{ "Contributors": [ "Siddhartha Mishra" ], "Source": [ "mathqa" ], "URL": [ "https://math-qa.github.io/math-QA/" ], "Categories": [ "Question Answering" ], "Reasoning": [ "Quantitative Reasoning", "Numerical Reasoning", "Mathematics -> Arithmetic" ], "Definition": [ "In this task, you need to answer the given multiple-choice question on the general math. Classify your answers into 'a', 'b', 'c', 'd', and 'e'." ], "Input_language": [ "English" ], "Output_language": [ "English" ], "Instruction_language": [ "English" ], "Domains": [ "Mathematics" ], "Positive Examples": [ { "input": "Problem: what is difference between biggest and smallest fraction among 2 / 3 , 3 / 4 , 4 / 5 and 5 / 3 \nOptions: a ) 2 / 5 , b ) 3 / 5 , c ) 1 / 6 , d ) 1 , e ) none of these", "explanation": "\"explanation : 2 / 3 = . 66 , 3 / 4 = . 75 , 4 / 5 = . 8 and 5 / 3 = 1.66 so the biggest is 5 / 3 and the smallest is 2 / 3 their difference is 5 / 3 - 2 / 3 = 3 / 3 = 1 option d\"", "output": "d" }, { "input": "Problem: if 2 / z = 2 / ( z + 1 ) + 2 / ( z + 49 ) which of these integers could be the value of z ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 5 , e ) 7", "explanation": "\"solving for z algebraically in this problem would not be easy . instead , we can follow the hint in the question ( “ which of these integers … ” ) and test each answer choice : a . 2 / 0 = 2 / 1 + 2 / 49 incorrect ( division by zero ) b . 2 / 1 = 2 / 2 + 2 / 50 incorrect c . 2 / 2 = 2 / 3 + 2 / 51 incorrect d . 2 / 3 = 2 / 4 + 2 / 54 incorrect e . 2 / 4 = 2 / 5 + 2 / 56 correct the correct answer is e , because it contains the only value that makes the equation work . notice how quickly this strategy worked in this case\"", "output": "e" } ], "Negative Examples": [ { "input": "Problem: how many prime numbers are between 76 / 8 and 124 / 5 ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "explanation": "\"76 / 8 = 38 / 4 = 19 / 2 = 10 - 124 / 5 = 25 - prime numbers between 10 and 29 are 11 , 13 , 17 , 19 , and 23 - sign signifies that the number is marginally less . answer e\". Hence, option a is incorrect.", "output": "a" }, { "input": "Problem: during the first two weeks of january , the total rainfall in springdale was 20 inches . if the rainfall during the second week was 1.5 times the rainfall during the first week , what was the rainfall during the second week of january ? \nOptions: a ) 5 inches , b ) 6 inches , c ) 9 inches , d ) 10 inches , e ) 12 inches", "explanation": "\"total rainfall in 2 weeks = 20 inches . assume the rainfall in second week = 1.5 x rainfall in first week = x total rainfall = 2.5 x = 20 inches x = 8 and 1.5 x = 12 rainfall during second week = 12 inches option e\". Hence, option a is incorrect.", "output": "a" } ], "Instances": [ { "id": "task1420-99fd852d993b492c8c6065ddc3fd17f6", "input": "Problem: if a * b * c = 130 , b * c * d = 65 , c * d * e = 750 and d * e * f = 250 the ( a * f ) / ( c * d ) = ? \nOptions: a ) 1 / 2 , b ) 2 / 3 , c ) 3 / 4 , d ) 4 / 3 , e ) none of these", "output": [ "b" ] }, { "id": "task1420-666d6f42062e4761b674403e74a369d1", "input": "Problem: there are 27 different 3 - digit integers that can be formed using only the digits 3 , 4 and 5 . if all 27 of the integers were listed , what would their sum be ? \nOptions: a ) 11,888 , b ) 11,988 , c ) 12,088 , d ) 12,188 , e ) 12,288", "output": [ "b" ] }, { "id": "task1420-e470a8d5316641f58ee148a56a7ce9cc", "input": "Problem: jerry bought a bottle of perfume for a gift for his wife . the perfume cost $ 92 before tax . if the total price including tax was $ 98.90 , find the tax rate \nOptions: a ) 7.5 % , b ) 5 % , c ) 12 % , d ) 8 % , e ) 10 %", "output": [ "a" ] }, { "id": "task1420-467ef4c913e84fcbb2cc4a68ddeb0a53", "input": "Problem: when y is divided by 288 , the remainder is 45 . what is the remainder when the same y is divided by 24 ? \nOptions: a ) 20 , b ) 21 , c ) 23 , d ) 25 , e ) 26", "output": [ "b" ] }, { "id": "task1420-08032b35804247bb805d09a69e9fec70", "input": "Problem: there are 4 more women than there are men on a local co - ed softball team . if there are a total of 20 players on the team , what is the ratio of men to women ? \nOptions: a ) 8 / 12 , b ) 6 / 16 , c ) 4 / 16 , d ) 6 / 10 , e ) 4 / 10", "output": [ "a" ] }, { "id": "task1420-49d9fb243a84484c8be567aadd8cdffa", "input": "Problem: how much is 90 % of 40 is greater than 4 / 5 of 25 ? \nOptions: a ) 29 , b ) 776 , c ) 66 , d ) 16 , e ) 99", "output": [ "d" ] }, { "id": "task1420-289218c3719e4ee084d8fabd21d4cae8", "input": "Problem: the average score of a cricketer in 2 matches is 27 and in other 3 matches is 32 . then find the average score in all the 5 matches ? \nOptions: a ) 25 , b ) 27 , c ) 30 , d ) 35 , e ) 42", "output": [ "c" ] }, { "id": "task1420-ec1a09eeac4540ddbdc176e6b0c08dc1", "input": "Problem: a telephone company needs to create a set of 3 - digit area codes . the company is entitled to use only digits 2 , 4 and 5 , which can be repeated . if the product of the digits in the area code must be even , how many different codes can be created ? \nOptions: a ) 20 , b ) 22 , c ) 24 , d ) 26 , e ) 30", "output": [ "d" ] }, { "id": "task1420-40d6873b334b44d29290b9e55d0896b7", "input": "Problem: there are 780 male and female participants in a meeting . half the female participants and one - quarterof the male participants are democrats . one - third of all the participants are democrats . how many of the democrats are female ? \nOptions: a ) 130 , b ) 100 , c ) 125 , d ) 175 , e ) 225", "output": [ "a" ] }, { "id": "task1420-b331b666b72143b5a47411cd18e7afe4", "input": "Problem: the average weight of 4 person ' s increases by 1.5 kg when a new person comes in place of one of them weighing 95 kg . what might be the weight of the new person ? \nOptions: a ) 101 kg , b ) 103.4 kg , c ) 105 kg , d ) data inadequate , e ) none of these", "output": [ "a" ] }, { "id": "task1420-de8d1f1d98d84a04a49b22d0cb3de377", "input": "Problem: how many odd prime numbers are there less than 125 ? \nOptions: a ) 29 , b ) 34 , c ) 44 , d ) 54 , e ) 64", "output": [ "a" ] }, { "id": "task1420-9ba1c13f604a408d93f7e0be4142111e", "input": "Problem: the difference between a positive proper fraction and its reciprocal is 9 / 20 . the fraction is : \nOptions: a ) 4 / 5 , b ) 5 / 4 , c ) 3 / 5 , d ) 2 / 5 , e ) 3 / 4", "output": [ "a" ] }, { "id": "task1420-fd58e2cad8bc46b5aceeed8b7f0542fb", "input": "Problem: a no . when divided by 223 gives a remainder 43 , what remainder will beobtained by dividingthe same no . 17 ? \nOptions: a ) 2 , b ) 7 , c ) 9 , d ) 11 , e ) 15", "output": [ "d" ] }, { "id": "task1420-92e636bf1de849ca86a8ead0c9b978ea", "input": "Problem: find the value of 3 / 11 × [ ( 1 + 1 / 3 ) ( 1 + 1 / 4 ) … … … … . ( 1 + 1 / 120 ) ] is \nOptions: a ) 11 , b ) 12 , c ) 13 , d ) 14 , e ) 15", "output": [ "a" ] }, { "id": "task1420-98091b950d0f41dda3327d481843086e", "input": "Problem: how many integers between 314,700 and 458,600 have tens digit 1 and units digit 3 ? \nOptions: a ) 10,300 , b ) 10,030 , c ) 1,353 , d ) 1,352 , e ) 1,439", "output": [ "e" ] }, { "id": "task1420-e8b9bc7120364ab7bf9b5ef5642b20bc", "input": "Problem: in a can , there is a mixture of milk and water in the ratio 4 : 5 . if it is filled with an additional 14 litres of milk the can would be full and ratio of milk and water would become 6 : 5 . find the capacity of the can ? \nOptions: a ) 40 , b ) 77 , c ) 48 , d ) 52 , e ) none of these", "output": [ "b" ] }, { "id": "task1420-3df131ba78cf41f5ae16c4ad0a25fd34", "input": "Problem: a is two years older than b who is twice as old as c . if the total of the ages of a , b and c be 27 , the how old is b ? \nOptions: a ) 7 , b ) 9 , c ) 8 , d ) 11 , e ) 10", "output": [ "e" ] }, { "id": "task1420-1e932d26cc124d94aaf7bacffa3216f5", "input": "Problem: find the product of the local value and absolute value of 2 in 564823 \nOptions: a ) 40 , b ) 60 , c ) 80 , d ) 100 , e ) 18000", "output": [ "a" ] }, { "id": "task1420-7658791836f7400b9cd06b074846fb9e", "input": "Problem: in a certain archery competition , points were awarded as follows : the first place winner receives 11 points , the second place winner receives 7 points , the third place winner receives 5 points and the fourth place winner receives 2 points . no other points are awarded . john participated several times in the competition and finished first , second , third , or fourth each time . the product of all the points he received was 30800 . how many times did he participate in the competition ? \nOptions: a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 9", "output": [ "d" ] }, { "id": "task1420-0e4400be365d4799a311ecd2a1d9af6b", "input": "Problem: if x ^ 2 + 9 / x ^ 2 = 10 , what is the value of x - 3 / x \nOptions: a ) 36 , b ) 25 , c ) 2 , d ) 5 , e ) 3", "output": [ "c" ] }, { "id": "task1420-dedee1e2ef6842c08e653628f87b25f9", "input": "Problem: the average of 15 result is 55 . average of the first 7 of them is 57 and that of the last 7 is 61 . find the 8 th result ? \nOptions: a ) 760 , b ) 720 , c ) 700 , d ) 786 , e ) 797", "output": [ "e" ] }, { "id": "task1420-6c414f4f629a469e937a0a28a092feb5", "input": "Problem: city x has a population 7 times as great as the population of city y , which has a population twice as great as the population of city z . what is the ratio of the population of city x to the population of city z ? \nOptions: a ) 1 : 8 , b ) 1 : 4 , c ) 2 : 1 , d ) 14 : 1 , e ) 18 : 1", "output": [ "d" ] }, { "id": "task1420-bb74501334a14ba0b7080748a05da693", "input": "Problem: what is value of ( ( 2 ^ 5 ) * ( 9 ^ 2 ) ) / ( ( 8 ^ 2 ) * ( 3 ^ 5 ) ) = ? \nOptions: a ) 1 / 6 , b ) 1 / 3 , c ) 2 / 3 , d ) 1 / 4 , e ) 4", "output": [ "a" ] }, { "id": "task1420-07c0efff65fe4613acad0891af0c7d99", "input": "Problem: how many multiples of 9 are there between 18 and 270 ? \nOptions: a ) 12 , b ) 27 , c ) 42 , d ) 61 , e ) 60", "output": [ "b" ] }, { "id": "task1420-b3b33dbe03654813838911ad2d6a49f4", "input": "Problem: a man is 22 years older than his son . in two years , his age will be twice the age of his son . the present age of this son is \nOptions: a ) 21 years , b ) 22 years , c ) 20 years , d ) 24 years , e ) 26 years", "output": [ "c" ] }, { "id": "task1420-7204ea3f633f4e689424092b6f60388b", "input": "Problem: if 2994 ã · 14.5 = 179 , then 29.94 ã · 1.45 = ? \nOptions: a ) 17.1 , b ) 17.3 , c ) 17.5 , d ) 17.7 , e ) 17.9", "output": [ "e" ] }, { "id": "task1420-63483c510f8342ef854a6cceb10a73d1", "input": "Problem: the average of 7 numbers is 20 . if each number be multiplied by 5 . find the average of new set of numbers ? \nOptions: a ) a ) 100 , b ) b ) 122 , c ) c ) 120 , d ) d ) 125 , e ) e ) 145", "output": [ "a" ] }, { "id": "task1420-f433f809fa9a48fa9e838958b5053dc4", "input": "Problem: angelo and isabella are both salespersons . in any given week , angelo makes $ 550 in base salary plus 8 percent of the portion of his sales above $ 6,000 for that week . isabella makes 10 percent of her total sales for any given week . for what amount of weekly sales would angelo and isabella earn the same amount of money ? \nOptions: a ) 3,500 , b ) 24,500 , c ) 25,500 , d ) 26,500 , e ) 27,500", "output": [ "a" ] }, { "id": "task1420-16dc8ce3b6e0460281eff10e54459199", "input": "Problem: a student is ranked 12 th from right and 6 th from left . how many students are there in totality ? \nOptions: a ) 17 , b ) 19 , c ) 20 , d ) 21 , e ) 22", "output": [ "b" ] }, { "id": "task1420-00ba5fb5467848a79534b3f02d486739", "input": "Problem: what is the least number should be added to 1056 , so the sum of the number is completely divisible by 29 ? \nOptions: a ) 17 , b ) 27 , c ) 37 , d ) 47 , e ) 57", "output": [ "a" ] }, { "id": "task1420-da5127a301c049e88204976d704d5657", "input": "Problem: a man can row 3.3 km / hr in still water . it takes him twice as long to row upstream as to row downstream . what is the rate of the current ? \nOptions: a ) 1.9 , b ) 1.7 , c ) 1.2 , d ) 1.5 , e ) 1.1", "output": [ "e" ] }, { "id": "task1420-4e13f8c2dcf64b05ae7564a39e7f7e6a", "input": "Problem: a batsman makes a score of 100 runs in the 11 th inning and thus increases his average by 5 . find his average after 11 th inning . \nOptions: a ) 40 , b ) 50 , c ) 62 , d ) 45 , e ) 56", "output": [ "b" ] }, { "id": "task1420-35f411e69ac243598a73ae71ac6b9f1f", "input": "Problem: if 25 % of x is 15 less than 12 % of 1500 , then x is ? \nOptions: a ) 660 , b ) 738 , c ) 837 , d ) 840 , e ) 83", "output": [ "a" ] }, { "id": "task1420-0fede16a3d004a458365646f242de1a7", "input": "Problem: at the end of the day , february 14 th , a florist had 150 roses left in his shop , all of which were red , white or pink in color and either long or short - stemmed . a third of the roses were short - stemmed , 20 of which were white and 15 of which were pink . the percentage of pink roses that were short - stemmed equaled the percentage of red roses that were short - stemmed . if none of the long - stemmed roses were white , what percentage of the long - stemmed roses were red ? \nOptions: a ) 50 % , b ) 25 % , c ) 250 % , d ) 75 % , e ) 80 %", "output": [ "a" ] }, { "id": "task1420-d2e4a382ce69423a823d0fedb30972f7", "input": "Problem: what is the value of ( p + q ) / ( p - q ) if p / q is 4 ? \nOptions: a ) 5 / 3 , b ) 2 / 3 , c ) 2 / 6 , d ) 7 / 8 , e ) 8 / 7", "output": [ "a" ] }, { "id": "task1420-59f13b3d00814c7abe0aa1332895bdb9", "input": "Problem: exactly 3 / 8 of the people in the room are under the age of 21 , and exactly 5 / 12 of the people in the room are over the age of 65 . if the total number of the people in the room is greater than 50 and less than 100 , how many people in the room are under the age of 21 ? \nOptions: a ) 21 , b ) 36 , c ) 39 , d ) 60 , e ) 65", "output": [ "b" ] }, { "id": "task1420-fd6faade93b0455c9a3069b102ae44ec", "input": "Problem: divide rs . 1300 among a , b and c so that a receives 1 / 3 as much as b and c together and b receives 2 / 3 as a and c together . a ' s share is ? \nOptions: a ) 346 , b ) 368 , c ) 375 , d ) 337 , e ) 325", "output": [ "e" ] }, { "id": "task1420-c2bc0015d24540f89e1a53bca98383c6", "input": "Problem: if 9 / ( 5 + 3 / x ) = 1 , then x = \nOptions: a ) 3 , b ) 1 , c ) 3 / 4 , d ) - 1 / 3 , e ) - 3", "output": [ "c" ] }, { "id": "task1420-17ddad31950f46dc98ccdf07b54513b7", "input": "Problem: the average ( arithmetic mean ) of the even integers from 0 to 120 inclusive is how much greater than the average ( arithmetic mean ) of the even integers from 0 to 60 inclusive ? \nOptions: a ) 10 , b ) 15 , c ) 20 , d ) 30 , e ) 60", "output": [ "d" ] }, { "id": "task1420-aaae1094875c45b7887437a29ac1fd71", "input": "Problem: the maximum number of students among them 1008 pens and 928 pencils can be distributed in such a way that each student get the same number of pens and same number of pencils ? \nOptions: a ) 16 , b ) 18 , c ) 36 , d ) 19 , e ) 32", "output": [ "a" ] }, { "id": "task1420-2af9745d5e30489c8d8b1a9f498f6819", "input": "Problem: what is the area inscribed by the lines y = 3 , x = 2 , y = x + 3 on an xy - coordinate plane ? \nOptions: a ) a ) 1 , b ) b ) 2 , c ) c ) 4 , d ) d ) 6 , e ) e ) 10", "output": [ "b" ] }, { "id": "task1420-577658f8821a453dbde0e4653ebc1a8f", "input": "Problem: if a and b are positive integers and ( 2 ^ a ) ^ b = 2 ^ 5 , what is the value of 2 ^ a * 2 ^ b ? \nOptions: a ) 8 , b ) 64 , c ) 16 , d ) 32 , e ) 4", "output": [ "b" ] }, { "id": "task1420-bf56e1d8b3b44edf8b71f1b89a52f627", "input": "Problem: 7 people average age is 30 . youngest person age is 6 . find average of the people when youngest was born . \nOptions: a ) 23 , b ) 24 , c ) 25 , d ) 26 , e ) 27", "output": [ "b" ] }, { "id": "task1420-8bc7b576d0f64230a0b704a95cb97ddd", "input": "Problem: matt gets a $ 1,600 commission on a big sale . this commission alone raises his average commission by $ 150 . if matt ' s new average commission is $ 400 , how many sales has matt made ? \nOptions: a ) 9 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "a" ] }, { "id": "task1420-7fd84215048d4a0688fcc081a658cd1e", "input": "Problem: find the lowest common multiple of 15 , 25 and 35 . \nOptions: a ) 360 , b ) 420 , c ) 510 , d ) 525 , e ) 280", "output": [ "d" ] }, { "id": "task1420-7c0ab59aabc449c3ad0ed84d11289cf2", "input": "Problem: find the ones digit of 73 ^ 352 \nOptions: a ) 1 , b ) 5 , c ) 6 , d ) 7 , e ) 9", "output": [ "a" ] }, { "id": "task1420-192ae70c4458478f951af3844ff1d7c7", "input": "Problem: the ages of two persons differ by 24 years . if 5 years ago , the elder one be 5 times as old as the younger one , their present ages ( in years ) are respectively \nOptions: a ) 20,20 , b ) 20,10 , c ) 25,15 , d ) 35,11 , e ) none of these", "output": [ "d" ] }, { "id": "task1420-4d332fe7e83b4e57b742ce96c5ad202f", "input": "Problem: the tax on a commodity is diminished by 40 % but its consumption is increased by 25 % . find the decrease percent in the revenue derived from it ? \nOptions: a ) 18 % , b ) 72 % , c ) 25 % , d ) 12 % , e ) 52 %", "output": [ "c" ] }, { "id": "task1420-e98c29c6c40e4db18dd6cb39c584477c", "input": "Problem: in what ratio p : q should the mixture p of milk and water in the ratio of 5 : 3 be mixed with another mixture q of milk and water in the ratio 1 : 3 so that the resultant mixture contains equal quantities of milk and water ? \nOptions: a ) 5 : 2 , b ) 4 : 3 , c ) 3 : 2 , d ) 2 : 1 , e ) 4 : 1", "output": [ "d" ] }, { "id": "task1420-8c5cbabb01ec4dac8920527a8a0d5897", "input": "Problem: when 2 + 3 = 65 , 3 + 4 = 125 , 4 + 5 = 205 , then 5 + 6 = ? \nOptions: a ) 285 , b ) 305 , c ) 315 , d ) 350 , e ) 245", "output": [ "b" ] }, { "id": "task1420-9e2c712d69a54f4090eb66c9ae33829a", "input": "Problem: if 16 ^ 5 * 15 ^ 4 * 14 ^ 3 * 13 ^ 2 = x , what is the units digit of x ? \nOptions: a ) 2 , b ) 3 , c ) 6 , d ) 5 , e ) 0", "output": [ "e" ] }, { "id": "task1420-e49b952a079e4077841d27a3d0779ec7", "input": "Problem: find the mean proportional between 81 & 100 ? \nOptions: a ) a ) 59 , b ) b ) 61 , c ) c ) 63 , d ) d ) 65 , e ) e ) 90", "output": [ "e" ] }, { "id": "task1420-7ee5ca4e5c244195b3906a4f906255a1", "input": "Problem: for any integer k > 1 , the term “ length of an integer ” refers to the number of positive prime factors , not necessarily distinct , whose product is equal to k . for example , if k = 24 , the length of k is equal to 4 , since 24 = 2 × 2 × 2 × 3 . if x and y are positive integers such that x > 1 , y > 1 , and x + 3 y < 920 , what is the maximum possible sum of the length of x and the length of y ? \nOptions: a ) 14 , b ) 12 , c ) 10 , d ) 16 , e ) 18", "output": [ "d" ] }, { "id": "task1420-cd2b250adf784c3e83cbfe5240462805", "input": "Problem: the average weight of 8 person ' s increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg . what is the weight of the new person ? \nOptions: a ) 75 , b ) 65 , c ) 85 , d ) 95 , e ) 80", "output": [ "c" ] }, { "id": "task1420-678e9fddbb46400cbe5c2b78208f6d7c", "input": "Problem: if y is a positive number and 1 / 2 the square root of x is the cube root of y , then y = \nOptions: a ) 64 , b ) 32 , c ) 16 , d ) 4 , e ) 1", "output": [ "a" ] }, { "id": "task1420-8f921bec41c44dd0a278a3cc47094dea", "input": "Problem: on the number line , the number p is twice as many units from - 2 as - 2 is from 5 . if p is less than – 2 , what is the value of p ? \nOptions: a ) – 16 , b ) – 10 , c ) – 6 , d ) 10 , e ) 14", "output": [ "a" ] }, { "id": "task1420-d8a5d47bd4f942b8b57a019715d4dcf7", "input": "Problem: let f ( x , y ) be defined as the remainder when ( x – y ) ! is divided by x . if x = 36 , what is the maximum value of y for which f ( x , y ) = 0 ? \nOptions: a ) 9 , b ) 12 , c ) 18 , d ) 20 , e ) 30", "output": [ "e" ] }, { "id": "task1420-5ffbc93ed6594b6e9c74620713aaf512", "input": "Problem: the revenue from sales items in 1996 increases by x percent , compared in 1995 and the revenue in 1997 decreases by x percent , compared in 1996 . if the revenue from sales items in 1997 decreases by 4 percent , compared in 1995 , what is the value of x ? \nOptions: a ) 10 , b ) 15 , c ) 20 , d ) 30 , e ) 35", "output": [ "c" ] }, { "id": "task1420-73014d6ef4794b628ddc3cd1bba7749f", "input": "Problem: one - third of rahul ' s savings in national savings certificate is equal to one - half of his savings in public provident fund . if he has rs . 1 , 25,000 as total savings , how much has he saved in public provident fund ? \nOptions: a ) 80000 , b ) 60000 , c ) 50000 , d ) 75000 , e ) 90000", "output": [ "c" ] }, { "id": "task1420-94dbd601a9ca4b80b626bcd6ab4f9701", "input": "Problem: what is the value of 4 ^ 4 + 4 ^ 6 ? \nOptions: a ) 4 ^ 12 , b ) 4 ^ 35 , c ) 17 ( 4 ^ 5 ) , d ) 8 ^ 12 , e ) 17 ( 4 ^ 4 )", "output": [ "e" ] }, { "id": "task1420-c7823d53d00c4e1a81a0f9fa65534167", "input": "Problem: 5.511 / 10.02 = \nOptions: a ) 0.35 , b ) 0.55 , c ) 0.3509 , d ) 0.351 , e ) 0.3527", "output": [ "b" ] }, { "id": "task1420-152dab4f971f4c6fa2b278925704fbbb", "input": "Problem: company s produces two kinds of stereos : basic and deluxe . of the stereos produced by company s last month , 2 / 3 were basic and the rest were deluxe . if it takes 1.6 as many hours to produce a deluxe stereo as it does to produce a basic stereo , then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos ? \nOptions: a ) 7 / 17 , b ) 14 / 31 , c ) 7 / 15 , d ) 17 / 35 , e ) 1 / 2", "output": [ "e" ] }, { "id": "task1420-0e9d5129ecb541dc806fad32d2d8f71d", "input": "Problem: the average of the marks of 25 students in a class is 70 . if the marks of each student are doubled , find the new average ? \nOptions: a ) 140 , b ) 100 , c ) 85 , d ) 160 , e ) 190", "output": [ "a" ] }, { "id": "task1420-f09902e78d7849c283c87bd66a673470", "input": "Problem: the temperature of a certain cup of coffee 10 minutes after it was poured was 120 degrees fahrenheit . if the temperature f of the coffee t minutes after it was poured can be determined by the formula f = 120 ( 2 ^ - at ) + 60 , where f is in degrees fahrenheit and a is a constant . then the temperature of the coffee 60 minutes after it was poured was how many degrees fahrenheit ? \nOptions: a ) 125 , b ) 95 , c ) 80 , d ) 61.8 , e ) 50", "output": [ "d" ] }, { "id": "task1420-8e2aa933da3a4fe684e066b64b59a0fe", "input": "Problem: if a is a positive integer , and if the units digit of a ^ 2 is 9 and the units digit of ( a + 1 ) ^ 2 is 4 , what is the units g digit of ( a + 2 ) ^ 2 ? \nOptions: a ) 1 , b ) 3 , c ) 5 , d ) 6 , e ) c . 14", "output": [ "a" ] }, { "id": "task1420-16778cbdd683448a8c045ff5c99f81aa", "input": "Problem: a football player scores 3 goals in his fifth match thus increasing his average goals score by 0.2 . the total number of goals in his 5 matches would be \nOptions: a ) 4 , b ) 6 , c ) 8 , d ) 11 , e ) 12", "output": [ "d" ] }, { "id": "task1420-1cf116f7c36c4bd987e2c42bb05d745f", "input": "Problem: a one - foot stick is marked in 1 / 4 and 1 / 5 portion . how many total markings will there be , including the end points ? \nOptions: a ) 18 , b ) 16 , c ) 13 , d ) 9 , e ) 11", "output": [ "d" ] }, { "id": "task1420-1ddf4377409749068f664ece66ef129f", "input": "Problem: if 3 / p = 4 & 3 / q = 18 then p - q = ? \nOptions: a ) 5 / 24 , b ) 7 / 12 , c ) 7 / 24 , d ) 8 / 24 , e ) 9 / 24", "output": [ "b" ] }, { "id": "task1420-d8cba1b8209b4a828a8035a8f8cee784", "input": "Problem: at the end of year x , automobile installment credit accounted for 36 % of all outstanding consumer installment credit . at that time automobile finance companies extended $ 57 billion of credit , or 1 / 3 of the automobile installment credit . how many billion dollars of consumer installment credit was outstanding at that time ? \nOptions: a ) 62 , b ) 171 , c ) 475 , d ) 513 , e ) 684", "output": [ "c" ] }, { "id": "task1420-d3b1a8ded1cd47319dcc61dcf53d514b", "input": "Problem: if p is a prime number greater than 3 , find the remainder when p ^ 2 + 12 is divided by 12 . \nOptions: a ) 6 , b ) 1 , c ) 0 , d ) 8 , e ) 7", "output": [ "b" ] }, { "id": "task1420-b5ea9c51de8345c58909a49e819070ec", "input": "Problem: if a / b = 1 / 3 , b / c = 2 , c / d = 1 / 2 , d / e = 3 and e / f = 1 / 6 , then what is the value of abc / def ? \nOptions: a ) 27 / 4 , b ) 27 / 8 , c ) 3 / 4 , d ) 3 / 8 , e ) 1 / 4", "output": [ "e" ] }, { "id": "task1420-78f1c08209384a1c8ec8f23c864311e4", "input": "Problem: when asked what the time is , a person answered that the amount of time left is 1 / 2 of the time already completed . what is the time . \nOptions: a ) 2 pm , b ) 9 pm , c ) 3 pm , d ) 4 pm , e ) 6 pm", "output": [ "d" ] }, { "id": "task1420-eb6fb547c4484fbcb023679fb9e91ad2", "input": "Problem: a man has some hens and cows . if the number of heads be 60 and the number of feet equals 200 , then the number of hens will be : \nOptions: a ) 22 , b ) 25 , c ) 24 , d ) 20 , e ) 28", "output": [ "d" ] }, { "id": "task1420-1e2491e7fb894d7daa0691065393e072", "input": "Problem: if an integer n is to be chosen at random from the integers 1 to 86 , inclusive , what is the probability that n ( n + 1 ) ( n + 2 ) will be divisible by 8 ? \nOptions: a ) 1 / 4 , b ) 3 / 8 , c ) 1 / 2 , d ) 55 / 86 , e ) 3 / 4", "output": [ "d" ] }, { "id": "task1420-e3e8bb5e64364f03b0ddbb8613a3ed19", "input": "Problem: the cost per unit of electricity during a 4 year period is as follows : year 1 , $ 3 per unit ; year 2 , $ 4 per unit ; year 3 , $ 5 per unit ; year 4 , $ 6 per unit . if a factory spent equal dollars on electricity each year , what was the average cost of a unit of electricity during the 4 year period ? \nOptions: a ) $ 4.31 , b ) $ 4.51 , c ) $ 4.21 , d ) $ 5.21 , e ) $ 5.61", "output": [ "c" ] }, { "id": "task1420-1dfda68caaa4451ab2c3480cb8b16f29", "input": "Problem: if x : y = 3 : 5 , find the value of ( 2 x + 4 y ) : ( 3 x – y ) \nOptions: a ) 13 : 2 , b ) 11 : 2 , c ) 13 : 3 , d ) 13 : 4 , e ) 13 : 5", "output": [ "a" ] }, { "id": "task1420-55d2007505d547f19a6f858129d444f0", "input": "Problem: average age of students of an adult school is 46 years . 120 new students whose average age is 32 years joined the school . as a result the average age is decreased by 4 years . find the number of students of the school after joining of the new students . \nOptions: a ) 1200 , b ) 120 , c ) 360 , d ) 168 , e ) none of these", "output": [ "d" ] }, { "id": "task1420-6e27bf38eff44255868df2e2621d8640", "input": "Problem: 270 ã · ? ã — 15 + 270 = 405 \nOptions: a ) 24 , b ) 25 , c ) 30 , d ) 39 , e ) 43", "output": [ "c" ] }, { "id": "task1420-6144449bc5194ae2b401cf7f290bac6c", "input": "Problem: if there are 4 peanuts in a box and mary puts 8 more peanuts inside , how many peanuts are in the box ? \nOptions: a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 12", "output": [ "e" ] }, { "id": "task1420-baec600968c645338aa31bb97d5ca557", "input": "Problem: a ’ s speed is 20 / 19 times that of b . if a and b run a race , what part of the length of the race should a give b as a head start , so that the race ends in a dead heat ? \nOptions: a ) 1 / 19 , b ) 3 / 19 , c ) 1 / 10 , d ) 1 / 20 , e ) 3 / 10", "output": [ "d" ] }, { "id": "task1420-69b5f838431048e6a5af41fa494b6412", "input": "Problem: a certain number of horses and an equal number of men are going somewhere . half of the owners are on their horses ' back while the remaining ones are walking along leading their horses . if the number of legs walking on the ground is 40 , how many horses are there ? \nOptions: a ) 8 , b ) 12 , c ) 14 , d ) 16 , e ) 18", "output": [ "a" ] }, { "id": "task1420-2ad2d50cdc3743b7a5ef10b38462e4a5", "input": "Problem: a picnic attracts 240 persons . there are 80 more men than women , and 80 more adults than children . how many men are at this picnic ? \nOptions: a ) 240 , b ) 75 , c ) 110 , d ) 120 , e ) 200", "output": [ "d" ] }, { "id": "task1420-29d8f91a12584d1fa4e69c67ea3b27c8", "input": "Problem: each child has 5 crayons and 14 apples . if there are 10 children , how many crayons are there in total ? \nOptions: a ) 22 , b ) 65 , c ) 12 , d ) 36 , e ) 50", "output": [ "e" ] }, { "id": "task1420-0fdfe7c9c7ad4b77b041583b3b229ea3", "input": "Problem: for what value of x , is | x – 2 | + | x + 5 | + | x | = 17 ? \nOptions: a ) 0 , b ) 3 , c ) - 3 , d ) 5 , e ) - 5", "output": [ "d" ] }, { "id": "task1420-852a43c76e424eb1a2731a885057308d", "input": "Problem: a customer bought a product at the shop . however , the shopkeeper increased the price of the product by 20 % so that the customer could not buy the required amount of the product . the customer managed to buy only 80 % of the required amount . what is the difference in the amount of money that the customer paid for the second purchase compared to the first purchase ? \nOptions: a ) 10 % , b ) 8 % , c ) 6 % , d ) 4 % , e ) 2 %", "output": [ "d" ] }, { "id": "task1420-a23ebe5abfac48e9b225ea9064b15332", "input": "Problem: there is a total of 120 marbles in a box , each of which is red , green , blue , or white . if one marble is drawn from the box at random , the probability that it will be white is 1 / 4 and the probability that it will be green is 1 / 3 . what is the probability that the marble will be either red or blue ? \nOptions: a ) 1 / 6 , b ) 1 / 4 , c ) 2 / 7 , d ) 1 / 3 , e ) 5 / 12", "output": [ "e" ] }, { "id": "task1420-6cf96d1c8ea0480f9be96b3f8428f77f", "input": "Problem: a large box contains 17 small boxes and each small box contains 26 chocolate bars . how many chocolate bars are in the large box ? \nOptions: a ) a ) 442 , b ) b ) 490 , c ) c ) 380 , d ) d ) 450 , e ) e ) 690", "output": [ "a" ] }, { "id": "task1420-330499b333004ba4ba46a8f02d54fd6f", "input": "Problem: let the number which when multiplied by 13 is increased by 180 . \nOptions: a ) 14 , b ) 20 , c ) 15 , d ) 28 , e ) 30", "output": [ "c" ] }, { "id": "task1420-70209c5b9a934966853bf41fb39a0398", "input": "Problem: evaluate : 11 + sqrt ( - 4 + 6 × 4 ÷ 3 ) = ? \nOptions: a ) 10 , b ) 11 , c ) 12 , d ) 13 , e ) 14", "output": [ "d" ] }, { "id": "task1420-7d64c431088244158ac359c324a83325", "input": "Problem: when the positive integer x is divided by 9 , the remainder is 5 . what is the remainder when 5 x is divided by 9 ? \nOptions: a ) 0 , b ) 1 , c ) 3 , d ) 4 , e ) 7", "output": [ "e" ] }, { "id": "task1420-c0368b0145004e25ba947a1e95984dd9", "input": "Problem: when positive integer x is divided by positive integer y , the remainder is 9 . if x / y = 96.25 , what is the value of y ? \nOptions: a ) 96 , b ) 75 , c ) 36 , d ) 25 , e ) 12", "output": [ "c" ] }, { "id": "task1420-f726f581401047c1840ef63fe5b9d875", "input": "Problem: the average temperature for monday , tuesday , wednesday and thursday was 48 degrees and for tuesday , wednesday , thursday and friday was 46 degrees . if the temperature on monday was 44 degrees . find the temperature on friday ? \nOptions: a ) 65 degrees , b ) 73 degrees , c ) 36 degrees , d ) 34 degrees , e ) 74 degrees", "output": [ "c" ] }, { "id": "task1420-4ea0dda8c22d42dc9c559b35eff5c619", "input": "Problem: in a certain brick wall , each row of bricks above the bottom row contains one less brick than the row just below it . if there are 5 rows in all and a total of 100 bricks in the wall , how many bricks does the bottom row contain ? \nOptions: a ) 18 , b ) 16 , c ) 17 , d ) 15 , e ) 19", "output": [ "a" ] }, { "id": "task1420-f33e41cc31dd42d48b8b144dc14485c3", "input": "Problem: in what ratio p : q should the mixture p of milk and water in the ratio of 5 : 4 be mixed with another mixture q of milk and water in the ratio 2 : 7 so that the resultant mixture contains equal quantities of milk and water ? \nOptions: a ) 3 : 2 , b ) 2 : 1 , c ) 4 : 3 , d ) 4 : 1 , e ) 5 : 1", "output": [ "e" ] }, { "id": "task1420-caccf4411e3a4e9e8357afff7b602e4b", "input": "Problem: from given equation find the value of x : 2 x ² + 9 x − 5 \nOptions: a ) 1 / 2 , b ) 1 , c ) 3 , d ) 4 , e ) 5", "output": [ "a" ] }, { "id": "task1420-d14bdb3c75374cfe887a000b549470f3", "input": "Problem: there are 11 baskets numbered from 1 to 11 and filled with apples . 10 children are asked to pick apples one by one from each basket such that the number of apples picked by each child from each basket is equal to the number marked on the basket . if there were 1000 apples in total and the baskets were filled in such a way that none of the basket became empty in the process , how many apples were left in the end ? \nOptions: a ) 180 , b ) 220 , c ) 260 , d ) 300 , e ) 340", "output": [ "e" ] }, { "id": "task1420-b08f036d3d3345068b7a7c39126860a1", "input": "Problem: jacob is 39 years old . he is 3 times as old as his brother . how old will jacob be when he is twice as old ? \nOptions: a ) 63 , b ) 64 , c ) 65 , d ) 76 , e ) 67", "output": [ "c" ] }, { "id": "task1420-d601bee1ba6c4f3887fe9451411a10d9", "input": "Problem: what is the smallest number which when increased by 3 is divisible by 27 , 35 , 25 , & 21 ? \nOptions: a ) 4722 , b ) 4725 , c ) 4728 , d ) 4731 , e ) 4733", "output": [ "a" ] }, { "id": "task1420-a7ac240c1dd44bd6b4cb37bd35b85b1d", "input": "Problem: what is the sum of the numbers between 1 and 10 , inclusive ? \nOptions: a ) 85 , b ) 95 , c ) 100 , d ) 105 , e ) 55", "output": [ "e" ] }, { "id": "task1420-e2020c05a3a8475299c2db4e11ac2086", "input": "Problem: a palindrome is a number that reads the same forward and backward , such as 124 . how many odd , 4 - digit numbers are palindromes ? \nOptions: a ) 40 , b ) 45 , c ) 50 , d ) 60 , e ) 2500", "output": [ "d" ] }, { "id": "task1420-f8a06149584c41f29476ecc59980835b", "input": "Problem: the total age of a and b is 13 years more than the total age of b and c . c is how many years younger than a ? \nOptions: a ) 13 , b ) 24 , c ) c is elder than a , d ) data inadequate , e ) none", "output": [ "a" ] }, { "id": "task1420-819ab23132d44fbdadff3a588393c158", "input": "Problem: an employee ’ s annual salary was increased $ 5000 . if her new annual salary now equals $ 25000 what was the percent increase ? \nOptions: a ) 15 % , b ) 80 % , c ) 20 % , d ) 22 % , e ) 24 %", "output": [ "b" ] }, { "id": "task1420-326d5dfc01e04ee78d61379e0d2f7447", "input": "Problem: pat , kate , and mark charged a total of 117 hours to a certain project . if pat charged twice as much time to the project as kate and 1 / 3 as much time as mark , how many more hours did mark charge to the project than kate ? \nOptions: a ) 18 , b ) 36 , c ) 72 , d ) 90 , e ) 65", "output": [ "e" ] }, { "id": "task1420-3a02607d9db84820a1bb90c99f0a9012", "input": "Problem: the sum of the even numbers between 1 and n is 89 * 90 , where n is an odd number , then n = ? \nOptions: a ) 167 , b ) 173 , c ) 179 , d ) 185 , e ) 193", "output": [ "c" ] }, { "id": "task1420-baa101cab105454c9e9bb1e606a53dd1", "input": "Problem: in a hostel there were 100 students . to accommodate 40 more students the average is decreased by rupees 10 . but total expenditure decreased by rs . 400 . find the total expenditure of the hostel now ? \nOptions: a ) 1400 , b ) 2500 , c ) 3000 , d ) 1500 , e ) 2100", "output": [ "e" ] }, { "id": "task1420-5fd78e5b9e224777bca11bb77fd6497e", "input": "Problem: a father said to his son , ` ` i was as old as you are at the present at the time of your birth ' ' . if the father ' s age is 52 years now , the son ' s age 5 years back was : \nOptions: a ) a ) 14 , b ) b ) 67 , c ) c ) 56 , d ) d ) 21 , e ) e ) 34", "output": [ "d" ] }, { "id": "task1420-2064a2dc683d4b51be80c83956664c20", "input": "Problem: a certain debt will be paid in 52 installments from january 1 to december 31 of a certain year . each of the first 22 payments is to be $ 410 ; each of the remaining payments is to be $ 65 more than each of the first 22 payments . what is the average ( arithmetic mean ) payment that will be made on the debt for the year ? \nOptions: a ) 447.5 , b ) 450 , c ) 465 , d ) 468 , e ) 475", "output": [ "a" ] }, { "id": "task1420-b87cef5d74be475a84d006afc6379010", "input": "Problem: what is the smallest no . which must be added to 27452 so as to obtain a sum which is divisible by 9 ? \nOptions: a ) 7 , b ) 2 , c ) 9 , d ) 4 , e ) 6", "output": [ "a" ] }, { "id": "task1420-8fac96a69f444ce99bd0fc8a93116c37", "input": "Problem: if x + y = - 4 , and x = 6 / y , what is the value of x ^ 2 + y ^ 2 ? \nOptions: a ) 10 , b ) 15 , c ) 6 , d ) 4 , e ) 5", "output": [ "d" ] }, { "id": "task1420-33c3a3cd24ef490794888c41a3192aee", "input": "Problem: if 4 ( p ' s capital ) = 6 ( q ' s capital ) = 10 ( r ' s capital ) , then out of the total profit of rs 4340 , r will receive \nOptions: a ) 600 , b ) 700 , c ) 840 , d ) 900 , e ) none of these", "output": [ "c" ] }, { "id": "task1420-d2cc1bbe0cbc4251a56d2e8e9ca33f7c", "input": "Problem: in a river flowing at 2 km / hr , a boat travels 64 km upstream and then returns downstream to the starting point . if its speed in still water be 6 km / hr , find the total journey time . \nOptions: a ) 10 hours , b ) 12 hours , c ) 14 hours , d ) 24 hours , e ) none of these", "output": [ "d" ] }, { "id": "task1420-d7ee49abd4784076bc98581e4055568e", "input": "Problem: calculate 469157 x 9999 = ? \nOptions: a ) 4586970843 , b ) 4686970743 , c ) 4691100843 , d ) 4586870843 , e ) none", "output": [ "c" ] }, { "id": "task1420-4ba7ad7613e34f32b011e99b0957fa44", "input": "Problem: 12 . what is the dividend . divisor 17 , the quotient is 9 and the remainder is 6 . \nOptions: a ) 150 , b ) 152 , c ) 154 , d ) 159 , e ) 144", "output": [ "d" ] }, { "id": "task1420-27e108a1587c4d95bcac000ca933caaa", "input": "Problem: find the average of all the numbers between 6 and 34 which are divisible by 5 . \nOptions: a ) 18 , b ) 20 , c ) 24 , d ) 30 , e ) 32", "output": [ "b" ] }, { "id": "task1420-c0d940d7a13e46759faec8eaa18f2337", "input": "Problem: the average of first 14 even numbers is ? \nOptions: a ) 10 , b ) 11 , c ) 12 , d ) 13 , e ) 15", "output": [ "e" ] }, { "id": "task1420-04ca455cb43e49858c7084a5734a1322", "input": "Problem: the least number , which when divided by 48,60 , 72,108 and 140 leaves 38,50 , 62,98 and 130 as remainder respectively , is : \nOptions: a ) 11115 , b ) 15110 , c ) 15120 , d ) 15210 , e ) 12510", "output": [ "b" ] }, { "id": "task1420-f4f237f97e724a40af5b6d134225fa1f", "input": "Problem: the average marks of a class of 30 students is 40 and that of another class of 50 students is 70 . find the average marks of all the students ? \nOptions: a ) 52.5 , b ) 52.9 , c ) 52.1 , d ) 58.75 , e ) 42.5", "output": [ "d" ] }, { "id": "task1420-c2490c2017c54e868528611acac6b854", "input": "Problem: 117 x 217 + 83 x 83 = ? \nOptions: a ) 79698 , b ) 20578 , c ) 80698 , d ) 81268 , e ) none of them", "output": [ "b" ] }, { "id": "task1420-6c751944a1074e0c87d88dfdf7fc2b67", "input": "Problem: if m and n are positive integers and m = 15 n - 1 , what is the remainder when m is divided by 5 ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4", "output": [ "e" ] }, { "id": "task1420-fc2be1146a9d487ba75cf04a90ee13bb", "input": "Problem: in a certain diving competition , 5 judges score each dive on a scale from 1 to 10 . the point value of the dive is obtained by dropping the highest score and the lowest score and multiplying the sum of the remaining scores by the degree of difficulty . if a dive with a degree of difficulty of 3.2 received scores of 7.5 , 7.8 , 9.0 , 6.0 , and 8.5 , what was the point value of the dive ? \nOptions: a ) 68.8 , b ) 73.6 , c ) 75.2 , d ) 76.16 , e ) 81.6", "output": [ "d" ] }, { "id": "task1420-c75079c7c59f444eb7b63c847bfee513", "input": "Problem: marcella has 24 pairs of shoes . if she loses 9 individual shoes , what is the greatest number of matching pairs she could have left ? \nOptions: a ) 21 , b ) 20 , c ) 19 , d ) 16 , e ) 15", "output": [ "c" ] }, { "id": "task1420-250edf3a3709464a93c36bde386f4c0c", "input": "Problem: all the milk in container a which was filled to its brim was poured into two containers b and c . the quantity of milk in container b was 62.5 % less than the capacity of container a . if 156 liters was now transferred from c to b , then both the containers would have equal quantities of milk . what was the initial quantity of milk in container a ? \nOptions: a ) 1248 , b ) 1723 , c ) 1129 , d ) 2613 , e ) 1372", "output": [ "a" ] }, { "id": "task1420-8835a8095d494b3784fd4d014b296f75", "input": "Problem: if p / q = 3 / 7 , then 2 p + q = ? \nOptions: a ) 12 , b ) 14 , c ) 13 , d ) 15 , e ) 16", "output": [ "c" ] }, { "id": "task1420-c29dc6caf2f14374bc2da904aeb99187", "input": "Problem: xy = 1 then what is ( 4 ^ ( x + y ) ^ 2 ) / ( 4 ^ ( x - y ) ^ 2 ) \nOptions: a ) 2 , b ) 4 , c ) 8 , d ) 256 , e ) 32", "output": [ "d" ] }, { "id": "task1420-9dcef73f37b14c3091d76a0ba3cf2253", "input": "Problem: the cost to park a car in a certain parking garage is $ 15.00 for up to 2 hours of parking and $ 1.75 for each hour in excess of 2 hours . what is the average ( arithmetic mean ) cost per hour to park a car in the parking garage for 9 hours ? \nOptions: a ) $ 1.09 , b ) $ 1.67 , c ) $ 2.25 , d ) $ 2.37 , e ) $ 3.03", "output": [ "e" ] }, { "id": "task1420-40048e7bf30546dfbc472d55287a2672", "input": "Problem: in a maths test , students were asked to find 5 / 16 of a certain number . one of the students by mistake found 5 / 6 th of that number and his answer was 100 more than the correct answer . find the number . \nOptions: a ) 192 , b ) 280 , c ) 384 , d ) 400 , e ) 500", "output": [ "a" ] }, { "id": "task1420-d458a14f5086484ead77e77247bdf47f", "input": "Problem: a millionaire bought a job lot of hats 1 / 4 of which were brown . the millionaire sold 2 / 3 of the hats including 4 / 5 of the brown hats . what fraction of the unsold hats were brown . \nOptions: a ) 1 / 60 , b ) 1 / 15 , c ) 3 / 20 , d ) 3 / 5 , e ) 3 / 4", "output": [ "c" ] }, { "id": "task1420-aca5400c25bd4d11be8ed073cab7a53e", "input": "Problem: find the least number which when divided by 5 , 6,7 , and 8 leaves a remainder 3 , but when divided by 9 leaves no remainder \nOptions: a ) 1683 , b ) 1684 , c ) 1685 , d ) 1582 , e ) 1584", "output": [ "a" ] }, { "id": "task1420-f07f65c3e91e47888bc237a87b7c7b18", "input": "Problem: what should be the least number to be added to the 51234 number to make it divisible by 9 ? \nOptions: a ) 6 , b ) 4 , c ) 3 , d ) 5 , e ) 2", "output": [ "c" ] }, { "id": "task1420-135692bbcf854dc99c43c1c0f8644fbd", "input": "Problem: of the 200 employees at company x , 80 are full - time , and 150 have worked at company x for at least a year . there are 20 employees at company x who aren ’ t full - time and haven ’ t worked at company x for at least a year . how many full - time employees of company x have worked at the company for at least a year ? \nOptions: a ) 20 , b ) 30 , c ) 50 , d ) 80 , e ) 100", "output": [ "c" ] }, { "id": "task1420-21c8e4513fd04528b07b9a8334010594", "input": "Problem: find large number from below question the difference of two numbers is 1355 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder \nOptions: a ) 1235 , b ) 1345 , c ) 1678 , d ) 1767 , e ) 1623", "output": [ "e" ] }, { "id": "task1420-e8092c8dc6294cf8a92e03c7a7f89ff5", "input": "Problem: the average of first 10 even numbers is ? \nOptions: a ) 19 , b ) 18 , c ) 16 , d ) 11 , e ) 17", "output": [ "d" ] }, { "id": "task1420-d289831c9c1046b5b846987aa147cfcb", "input": "Problem: of the total amount that jill spent on a shopping trip , excluding taxes , she spent 60 percent on clothing , 20 percent on food , and 20 percent on other items . if jill paid a 10 percent tax on the clothing , no tax on the food , and an 10 percent tax on all other items , then the total tax that she paid was what percent of the total amount that she spent , excluding taxes ? \nOptions: a ) 10 , b ) 20 , c ) 30 , d ) 25 , e ) 15", "output": [ "a" ] }, { "id": "task1420-0746a248fc5c43a0b74528c9d45dbdff", "input": "Problem: the scoring system in a certain football competition goes as follows : 3 points for victory , 1 point for a draw , and 0 points for defeat . each team plays 20 matches . if a team scored 14 points after 5 games , what is the least number of the remaining matches it has to win to reach the 40 - point mark by the end of the tournament ? \nOptions: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10", "output": [ "a" ] }, { "id": "task1420-d3eb78db67084e218bc540fb066c1289", "input": "Problem: jim ’ s taxi service charges an initial fee of $ 2.25 at the beginning of a trip and an additional charge of $ 0.15 for each 2 / 5 of a mile traveled . what is the total charge for a trip of 3.6 miles ? \nOptions: a ) $ 3.15 , b ) $ 4.45 , c ) $ 3.60 , d ) $ 5.05 , e ) $ 5.40", "output": [ "c" ] }, { "id": "task1420-34e5f6760c954ba39f8ff3248d366307", "input": "Problem: a mixture contains milk and water in the ratio 5 : 2 . on adding 10 liters of water , the ratio of milk to water becomes 5 : 3 . the quantity of milk in the original mixture is ? \nOptions: a ) 30 , b ) 40 , c ) 50 , d ) 60 , e ) 70", "output": [ "c" ] }, { "id": "task1420-3dc3365a5ec044df97de535c58a8cf4a", "input": "Problem: claire has a total of 86 pets consisting of gerbils and hamsters only . one - quarter of the gerbils are male , and one - third of the hamsters are male . if there are 25 males altogether , how many gerbils does claire have ? \nOptions: a ) 39 , b ) 50 , c ) 60 , d ) 54 , e ) 60", "output": [ "d" ] }, { "id": "task1420-5a9411b9af4b42388614268cc2726743", "input": "Problem: if the average of w , b , c , 14 and 15 is 12 . what is the average value of w , b , c and 29 \nOptions: a ) 12 , b ) 13 , c ) 14 , d ) 15 , e ) 16", "output": [ "d" ] }, { "id": "task1420-927b4a66ef6d457986fb50d53ef63287", "input": "Problem: there are 3 prizes to be distributed among 10 students . if no students gets more than one prize , then this can be done in ? \nOptions: a ) 10 , b ) 45 , c ) 95 , d ) 120 , e ) none of these", "output": [ "d" ] }, { "id": "task1420-6a79b61ea7b047d2a5dcda2df984aa3b", "input": "Problem: if c and t are positive integers , ct + c + t can not be \nOptions: a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 9", "output": [ "b" ] }, { "id": "task1420-8518c5e4df4a432d9fc639db93f5f4ba", "input": "Problem: alok ordered 16 chapatis , 5 plates of rice , 7 plates of mixed vegetable and 6 ice - cream cups . the cost of each chapati is rs . 6 , that of each plate of rice is rs . 45 and that of mixed vegetable is rs . 70 . the amount that alok paid the cashier was rs . 1015 . find the cost of each ice - cream cup ? \nOptions: a ) 34 , b ) 76 , c ) 29 , d ) 12 , e ) 20", "output": [ "a" ] }, { "id": "task1420-74d82b9043324846a44193b09c723114", "input": "Problem: the grade point average of the entire class is 84 . if the average of one fourth of the class is 96 , what is the average of the rest of the class ? \nOptions: a ) 76 , b ) 77 , c ) 78 , d ) 79 , e ) 80", "output": [ "e" ] }, { "id": "task1420-0c8758292fe1463ca1dbed56087c0685", "input": "Problem: of the 180 people at a party , 70 were women , and 30 women tried the appetizer . if 50 people did not try the appetizer , what is the total number of men who tried the appetizer ? \nOptions: a ) 40 , b ) 50 , c ) 60 , d ) 70 , e ) 100", "output": [ "e" ] }, { "id": "task1420-52ef3a07b2774f198112e645aaf1bc2e", "input": "Problem: in a forest 100 deer were caught , tagged with electronic markers , then released . a week later , 50 deer were captured in the same forest . of these 50 deer , it was found that 5 had been tagged with the electronic markers . if the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest , and if no deer had either left or entered the forest over the preceding week , what is the approximate number of deer in the forest ? \nOptions: a ) 150 , b ) 750 , c ) 1,250 , d ) 1,000 , e ) 2,500", "output": [ "d" ] }, { "id": "task1420-90c287eb60574502b9164f6464efb4a4", "input": "Problem: 1 , 1 , 3 , 9 , 5 , 25 , 7 , 49 _ , 81 \nOptions: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10", "output": [ "d" ] }, { "id": "task1420-d47e0abbcf224ed680e3850ea73aabfa", "input": "Problem: if the product of 2 integers is negative , at most how many of the integers can be negative ? \nOptions: a ) 1 , b ) 3 , c ) 4 , d ) 5 , e ) 6", "output": [ "a" ] }, { "id": "task1420-980fceba90a94e80ad9f979f1220449a", "input": "Problem: the student manager of the university theater estimated that for every 6 movie tickets sold on valentine ' s weekend , the theater will sell 3 packs of grain crackers at $ 2.25 each , 4 bottles of a beverage at $ 1.50 each , and 4 chocolate bars at $ 1.00 each . find the approximate average ( arithmetic mean ) amount of estimated snack sales per movie ticket sold . \nOptions: a ) $ 1.40 , b ) $ 1.58 , c ) $ 2.00 , d ) $ 2.64 , e ) $ 2.79", "output": [ "e" ] }, { "id": "task1420-eba9d5420a2d401dadd78cf4ad45944a", "input": "Problem: the average weight of 8 person ' s increases by 2.5 kg when a new person comes in place of one of them weighing 66 kg . what might be the weight of the new person ? \nOptions: a ) 56 kg , b ) 90 kg , c ) 86 kg , d ) data inadequate , e ) none of these", "output": [ "c" ] }, { "id": "task1420-eae0bb5f7c8543048b71bd20b281291f", "input": "Problem: what is the least possible value of x ^ 2 - 15 where x is a positive number . \nOptions: a ) - 15 , b ) - 14 , c ) - 13 , d ) - 12 , e ) - 11", "output": [ "b" ] }, { "id": "task1420-b52db735d2824a9eb7c00276729eb781", "input": "Problem: village a ’ s population is 300 greater than village b ' s population . if village b ’ s population were reduced by 600 people , then village a ’ s population would be 4 times as large as village b ' s population . what is village b ' s current population ? \nOptions: a ) 900 , b ) 1000 , c ) 1100 , d ) 1200 , e ) 1300", "output": [ "a" ] }, { "id": "task1420-e63b71231899499db397bdaa65d7a854", "input": "Problem: what is the hcf of 2 / 3 , 5 / 9 and 6 / 5 \nOptions: a ) 1 / 45 , b ) 2 / 45 , c ) 4 / 15 , d ) 8 / 45 , e ) 9 / 45", "output": [ "a" ] }, { "id": "task1420-2386a9b5029a41f998fccfc31427effb", "input": "Problem: when positive integer x is divided by positive integer y , the remainder is 9 . if x / y = 96.15 , what is the value of y ? \nOptions: a ) 96 , b ) 60 , c ) 48 , d ) 25 , e ) 12", "output": [ "b" ] }, { "id": "task1420-131125d283ea42bc903dfe34171e74de", "input": "Problem: in a 6 - sided polygon xqrstv ∠ x measures 48 ° less than the average ( arithmetic mean ) of the remaining 5 angles . what does ∠ x equal to , in degrees ? \nOptions: a ) 72 , b ) 80 , c ) 88 , d ) 96 , e ) 104", "output": [ "b" ] }, { "id": "task1420-5f18561eefbe41e8abea0169069e2a03", "input": "Problem: by approximately what percent is x greater than 2 / 5 if ( 3 / 5 ) ( x ) = 1 ? \nOptions: a ) 723 % , b ) 156 % , c ) 316 % , d ) 37 % , e ) 29 %", "output": [ "c" ] }, { "id": "task1420-7b74729a4fe74f88963f227347d4ed27", "input": "Problem: find the value for x from below equation : x / 3 = - 4 ? \nOptions: a ) - 12 , b ) 1 , c ) - 2 , d ) - 3 , e ) 4", "output": [ "a" ] }, { "id": "task1420-16c6ad0295f6478583d60572bad2f3f9", "input": "Problem: andrew travelling to 7 cities . gasoline prices varied from city to city . $ 1.75 , $ 1.61 , $ 1.79 , $ 2.11 , $ 1.96 , $ 2.09 , $ 1.85 . what is the median gasoline price ? \nOptions: a ) $ 1 , b ) $ 1.85 , c ) $ 1.92 , d ) $ 2.13 , e ) $ 2.15", "output": [ "b" ] }, { "id": "task1420-f3ba1d6f822847099542f3e6dd521288", "input": "Problem: the sum of two numbers is 56 , and one of them is 12 more than the other . what are the two numbers ? \nOptions: a ) 36 - 48 , b ) 22 - 34 , c ) 60 - 24 , d ) 42 - 42 , e ) 21 - 63", "output": [ "b" ] }, { "id": "task1420-c4bc7b8ff89b46ccb1092917ff05e782", "input": "Problem: 2 , 6 , 12 , 20 , 30 , 42 , 56 , ( . . . ) \nOptions: a ) 62 , b ) 74 , c ) 72 , d ) 81 , e ) 58", "output": [ "c" ] }, { "id": "task1420-e15fb5cd2d914bdbb9949905aa7520fd", "input": "Problem: a small pool filled only with water will require an additional 300 gallons of water in order to be filled to 75 % of its capacity . if pumping in these additional 300 gallons of water will increase the amount of water in the pool by 30 % , what is the total capacity of the pool in gallons ? \nOptions: a ) 1000 , b ) 1250 , c ) 1733.33 , d ) 1800 , e ) 2025", "output": [ "c" ] }, { "id": "task1420-71164cf4180e4e17bd4b80a50e34f91f", "input": "Problem: what is the remainder of q = 3 ^ 19 when divided by 10 ? \nOptions: a ) 0 , b ) 1 , c ) 5 , d ) 7 , e ) 9", "output": [ "d" ] }, { "id": "task1420-f7234f3671b0493296cead4ef81536e5", "input": "Problem: in a class of 20 students , 2 students did not borrow any books from the library , 8 students each borrowed 1 book , 3 students each borrowed 2 books , and the rest borrowed at least 3 books . if the average number of books per student was 2 , what is the maximum number of books any single student could have borrowed ? \nOptions: a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 12", "output": [ "a" ] }, { "id": "task1420-0a620a1c9cbe4f01a2f240c4869d17a0", "input": "Problem: when positive integer x is divided by positive integer y , the result is 59.32 . what is the sum r of all possible 2 - digit remainders for x / y ? \nOptions: a ) 560 , b ) 616 , c ) 672 , d ) 728 , e ) 784", "output": [ "b" ] }, { "id": "task1420-cb9c1c4009994d6da52270db14067aab", "input": "Problem: find the ones digit of 73 ^ 356 \nOptions: a ) 1 , b ) 5 , c ) 6 , d ) 7 , e ) 9", "output": [ "a" ] }, { "id": "task1420-61dc7e6bad0040d3a0265ed02c04b64f", "input": "Problem: if a * b * c = ( √ ( a + 2 ) ( b + 3 ) ) / ( c + 1 ) , find the value of 6 * 15 * 3 . \nOptions: a ) 8 , b ) 5 , c ) 11 , d ) 3 , e ) 4", "output": [ "d" ] }, { "id": "task1420-8faf06d37f1c4ad99a971ad3df61cd06", "input": "Problem: when positive integer n is divided by 5 , the remainder is 1 . when n is divided by 7 , the remainder is 3 . what is the smallest positive integer k such that k + n is a multiple of 36 . \nOptions: a ) 5 , b ) 4 , c ) 12 , d ) 32 , e ) 35", "output": [ "a" ] }, { "id": "task1420-cff8e616baa94a02a97725296eb4e7fc", "input": "Problem: the average age of a class of 20 students is 21 years . the average increased by 1 when the teacher ' s age also included . what is the age of the teacher ? \nOptions: a ) 40 , b ) 41 , c ) 42 , d ) 45 , e ) 43", "output": [ "c" ] }, { "id": "task1420-9b20a76e436a48c1ba03c8d27e883184", "input": "Problem: the sum of all the digits of the integers from 18 to 21 inclusive is 24 ( 1 + 8 + 1 + 9 + 2 + 0 + 2 + 1 = 24 ) . what is the sum t of all the digits of the integers from 0 to 99 inclusive ? \nOptions: a ) 450 , b ) 810 , c ) 900 , d ) 1000 , e ) 1100", "output": [ "c" ] }, { "id": "task1420-50dcd77b2a9843f685685f9a29d837b2", "input": "Problem: the average age of a group of 10 students is 14 years . if 5 more students join the group , the average age rises by 1 year . the average age of the new students is : \nOptions: a ) 22 , b ) 38 , c ) 11 , d ) 17 , e ) 91", "output": [ "d" ] }, { "id": "task1420-71bccb984c744d81b154f1d27caf94f5", "input": "Problem: in a certain company , the ratio of the number of managers to the number of non - managers in any department must always be greater than 7 : 37 . in the company , what is the maximum number of non - managers in a department that has 11 managers ? \nOptions: a ) 56 , b ) 57 , c ) 58 , d ) 59 , e ) 60", "output": [ "c" ] }, { "id": "task1420-21eb44d970304a9da37c3f63eaa1031c", "input": "Problem: ( 128.5 x 25 ) + ( 13.8 x 50 ) = ? x 50 \nOptions: a ) 78.05 , b ) 556.02 , c ) 574.36 , d ) 585.64 , e ) 595.46", "output": [ "a" ] }, { "id": "task1420-438ed86d03ab43fa9cd73afdafe66a9e", "input": "Problem: a sum of rs . 100 is lent at simple interest of 3 % p . a . for the first month , 9 % p . a . for the second month , 27 % p . a . for the third month and so on . what is the total amount of interest earned at the end of the year approximately \nOptions: a ) rs . 797160 , b ) rs . 791160 , c ) rs . 65930 , d ) rs . 66430 , e ) rs . 67430", "output": [ "d" ] }, { "id": "task1420-d873fd97a10e4bdd9d941791dfc744ff", "input": "Problem: a vendor sells 60 percent of the apples he had and throws away 40 percent of the remainder . the next day , the vendor sells 50 percent of the remaining apples and throws away the rest . in total , what percent of his apples does the vendor throw away ? \nOptions: a ) 24 , b ) 26 , c ) 28 , d ) 30 , e ) 32", "output": [ "c" ] }, { "id": "task1420-ceb0e482b41d4f168c0796d86804eaa6", "input": "Problem: there are some birds in cage , 1 / 3 rd fly away . then 2 / 5 th of the remaining left the cage , then 2 / 3 rd of the remaining left the cage . at last 8 were remaining . how many birds were in total ? \nOptions: a ) 60 , b ) 27 , c ) 28 , d ) 26 , e ) 91", "output": [ "a" ] }, { "id": "task1420-7cf6b85cbc3343ba8beaa929b80b87a7", "input": "Problem: if a ' s height is 45 % less than that of b , how much percent b ' s height is more than that of a ? \nOptions: a ) 66.66 % , b ) 81.81 % , c ) 66.766 % , d ) 86.66 % , e ) 66.65 %", "output": [ "b" ] }, { "id": "task1420-f6d940ab0cb04a72b388071d9a1eb713", "input": "Problem: the average of 50 numbers is 38 . if two numbers 45 and 55 are discarded , the average of the remaining set of numbers is \nOptions: a ) 38.5 , b ) 37.5 , c ) 37.0 , d ) 36.5 , e ) none of these", "output": [ "b" ] }, { "id": "task1420-2c6cc85425ed46a1ba9a2e0b4d49d91f", "input": "Problem: how many positive integers less than 100 are there such that they are multiples of 13 or multiples of 12 but not both ? \nOptions: a ) 15 , b ) 16 , c ) 17 , d ) 18 , e ) 19", "output": [ "a" ] }, { "id": "task1420-0c5d0f9bf38f4a219d5c762af17c7e24", "input": "Problem: 16.02 ã — 0.1 = ? \nOptions: a ) 0.1602 , b ) 0.001602 , c ) 1.6021 , d ) 0.01602 , e ) none of these", "output": [ "c" ] }, { "id": "task1420-4b0888b557a340dd989a93262d3327ac", "input": "Problem: the sum of the present age of henry and jill is 48 . what is their present ages if 9 years ago henry was twice the age of jill ? \nOptions: a ) and 27 , b ) and 24 , c ) and 22 , d ) and 29 , e ) of these", "output": [ "d" ] }, { "id": "task1420-3e52981345dc40efa3bcb61e25cc1c31", "input": "Problem: in smithtown , the ratio of right - handed people to left - handed people is 3 to 1 and the ratio of men to women is 3 to 2 . if the number of right - handed men is maximized , then what q percent of all the people in smithtown are left - handed women ? \nOptions: a ) 50 % , b ) 40 % , c ) 25 % , d ) 20 % , e ) 10 %", "output": [ "c" ] }, { "id": "task1420-72441741e21e4caab94c5c0a120b64de", "input": "Problem: an optometrist charges $ 150 per pair for soft contact lenses and $ 85 per pair for hard contact lenses . last week she sold 5 more pairs of soft lenses than hard lenses . if her total sales for pairs of contact lenses last week were $ 1455 , what was the total number of pairs of contact lenses that she sold ? \nOptions: a ) 11 , b ) 13 , c ) 15 , d ) 17 , e ) 19", "output": [ "a" ] }, { "id": "task1420-88ca2370c9bc4a6388a5ae19735db51b", "input": "Problem: find the value of ( 20 c 18 ) * ( 20 c 20 ) \nOptions: a ) 400 , b ) 380 , c ) 360 , d ) 350 , e ) 330", "output": [ "b" ] }, { "id": "task1420-eb7780da85924203b41ded06e8c02722", "input": "Problem: of the 13 employees in a certain department , 1 has an annual salary of 38,000 , 2 have an annual salary of 45,700 each , 2 have an annual salary of 42,500 each , 3 have an annual salary of 40,000 each and 5 have an annual salary of 48,500 each . what is the median annual salary for the 13 employees ? \nOptions: a ) 38,000 , b ) 40,000 , c ) 42,500 , d ) 45,700 , e ) 48,500", "output": [ "d" ] }, { "id": "task1420-da953c3480dc45edb0b8a3288f112b8c", "input": "Problem: the average age of 39 students in a group is 14 years . when teacher ' s age is included to it , the average increases by one . what is the teacher ' s age in years ? \nOptions: a ) 35 years , b ) 45 years , c ) 51 years , d ) 54 years , e ) none of these", "output": [ "d" ] }, { "id": "task1420-3a1465df0e354ea7add73cec080cd939", "input": "Problem: bookman purchased 55 copies of a new book released recently , 10 of which are hardback and sold for $ 20 each , and rest are paperback and sold for $ 10 each . if 14 copies were sold and the total value of the remaining books was 360 , how many paperback copies were sold ? \nOptions: a ) 8 , b ) 10 , c ) 12 , d ) 19 , e ) 16", "output": [ "d" ] }, { "id": "task1420-8a01a1a584ad4f83bdc8ef1e2513cff8", "input": "Problem: 10 ^ ( 600 ) ã · 10 ^ ( 580 ) = ? \nOptions: a ) 10 ^ 10 , b ) 10 ^ 20 , c ) 10 ^ 22 , d ) 10 ^ 23 , e ) 10 ^ 24", "output": [ "b" ] }, { "id": "task1420-29d6e879ae974d5e853a61c69ecebe84", "input": "Problem: on a certain planet where people usually tend to live for more than a century , the ratio of present ages of father and son is 7 : 4 . 10 years later , the ratio of their ages will be 5 : 3 . what is the sum of their present ages ? \nOptions: a ) 220 , b ) 200 , c ) 140 , d ) 80 , e ) 60", "output": [ "a" ] }, { "id": "task1420-fe2512e0ded14777aeeceeeaaa49a3e5", "input": "Problem: what is the least number which should be added to 5432 so that the sum is exactly divisible by 5 , 6 , 4 , and 3 ? \nOptions: a ) 16 , b ) 22 , c ) 28 , d ) 34 , e ) 40", "output": [ "c" ] }, { "id": "task1420-7fae0871113f4517be402a948087353f", "input": "Problem: the average of first 32 natural numbers is ? \nOptions: a ) 16.5 , b ) 17.5 , c ) 18.4 , d ) 15.4 , e ) 15.1", "output": [ "a" ] }, { "id": "task1420-f5696126017840139c8959b0a046ef91", "input": "Problem: what least number must be subtracted from 42739 so that remaining no . is divisible by 15 \nOptions: a ) 3 , b ) 4 , c ) 6 , d ) 8 , e ) 9", "output": [ "b" ] }, { "id": "task1420-07024e7364024d2b8946da04d713be40", "input": "Problem: lisa and robert have taken the same number of photos on their school trip . lisa has taken 3 times as many photos as claire and robert has taken 12 more photos than claire . how many photos has claire taken ? \nOptions: a ) 6 , b ) 8 , c ) 10 , d ) 12 , e ) 14", "output": [ "a" ] }, { "id": "task1420-2e94566fcb6c48758d110ba97149c8cc", "input": "Problem: what is the least number which should be added to 2782 so that the sum is exactly divisible by 5 , 6 , 4 , and 3 ? \nOptions: a ) 26 , b ) 32 , c ) 38 , d ) 46 , e ) 52", "output": [ "c" ] }, { "id": "task1420-590fbaef7f194f2ebbed9a7071040f35", "input": "Problem: the average salary of all the workers in a workshop is $ 1000 . the average salary of 5 technicians is $ 5000 and the average salary of the rest is $ 500 . the total number of workers in the shop is ? \nOptions: a ) 25 , b ) 20 , c ) 15 , d ) 30 , e ) 18", "output": [ "a" ] }, { "id": "task1420-e989ecf8250b4d4ba4c30470ea108f88", "input": "Problem: a 20 litre mixture of milk and water contains milk and water in the ratio 3 : 2 . 10 litres of the mixture is removed and replaced with pure milk and the operation is repeated once more . at the end of the two removal and replacement , what is the ratio q of milk and water in the resultant mixture ? \nOptions: a ) 17 : 3 , b ) 9 : 1 , c ) 3 : 17 , d ) 5 : 3 , e ) 11 : 2", "output": [ "b" ] }, { "id": "task1420-317213c39bdc47eeb99cff6e83f8d815", "input": "Problem: in arun ' s opinion , his weight is greater than 64 kg but leas than 72 kg . his brother does not agree with arun and he thinks that arun ' s weight is greater than 60 kg but less than 70 kg . his mother ' s view is that his weight can not be greater than 67 kg . if all of them are correct in their estimation , what is the average of diferent probable weights of arun ? \nOptions: a ) 86.5 kg , b ) 66.5 kg , c ) 46.5 kg , d ) 65.5 kg , e ) 16.5 kg", "output": [ "d" ] }, { "id": "task1420-c1cf4188567d448892513172d0665924", "input": "Problem: what least number must be subtracted from 9679 so that the remaining number is divisible by 15 ? \nOptions: a ) 3 , b ) 1 , c ) 16 , d ) 4 , e ) 15", "output": [ "d" ] }, { "id": "task1420-0dbe62d9d49b4366a63a97ee619b851c", "input": "Problem: a house wife saved $ 2.50 in buying an item on sale . if she spent $ 25 for the item , approximately how much percent she saved in the transaction ? \nOptions: a ) 8 % , b ) 9 % , c ) 10 % , d ) 11 % , e ) 12 %", "output": [ "b" ] }, { "id": "task1420-4a951506247b421885af64c80e238e1a", "input": "Problem: cereal a is 9 % sugar by weight , whereas healthier but less delicious cereal b is 2 % sugar by weight . to make a delicious and healthy mixture that is 4 % sugar , what should be the ratio of cereal a to cereal b , by weight ? \nOptions: a ) 2 : 9 , b ) 2 : 5 , c ) 1 : 6 , d ) 1 : 4 , e ) 1 : 3", "output": [ "b" ] }, { "id": "task1420-a3d1625571564a3aa4d8a7b8ce547f2f", "input": "Problem: the average age of 30 students in a class is 15 years . if the age of teacher is also included , the average becomes 16 years , find the age of the teacher . \nOptions: a ) 46 , b ) 55 , c ) 43 , d ) 39 , e ) 54", "output": [ "a" ] }, { "id": "task1420-0cd70e19097e4ab2adf9c91b9e148b84", "input": "Problem: company z has 53 employees . if the number of employees having birthdays on wednesday is more than the number of employees having birthdays on any other day of the week , each of which have same number of birth - days , what is the minimum number of employees having birthdays on wednesday . \nOptions: a ) 6 , b ) 7 , c ) 8 , d ) 11 , e ) 12", "output": [ "d" ] }, { "id": "task1420-6fe4c5c3861242ec8909eac0a7c68d89", "input": "Problem: if - 3 x + 5 y = 48 and 3 x - 2 y = 6 , what is the product of x and y ? \nOptions: a ) 252 , b ) 428 , c ) 464 . , d ) 200 , e ) 642", "output": [ "a" ] }, { "id": "task1420-5dc9f7d56ffd466394858ce1b479aa3a", "input": "Problem: for each month of a given year except december , a worker earned the same monthly salary and donated one - tenth of that salary to charity . in december , the worker earned n times his usual monthly salary and donated one - fifth of his earnings to charity . if the worker ' s charitable contributions totaled one - seventh of his earnings for the entire year , what is the value of n ? \nOptions: a ) 31 / 4 , b ) 33 / 4 , c ) 29 / 4 , d ) 27 / 4 , e ) 25 / 4", "output": [ "b" ] }, { "id": "task1420-c6adbe56f4d94aeca9181969a61e5312", "input": "Problem: pradeep has to obtain 20 % of the total marks to pass . he got 160 marks and failed by 25 marks . the maximum marks are \nOptions: a ) 1925 , b ) 600 , c ) 925 , d ) 1325 , e ) 900", "output": [ "c" ] }, { "id": "task1420-f3078a9e343f496685ee8cdffaa84dd3", "input": "Problem: the total marks obtained by a student in physics , chemistry and mathematics is 150 more than the marks obtained by him in physics . what is the average mark obtained by him in chemistry and mathematics ? \nOptions: a ) 75 , b ) 66 , c ) 55 , d ) 44 , e ) 12", "output": [ "a" ] }, { "id": "task1420-181935ce88854cbdacd9ec7e51b25600", "input": "Problem: during the first two weeks of june , the total rainfall in springdale was 40 inches . if the rainfall during the second week was 1.5 times the rainfall during the first week , what was the rainfall in inches during the second week of june ? \nOptions: a ) 15 , b ) 18 , c ) 21 , d ) 24 , e ) 27", "output": [ "d" ] }, { "id": "task1420-1635c64365cd40fe933c6d8d02f4d53c", "input": "Problem: in a renowned city , the average birth rate is 6 people every two seconds and the death rate is 3 people every two seconds . estimate the size of the population net increase that occurs in one day . \nOptions: a ) 129,500 , b ) 129,600 , c ) 129,700 , d ) 129,800 , e ) 129,900", "output": [ "b" ] }, { "id": "task1420-d9d11dda8868475599777631e5d69f55", "input": "Problem: if there is an equal probability of a child being born a boy or a girl , what is the probability that a couple who have 3 children have two children of the same sex and one of the opposite sex ? \nOptions: a ) 1 / 3 , b ) 2 / 3 , c ) 1 / 4 , d ) 3 / 4 , e ) 3 / 5", "output": [ "d" ] }, { "id": "task1420-128cb91e98b642c9b71b1a0aa6ac333d", "input": "Problem: sum of two numbers is 25 . two times of the first exceeds by 5 from the three times of the other . then the numbers will be ? \nOptions: a ) a ) 5 , b ) b ) 9 , c ) c ) 11 , d ) d ) 13 , e ) e ) 15", "output": [ "b" ] }, { "id": "task1420-359be07b47074ef69eb5a91b427b9df7", "input": "Problem: a , b and c are employed to do apiece of work for rs . 529 . a and c are supposed to finish 19 / 23 of the work together . how much shall be paid to b ? \nOptions: a ) 10 , b ) 11 , c ) 12 , d ) 14 , e ) 16", "output": [ "c" ] }, { "id": "task1420-835c0c36ba194479ad5fdfea5a97f42d", "input": "Problem: thabo owns exactly 180 books , and each book is either paperback fiction , paperback nonfiction , or hardcover nonfiction . if he owns 20 more paperback nonfiction books than hardcover nonfiction books , and twice as many paperback fiction books as paperback nonfiction books , how many hardcover books nonfiction books does thabo own ? \nOptions: a ) 10 , b ) 20 , c ) 30 , d ) 40 , e ) 50", "output": [ "c" ] }, { "id": "task1420-d9907318796146af9ddc3930745147d5", "input": "Problem: the sum of the non - prime numbers between 60 and 70 , non - inclusive , is \nOptions: a ) 387 , b ) 429 , c ) 457 , d ) 499 , e ) 536", "output": [ "c" ] }, { "id": "task1420-ffb5e31598a24d8893dcf981c6f07b2b", "input": "Problem: instead of multiplying a number by 5 , the number is divided by 5 . what is the percentage of error obtained ? \nOptions: a ) 98 % , b ) 97 % , c ) 96 % , d ) 99 % , e ) 95 %", "output": [ "c" ] }, { "id": "task1420-84df74f0f038486e9a1db4024d801477", "input": "Problem: 5 + 5 \nOptions: a ) 9 , b ) 12 , c ) 20 , d ) 10 , e ) 0", "output": [ "d" ] }, { "id": "task1420-e9caa3fb6e674ca197dbb90072c4e4c5", "input": "Problem: what is the value of ( p + q ) / ( p - q ) if p / q is 6 ? \nOptions: a ) 4 / 3 , b ) 2 / 3 , c ) 2 / 6 , d ) 7 / 5 , e ) 8 / 7", "output": [ "d" ] }, { "id": "task1420-5271d52cc4a14c888adbb5b3df19b65f", "input": "Problem: list k consists of 10 consecutive integers . if - 4 is the least integer in list k , what is the range of the positive integers in list k ? \nOptions: a ) 5 , b ) 6 , c ) 7 , d ) 11 , e ) 4", "output": [ "e" ] }, { "id": "task1420-e786fe89c5cc49a4b8d0497abfc5a988", "input": "Problem: entry fee in an examination was re . 1 . later , this was reduced by 25 % which increased the sale by 20 % . the percentage increase in the number of visitors is \nOptions: a ) 60 , b ) 50 , c ) 66 , d ) 54 , e ) none", "output": [ "a" ] }, { "id": "task1420-1a9ccbcaaa984041a3162e53fec533dd", "input": "Problem: if an average hard drive had a capacity of 0.6 tb in 2000 , and average hard drive capacities double every 5 years , what will be the average hard drive capacity in 2050 ? \nOptions: a ) 256 , b ) 512 , c ) 768 , d ) 6144 , e ) 1536", "output": [ "d" ] }, { "id": "task1420-b45d7bee53fb46aaa1cb91808f44ae30", "input": "Problem: the mean of 30 values was 140 . it was detected on rechecking that one value 145 was wrongly copied as 135 for the computation of the mean . find the correct mean . \nOptions: a ) 151 , b ) 140.33 , c ) 152 , d ) 148 , e ) none of the above", "output": [ "b" ] }, { "id": "task1420-6afa3987ec474d51b9d5129b06b62b40", "input": "Problem: marketing executives for a certain chewing gum company projected a 20 percent increase in revenue this year over that of last year , but revenue this year actually decreased by 35 % . what percent of the projected revenue was the actual revenue ? \nOptions: a ) 54.2 % , b ) 58 % , c ) 62.5 % , d ) 64 % , e ) 75 %", "output": [ "a" ] }, { "id": "task1420-17cb8476e721490284913b777d150bd7", "input": "Problem: for what values of k will the pair of equations 4 ( 3 x + 4 y ) = 48 and kx + 12 y = 30 does not have a unique solution ? \nOptions: a ) 12 , b ) 9 , c ) 3 , d ) 7.5 , e ) 2.5", "output": [ "b" ] }, { "id": "task1420-c6736f1c144a4df1ab62fe560f54eb88", "input": "Problem: rahim bought 65 books for rs . 1160 from one shop and 50 books for rs . 920 from another . what is the average price he paid per book ? \nOptions: a ) rs . 18.28 , b ) rs . 20 , c ) rs . 18.08 , d ) rs . 28.08 , e ) rs . 38.08", "output": [ "c" ] }, { "id": "task1420-620937d1a4fe454a93840d5dbdd775ba", "input": "Problem: 1 = 5,2 = 4,3 = 253,4 = 2,6 = 15 , then 15 = ? \nOptions: a ) 1 , b ) 255 , c ) 345 , d ) 445 , e ) 6", "output": [ "e" ] }, { "id": "task1420-7264d34fc5694737b67c16c5eee253be", "input": "Problem: the sum of the first 50 positive even integers is 2550 . what is the sum of the even integers from 202 to 300 inclusive ? \nOptions: a ) 5,150 , b ) 7,550 , c ) 10,150 , d ) 12,550 , e ) 20,150", "output": [ "d" ] }, { "id": "task1420-73205935def3438b8b790f904073cb4f", "input": "Problem: if an integer n is to be chosen at random from the integers 1 to 92 , inclusive , what is the probability that n ( n + 1 ) ( n + 2 ) will be divisible by 8 ? \nOptions: a ) 1 / 4 , b ) 3 / 8 , c ) 1 / 2 , d ) 29 / 46 , e ) 3 / 4", "output": [ "d" ] }, { "id": "task1420-9201025a58dd434ab55f4c70ec833034", "input": "Problem: a salesman â € ™ s terms were changed from a flat commission of 5 % on all his sales to a fixed salary of rs . 1000 plus 2.5 % commission on all sales exceeding rs . 4,000 . if his remuneration as per new scheme was rs . 750 more than that by the previous schema , his sales were worth ? \nOptions: a ) s . 4,000 , b ) s . 6,000 , c ) s . 30,000 , d ) s . 40,000 , e ) s . 50,000", "output": [ "b" ] }, { "id": "task1420-14cd79aaba78453ca76f22ab155e56cf", "input": "Problem: if log 10 5 + log 10 ( 5 x + 1 ) = log 10 ( x + 5 ) + 1 , then x is equal to : \nOptions: a ) 1 , b ) 5 , c ) 3 , d ) 2 , e ) 6", "output": [ "c" ] }, { "id": "task1420-8ca149ba1d2e407d9cf91f0c3a8d1d8e", "input": "Problem: what is the sum of the greatest common factor and the lowest common multiple of 48 and 72 ? \nOptions: a ) 192 , b ) 120 , c ) 168 , d ) 160 , e ) 184", "output": [ "c" ] }, { "id": "task1420-8a78664cd8464afa8ea40017a8511d0f", "input": "Problem: if p / q = 4 / 5 , then the value of 6 / 7 + { ( 2 q - p ) / ( 2 q + p ) } is ? \nOptions: a ) 3 / 7 , b ) 34 , c ) 10 / 7 , d ) 2 , e ) 3", "output": [ "c" ] }, { "id": "task1420-2fc4e098f27f488f904bbb886e143f2d", "input": "Problem: the vertex of a rectangle are ( 1 , 0 ) , ( 5 , 0 ) , ( 1 , 2 ) and ( 5 , 2 ) respectively . if line l passes through the origin and divided the rectangle into two identical quadrilaterals , what is the slope of line l ? \nOptions: a ) 3 , b ) 6 , c ) 1 / 3 , d ) 1 / 2 , e ) 1 / 6", "output": [ "c" ] }, { "id": "task1420-3ccc287194724991be5fa4ff8b092d5a", "input": "Problem: a straight line in the xy - plane has a slope of 2 and a y - intercept of 2 . on this line , what is the x - coordinate of the point whose y - coordinate is 998 ? \nOptions: a ) 249 , b ) 498 , c ) 676 , d ) 823 , e ) 1,002", "output": [ "b" ] }, { "id": "task1420-ab9f3dd6144b4900a0256a5f766bf1b8", "input": "Problem: how many positive integers less than 5,000 are there in which the sum of the digits equals 5 ? \nOptions: a ) 64 , b ) 62 , c ) 63 , d ) 61 , e ) 56", "output": [ "e" ] }, { "id": "task1420-d50a9d4db49844539f03d54b9f0e18fd", "input": "Problem: at a certain committee meeting only associate professors and assistant professors are present . each associate professor has brought 2 pencils and 1 chart to the meeting , while each assistant professor has brought 1 pencil and 2 charts . if a total of 7 pencils and 11 charts have been brought to the meeting , how many people are present ? \nOptions: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10", "output": [ "a" ] }, { "id": "task1420-81d0bcac3fc241d6b3aebdac7403223f", "input": "Problem: in a simultaneous throw of a pair of dice , find the probability of getting a total more than 9 \nOptions: a ) 1 / 2 , b ) 7 / 18 , c ) 5 / 13 , d ) 5 / 12 , e ) 6 / 17", "output": [ "b" ] }, { "id": "task1420-7d558b0ae16f483ebe8ac4322c25a2ea", "input": "Problem: a dice has one of the first 4 prime number on each its 6 sides , with no two sides having the same number . the dice is rolled 10 times and the results added . the addition is most likely to be closet to \nOptions: a ) 41 , b ) 43 , c ) 60 , d ) 68 , e ) 70", "output": [ "b" ] }, { "id": "task1420-e7ee20bc56cb4998ab8f4f6716e42104", "input": "Problem: find k if 56 / k = 4 . \nOptions: a ) 16 , b ) 17 , c ) 18 , d ) 14 , e ) 13", "output": [ "d" ] }, { "id": "task1420-aa8d3757a8fd49d2ad3f218a4b95ee38", "input": "Problem: in a sample of associates at a law firm , 30 percent are second - year associates , and 60 percent are not first - year associates . what percentage of the associates at the law firm have been there for more than two years ? \nOptions: a ) 10 , b ) 20 , c ) 30 % , d ) 40 , e ) 50", "output": [ "c" ] }, { "id": "task1420-3d8e4634513c4c1f8cbae8ed78e9942c", "input": "Problem: if a = 105 and a ^ 3 = 21 * 49 * 45 * b , what is the value of b ? \nOptions: a ) 25 , b ) 42 , c ) 45 , d ) 49 , e ) 54", "output": [ "a" ] }, { "id": "task1420-c81412b1c4604696ac631ac6a30a4ddd", "input": "Problem: find ( 7 x + 2 y ) / ( x - 2 y ) if x / 2 y = 3 / 2 ? \nOptions: a ) 23 , b ) 25 , c ) 26 , d ) 27 , e ) 29", "output": [ "a" ] }, { "id": "task1420-5d16d4474bbe4812a18346dd6d2e047d", "input": "Problem: each child has 4 crayons and 14 apples . if there are 9 children , how many crayons are there in total ? \nOptions: a ) 22 , b ) 65 , c ) 12 , d ) 36 , e ) 10", "output": [ "d" ] }, { "id": "task1420-87461dbd0afe4036a7dbba21eebc228f", "input": "Problem: what is the remainder when you divide 2 ^ 200 - 1 by 7 ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "c" ] }, { "id": "task1420-d5f550c39cd944d88bbe3a323e1fa807", "input": "Problem: how many of the positive divisors of 480 are also multiples of 4 not including 480 ? \nOptions: a ) 15 , b ) 16 , c ) 19 , d ) 20 , e ) 24", "output": [ "a" ] }, { "id": "task1420-aaa314e288e84948bbfb8b04a0c3cea0", "input": "Problem: a jar of 180 marbles is divided equally among a group of marble - players today . if 2 people joined the group in the future , each person would receive 1 marble less . how many people are there in the group today ? \nOptions: a ) 16 , b ) 18 , c ) 20 , d ) 22 , e ) 24", "output": [ "b" ] }, { "id": "task1420-48e5342d3af34a4a9351c3af6cc761c8", "input": "Problem: if two positive numbers are in the ratio 1 / 8 : 1 / 7 , then by what percent is the second number more than the first ? \nOptions: a ) 14.3 % . , b ) 70 % . , c ) 60 % . , d ) 68 % . , e ) 80 % .", "output": [ "a" ] }, { "id": "task1420-c095279338894d51b47a7586aa1c51f2", "input": "Problem: how many times will the digit 6 be written when listing the integers from 1 to 1000 ? \nOptions: a ) 150 , b ) 280 , c ) 310 , d ) 420 , e ) 300", "output": [ "e" ] }, { "id": "task1420-f516085a08564f78b3eb03cd1e503071", "input": "Problem: 5 men are equal to as many women as are equal to 8 boys . all of them earn rs . 180 only . men â € ™ s wages are ? \nOptions: a ) 6 rs , b ) 2 rs , c ) 4 rs , d ) 9 rs , e ) 12 rs", "output": [ "e" ] }, { "id": "task1420-79752cd9b55048beb15d0d7b4ca9ef82", "input": "Problem: the average marks of a class of 40 students is 44 and that of another class of 45 students is 70 . find the average marks of all the students ? \nOptions: a ) 52.6 , b ) 52.4 , c ) 52.1 , d ) 69.5 , e ) 52.9", "output": [ "d" ] }, { "id": "task1420-42e029cbf7944f2186dd1561e87176e9", "input": "Problem: if n is the product of integers from 1 to 20 inclusive what is the greatest integer k for which 2 ^ k is a factor of n ? . \nOptions: a ) 10 , b ) 12 , c ) 15 , d ) 18 , e ) 20", "output": [ "d" ] }, { "id": "task1420-df53dbaf66894591adeb1c627fdb380f", "input": "Problem: the contents of a certain box consist of 48 apples and 30 kiwis . how many kiwis must be added to the box so that exactly 30 % of the pieces of fruit in the box will be apples ? \nOptions: a ) 90 , b ) 72 , c ) 82 , d ) 54 , e ) 65", "output": [ "c" ] }, { "id": "task1420-139e6cc475e34912a534a03dd3353983", "input": "Problem: how many positive integers i less than 20 are either a multiple of 2 , an odd multiple of 9 , or the sum of a positive multiple of 2 and a positive multiple of 9 ? \nOptions: a ) 19 , b ) 18 , c ) 17 , d ) 16 , e ) 15", "output": [ "e" ] }, { "id": "task1420-9cbba2dd14e44984be30daacbaac3dd0", "input": "Problem: a grocer has a sale of rs . 6435 , rs . 6927 , rs . 6855 , rs . 7230 and rs . 6562 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 6500 ? \nOptions: a ) 4551 , b ) 4771 , c ) 4991 , d ) 4881 , e ) 4661", "output": [ "c" ] }, { "id": "task1420-da09c9fb5e5a427c80dbf61be4a152aa", "input": "Problem: if n is a positive integer , what is the remainder when ( 7 ^ ( 4 n + 2 ) ) ( 6 ^ n ) is divided by 10 ? \nOptions: a ) 1 , b ) 2 , c ) 4 , d ) 6 , e ) 8", "output": [ "c" ] }, { "id": "task1420-306b53507420471b8fb424eeb7e4bf51", "input": "Problem: according to the directions on the can of frozen orange juice concentrate , 1 can of concentrate is to be mixed with 3 cans of water to make orange juice . how many 12 ounces cans of the concentrate are required to prepare 320 6 ounces servings of orange juice ? \nOptions: a ) a ) 25 , b ) b ) 34 , c ) c ) 50 , d ) d ) 40 , e ) e ) 100", "output": [ "d" ] }, { "id": "task1420-c654db1732ed455f8ee719d168ffef7c", "input": "Problem: among 7 numbers the average of first 4 numbers is 13 and the average of last 4 numbers is 15 . the sum of last 3 numbers is 55 . the square of the fourth number is equal to the last number then what is the last number ? \nOptions: a ) 60 , b ) 52 , c ) 5 , d ) 25 , e ) 125", "output": [ "d" ] }, { "id": "task1420-86b7be0b3e13406fa17075e0fc9e4238", "input": "Problem: in smithtown , the ratio of right - handed people to left - handed people is 3 to 1 and the ratio of men to women is 3 to 2 . if the number of right - handed men is maximized , then what percent z of all the people in smithtown are left - handed women ? \nOptions: a ) 50 % , b ) 40 % , c ) 25 % , d ) 20 % , e ) 10 %", "output": [ "c" ] }, { "id": "task1420-d153535a1e274f16b8eed479bc41e859", "input": "Problem: a , b and c rent a pasture . if a puts 10 oxen for 7 months , b puts 12 oxen for 5 months and c puts 15 oxen for 3 months for grazing and the rent of the pasture is rs . 210 , then how much amount should c pay as his share of rent ? \nOptions: a ) 54 , b ) 45 , c ) 25 , d ) 15 , e ) 55", "output": [ "a" ] }, { "id": "task1420-9875919b79f34ffb88d72711a3a7d938", "input": "Problem: an engineer designed a ball so that when it was dropped , it rose with each bounce exactly one - half as high as it had fallen . the engineer dropped the ball from a 16 - meter platform and caught it after it had traveled 45 meters . how many times did the ball bounce ? \nOptions: a ) 5 , b ) 4 , c ) 7 , d ) 8 , e ) 9", "output": [ "b" ] }, { "id": "task1420-6b11758d700d44d198d4fbba648249a0", "input": "Problem: the average age of students of a class is 15.8 years . the average age of boys in the class is 16.4 years and that of the girls is 15.5 years , the ratio of the number of boys to the number of girls in the class is \nOptions: a ) 1 : 2 , b ) 2 : 3 , c ) 9 : 3 , d ) 6 : 3 , e ) 2 : 5", "output": [ "a" ] }, { "id": "task1420-b9114d562cc64a7babdd2c7c3d412470", "input": "Problem: what is the average of the first 10 multiples of 11 ? \nOptions: a ) 55.5 , b ) 61.5 , c ) 53.5 , d ) 78.5 , e ) 60.5", "output": [ "e" ] }, { "id": "task1420-a5e7c44498c748d99760968aba53fc00", "input": "Problem: if a * b * c = 130 , b * c * d = 65 , c * d * e = 1000 and d * e * f = 250 the ( a * f ) / ( c * d ) = ? \nOptions: a ) 1 / 2 , b ) 1 / 4 , c ) 3 / 4 , d ) 2 / 3 , e ) none of these", "output": [ "a" ] }, { "id": "task1420-1974e2e121ec493e8f115324349beadb", "input": "Problem: which number can we add to 859722 to get a number exactly divisible by 456 ? \nOptions: a ) 294 , b ) 306 , c ) 318 , d ) 338 , e ) 362", "output": [ "a" ] }, { "id": "task1420-fbe4c106c7ed4c7bbc136771cad2b8b8", "input": "Problem: sandy gets 3 marks for each correct sum and loses 2 marks for each incorrect sum . sandy attempts 30 sums and obtains 50 marks . how many sums did sandy get correct ? \nOptions: a ) 20 , b ) 22 , c ) 24 , d ) 26 , e ) 28", "output": [ "b" ] }, { "id": "task1420-2b980dfd14e145d69de38973d7d5ae4b", "input": "Problem: each week , harry is paid x dollars per hour for the first 35 hours and 1.5 x dollars for each additional hour worked that week . each week , james is paid x dollars per per hour for the first 40 hours and 2 x dollars for each additional hour worked that week . last week james worked a total of 41 hours if harry and james were paid the same amount last week , how many hours did harry work last week ? \nOptions: a ) 35 , b ) 36 , c ) 34 , d ) 38 , e ) 39", "output": [ "c" ] }, { "id": "task1420-8cc6c4536dc64a76916d1a526d83337a", "input": "Problem: a palindrome is a number that reads the same front - to - back as it does back - to - front ( e . g . 202 , 575 , 1991 , etc . ) p is the smallest integer greater than 200 that is both a prime and a palindrome . what is the sum of the digits of p ? \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "e" ] }, { "id": "task1420-5b3ed185569244f29f3385364134b777", "input": "Problem: zachary is helping his younger brother , sterling , learn his multiplication tables . for every question that sterling answers correctly , zachary gives him 3 pieces of candy . for every question that sterling answers incorrectly , zachary takes away two pieces of candy . after 8 questions , if sterling had answered 2 more questions correctly , he would have earned 31 pieces of candy . how many of the 8 questions did zachary answer correctly ? \nOptions: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10", "output": [ "c" ] }, { "id": "task1420-dcf84eef006841f8995400f365d27a99", "input": "Problem: in a certain archery competition , points were awarded as follows : the first place winner receives 11 points , the second place winner receives 7 points , the third place winner receives 5 points and the fourth place winner receives 2 points . no other points are awarded . john participated several times in the competition and finished first , second , third , or fourth each time . the product of all the points he received was 107800 . how many times did he participate in the competition ? \nOptions: a ) 4 , b ) 5 , c ) 6 , d ) 7 , e ) 8", "output": [ "e" ] }, { "id": "task1420-0da7beb259a74695a25887ad29e5c129", "input": "Problem: what least number must be subtracted from 13294 so that the remainder is exactly divisible by 97 ? \nOptions: a ) 3 , b ) 5 , c ) 7 , d ) 9 , e ) 10", "output": [ "b" ] }, { "id": "task1420-fcc7ca71020a46e0831439c4ff396917", "input": "Problem: a wholesaler wishes to sell 100 pounds of mixed nuts at $ 2.50 a pound . she mixes peanuts worth $ 1.50 a pound with cashews worth $ 5.00 a pound . how many pounds of cashews must she use ? \nOptions: a ) 40 , b ) 45 , c ) 50 , d ) 55 , e ) 60", "output": [ "b" ] }, { "id": "task1420-2e96ba197be84415acee533ba0b9e7ae", "input": "Problem: lagaan is levied on the 60 percent of the cultivated land . the revenue department collected total rs . 3 , 54,000 through the lagaan from the village of mutter . mutter , a very rich farmer , paid only rs . 480 as lagaan . the percentage of total land of mutter over the total taxable land of the village is : \nOptions: a ) 0.22598 , b ) 0.14544 , c ) 0.25632 , d ) 0.35466 , e ) 0.63435", "output": [ "a" ] }, { "id": "task1420-3be7ff34e2e941c180a670a591c97d7b", "input": "Problem: the average of 40 results is 30 and the average of other 30 results is 40 . what is the average of all the results ? \nOptions: a ) 34 , b ) 25 , c ) 48 , d ) 50 , e ) none", "output": [ "a" ] }, { "id": "task1420-27d720db95f743fd97756ebeaf12cd27", "input": "Problem: what is the lowest positive integer that is divisible by 4 through 7 , inclusive ? \nOptions: a ) 77 , b ) 270 , c ) 1600 , d ) 840 , e ) 980", "output": [ "d" ] }, { "id": "task1420-1cb374b9cfa146038ce2fc3e3644dc55", "input": "Problem: what is the average of 1200 , 1300 , 1400 , 1510 , 1520 , 1530 , and 1200 ? \nOptions: a ) 1360.47 , b ) 1355.8 , c ) 1380 , d ) 1350 , e ) 1333", "output": [ "c" ] }, { "id": "task1420-7423a08dba9343e19c02e650f4c40aad", "input": "Problem: the ratio 6 : 5 expressed as a percent equals \nOptions: a ) 12.5 % , b ) 40 % , c ) 120 % , d ) 125 % , e ) none", "output": [ "c" ] }, { "id": "task1420-b63274a11db1426693c096aa5ee92b91", "input": "Problem: what is the remainder when 8 ^ 714 is divided by 5 ? \nOptions: a ) 2 , b ) 3 , c ) 1 , d ) 0 , e ) 4", "output": [ "e" ] }, { "id": "task1420-f417e1c212bf4ff2a427d5685a4fdfd6", "input": "Problem: what is the units digit of ( 5 ! * 5 ! + 6 ! * 5 ! ) / 3 ? \nOptions: a ) 4 , b ) 3 , c ) 2 , d ) 1 , e ) 0", "output": [ "e" ] }, { "id": "task1420-86462cbf780944b08336a7e2d0b40a38", "input": "Problem: how many numbers from 2 to 13 are exactly divisible by 2 ? \nOptions: a ) a ) 2 , b ) b ) 3 , c ) c ) 5 , d ) d ) 7 , e ) e ) 6", "output": [ "e" ] }, { "id": "task1420-e061516fa88c4788b1d81f042e0ea445", "input": "Problem: at joes steakhouse the hourly wage for a chef is 20 % greater than that of a dishwasher , and the hourly wage of a dishwasher is half as much as the hourly wage of a manager . if a managers wage is $ 6.50 per hour , how much less than a manager does a chef earn each hour ? \nOptions: a ) $ 2.6 , b ) $ 2.40 , c ) $ 3.40 , d ) $ 4.40 , e ) $ 5.40", "output": [ "a" ] }, { "id": "task1420-9089555503084b709a195f33ead538de", "input": "Problem: a confectioner decides to sell all of his pastry due to the coming holiday . his pastry goods are equally divided among a group of 15 regular customers . if only 49 customers come to the bakery , each one will receive 6 less pastry goods . how much pastry does the confectioner needs to sell ? \nOptions: a ) 450 . , b ) 459 . , c ) 432 . , d ) 502 . , e ) 522 .", "output": [ "a" ] }, { "id": "task1420-9250b2ac2b8c427aa7afb943084f0faa", "input": "Problem: ? x 48 = 173 x 240 \nOptions: a ) 545 , b ) 685 , c ) 865 , d ) 495 , e ) 534", "output": [ "c" ] }, { "id": "task1420-f42c2583e57e49ffbd2ebb547622539f", "input": "Problem: a company that ships boxes to a total of 12 distribution centers uses color coding to identify each center . if either a single color or a pair of two different colors is chosen to represent each center and if each center is uniquely represented by that choice of one or two colors , what is the minimum number of colors needed for the coding ? ( assume that the order of colors in a pair does not matter ) \nOptions: a ) 4 , b ) 5 , c ) 6 , d ) 12 , e ) 24", "output": [ "b" ] }, { "id": "task1420-ad35e45f661948b88e1badc7be0bd890", "input": "Problem: the sum of ages of 5 children born 3 years different each is 50 years . what is the age of the elder child ? \nOptions: a ) 8 , b ) 9 , c ) 10 , d ) 16 , e ) 17", "output": [ "d" ] }, { "id": "task1420-4686b349d2094e4e80ecacd395f36341", "input": "Problem: if 2 ^ ( 2 w ) = 8 ^ ( w − 1 ) , what is the value of w ? \nOptions: a ) 3 , b ) 6 , c ) 9 , d ) 12 , e ) 15", "output": [ "a" ] }, { "id": "task1420-37faf00c1643496083646970f7828a42", "input": "Problem: the vertex of a rectangle are ( 1 , 0 ) , ( 5 , 0 ) , ( 1 , 1 ) and ( 5 , 1 ) respectively . if line l passes through the origin and divided the rectangle into two identical quadrilaterals , what is the slope of line l ? \nOptions: a ) 1 / 2 , b ) 2 , c ) 1 / 6 , d ) 3 , e ) 1 / 4", "output": [ "c" ] }, { "id": "task1420-a40b1b4828374795aaff1a9f28d4482a", "input": "Problem: if the average ( arithmetic mean ) of a and b is 45 and the average of b and c is 80 , what is the value of c â ˆ ’ a ? \nOptions: a ) 25 , b ) 70 , c ) 90 , d ) 140 , e ) it can not be determined from the information given", "output": [ "b" ] }, { "id": "task1420-ca6b241fe8544dbe8218eb73e336a802", "input": "Problem: drum x is 1 / 2 full of oil and drum y , which has twice the capacity of drum x , is 1 / 3 full of oil . if all of the oil in drum x is poured into drum y , then drum y will be filled to what capacity ? \nOptions: a ) 2 / 3 , b ) 5 / 6 , c ) 7 / 12 , d ) 11 / 12 , e ) 17 / 24", "output": [ "c" ] }, { "id": "task1420-7e59cb2f77a5466ea9c01c3965f6a170", "input": "Problem: what approximate value will come in place of the question mark ( ? ) in the below question ? ( 47 % of 1442 - 36 % of 1412 ) + 63 = ? \nOptions: a ) 237 , b ) 278 , c ) 278 , d ) 252 , e ) 271", "output": [ "d" ] }, { "id": "task1420-80e6741fbe7b4c44bf73983769f4c003", "input": "Problem: for how many integer values of n will the value of the expression 4 n + 7 be an integer greater than 1 and less than 60 ? \nOptions: a ) 10 , b ) 15 , c ) 8 , d ) 12 , e ) 20", "output": [ "b" ] }, { "id": "task1420-4f6971b829584913bb7db7d5b25aa735", "input": "Problem: if the price of gasoline increases by 25 % and a driver intends to spend only 10 % more on gasoline , by how much percent should the driver reduce the quantity of gasoline that he buys ? \nOptions: a ) 5 % , b ) 8 % , c ) 10 % , d ) 12 % , e ) 15 %", "output": [ "d" ] }, { "id": "task1420-b8e5c360c64a442c89a9ae8d88077b22", "input": "Problem: if x is 30 percent more than y and y is 50 percent less than z , then x is what percent of z ? \nOptions: a ) 500 % , b ) 250 % , c ) 65 % , d ) 125 % , e ) 60 %", "output": [ "c" ] }, { "id": "task1420-3698352d0e8f46be809d371745854966", "input": "Problem: a , b and c started a business with a total investment of rs . 90000 . a invests rs . 6000 more than b and b invests rs . 3000 less than c . if the total profit at the end of a year is rs . 8640 , find c ' s share . \nOptions: a ) rs . 3240 , b ) rs . 2520 , c ) rs . 2880 , d ) rs . 3360 , e ) none of these", "output": [ "c" ] }, { "id": "task1420-8789d39a9270407798f49663f6cb32aa", "input": "Problem: if 49 ( 7 ^ x ) = 1 then x = \nOptions: a ) – 2 , b ) – 1 , c ) 0 , d ) 1 , e ) 2", "output": [ "a" ] }, { "id": "task1420-2b5a63160dc543c9a8498423363bf3b3", "input": "Problem: how many words , with or without meaning , can be formed using all letters of the word orange using each letter exactly once ? \nOptions: a ) 700 , b ) 720 , c ) 740 , d ) 760 , e ) 780", "output": [ "b" ] }, { "id": "task1420-1751244cee7b41979c9cdbd95ceb4fee", "input": "Problem: a cargo ship carrying 4 kinds of items , doohickies , geegaws , widgets , and yamyams , arrives at the port . each item weighs 2 , 11 , 5 , and 7 pounds , respectively , and each item is weighed as it is unloaded . if , in the middle of the unloading process , the product of the individual weights of the unloaded items equals 104 , 350400 pounds , how many widgets have been unloaded ? \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 25 , e ) 20 , 870,080", "output": [ "a" ] }, { "id": "task1420-5cf1f4a8d1254f70a7af30999641a410", "input": "Problem: 7 / 9 of 3 / 5 of a number is greater than 2 / 9 of 5 / 6 of the same number by 152 . what is half of that number ? \nOptions: a ) 165 , b ) 195 , c ) 240 , d ) 270 , e ) 315", "output": [ "d" ] }, { "id": "task1420-6b73aa39f71244aab2a02628ea29d3fa", "input": "Problem: what is the ratio of 3 / 7 to the product 3 * ( 7 / 3 ) ? \nOptions: a ) 3 : 7 , b ) 1 : 3 , c ) 3 : 21 , d ) 1 : 7 , e ) 3 : 49", "output": [ "e" ] }, { "id": "task1420-eda75944b3a841bba23c28d6629ba707", "input": "Problem: of the families in city x in 1991 , 60 percent owned a personal computer . the number of families in city x owning a computer in 1993 was 20 percent greater than it was in 1991 , and the total number of families in city x was 9 percent greater in 1993 than it was in 1991 . what percent of the families in city x owned a personal computer in 1993 ? \nOptions: a ) 59 % , b ) 55 % , c ) 63 % , d ) 66 % , e ) 68 %", "output": [ "d" ] }, { "id": "task1420-1fc826c1a8b242d3aa96b67547bf75e9", "input": "Problem: a jogger running at 9 km / hr along side a railway track is 240 m ahead of the engine of a 140 m long train running at 45 km / hr in the same direction . in how much time will the train pass the jogger ? \nOptions: a ) 28 sec , b ) 16 sec , c ) 38 sec , d ) 18 sec , e ) 17 sec", "output": [ "c" ] }, { "id": "task1420-bb43a3e7b58947a39da5d11e9c8aca92", "input": "Problem: a survey of n people in the town of eros found that 50 % of them preferred brand a . another surveyof 100 people in the town of angie found that 60 % preferred brand a . in total , 55 % of all the people surveyed together preferred brand a . what is the total number of people surveyed ? \nOptions: a ) 50 , b ) 100 , c ) 150 , d ) 200 , e ) 250", "output": [ "d" ] }, { "id": "task1420-e75cdab9c09a42919ca8135aa78e56d9", "input": "Problem: if the sum of two positive integers is 26 and the difference of their squares is 52 , what is the product of the two integers ? \nOptions: a ) 108 , b ) 119 , c ) 128 , d ) 135 , e ) 168", "output": [ "e" ] }, { "id": "task1420-0c9c7496378b4524929588ece1a7cfc5", "input": "Problem: on the richter scale , which measures the total amount of energy released during an earthquake , a reading of x - 1 indicates one - tenth the released energy as is indicated by a reading of x . on that scale , the frequency corresponding to a reading of 7 is how many times as great as the frequency corresponding to a reading of 2 ? \nOptions: a ) 40 , b ) 50 , c ) 10 ^ 4 , d ) 10 ^ 5 , e ) 10 ^ 6", "output": [ "d" ] }, { "id": "task1420-719758a5af364f54bd8ea6b50e7877da", "input": "Problem: 75 % of x is greater than 1 / 3 rd of x by 110 . what is x ? \nOptions: a ) 160 , b ) 264 , c ) 360 , d ) 354 , e ) 400", "output": [ "b" ] }, { "id": "task1420-ab6f576bb5964288b665ba7d94038f61", "input": "Problem: in the xy - plane , the point ( 3 , 1 ) is the center of a circle . the point ( 3 , - 2 ) lies inside the circle and the point ( - 2 , 1 ) lies outside the circle . if the radius r of the circle is an integer , then r = \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6", "output": [ "c" ] }, { "id": "task1420-329b699986e14b76b1ae24fd4f6bfe27", "input": "Problem: at the end of year x , automobile installment credit accounted for 36 % of all outstanding consumer installment credit . at that time automobile finance companies extended $ 35 billion of credit , or 1 / 3 of the automobile installment credit . how many billion dollars of consumer installment credit was outstanding at that time ? \nOptions: a ) 291.67 , b ) 105 , c ) 301.05 , d ) 288 , e ) 249.55", "output": [ "a" ] }, { "id": "task1420-95ad3f6c40fd4394a6ef2d329765470a", "input": "Problem: ramu rides his bike at an average speed of 45 km / hr and reaches his desitination in 4 hours . somu covers the same distance in 6 hours . if ramu covered his journey at an average speed which was 9 km / hr less and somu covered his journey at an average speed which was 10 km / hr more , then the difference in their times taken to reach the destination would be ( in minutes ) . \nOptions: a ) 23 minutes , b ) 30 minutes , c ) 43 minutes , d ) 23 minutes , e ) 33 minutes", "output": [ "b" ] }, { "id": "task1420-a214657a8b4b41708bfdebdacaa1ce19", "input": "Problem: the average ( arithmetic mean ) of 16 students first quiz scores in a difficult english class is 61.5 . when one student dropped the class , the average of the remaining scores increased to 64.0 . what is the quiz score of the student who dropped the class ? \nOptions: a ) a ) 10 , b ) b ) 24 , c ) c ) 40 , d ) d ) 55 , e ) e ) 70", "output": [ "b" ] }, { "id": "task1420-3c4b9c6fa07843649593c8c7360e7390", "input": "Problem: the average of 9 observations was 6 , that of the 1 st of 5 being 10 and that of the last 5 being 8 . what was the 5 th observation ? \nOptions: a ) 36 , b ) 12 , c ) 15 , d ) 17 , e ) 18", "output": [ "a" ] }, { "id": "task1420-8d4c699cf9604afaaf3f98c1f687e61b", "input": "Problem: the average student age of a certain class which has 30 students is 10 . if one student aged 11 go to another class and the age of the class teacher is included the average changes to 11 . what is the age of class teacher ? \nOptions: a ) 32 , b ) 41 , c ) 45 , d ) 48 , e ) 50", "output": [ "b" ] }, { "id": "task1420-7e3f9bcc72114dc7bfa512b751d88b58", "input": "Problem: x varies inversely as square of y . given that y = 3 for x = 1 . the value of x for y = 4 will be equal to : \nOptions: a ) 3 , b ) 6 , c ) 1 / 9 , d ) 1 / 3 , e ) 9 / 16", "output": [ "e" ] }, { "id": "task1420-b50f44f4a51f4082a2ba076150246e72", "input": "Problem: a batsman makes a score of 50 runs in the 17 th inning and thus increases his averages by 2 . what is his average after 17 th inning ? \nOptions: a ) 39 , b ) 18 , c ) 42 , d ) 40.5 , e ) 41.5", "output": [ "b" ] }, { "id": "task1420-70822cb515ab471b8a570a7b81c7ce06", "input": "Problem: x is the product of each integer from 1 to 50 , inclusive and y = 100 ^ k , where k is an integer . what is the greatest value of k for which y is a factor of x ? \nOptions: a ) 0 , b ) 5 , c ) 6 , d ) 10 , e ) 12", "output": [ "c" ] }, { "id": "task1420-d2c885366a0b49399b922dbbcda4e906", "input": "Problem: - 69 * 39 + 450 = ? \nOptions: a ) 2736 , b ) 2309 , c ) - 2801 , d ) - 2241 , e ) none of these", "output": [ "d" ] }, { "id": "task1420-1bf9f8b31c6b4096a098110d27005709", "input": "Problem: a vendor sells 80 percent of the pears he had and throws away 50 percent of the remainder . the next day , the vendor sells 80 percent of the remaining pears and throws away the rest . in total , what percent of his pears does the vendor throw away ? \nOptions: a ) 6 , b ) 8 , c ) 10 , d ) 12 , e ) 14", "output": [ "d" ] }, { "id": "task1420-c7f4580a792c4af4967181c7b761ea8f", "input": "Problem: if a = 105 and a ^ 3 = 21 * 25 * 15 * b , what is the value of b ? \nOptions: a ) 35 , b ) 42 , c ) 45 , d ) 147 , e ) 54", "output": [ "d" ] }, { "id": "task1420-9ccd86941e7b4f2cb20033fd5ff7d680", "input": "Problem: a certain taxi company charges $ 3.50 for the first 1 / 5 of a mile plus $ 0.40 for each additional 1 / 5 of a mile . what would this company charge for a taxi ride that was 8 miles long ? \nOptions: a ) 15.6 , b ) 16.0 , c ) 17.5 , d ) 18.7 , e ) 19.1", "output": [ "e" ] }, { "id": "task1420-68f013575fba4873bb7b26d84290597e", "input": "Problem: thabo owns exactly 220 books , and each book is either paperback fiction , paperback nonfiction , or hardcover nonfiction . if he owns 20 more paperback nonfiction books than hardcover nonfiction books , and twice as many paperback fiction books as paperback nonfiction books , how many hardcover books nonfiction books does thabo own ? \nOptions: a ) 10 , b ) 20 , c ) 30 , d ) 40 , e ) 50", "output": [ "d" ] }, { "id": "task1420-1ff593feef2a49c18ad5b421b89f1630", "input": "Problem: a textile manufacturing firm employees 50 looms . it makes fabrics for a branded company . the aggregate sales value of the output of the 50 looms is rs 5 , 00,000 and the monthly manufacturing expenses is rs 1 , 50,000 . assume that each loom contributes equally to the sales and manufacturing expenses are evenly spread over the number of looms . monthly establishment charges are rs 75000 . if one loom breaks down and remains idle for one month , the decrease in profit is : \nOptions: a ) 13000 , b ) 7000 , c ) 10000 , d ) 5000 , e ) none of these", "output": [ "b" ] }, { "id": "task1420-270d84f8bcf2445f9155504d38639a1c", "input": "Problem: how many 3 - digit even numbers are possible such that if one of the digits is 5 , the next / succeeding digit to it should be 6 \nOptions: a ) 5 , b ) 305 , c ) 365 , d ) 405 , e ) 495", "output": [ "a" ] }, { "id": "task1420-3ced3649fb824a209fa78cfd6f9ecd5e", "input": "Problem: how many multiples of 5 are there between 0 and 358 ? \nOptions: a ) 54 , b ) 75 , c ) 76 , d ) 71 , e ) 58", "output": [ "d" ] }, { "id": "task1420-5f2c4c0a29d642689a3241169a8cb7d4", "input": "Problem: what is the thousandths digit in the decimal equivalent of 64 / 5000 ? \nOptions: a ) 2 , b ) 1 , c ) 3 , d ) 5 , e ) 6", "output": [ "a" ] }, { "id": "task1420-5953ac44abaa4fb2b24da3b12b2bb99a", "input": "Problem: 1 / 3 of girls , 1 / 2 of boys go to canteen . what factor and total number of classmates go to canteen . \nOptions: a ) 1 / 5 , b ) 1 / 4 , c ) 1 / 3 , d ) 2 / 5 , e ) 2 / 3", "output": [ "d" ] }, { "id": "task1420-7f84469d7bf44566ae94f500813474a0", "input": "Problem: the average ( arithmetic mean ) of 4 positive integers is 50 . if the average of 2 of these integers is 35 , what is the greatest possible value that one of the other 2 integers can have ? \nOptions: a ) 55 , b ) 65 , c ) 100 , d ) 109 , e ) 129", "output": [ "e" ] }, { "id": "task1420-8436e1358bfa44a8816f744c1d08f7e3", "input": "Problem: an alloy of copper and zinc contains copper and zinc in the ratio 6 : 4 . another alloy of copper and zinc contains copper and zinc in the ratio 3 : 7 . in what ratio should the two alloys be mixed so that the resultant alloy contains equal proportions of copper and zinc ? \nOptions: a ) 12 : 1 , b ) 1 : 2 , c ) 4 : 1 , d ) 2 : 5 , e ) 2 : 6", "output": [ "b" ] }, { "id": "task1420-cf5e6dcf636d4438af1082cfa1229787", "input": "Problem: if a number p is prime , and 2 p + 4 = q , where q is also prime , then the decimal expansion of 1 / q will produce a decimal with q - 1 digits . if this method produces a decimal with 166 digits , what is the units digit of the product of p and q ? \nOptions: a ) 1 , b ) 3 , c ) 5 , d ) 7 , e ) 9", "output": [ "a" ] }, { "id": "task1420-087816924ce54868acf0a195f8fcbf01", "input": "Problem: what is the 124 th digit to the right of the decimal point in the decimal form of 24 / 44 ? \nOptions: a ) 8 , b ) 9 , c ) 6 , d ) 4 , e ) 2", "output": [ "d" ] }, { "id": "task1420-323ca7a4d0f546da9199789e5c3b9f62", "input": "Problem: maths , physics and chemistry books are stored on a library shelf that can accommodate 25 books . currently , 20 % of the shelf spots remain empty . there are twice as many maths books as physics books and the number of physics books is 4 greater than that of chemistry books . among all the books , 12 books are soft cover and the remaining are hard - cover . if there are a total of 7 hard - cover books among the maths and physics books . what is the probability e , that a book selected at random is either a hard cover book or a chemistry book ? \nOptions: a ) 1 / 10 , b ) 3 / 20 , c ) 1 / 5 , d ) 1 / 4 , e ) 9 / 20", "output": [ "e" ] }, { "id": "task1420-06d0c0cbdfc04d978c1766141ffb1ce5", "input": "Problem: for how many unique pairs of nonnegative integers { a , b } is the equation a ^ 2 - b ^ 2 = 45 true ? \nOptions: a ) 1 , b ) 3 , c ) 5 , d ) 7 , e ) 9", "output": [ "b" ] }, { "id": "task1420-ed3196d52c4c4848ada8b77ee5c11829", "input": "Problem: what is the least integer greater than – 3 + 0.5 ? \nOptions: a ) – 2 , b ) – 1 , c ) 0 , d ) 1 , e ) 2", "output": [ "a" ] }, { "id": "task1420-95f08c6255da4853ae899b57a5ff8ffd", "input": "Problem: the average age of students of a class is 15.8 years . the average age of boys in the class is 16.4 years and that of the girls is 15.2 years , the ratio of the number of boys to the number of girls in the class is \nOptions: a ) 7 : 3 , b ) 2 : 3 , c ) 9 : 3 , d ) 6 : 3 , e ) 1 : 1", "output": [ "e" ] }, { "id": "task1420-a9402357aac549c8961bcbe46ec52c11", "input": "Problem: for what value of x , is | x – 3 | + | x + 1 | + | x | = 10 ? \nOptions: a ) 0 , b ) 3 , c ) - 3 , d ) 4 , e ) - 2", "output": [ "d" ] }, { "id": "task1420-f0f8aa53e31e458aa6f58c20914a7288", "input": "Problem: if 2 x = 3 y = 20 , then 12 xy = ? \nOptions: a ) 1,200 , b ) 800 , c ) 120 , d ) 40 , e ) 20", "output": [ "b" ] }, { "id": "task1420-b1656839083d47808dd50434c72ce6ec", "input": "Problem: the largest prime number is ? \nOptions: a ) 11 , b ) 13 , c ) 5 , d ) 7 , e ) 9", "output": [ "b" ] }, { "id": "task1420-6654c32e3785456290e45ceb4886de7a", "input": "Problem: two numbers are less than a third number by 40 % and 47 % respectively . how much per cent is the second number less than the first ? \nOptions: a ) 95 % , b ) 88 % , c ) 85 % , d ) 90 % , e ) none of these", "output": [ "b" ] }, { "id": "task1420-bb85d430e85e4bd7b075c05ed8484199", "input": "Problem: if r is a positive integer and r ^ 2 is divisible by 12 , then the largest positive integer that must divide r ^ 3 is \nOptions: a ) 2 ^ 3 , b ) 2 ^ 6 , c ) 3 ^ 3 , d ) 6 ^ 3 , e ) 12 ^ 2", "output": [ "d" ] }, { "id": "task1420-e4e4718a94b74060a044f75cca9eeed2", "input": "Problem: ram ' s salary is 25 % more than raja ' s . how much percent is raja ' s salary less than ram ' s ? \nOptions: a ) 10 % , b ) 15 % , c ) 20 % , d ) 25 % , e ) 50 %", "output": [ "c" ] }, { "id": "task1420-5dc04ffa7b1f4ff2bf2891d5108b57d9", "input": "Problem: what least number must be subtracted from 9671 so that the remaining number is divisible by 5 ? \nOptions: a ) 5 , b ) 4 , c ) 3 , d ) 2 , e ) 1", "output": [ "e" ] }, { "id": "task1420-d3c53dc0be8b466ab2390f3ac4e449e1", "input": "Problem: pat , kate , and mark charged a total of 135 hours to a certain project . if pat charged twice as much time to the project as kate and 1 / 3 as much time as mark , how many more hours did mark charge to the project than kate ? \nOptions: a ) 18 , b ) 36 , c ) 75 , d ) 90 , e ) 108", "output": [ "c" ] }, { "id": "task1420-e143208d72ac41d2bf95a0742e88c122", "input": "Problem: a collection of books went on sale , and 2 / 3 of them were sold for $ 4 each . if none of the 36 remaining books were sold , what was the total amount received for the books that were sold ? \nOptions: a ) $ 288 , b ) $ 135 , c ) $ 90 , d ) $ 60 , e ) $ 54", "output": [ "a" ] }, { "id": "task1420-149da842fb714f268e2d31db5de91cc1", "input": "Problem: if the digits 31 in the decimal 0.00031 repeat indefinitely , what is the value of ( 10 ^ 5 - 10 ^ 3 ) ( 0.00031 ) ? \nOptions: a ) 31 , b ) 0.31 , c ) 0.0031 , d ) 0.00031 , e ) 3.1 e - 05", "output": [ "a" ] }, { "id": "task1420-d2147f14c53649379cb4c6305d5ed96e", "input": "Problem: the average age of 15 students of a class is 16 years . out of these , the average age of 5 students is 14 years and that of the other 10 students is 16 years . tee age of the 15 th student is ? \nOptions: a ) 18 years , b ) 16 years , c ) 14 years , d ) 12 years , e ) 10 years", "output": [ "e" ] }, { "id": "task1420-2193142709e145e9b9ea984d52d76cb3", "input": "Problem: jar x is 1 / 4 full of water . jar y , which has half the capacity of jar x , is 1 / 2 full of water . if the water in jar y is poured into jar x , then jar x will be filled to what fraction of its capacity ? \nOptions: a ) 2 / 5 , b ) 1 / 4 , c ) 1 / 3 , d ) 1 / 2 , e ) 2 / 3", "output": [ "d" ] }, { "id": "task1420-b58e634c98914687907afde44eac4d3f", "input": "Problem: the price of lunch for 15 people was $ 207 including a 15 % gratuity for service . what was the average price per person , excluding the gratuity ? \nOptions: a ) 11.73 , b ) 12 , c ) 13.8 , d ) 14 , e ) 15.87", "output": [ "b" ] }, { "id": "task1420-18fcdfa71f4d4f29a83e2427917f25f4", "input": "Problem: the average weight of a group of 30 friends increases by 10 kg when the weight of additional 30 friends was added . if average weight of the whole group after including the additional 30 members is 40 kg , what is the average weight of the additional friends ? \nOptions: a ) 50 kg , b ) 60 kg , c ) 61 kg , d ) 62 kg , e ) 91 kg", "output": [ "a" ] }, { "id": "task1420-9540e42a34a84dbe999d679e24f2d2d9", "input": "Problem: what is the greatest prime factor of 2 ^ 8 - 1 ? \nOptions: a ) 11 , b ) 13 , c ) 17 , d ) 19 , e ) 23", "output": [ "c" ] }, { "id": "task1420-63ace0930e1844e599426a091f9bf824", "input": "Problem: a batsman in his 12 th innings makes a score of 65 and thereby increases his average by 2 runs . what is his average after the 12 th innings if he had never been ‘ not out ’ ? \nOptions: a ) 42 , b ) 43 , c ) 44 , d ) 45 , e ) 46", "output": [ "b" ] }, { "id": "task1420-ea96e83c3b1f4350ac5e3e76900001ca", "input": "Problem: evaluate : 37 - 18 ÷ 3 × 2 = \nOptions: a ) 20 , b ) 25 , c ) 27 , d ) 22 , e ) 17", "output": [ "b" ] }, { "id": "task1420-baea4e0469ca448ab2608640ea4a2f98", "input": "Problem: rs . 1430 is divided so that 4 times the first share , thrice the 2 nd share and twice the third share amount to the same . what is the value of the third share ? \nOptions: a ) s . 528 , b ) s . 542 , c ) s . 528 , d ) s . 540 , e ) s . 660", "output": [ "e" ] }, { "id": "task1420-45acdc53108b486d89f1f25b7d1dbab4", "input": "Problem: a student chose a number , multiplied it by 2 , then subtracted 180 from the result and got 104 . what was the number he chose ? \nOptions: a ) 90 , b ) 100 , c ) 120 , d ) 142 , e ) 200", "output": [ "d" ] }, { "id": "task1420-ca4bd9371ac34320b19130570f85ceb7", "input": "Problem: find the value of ( 85 + 32 / 113 ) × 113 \nOptions: a ) 9263 , b ) 9244 , c ) 9636 , d ) 9623 , e ) 9637", "output": [ "e" ] }, { "id": "task1420-c40db92da364437fb1f67674140544be", "input": "Problem: the jogging track in a sports complex is 1000 meters in circumference . deepak and his wife start from the same point and walk in opposite directions at 20 km / hr and 12 km / hr respectively . they will meet for the first time in ? \nOptions: a ) 32 min , b ) 40 min , c ) 35 min , d ) 25 min , e ) 20 min", "output": [ "a" ] }, { "id": "task1420-f216a713138a4fb0af29c38ff8fb7f81", "input": "Problem: 0.0006 ? = 0.03 \nOptions: a ) 2 , b ) 20 , c ) 0.2 , d ) 0.02 , e ) none of these", "output": [ "d" ] }, { "id": "task1420-b02c9c25e3394b21b2057c06a468e888", "input": "Problem: in a rectangular coordinate system , if a line passes through the points ( - 15 , - 18 ) , ( 1522 ) and ( x , 2 ) then what is the value of x ? \nOptions: a ) - 2 , b ) - 1 , c ) 0 , d ) 1 , e ) 2", "output": [ "c" ] }, { "id": "task1420-02c7b778687243a98f4a7514ee74f08c", "input": "Problem: in an apartment building that has 441 units , 4 out of every 7 units are currently rented , including 1 / 5 of the one - bedroom units . if , of the rented apartments , there is a 6 : 1 ratio of two - bedroom units to one - bedroom units , and the building only consists of two - bedroom and one - bedroom units , how many two - bedroom units are not rented ? \nOptions: a ) 45 , b ) 70 , c ) 100 , d ) 105 , e ) 140", "output": [ "a" ] }, { "id": "task1420-b48c7785f1114e42a7a7aeb0525b40bd", "input": "Problem: the average mark of the students of a class in a particular exam is 80 . if 5 students whose average mark in that exam is 20 are excluded , the average mark of the remaining will be 92 . find the number of students who wrote the exam . \nOptions: a ) 15 , b ) 25 , c ) 30 , d ) 45 , e ) 55", "output": [ "c" ] }, { "id": "task1420-20f11087e3f1427ba40363c9c0f89eda", "input": "Problem: xy = 1 then what is ( 7 ^ ( x + y ) ^ 2 ) / ( 7 ^ ( x - y ) ^ 2 ) \nOptions: a ) 2401 , b ) 4 , c ) 8 , d ) 16 , e ) 32", "output": [ "a" ] }, { "id": "task1420-7c4e4317cb144c1cbee07a8642734526", "input": "Problem: what is the unit digit in the product ( 3 ^ 68 x 6 ^ 59 x 7 ^ 71 ) ? \nOptions: a ) 1 , b ) 2 , c ) 4 , d ) 6 , e ) none of them", "output": [ "c" ] }, { "id": "task1420-66037dd3932146519bf10306c7620d05", "input": "Problem: if the average ( arithmetic mean ) of a and b is 215 , and the average of b and c is 160 , what is the value of a − c ? \nOptions: a ) − 220 , b ) − 100 , c ) 100 , d ) 110 , e ) it can not be determined from the information given", "output": [ "d" ] }, { "id": "task1420-a020efe1ce764b739ff292c8ac75728e", "input": "Problem: if 2 x = 4 y = z , what is x - y , in terms of z ? \nOptions: a ) z / 4 , b ) z / 2 , c ) z , d ) 2 z , e ) 4 z", "output": [ "a" ] }, { "id": "task1420-213152bb346d4bada33c6cd13e2064b5", "input": "Problem: company s produces two kinds of stereos : basic and deluxe . of the stereos produced by company s last month , 2 / 3 were basic and the rest were deluxe . if it takes 1.2 as many hours to produce a deluxe stereo as it does to produce a basic stereo , then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos ? \nOptions: a ) 3 / 8 , b ) 14 / 31 , c ) 7 / 15 , d ) 17 / 35 , e ) 1 / 2", "output": [ "a" ] }, { "id": "task1420-772a0ceb3a5d40f6ba53749c34f62f68", "input": "Problem: the batting average of a particular batsman is 60 runs in 46 innings . if the difference in his highest and lowest score is 160 runs and his average excluding these two innings is 58 runs , find his highest score . \nOptions: a ) 184 , b ) 367 , c ) 269 , d ) 177 , e ) 191", "output": [ "a" ] }, { "id": "task1420-c4ba936d41f64fa990268fc20d2582ba", "input": "Problem: a store sells 2 kinds of jelly beans mixes ( a and b ) both made up of red and yellow beans . if b contains 20 % more red beans than a but 10 % fewer yellow beans . and jar a contains twice as many red beans as yellow by what percent is the number of beans in jar b larger than the number in jar a \nOptions: a ) 5 , b ) 6 , c ) 8 , d ) 9 , e ) 10", "output": [ "e" ] }, { "id": "task1420-b89041ca48434856aaf5ad76fc55ca68", "input": "Problem: one - fourth of the workers in palabras bookstore have read the latest book by j . saramago , and 5 / 8 of the workers have read the latest book by h . kureishi . the number of workers that have read neither book is one less than the number of the workers that have read the latest saramago book and have not read the latest kureishi book . if there are 72 workers in the palabras bookstore , how many of them have read both books ? \nOptions: a ) 13 , b ) 12 , c ) 9 , d ) 8 , e ) 4", "output": [ "e" ] }, { "id": "task1420-b574d69aee794d01b16aa52d0315d6dc", "input": "Problem: if p ( a ) = 2 / 15 , p ( b ) = 4 / 15 , and p ( a â ˆ ª b ) = 12 / 15 find p ( b | a ) \nOptions: a ) 1 / 2 , b ) 2 / 3 , c ) 3 / 2 , d ) 4 / 5 , e ) 6", "output": [ "e" ] }, { "id": "task1420-2aa45a9badd7400c9382656fc4d2b76b", "input": "Problem: when positive integer x is divided by positive integer y , the remainder is 9 . if x / y = 96.45 , what is the value of y ? \nOptions: a ) 96 , b ) 75 , c ) 48 , d ) 20 , e ) 12", "output": [ "d" ] }, { "id": "task1420-8de52915b4af40a1a6e59f345b0ab077", "input": "Problem: if jake loses 8 pounds , he will weigh twice as much as his sister kendra . together they now weigh 290 pounds . what is jake ’ s present weight , in pounds ? \nOptions: a ) 180 , b ) 184 , c ) 188 , d ) 192 , e ) 196", "output": [ "e" ] }, { "id": "task1420-dc12b00ddf864d91b4ae982747f6d945", "input": "Problem: the price of a certain painting increased by 25 % during the first year and decreased by 15 % during the second year . the price of the painting at the end of the 2 - year period was what percent of the original price ? \nOptions: a ) 109 % , b ) 106.25 % , c ) 120 % , d ) 115 % , e ) 110 %", "output": [ "b" ] }, { "id": "task1420-00f0dc61f62641efb529ad69dd555728", "input": "Problem: what is the greatest positive integer x such that 3 ^ x is a factor of 9 ^ 5 ? \nOptions: a ) 5 , b ) 9 , c ) 10 , d ) 20 , e ) 30", "output": [ "c" ] }, { "id": "task1420-cd37366b8e024f5ea43850a1e44aedbd", "input": "Problem: 122 * 252 - 12234 = ? \nOptions: a ) 15310 , b ) 18870 , c ) 24510 , d ) 18510 , e ) 42510", "output": [ "d" ] }, { "id": "task1420-fbef17f93cdb45aa9d78f1218a305d0b", "input": "Problem: a small pool filled only with water will require an additional 500 gallons of water in order to be filled to 80 % of its capacity . if pumping in these additional 500 gallons of water will increase the amount of water in the pool by 30 % , what is the total capacity of the pool in gallons ? \nOptions: a ) 1000 , b ) 1250 , c ) 1300 , d ) 1600 , e ) 1875", "output": [ "e" ] }, { "id": "task1420-d0dadd8c482147c9b170fc3dad841fad", "input": "Problem: if a certain toy store ' s revenue in november was 2 / 5 of its revenue in december and its revenue in january was 1 / 2 of its revenue in november , then the store ' s revenue in december was how many times the average ( arithmetic mean ) of its revenues in november and january ? \nOptions: a ) 1 / 4 , b ) 1 / 2 , c ) 10 / 3 , d ) 2 , e ) 4", "output": [ "c" ] }, { "id": "task1420-09d94f19c9fc4a76aaad5b14a5acd530", "input": "Problem: a palindrome is a number that reads the same forward and backward , such as 242 . how many even 9 - digit numbers are palindromes ? \nOptions: a ) 40 , b ) 40000 , c ) 500 , d ) 5,000 , e ) 100,000", "output": [ "b" ] }, { "id": "task1420-f6e5b411b8dd4973914d7bdc8bdff867", "input": "Problem: the ratio between x and y is 7 / 5 ; x is multiplied by y and y is multiplied by x , what is the ratio between the new values of x and y ? \nOptions: a ) 7 / 5 , b ) 5 / 7 , c ) 1 , d ) 49 / 25 , e ) it can not be determined", "output": [ "c" ] }, { "id": "task1420-9ab66b67c55244d4a68a9043e9e64eec", "input": "Problem: a jar of 264 marbles is divided equally among a group of marble - players . if 2 people join the group , each one would receive 1 marble less . how many people are there in the group today ? \nOptions: a ) 20 , b ) 21 . , c ) 22 , d ) 23 , e ) 24", "output": [ "e" ] }, { "id": "task1420-93a91fa5bc6841c2b8886178cdcf96d6", "input": "Problem: a group of 55 adults and 70 children go for trekking . if there is meal for either 70 adults or 90 children and if 42 adults have their meal , find the total number of children that can be catered with the remaining food . \nOptions: a ) 33 , b ) 54 , c ) 36 , d ) 17 , e ) 01", "output": [ "c" ] }, { "id": "task1420-f7b4f9ad860c474b8494133099fb145f", "input": "Problem: how many odd prime numbers are there less than 100 ? \nOptions: a ) 78 , b ) 5 , c ) 24 , d ) 12 , e ) 15", "output": [ "c" ] }, { "id": "task1420-8927099dcd994fa5b442d3d98c4c4278", "input": "Problem: a certain psychologist charges $ 20 more for the first hour of therapy than for each additional hour . if the total charge to a patient who receives 5 hours of therapy is $ 300 , what is the total charge to a patient who receives only 3 hours of therapy ? \nOptions: a ) $ 120 , b ) $ 135 , c ) $ 150 , d ) $ 165 , e ) $ 188", "output": [ "e" ] }, { "id": "task1420-14002d8b258e4d46b9bd9f05e1df6e38", "input": "Problem: every letter in the alphabet has a number value that is equal to its place in the alphabet . thus , the letter a has a value of 1 , the letter b has a value of 2 , the letter c has a value of 3 , etc . . . the number value of a word is obtained by adding up the value of the letters in the word and then multiplying that sum by the length of the word . what is the number value of the word ` ` dog ' ' ? \nOptions: a ) 72 , b ) 75 , c ) 78 , d ) 81 , e ) 84", "output": [ "c" ] }, { "id": "task1420-d840c84d55b4461295af30fd1f60146e", "input": "Problem: find the next term 88 , 62 , . . ? \nOptions: a ) - 2 , b ) - 4 , c ) - 6 , d ) - 8 , e ) - 9", "output": [ "b" ] }, { "id": "task1420-54d1315c54cd4c3aa24119aad51f2786", "input": "Problem: 10 camels cost as much as 24 horses , 16 horses cost as much as 4 oxen and 6 oxen as much as 4 elephants . if the cost of 10 elephants is rs . 170000 , find the cost of a camel ? \nOptions: a ) rs . 9800 , b ) rs . 3800 , c ) rs . 9800 , d ) rs . 6800 , e ) rs . 6880", "output": [ "d" ] }, { "id": "task1420-15c20aa9f01b4715b0a75fd638d20d1b", "input": "Problem: in a forest 150 deer were caught , tagged with electronic markers , then released . a week later , 50 deer were captured in the same forest . of these 50 deer , it was found that 5 had been tagged with the electronic markers . if the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest , and if no deer had either left or entered the forest over the preceding week , what is the approximate number of deer in the forest ? \nOptions: a ) 150 , b ) 750 , c ) 1,250 , d ) 1,500 , e ) 2,500", "output": [ "d" ] }, { "id": "task1420-75f8af3533dc48dda4486aade5d74cd8", "input": "Problem: the difference between the ages of two persons is 20 years . fifteen years ago , the elder one was twice as old as the younger one . the present age of the younger person is ? \nOptions: a ) 30 , b ) 35 , c ) 25 , d ) 28 , e ) 32", "output": [ "b" ] }, { "id": "task1420-2257d8120e0041ada5a695fdd8398714", "input": "Problem: what is the 26 th digit to the right of the decimal point in the decimal form of 6 / 11 ? \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "b" ] }, { "id": "task1420-541d590d17574d799dff35fed4a4c3d9", "input": "Problem: what is the remainder of w = 3 ^ 19 when divided by 10 ? \nOptions: a ) 0 , b ) 1 , c ) 5 , d ) 7 , e ) 9", "output": [ "d" ] }, { "id": "task1420-adf15a60d5a842339f82be3e59de80e0", "input": "Problem: if 1 + 2 + 3 + . . . + n = n ( n + 1 ) , then 3 ( 1 + 3 + 5 + . . . . + 69 ) = ? \nOptions: a ) 3675 , b ) 3575 , c ) 3475 , d ) 3375 , e ) 3275", "output": [ "a" ] }, { "id": "task1420-e00fad30999a49888f471711d531474c", "input": "Problem: if the price of a certain bond on may 1 st was 3 / 4 the price of the bond on june 1 st and the price of the bond on july 1 st was 25 % greater than the price of the bond on may 1 st . then the price of the bond on june 1 st st was what percent of the average ( arithmetic mean ) price of the bond on may 1 st and july 1 st ? \nOptions: a ) 50 % , b ) 75 % , c ) 118.5 % , d ) 133 1 / 3 % , e ) 150 %", "output": [ "c" ] }, { "id": "task1420-4601780930f34748b969a4f52ec1f538", "input": "Problem: in a company with 48 employees , some part - time and some full - time , exactly ( 1 / 3 ) of the part - time employees and ( 1 / 4 ) of the full - time employees take the subway to work . what is the greatest possible number of employees who take the subway to work ? \nOptions: a ) 12 , b ) 13 , c ) 14 , d ) 15 , e ) 16", "output": [ "d" ] }, { "id": "task1420-88ff2357d8b547e4a3ec0f0b5a6866c6", "input": "Problem: a , b , and c are integers and a < b < c . s is the set of all integers from a to b , inclusive . q is the set of all integers from b to c , inclusive . the median of set s is ( 3 / 4 ) * b . the median of set q is ( 7.5 / 8 ) * c . if r is the set of all integers from a to c , inclusive , what fraction of c is the median of set r ? \nOptions: a ) 3 / 8 , b ) 1 / 2 , c ) 11 / 16 , d ) 23 / 32 , e ) 3 / 4", "output": [ "d" ] }, { "id": "task1420-aa1f18bc4b7c4868a733ec7aa315b850", "input": "Problem: a , b and c rent a pasture . if a puts 10 oxen for 7 months , b puts 12 oxen for 5 months and c puts 15 oxen for 3 months for grazing and the rent of the pasture is rs . 140 , then how much amount should c pay as his share of rent ? \nOptions: a ) 35 , b ) 45 , c ) 25 , d ) 36 , e ) 55", "output": [ "d" ] }, { "id": "task1420-83e98c19050b496fa192509ba67c373f", "input": "Problem: a is the hundreds digit of the 3 digit integer x , b is the tens digit of x , and c is the units digit of x . 2 a = b = 4 c , and a > 0 . what is the difference between the two greatest possible values of x ? tip : dont stop till you have exhausted all answer choices to arrive at the correct one . \nOptions: a ) 124 , b ) 241 , c ) 394 , d ) 421 , e ) 842", "output": [ "b" ] }, { "id": "task1420-9c5f113c4bca4a7a86716e9dde2d480d", "input": "Problem: for the past n days , the average ( arithmetic mean ) daily production at a company was 50 units . if today ' s production of 110 units raises the average to 55 units per day , what is the value of n ? \nOptions: a ) 9 , b ) 11 , c ) 13 , d ) 15 , e ) 17", "output": [ "b" ] }, { "id": "task1420-fd8dae5fb9874ce1a4d533f8fbb29ff2", "input": "Problem: a company has 15 managers and 75 associates . the 15 managers have an average salary of $ 90000 . the 75 associates have an average salary of $ 30000 . what is the average salary for the company ? \nOptions: a ) $ 35,000 , b ) $ 40,000 , c ) $ 55,000 , d ) $ 65,000 , e ) $ 75,000", "output": [ "b" ] }, { "id": "task1420-2a80b09f91564937b147b8183a45969c", "input": "Problem: if 0.75 : x : : 5 : 12 , then x is equal to : \nOptions: a ) 1.12 , b ) 1.16 , c ) 1.8 , d ) 1.3 , e ) none of these", "output": [ "c" ] }, { "id": "task1420-8a6d941d6885418899e3c1d6e7aca7a6", "input": "Problem: 6 persons in an organization including x and y were to be divided in two groups of 3 members each . the total number of groups containing both x and y is what fraction of the total number of groups which can be formed ? \nOptions: a ) 1 / 4 , b ) 1 / 70 , c ) 3 / 14 , d ) 3 / 10 , e ) 11 / 14", "output": [ "d" ] }, { "id": "task1420-f2bf8d800cbc42c0a9a95829f33eb953", "input": "Problem: . on dividing a number by 357 , we get 36 as remainder . on dividing the same number 17 , what will be the remainder ? \nOptions: a ) 0 , b ) 3 , c ) 5 , d ) 8 , e ) 2", "output": [ "e" ] }, { "id": "task1420-1b6fc42c4d8644069ee811834c2b51bc", "input": "Problem: kiran has 85 currency notes in all , some of which were of rs . 100 denomination and the remaining of rs . 50 denomination . the total amount of all these currency notes was rs . 5000 . how much amount did she have in the denomination of rs . 50 ? \nOptions: a ) 1900 , b ) 3500 , c ) 4000 , d ) 4200 , e ) 4450", "output": [ "b" ] }, { "id": "task1420-c2c343652d014f85bc74b1443bae52e1", "input": "Problem: a batsman scored 90 runs which included 2 boundaries and 5 sixes . what percent of his total score did he make by running between the wickets . \nOptions: a ) 40 % , b ) 50 % , c ) 57 % , d ) 60 % , e ) 80 %", "output": [ "c" ] }, { "id": "task1420-f42fd70f4ea34daaa9391c60e3f98d6a", "input": "Problem: 12 + 13 + 14 + . . . 51 + 52 + 53 + 54 = ? \nOptions: a ) 1419 , b ) 1362 , c ) 1363 , d ) 1364 , e ) 1365", "output": [ "a" ] }, { "id": "task1420-f8b72f64f77b4d8f8fddd1f4b50fefac", "input": "Problem: the sum of three consecutive multiples of 3 is 108 . what is the largest number ? \nOptions: a ) 36 , b ) 39 , c ) 33 , d ) 30 , e ) 42", "output": [ "b" ] }, { "id": "task1420-5f9e1c89d8a5447ea2479b6ae1fe606a", "input": "Problem: a rower whose speed is 6 km / hr in still water rows to a certain point upstream and back to the starting point in a river which flows at 3 km / hr . what is the rower ' s average speed ( in km / hr ) for the total journey ? \nOptions: a ) 3.9 , b ) 4.2 , c ) 4.5 , d ) 4.8 , e ) 5.1", "output": [ "c" ] }, { "id": "task1420-fcfb7e8c7a6b4b29b26451efc7e56866", "input": "Problem: ( ( ( 13 ! ) ^ 16 ) - ( ( 13 ! ) ^ 8 ) ) / ( ( ( 13 ! ) ^ 8 ) + ( ( 13 ! ) ^ 4 ) ) = a then what is the units digit for a / ( ( 13 ! ) ^ 4 ) = \nOptions: a ) 7 , b ) 8 , c ) 9 , d ) 6 , e ) 5", "output": [ "c" ] }, { "id": "task1420-4894d13dd85c47908a87b13fd05221f5", "input": "Problem: the value of x + x ( x ^ x ) when x = 10 is \nOptions: a ) 100000000010 , b ) 10000000010 , c ) 10000000000 , d ) 1200000000 , e ) 12000000010", "output": [ "a" ] }, { "id": "task1420-ccfbc9284984430a8e9f0d8d8bf0be48", "input": "Problem: a soccer store typically sells replica jerseys at a discount of 30 percent to 50 percent off list price . during the annual summer sale , everything in the store is an additional 20 percent off the original list price . if a replica jersey ' s list price is $ 80 , approximately what r percent of the list price is the lowest possible sale price ? \nOptions: a ) 20 , b ) 25 , c ) 30 , d ) 40 , e ) 50", "output": [ "d" ] }, { "id": "task1420-3826cd9255f34271b6de33be39068dc9", "input": "Problem: a 1 , a 5 , a 13 ( terms of ap ) are in gp and a 6 + a 15 = 63 . find a 23 \nOptions: a ) 181 / 3 , b ) 182 / 3 , c ) 183 / 3 , d ) 184 / 3 , e ) 182 / 5", "output": [ "b" ] }, { "id": "task1420-21bff0b1e9a34060af394ba8a3a252d7", "input": "Problem: given a two - digit number , the unit ' s digit exceeds its 10 ' s digit by 5 and the product of the given number and the sum of its digits is equal to 90 , which of the options is the number ? \nOptions: a ) 27 , b ) 16 , c ) 38 , d ) 61 , e ) 83", "output": [ "a" ] }, { "id": "task1420-2576210a0a6c4ae4b6419d5645072f65", "input": "Problem: the total number of digit used in numbering the pages of a book having 366 pages , is : \nOptions: a ) 732 , b ) 990 , c ) 1098 , d ) 1305 , e ) none of these", "output": [ "b" ] }, { "id": "task1420-25484455a27346db8c20c69bf694ea7a", "input": "Problem: a grocer is storing soap boxes in cartons that measure 30 inches by 42 inches by 60 inches . if the measurement of each soap box is 7 inches by 6 inches by 5 inches , then what is the maximum number of soap boxes that can be placed in each carton ? \nOptions: a ) 360 , b ) 252 , c ) 280 , d ) 300 , e ) 420", "output": [ "a" ] }, { "id": "task1420-9c84dceb9e3b45edb184cfe73256b814", "input": "Problem: a committee is reviewing a total of 20 x black - and - white films and 6 y color films for a festival . if the committee selects y / x % of the black - and - white films and all of the color films , what fraction e of the selected films are in color ? \nOptions: a ) 1 / 130 , b ) 1 / 5 , c ) 3 / 13 , d ) 10 / 13 , e ) 30 / 31", "output": [ "e" ] }, { "id": "task1420-be3675e6d8b24faeb435467935f9647b", "input": "Problem: the difference between two numbers is 1356 . when the larger number is divided by the smaller one , the quotient is 6 and the remainder is 15 . the smaller number is \nOptions: a ) 240 , b ) 270 , c ) 295 , d ) 360 , e ) 340", "output": [ "b" ] }, { "id": "task1420-a03784a7df864b82a3526f272fbb1d59", "input": "Problem: a number divided by 34 leaves remainder 37 what is the remainder when same number divided by 9 \nOptions: a ) 7 , b ) 8 , c ) 9 , d ) 0 , e ) 1", "output": [ "d" ] }, { "id": "task1420-9b300de4bc2f4427b67b2921bd12cc5f", "input": "Problem: what is the remainder when 1250 * 1040 * 1057 * 1145 is divided by 32 ? \nOptions: a ) 3 , b ) 5 , c ) 0 , d ) 2 , e ) 9", "output": [ "c" ] }, { "id": "task1420-54bff9a405db4d0fb77d6445563bfefd", "input": "Problem: what is the average of first 21 multiples of 5 ? \nOptions: a ) a ) 70 , b ) b ) 77 , c ) c ) 55 , d ) d ) 81 , e ) e ) 82", "output": [ "c" ] }, { "id": "task1420-fba2b5dcb79146fa9347252bfacddb05", "input": "Problem: the difference of 2 digit number & the number obtained by interchanging the digits is 36 . what is the difference the sum and the number if the ratio between the digits of the number is 1 : 2 ? \nOptions: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 12", "output": [ "b" ] }, { "id": "task1420-1ed5001424354e9890796839e5ed4b03", "input": "Problem: evaluate ( 51 + 52 + 53 + . . . + 100 ) \nOptions: a ) 3775 , b ) 3665 , c ) 3456 , d ) 3459 , e ) 3569", "output": [ "a" ] }, { "id": "task1420-2ba783b4fa5745c78e0dae81ee34cdca", "input": "Problem: if p = 775 × 778 × 781 , what is the remainder when p is divided by 14 ? \nOptions: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10", "output": [ "a" ] }, { "id": "task1420-f2540eb9c554467d9854dedfb5512799", "input": "Problem: if the number of white balls in a box are 6 times the black balls , which of the below is the total number of balls , if there are 8 black balls in the box ? \nOptions: a ) a - 56 , b ) b - 57 , c ) c - 58 , d ) d - 59 , e ) e - 60", "output": [ "a" ] }, { "id": "task1420-e18fe29b78b4451f924fc8370e515292", "input": "Problem: if x dollars is invested at 10 percent for one year and y dollars is invested at 8 percent for one year , the annual income from the 10 percent investment will exceed the annual income from the 8 percent investment by $ 38 . if $ 2,000 is the total amount invested , how much is invested at 8 percent ? \nOptions: a ) $ 700 , b ) $ 800 , c ) $ 900 , d ) $ 1100 , e ) $ 1200", "output": [ "c" ] }, { "id": "task1420-33e7d801a02449b293339166ccb687e6", "input": "Problem: if 5 x = 6 y = z , what is x + y , in terms of z ? \nOptions: a ) z / 2 , b ) 2 z , c ) z / 3 , d ) 11 z / 30 , e ) z / 9", "output": [ "d" ] }, { "id": "task1420-998e3b109fa9436f98aa69906e3d08db", "input": "Problem: if 9 a - b = 10 b + 65 = - 12 b - 2 a , what is the value of 11 a + 11 b ? \nOptions: a ) - 11 , b ) - 5 , c ) 0 , d ) 5 , e ) 11", "output": [ "c" ] }, { "id": "task1420-d5c0de51e4474aaaaa912df3defbc379", "input": "Problem: when positive integer n is divided by 3 , the remainder is 2 . when n is divided by 5 , the remainder is 5 . how many values less than 100 can n take ? \nOptions: a ) 0 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "a" ] }, { "id": "task1420-b96206e2e4a74f38b35e8b7ca119aaa6", "input": "Problem: the product of two numbers is 192 and the sum of these two numbers is 28 . what is the smaller of these two numbers ? \nOptions: a ) 10 , b ) 12 , c ) 14 , d ) 15 , e ) 16", "output": [ "b" ] }, { "id": "task1420-4507813484b14bbaa3ccbfdbc99b42c3", "input": "Problem: the sum of the non - prime numbers between 10 and 20 , non - inclusive , is \nOptions: a ) 60 , b ) 75 , c ) 90 , d ) 105 , e ) 120", "output": [ "b" ] }, { "id": "task1420-41dc5f14078d4d4bb6a486cf9c54f817", "input": "Problem: if w is the product of the integers from 1 to 30 , inclusive , what is the greatest integer k for which 3 ^ k is a factor of w ? \nOptions: a ) 10 , b ) 12 , c ) 14 , d ) 16 , e ) 18", "output": [ "c" ] }, { "id": "task1420-8e1f9003ad6849e380450cbc1e5d62a0", "input": "Problem: in a class of 25 students , 3 students did not borrow any books from the library , 11 students each borrowed 1 book , 6 students each borrowed 2 books , and the rest borrowed at least 3 books . if the average number of books per student was 2 , what is the maximum number of books any single student could have borrowed ? \nOptions: a ) 12 , b ) 13 , c ) 14 , d ) 15 , e ) 16", "output": [ "d" ] }, { "id": "task1420-9d44f6575b5440ba8e8db94985312bac", "input": "Problem: find out the c . i on rs . 3000 at 4 % p . a . compound half - yearly for 1 1 / 2 years \nOptions: a ) 183.62 , b ) 106.07 , c ) 106.04 , d ) 106.03 , e ) 186.01", "output": [ "a" ] }, { "id": "task1420-66093015a761451ba2bf82fa6c81fa9e", "input": "Problem: a certain telescope increases the visual range at a particular location from 60 kilometers to 150 kilometers . by what percent is the visual range increased by using the telescope ? \nOptions: a ) 30 % , b ) 33 1 / 2 % , c ) 40 % , d ) 60 % , e ) 150 %", "output": [ "e" ] }, { "id": "task1420-6accd896247947e68f3ff8c3fd9e4666", "input": "Problem: ( 4300331 ) - ? = 2535618 \nOptions: a ) 1865113 , b ) 1775123 , c ) 1764713 , d ) 1675123 , e ) none of them", "output": [ "c" ] }, { "id": "task1420-dbf0582016a843fc9ed657578e05b3b5", "input": "Problem: a certain car uses one gallon of gasoline every 40 miles when it travels on highway , and one gallon of gasoline every 20 miles when it travels in the city . when a car travels 4 miles on highway and 4 additional miles in the city , it uses what percent more gasoline than if it travels 8 miles on the highway ? \nOptions: a ) 15 % , b ) 20 % , c ) 22.5 % , d ) 25 % , e ) 50 %", "output": [ "e" ] }, { "id": "task1420-d7b2cc26120d41e0815fb17512db8b4a", "input": "Problem: if 1 / ( x + 2 ) + 1 / ( x - 2 ) = 1 / ( x + 2 ) , what is the value of x ? \nOptions: a ) - 1 , b ) 2 , c ) 1 , d ) - 2 , e ) 0", "output": [ "d" ] }, { "id": "task1420-d4dd79e3245b468f930359784aa496c3", "input": "Problem: the number of boxes in a warehouse can be divided evenly into 5 equal shipments by boat or 24 equal shipments by truck . what is the smallest number of boxes that could be in the warehouse ? \nOptions: a ) 27 , b ) 33 , c ) 54 , d ) 81 , e ) 120", "output": [ "e" ] }, { "id": "task1420-faa4faef050d4eae9decb5a7eb559c8f", "input": "Problem: find the value of ( √ 1.21 ) / ( √ 0.81 ) + ( √ 0.81 ) / ( √ 0.49 ) is \nOptions: a ) 195 / 63 , b ) 2.5 , c ) 155 / 63 , d ) 125 / 63 , e ) 185 / 63", "output": [ "b" ] }, { "id": "task1420-52260f2f65a540b8bea7271bbcea3392", "input": "Problem: in a hostel there were 100 students . to accommodate 25 more students the average is decreased by rupees 10 . but total expenditure increased by rs . 500 . find the total expenditure of the hostel now ? \nOptions: a ) 7500 , b ) 5000 , c ) 5400 , d ) 7000 , e ) 8500", "output": [ "a" ] }, { "id": "task1420-5deadc80862c4f758a8cd9298a9086e7", "input": "Problem: find the value for x from below equation : x / 3 = - 5 ? \nOptions: a ) - 66 , b ) 13 , c ) - 15 , d ) - 31 , e ) 40", "output": [ "c" ] }, { "id": "task1420-887301cfb04a48d6ab32f1038b68b676", "input": "Problem: the average age of 50 students in a class is 14 years . if the age of teacher is also included , the average becomes 15 years , find the age of the teacher . \nOptions: a ) 30 , b ) 65 , c ) 60 , d ) 55 , e ) 56", "output": [ "b" ] }, { "id": "task1420-95c7e8067dfe4933aaaf2471832dd134", "input": "Problem: if x + y + z = 1 . then xy + yz + zx is \nOptions: a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 4 , d ) 1 / 5 , e ) 1 / 6", "output": [ "c" ] }, { "id": "task1420-98227b95c2ea437a96372eedb33684a1", "input": "Problem: williams works at a resort from the beginning of march to the end of september . during the month of august this past year , he made 8 times the average ( arithmetic mean ) of his monthly totals in tips for the other months . his total tips for august were what fraction of his total tips for all of the months he worked ? \nOptions: a ) 3 / 7 , b ) 5 / 7 , c ) 6 / 7 , d ) 1 / 7 , e ) 4 / 7", "output": [ "e" ] }, { "id": "task1420-9f120783a61b472abc1c75427163327e", "input": "Problem: evaluate 100 ^ 2 - 99 ^ 2 + 98 ^ 2 - 97 ^ 2 + 96 ^ 2 - 95 ^ 2 + . . . + 2 ^ 2 - 1 ^ 2 = ? \nOptions: a ) 3043 , b ) 5050 , c ) 5176 , d ) 9356 , e ) 4890", "output": [ "b" ] }, { "id": "task1420-b72db38e631f45adb86b584594af9561", "input": "Problem: set a of 8 positive integers may have the same element and have 37 . and set b of 8 positive integers must have different elements and have 37 . when m and n are the greatest possible differences between 37 and other elements ’ sums in set a and set b , respectively , m - n = ? \nOptions: a ) 21 , b ) 22 , c ) 23 , d ) 25 , e ) 26", "output": [ "b" ] }, { "id": "task1420-02a18a88f50b4c01b3e53544df1d0971", "input": "Problem: the average age of a , b and c is 26 years . if the average age of a and c is 29 years , what is the age of b in years ? \nOptions: a ) 19 , b ) 35 , c ) 20 , d ) 32 , e ) 21", "output": [ "c" ] }, { "id": "task1420-6b0f5d22ff524aefb240c8531d2e06f9", "input": "Problem: a certain fraction is equivalent to 2 / 5 . if the numerator of the fraction is increased by 4 and the denominator is doubled , the new fraction is equivalent to 1 / 3 . what is the difference of the numerator and denominator of the original fraction ? \nOptions: a ) 49 , b ) 9 , c ) 28 , d ) 26 , e ) 21", "output": [ "b" ] }, { "id": "task1420-a58ea347aaeb4056b4dc16dd7c7a7962", "input": "Problem: x , a , z , and b are single digit positive integers . x = 1 / 7 a . z = 1 / 7 b . ( 10 a + b ) – ( 10 x + z ) could not equal \nOptions: a ) 30 , b ) 36 , c ) 42 , d ) 63 , e ) 66", "output": [ "d" ] }, { "id": "task1420-ab96d294027f49b0963a737c8d5cfc15", "input": "Problem: of the 3 - digit integers greater than 700 , how many have two digits t that are equal to each other and the remaining digit different from the other two ? \nOptions: a ) 90 , b ) 82 , c ) 80 , d ) 45 , e ) 36", "output": [ "c" ] }, { "id": "task1420-43a414e198de48b38ee344e7f9eb88e8", "input": "Problem: hillary and eddy are climbing to the summit of mt . everest from a base camp 5000 ft from the summit . when they depart for the summit at 06 : 00 , hillary climbs at a rate of 800 ft / hr with eddy lagging behind at a slower rate of 500 ft / hr . if hillary stops 1000 ft short of the summit and then descends at a rate of 1000 ft / hr , at what time do hillary and eddy pass each other on her return trip ? \nOptions: a ) 11.0 , b ) 12.0 , c ) 13.0 , d ) 14.0 , e ) 15.0", "output": [ "b" ] }, { "id": "task1420-a2bd3995e11c42af97e14b77b618b79c", "input": "Problem: on thursday mabel handled 90 transactions . anthony handled 10 % more transactions than mabel , cal handled 2 / 3 rds of the transactions that anthony handled , and jade handled 16 more transactions than cal . how much transactions did jade handled ? \nOptions: a ) 80 , b ) 81 , c ) 82 , d ) 83 , e ) 84", "output": [ "c" ] }, { "id": "task1420-37eccaf6165d4b85928cb4f6457a9b86", "input": "Problem: how many numbers from 19 to 79 are exactly divisible by 11 ? \nOptions: a ) 5 , b ) 6 , c ) 9 , d ) 11 , e ) 12", "output": [ "b" ] }, { "id": "task1420-9f130fd08258413f932ac98c1fc2a597", "input": "Problem: how many 7 in between 1 to 100 ? \nOptions: a ) 18 , b ) 20 , c ) 22 , d ) 23 , e ) 24", "output": [ "b" ] }, { "id": "task1420-c5330c10f1ba46869ad25ed9417b1ddc", "input": "Problem: a case of 12 rolls of paper towels sells for $ 9 . the cost of one roll sold individually is $ 1 . what is the percent e of savings per roll for the 12 - roll package over the cost of 12 rolls purchased individually ? \nOptions: a ) 9 % , b ) 11 % , c ) 15 % , d ) 25 % , e ) 90 %", "output": [ "d" ] }, { "id": "task1420-0d83b855510247a993e1beead8ab229e", "input": "Problem: the average salary per month of 55 employees in a company is rs 8500 . if the managers salary is added , the average salary increases to rs 8800 , what is the salary of the manager ? \nOptions: a ) 10000 , b ) 12000 , c ) 23000 , d ) 25300 , e ) 45000", "output": [ "d" ] }, { "id": "task1420-6fd0914b0fd8427f91de03e53180df5a", "input": "Problem: the sum of the first 50 positive even integers is 2550 . what is the sum of the even integers from 602 to 700 inclusive ? \nOptions: a ) 24,550 , b ) 28,550 , c ) 32,550 , d ) 36,550 , e ) 40,550", "output": [ "c" ] }, { "id": "task1420-73fb08d53c8a45baa89541d99ac6c936", "input": "Problem: which number need to add to 7844213 to get a number exactly divisible by 549 ? \nOptions: a ) 418 , b ) 148 , c ) 448 , d ) 248 , e ) 348", "output": [ "c" ] }, { "id": "task1420-21fb4d2308d54edc8165c779e570228b", "input": "Problem: for a certain exam , a score of 60 was 2 standard deviations below mean and a score of 100 was 3 standard deviations above mean . what was the mean score for the exam ? \nOptions: a ) 74 , b ) 76 , c ) 78 , d ) 80 , e ) 82", "output": [ "b" ] }, { "id": "task1420-913db1b819614330851a72365d47f8cd", "input": "Problem: if there are 4 peanuts in a box and mary puts 4 more peanuts inside , how many peanuts are in the box ? \nOptions: a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 12", "output": [ "a" ] }, { "id": "task1420-a660374167e546d3b752a815480ca94b", "input": "Problem: if 10 people contributed a total of $ 20.00 toward a gift and each of them contributed at least $ 1.00 , then the maximum possible amount any one person could have contributed is \nOptions: a ) $ 11.00 , b ) $ 1.25 , c ) $ 5.00 , d ) $ 6.00 , e ) $ 20.00", "output": [ "a" ] }, { "id": "task1420-e82d47b063534dcd94b6418f6fe699d3", "input": "Problem: a man spends rs . 1700 per month on an average for the first 3 months , rs 1550 for next 4 months and rs . 1800 per month for the last 5 months and saves rs . 5200 a year . what is his average monthly income ? \nOptions: a ) 2025 , b ) 2125 , c ) 2225 , d ) 2325 , e ) 2425", "output": [ "b" ] }, { "id": "task1420-0ea32bc0bc9345cdb50053dce7872a85", "input": "Problem: how many positive integers less than 350 are there such that they are multiples of 17 or multiples of 18 ? \nOptions: a ) 36 , b ) 37 , c ) 38 , d ) 39 , e ) 40", "output": [ "c" ] }, { "id": "task1420-253463f0aa8c4e2ab40ccb7f43696b90", "input": "Problem: 16 is divided into two parts in such a way that seventh part of first and ninth part of second are equal . find the smallest part ? \nOptions: a ) 14 , b ) 12 , c ) 11 , d ) 8 , e ) 7", "output": [ "e" ] }, { "id": "task1420-2cce7780c57e43bc90efe4a65cdccf18", "input": "Problem: the original price of a suit is $ 150 . the price increased 20 % , and after this increase , the store published a 20 % off coupon for a one - day sale . given that the consumers who used the coupon on sale day were getting 20 % off the increased price , how much did these consumers pay for the suit ? \nOptions: a ) $ 130 , b ) $ 136 , c ) $ 144 , d ) $ 150 , e ) $ 160", "output": [ "c" ] }, { "id": "task1420-5afed12fd60748a48eaddcd2dca3441f", "input": "Problem: a cricketer scored 132 runs which included 12 boundaries and 2 sixes . what percent of his total score did he make by running between the wickets . \nOptions: a ) 46.2 % , b ) 54.54 % , c ) 63 % , d ) 70 % , e ) none of these", "output": [ "b" ] }, { "id": "task1420-b9193e169151425a9fed5e8d28c5afa3", "input": "Problem: which number can we add to 897326 to get a number exactly divisible by 456 ? \nOptions: a ) 58 , b ) 66 , c ) 74 , d ) 82 , e ) 90", "output": [ "d" ] }, { "id": "task1420-a04a78a7ee87433eb7bf4ab1ee992cd2", "input": "Problem: if an integer w is to be chosen at random from the integers 1 to 96 , inclusive , what is the probability that w ( w + 1 ) ( w + 2 ) will be divisible by 8 ? \nOptions: a ) 1 / 4 , b ) 3 / 8 , c ) 1 / 2 , d ) 5 / 8 , e ) 3 / 4", "output": [ "d" ] }, { "id": "task1420-023f9770c7d84feb9def8384df6c3e98", "input": "Problem: 4 milkmen rented a pasture . a grazed 24 cows for 3 months ; b 10 for 5 months ; c 35 cows for 4 months and d 21 cows for 3 months . if a ' s share of rent is rs . 1440 , find the total rent of the field . \nOptions: a ) 6500 , b ) 3550 , c ) 4250 , d ) 2250 , e ) 3250", "output": [ "a" ] }, { "id": "task1420-18f90ea90b4b460eaab38e37e583709c", "input": "Problem: two quarts containing 2 ⁄ 3 water and 1 ⁄ 3 formula are mixed with 3 quarts containing 3 ⁄ 8 water and 5 ⁄ 8 formula . approximately what percent of the combined 5 - quart mixture is water ? \nOptions: a ) 40 % , b ) 45 % , c ) 50 % , d ) 55 % , e ) 60 %", "output": [ "c" ] }, { "id": "task1420-511c8c307a9f4e299257b63301376802", "input": "Problem: 892.7 – 573.07 – 95.007 = ? \nOptions: a ) 224.623 , b ) 224.777 , c ) 233.523 , d ) 414.637 , e ) none of these", "output": [ "a" ] }, { "id": "task1420-96545d804689496698b2df053870a6fa", "input": "Problem: a bag contains an equal number of one rupee , 50 paise and 25 paise coins respectively . if the total value is 210 , how many coins of each type are there ? \nOptions: a ) 20 coins , b ) 50 coins , c ) 100 coins , d ) 120 coins , e ) none of these", "output": [ "d" ] }, { "id": "task1420-75b3465fe4004b44b5e0f413ac53048f", "input": "Problem: a car travels a certain distance taking 7 hrs in forward journey , during the return journey increased speed 12 km / hr takes the times 5 hrs . what is the distance traveled \nOptions: a ) 210 kms , b ) 30 kms , c ) 20 kms , d ) 40 kms , e ) none of these", "output": [ "a" ] }, { "id": "task1420-3841d9b485cb4d93a3666d2c49d79dfc", "input": "Problem: average between two sets of numbers is closer to the set withmore numbers ? \nOptions: a ) 60 , b ) 80 , c ) 98 , d ) 89 , e ) 91", "output": [ "b" ] }, { "id": "task1420-ddaa0e73f82a4174b746b4b6cac008e9", "input": "Problem: a library has an average of 175 visitors on sundays and 75 on other days . the average number of visitors per day in a month of 30 days beginning with a sunday is : \nOptions: a ) 80 , b ) 90 , c ) 100 , d ) 110 , e ) 120", "output": [ "b" ] }, { "id": "task1420-602abfae541e4e9ea3553e8384e6f704", "input": "Problem: the least number , which when divided by 12 , 31 , 20 and 54 leaves in each case a remainder of 8 is : \nOptions: a ) 448 , b ) 488 , c ) 16748 , d ) 548 , e ) 560", "output": [ "c" ] }, { "id": "task1420-ebdb08e640a04cdf931436bcf3e41993", "input": "Problem: a satellite is composed of 24 modular units , each of which is equipped with a set of sensors , some of which have been upgraded . each unit contains the same number of non - upgraded sensors . if the number of non - upgraded sensors on one unit is 1 / 8 the total number of upgraded sensors on the entire satellite , what fraction of the sensors on the satellite have been upgraded ? \nOptions: a ) 1 / 4 , b ) 1 / 5 , c ) 1 / 6 , d ) 1 / 8 , e ) 1 / 24", "output": [ "a" ] }, { "id": "task1420-84cc809332a345f4bac650a93f434e60", "input": "Problem: if a 10 percent deposit that has been paid toward the purchase of a certain product is $ 110 , how much more remains to be paid ? \nOptions: a ) $ 880 , b ) $ 990 , c ) $ 1,000 , d ) $ 1,100 , e ) $ 1,210", "output": [ "b" ] }, { "id": "task1420-42e9bba974de4226a3bbb38a399aba65", "input": "Problem: if x + ( 1 / x ) = 5 , what is the value of w = x ^ 2 + ( 1 / x ) ^ 2 ? \nOptions: a ) w = 21 , b ) w = 22 , c ) w = 23 , d ) w = 24 , e ) 27", "output": [ "c" ] }, { "id": "task1420-e94ea0139c0a49ac82d54e1f30928753", "input": "Problem: the hcf and lcm of two numbers m and n are respectively 6 and 210 . if m + n = 58 , then 1 / m + 1 / n is equal to \nOptions: a ) 1 / 35 , b ) 3 / 35 , c ) 5 / 37 , d ) 2 / 35 , e ) none", "output": [ "e" ] }, { "id": "task1420-d60e9ead660c471a97f9ca3c1e482d19", "input": "Problem: for all numbers a and b , the operationis defined by ab = ( a + 2 ) ( b – 3 ) . if 3 x = – 25 , then x = \nOptions: a ) – 15 , b ) – 2 , c ) - 3 , d ) 6 , e ) 15", "output": [ "b" ] }, { "id": "task1420-45b42f23a6b542b7bc56b6ef20f53f18", "input": "Problem: line q has the equation 5 y – 3 x = 60 . if line s is perpendicular to q , has an integer for its y - intercept , and intersects q in the second quadrant , then how many possible line s ’ s exist ? ( note : intersections on one of the axes do not count . ) \nOptions: a ) 35 , b ) 40 , c ) 45 , d ) 50 , e ) 55", "output": [ "c" ] }, { "id": "task1420-24253ccd205741d2b24e8e7347de87db", "input": "Problem: a , b and c rents a pasture for rs . 870 . a put in 12 horses for 8 months , b 16 horses for 9 months and 18 horses for 6 months . how much should b pay ? \nOptions: a ) 360 , b ) 227 , c ) 268 , d ) 198 , e ) 176", "output": [ "a" ] }, { "id": "task1420-d9d55a2f9be54ea4b90f4aa18c2daab5", "input": "Problem: how many of the positive divisors of 360 are also multiples of 4 not including 360 ? \nOptions: a ) 8 , b ) 11 , c ) 12 , d ) 15 , e ) 16", "output": [ "b" ] }, { "id": "task1420-158727be7b0146f082337366582ba5ac", "input": "Problem: in x game of billiards , x can give y 20 points in 60 and he can give z 30 points in 60 . how many points can y give z in x game of 80 ? \nOptions: a ) 30 , b ) 20 , c ) 25 , d ) 40 , e ) 50", "output": [ "b" ] }, { "id": "task1420-9d2c8c49f3ad49a285825765c61a1b74", "input": "Problem: each week , harry is paid x dollars per hour for the first 30 hours and 1.5 x dollars for each additional hour worked that week . each week , james is paid x dollars per hour for the first 40 hours and 2 x dollars for each additional hour worked that week . last week james worked a total of 50 hours . if harry and james were paid the same amount last week , how many hours did harry work last week ? \nOptions: a ) 35 , b ) 36 , c ) 37 , d ) 38 , e ) 50", "output": [ "e" ] }, { "id": "task1420-4c1dec9085e84e5192cd6b20aeb3373b", "input": "Problem: marcella has 27 pairs of shoes . if she loses 9 individual shoes , what is the greatest number of matching pairs she could have left ? \nOptions: a ) 22 , b ) 20 , c ) 19 , d ) 16 , e ) 15", "output": [ "a" ] }, { "id": "task1420-a11ab1d9cf7545ac81e11927e822b68d", "input": "Problem: there are 6 people in the elevator . their average weight is 154 lbs . another person enters the elevator , and increases the average weight to 151 lbs . what is the weight of the 7 th person . \nOptions: a ) 133 , b ) 168 , c ) 189 , d ) 190 , e ) 200", "output": [ "a" ] }, { "id": "task1420-f9f7d3265d8f4b27a7dd0587b9b38296", "input": "Problem: if the average of 10 consecutive integers is 24.5 then the 10 th integer is : - \nOptions: a ) 15 , b ) 20 , c ) 23 , d ) 29 , e ) 25", "output": [ "d" ] }, { "id": "task1420-791b70dc1b6e4abd8c143c8e297f31b3", "input": "Problem: how many distinct 3 digit number less than 10 \nOptions: a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 12", "output": [ "c" ] }, { "id": "task1420-fc3d307b632f41679373df10704142ee", "input": "Problem: the average weight of 8 person ' s increases by 2.5 kg when a new person comes in place of one of them weighing 50 kg . what might be the weight of the new person ? \nOptions: a ) 70 kg , b ) 80 kg , c ) 85 kg , d ) 90 kg , e ) 95 kg", "output": [ "a" ] }, { "id": "task1420-caddf10e0106425ba4651e4b2a916896", "input": "Problem: positive integer y is 50 percent of 50 percent of positive integer x , and y percent of x equals 100 . what is the value of x ? \nOptions: a ) 50 , b ) 100 , c ) 200 , d ) 1,000 , e ) 2,000", "output": [ "c" ] }, { "id": "task1420-abb87e8a593d4a5c9a0e30c97f25f4ad", "input": "Problem: of 40 applicants for a job , 24 had at least 4 years ' experience , 15 had degrees , and 4 had less than 4 years ' experience and did not have a degree . how many of the applicants had at least 4 years ' experience and a degree ? \nOptions: a ) 14 , b ) 3 , c ) 9 , d ) 7 , e ) 5", "output": [ "b" ] }, { "id": "task1420-8169385ad2244e0cb9d6f400c776720b", "input": "Problem: a certain mixture of nuts consists of 5 parts almonds to 2 parts walnuts , by weight . what is the number of pounds of almonds in 150 pounds of the mixture ? \nOptions: a ) 107 , b ) 84 , c ) 40 , d ) 28 , e ) 20", "output": [ "a" ] }, { "id": "task1420-b2f0b546881246dba1a7ec4cb3ff5f18", "input": "Problem: let c be defined as the sum of all prime numbers between 0 and 38 . what is c / 3 \nOptions: a ) 155 , b ) 76.6 , c ) 61 , d ) 47 , e ) 43", "output": [ "b" ] }, { "id": "task1420-eb4b78fd28ee46d990ab18350dc08a65", "input": "Problem: if n = ( 33 ) ^ 43 + ( 43 ) ^ 32 what is the units digit of n ? \nOptions: a ) 0 , b ) 2 , c ) 4 , d ) 6 , e ) 8", "output": [ "b" ] }, { "id": "task1420-52b7cabe322f470686ba90fd1209a666", "input": "Problem: what is the value of ( 44444445 * 88888885 * 44444442 + 44444438 ) / 44444444 ^ 2 \nOptions: a ) 88888883 , b ) 88888827 , c ) 16992677 , d ) 88888237 , e ) 88888182", "output": [ "a" ] }, { "id": "task1420-7827c64d9fbc43c685f3643b03a023fa", "input": "Problem: find a sum for 1 st 7 prime number ' s ? \nOptions: a ) 25 , b ) 28 , c ) 58 , d ) 34 , e ) 36", "output": [ "c" ] }, { "id": "task1420-ddff8a6a0b69475b868884c87dee3ac3", "input": "Problem: what least number must be subtracted from 2000 to get a number exactly divisible by 17 ? \nOptions: a ) 9 , b ) 8 , c ) 5 , d ) 11 , e ) 15", "output": [ "d" ] }, { "id": "task1420-c6589a89110f4adba0d7a9e9a820fca5", "input": "Problem: find the numbers which are in the ratio 3 : 2 : 4 such that the sum of the first and the second added to the difference of the third and the second is 21 ? \nOptions: a ) 4 , 3,22 , b ) 4 , 4,22 , c ) 9 , 3,32 , d ) 9 , 6,12 , e ) 9 , 2,23", "output": [ "d" ] }, { "id": "task1420-f8b45922257048e49e617de9d40c65a6", "input": "Problem: a collection of books went on sale , and 2 / 3 of them were sold for $ 2.25 each . if none of the 40 remaining books were sold , what was the total amount received for the books that were sold ? \nOptions: a ) $ 160 , b ) $ 150 , c ) $ 280 , d ) $ 200 , e ) $ 180", "output": [ "e" ] }, { "id": "task1420-135e2144c800443b9737fc5e302d8e49", "input": "Problem: a box contains 11 apples , 10 of which are red . an apple is drawn from the box and its color is noted before it is eaten . this is done a total of n times , and the probability that a red apple is drawn each time is less than 0.5 . what is the smallest possible value of n ? \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "d" ] }, { "id": "task1420-97361d3e294640c8af962fecd2502854", "input": "Problem: find 125 / 14 * 6 \nOptions: a ) 2.4658 , b ) 6.398 , c ) 1.488 , d ) 5.687 , e ) 9.652", "output": [ "c" ] }, { "id": "task1420-03a98014215b451a8ad49ce67864442e", "input": "Problem: 8.008 / 4.004 \nOptions: a ) 2 , b ) 0.02 , c ) 0.2 , d ) 20 , e ) 2", "output": [ "a" ] }, { "id": "task1420-2e4ed43e998348c3b418a76d901dd0a5", "input": "Problem: in a clothing store , there are 6 different colored neckties ( red , orange , yellow , green , blue , and indigo ) and 4 different colored shirts ( red , orange , yellow , green , blue , and indigo ) that must be packed into boxes for gifts . if each box can only fit one necktie and one shirt , what is the probability that all of the boxes will contain a necktie and a shirt of the same color ? \nOptions: a ) 719 / 720 , b ) 1 / 24 , c ) 2 / 233 , d ) 3 / 543 , e ) 1 / 720", "output": [ "b" ] }, { "id": "task1420-5ece0060679f4ec0bcd9c07575209893", "input": "Problem: a store reported total sales of $ 385 million for february of this year . if the total sales for the same month last year was $ 320 million , approximately what was the percent increase e in sales ? \nOptions: a ) 2 % , b ) 17 % , c ) 20 % , d ) 65 % , e ) 83 %", "output": [ "c" ] }, { "id": "task1420-7bd415fd557841b2bf09a0a9a7dff192", "input": "Problem: line m lies in the xy - plane . the y - intercept of line m is - 2 , and line m passes through the midpoint of the line segment whose endpoints are ( 2 , 4 ) and ( 6 , - 10 ) . what is the slope of line m ? \nOptions: a ) - 3 , b ) 1 , c ) - 1 / 3 , d ) 0 , e ) undefined", "output": [ "b" ] }, { "id": "task1420-be5725a275b34fdfa95af8f7ef628485", "input": "Problem: the instructions state that cheryl needs 4 / 19 square yards of one type of material and 2 / 13 square yards of another type of material for a project . she buys exactly that amount . after finishing the project , however , she has 4 / 26 square yards left that she did not use . what is the total amount of square yards of material cheryl used ? \nOptions: a ) 4 / 19 , b ) 1 / 9 , c ) 2 / 3 , d ) 1 1 / 9 , e ) 2 1 / 9", "output": [ "a" ] }, { "id": "task1420-06a7155ef19e4f0fba71e7ac8456c957", "input": "Problem: the sum of the first n positive perfect squares , where n is a positive integer , is given by the formula n ^ 3 / 3 + c * n ^ 2 + n / 6 , where c is a constant . what is the sum of the first 20 positive perfect squares ? \nOptions: a ) 1,010 , b ) 1,164 , c ) 1,240 , d ) 2,316 , e ) 2,870", "output": [ "e" ] }, { "id": "task1420-64a05a0d152a4c28b090cc2e4b1ac351", "input": "Problem: the average ( arithmetic mean ) of 10 , 20 , and 60 is 5 more than the average of 10 , 40 , and what number ? \nOptions: a ) 25 , b ) 60 , c ) 50 , d ) 30 , e ) 40", "output": [ "a" ] }, { "id": "task1420-fab08c5290864c88b154d9a1e87cd86c", "input": "Problem: 8 people decided to split the restaurant bill evenly . if the bill was $ 314.12 dollars , how much money did they 1 cent is the smallest unit ? \nOptions: a ) $ 314.16 , b ) $ 314.17 , c ) $ 314.18 , d ) $ 314.19 , e ) $ 314.20", "output": [ "a" ] }, { "id": "task1420-f2921cfb5d084361af98e5a3fa730ab7", "input": "Problem: if â € œ * â €  is called â € œ + â €  , â € œ / â €  is called â € œ * â €  , â € œ - â €  is called â € œ / â €  , â € œ + â €  is called â € œ - â €  . 120 / 40 â € “ 30 * 20 - 5 = ? \nOptions: a ) 178.5 , b ) 156.6 , c ) 160.4 , d ) 163.6 , e ) 164.1", "output": [ "d" ] }, { "id": "task1420-319121abb97f480384dfd5e0487dddc2", "input": "Problem: x varies inversely as square of y . given that y = 3 for x = 1 . the value of x for y = 6 will be equal to : \nOptions: a ) 3 , b ) 6 , c ) 1 / 4 , d ) 1 / 3 , e ) 9", "output": [ "c" ] }, { "id": "task1420-83642b3af03043b1b95ba087d64afce0", "input": "Problem: if 10 x = 8 y = 14 z , then what is a possible sum of positive integers x , y , and z ? \nOptions: a ) 52 , b ) 166 , c ) 84 , d ) 122 , e ) 168", "output": [ "b" ] }, { "id": "task1420-5ae5ab16b44a4ba8b9b5cf065bd4dc62", "input": "Problem: a certain number of horses and an equal number of men are going somewhere . half of the owners are on their horses ' back while the remaining ones are walking along leading their horses . if the number of legs walking on the ground is 50 , how many horses are there ? \nOptions: a ) 10 , b ) 12 , c ) 14 , d ) 16 , e ) 18", "output": [ "a" ] }, { "id": "task1420-7a37c6cb9a6e4b6999399cc845c51c66", "input": "Problem: what is the least number which should be added to 2697 so that the sum is exactly divisible by 5 , 6 , 4 , and 3 ? \nOptions: a ) 3 , b ) 11 , c ) 19 , d ) 27 , e ) 35", "output": [ "a" ] }, { "id": "task1420-808e18fe4c7b48fea910a372d6d209f1", "input": "Problem: how many positive integers less than 100 have a remainder of 6 when divided by 13 ? \nOptions: a ) 2 , b ) 7 , c ) 6 , d ) 9 , e ) 10", "output": [ "c" ] }, { "id": "task1420-6600e0ee556847f9b067a902622fedcd", "input": "Problem: what is the average ( arithmetic mean ) of the numbers 100 , 150 , 200 , 200 , 250 , and 300 ? \nOptions: a ) 100 , b ) 150 , c ) 140 , d ) 200 , e ) 250", "output": [ "d" ] }, { "id": "task1420-61bafdb8a6604475840cd210f7bf0440", "input": "Problem: in cliff ’ s impressive rock collection , there are half as many igneous rocks as sedimentary rocks . of the igneous rocks , 1 / 3 are shiny and the rest are matte , while 1 / 5 of the sedimentary rocks are shiny . if there are 30 shiny igneous rocks , how many total rocks does cliff have ? \nOptions: a ) 30 , b ) 45 , c ) 270 , d ) 90 , e ) 135", "output": [ "c" ] }, { "id": "task1420-884ec40c871a4a9dba3a730b599ed2be", "input": "Problem: the product of a and b is equal to 11 more than twice the sum of a and b . if b = 7 , what is the value of b - a ? \nOptions: a ) 2 , b ) 5 , c ) 7 , d ) 24 , e ) 35", "output": [ "a" ] }, { "id": "task1420-4550a7c8ff314b8c94405a699ef2d108", "input": "Problem: the first doughnut is priced at $ 1 and then if you purchase additional doughnuts as dozens then the price is $ 6 / dozen . what is the total number of doughnuts purchased if you paid $ 25 ? \nOptions: a ) 45 , b ) 49 , c ) 53 , d ) 57 , e ) 61", "output": [ "b" ] }, { "id": "task1420-dc583e1048234576a1a92a8139bc2a1a", "input": "Problem: the average salary of all the workers in a workshop is rs . 6750 . the average salary of 7 technicians is rs . 12000 and the average salary of the rest is rs . 6000 . the total number of workers in the workshop is ? \nOptions: a ) a ) 23 , b ) b ) 21 , c ) c ) 52 , d ) d ) 56 , e ) e ) 12", "output": [ "d" ] }, { "id": "task1420-07b67e71f4284d1e8db1b98dc5d90e13", "input": "Problem: if z is a multiple of 8902 , what is the remainder when z ^ 2 is divided by 4 ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) it depends on z .", "output": [ "a" ] }, { "id": "task1420-2c55ea3dff21458c9db41e116fb42850", "input": "Problem: the average weight of 16 boys in a class is 50.25 kgs and that of the remaining 8 boys is 45.15 kgs . find the average weight of all the boys in the class . \nOptions: a ) 47.55 kgs , b ) 48 kgs , c ) 48.55 kgs , d ) 49.25 kgs , e ) none of these", "output": [ "c" ] }, { "id": "task1420-e8e015384a8f4ea2ba5d112dea1f730e", "input": "Problem: how many numbers from 2 to 8 are exactly divisible by 2 ? \nOptions: a ) a ) 2 , b ) b ) 4 , c ) c ) 5 , d ) d ) 7 , e ) e ) 8", "output": [ "b" ] }, { "id": "task1420-287512902be84e36a02003abe3afc41f", "input": "Problem: a = 4 ^ 15 - 625 ^ 3 and a / x is an integer , where x is a positive integer greater than 1 , such that it does not have a factor p such that 1 < p < x , then how many different values for x are possible ? \nOptions: a ) none , b ) one , c ) two , d ) three , e ) four", "output": [ "c" ] }, { "id": "task1420-2fab9aa66e2b4ee7ad5e1106040ff829", "input": "Problem: when positive integer n is divided by positive integer j , the remainder is 8 . if n / j = 150.25 , what is value of j ? \nOptions: a ) 16 , b ) 26 , c ) 32 , d ) 132 , e ) 20", "output": [ "c" ] }, { "id": "task1420-30a3306fcde14a35b0c79e5b7d3db8b0", "input": "Problem: evaluate : | 5 - 8 ( 3 - 12 ) | - | 5 - 11 | = ? \nOptions: a ) 40 , b ) 50 , c ) 60 , d ) 71 , e ) 80", "output": [ "d" ] }, { "id": "task1420-216893f5f5534cff8587a08e40971b45", "input": "Problem: the least number which when increased by 6 each divisible by each one of 24 , 32 , 36 and 54 is : \nOptions: a ) 858 , b ) 859 , c ) 869 , d ) 4320 , e ) none of these", "output": [ "a" ] }, { "id": "task1420-3bd8122971be4974866211c5a2c45d24", "input": "Problem: solve the given equation 9 ^ y = 3 ^ 12 , what is y ? \nOptions: a ) 1 , b ) 3 , c ) 4 , d ) 5 , e ) 6", "output": [ "e" ] }, { "id": "task1420-99e9751ec51643288e82e612a275fdc7", "input": "Problem: if n is a positive integer and n ^ 2 is divisible by 50 , then what is the largest positive integer that must divide n ? \nOptions: a ) 5 , b ) 8 , c ) 10 , d ) 20 , e ) 25", "output": [ "c" ] }, { "id": "task1420-db390ce859ee413289deb11c63ab7fa1", "input": "Problem: at a certain paint store forest green is made by mixing 4 parts blue paint with 3 parts yellow paint . verdant green is made by mixing 4 parts yellow paint with 3 parts blue paint . how many liters of yellow paint must be added to 28 liters of forest green to change it to verdant green ? \nOptions: a ) 28 / 3 , b ) 13 / 6 , c ) 3 , d ) 4 , e ) 14 / 3", "output": [ "a" ] }, { "id": "task1420-282418361f9c415fb7a8878b3b70bda9", "input": "Problem: john want to buy a $ 100 trouser at the store , but he think it ’ s too expensive . finally , it goes on sale for $ 20 . what is the percent decrease ? \nOptions: a ) 20 % , b ) 30 % , c ) 40 % , d ) 70 % , e ) 80 %", "output": [ "e" ] }, { "id": "task1420-a29b691d589348ba9b12e533d9039f14", "input": "Problem: find large number from below question the difference of two numbers is 1365 . on dividing the larger number by the smaller , we get 8 as quotient and the 15 as remainder \nOptions: a ) 1235 , b ) 1557.9 , c ) 1378 , d ) 1635 , e ) 1489", "output": [ "b" ] }, { "id": "task1420-22360f5ffe75435f9fb99e97eaa9e894", "input": "Problem: a is two years older than b who is twice as old as c . if the total of the ages of a , b and c be 12 , the how old is b ? \nOptions: a ) 10 years , b ) 4 years , c ) 6 years , d ) 15 years , e ) 16 years", "output": [ "b" ] }, { "id": "task1420-f41d6b2a672f474ca7fc79263ffbe6fa", "input": "Problem: in a caravan , in addition to 50 hens , there are 45 goats and 8 camels with some keepers . if the total number of feet be 224 more than the number of heads in the caravan , the number of keepers is \nOptions: a ) 5 , b ) 8 , c ) 10 , d ) 15 , e ) 20", "output": [ "d" ] }, { "id": "task1420-06d97b62795b41709a0d9e8913bf31e9", "input": "Problem: if 4 a = 5 b = 30 , then 40 ab = \nOptions: a ) 900 , b ) 1800 , c ) 2250 , d ) 1650 , e ) 1250", "output": [ "b" ] }, { "id": "task1420-6c8faecf48644cf59616d15fc69dbf92", "input": "Problem: the sum of present age of abe and the age before 7 years is 29 . find the present age of abe . what will be his age after 7 years ? \nOptions: a ) 25 , b ) 26 , c ) 27 , d ) 28 , e ) 29", "output": [ "a" ] }, { "id": "task1420-aeaf4ebd87f749278df4cff69fb192dc", "input": "Problem: if 9 a - b = 10 b + 80 = - 12 b - 2 a , what is the value of 2 a + 22 b ? \nOptions: a ) - 4 , b ) - 2 , c ) - 80 , d ) 2 , e ) 4", "output": [ "c" ] }, { "id": "task1420-45f8cbfc14b14f97b953d3ebde7c4791", "input": "Problem: the rate of interest on a sum of money is 5 % p . a . for the first 3 years , 4 % p . a . for the next 4 years , and 5 % for the period beyond 7 years . if the s . i , occured on the sum for the total period of 8 years is rs . 540 / - , the sum is \nOptions: a ) 1,500 , b ) 2,000 , c ) 2,100 , d ) 2,250 , e ) 2,540", "output": [ "a" ] }, { "id": "task1420-2504097d42574afb8afd01519e8afdc2", "input": "Problem: what is the remainder when 43 * 49 is divided by 8 ? \nOptions: a ) 1 , b ) 3 , c ) 4 , d ) 5 , e ) 7", "output": [ "b" ] }, { "id": "task1420-ec933cfff19d4c2293fecda62776a36a", "input": "Problem: salesperson a ' s compensation for any week is $ 360 plus 6 percent of the portion of a ' s total sales above $ 1,000 for that week . salesperson b ' s compensation for any week is 8 percent of b ' s total sales for that week . for what amount of total weekly sales would both salespeople earn the same compensation ? \nOptions: a ) $ 21,000 , b ) $ 18,000 , c ) $ 15,000 , d ) $ 4,500 , e ) $ 4,000", "output": [ "c" ] }, { "id": "task1420-5a54bdfed4df404d8ae03548e7321f54", "input": "Problem: if 7 / w + 7 / x = 7 / y and wx = y , then the average ( arithmetic mean ) of w and x is \nOptions: a ) 1 / 2 , b ) 1 , c ) 2 , d ) 4 , e ) 8", "output": [ "a" ] }, { "id": "task1420-3258b3720ba540dcb41a6b1f00486727", "input": "Problem: a 4 digit number is such that the product of all of its digits is 126 . the sum of all the digits is equal to the 2 digit number formed by using thousands digit and tens digit ( 1000 digit in tens place & 10 digit in units place ) which in turn is equal to 19 . then difference of units and 1000 place of the number is , given that this difference is positive . \nOptions: a ) 1692 , b ) 1792 , c ) 1795 , d ) 1892 , e ) 1992", "output": [ "b" ] }, { "id": "task1420-48567f8c1cf7463ba8fe8a527e3dfb8b", "input": "Problem: if p and q are positive integers each greater than 1 , and 17 ( p + 1 ) = 25 ( q + 1 ) , what is the least possible value of p + q ? \nOptions: a ) 36 , b ) 42 , c ) 40 , d ) 46 , e ) none", "output": [ "c" ] }, { "id": "task1420-3ef80a873d2141aba3818ada01adee21", "input": "Problem: nina has exactly enough money to purchase 5 widgets . if the cost of each widget were reduced by $ 1.25 , then nina would have exactly enough money to purchase 8 widgets . how much money does nina have ? \nOptions: a ) $ 16.7 , b ) $ 24 , c ) $ 30 , d ) $ 36 , e ) $ 40", "output": [ "a" ] }, { "id": "task1420-27eac4302f644425966a82a6f4db4cdf", "input": "Problem: a bowl contains equal numbers of red , orange , green , blue , and yellow candies . kaz eats all of the green candies and half of the orange ones . next , he eats half of the remaining pieces of each color . finally , he eats red and yellow candies in equal proportions until the total number of remaining candies of all colors equals 32 % of the original number . what percent of the red candies remain ? \nOptions: a ) 27.5 % , b ) 33.3 % , c ) 35.5 % , d ) 42.5 % , e ) 47.5 %", "output": [ "d" ] }, { "id": "task1420-cd4fa70ed26a441ca60c84caa5d5ad2a", "input": "Problem: what is the probability of always having x + y > 0 , where y < 0 \nOptions: a ) 1 / 2 , b ) 1 / 8 , c ) 3 / 4 , d ) 1 / 4 , e ) none", "output": [ "d" ] }, { "id": "task1420-abf13c54f77548aca1f0f06f1b1d806d", "input": "Problem: find the 12 th term of an arithmetic progression whose first term is 2 and the common difference is 8 . \nOptions: a ) 45 , b ) 38 , c ) 44 , d ) 90 , e ) 96", "output": [ "d" ] }, { "id": "task1420-8b5485db9c064916806c1b39c89f0d2c", "input": "Problem: in a hostel , the number of students decreased by 10 % and the price of food increased by 20 % over the previous year . if each student consumes the same amount of food then by how much should the consumption of food be cut short by every student , so that the total cost of the food remains the same as that of the previous year ? \nOptions: a ) 19 % , b ) 15 % , c ) 25 % , d ) 40 % , e ) 7.4 %", "output": [ "e" ] }, { "id": "task1420-1ff240eed41442f0b596ca6171034092", "input": "Problem: find the sum 3 / 10 + 5 / 100 + 8 / 1000 in decimal form ? \nOptions: a ) 0.853 , b ) 0.358 , c ) 3.58 , d ) 8.35 , e ) none", "output": [ "b" ] }, { "id": "task1420-e86b775a712a4a288d8c05909525c75a", "input": "Problem: a certain class of students is being divided into teams . the class can either be divided into 12 teams with an equal number of players on each team or 24 teams with an equal number of players on each team . what is the lowest possible number of students in the class ? \nOptions: a ) 24 , b ) 36 , c ) 48 , d ) 60 , e ) 72", "output": [ "a" ] }, { "id": "task1420-8a70ffc830e34c17b367e96c875e6c5e", "input": "Problem: if a ( a + 2 ) = 99 and b ( b + 2 ) = 99 , where a ≠ b , then a + b = \nOptions: a ) - 2 , b ) - 5 , c ) - 8 , d ) - 10 , e ) - 12", "output": [ "a" ] }, { "id": "task1420-627647001b914aff8b9732fba13ff224", "input": "Problem: solution x is 10 percent alcohol by volume , and solution y is 30 percent alcohol by volume . how many milliliters of solution y must be added to 50 milliliters of solution x to create a solution that is 25 percent alcohol by volume ? \nOptions: a ) 150 , b ) 500 / 3 , c ) 400 , d ) 480 , e ) 600", "output": [ "a" ] }, { "id": "task1420-a961c13f45884d58b23f1367aec76edf", "input": "Problem: what is the sum of the digits of integer k , if k = ( 10 ^ 45 - 46 ) \nOptions: a ) 356 , b ) 366 , c ) 363 , d ) 396 , e ) 408", "output": [ "d" ] }, { "id": "task1420-632836b38f834c388826fa34bfd19a62", "input": "Problem: the ages of patrick and michael are in the ratio of 3 : 5 and that of michael and monica are in the ratio of 3 : 5 . if the sum of their ages is 196 , what is the difference between the ages of patrick and monica ? \nOptions: a ) 27 , b ) 64 , c ) 45 , d ) 72 , e ) 18", "output": [ "b" ] }, { "id": "task1420-3a69b65d5893441094721cfd352de447", "input": "Problem: find the value of 72516 x 9999 = m ? \nOptions: a ) 456578972 , b ) 436567874 , c ) 725087484 , d ) 725117481 , e ) 357889964", "output": [ "c" ] }, { "id": "task1420-d2e74a14ee58494686d7f25a22fa622a", "input": "Problem: the total age of a and b is 15 years more than the total age of b and c . c is how many years younger than a ? \nOptions: a ) 12 , b ) 15 , c ) c is elder than a , d ) data inadequate , e ) none", "output": [ "b" ] }, { "id": "task1420-b3cbce1ba9b44c69b7989639870b5518", "input": "Problem: x is a positive integer less than 400 . when x is divided by 7 , the remainder is 1 ; when x is divided by 3 , the remainder is 2 . how many x are there ? \nOptions: a ) 21 , b ) 22 , c ) 23 , d ) 24 , e ) 25", "output": [ "c" ] }, { "id": "task1420-49d9c7a25ad649bc80f608eadd616d7c", "input": "Problem: let p be a prime number greater than 2 and let n = 14 p . how many even numbers divide n ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "a" ] }, { "id": "task1420-5a987ccbc641463b9174097d29a1a0b1", "input": "Problem: pat , kate and mark charged a total of 216 hours to a certain project . if pat charged twice as much time to the project as kate and 1 / 3 as much times as mark , how many more hours did mark charge to the project than kate . \nOptions: a ) 18 , b ) 36 , c ) 120 , d ) 90 , e ) 108", "output": [ "c" ] }, { "id": "task1420-9a83e8eb69e84363b510cb8cd19ed3be", "input": "Problem: - 24 x 29 + 36 = ? \nOptions: a ) 2436 , b ) 2801 , c ) - 2801 , d ) - 660 , e ) none of them", "output": [ "d" ] }, { "id": "task1420-be1ef88772ab417a86ea9f3914fadf93", "input": "Problem: the price of 3 pants and 6 t - shirts is rs . 750 . with the same money one can buy 1 pant and 12 t - shirts . if one wants to buy 8 t - shirts , how much shall she have to pay ? \nOptions: a ) 150 , b ) 250 , c ) 400 , d ) 450 , e ) 550", "output": [ "c" ] }, { "id": "task1420-9aa29a90dca24ad1bf1d0a1d984088cc", "input": "Problem: a part - time employee whose hourly wage was increased by 50 percent decided to reduce the number of hours worked per week so that the employee ' s total weekly income would remain unchanged . by what percent should the number of hours worked be reduced ? \nOptions: a ) 9 , b ) 13 , c ) 17 , d ) 20 , e ) 33.33", "output": [ "e" ] }, { "id": "task1420-a747f9647bf64d60b278457b3640c879", "input": "Problem: how many 3 - digit numbers are completely divisible 6 ? \nOptions: a ) 100 , b ) 150 , c ) 200 , d ) 250 , e ) 300", "output": [ "b" ] }, { "id": "task1420-36e661e148f3455fbe0d6668b1fa5475", "input": "Problem: a = { 0 , 1 , - 3 , 6 , - 8 } b = { - 1 , 2 , - 4 , 7 } if a is a number that is randomly selected from set a , and b is a number that is randomly selected from set b , what is the probability that ab > 0 ? \nOptions: a ) 1 / 4 , b ) 1 / 3 , c ) 2 / 5 , d ) 4 / 9 , e ) 1 / 2", "output": [ "c" ] }, { "id": "task1420-21f269eed0fc464e9176307962b96a36", "input": "Problem: in a class , 6 students can speak gujarati , 15 can speak hindi and 6 can speak marathi . if two students can speak two languages and one student can speak all the 3 languages , then how many students are there in the class \nOptions: a ) 21 , b ) 22 , c ) 23 , d ) 24 , e ) 25", "output": [ "b" ] }, { "id": "task1420-6543fbfb69c94facadcecbc128fb28a7", "input": "Problem: evaluate : 13 + sqrt ( - 4 + 5 ã — 3 ã · 3 ) = ? \nOptions: a ) 12 , b ) 13 , c ) 14 , d ) 15 , e ) 16", "output": [ "c" ] }, { "id": "task1420-db7273f3337243ee91346c4219d6763c", "input": "Problem: in february wilson ’ s earnings were 40 percent of his family ’ s total income . in march wilson earned 25 percent less than in february . if the rest of his family ’ s income was the same in both months , then , in march , wilson ’ s earnings were approximately what percent x of his family ’ s total income ? \nOptions: a ) 15 % , b ) 17 % , c ) 24 % , d ) 30 % , e ) 33 %", "output": [ "e" ] }, { "id": "task1420-8cbbf891962242d7b113200777525b22", "input": "Problem: how many distinct integer values of n satisfy the inequality | | n - 3 | + 4 | ≤ 11 ? \nOptions: a ) 15 , b ) 16 , c ) 17 , d ) 8 , e ) 19", "output": [ "d" ] }, { "id": "task1420-4d19e986dc3b40d5b0df9726faf020b3", "input": "Problem: the sum of first n consecutive odd integers is n ^ 2 . what is the sum of all odd integers between 13 and 35 inclusive . \nOptions: a ) 288 , b ) 364 , c ) 410 , d ) 424 , e ) 450", "output": [ "a" ] }, { "id": "task1420-80516bcaa4114a418fa6cdee53aed955", "input": "Problem: the average monthly income of p and q is rs . 5050 . the average monthly income of q and r is rs . 6250 and the average monthly income of p and r is rs . 5200 . the monthly income of p + q + r is : \nOptions: a ) 16100 , b ) 15700 , c ) 17500 , d ) 16000 , e ) 16500", "output": [ "e" ] }, { "id": "task1420-78170f102f874887a8a54adafc1e216a", "input": "Problem: the maximum number of students among them 848 pens and 630 pencils can be distributed in such a way that each student get the same number of pens and same number of pencils ? \nOptions: a ) 10 , b ) 4 , c ) 2 , d ) 14 , e ) 16", "output": [ "c" ] }, { "id": "task1420-1972f7cf56c9431b8a4667c1c6d8501d", "input": "Problem: what does the hexa number e 78 in radix 7 . \nOptions: a ) 12455 , b ) 14153 , c ) 14256 , d ) 13541 , e ) 14541", "output": [ "d" ] }, { "id": "task1420-4d649d9aa6af4a9fa6d051bfc9f48e7e", "input": "Problem: when the positive integer y is divided by 9 , the remainder is 5 . what is the remainder when 3 y is divided by 9 ? \nOptions: a ) 0 , b ) 1 , c ) 3 , d ) 4 , e ) 6", "output": [ "e" ] }, { "id": "task1420-030dde46c7f64fcb9aed2bcfa24408ac", "input": "Problem: an engineer designed a ball so that when it was dropped , it rose with each bounce exactly one - half as high as it had fallen . the engineer dropped the ball from a 12 - meter platform and caught it after it had traveled 35.65 meters . how many times did the ball bounce ? \nOptions: a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 9", "output": [ "b" ] }, { "id": "task1420-1e0517480ca1456cafcb371bc0b1751a", "input": "Problem: a positive number x is multiplied by 10 , and this product is then divided by 3 . if the positive square root of the result of these two operations equals x , what is the value of x ? \nOptions: a ) 9 / 4 , b ) 3 / 2 , c ) 4 / 3 , d ) 2 / 3 , e ) 10 / 3", "output": [ "e" ] }, { "id": "task1420-06a2bc80b5fe4f11ac0411fbc683a4a4", "input": "Problem: if money is invested at r percent interest , compounded annually , the amount of investment will double in approximately 70 / r years . if pat ' s parents invested $ 10000 in a long term bond that pays 8 percent interest , compounded annually , what will be the approximate total amount of investment 18 years later , when pat is ready for college ? \nOptions: a ) $ 40000 , b ) $ 15000 , c ) $ 12000 , d ) $ 10000 , e ) $ 9000", "output": [ "a" ] }, { "id": "task1420-ec87a9af454c4a5d9eaba68eb08fb869", "input": "Problem: a caterer ordered 125 ice - cream bars and 125 sundaes . if the total price was $ 250.00 and the price of each ice - cream bar was $ 0.60 , what was the price of each sundae ? \nOptions: a ) $ 0.60 , b ) $ 0.80 , c ) $ 1.00 , d ) $ 1.20 , e ) $ 1.40", "output": [ "e" ] }, { "id": "task1420-82840eb54c7c47f6ab890d5c3fe589b3", "input": "Problem: 248 : 3 : : 328 : ? \nOptions: a ) 7 , b ) 5 , c ) 4 , d ) 6 , e ) none of the above", "output": [ "c" ] }, { "id": "task1420-367a411299f64105969caf4cc8fe5544", "input": "Problem: if you wish to live to be 100 years old ( hypothetically ) , you must consume 500 calories less than your average daily allowance for your age . if you are in your 60 ' s , and your average daily allowance is 2000 calories per day , how many calories are you allowed in a week ? \nOptions: a ) 7000 , b ) 10500 , c ) 14000 , d ) 12000 , e ) 3500", "output": [ "b" ] }, { "id": "task1420-3b758ea6d87e4e639b652a5c60899b00", "input": "Problem: 78 , 64 , 48 , 30 10 , ( . . . ) \nOptions: a ) - 12 number , b ) - 14 , c ) 2 , d ) 8 , e ) 6", "output": [ "a" ] }, { "id": "task1420-6fc038f0041a4497828efa851997197d", "input": "Problem: the operation is defined for all integers a and b by the equation ab = ( a - 1 ) ( b - 1 ) . if x 20 = 190 , what is the value of x ? \nOptions: a ) 10 , b ) 12 , c ) 11 , d ) 13 , e ) 14", "output": [ "c" ] }, { "id": "task1420-74db1901353440d197ec35a877a2904d", "input": "Problem: find the ones digit of 73 ^ 320 \nOptions: a ) 3 , b ) 5 , c ) 6 , d ) 7 , e ) 9", "output": [ "d" ] }, { "id": "task1420-e5de094092f247618bb0265245ea595c", "input": "Problem: change the below lagarithm log 255 = 1 / 2 to exponential form \nOptions: a ) 5 , b ) 8 , c ) 7 , d ) 10 , e ) 11", "output": [ "a" ] }, { "id": "task1420-5e940057f5914fadb8dc67c58b28645d", "input": "Problem: a box contains 6 pairs of shoes ( 12 shoes in total ) . if two shoes are selected at random , what it is the probability that they are matching shoes ? \nOptions: a ) 1 / 11 , b ) 1 / 20 , c ) 1 / 19 , d ) 1 / 10 , e ) 1 / 9", "output": [ "a" ] }, { "id": "task1420-09a437ed8b4349999d896f845c1cfc09", "input": "Problem: the sum of all the integers k such that – 25 < k < 24 is \nOptions: a ) 0 , b ) - 2 , c ) - 25 , d ) - 49 , e ) - 47", "output": [ "e" ] }, { "id": "task1420-b83ce40b201e43d4a1d992d5318be47f", "input": "Problem: a man is 46 years older than his son . in two years , his age will be twice the age of his son . the present age of his son is : \nOptions: a ) 44 years , b ) 18 years , c ) 20 years , d ) 22 years , e ) 16 years", "output": [ "a" ] }, { "id": "task1420-aa4a674e050d4d9c81d758835e0018b7", "input": "Problem: the sum of the fourth and twelfth term of an arithmetic progression is 20 . what is the sum of the first 15 terms of the arithmetic progression ? \nOptions: a ) 3 , b ) 1 / 3 , c ) 2 , d ) 9 , e ) 1 / 9", "output": [ "c" ] }, { "id": "task1420-941fc0e2b5b242869646c01541b8e494", "input": "Problem: on dividing 123 by a number , the quotient is 7 and the remainder is 4 . find the divisor . \nOptions: a ) 15 , b ) 16 , c ) 17 , d ) 18 , e ) 19", "output": [ "c" ] }, { "id": "task1420-f7f77ff139594cd6b3df29c320444ae6", "input": "Problem: a rower whose speed is 9 km / hr in still water rows to a certain point upstream and back to the starting point in a river which flows at 3 km / hr . what is the rower ' s average speed ( in km / hr ) for the total journey ? \nOptions: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11", "output": [ "b" ] }, { "id": "task1420-a4de8d19baa3436c9781099764203d57", "input": "Problem: a mixture contains milk and water in the ratio 6 : 3 . on adding 10 litters of water , the ratio of milk to water becomes 6 : 5 . the quantity of milk in the original mixture is ? \nOptions: a ) 90 , b ) 45 , c ) 110 , d ) 40 , e ) 50", "output": [ "b" ] }, { "id": "task1420-29ca97f6bd854d38bfa992839b1d02fc", "input": "Problem: a group of 6 children and 10 adults are going to the zoo . child tickets cost $ 10 , and adult tickets cost $ 16 . how much will the zoo tickets cost in all ? \nOptions: a ) $ 220 , b ) $ 340 , c ) $ 150 , d ) $ 100 , e ) $ 120", "output": [ "a" ] }, { "id": "task1420-0d51131d0b384e28a00ac4d6b1019c0c", "input": "Problem: calculate the average of all the numbers between 15 and 55 which are divisible by 4 . \nOptions: a ) 39 , b ) 33 , c ) 34 , d ) 30 , e ) 36", "output": [ "c" ] }, { "id": "task1420-2dc2889d8cb74364a0a64fa12506270a", "input": "Problem: in a mixed college 160 students are there in one class . out of this 160 students 1 / 2 students are girls . how many boys are there ? \nOptions: a ) a ) 40 , b ) b ) 60 , c ) c ) 80 , d ) d ) 120 , e ) e ) 140", "output": [ "c" ] }, { "id": "task1420-a7fbb29dcbea4c06a02cbf0008e11df6", "input": "Problem: if z is not equal to zero , and z = 6 zs − 9 s 2 − − − − − − − − √ z = 6 zs − 9 s 2 , then z equals : \nOptions: a ) s , b ) 3 s , c ) 4 s , d ) - 3 s , e ) - 4 s", "output": [ "b" ] }, { "id": "task1420-c88f414ce251485daa8ec5e53996678a", "input": "Problem: in a market , a dozen eggs cost as much as a pound of rice , and a half - liter of kerosene costs as much as 6 eggs . if the cost of each pound of rice is $ 0.24 , then how many cents does a liter of kerosene cost ? [ one dollar has 100 cents . ] \nOptions: a ) 0.20 , b ) 0.24 , c ) 20 , d ) 24 , e ) 55", "output": [ "d" ] }, { "id": "task1420-f7e74fbc0e8844a481d507ddd7928cae", "input": "Problem: the population of a town increased from 1 , 25,000 to 1 , 50,000 in a decade . the average percent increase of population per year is : \nOptions: a ) 4.37 % , b ) 2 % , c ) 6 % , d ) 8.75 % , e ) none of these", "output": [ "b" ] }, { "id": "task1420-38961f7d7e024c6a911e639891997e41", "input": "Problem: a certain family has 3 sons : richard is 6 years older than david , and david is 8 years older than scott . if in 8 years , richard will be twice as old as scott , then how old was david 7 years ago ? \nOptions: a ) 8 , b ) 10 , c ) 12 , d ) 14 , e ) 7", "output": [ "e" ] }, { "id": "task1420-5d32302908154e8aad3de38110571980", "input": "Problem: the visitors of a modern art museum who watched a certain picasso painting were asked to fill in a short questionnaire indicating whether they had enjoyed looking at the picture and whether they felt they had understood it . according to the results of the survey , all 150 visitors who did not enjoy the painting also did not feel they had understood the painting , and the number of visitors who enjoyed the painting was equal to the number of visitors who felt they had understood the painting . if 3 / 4 of the visitors who answered the questionnaire both enjoyed the painting and felt they had understood the painting , then how many visitors answered the questionnaire ? \nOptions: a ) 90 , b ) 120 , c ) 160 , d ) 360 , e ) 600", "output": [ "e" ] }, { "id": "task1420-6999be3d9a8c45a69876b5273c6028fa", "input": "Problem: if the average of 55 , 48 , 507 , 2 , 684 and y is 223 , then what is y ? \nOptions: a ) 701 , b ) 120 , c ) 42 , d ) 868 , e ) 1", "output": [ "c" ] }, { "id": "task1420-c5cf261a76a6462abe23591e17333f51", "input": "Problem: if you multiply two integers together and then add 4 , the result is 40 . which of the following could not be the sum of the two numbers ? \nOptions: a ) 12 , b ) 13 , c ) 15 , d ) 18 , e ) 20", "output": [ "d" ] }, { "id": "task1420-ff684122eb654fe488ffaac2cdb4c7ff", "input": "Problem: the average weight of a , b and c is 45 kg . if the average weight of a and b be 41 kg and that of b and c be 43 kg , then the weight of b is : \nOptions: a ) 33 kg , b ) 31 kg , c ) 32 kg , d ) 36 kg , e ) 37 kg", "output": [ "a" ] }, { "id": "task1420-e7c0125faef54c67a3cfcc2275703e4e", "input": "Problem: 12 times a number gives 156 . the number is \nOptions: a ) 11 , b ) 12 , c ) 13 , d ) none , e ) can not be determined", "output": [ "c" ] }, { "id": "task1420-12a4cd0c6ea743fbb550e2b977e31f9d", "input": "Problem: a basketball is dropped from a height of 20 feet . if it bounces back up to a height that is exactly half of its previous height , and it stops bouncing after hitting the ground for the fourth time , then how many total feet will the ball have traveled after 2 full bounces . \nOptions: a ) 50 , b ) 55 , c ) 60 , d ) 75 , e ) 100", "output": [ "e" ] }, { "id": "task1420-8e83d5a9b354406f8f7f52a3e88b3423", "input": "Problem: carol spends 1 / 4 of her savings on a stereo and 1 / 3 less than she spent on the stereo for a television . what fraction of her savings did she spend on the stereo and television ? \nOptions: a ) 1 / 4 , b ) 2 / 7 , c ) 5 / 12 , d ) 1 / 2 , e ) 7 / 12", "output": [ "c" ] }, { "id": "task1420-544d4369400842cc9f8c6ce4bb3f7fd2", "input": "Problem: the cost of a one - family home was $ 120,000 in 1980 . in 1988 , the price had increased to $ 186,000 . what was the percent increase in the cost of the home ? \nOptions: a ) 60 % , b ) 50 % , c ) 55 % , d ) 40 % , e ) 33.3 %", "output": [ "c" ] }, { "id": "task1420-879497046b564824a0cd183a15923562", "input": "Problem: how many different values of positive integer x , for which | x + 7 | < x , are there ? \nOptions: a ) 0 , b ) 2 , c ) 3 , d ) 8 , e ) 16", "output": [ "b" ] }, { "id": "task1420-a6be348fba2b4f84828fef5aaa051a1b", "input": "Problem: if n = 5 ^ 11 – 5 , what is the units digit of n ? \nOptions: a ) 0 , b ) 1 , c ) 4 , d ) 6 , e ) 8", "output": [ "a" ] }, { "id": "task1420-1def029b6f4042de8d159d29bdf95ba3", "input": "Problem: a grocer has a sale of rs . 6400 , rs . 7000 , rs . 6800 , rs . 7200 and rs . 6500 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 6500 ? \nOptions: a ) rs . 4500 , b ) rs . 4700 , c ) rs . 4800 , d ) rs . 5000 , e ) rs . 5100", "output": [ "e" ] }, { "id": "task1420-1ce0f497031746ebb18a1def8aa82235", "input": "Problem: there were 35 students in a hostel . due to the admission of 7 new students , the expenses of mess were increased by 42 per day while the average expenditure per head diminished by 1 . what was the original expenditure of the mess ? \nOptions: a ) 400 , b ) 400 , c ) 445 , d ) 465 , e ) none of the above", "output": [ "b" ] }, { "id": "task1420-9d62c64e270c4ad48d5e56dde5d16f48", "input": "Problem: in a party every person shakes hands with every other person . if there were a total of 136 handshakes in the party then what is the number of persons present in the party ? \nOptions: a ) 15 , b ) 16 , c ) 17 , d ) 18 , e ) 19", "output": [ "c" ] }, { "id": "task1420-a5da22d378114e8d83e5ac15d57877bb", "input": "Problem: the average of first four multiples of 4 is : \nOptions: a ) 3 , b ) 9 , c ) 10 , d ) 15 , e ) 17", "output": [ "c" ] }, { "id": "task1420-15319e61353e46c595f3ebb6a6cc3d29", "input": "Problem: reduce 368 / 598 to the lowest terms \nOptions: a ) 30 / 25 , b ) 28 / 13 , c ) 28 / 29 , d ) 8 / 13 , e ) none of these", "output": [ "d" ] }, { "id": "task1420-1d8fd0db74bd407baf7b0c2d40f80ee3", "input": "Problem: ( 6 ! - 4 ! ) / 5 ! = ? \nOptions: a ) 29 / 5 , b ) 28 / 3 , c ) 27 / 6 , d ) 25 / 4 , e ) 29 / 6", "output": [ "a" ] }, { "id": "task1420-8117781f0e454447951c78fffa6d2b41", "input": "Problem: find the average of first 20 multiples of 7 ? \nOptions: a ) 73.5 , b ) 70.5 , c ) 63.5 , d ) 54.5 , e ) 40.5", "output": [ "a" ] }, { "id": "task1420-1e36befa18e6430bac6851e587d98d20", "input": "Problem: 6,61 , 212,507 , _ ? \nOptions: a ) 974 , b ) 994 , c ) 954 , d ) 845 , e ) 754", "output": [ "b" ] }, { "id": "task1420-d3e44800c61a4adbaf334f1f8d929ca8", "input": "Problem: if a ( a + 7 ) = 18 and b ( b + 7 ) = 18 , where a ≠ b , then a + b = \nOptions: a ) − 48 , b ) − 2 , c ) − 7 , d ) 46 , e ) 48", "output": [ "c" ] }, { "id": "task1420-aa8beebbe56d42c3944b64d95f8428ae", "input": "Problem: in the rectangular coordinate system , if the line x = 6 y + 5 passes through points ( m , n ) and ( m + 2 , n + p ) , what is the value of p ? \nOptions: a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 4 , d ) 1 / 5 , e ) 1 / 6", "output": [ "b" ] }, { "id": "task1420-3e3ffe14cdc2421983c7e988d5c86da3", "input": "Problem: a business executive and his client are charging their dinner tab on the executive ' s expense account . the company will only allow them to spend a total of 75 $ for the meal . assuming that they will pay 7 % in sales tax for the meal and leave a 15 % tip , what is the most their food can cost ? \nOptions: a ) 69.55 $ , b ) 50.63 $ , c ) 60.95 $ , d ) 52.15 $ , e ) 53.15 $", "output": [ "c" ] }, { "id": "task1420-2aaeac7718fa4e3a933650b4b021598b", "input": "Problem: the sum of 4 th and 20 th term of a . p . is equal to the sum of 8 th , 15 th and 12 th term . find the term which is 0 \nOptions: a ) 10 , b ) 7 , c ) 11 , d ) 5 , e ) 3", "output": [ "c" ] }, { "id": "task1420-61eb31e884dd49bfad53b6e8f129340b", "input": "Problem: the average weight of 10 person ' s increases by 5 kg when a new person comes in place of one of them weighing 60 kg . what is the weight of the new person ? \nOptions: a ) 85.5 , b ) 86.5 , c ) 87.5 , d ) 110 , e ) 89.5", "output": [ "d" ] }, { "id": "task1420-53f79f3688d544a29baf6aad4ebe5025", "input": "Problem: sally has a gold credit card with a certain spending limit , and a platinum card with twice the spending limit of the gold card . currently , she has a balance on her gold card that is 1 / 3 of the spending limit on that card , and she has a balance on her platinum card that is 1 / 6 of the spending limit on that card . if sally transfers the entire balance on her gold card to her platinum card , what portion of her limit on the platinum card will remain unspent ? \nOptions: a ) 2 / 3 , b ) 29 / 60 , c ) 17 / 30 , d ) 19 / 30 , e ) 11 / 15", "output": [ "a" ] }, { "id": "task1420-c0c1e0497013423f8b88d60076d03724", "input": "Problem: a certain city with a population of 60,000 is to be divided into 11 voting districts , and no district is to have a population that is more than 10 percent greater than the population of any other district what is the minimum possible population that the least populated district could have ? \nOptions: a ) a ) 10,700 , b ) b ) 10,800 , c ) c ) 10,900 , d ) d ) 11,000 , e ) e ) 5,000", "output": [ "e" ] }, { "id": "task1420-9a855ea64acf4760b0fef184782f9258", "input": "Problem: s is a set of 64 consecutive multiples of 4 . if the smallest number in s is 68 , then the greatest number in s is \nOptions: a ) 198 , b ) 297 , c ) 320 , d ) 402 , e ) 405", "output": [ "c" ] }, { "id": "task1420-c24cc29afd6c46f995eb056bb46cd39d", "input": "Problem: what is the value of ( 44444445 * 88888885 * 44444442 + 44444438 / 44444444 ^ 2 ) \nOptions: a ) 88888883 , b ) 88888884 , c ) 88888885 , d ) 88888886 , e ) 88888873", "output": [ "a" ] }, { "id": "task1420-bed6b6775fe14abb90c03b6d96aaa0a4", "input": "Problem: the difference between a two - digit number and the number obtained by interchanging the digits is 36 . what is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1 : 2 ? \nOptions: a ) 4 , b ) 8 , c ) 16 , d ) 12 , e ) 14", "output": [ "b" ] }, { "id": "task1420-23aef58383ab4766a12d56508579abb6", "input": "Problem: the sum of the ages of 5 children born at the intervals of 3 year each is 50 year . what is the age of the youngest child ? \nOptions: a ) 4 year , b ) 8 year , c ) 10 year , d ) none of these , e ) 9 year", "output": [ "a" ] }, { "id": "task1420-58bd1198989a4424ac5a1f6358e9dfee", "input": "Problem: a man purchased 4 blankets @ rs . 100 each , 5 blankets @ rs . 150 each and two blankets at a certain rate which is now slipped off from his memory . but he remembers that the average price of the blankets was rs . 150 . find the unknown rate of two blankets ? \nOptions: a ) a ) 300 , b ) b ) 350 , c ) c ) 450 , d ) d ) 470 , e ) e ) 500", "output": [ "b" ] }, { "id": "task1420-1125d3fa47ef46438c78606ec51540d4", "input": "Problem: there are cats got together and decided to kill the mice of 999951 . each cat kills equal number of mice and each cat kills more number of mice than cats there were . then what are the number of cats ? \nOptions: a ) 941,1009 , b ) 993,1007 , c ) 991,1009 , d ) 791,1009 , e ) 931,1009", "output": [ "b" ] }, { "id": "task1420-be41dfb911424f17ad26710faaad2734", "input": "Problem: a committee is reviewing a total of 40 x black - and - white films and 4 y color films for a festival . if the committee selects y / x % of the black - and - white films and all of the color films , what fraction of the selected films are in color ? \nOptions: a ) 20 / 11 , b ) 16 / 11 , c ) 17 / 11 , d ) 10 / 11 , e ) 19 / 11", "output": [ "d" ] }, { "id": "task1420-2f7ec2735a284161b590444c5b9cb6fc", "input": "Problem: evaluate : | 6 - 8 ( 3 - 12 ) | - | 5 - 11 | = ? \nOptions: a ) 40 , b ) 50 , c ) 72 , d ) 70 , e ) 80", "output": [ "c" ] }, { "id": "task1420-ba2a3a1d8dac4713b839c842f18be858", "input": "Problem: if 3 a = 4 b and ab ≠ 0 , what is the ratio of a / 4 to b / 3 ? \nOptions: a ) 64 / 27 , b ) 9 / 16 , c ) 1 , d ) 6 / 8 , e ) 8 / 6", "output": [ "c" ] }, { "id": "task1420-10d11ec7b3554194b688e41d181123e5", "input": "Problem: a grocer has a sale of rs . 6435 , rs . 6927 , rs . 6855 , rs . 7230 and rs . 6562 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 7000 ? \nOptions: a ) s . 4991 , b ) s . 5991 , c ) s . 6001 , d ) s . 6991 , e ) s . 7991", "output": [ "e" ] }, { "id": "task1420-3fcef16deea24e6eb9c028e98e1fea90", "input": "Problem: 3850 * 99 \nOptions: a ) 382550 , b ) 384560 , c ) 385690 , d ) 389650 , e ) 381150", "output": [ "e" ] }, { "id": "task1420-892c1e8afda64695a30c583a9c14b9ba", "input": "Problem: a number is doubled and 9 is added . if resultant is trebled , it becomes 69 . what is that number \nOptions: a ) 7 , b ) 10 , c ) 12 , d ) 14 , e ) 15", "output": [ "a" ] }, { "id": "task1420-322dbcdc145e4604ae61eedcd12d8896", "input": "Problem: what is the value of 3 x ^ 2 − 1.8 x + 0.3 for x = 0.6 ? \nOptions: a ) − 0.3 , b ) 0 , c ) 0.3 , d ) 1.08 , e ) 2.46", "output": [ "c" ] }, { "id": "task1420-6bffbecf651d46d9bbc8c492b467c815", "input": "Problem: find the sum lend at c . i . at 5 p . c per annum will amount to rs . 740 in 2 years ? \nOptions: a ) 221 , b ) 287 , c ) 400 , d ) 288 , e ) 671", "output": [ "e" ] }, { "id": "task1420-5d852f93c6a048499c92cd24a6e9ec4e", "input": "Problem: if the average of 6 digits is 16 and the average of 4 of them is 10 , calculate the average of the remaining 2 numbers ? \nOptions: a ) 36 , b ) 35 , c ) 28 , d ) 33 , e ) 21", "output": [ "c" ] }, { "id": "task1420-8707f3e3d683402586481a76c2c9d1e5", "input": "Problem: the mean of 30 values was 180 . it was detected on rechecking that one value 155 was wrongly copied as 135 for the computation of the mean . find the correct mean . \nOptions: a ) 151 , b ) 149 , c ) 152 , d ) 148 , e ) 180.67", "output": [ "e" ] }, { "id": "task1420-355ce678cdfc4144b433542772bfc6a4", "input": "Problem: √ ( 9 ) ^ 2 \nOptions: a ) 3 , b ) 14 , c ) 9 , d ) 21 , e ) none of these", "output": [ "c" ] }, { "id": "task1420-3e9e1d84b9bd44a0960c2c175c187b37", "input": "Problem: a vessel of capacity 2 litre has 16 % of alcohol and another vessel of capacity 6 litre had 40 % alcohol . the total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water . what is the new concentration of mixture ? \nOptions: a ) 31 % . , b ) 71 % . , c ) 49 % . , d ) 27.2 % . , e ) 51 % .", "output": [ "d" ] }, { "id": "task1420-65be62ba6faa4ad18d9eb8f149aa0c91", "input": "Problem: the total circumference of two circles is 88 . if the first circle has a circumference that is exactly twice the circumference of the second circle , then what is the approximate sum of their two radii ? \nOptions: a ) 5.7 , b ) 6.0 , c ) 6.7 , d ) 9.7 , e ) 14.0", "output": [ "e" ] }, { "id": "task1420-dc15140da54945f991e134cc9fe01e27", "input": "Problem: if a fraction is multiplied by itself and then divided by the reciprocal of the same fraction , the result is 18 26 / 27 . find the fraction . \nOptions: a ) 8 / 27 , b ) 1 1 / 3 , c ) 2 2 / 3 , d ) 3 / 3 , e ) none of these", "output": [ "c" ] }, { "id": "task1420-d9fccd77826b40cd9bc61c579284e632", "input": "Problem: two brothers took the gmat exam , the higher score is x and the lower one is y . if the difference between the two scores is 1 / 3 , what is the value of y / x ? \nOptions: a ) 3 . , b ) 2 . , c ) 1 / 2 . , d ) 1 / 4 , e ) there is n ' t enough data to answer the question .", "output": [ "d" ] }, { "id": "task1420-aabbc0b2b002458bb7bae43d40c265b2", "input": "Problem: a , b and c play a cricket match . the ratio of the runs scored by them in the match is a : b = 6 : 3 and b : c = 6 : 5 . if the total runs scored by all of them are 118 , the runs scored by b are ? \nOptions: a ) 24 , b ) 20.13 , c ) 30.93 , d ) 20.93 , e ) 10.93", "output": [ "a" ] }, { "id": "task1420-ca1b4aca7cf14998a177de12766f3899", "input": "Problem: a number whose fifth part increased by 5 is equal to its fourth part diminished by 5 is ? \nOptions: a ) 160 , b ) 180 , c ) 200 , d ) 220 , e ) none", "output": [ "c" ] }, { "id": "task1420-c4a0d9c8cc0d46228a6444e1bf259b0a", "input": "Problem: a military camp has a food reserve for 250 personnel for 40 days . if after 15 days 50 more personnel are added to the camp , find the number of days the reserve will last for ? \nOptions: a ) 25 , b ) 67 , c ) 26 , d ) 29 , e ) 18", "output": [ "a" ] }, { "id": "task1420-c035a2b88b664dbdba8680a29ad83806", "input": "Problem: if the price of a certain computer increased 30 percent from d dollars to 351 dollars , then 2 d = \nOptions: a ) 540 , b ) 570 , c ) 619 , d ) 649 , e ) 700", "output": [ "a" ] }, { "id": "task1420-5826f79984174fea8911c5465dff2d94", "input": "Problem: ( 23341379 x 72 ) = ? \nOptions: a ) 1680579288 , b ) 1223441288 , c ) 2142579288 , d ) 2142339288 , e ) none of these", "output": [ "a" ] }, { "id": "task1420-996bc956a5144a31baf425deb818010f", "input": "Problem: a team of 6 entered for a shooting competition . the best marks man scored 85 points . if he had scored 92 points , the average scores for . the team would have been 84 . how many points altogether did the team score ? \nOptions: a ) 288 , b ) 497 , c ) 168 , d ) 127 , e ) 664", "output": [ "b" ] }, { "id": "task1420-43eef279a8c94116936129be549883c7", "input": "Problem: if a - b = 3 and a 2 + b 2 = 29 , then find the value of ab \nOptions: a ) 7 , b ) 8.5 , c ) 10 , d ) 12 , e ) 14", "output": [ "c" ] }, { "id": "task1420-2edc21018a284bf59ed06702a271e3d9", "input": "Problem: if 25 % of a number is subtracted from a second number , the second number reduces to its 4 - sixth . what is the ratio of the first number to the second number ? \nOptions: a ) 5 : 3 , b ) 4 : 3 , c ) 6 : 3 , d ) 3 : 4 , e ) 5 : 4", "output": [ "b" ] }, { "id": "task1420-fd4e47af2cfd4704af9c6c476009296d", "input": "Problem: the sum of the even numbers between 1 and n is 85 * 86 , where n is an odd number , then n = ? \nOptions: a ) 163 , b ) 171 , c ) 179 , d ) 185 , e ) 191", "output": [ "b" ] }, { "id": "task1420-858b3a4c5e40474c948549caaa5d6d31", "input": "Problem: how many positive integers less than 27 are prime numbers , odd multiples of 5 , or the sum of a positive multiple of 2 and a positive multiple of 4 ? \nOptions: a ) 27 , b ) 25 , c ) 24 , d ) 20 , e ) 22", "output": [ "e" ] }, { "id": "task1420-163ad051dd0f4996b45165fb54e5a9b7", "input": "Problem: there are 6 boxes numbered 1 , 2 , … , . 6 . each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered . the total number of ways in which this can be done is \nOptions: a ) 22 , b ) 21 , c ) 45 , d ) 27 , e ) 25", "output": [ "b" ] }, { "id": "task1420-4280b7354a504b82bffad5d2cad0513a", "input": "Problem: a card game called “ high - low ” divides a deck of 52 playing cards into 2 types , “ high ” cards and “ low ” cards . there are an equal number of “ high ” cards and “ low ” cards in the deck and “ high ” cards are worth 2 points , while “ low ” cards are worth 1 point . if you draw cards one at a time , how many ways can you draw “ high ” and “ low ” cards to earn 4 points if you must draw exactly 2 “ low ” cards ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "c" ] }, { "id": "task1420-6a22387eb54d4319a4c7bb142466bd27", "input": "Problem: a certain characteristic in a large population has a distribution that is symmetric about the mean m . if 68 % of the distribution lies one standard deviation s of the mean , what percent of the distribution is less than m + s ? \nOptions: a ) 16 % , b ) 32 % , c ) 48 % , d ) 84 % , e ) 92 %", "output": [ "d" ] }, { "id": "task1420-d945fd32a540454e9eae95621e456cc6", "input": "Problem: a camera lens filter kit containing 5 filters sells for $ 67.50 . if the filters are purchased individually , 2 of them are priced at $ 7.45 each , 2 at $ 10.05 each , 1 at $ 14.50 . the amount saved by purchasing the kit is what percent of the total price of the 5 filters purchased individually ? \nOptions: a ) 25.66 % , b ) 26.66 % , c ) 27.66 % , d ) 28.66 % , e ) 29.66 %", "output": [ "b" ] }, { "id": "task1420-93182a00e55941faae01d2a71a3fac6e", "input": "Problem: o ( x ) represents the least odd integer greater than x , whereas o ( x ) represents the greatest odd integer less than x . likewise , e ( x ) represents the least even integer greater than x , whereas e ( x ) represents the greatest even integer less than x . according to these definitions , the value of o ( 5.3 ) + e ( – 6.7 ) + o ( – 3.3 ) + e ( 4.7 ) is : \nOptions: a ) - 3 , b ) - 1 , c ) 0 , d ) 1 , e ) 3", "output": [ "c" ] }, { "id": "task1420-0e2ac200f9514796b66861514c9823e9", "input": "Problem: the average weight of 8 person ' s increases by 2.5 kg when a new person comes in place of one of them weighing 75 kg . what might be the weight of the new person ? \nOptions: a ) 95 kg , b ) 90 kg , c ) 85 kg , d ) data inadequate , e ) none of these", "output": [ "a" ] }, { "id": "task1420-024f73cd0da346e7a2c1b483f1622426", "input": "Problem: the grade point average of one third of the classroom is 45 ; the grade point average of the rest is 60 . what is the grade point average of the whole class ? \nOptions: a ) 54 , b ) 55 , c ) 60 , d ) 65 , e ) 70", "output": [ "b" ] }, { "id": "task1420-405fee816fc040c99f152e8f997e3d64", "input": "Problem: a library has an average of 510 visitors on sundays and 240 on other day . the average number of visitors in a month of 15 days starting with sunday is \nOptions: a ) 280 , b ) 285 , c ) 290 , d ) 295 , e ) 570", "output": [ "e" ] }, { "id": "task1420-b9b406b0b9c14f6486b4dd438c69b392", "input": "Problem: if a * b * c = ( √ ( a + 2 ) ( b + 3 ) ) / ( c + 1 ) , find the value of 6 * 15 * 2 . \nOptions: a ) 8 , b ) 5 , c ) 11 , d ) 3 , e ) 4", "output": [ "e" ] }, { "id": "task1420-146c2353e51044a99941abac17ecd3b8", "input": "Problem: how many paying stones , each measuring 2 1 / 2 m * 2 m are required to pave a rectangular court yard 70 m long and 16 1 / 2 m board ? \nOptions: a ) 99 , b ) 18 , c ) 16 , d ) 10 , e ) 231", "output": [ "e" ] }, { "id": "task1420-d796d3d2c18f45909c0064ea1716b90b", "input": "Problem: b as a percentage of a is equal to a as a percentage of ( a + b ) . find b as a percentage of a . \nOptions: a ) 62 % , b ) 73 % , c ) 41 % , d ) 71 % , e ) none of these", "output": [ "a" ] }, { "id": "task1420-a50034e1c25a480893070cdcf8852788", "input": "Problem: product of two co - prime numbers is 117 . their l . c . m should be : \nOptions: a ) 1 , b ) 117 , c ) 116 , d ) equal to their h . c . f , e ) can not be calculated", "output": [ "b" ] }, { "id": "task1420-43d58edb90f547d98ab936a5fe318f1a", "input": "Problem: if ( a – b ) is 9 more than ( c + d ) and ( a + b ) is 3 less than ( c – d ) , then ( a – c ) is : \nOptions: a ) 6 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "c" ] }, { "id": "task1420-2ab96832fa97484aa2e9a3409544c547", "input": "Problem: ( 32323 + 7344 + 41330 ) - ( 317 x 91 ) = ? \nOptions: a ) 54210 , b ) 54250 , c ) 52150 , d ) none of these , e ) 521500", "output": [ "c" ] }, { "id": "task1420-46c2bb496e8942a5840995bc7f443ead", "input": "Problem: a basketball team composed of 12 players scored 100 points in a particular contest . if none of the individual players scored fewer than 7 points , what is the greatest number of points e that an individual player might have scored ? \nOptions: a ) 7 , b ) 13 , c ) 16 , d ) 21 , e ) 23", "output": [ "e" ] }, { "id": "task1420-5c14b4704c9a459aaf293b7ca653b5f3", "input": "Problem: the average marks of a class of 22 students is 40 and that of another class of 28 students is 60 . find the average marks of all the students ? \nOptions: a ) 51.2 , b ) 59.5 , c ) 52.8 , d ) 52.5 , e ) 52.1", "output": [ "a" ] }, { "id": "task1420-ce7f5d49bb2b4e74bdc056d9b1943e4c", "input": "Problem: what least number must be subtracted from 427398 so that remaining no . is divisible by 11 \nOptions: a ) 3 , b ) 4 , c ) 6 , d ) 7 , e ) 8", "output": [ "b" ] }, { "id": "task1420-0bc5ae2cdd654b71aa0ab8494bb1c342", "input": "Problem: a , b and c have rs . 250 between them , a and c together have rs . 200 and b and c rs . 350 . how much does c have ? \nOptions: a ) a ) 300 , b ) b ) 290 , c ) c ) 280 , d ) d ) 270 , e ) e ) 66", "output": [ "a" ] }, { "id": "task1420-2a7d18ad76c143ed9b0390b29e977d71", "input": "Problem: what is the tens digit of 7 ^ 1415 ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4", "output": [ "e" ] }, { "id": "task1420-ef94ce57ab1f49f6b3c9b170ef3cbea2", "input": "Problem: a person decided to build a house in 100 days . he employed 100 men in the beginning and 100 more after 10 days and completed the construction in stipulated time . if he had not employed the additional men , how many days behind schedule would it have been finished ? \nOptions: a ) 40 , b ) 80 , c ) 70 , d ) 60 , e ) 90", "output": [ "e" ] }, { "id": "task1420-ce138a864b264230866bb712259e474d", "input": "Problem: if x # y is defined to equal x ^ 3 / y for all x and y , then ( - 1 # 2 ) # 3 = \nOptions: a ) 4 / 3 , b ) 1 / 3 , c ) 1 / 12 , d ) - 1 / 12 , e ) 1 / 24", "output": [ "e" ] }, { "id": "task1420-68e8e6fbd2e64860910fb07a205bf4f0", "input": "Problem: how many prime numbers are between 26 / 3 and 85 / 6 ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "b" ] }, { "id": "task1420-ff7f8cfc0967484fa8fa86a9f640ac47", "input": "Problem: when positive integer n is divided by positive integer p , the quotient is 18 , with a remainder of 7 . when n is divided by ( p + 2 ) , the quotient is 15 and the remainder is 1 . what is the value of n ? \nOptions: a ) 151 , b ) 331 , c ) 511 , d ) 691 , e ) 871", "output": [ "a" ] }, { "id": "task1420-8597b9a5a2c2404da88d1282c31c9e2e", "input": "Problem: average monthly income of a family of 4 earning members was rs . 840 . one of the earning members died and therefore , the average income came down to rs 650 . the income of the deceased was ? \nOptions: a ) rs . 692.80 , b ) rs . 820 , c ) rs . 990 , d ) rs . 1410 , e ) none", "output": [ "d" ] }, { "id": "task1420-39598876c37b4413a9f8acebc85ddd90", "input": "Problem: a student has to obtain 35 % of the total marks to pass . he got 100 marks and failed by 40 marks . the maximum marks are ? \nOptions: a ) 280 , b ) 400 , c ) 420 , d ) 480 , e ) 520", "output": [ "b" ] }, { "id": "task1420-b988ab295a6246709b6e0fb610b904aa", "input": "Problem: find the value for m ? 21 ( m + n ) + 21 = 21 ( - m + n ) + 21 \nOptions: a ) 0 , b ) - 1 , c ) 1 , d ) 2 , e ) 3", "output": [ "c" ] }, { "id": "task1420-8c2137bb93004feaa1a0d457358141cd", "input": "Problem: an integer n between 1 and 99 , inclusive , is to be chosen at random . what is the probability that n ( n + 1 ) will be divisible by 3 ? \nOptions: a ) 1 / 9 , b ) 1 / 3 , c ) 1 / 2 , d ) 2 / 3 , e ) 5 / 6", "output": [ "d" ] }, { "id": "task1420-cca15b83fbee4370b3a2cd83ab223062", "input": "Problem: what is the sum of 100 consecutive integers from - 49 inclusive , in a increasing order ? \nOptions: a ) - 29 , b ) 50 , c ) - 30 , d ) 30 , e ) 60", "output": [ "b" ] }, { "id": "task1420-b08cf9fbbd1a47058a9c3183af40d3bb", "input": "Problem: a club wants to mix 25 pounds of candy worth $ 8.00 per pound with candy worth $ 5.00 per pound to reduce the cost of the mixture to $ 6.00 per pound . how many pounds of the $ 5.00 per pound candy should be used ? \nOptions: a ) 30 , b ) 40 , c ) 50 , d ) 60 , e ) 70", "output": [ "c" ] }, { "id": "task1420-3f9ab2dab73b4e4f947217f5c7bb0423", "input": "Problem: paulson spends 75 % of his income . his income is increased by 20 % and he increased his expenditure by 10 % . find the percentage increase in his savings ? \nOptions: a ) 20 % , b ) 25 % , c ) 50 % , d ) 75 % , e ) 60 %", "output": [ "c" ] }, { "id": "task1420-40d2d2a6f24a44659c81f16be46b3ede", "input": "Problem: if x + y = 8 and y − 3 x = 7 , then what is the value of y - x ? \nOptions: a ) 1 / 7 , b ) 3 , c ) 15 , d ) 15 / 2 , e ) 60 / 7", "output": [ "d" ] }, { "id": "task1420-7a0089ab54d04b36b5ff42018d0fdfca", "input": "Problem: if the average ( arithmetic mean ) of a and b is 50 and the average of b and c is 70 , what is the value of c − a ? \nOptions: a ) 40 , b ) 50 , c ) 90 , d ) 140 , e ) it can not be determined from the information given .", "output": [ "a" ] }, { "id": "task1420-bb5559ae4be8470dbede606c04ae1ee3", "input": "Problem: 4 out of 8 employees are capable of doing a certain task . sixty percent of the 5 employees , including the 4 who are capable , are assigned to a project involving this task . what percentage of employees assigned to the project are not capable ? \nOptions: a ) 43.33 % , b ) 33.33 % , c ) 13.33 % , d ) 38.33 % , e ) none", "output": [ "e" ] }, { "id": "task1420-c784d19731dc4621aadac2e2db61832e", "input": "Problem: what is the positive difference between the sum of the squares of the first 8 positive integers and the sum of the prime numbers between the first square and fourth square ? \nOptions: a ) 161 , b ) 162 , c ) 163 , d ) 164 , e ) 165", "output": [ "c" ] }, { "id": "task1420-1cd4d235c6ea4395a0d539eef813aab6", "input": "Problem: the salary of a , b , c , d , e is rs . 8000 , rs . 5000 , rs . 11000 , rs . 7000 , rs . 9000 per month respectively , then the average salary of a , b , c , d , and e per month is \nOptions: a ) rs . 7000 , b ) rs . 8000 , c ) rs . 8500 , d ) rs . 9000 , e ) none", "output": [ "b" ] }, { "id": "task1420-6d4a2eeffcce46cc8f2d9dd9dc5a0a45", "input": "Problem: in an examination , 25 % of total students failed in hindi , 48 % failed in english and 27 % in both . the percentage of these who passed in both the subjects is : \nOptions: a ) 23 , b ) 54 , c ) 28 , d ) 40 , e ) 81", "output": [ "b" ] }, { "id": "task1420-495d36d6c72942fb8f67c29b75024420", "input": "Problem: the maximum number of student amoung them 1802 pens and 1203 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is : \nOptions: a ) 1 , b ) 10 , c ) 11 , d ) 19 , e ) none of these", "output": [ "a" ] }, { "id": "task1420-ac03bbd452eb4512aef2c4c8df23137e", "input": "Problem: a lemonade stand sold only small and large cups of lemonade on tuesday . 1 / 5 of the cups sold were small and the rest were large . if the large cups were sold for 7 / 6 as much as the small cups , what fraction of tuesday ' s total revenue was from the sale of large cups ? \nOptions: a ) 7 / 16 , b ) 7 / 15 , c ) 10 / 21 , d ) 14 / 17 , e ) 1 / 2", "output": [ "d" ] }, { "id": "task1420-ce4beadaa9534b07bc0ed1eef2a1667b", "input": "Problem: a merchant gains or loses , in a bargain , a certain sum . in a second bargain , he gains 380 dollars , and , in a third , loses 70 . in the end he finds he has gained 250 dollars , by the 3 together . how much did he gain or lose bv the first ? \nOptions: a ) 80 , b ) 60 , c ) - 60 , d ) - 70 , e ) none", "output": [ "c" ] }, { "id": "task1420-f56b176aa49041c9a9f1b8d86b0f9e8e", "input": "Problem: if p and q are prime numbers , how many divisors does the product p ^ 3 * q ^ 6 have ? \nOptions: a ) 9 , b ) 12 , c ) 18 , d ) 28 , e ) 363", "output": [ "d" ] }, { "id": "task1420-bc37c1356b9543ffbc57f76813397a16", "input": "Problem: set a { 3 , 3,3 , 4,5 , 5,5 } has a standard deviation of 1 . what will the standard deviation be if every number in the set is multiplied by 3 ? \nOptions: a ) a ) 1 , b ) b ) 2 , c ) c ) 4 , d ) d ) 3 , e ) e ) 16", "output": [ "d" ] }, { "id": "task1420-925728e476bf49f498970fc3743fe80f", "input": "Problem: john want to buy a $ 100 trouser at the store , but he think it â € ™ s too expensive . finally , it goes on sale for $ 55 . what is the percent decrease ? \nOptions: a ) 20 % , b ) 30 % , c ) 40 % , d ) 50 % , e ) 45 %", "output": [ "e" ] }, { "id": "task1420-2f2f900a828947229c0660023dd447f4", "input": "Problem: if the average ( arithmetic mean ) of ( 2 a + 16 ) and ( 3 a - 8 ) is 74 , what is the value of a ? \nOptions: a ) 25 , b ) 30 , c ) 28 , d ) 36 , e ) 42", "output": [ "c" ] }, { "id": "task1420-4dfa7aace65d46b5a5a20c6b5f518d68", "input": "Problem: what is the tens digit of 6 ^ 18 ? \nOptions: a ) 1 , b ) 3 , c ) 5 , d ) 7 , e ) 9", "output": [ "a" ] }, { "id": "task1420-d9070ddde7604c059b144cd792049b79", "input": "Problem: in how many q ways can a 4 - letter password be chosen , using the letters a , b , c , d , e , and / or f , such that at least one letter is repeated within the password ? \nOptions: a ) 720 , b ) 864 , c ) 900 , d ) 936 , e ) 1296", "output": [ "d" ] }, { "id": "task1420-9f9e3834b97b4debaaa16a0e9b87d0c7", "input": "Problem: half a number plus 5 is 13 . what is the number ? \nOptions: a ) 8 , b ) 16 , c ) 10 , d ) 11 , e ) 12", "output": [ "b" ] }, { "id": "task1420-62c5cc5b714a41bdaf22b4a3c33283ac", "input": "Problem: when x is even , [ x ] = x / 2 + 1 , when x is odd [ x ] = 2 x + 1 then [ 6 ] * [ 3 ] = ? \nOptions: a ) [ 22 ] , b ) [ 44 ] , c ) [ 45 ] , d ) [ 28 ] , e ) [ 10 ]", "output": [ "d" ] }, { "id": "task1420-9b29e88063074f1bb34ae41f41a4cdff", "input": "Problem: a girl was asked to multiply a certain number by 43 . she multiplied it by 34 and got his answer less than the correct one by 1215 . find the number to be multiplied . \nOptions: a ) 130 , b ) 132 , c ) 135 , d ) 136 , e ) 138", "output": [ "c" ] }, { "id": "task1420-e4f479ad069647d1a89a6df11460f4bc", "input": "Problem: according to the formula f = 9 / 5 ( c ) + 32 , if the temperature in degrees farenheit ( f ) increases by 28 , by how much does the temperature in degrees celsius ( c ) increase ? \nOptions: a ) 9 , b ) 15.55 , c ) 47 , d ) 48 3 / 5 , e ) 59", "output": [ "b" ] }, { "id": "task1420-18657cf2d74544c7bd68a8cfd665d3da", "input": "Problem: x varies inversely as square of y . given that y = 3 for x = 1 . the value of x for y = 2 will be equal to : \nOptions: a ) 3 , b ) 6 , c ) 1 / 9 , d ) 1 / 3 , e ) 9 / 4", "output": [ "e" ] }, { "id": "task1420-16997558cabe47609ce8f432578559f5", "input": "Problem: a car travels uphill at 30 km / hr and downhill at 60 km / hr . it goes 100 km uphill and 50 km downhill . find the average speed of the car ? \nOptions: a ) 32 kmph , b ) 33 kmph , c ) 34 kmph , d ) 35 kmph , e ) 36 kmph", "output": [ "e" ] }, { "id": "task1420-9b1d9b8529294c10af13cdb32a7bf5c0", "input": "Problem: a no . when divided by 221 gives a remainder 43 , what remainder will be obtainedby dividingthe same no . 17 ? \nOptions: a ) 3 , b ) 6 , c ) 9 , d ) 11 , e ) 14", "output": [ "c" ] }, { "id": "task1420-451563eb1ab44203a5223e10f2238ef0", "input": "Problem: a set s = { x , - 8 , - 5 , - 1 , 1 , 6 , 9 , y } with elements arranged in increasing order . if the median and the mean of the set are the same , what is the value of | x | - | y | ? \nOptions: a ) - 1 , b ) can not be determined , c ) 1 , d ) 0 , e ) 2", "output": [ "e" ] }, { "id": "task1420-7b50ae8ac5034aa8b273eb7511a247bd", "input": "Problem: if a + b + c = 21 , what is the total number of non - negative integral solutions ? \nOptions: a ) 223 , b ) 233 , c ) 240 , d ) 243 , e ) 253", "output": [ "e" ] }, { "id": "task1420-0cce701382d04b03aa5d7f4b2b25dd2b", "input": "Problem: a bag of potatoes weighs 50 lbs divided by half of its weight . how much does the bag of potatoes weigh ? \nOptions: a ) 10 lb , b ) 20 lb , c ) 30 lb , d ) 40 lb , e ) 50 lb", "output": [ "a" ] }, { "id": "task1420-eef873f870a24e13986510159ab48e56", "input": "Problem: a certain protective additive increases from 30 days to 60 days the time between required maintenance checks on an industrial vehicle . by what percent is the time between maintenance checks increased by using the additive ? \nOptions: a ) 25 % , b ) 33 1 / 3 % , c ) 100 % , d ) 66 2 / 3 % , e ) 75 %", "output": [ "c" ] }, { "id": "task1420-db24ec321bb94d0d86773b1fdf5238b9", "input": "Problem: if john makes a contribution to a charity fund at school , the average contribution size will increase by 50 % reaching $ 75 per person . if there were 1 other contributions made before john ' s , what is the size of his donation ? \nOptions: a ) $ 100 , b ) $ 150 , c ) $ 200 , d ) $ 250 , e ) $ 450", "output": [ "a" ] }, { "id": "task1420-beaec1d5b448400d8dea4d3555d10db3", "input": "Problem: the unit digit in the product ( 784 x 618 x 917 x 463 ) is : \nOptions: a ) 5 , b ) 9 , c ) 16 , d ) 2 , e ) 42", "output": [ "d" ] }, { "id": "task1420-56a29483da6e4d0d9c904e4fc3791da7", "input": "Problem: how much is 50 % of 40 is greater than 4 / 5 of 25 ? \nOptions: a ) 0 , b ) 67 , c ) 88 , d ) 12 , e ) 66", "output": [ "a" ] }, { "id": "task1420-72e56e3c972b4ec894ed1e03ed0ed302", "input": "Problem: { 8 , 46 , 53 , 127 } what number should be inserted in the set of 7 values to get a median of 9 ? \nOptions: a ) 20 , b ) 14 , c ) 16 , d ) 5 , e ) 8", "output": [ "b" ] }, { "id": "task1420-f3f2244bd31c43b78da58055886481a9", "input": "Problem: the average monthly salary of 20 employees in an organisation is rs . 1700 . if the manager ' s salary is added , then the average salary increases by rs . 100 . what is the manager ' s monthly salary ? \nOptions: a ) rs . 6003 , b ) rs . 3800 , c ) rs . 1288 , d ) rs . 6108 , e ) rs . 6011", "output": [ "b" ] }, { "id": "task1420-d67260cb209649488cacdb51223f8366", "input": "Problem: ( 212 + 222 + 232 + . . . + 302 ) = ? \nOptions: a ) 385 , b ) 2485 , c ) 2570 , d ) 3255 , e ) none", "output": [ "c" ] }, { "id": "task1420-f7793b55558c48fda5b3e3457a730163", "input": "Problem: what is the smallest positive integer x such that 80 - x is the cube of a positive integer \nOptions: a ) 16 , b ) 12 , c ) 47 , d ) 9 , e ) 12", "output": [ "a" ] }, { "id": "task1420-b58f5154c26d434da3a4d14d7693e840", "input": "Problem: what is the units digit of ( 147 ^ 17 ) ^ 47 ? \nOptions: a ) 1 , b ) 3 , c ) 5 , d ) 7 , e ) 9", "output": [ "b" ] }, { "id": "task1420-6c332a7ceaa14817bd8a4d22be1ae7aa", "input": "Problem: a jogger running at 9 km / hr along side a railway track is 240 m ahead of the engine of a 130 m long train running at 45 km / hr in the same direction . in how much time will the train pass the jogger ? \nOptions: a ) 28 sec , b ) 16 sec , c ) 37 sec , d ) 18 sec , e ) 17 sec", "output": [ "c" ] }, { "id": "task1420-c82bcf531e424bdea17ec5d71622c0fb", "input": "Problem: the captain of a cricket team of 11 members is 26 years old and the wicket keeper is 9 years older . if the ages of these two are excluded , the average age of the remaining players is one year less than the average age of the whole team . what is the average age of the team ? \nOptions: a ) 23 years , b ) 24 years , c ) 25 years , d ) 26 years , e ) 27 years", "output": [ "d" ] }, { "id": "task1420-6fd1e180cef34cd9b60500d05f459eb2", "input": "Problem: instead of multiplying a number by 9 , the number is divided by 9 . what is the percentage of error obtained ? \nOptions: a ) 97.765 % , b ) 99.765 % , c ) 96.765 % , d ) 95.765 % , e ) 98.765 %", "output": [ "e" ] }, { "id": "task1420-3d1b9fb3287049d9a4b9a697140962b2", "input": "Problem: a man has some hens and cows . if the number of heads be 50 and the number of feet equals 160 , then the number of hens will be : \nOptions: a ) 22 , b ) 23 , c ) 24 , d ) 20 , e ) 28", "output": [ "d" ] }, { "id": "task1420-b04df22c484f469eba6c5b2bebcc0074", "input": "Problem: a man engaged a servant on the condition that he would pay him rs . 600 and a uniform after one year service . he served only for 9 months and received uniform and rs . 400 , find the price of the uniform ? \nOptions: a ) s . 80 , b ) s . 85 , c ) s . 90 , d ) s . 100 , e ) s . 200", "output": [ "e" ] }, { "id": "task1420-a2b71fd93ef54c66ad95641118e2bf89", "input": "Problem: there are 200 female managers in a certain company . find the total number of female employees q in the company , if 2 / 5 of all the employees are managers and 2 / 5 of all male employees are managers . \nOptions: a ) q = 300 , b ) q = 400 , c ) q = 500 , d ) q = 600 , e ) none of these", "output": [ "c" ] }, { "id": "task1420-f64c4a44f8804d539e08d745c4d8a883", "input": "Problem: one half of a two digit number exceeds its one third by 9 . what is the sum of the digits of the number ? \nOptions: a ) a ) 3 , b ) b ) 5 , c ) c ) 7 , d ) d ) 9 , e ) e ) 11", "output": [ "d" ] }, { "id": "task1420-36da3abd1b2e4c56b53705d0884492b9", "input": "Problem: find 96 × × 98 \nOptions: a ) 92 / 8 , b ) 92 / 12 , c ) 92 / 13 , d ) 92 / 10 , e ) 92 / 11", "output": [ "a" ] }, { "id": "task1420-ff89384e82d540fe976dabeb15f8eade", "input": "Problem: if x is equal to the sum of the integers from 20 to 40 , inclusive , and y is the number of even integers from 20 to 40 , inclusive , what is the value of x + y ? \nOptions: a ) 601 , b ) 611 , c ) 621 , d ) 631 , e ) 641", "output": [ "e" ] }, { "id": "task1420-7191c6ccabd34a88ae9ab1f8678401af", "input": "Problem: 32 is divided into two parts in such a way that seventh part of first and ninth part of second are equal . find the smallest part ? \nOptions: a ) 66 , b ) 26 , c ) 42 , d ) 27 , e ) 14", "output": [ "e" ] }, { "id": "task1420-51b2254be26142f8bee8114e34a439b1", "input": "Problem: how many multiples of 4 are there between 12 and 108 , inclusive ? \nOptions: a ) 21 , b ) 22 , c ) 23 , d ) 24 , e ) 25", "output": [ "e" ] }, { "id": "task1420-967f8a94896d45a395c97345b649224a", "input": "Problem: find the sum the difference between the compound and s . i . on a certain sum of money for 2 years at 10 % per annum is rs . 12 of money ? \nOptions: a ) 1200 , b ) 1992 , c ) 9921 , d ) 2798 , e ) 2789", "output": [ "a" ] }, { "id": "task1420-e47f1ef6767749ebb774bc09d2d49630", "input": "Problem: a batsman scored 150 runs which included 5 boundaries and 10 sixes . what percent of his total score did he make by running between the wickets ? \nOptions: a ) 45 % , b ) 46.67 % , c ) 600 / 11 , d ) 55 % , e ) 35 %", "output": [ "b" ] }, { "id": "task1420-06fc58e86ba74bb2a078590ecc874439", "input": "Problem: a man is 28 years older than his son . in two years , his age will be twice the age of his son . the present age of the son is ? \nOptions: a ) 16 , b ) 19 , c ) 15 , d ) 26 , e ) 10", "output": [ "d" ] }, { "id": "task1420-365e44f6302c41c289d944ee9438a92a", "input": "Problem: a vendor buys 10 t - shirts at an average price of $ 14 per t - shirt . he then buys 15 more t - shirts at an average price of $ 11 per t - shirt . what is the average price v per t - shirt that the vendor paid for these purchases ? \nOptions: a ) $ 12.20 , b ) $ 12.50 , c ) $ 12.55 , d ) $ 12.70 , e ) $ 13.00", "output": [ "a" ] }, { "id": "task1420-c56b22eaac55423aac707e3fcc988c44", "input": "Problem: a certain car traveled twice as many miles from town a to town b as it did from town b to town c . from town a to town b , the car averaged 20 miles per gallon , and from town b to town c , the car averaged 25 miles per gallon . what is the average miles per gallon that the car achieved on its trip from town a through town b to town c ? \nOptions: a ) 20 , b ) 18 , c ) 21.4 , d ) 16 , e ) 10", "output": [ "c" ] }, { "id": "task1420-b04f8a160b33456faee4dad636b2a5b7", "input": "Problem: find the smallest four - digit number which is a multiple of 112 \nOptions: a ) 137 , b ) 112 , c ) 287 , d ) 121 , e ) 191", "output": [ "b" ] }, { "id": "task1420-6397f553d60a428e969b4e4d47536a8e", "input": "Problem: the average age of 10 men is increased by years when two of them whose ages are 21 years and 23 years are replaced by two new men . the average age of the two new men is \nOptions: a ) 22 , b ) 30 , c ) 99 , d ) 38 , e ) 32", "output": [ "e" ] }, { "id": "task1420-18ecccd2f944440295f027a2754a3a0f", "input": "Problem: the price of a bushel of corn is currently $ 3.20 , and the price of a peck of wheat is $ 6.80 . the price of corn is increasing at a constant rate of 5 x cents per day while the price of wheat is decreasing at a constant rate of x ( 2 ^ 1 / 2 ) - x cents per day . what is the approximate price when a bushel of corn costs the same amount as a peck of wheat ? \nOptions: a ) $ 4.50 , b ) $ 5.10 , c ) $ 5.30 , d ) $ 5.50 , e ) $ 6.50", "output": [ "e" ] }, { "id": "task1420-8bb9a74c2ccc41c1ad4439f06f2f2573", "input": "Problem: | x + 3 | – | 4 - x | = | 8 + x | how many k solutions will this equation have ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4", "output": [ "a" ] }, { "id": "task1420-fe7e2d4b5570448c81f3aa0827a7738f", "input": "Problem: a seller of used cars has 16 cars to sell and each of his clients selected 2 cars that he liked most . if each car was selected exactly thrice , how many clients visited the garage ? \nOptions: a ) 8 , b ) 10 , c ) 12 , d ) 14 , e ) 24", "output": [ "e" ] }, { "id": "task1420-c30c632e8025494e92d4b042c9d652f5", "input": "Problem: if money is invested at r percent interest , compounded annually , the amount of the investment will double in approximately 48 / r years . if pat ' s parents invested $ 5,000 in a long - term bond that pays 8 percent interest , compounded annually , what will be the approximate total amount of the investment 18 years later , when pat is ready for college ? \nOptions: a ) $ 20000 , b ) $ 15000 , c ) $ 12000 , d ) $ 10000 , e ) $ 9000", "output": [ "b" ] }, { "id": "task1420-f7d92d084c5043d3873b676776ae7cc2", "input": "Problem: line m lies in the xy - plane . the y - intercept of line m is - 2 , and line m passes through the midpoint of the line segment whose endpoints are ( 2 , 4 ) and ( 6 , - 6 ) . what is the slope of line m ? \nOptions: a ) - 3 , b ) - 1 , c ) - 1 / 3 , d ) 0 , e ) undefined", "output": [ "b" ] }, { "id": "task1420-7685e62315f443dbb6ccb6bedb22d62a", "input": "Problem: if the charge of staying in a student youth hostel $ 18.00 / day for the first week , and $ 14.00 / day for each additional week , how much does it cost to stay for 23 days ? \nOptions: a ) $ 160 , b ) $ 350 , c ) $ 282 , d ) $ 274 , e ) $ 286", "output": [ "b" ] }, { "id": "task1420-529b835cffd44c5abb407a06d47bb7fe", "input": "Problem: 4 balls of different colors are to be placed in 3 different boxes such that any box contains at least 1 ball . what is the maximum number of different ways in which this can be done ? \nOptions: a ) 60 , b ) 90 , c ) 120 , d ) 150 , e ) 180", "output": [ "e" ] }, { "id": "task1420-fd1ecb2c5add4300b247c32563716a93", "input": "Problem: set a { 3 , 3,3 , 4,5 , 5,5 } has a standard deviation of 1 . what will the standard deviation be if every number in the set is multiplied by 2 ? \nOptions: a ) a ) 1 , b ) b ) 2 , c ) c ) 4 , d ) d ) 8 , e ) e ) 16", "output": [ "b" ] }, { "id": "task1420-7de97f126ed64970968d08c25bb63278", "input": "Problem: the difference between the place values of two eights in the numerical 38140482 is \nOptions: a ) 7999920 , b ) 799920 , c ) 7920 , d ) 79920 , e ) none of them", "output": [ "a" ] }, { "id": "task1420-c44ab809bfbc43b3bf6f7cb5836fb190", "input": "Problem: 3 pounds of 05 grass seed contain 1 percent herbicide . a different type of grass seed , 20 , which contains 20 percent herbicide , will be mixed with 3 pounds of 05 grass seed . how much grass seed of type 20 should be added to the 3 pounds of 05 grass seed so that the mixture contains 15 percent herbicide ? \nOptions: a ) 3 , b ) 3.75 , c ) 4.5 , d ) 8.4 , e ) 9", "output": [ "d" ] }, { "id": "task1420-f7319b3034054722949b1a631d42a3e9", "input": "Problem: on a partly cloudy day , derek decides to walk back from work . when it is sunny , he walks at a speed of s miles / hr ( s is an integer ) and when it gets cloudy , he increases his speed to ( s + 1 ) miles / hr . if his average speed for the entire distance is 2.8 miles / hr , what fraction q of the total distance did he cover while the sun was shining on him ? \nOptions: a ) 1 / 4 , b ) 4 / 5 , c ) 1 / 5 , d ) 1 / 6 , e ) 1 / 7", "output": [ "e" ] }, { "id": "task1420-cd1754e2cb8043bba0247e96076be302", "input": "Problem: the average of runs of a cricket player of 10 innings was 18 . how many runs must he make in his next innings so as to increase his average of runs by 4 ? \nOptions: a ) 87 , b ) 16 , c ) 62 , d ) 76 , e ) 17", "output": [ "c" ] }, { "id": "task1420-efc8cea0122c438bab01ed628215ec0b", "input": "Problem: diana is painting statues . she has 1 / 2 of a gallon of paint remaining . each statue requires 1 / 4 gallon of paint . how many statues can she paint ? \nOptions: a ) 2 , b ) 20 , c ) 28 , d ) 14 , e ) 19", "output": [ "a" ] }, { "id": "task1420-b30a48f19c6649e3b60fd21195041eb8", "input": "Problem: a multiple choice test consists of 4 questions , and each question has 5 answer choices . in how many e ways can the test be completed if every question is unanswered ? \nOptions: a ) 24 , b ) 120 , c ) 625 , d ) 720 , e ) 1024", "output": [ "c" ] }, { "id": "task1420-5765e26ecd5e4be590a427b65ea64d03", "input": "Problem: if 9 a - b = 10 b + 50 = - 12 b - 2 a , what is the value of 11 a + 11 b ? \nOptions: a ) - 4 , b ) - 2 , c ) 0 , d ) 2 , e ) 4", "output": [ "c" ] }, { "id": "task1420-b268d2368da84557a449dc3bf9dd8e77", "input": "Problem: craig sells major appliances . for each appliance he sells , craig receives a commission of $ 50 plus 10 percent of the selling price . during one particular week craig sold 6 appliances for selling prices totaling $ 3620 . what was the total of craig ' s commissions for that week ? \nOptions: a ) $ 412 , b ) $ 526 , c ) $ 585 , d ) $ 605 , e ) $ 662", "output": [ "e" ] }, { "id": "task1420-0f1489d7d4bc4dc8bc4ecaefbfd5489c", "input": "Problem: the ratio 25 : 50 expressed as percent equals to \nOptions: a ) 50 % , b ) 85 % , c ) 25 % , d ) 75 % , e ) none of above", "output": [ "a" ] }, { "id": "task1420-53dc676052df45e0b02cb4cb40bfde8a", "input": "Problem: the average height of 15 girls out of a class of 60 is 138 cm . and that of the remaining girls is 142 cm . the average height of the whole class is : \nOptions: a ) 132 cms , b ) 141 cms , c ) 142 cms , d ) 152 cms , e ) 161 cms", "output": [ "b" ] }, { "id": "task1420-fa582aacdbd94b9d8aac73a5ef99efc4", "input": "Problem: if 360 is divided into 4 parts proportional to 5 , 7 , 4 , 8 then the smallest part is : \nOptions: a ) 50 , b ) 60 , c ) 40 , d ) 18 , e ) 22", "output": [ "b" ] }, { "id": "task1420-76d8e4fcd95049d1846b2ee95ec665bb", "input": "Problem: 9 - 3 ÷ 1 / 3 + 3 = ? \nOptions: a ) 1 , b ) 3 , c ) 6 , d ) 9 , e ) 12", "output": [ "b" ] }, { "id": "task1420-411e72c018a04755a93c1f993f09ec61", "input": "Problem: each week , harry is paid x dollars per hour for the first 30 hours and 1.5 x dollars for each additional hour worked that week . each week , james is paid x dollars per hour for the first 40 hours and 2 x dollars for each additional hour worked that week . last week james worked a total of 56 hours . if harry and james were paid the same amount last week , how many hours did harry work last week ? \nOptions: a ) 35 , b ) 36 , c ) 37 , d ) 38 , e ) 58", "output": [ "e" ] }, { "id": "task1420-8869e0880f5249298911b181cbc84840", "input": "Problem: 0.003 * 0.5 = ? \nOptions: a ) 0.00015 , b ) 0.0015 , c ) 0.015 , d ) 0.15 , e ) none of these", "output": [ "b" ] }, { "id": "task1420-2024c67ce5ad4bd2ba809c12f9bcd328", "input": "Problem: what is the 28 th digit to the right of the decimal point in the decimal form of 4 / 11 ? \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "d" ] }, { "id": "task1420-67fe16d66b2741458328b192affc8079", "input": "Problem: in track last week , the boys ran 34 laps . the girls ran 20 more laps . each lap is a 1 / 6 th of a mile . how many miles did the girls run ? \nOptions: a ) 9 miles , b ) 10 miles , c ) 11 miles , d ) 12 miles , e ) 13 miles", "output": [ "a" ] }, { "id": "task1420-3ede098c6920406ab5017a5962f1f851", "input": "Problem: in a certain school , 20 % of students are below 8 years of age . the number of students above 8 years of age is 2 / 3 of the number of students of 8 years of age which is 24 . what is the total number of students in the school ? \nOptions: a ) 50 , b ) 80 , c ) 120 , d ) 150 , e ) 100", "output": [ "a" ] }, { "id": "task1420-46dfd325b92f4b4e9f6053fc8a520207", "input": "Problem: the difference between the ages of two persons is 10 years . fifteen years ago , the elder one was twice as old as the younger one . the present age of the elder person is \nOptions: a ) 25 years , b ) 30 years , c ) 35 years , d ) 40 years , e ) none", "output": [ "c" ] }, { "id": "task1420-a8d65dfcb1064c48aced2e62a4bf1c5b", "input": "Problem: whats the reminder when 879,548 , 521,456 , 258,759 , 653,258 , 778,455 , 658,985 is divided by 4 \nOptions: a ) 1 , b ) 7 . , c ) 2 . , d ) 3 , e ) 9", "output": [ "a" ] }, { "id": "task1420-359772a60c054c3e8ad36d4f91cdec76", "input": "Problem: fonzie , aunt bee and lapis paid $ 7000 , $ 8000 and $ 9000 respectively to buy a map to capt . plaidstache ' s treasure . when they found it , the treasure turned out to be worth a cool $ 900000 . how much of it should lapis get ? \nOptions: a ) $ 300000 , b ) $ 320000 , c ) $ 335000 , d ) $ 336500 , e ) $ 337500", "output": [ "e" ] }, { "id": "task1420-960f12c0721b44e58a3270fdac8bb944", "input": "Problem: the average age of applicants for a new job is 31 , with a standard deviation of 5 . the hiring manager is only willing to accept applications whose age is within one standard deviation of the average age . what is the maximum number of different ages of the applicants ? \nOptions: a ) 11 , b ) 14 , c ) 15 , d ) 18 , e ) 30", "output": [ "a" ] }, { "id": "task1420-c8612bb39cd34e3fbf2f2a1ebabefcbb", "input": "Problem: a , b , c and d enter into partnership . a subscribes 1 / 3 of the capital b 1 / 4 , c 1 / 5 and d the rest . how much share did b get in a profit of rs . 2400 ? \nOptions: a ) s . 532 , b ) s . 600 , c ) s . 822 , d ) s . 812 , e ) s . 810", "output": [ "b" ] }, { "id": "task1420-646c9b41c00f4866aadad0a0bad97ccd", "input": "Problem: a computer manufacturer produces a certain electronic component at a cost of $ 50 per component . shipping costs for delivering the components are $ 8 per unit . further , the manufacturer has costs of $ 16,000 a month related to the electronic component regardless of how many it produces . if the manufacturer produces and sells 200 components a month , what is the lowest price it can sell them for such that the costs do n ' t exceed the revenues ? \nOptions: a ) 135 , b ) 129 , c ) 131 , d ) 138 , e ) 141", "output": [ "d" ] }, { "id": "task1420-690bb35ddec3428baaca75f68b984c1d", "input": "Problem: a student got 72 % in math and 82 % in history . to get an overall average of 75 % , how much should the student get in the third subject ? \nOptions: a ) 69 % , b ) 71 % , c ) 73 % , d ) 75 % , e ) 77 %", "output": [ "b" ] }, { "id": "task1420-1453c740fc47494a80fc87d5cdbe401d", "input": "Problem: how many pairs ( r , r + 1 ) have one or more prime factors common , where r is an integer and 2 ≤ r ≤ 9 ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4", "output": [ "a" ] }, { "id": "task1420-9c1ebe61227a4968ae9424f84023927b", "input": "Problem: how many positive even integers less than 100 contain digits 7 or 9 ? \nOptions: a ) 16 , b ) 17 , c ) 18 , d ) 19 , e ) 10", "output": [ "e" ] }, { "id": "task1420-daa7d27cc1aa4efc9e3dcc150a8371f4", "input": "Problem: on a certain date , pat invested $ 5,000 at x percent annual interest , compounded annually . if the total value of the investment plus interest at the end of 12 years will be $ 20,000 , in how many years , the total value of the investment plus interest will increase to $ 30,000 ? \nOptions: a ) 15 , b ) 16 , c ) 18 , d ) 20 , e ) 24", "output": [ "a" ] }, { "id": "task1420-cdd0cfc114a04cfd81d340b090f26dec", "input": "Problem: if x is a positive number and 1 / 3 the square root of x is equal to 3 x , then x = \nOptions: a ) 1 / 3 , b ) 1 / 9 , c ) 1 / 81 , d ) 1 , e ) 81", "output": [ "c" ] }, { "id": "task1420-85e2bfe1c75f4fb38448b4cce1c9c2ed", "input": "Problem: if m is an integer such that ( - 2 ) ^ 2 m = 2 ^ ( 18 - m ) then m = ? \nOptions: a ) 4 , b ) 5 , c ) 6 , d ) 7 , e ) 8", "output": [ "c" ] }, { "id": "task1420-93ed95ee6bdd48888c93d4ba7eba0ca3", "input": "Problem: a large box contains 15 small boxes and each small box contains 20 chocolate bars . how many chocolate bars are in the large box ? \nOptions: a ) a ) 220 , b ) b ) 490 , c ) c ) 380 , d ) d ) 300 , e ) e ) 690", "output": [ "d" ] }, { "id": "task1420-2c6b3fe70ef047e993e189b7e6cc7b60", "input": "Problem: when positive integer x is divided by positive integer y , the remainder is 4 . if x / y = 96.16 , what is the value of y ? \nOptions: a ) 96 , b ) 75 , c ) 48 , d ) 25 , e ) 12", "output": [ "d" ] }, { "id": "task1420-ce1e01624718436180a7549714a7e47d", "input": "Problem: harold works at a resort from the beginning of march to the end of september . during the month of august this past year , he made 4 times the average ( arithmetic mean ) of his monthly totals in tips for the other months . his total tips for august were what fraction of his total tips for all of the months he worked ? \nOptions: a ) 1 / 3 , b ) 2 / 5 , c ) 3 / 7 , d ) 1 / 2 , e ) 4 / 7", "output": [ "b" ] }, { "id": "task1420-c1e2605b315346d9bdb7d7c67acd0265", "input": "Problem: if ( n + 2 ) ! / n ! = 90 , n = ? \nOptions: a ) 2 / 131 , b ) 8 , c ) 10 , d ) 11 , e ) 12", "output": [ "b" ] }, { "id": "task1420-083529d4b5a34b58b72e915ded8e2bab", "input": "Problem: if ( 2 ^ 17 ) ( 25 ^ s ) = 5 ( 10 ^ m ) what is the value of m ? \nOptions: a ) 7 , b ) 8 , c ) 15 , d ) 16 , e ) 17", "output": [ "e" ] }, { "id": "task1420-f06477ddba16483da9b748b0a4ac3c91", "input": "Problem: the standard deviation of a normal distribution of data is 2 , and 3 standard deviations below the mean is greater than 46 . what is a possible value for the mean of the distribution ? \nOptions: a ) 46 , b ) 52 , c ) 48 , d ) 49 , e ) 50", "output": [ "b" ] }, { "id": "task1420-d2e59724fce447b3ab54ae685da6c198", "input": "Problem: the milk level in a rectangular box measuring 58 feet by 25 feet is to be lowered by 6 inches . how many gallons of milk must be removed ? ( 1 cu ft = 7.5 gallons ) \nOptions: a ) 100 , b ) 250 , c ) 750 , d ) 5437.5 , e ) 5635.5", "output": [ "d" ] }, { "id": "task1420-6e66f09954fd46c48c68e77b0d029cd5", "input": "Problem: for every even positive integer m , f ( m ) represents the product of all even integers from 2 to m , inclusive . for example , f ( 12 ) = 2 x 4 x 6 x 8 x 10 x 12 . what is the greatest prime factor of f ( 28 ) ? \nOptions: a ) 2 , b ) 7 , c ) 11 , d ) 13 , e ) 17", "output": [ "d" ] }, { "id": "task1420-60289e1c93f548b8a13a59cd0aca232d", "input": "Problem: how many multiples of 4 are there between 32 and 252 ? \nOptions: a ) 67 , b ) 64 , c ) 54 , d ) 56 , e ) 60", "output": [ "c" ] }, { "id": "task1420-7ecd8aa53c214a8da164fdc08a825097", "input": "Problem: a trained covered x km at 30 kmph and another 2 x km at 20 kmph . find the average speed of the train in covering the entire 3 x km . \nOptions: a ) 22.5 , b ) 99 , c ) 24 , d ) 66 , e ) 887", "output": [ "a" ] }, { "id": "task1420-7df85d79235b4c50abb64e573b6e1ab7", "input": "Problem: the captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older . if the ages of these two are excluded , the average age of the remaining players is one year less than the average age of the whole team . what is the average age of the team ? \nOptions: a ) 23 years , b ) 20 years , c ) 25 years , d ) 22 years , e ) 28 years", "output": [ "a" ] }, { "id": "task1420-c142f0af70e64577b1bb21d595c1e7ce", "input": "Problem: how many times digit 7 is used while writing numbers from 1 to 300 ? \nOptions: a ) 28 , b ) 42 , c ) 41 , d ) 35 , e ) 49", "output": [ "b" ] }, { "id": "task1420-b5f4a46d06e24a739e3fbd1f254e414a", "input": "Problem: according to the directions on the can of frozen orange juice concentrate , 1 can of concentrate is to be mixed with 3 cans of water to make orange juice . how many 12 ounces cans of the concentrate are required to prepare 360 6 ounces servings of orange juice ? \nOptions: a ) a ) 45 , b ) b ) 34 , c ) c ) 50 , d ) d ) 67 , e ) e ) 100", "output": [ "a" ] }, { "id": "task1420-bc709ee3427845cd936b0f06d9f7d6cd", "input": "Problem: a certain country is divided into 8 provinces . each province consists entirely of progressives and traditionalists . if each province contains the same number of traditionalists and the number of traditionalists in any given province is 1 / 12 the total number of progressives in the entire country , what fraction of the country is traditionalist ? \nOptions: a ) 1 / 5 , b ) 1 / 3 , c ) 1 / 2 , d ) 2 / 3 , e ) 3 / 5", "output": [ "e" ] }, { "id": "task1420-cbbe132bad73409f8e700532c4ddcd1b", "input": "Problem: if 2 x + y = 7 and x + 2 y = 5 , then 2 xy / 3 = ? \nOptions: a ) 1 , b ) 2 , c ) 17 / 5 , d ) 18 / 5 , e ) 4", "output": [ "b" ] }, { "id": "task1420-2df5b2e9e95046a29ad9570be8b5614a", "input": "Problem: scott ' s average ( arithmetic mean ) golf score on his first 4 rounds was 78 . what score does he need on his fifth round to drop his average score by 2 points ? \nOptions: a ) 68 , b ) 72 , c ) 78 , d ) 88 , e ) 312", "output": [ "a" ] }, { "id": "task1420-d185d28d2dd54ddba48edf0603c0966f", "input": "Problem: in the formula a = ( 2 r ) ^ 3 , if r is halved , then a is multiplied by ? \nOptions: a ) 64 , b ) 1 / 8 , c ) 1 , d ) 8 , e ) 1 / 64", "output": [ "b" ] }, { "id": "task1420-ebf4360566f64b6bb96dc27aeedf5bd0", "input": "Problem: in goshawk - eurasian nature reserve 30 percent of the birds are hawks , and 40 percent of the non - hawks are paddyfield - warblers . if there are 25 percent as many kingfishers as paddyfield - warblers in the reserve , then what percent of the birds e in the nature reserve are not hawks , paddyfield - warblers , or kingfishers ? \nOptions: a ) 25 % , b ) 35 % , c ) 45 % , d ) 70 % , e ) 80 %", "output": [ "b" ] }, { "id": "task1420-cfaacda19d6145ba8e7fe30e7990d5ce", "input": "Problem: a retailer bought a hat at wholesale and marked it up 60 % to its initial price of $ 24 . by how many more dollars does he need to increase the price to achieve a 100 % markup ? \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "d" ] }, { "id": "task1420-94e999d3282a4becb2b7841df83605ec", "input": "Problem: if a 2 - b 2 = 10 and a * b = 5 , find a 4 + b 4 . \nOptions: a ) 50 , b ) 100 , c ) 150 , d ) 92 , e ) 25", "output": [ "c" ] }, { "id": "task1420-34ba824c24ed4d71a4f7423f4fd82299", "input": "Problem: 4 , 6 , 12 , 14 , 28 , 30 , . . ? \nOptions: a ) 20 , b ) 40 , c ) no = 60 , d ) 80 , e ) 100", "output": [ "c" ] }, { "id": "task1420-062e648a02644d6fad2a13601d0fa6b7", "input": "Problem: divide rs . 1700 among a , b and c so that a receives 1 / 3 as much as b and c together and b receives 2 / 3 as a and c together . a ' s share is ? \nOptions: a ) 346 , b ) 425 , c ) 375 , d ) 337 , e ) 639", "output": [ "b" ] }, { "id": "task1420-5a88ba4a052846d7bcfb02a09c9b15ea", "input": "Problem: a man whose speed is 3.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph , find his average speed for the total journey ? \nOptions: a ) 2.0 , b ) 2.5 , c ) 3.0 , d ) 2.1 , e ) 4.0", "output": [ "e" ] }, { "id": "task1420-fdce5cdc038e4c70a78ec082cee9eb94", "input": "Problem: there is an antique clock exhibition . so many clock are piled up with distinct numbers tagged with them . the person managing it hangs different clocks numbers periodically on the main wall . at 9 : 20 am , he hung the clock number 200 ; at 11 : 00 am , he hung the clock number 30 ; at 4 : 00 pm , he hung the clock number 240 . which numbered clock will he hang on the wall when the time is 7 : 30 pm ? \nOptions: a ) 313 , b ) 314 , c ) 315 , d ) 316 , e ) 317", "output": [ "c" ] }, { "id": "task1420-be3a9315af5a4b37823994d911f9eeb8", "input": "Problem: there are 60 supermarkets in the fgh chain . all of them are either in the us or canada . if there are 22 more fgh supermarkets in the us than in canada , how many fgh supermarkets are there in the us ? \nOptions: a ) 20 , b ) 31 , c ) 41 , d ) 53 , e ) 64", "output": [ "c" ] }, { "id": "task1420-7b82acc22ec44549b7b227c49a5937b1", "input": "Problem: angelo and isabella are both salespersons . in any given week , angelo makes $ 550 in base salary plus 8 percent of the portion of his sales above $ 1,000 for that week . isabella makes 10 percent of her total sales for any given week . for what amount of weekly sales would angelo and isabella earn the same amount of money ? \nOptions: a ) 23,500 , b ) 24,500 , c ) 25,500 , d ) 26,500 , e ) 27,500", "output": [ "a" ] }, { "id": "task1420-a5aefae2002a489caf619911f443e80f", "input": "Problem: joe ’ s average ( arithmetic mean ) test score across 4 equally weighted tests was 35 . he was allowed to drop his lowest score . after doing so , his average test score improved to 40 . what is the lowest test score that was dropped ? \nOptions: a ) 20 , b ) 25 , c ) 55 , d ) 65 , e ) 80", "output": [ "a" ] }, { "id": "task1420-38cb5cc76a424a64a2da8b789c2ad0b8", "input": "Problem: the greatest number which on dividing 1657 and 2037 leaves remainders 10 and 7 respectively , is : \nOptions: a ) 123 , b ) 1 , c ) 235 , d ) 305 , e ) 505", "output": [ "b" ] }, { "id": "task1420-b3bf126e390c44e4828bd5896bbd2ed3", "input": "Problem: a man has some hens and cows . if the number of heads be 44 and the number of feet equals 140 , then the number of hens will be : \nOptions: a ) 22 , b ) 23 , c ) 18 , d ) 26 , e ) 28", "output": [ "c" ] }, { "id": "task1420-59e10d7f7dd24e4cbf153479a246d49d", "input": "Problem: if the average of 16 x and 8 y is greater than 80 , and x is twice y , what is the least integer value of x ? \nOptions: a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 12", "output": [ "a" ] }, { "id": "task1420-68abc91ef26849a7a84dbe37ae12f840", "input": "Problem: for any integer k greater than 1 , the symbol k * denotes the product of all integers between 1 and k , inclusive . if k * is a multiple of 3,675 , what is the least possible value of k ? \nOptions: a ) 12 , b ) 14 , c ) 15 , d ) 21 , e ) 25", "output": [ "b" ] }, { "id": "task1420-a45b899273f540d28eacb593bd7a4235", "input": "Problem: a student was asked to find 4 / 5 of a number . but the student divided the number by 4 / 5 , thus the student got 9 more than the correct answer . find the number . \nOptions: a ) 16 , b ) 18 , c ) 20 , d ) 22 , e ) 24", "output": [ "c" ] }, { "id": "task1420-889b2c76065848edbef14dca4cfa6416", "input": "Problem: a man is 28 years older than his son . in four years , his age will be twice the age of his son . the present age of this son is \nOptions: a ) 21 years , b ) 22 years , c ) 23 years , d ) 24 years , e ) 25 years", "output": [ "d" ] }, { "id": "task1420-19ec7da6ca95452491e05e2668007667", "input": "Problem: 1 = 5,2 = 10,3 = 253,4 = 254,5 = 255,6 = 256,7 = 257,8 = 258 then 10 = ? \nOptions: a ) 2 , b ) 255 , c ) 345 , d ) 445 , e ) 235", "output": [ "a" ] }, { "id": "task1420-44a631fa65f84780964bf9248346913a", "input": "Problem: 0.999999 + 0.111111 = ? \nOptions: a ) 1 , b ) 1.0001 , c ) 1.0021 , d ) 1.111 , e ) 1.11111", "output": [ "e" ] }, { "id": "task1420-8ae1c92988dd4e7c8cf9f53c095855bf", "input": "Problem: on dividing 22 by a number , the quotient is 7 and the remainder is 1 . find the divisor . \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 6 , e ) 7", "output": [ "c" ] }, { "id": "task1420-5b15c1bdb50349f0b3d0140163558943", "input": "Problem: find the difference between c . i and s . i on a sum of money rs . 2000 for 2 years . at 4 % p . a \nOptions: a ) rs . 2.20 , b ) rs . 3.20 , c ) rs . 4.20 , d ) rs . 5.20 , e ) rs . 3.25", "output": [ "b" ] }, { "id": "task1420-95ac8da82d104f50942c4a11c5f38958", "input": "Problem: the average age of an adult class is 40 years . 12 new students with an avg age of 32 years join the class . therefore decreasing the average by 6 year . find what was the original average age of the class ? \nOptions: a ) 10 , b ) 12 , c ) 16 , d ) 20 , e ) 4", "output": [ "e" ] }, { "id": "task1420-1817dcc6857841829e2b74a56425d9ee", "input": "Problem: ages of two sisters differ by 9 years . if 5 years ago , the elder one was twice as old the younger one , find their present age \nOptions: a ) 1228 , b ) 1423 , c ) 1632 , d ) 1834 , e ) 1932", "output": [ "b" ] }, { "id": "task1420-88593297ef254fa0956174f3a8d461f9", "input": "Problem: of the 3,600 employees of company x , 1 / 6 are clerical . if the clerical staff were to be reduced by 1 / 3 , what percent of the total number of the remaining employees would then be clerical ? \nOptions: a ) 25 % , b ) 22.2 % , c ) 20 % , d ) 12.5 % , e ) 11.7 %", "output": [ "e" ] }, { "id": "task1420-bf194bd900a44246b9340e1268835c93", "input": "Problem: you make a cube that is made of 10 x 10 x 10 smaller cubes which sums up to a total of 1000 smaller cubes . now , if someone takes one layer of cubes , how many will remain ? \nOptions: a ) 357 , b ) 834 , c ) 500 , d ) 512 , e ) 216", "output": [ "d" ] }, { "id": "task1420-308df165eef84d0995045ca944fa0380", "input": "Problem: robert ate 7 chocolates , nickel ate 5 chocolates . how many more chocolates did robert ate than nickel ? \nOptions: a ) a ) 4 , b ) b ) 7 , c ) c ) 9 , d ) d ) 5 , e ) e ) 2", "output": [ "e" ] }, { "id": "task1420-62aef9b953524c51957b4f421afab7c5", "input": "Problem: a mixture contains milk and water in the ratio 7 : 3 . on adding 20 liters of water , the ratio of milk to water becomes 7 : 5 . total quantity of milk & water before adding water to it ? \nOptions: a ) 90 , b ) 100 , c ) 110 , d ) 120 , e ) 140", "output": [ "b" ] }, { "id": "task1420-cd0053042bb6422e9f20d3f43af988df", "input": "Problem: if p ( a ) = 3 / 5 and p ( b ) = 2 / 5 , find p ( a n b ) if a and b are independent events . \nOptions: a ) 6 / 25 , b ) 3 / 25 , c ) 8 / 25 , d ) 2 / 13 , e ) 3 / 17", "output": [ "a" ] }, { "id": "task1420-cb5779b0bf6c48a49be418707c7a61ae", "input": "Problem: there are 12 pieces of radioactive metal a that look identical . 11 of the pieces give the same radiation count when measured , the 12 th piece is a counterfeit and gives a different radiation level , which may be more or less than the other 11 . we are given a radiation scale , which can take 2 sets of samples and compare their added up radiation levels to tell us if the sums are the same or if different , which set has the higher level of radiation . what is the minimum number of comparisons we need on this scale to identify the counterfeit sample and to also determine whether it has more or less radiation than the other samples ? \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6", "output": [ "b" ] }, { "id": "task1420-6a9e34c97a7b4cff85fff1bda29e4003", "input": "Problem: if bat = 58 hat = 52 cat = 57 then whats rat = ? \nOptions: a ) 42 , b ) 45 , c ) 34 , d ) 76 , e ) 25", "output": [ "a" ] }, { "id": "task1420-daeabf5345f14d1b88b5321dd49587aa", "input": "Problem: two employees m and n are paid a total of rs . 550 per week by their employer . if m is paid 120 percent of the sum paid to n , how much is n paid per week ? \nOptions: a ) rs . 220 , b ) rs . 250 , c ) rs . 280 , d ) rs . 300 , e ) rs . 320", "output": [ "b" ] }, { "id": "task1420-b7ddbece7f074a528f8955244421e53b", "input": "Problem: let exp ( m , n ) = m to the power n . if exp ( 10 , m ) = n exp ( 22 ) where m and n are integers then n = ___ ? \nOptions: a ) 24 , b ) 25 , c ) 26 , d ) 27 , e ) 28", "output": [ "b" ] }, { "id": "task1420-01a4475583a04276852714d28026a97b", "input": "Problem: the number obtained by interchanging the digits of a two - digit number is less than the original number by 36 . the sum of the digits of the number is 8 . what is the original number ? \nOptions: a ) 71 , b ) 62 , c ) 53 , d ) 35 , e ) 45", "output": [ "b" ] }, { "id": "task1420-0d2b8fa662ae4ae3a82ec7cc6fa64aff", "input": "Problem: a man saves 20 % of his monthly salary . if an account of dearness of things he is to increase his monthly expenses by 20 % , he is only able to save rs . 200 per month . what is his monthly salary ? \nOptions: a ) rs . 5000 , b ) rs . 25000 , c ) rs . 7500 , d ) rs . 8500 , e ) rs . 9500", "output": [ "a" ] }, { "id": "task1420-1cc94518571648ab9c8beba06a342d2f", "input": "Problem: in the game of dubblefud , red chips , blue chips and green chips are each worth 2 , 4 and 5 points respectively . in a certain selection of chips , the product of the point values of the chips is 16000 . if the number of blue chips in this selection doubles the number of green chips , how many red chips are in the selection ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "b" ] }, { "id": "task1420-fc81ec3121fc492ba34c46b2eeb615fb", "input": "Problem: if 2 + 2 / x = 3 - 3 / x , then x = \nOptions: a ) - 5 , b ) 2 / 3 , c ) 1 , d ) 3 / 2 , e ) 5", "output": [ "e" ] }, { "id": "task1420-d8de4d1e525946bbbb454beedf5d04c9", "input": "Problem: if k ^ 3 is divisible by 120 , what is the least possible value of integer k ? \nOptions: a ) 15 , b ) 30 , c ) 60 , d ) 90 , e ) 120", "output": [ "b" ] }, { "id": "task1420-c51436d267bf4c0b87742d47e80a9099", "input": "Problem: 1 ltr of water is added with 3 ltr of a solution containing 33 % of alcohol in the water . the % of alcohol in the new mixture is ? \nOptions: a ) 22 % , b ) 23 % , c ) 24.5 % , d ) 24.75 % , e ) 30 %", "output": [ "d" ] }, { "id": "task1420-a8e87ccdcc524f7ebb7d1cf5dc8506b8", "input": "Problem: if the average ( arithmetic mean ) of x and y is 80 , and z – x = 100 , what is the average of y and z ? \nOptions: a ) 140 , b ) 100 , c ) 110 , d ) 120 , e ) 130", "output": [ "e" ] }, { "id": "task1420-f3036e25ce264be4b9bb31332b5fb6c5", "input": "Problem: two kinds of vodka are mixed in the ratio 1 : 2 and 2 : 1 and they are sold fetching the profit 30 % and 20 % respectively . if the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4 / 3 and 5 / 3 times respectively , then the mixture will fetch the profit of \nOptions: a ) 18 % , b ) 20 % , c ) 21 % , d ) 23 % , e ) can not be determined", "output": [ "d" ] }, { "id": "task1420-d5d66fe4475e4b2d8d3cde11c4204a11", "input": "Problem: find the smallest number which when divided by 11 and 13 leaves respective remainders of 4 and 6 . \nOptions: a ) 187 , b ) 197 , c ) 207 , d ) 136 , e ) 227", "output": [ "d" ] }, { "id": "task1420-8b92ae15195b4d84b52b4650350fe368", "input": "Problem: what is the range of all the roots of | x ^ 2 - 4 | = x ? \nOptions: a ) 4 , b ) 3 , c ) 2 , d ) 1 , e ) 0", "output": [ "b" ] }, { "id": "task1420-445a759c51834446aa16d3d2f91f86df", "input": "Problem: if a - b = 10 and a ^ 2 + b ^ 2 = 150 , find the value of ab \nOptions: a ) 10 , b ) 12 , c ) 25 , d ) 18 , e ) 19", "output": [ "c" ] }, { "id": "task1420-5fcc6f733aa7406391a0701432cd7ed0", "input": "Problem: the ages of two persons differ by 16 years . if 6 years ago , the elder one be 3 times as old as the younger one , find their present ages . \nOptions: a ) 10 years and 18 years , b ) 18 years and 26 years , c ) 20 years and 28 years , d ) 14 years and 30 years , e ) 16 years and 25 years", "output": [ "d" ] }, { "id": "task1420-838b9a8fae78400596606737a9abbfb3", "input": "Problem: when a number is divided by 13 , the remainder is 6 . when the same number is divided by 7 , then remainder is 1 . what is the number ? \nOptions: a ) 243 , b ) 253 , c ) 312 , d ) 432 , e ) none of these", "output": [ "b" ] }, { "id": "task1420-ed7a44ca900f47e4b89ab813d5115a6e", "input": "Problem: the expression x # y denotes the product of the consecutive multiples of 3 between x and y , inclusive . what is the sum of the exponents in the prime factorization of 21 # 33 ? \nOptions: a ) 12 , b ) 13 , c ) 14 , d ) 15 , e ) 16", "output": [ "c" ] }, { "id": "task1420-0c53e53ee1964eafb293e8c91ccf8a69", "input": "Problem: a box contain the number of balls which is as much times greater than 15 as much times lesser than 240 . the no . of ball is ? \nOptions: a ) 48 , b ) 75 , c ) 60 , d ) 54 , e ) 45", "output": [ "c" ] }, { "id": "task1420-66d92d12d1db4acc8bc14b63b6d36308", "input": "Problem: for all integers x > 1 . < x > = 2 x + ( 2 x - 1 ) + ( 2 x - 2 ) + . . . . . . 2 + 1 . what is the value of < 2 > * < 4 > ? \nOptions: a ) 60 , b ) 116 , c ) 210 , d ) 263 , e ) 360", "output": [ "e" ] }, { "id": "task1420-72da67910ffe48d2b605dd82da2b83ac", "input": "Problem: in a box of 12 pens , a total of 6 are defective . if a customer buys 2 pens selected at random from the box , what is the probability that neither pen will be defective ? \nOptions: a ) 1 / 6 , b ) 5 / 22 , c ) 6 / 11 , d ) 9 / 16 , e ) 3 / 4", "output": [ "b" ] }, { "id": "task1420-9b3bd20ef3824a2a87cf645313c30ea2", "input": "Problem: in a certain brick wall , each row of bricks above the bottom row contains one less brick than the row just below it . if there are 5 rows in all and a total of 50 bricks in the wall , how many bricks does the bottom row contain ? \nOptions: a ) 12 , b ) 10 , c ) 9 , d ) 8 , e ) 11", "output": [ "d" ] }, { "id": "task1420-c6642facd3144725937c0df6135195ff", "input": "Problem: if x ^ 2 + y ^ 2 = 15 and xy = 3 , then ( x − y ) ^ 2 = \nOptions: a ) 8 , b ) 9 , c ) 14 , d ) 17 , e ) 20", "output": [ "b" ] }, { "id": "task1420-81c69477ee7f47f18fe39b8645d01aa1", "input": "Problem: 8 people went to a restaurant for dinner . 7 of them spent $ 10 each on their meals and the eighth spent $ 7 more than the average expenditure of all 8 people . what was the total amount of money that the 8 people spent ? \nOptions: a ) $ 85 , b ) $ 88 , c ) $ 91 , d ) $ 94 , e ) $ 97", "output": [ "b" ] }, { "id": "task1420-67d09323eb4d443eb934a1d07e5cc0ee", "input": "Problem: what is the least integer greater than – 4 + 0.5 ? \nOptions: a ) – 3 , b ) – 1 , c ) 0 , d ) 1 , e ) 2", "output": [ "a" ] }, { "id": "task1420-25530f92242843af91aee0993165b515", "input": "Problem: the average weight of 10 person ' s increases by 4 kg when a new person comes in place of one of them weighing 70 kg . what is the weight of the new person ? \nOptions: a ) 85 , b ) 86.5 , c ) 90 , d ) 88.5 , e ) 110", "output": [ "e" ] }, { "id": "task1420-c7ca90adcfc5459cbe419644a12b481a", "input": "Problem: if the sum of the first n positive integers is s , what is the sum of the first n negative even integers , in terms of s ? \nOptions: a ) s / 2 , b ) s , c ) 2 s , d ) 2 s + 2 , e ) 4 s", "output": [ "c" ] }, { "id": "task1420-b2f182a13a044f62a5e23c6e367f45d2", "input": "Problem: 40 is divided into two parts in such a way that seventh part of first and ninth part of second are equal . find the smallest part ? \nOptions: a ) 13.2 , b ) 17.5 , c ) 12.8 , d ) 34.25 , e ) 31.25", "output": [ "b" ] }, { "id": "task1420-0fe750afb3494c11ad9ff197246a0178", "input": "Problem: each of the positive integers a and c is a 4 - digit integer . if each of the digits 0 through 9 appears in one of these 3 integers , what is the maximum possible value of the sum of a and c ? \nOptions: a ) 18695 , b ) 18325 , c ) 18365 , d ) 18395 , e ) 18485", "output": [ "d" ] }, { "id": "task1420-89bdf71697e8430e8164913b9220a701", "input": "Problem: the number of diagonals of a polygon of n sides is given by the formula v = n ( n - 3 ) / 2 . if a polygon has twice as many diagonals as sides , how many sides does it have ? \nOptions: a ) 3 , b ) 5 , c ) 6 , d ) 7 , e ) 8", "output": [ "b" ] }, { "id": "task1420-f9770b7e497841a1a784b571544bb189", "input": "Problem: this year , mbb consulting fired 5 % of its employees and left remaining employee salaries unchanged . sally , a first - year post - mba consultant , noticed that that the average ( arithmetic mean ) of employee salaries at mbb was 10 % more after the employee headcount reduction than before . the total salary pool allocated to employees after headcount reduction is what percent of that before the headcount reduction ? \nOptions: a ) 98.5 % , b ) 100.0 % , c ) 102.8 % , d ) 104.5 % , e ) 105.0 %", "output": [ "c" ] }, { "id": "task1420-1186f32ee36e4a46a1a9a9358ab10cd5", "input": "Problem: the greatest number which on dividing 1442 and 1816 leaves remainders 12 and 6 respectively , is : \nOptions: a ) 123 , b ) 127 , c ) 235 , d ) 305 , e ) 10", "output": [ "e" ] }, { "id": "task1420-606faeb9d2ef402d84dd8d339126b053", "input": "Problem: if the average ( arithmetic mean ) of a and b is 40 and the average of b and c is 60 , what is the value of c − a ? \nOptions: a ) 25 , b ) 40 , c ) 90 , d ) 140 , e ) it can not be determined from the information given .", "output": [ "b" ] }, { "id": "task1420-28317a3fcfb44477a2cd552371601c9b", "input": "Problem: the average weight of a , b and c is 75 kg . if the average weight of a and b be 88 kg and that of b and c be 72 kg , then the weight of b is : \nOptions: a ) 60 kg , b ) 59 kg , c ) 62 kg , d ) 63 kg , e ) 61 kg", "output": [ "d" ] }, { "id": "task1420-a92aeef6f62a4560b3504250826d85e7", "input": "Problem: the average of 6 numbers is 3.9 . the average of two of them is 3.4 , while the average of the other two is 3.85 . what is the average of the remaining two numbers ? \nOptions: a ) 4.7 , b ) 4.45 , c ) 4.2 , d ) 4.1 , e ) 4.9", "output": [ "b" ] }, { "id": "task1420-50e1d6e9adb74f9f91c68b2b9585a580", "input": "Problem: a meal cost $ 32.50 and there was no tax . if the tip was more than 10 pc but less than 15 pc of the price , then the total amount paid should be : \nOptions: a ) 40 - 42 , b ) 39 - 41 , c ) 38 - 40 , d ) 37 - 39 , e ) 36 - 37", "output": [ "e" ] }, { "id": "task1420-793443d2e1334ee5bb977d57161be7be", "input": "Problem: what is the sum of all possible solutions to | x - 2 | ^ 2 + | x - 2 | = 20 ? \nOptions: a ) - 1 , b ) 6 , c ) 7 , d ) 8 , e ) 14", "output": [ "d" ] }, { "id": "task1420-23bcb007be4f4e0b88294a8f737bf984", "input": "Problem: two brothers ram and ravi appeared for an exam . the probability of selection of ram is 1 / 7 and that of ravi is 1 / 5 . find the probability that both of them are selected . \nOptions: a ) 1 / 35 , b ) 2 / 3 , c ) 7 / 35 , d ) 5 / 7 , e ) 7 / 5", "output": [ "a" ] }, { "id": "task1420-56e4766dc0da4a00a40e0f48b7f7be47", "input": "Problem: at a certain high school , the senior class is twice the size of the junior class . if 1 / 8 of the seniors and 3 / 4 of the juniors study japanese , what fraction of the students in both classes study japanese ? \nOptions: a ) 3 / 8 , b ) 3 / 4 , c ) 1 / 3 , d ) 4 / 5 , e ) 1 / 2", "output": [ "c" ] }, { "id": "task1420-8e058132d2414048897db825c6d267b0", "input": "Problem: in a company the manager wants to give some gifts to all of the workers . in each block there are about 200 workers are there . the total amount for giving the gifts for all the workers is $ 6000 . the worth of the gift is 2 $ . how many blocks are there in the company ? \nOptions: a ) 10 , b ) 12 , c ) 18 , d ) 20 , e ) 15", "output": [ "e" ] }, { "id": "task1420-cdaa6a19cd2e4cfab567ec3fa6949ee2", "input": "Problem: the sum of all the integers f such that - 26 < f < 24 is \nOptions: a ) 0 , b ) - 2 , c ) - 25 , d ) - 49 , e ) - 51", "output": [ "d" ] }, { "id": "task1420-2ea531550d984f589a6ee095652bbcc7", "input": "Problem: which fraction should be added to : 1 / ( 2 ã — 3 ) + 1 / ( 3 ã — 4 ) + 1 / ( 4 ã — 5 ) + . . . . . . . + 1 / ( 23 ã — 24 ) so that the result is equal to 1 ? \nOptions: a ) 7 / 24 , b ) 11 / 24 , c ) 13 / 24 , d ) 17 / 24 , e ) 19 / 24", "output": [ "c" ] }, { "id": "task1420-f1755d567fda4b4791d7be67b8bddbd8", "input": "Problem: a part - time employee whose hourly wage was decreased by 20 percent decided to increase the number of hours worked per week so that the employee ' s total income did not change . by what percent e should the number of hours worked be increased ? \nOptions: a ) 12.5 % , b ) 20 % , c ) 25 % , d ) 50 % , e ) 100 %", "output": [ "c" ] }, { "id": "task1420-8c6697057dba44219d72679d7eb3ddcb", "input": "Problem: if the operation € is defined for all x and y by the equation x € y = 2 * x * y , then 7 € ( 4 € 5 ) = \nOptions: a ) 80 , b ) 120 , c ) 160 , d ) 240 , e ) 560", "output": [ "e" ] }, { "id": "task1420-684c86c8439a48a49fdea4ecbf446aae", "input": "Problem: if x : y = 1 : 3 , find the value of ( 2 x + 3 y ) : ( 5 x – y ) \nOptions: a ) 11 : 3 , b ) 11 : 2 , c ) 3 : 2 , d ) 7 : 2 , e ) 9 : 5", "output": [ "b" ] }, { "id": "task1420-642db5400a4648e99e045173480ec020", "input": "Problem: employees of a certain company are each to receive a unique 10 - digit identification code consisting of the digits 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , and 9 such that no digit is used more than once in any given code . in valid codes , the second digit in the code is exactly twice the first digit . how many valid codes are there ? \nOptions: a ) 145,660 , b ) 149,720 , c ) 155,420 , d ) 161,280 , e ) 167,480", "output": [ "d" ] }, { "id": "task1420-8c62106b72d44f3d9dfbbc10ffd8d37f", "input": "Problem: find value of x : ( 422 + 404 ) ^ 2 − ( 4 × 422 × 404 ) = x . \nOptions: a ) 234 , b ) 267 , c ) 324 , d ) 356 , e ) 577", "output": [ "c" ] }, { "id": "task1420-1c3a38c6d93d45729ade9ddb0482cf0b", "input": "Problem: the sum of ages of 5 children born at theintervals of 3 years each is 50 years . what is the age of the youngest child ? \nOptions: a ) 4 , b ) 5 , c ) 9 , d ) 8 , e ) 10", "output": [ "a" ] }, { "id": "task1420-00e166ff31f74066835c1b1bc42314d8", "input": "Problem: two kinds of vodka are mixed in the ratio 1 : 2 and 2 : 1 and they are sold fetching the profit 10 % and 40 % respectively . if the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4 / 3 and 5 / 3 times respectively , then the mixture will fetch the profit of \nOptions: a ) 18 % , b ) 20 % , c ) 21 % , d ) 40 % , e ) can not be determined", "output": [ "d" ] }, { "id": "task1420-ed691c56f4b54c689b1b52b1e5e1cb34", "input": "Problem: there are , in a certain league , 8 teams , and each team face another team for a total of 12 times . how many games are played in the season ? \nOptions: a ) 150 , b ) 121 , c ) 144 , d ) 180 , e ) 1200", "output": [ "c" ] }, { "id": "task1420-7381c95ee9c54b63b3dc7dc3d2b40410", "input": "Problem: for a certain exam , a score of 58 was 2 standard deviations below mean and a score of 98 was 3 standard deviations above mean . what was the mean score w for the exam ? \nOptions: a ) 74 , b ) 76 , c ) 78 , d ) 80 , e ) 82", "output": [ "a" ] }, { "id": "task1420-fca61bcd1c2440fbac56a9511897f2e9", "input": "Problem: a man spends 2 / 5 of his salary on house rent , 3 / 10 of his salary on food , and 1 / 8 of his salary on conveyance . if he has rs 1400 left with him , find his expenditure on food and conveyance \nOptions: a ) 3200 , b ) 3400 , c ) 3600 , d ) 3800 , e ) 4000", "output": [ "b" ] }, { "id": "task1420-70f76abc812d4d9cbe61224c01a83521", "input": "Problem: amit , sumit and pramit go to a seaside town to spend a vacation there and on the first day everybody decides to visit different tourist locations . after breakfast , each of them boards a different tourist vehicle from the nearest bus - depot . after 3 hours , sumit who had gone to a famous beach , calls on the mobile of pramit and claims that he has observed a shark in the waters . pramit learns from the local guide that at that time of the year , only 8 sea - creatures ( including a shark ) are observable and the probability of observing any creature is equal . however , amit and pramit later recall during their discussion that sumit has a reputation for not telling the truth 5 out of 6 times . what is the probability that sumit actually observed a shark in the waters ? \nOptions: a ) 1 / 36 , b ) 1 / 30 , c ) 5 / 36 , d ) 1 / 24 , e ) 1 / 28", "output": [ "a" ] }, { "id": "task1420-2610ae27b0c446638e11add7b9ac12f9", "input": "Problem: roses can be purchased individually for $ 6.30 , one dozen for $ 36 , or two dozen for $ 50 . what is the greatest number of roses that can be purchased for $ 680 ? \nOptions: a ) 156 , b ) 162 , c ) 316 , d ) 324 , e ) 325", "output": [ "c" ] }, { "id": "task1420-f914453ad7dc443e98320498c6a4e7e6", "input": "Problem: the prices of tea and coffee per kg were the same in june . in july the price of coffee shot up by 20 % and that of tea dropped by 20 % . if in july , a mixture containing equal quantities of tea and coffee costs 80 / kg . how much did a kg of coffee cost in june ? \nOptions: a ) 50 , b ) 60 , c ) 80 , d ) 100 , e ) 120", "output": [ "c" ] }, { "id": "task1420-21f931b147a24e0f8153eb72d28a2dc8", "input": "Problem: if a mixture is 1 ⁄ 2 alcohol by volume and 3 ⁄ 2 water by volume , what is the ratio of the volume of alcohol to the volume of water in this mixture ? \nOptions: a ) 3 ⁄ 7 , b ) 4 ⁄ 7 , c ) 3 ⁄ 4 , d ) 4 ⁄ 3 , e ) 7 ⁄ 4", "output": [ "c" ] }, { "id": "task1420-5bf3d38243654bd1ae45ae865818f043", "input": "Problem: the average score in an examination of 10 students of a class is 60 . if the scores of the top 5 students are not considered , the average score of the remaining students falls by 5 . the pass mark was 40 and the maximum mark was 100 . it is also known that none of the students failed . if each of the top 5 scorers had distinct integral scores , the maximum possible score of the topper is . . . . . . \nOptions: a ) 99 , b ) 100 , c ) 87 , d ) 95 , e ) 90", "output": [ "a" ] }, { "id": "task1420-de3370aa8a104e0b9011f8eda42c1afb", "input": "Problem: if x is a prime number , and x - 1 is the median of the set { x - 1 , 3 x + 3 , 2 x - 4 } , then what is the average ( arithmetic mean ) of the set ? \nOptions: a ) 2 , b ) 5 / 3 , c ) 3 , d ) 10 / 3 , e ) 14 / 3", "output": [ "d" ] }, { "id": "task1420-29d62965bfd64d969345813093729568", "input": "Problem: a 6 - liter solution is 20 % alcohol . how many liters of pure alcohol must be added to produce a solution that is 50 % alcohol ? \nOptions: a ) 2.4 , b ) 2.7 , c ) 3.0 , d ) 3.3 , e ) 3.6", "output": [ "e" ] }, { "id": "task1420-5f3519a63cd4421fb21394ba84567e2f", "input": "Problem: a set of consecutive positive integers beginning with 1 is written on the blackboard . a student came along and erased one number . the average of the remaining numbers is 35 * 7 / 17 . what was the number erased ? \nOptions: a ) 7 , b ) 8 , c ) 6 , d ) 5 , e ) 4", "output": [ "a" ] }, { "id": "task1420-2f48bb95529f4f9fbc5cd410a472ff39", "input": "Problem: for any integer p , * p is equal to the product of all the integers between 1 and p , inclusive . how many prime numbers are there between * 6 + 3 and * 6 + 6 , inclusive ? \nOptions: a ) one , b ) none , c ) two , d ) three , e ) four", "output": [ "b" ] }, { "id": "task1420-2a55881799d44448b9fde3b0153624e1", "input": "Problem: 4 + 4 \nOptions: a ) 8 , b ) 2 , c ) 1 , d ) 5 , e ) 2", "output": [ "c" ] }, { "id": "task1420-f93a3fbe846a490192cd6d5bf2db0fd1", "input": "Problem: in a group of ducks and cows , the total number of legs are 32 more than twice the number of heads . find the total number of cows . \nOptions: a ) 12 , b ) 14 , c ) 16 , d ) 18 , e ) 20", "output": [ "c" ] }, { "id": "task1420-04e9d9343e904c04932698ef5228ff23", "input": "Problem: a car traveled 80 % of the way from town x to town y at an average speed of 80 mph . the car traveled at an average speed of v mph for the remaining part of the trip . the average speed for the entire trip was 50 mph . what is v in mph ? \nOptions: a ) 25 , b ) 35 , c ) 45 , d ) 55 , e ) 20", "output": [ "e" ] }, { "id": "task1420-2729432b9a434ccb8266d85735b7961b", "input": "Problem: if 9 - 4 / x = 7 + 8 / x , then x = \nOptions: a ) 15 , b ) 6 , c ) 1 , d ) 5 , e ) 12", "output": [ "b" ] }, { "id": "task1420-0c5a2beec6db49dfba321fc1c19ca392", "input": "Problem: a certain sum of money is divided among a , b and c so that for each rs . a has , b has 65 paisa and c 40 paisa . if c ' s share is rs . 24 , find the sum of money ? \nOptions: a ) 288 , b ) 262 , c ) 72 , d ) 123 , e ) 267", "output": [ "d" ] }, { "id": "task1420-ebce00470167400e8ec4cb285b1533a5", "input": "Problem: a couple decides to have 4 children . if they succeed in having 4 children and each child is equally likely to be a boy or a girl , what is the probability that they will have exactly 2 girls and 2 boys ? \nOptions: a ) 3 / 8 , b ) 1 / 4 , c ) 3 / 16 , d ) 1 / 8 , e ) 1 / 16", "output": [ "a" ] }, { "id": "task1420-4903b0e416974e9ab34a71899ed28194", "input": "Problem: in a mixture of 45 litres the ratio of milk to water is 4 : 1 . additional 23 litres of water is added to the mixture . find the ratio of milk to water in the resulting mixture . \nOptions: a ) 9 / 8 , b ) 4 / 1 , c ) 2 / 3 , d ) 3 / 4 , e ) 3 / 2", "output": [ "a" ] }, { "id": "task1420-3316f433f66846aebcc595802f922853", "input": "Problem: total 30 cows 10 cow gives each 2 liter milk 10 cow gives each 3 / 4 liter milk 10 cow gives each 1 / 4 liter milk this is split into 3 son per each 10 cows & 10 liter milk how ? \nOptions: a ) 10 , b ) 12 , c ) 15 , d ) 16 , e ) 18", "output": [ "a" ] }, { "id": "task1420-30e1df076e684c23a7cac9fb8763fba0", "input": "Problem: a two - digit number is such that the product of the digits is 8 . when 18 is added to the number , then the digits are reversed . the number is : \nOptions: a ) 32 , b ) 24 , c ) 12 , d ) 7 , e ) 45", "output": [ "b" ] }, { "id": "task1420-27ce969f85b94a01867e763df03c2783", "input": "Problem: if | 7 x + 2 | = 16 , then find the product of the values of x ? \nOptions: a ) - 5.14 , b ) 6.19 , c ) - 7.18 , d ) - 8.62 , e ) 5.69", "output": [ "a" ] }, { "id": "task1420-1cfca66661fb400d97617264841041da", "input": "Problem: a certain company retirement plan has arule of 70 provision that allows an employee to retire when the employee ' s age plus years of employment with the company total at least 70 . in what year could a female employee hired in 1987 on her 32 nd birthday first be eligible to retire under this provision ? \nOptions: a ) 2003 , b ) 2004 , c ) 2005 , d ) 2006 , e ) 2007", "output": [ "d" ] }, { "id": "task1420-99f4284db4024449896d829caa51c46d", "input": "Problem: when a certain number x is divided by 61 , the remainder is 24 . what is the remainder when x is divided by 5 ? \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6", "output": [ "c" ] }, { "id": "task1420-2ac887c054e2441fa01775a291268bd2", "input": "Problem: if 300 ! / 10 ^ n is an integer , what is the largest possible value of n ? \nOptions: a ) 75 , b ) 74 , c ) 79 , d ) 77 , e ) 72", "output": [ "d" ] }, { "id": "task1420-42d5a7b25581427eb533d77c37e95df5", "input": "Problem: what is the remainder of g = 3 ^ 19 when divided by 10 ? \nOptions: a ) 0 , b ) 1 , c ) 5 , d ) 7 , e ) 9", "output": [ "d" ] }, { "id": "task1420-42a0be25afcb494a86888bb9ec9ba77a", "input": "Problem: the average age of a group of 12 students is 20 years . if 4 more students join the group , the average age increases by 1 year . the average age of the new students is \nOptions: a ) 22 , b ) 23 , c ) 24 , d ) 25 , e ) 26", "output": [ "c" ] }, { "id": "task1420-50b441c873334de6ae6fd270090fb46e", "input": "Problem: the difference between a number and its two - fifth is 45 . what is the number ? \nOptions: a ) 76 , b ) 56 , c ) 88 , d ) 66 , e ) 75", "output": [ "e" ] }, { "id": "task1420-4e2d80575ebb433f9c58a96f2d1c2409", "input": "Problem: n and m are each 3 - digit integers . each of the numbers 2 , 3 , 4,5 , 6 , and 7 is a digit of either n or m . what is the smallest possible positive difference between n and m ? \nOptions: a ) 59 , b ) 49 , c ) 58 , d ) 113 , e ) 131", "output": [ "b" ] }, { "id": "task1420-c06f979d0015469d95d6ee81c65380de", "input": "Problem: 135 liters of a mixture of milk and water contains in the ratio 3 : 2 . how much water should now be added so that the ratio of milk and water becomes 3 : 4 ? \nOptions: a ) 12 liters , b ) 32 liters , c ) 41 liters , d ) 54 liters , e ) 34 liters", "output": [ "d" ] }, { "id": "task1420-dfc21e6687b44efabbe6c7c0b22047a9", "input": "Problem: in a 120 member association consisting of men and women , exactly 20 % of men and exactly 25 % women are homeowners . what is the least number of members who are homeowners ? \nOptions: a ) 49 , b ) 47 , c ) 25 , d ) 43 , e ) 41", "output": [ "c" ] }, { "id": "task1420-78655b261f6e474481fc6dbb69d3ffd6", "input": "Problem: for all positive integers m and v , the expression m θ v represents the remainder when m is divided by v . what is the value of ( ( 90 θ 33 ) θ 17 ) - ( 99 θ ( 33 θ 17 ) ) ? \nOptions: a ) 10 , b ) 8 , c ) 6 , d ) 4 , e ) 2", "output": [ "d" ] }, { "id": "task1420-3ccc931ee2944ee6b2e8c8d8d73a32f8", "input": "Problem: set j consists of 5 consecutive even numbers . if the smallest term in the set is - 2 , what is the range of the positive integers in set j ? \nOptions: a ) 0 , b ) 2 , c ) 4 , d ) 6 , e ) 8", "output": [ "c" ] }, { "id": "task1420-4eb630045bec4b28821a6cb03a1758e3", "input": "Problem: each week , harry is paid x dollars per hour for the first 30 hours and 1.5 x dollars for each additional hour worked that week . each week , annie is paid x dollars per hour for the first 40 hours and 2 x dollars for each additional hour worked that week . last week annie worked a total of 53 hours . if harry and annie were paid the same amount last week , how many hours did harry work last week ? \nOptions: a ) 48 , b ) 50 , c ) 52 , d ) 54 , e ) 56", "output": [ "d" ] }, { "id": "task1420-a2e5e46f3ed94c4082ec4e74bf500389", "input": "Problem: a student , after his teacher ' s question , chose a number , multiplied it by 2 , then subtracted 138 from the result and got 102 . what was the number he chose ? \nOptions: a ) 344 , b ) 251 , c ) 411 , d ) 212 , e ) 120", "output": [ "e" ] }, { "id": "task1420-d9db4cb1d5ba4aeea97b509cd579650f", "input": "Problem: the average weight of a group of boys is 30 kg . after a boy of weight 45 kg joins the group , the average weight of the group goes up by 1 kg . find the number of boys in the group originally ? \nOptions: a ) 14 , b ) 15 , c ) 16 , d ) 17 , e ) 18", "output": [ "a" ] }, { "id": "task1420-0e8e0f496b2744ec87f80b8edcbff30e", "input": "Problem: the number 189 is equal to the sum of the cubes of two integers . what is the product of those integers ? \nOptions: a ) 8 , b ) 15 , c ) 20 , d ) 27 , e ) 39", "output": [ "c" ] }, { "id": "task1420-85e65eda1e5c400f9b60b40d36467eb5", "input": "Problem: tough and tricky questions : mixture problems . a drink holding 6 ounces of an alcoholic drink that is 1 part rum to 2 parts coke is added to a jug holding 35 ounces of an alcoholic drink that is 1 part rum to 3 parts coke . what is the ratio of rum to coke in the resulting mixture ? \nOptions: a ) 2 : 5 , b ) 5 : 15 , c ) 3 : 5 , d ) 4 : 7 , e ) 14 : 5", "output": [ "b" ] }, { "id": "task1420-54a77f1922104c198ac6a4966bae13ce", "input": "Problem: how many positive integers h less than 10000 are such that the product of their digits is 210 ? \nOptions: a ) 24 , b ) 30 , c ) 48 , d ) 54 , e ) 72", "output": [ "d" ] }, { "id": "task1420-f9156c01923d45b684ee7e3ab3bf769b", "input": "Problem: suraj has a certain average of runs for 12 innings . in the 13 th innings he scores 96 runs thereby increasing his average by 5 runs . what is his average after the 13 th innings ? \nOptions: a ) 48 , b ) 64 , c ) 36 , d ) 72 , e ) 27", "output": [ "c" ] }, { "id": "task1420-8d0ac87f5a0a4a5e8fb96b07396aecc6", "input": "Problem: if 3 ^ x * 4 ^ y = 4 , 782,969 and x – y = 14 , then x = ? \nOptions: a ) 10 , b ) 11 , c ) 12 , d ) 13 , e ) 14", "output": [ "e" ] }, { "id": "task1420-54e32fb27df34b3c8ceff62f07e142d1", "input": "Problem: the sum of the squares of three numbers is 41 , while the sum of their products taken two at a time is 20 . their sum is : \nOptions: a ) 10 , b ) 5 , c ) 9 , d ) 15 , e ) none of these", "output": [ "c" ] }, { "id": "task1420-9857765ff8be4ea7a3e2db0a7fcd12ff", "input": "Problem: the population of a bacteria culture doubles every 5 minutes . approximately how many minutes will it take for the population to grow from 1,000 to 500,000 bacteria \nOptions: a ) 10 , b ) 12 , c ) 14 , d ) 16 , e ) 45", "output": [ "e" ] }, { "id": "task1420-21297137800f48cebf3a21528a0548e0", "input": "Problem: if d = 1 / ( 2 ^ 3 * 5 ^ 8 ) is expressed as a terminating decimal , how many nonzero digits will d have ? \nOptions: a ) one , b ) two , c ) three , d ) seven , e ) ten", "output": [ "b" ] }, { "id": "task1420-17bda575fe1041af8d75ceedd6df182b", "input": "Problem: the price of a certain painting increased by 10 % during the first year and decreased by 15 % during the second year . the price of the painting at the end of the 2 - year period was what percent of the original price ? \nOptions: a ) 102 % , b ) 105 % , c ) 95 % , d ) 93.5 % , e ) 90 %", "output": [ "d" ] }, { "id": "task1420-d66c6208ff684a49b404c8fa296c3714", "input": "Problem: car a travels at 3 times the average speed of car b . car a started to travel at 12 : 00 o ' clock , car b started to travel at 16 : 00 o ' clock . what is the speed of car b ( in km / h ) if the total distance that both cars traveled until 18 : 00 was 1000 km ? \nOptions: a ) 10 . , b ) 25 . , c ) 30 . , d ) 38 , e ) 50 .", "output": [ "e" ] }, { "id": "task1420-41bf3e0b33d146d7bec869d7c1bd85bd", "input": "Problem: the sum of the numbers is 550 . if the first number be twice the second and third number be one - third of the first , then the second number is : \nOptions: a ) 48 , b ) 150 , c ) 72 , d ) 84 , e ) 27", "output": [ "b" ] }, { "id": "task1420-e50418e42241408a98d5602bdcc97439", "input": "Problem: according to the directions on a packet of smoothie mix , 1 3 - ounce packet of smoothie mix is to be combined with 15 ounces of water to make a smoothie . how many 3 - ounce packets of smoothie mix are required to prepare 150 12 - ounce smoothies ? \nOptions: a ) 120 , b ) 150 , c ) 180 , d ) 240 , e ) 600", "output": [ "c" ] }, { "id": "task1420-0b9f02e4a5af48ec9b0115da481ee542", "input": "Problem: a car ferry can hold up to 70 tons of cargo . what is the greatest number of vehicles that the ferry can carry if half the vehicles are cars with an average ( arithmetic mean ) weight of 0.75 tons and half of the vehicles are trucks with an average ( arithmetic mean ) weight of 4 tons ? \nOptions: a ) 14 , b ) 20 , c ) 28 , d ) 32 , e ) 36", "output": [ "c" ] }, { "id": "task1420-a9964eb75dd449a7870720093a7723bb", "input": "Problem: if x / y = 8 / 7 , then ( 7 x + 6 y ) / ( 7 x â € “ 6 y ) = ? \nOptions: a ) 11 , b ) 8 , c ) 9 , d ) 7 , e ) 6", "output": [ "d" ] }, { "id": "task1420-f8a4ef81452745509256ca766bcd596e", "input": "Problem: a special municipal payroll tax charges not tax on a payroll less than $ 200,000 and only 0.1 % on a company ’ s payroll above $ 200,000 . if belfried industries paid $ 400 in this special municipal payroll tax , then they must have had a payroll of ? \nOptions: a ) $ 180,000 , b ) $ 202,000 , c ) $ 220,000 , d ) $ 400,000 , e ) $ 600,000", "output": [ "e" ] }, { "id": "task1420-2a7fa9d404604b3990d9dbcbcaa2a781", "input": "Problem: 50 % of x is greater than 1 / 3 rd of x by 110 . what is x ? \nOptions: a ) 100 , b ) 200 , c ) 300 , d ) 350 , e ) 660", "output": [ "e" ] }, { "id": "task1420-1839dc892b9e44cd98db9230a46d2829", "input": "Problem: the element being searched for is not found in an array of 100 elements . what is the average number of comparisons needed in a sequential search to determine that the element is not there , if the elements are completely unordered ? \nOptions: a ) 25 , b ) 50 , c ) 75 , d ) 100 , e ) 125", "output": [ "d" ] }, { "id": "task1420-297ef71cf5e2448395423bf1e8c73bde", "input": "Problem: 1370 , 1320 , x , - 180 , - 6430 \nOptions: a ) 1070 , b ) 6530 , c ) 6630 , d ) 6730 , e ) 6830", "output": [ "a" ] }, { "id": "task1420-edae03f6b14d45508ac17d6dfe8ca74f", "input": "Problem: a number , when 35 is subtracted from it , reduces to its 80 percent . what is 4 - fifth of that number ? \nOptions: a ) 130 , b ) 155 , c ) 490 , d ) 140 , e ) 160", "output": [ "d" ] }, { "id": "task1420-0b3dedc2e6d64fc880606e52d1e29d1b", "input": "Problem: the contents of a certain box consist of 40 apples and 30 oranges . how many oranges must be added to the box so that exactly 40 % of the pieces of fruit in the box will be apples ? \nOptions: a ) 40 , b ) 50 , c ) 60 , d ) 70 , e ) 30", "output": [ "e" ] }, { "id": "task1420-a1fb4ada3e6a4914a2852bddcf151df1", "input": "Problem: a collection of books went on sale , and 2 / 3 of them were sold for $ 2.00 each . if none of the 36 remaining books were sold , what was the total amount received for the books that were sold ? \nOptions: a ) $ 144 , b ) $ 135 , c ) $ 90 , d ) $ 60 , e ) $ 54", "output": [ "a" ] }, { "id": "task1420-d9baddadaac6427aa83091725c3a2185", "input": "Problem: if f ( x ) = 12 - x ^ 2 / 2 and f ( 2 k ) = 6 k , what is one possible value for k ? \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 6 , e ) 8", "output": [ "d" ] }, { "id": "task1420-68794f3bd99642a99c462cab0e86bc5c", "input": "Problem: for any integer p , * p is equal to the product of all the integers between 1 and p , inclusive . how many prime numbers are there between * 8 + 3 and * 8 + 8 , inclusive ? \nOptions: a ) none , b ) one , c ) two , d ) three , e ) four", "output": [ "a" ] }, { "id": "task1420-bb44bb56de6e49888ea9bcc2249fc362", "input": "Problem: 2.505 / 10.02 = \nOptions: a ) 0.35 , b ) 0.3505 , c ) 0.25 , d ) 0.351 , e ) 0.3527", "output": [ "c" ] }, { "id": "task1420-e77bf2d4bdcd409783f576e44d2203b1", "input": "Problem: for any number z , z * is defined as the greatest positive even integer less than or equal to y . what is the value of 6.25 – 6.25 * ? \nOptions: a ) 1.5 , b ) 0.5 , c ) 6.25 , d ) 0.25 , e ) 6.0", "output": [ "d" ] }, { "id": "task1420-b376180cdf954cdf922c9a32be4a2be6", "input": "Problem: from a total of 5 boys and 6 girls , how many 4 - person committees can be selected if the committee must have exactly 2 boys and 2 girls ? \nOptions: a ) 16 , b ) 24 , c ) 60 , d ) 120 , e ) 150", "output": [ "e" ] }, { "id": "task1420-75a380b566b34ee48ed4828230ba4af5", "input": "Problem: a bus starts from city x . the number of women in the bus is half of the number of men . in city y , 16 men leave the bus and 8 women enter . now , number of men and women is equal . in the beginning , how many passengers entered the bus ? \nOptions: a ) 15 , b ) 30 , c ) 36 , d ) 72 , e ) 46", "output": [ "d" ] }, { "id": "task1420-75516d2b500741d5b56083c2be47e0cb", "input": "Problem: ifaequals the sum of the even integers from 2 to 20 , inclusive , andbequals the sum of the odd integers from 1 to 19 , inclusive , what is the value of b - a ? \nOptions: a ) - 10 , b ) 10 , c ) - 19 , d ) 20 , e ) 21", "output": [ "a" ] }, { "id": "task1420-6f7148af83c445049e742388e9009ab9", "input": "Problem: sally has a gold credit card with a certain spending limit , and a platinum card with twice the spending limit of the gold card . currently , she has a balance on her gold card that is 1 / 3 of the spending limit on that card , and she has a balance on her platinum card that is 1 / 8 of the spending limit on that card . if sally transfers the entire balance on her gold card to her platinum card , what portion of her limit on the platinum card will remain unspent ? \nOptions: a ) 11 / 30 , b ) 29 / 60 , c ) 17 / 24 , d ) 19 / 30 , e ) 11 / 15", "output": [ "c" ] }, { "id": "task1420-20436b6fabb64e48a8969107288582d7", "input": "Problem: if 22 percent of the students at a certain school went to a camping trip and took more than $ 100 , and 75 percent of the students who went to the camping trip did not take more than $ 100 , what percentage of the students at the school went to the camping trip ? \nOptions: a ) 95 , b ) 90 , c ) 88 , d ) 80 , e ) 75", "output": [ "c" ] }, { "id": "task1420-14f56398098a43cba7353a66565947e5", "input": "Problem: the tax on a commodity is diminished by 30 % but its consumption is increased by 20 % . find the decrease percent in the revenue derived from it ? \nOptions: a ) 18 % , b ) 72 % , c ) 32 % , d ) 16 % , e ) 52 %", "output": [ "d" ] }, { "id": "task1420-d0d32e3e2e3c448fab5a18113ba60a27", "input": "Problem: a student took 6 courses last year and received an average ( arithmetic mean ) grade of 100 points . the year before , the student took 5 courses and received an average grade of 60 points . to the nearest tenth of a point , what was the student ’ s average grade for the entire two - year period ? \nOptions: a ) 79 , b ) 89 , c ) 95 , d ) 81.81 , e ) 97.2", "output": [ "d" ] }, { "id": "task1420-9a949deedcb24101bfc885d5d3d8eac8", "input": "Problem: the difference between a number and its two - fifth is 510 . what is 12 % of that number ? \nOptions: a ) 58 , b ) 110 , c ) 76 , d ) 102 , e ) 86", "output": [ "d" ] }, { "id": "task1420-5fcaab04c06c47f989492b9b7874b76f", "input": "Problem: the average score of a cricketer in 2 matches is 20 and in other 3 matches is 30 . then find the average score in all the 5 matches ? \nOptions: a ) 26 , b ) 27 , c ) 30 , d ) 35 , e ) 42", "output": [ "a" ] }, { "id": "task1420-938d9d66788942be8775420ac2f1fd2e", "input": "Problem: if x and y are integers such that x ^ 2 = 3 y and xy = 36 , then x – y = ? \nOptions: a ) - 30 , b ) - 20 , c ) - 5 , d ) 5 , e ) 0", "output": [ "e" ] }, { "id": "task1420-2521deb9d14b408cb7a6f3f38ca1f2a2", "input": "Problem: students at a school were on average 180 cm tall . the average female height was 170 cm , and the average male height was 184 cms . what was the ratio s of men to women ? \nOptions: a ) 5 : 2 , b ) 5 : 1 , c ) 4 : 3 , d ) 4 : 1 , e ) 3 : 1", "output": [ "a" ] }, { "id": "task1420-12fc0d31714d48f5b56a0840bde5bf73", "input": "Problem: if p / q = 5 / 4 , then 2 p + q = ? \nOptions: a ) 12 , b ) 14 , c ) 13 , d ) 15 , e ) 16", "output": [ "b" ] }, { "id": "task1420-e31ae1eb314441da9ae588cdd4ae2a45", "input": "Problem: a number is greater than 3 but less than 8 . also the number is greater than 6 but less than 10 . what is the number ? \nOptions: a ) 5 , b ) 7 , c ) 6 , d ) 8 , e ) 9", "output": [ "b" ] }, { "id": "task1420-7484b3e408fc4328b13503b0f45f1daf", "input": "Problem: in what ratio p : q should the mixture p of milk and water in the ratio of 6 : 1 be mixed with another mixture q of milk and water in the ratio 3 : 4 so that the resultant mixture contains equal quantities of milk and water ? \nOptions: a ) 1 : 3 , b ) 1 : 4 , c ) 1 : 5 , d ) 2 : 5 , e ) 3 : 4", "output": [ "c" ] }, { "id": "task1420-5ed69cf2106a41e689e67866781a4bb3", "input": "Problem: following an increase in prices , the price of a candy box was 10 pounds and the price of a can of soda was 15 pounds . if the price of a candy box was raised by 25 % , and the price of a can of soda was raised by 50 % . what was the price of a box of candy plus a can of soda before prices were raised ? \nOptions: a ) 11 . , b ) 12 . , c ) 13 . , d ) 18 . , e ) 14.5", "output": [ "d" ] }, { "id": "task1420-9da59db6cf7c430e84c684b0054d1b10", "input": "Problem: 11 + 12 + 13 + . . . 51 + 52 = ? \nOptions: a ) 1361 , b ) 1362 , c ) 1323 , d ) 1364 , e ) 1365", "output": [ "c" ] }, { "id": "task1420-dc93228345e8439c9915a6026fca975f", "input": "Problem: what is the sum of the digits of integer k , if k = ( 10 ^ 40 - 79 ) \nOptions: a ) 345 , b ) 340 , c ) 343 , d ) 349 , e ) 338", "output": [ "a" ] }, { "id": "task1420-98986988329f42579d5eedda4f6e819c", "input": "Problem: if x > 0 , x / 5 + x / 25 is what percent of x ? \nOptions: a ) 6 % , b ) 24 % , c ) 37 1 / 2 % , d ) 60 % , e ) 75 %", "output": [ "b" ] }, { "id": "task1420-f55d4d01f1ff45adb71ab5ffb4baf925", "input": "Problem: the average weight of 10 persons increases by 4.2 kg when a new person comes in place of one of them weighing 65 kg . what might be the weight of the new person ? \nOptions: a ) 107 kg , b ) 80 kg , c ) 120 kg , d ) 90 kg , e ) 100", "output": [ "a" ] }, { "id": "task1420-55e6d82d3fd942a7b2484fd3698911d9", "input": "Problem: a trail mix company keeps costs down by employing the peanuts : cashews : almonds ratio of 10 : 4 : 1 in each bag of up to 75 total nuts . what is the maximum percentage by which the company could decrease its number of peanuts per bag and still have peanuts constitute more than half the total amount of nuts ? \nOptions: a ) 40 % , b ) 48 % , c ) 49 % , d ) 50 % , e ) 58 %", "output": [ "b" ] }, { "id": "task1420-9a896628f02d4cf4833795188d66ad55", "input": "Problem: a box contains 10 tablets of medicine a and 10 tablets of medicine b . what is the least number of tablets that should be taken from the box to ensure that at least two tablets of each kind are among the extracted . \nOptions: a ) 12 , b ) 15 , c ) 17 , d ) 19 , e ) 21", "output": [ "a" ] }, { "id": "task1420-aa6aef1b5aea4bb58b1221a30200629c", "input": "Problem: working alone , printers x , y , and z can do a certain printing job , consisting of a large number of pages , in 12 , 16 , and 18 hours , respectively . what is the ratio of the time it takes printer x to do the job , working alone at its rate , to the time it takes printers y and z to do the job , working together at their individual rates ? \nOptions: a ) 4 / 11 , b ) 1 / 2 , c ) 15 / 22 , d ) 144 / 17 , e ) 11 / 4", "output": [ "d" ] }, { "id": "task1420-cfb0f5f3307f409ca1ccdd3ee8cab306", "input": "Problem: calculate the average of first 18 even numbers is ? \nOptions: a ) 21 , b ) 29 , c ) 19 , d ) 14 , e ) 10", "output": [ "c" ] }, { "id": "task1420-8f03f6750c884e83bc80fac3ba93f7fd", "input": "Problem: two - third of a positive number and 16 / 216 of its reciprocal are equal . find the positive number . \nOptions: a ) 4 / 12 , b ) 4 / 17 , c ) 4 / 15 , d ) 4 / 11 , e ) 4 / 03", "output": [ "a" ] }, { "id": "task1420-1c3da24758b743fd902f18d9d7da79c5", "input": "Problem: in a certain supermarket , a triangular display of cans is arranged in 10 rows , numbered 1 through 10 from top to bottom . each successively numbered row contains 3 more cans than the row immediately above it . if there are fewer than 150 cans in the entire display , how many cans are in the fifth row ? \nOptions: a ) 10 , b ) 11 , c ) 13 , d ) 14 , e ) 16", "output": [ "c" ] }, { "id": "task1420-4a7b639fa8314e11b421ac005aa24695", "input": "Problem: country x imported approximately $ 1.44 billion of goods in 1996 . if country x imported $ 488 million of goods in the first two months of 1997 and continued to import goods at the same rate for the rest of the year , by how much would country xs 1997 imports exceed those of 1996 ? \nOptions: a ) $ 1124 million , b ) $ 1120 million , c ) $ 1144 million , d ) $ 1240 million , e ) $ 1488 million", "output": [ "e" ] }, { "id": "task1420-289e14943cfe406d81c349da786ed1ea", "input": "Problem: a , b and c rents a pasture for rs . 638 . a put in 12 horses for 8 months , b 16 horses for 9 months and 18 horses for 6 months . how much should c pay ? \nOptions: a ) 270 , b ) 198 , c ) 676 , d ) 156 , e ) 122", "output": [ "b" ] }, { "id": "task1420-151c0c9e377648b2ab903a2d60476e26", "input": "Problem: a batch of cookies was divided amomg 3 tins : 2 / 3 of all the cookies were placed in either the blue or the green tin , and the rest were placed in the red tin . if 1 / 5 of all the cookies were placed in the blue tin , what fraction of the cookies that were placed in the other tins were placed in the green tin \nOptions: a ) 21 / 31 , b ) 9 / 4 , c ) 5 / 9 , d ) 7 / 5 , e ) 9 / 7", "output": [ "a" ] }, { "id": "task1420-d4cfb3501cd341ebafc45240fa33addb", "input": "Problem: when asked what the time is , a person answered that the amount of time left is 1 / 3 of the time already completed . what is the time . \nOptions: a ) 2 pm , b ) 9 pm , c ) 3 pm , d ) 8 pm , e ) 6 pm", "output": [ "e" ] }, { "id": "task1420-6278343e0e6749de8979e26b185bb49b", "input": "Problem: how many three - element subsets of { 5 , 6,7 , 8,9 } are there that do not contain the pair of elements 6 and 9 ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "e" ] }, { "id": "task1420-39d072a58e814a2cbfca6e60b1b10a9f", "input": "Problem: find large number from below question the difference of two numbers is 1365 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder \nOptions: a ) 1235 , b ) 1346 , c ) 1378 , d ) 1635 , e ) 1489", "output": [ "d" ] }, { "id": "task1420-6111146ece01435d9c063e9b822a0797", "input": "Problem: a $ 84.95 lawn chair was sold for $ 59.95 at a special sale . by approximately what percent was the price decreased ? \nOptions: a ) 15 % , b ) 20 % , c ) 25 % , d ) 29 % , e ) 80 %", "output": [ "d" ] }, { "id": "task1420-3a3a88d7e5dc43f0abe9f15a0e481109", "input": "Problem: the average of 13 result is 20 . average of the first 8 of them is 20 and that of the last 8 is 40 . find the 8 th result ? \nOptions: a ) 35 , b ) 37 , c ) 46 , d ) 90 , e ) 100", "output": [ "e" ] }, { "id": "task1420-401f002f397644e8b63bbf32af5e40b6", "input": "Problem: village p ’ s population is 1200 greater than village q ' s population . if village q ’ s population were reduced by 800 people , then village p ’ s population would be 6 times as large as village q ' s population . what is village q ' s current population ? \nOptions: a ) 1050 , b ) 1100 , c ) 1150 , d ) 1200 , e ) 1250", "output": [ "d" ] }, { "id": "task1420-3f7fa7110abc431aac8faaddb2e69faf", "input": "Problem: two ants , arthur and amy , have discovered a picnic and are bringing crumbs back to the anthill . amy makes twice as many trips and carries one and a half times as many crumbs per trip as arthur . if arthur carries a total of b crumbs to the anthill , how many crumbs will amy bring to the anthill , in terms of b ? \nOptions: a ) b / 2 , b ) b , c ) 3 b / 2 , d ) 2 b , e ) 3 b", "output": [ "e" ] }, { "id": "task1420-0da18f207ecf4276a8b5cef3327c6e36", "input": "Problem: the average score of a cricketer for 10 matches is 38.9 runs . if the average for the first 6 matches is 42 , then find the average for the last 4 matches . \nOptions: a ) 33.5 , b ) 33.5 , c ) 34.25 , d ) 35 , e ) none of these", "output": [ "c" ] }, { "id": "task1420-4fe53f6f0f5a4187a0f0ed4fc877340e", "input": "Problem: evaluate : 60 - 9 ÷ 3 × 6 = \nOptions: a ) 52 , b ) 18 , c ) 42 , d ) 102 , e ) 36", "output": [ "c" ] }, { "id": "task1420-e64c32e10a8f41d1a1e1b5ace032a0ec", "input": "Problem: 3 distinct single - digit numbers . a , b , c are in gp . if abs ( x ) for real x is the absolute value of x ( x if x is + ve or 0 and - x if x is - ve ) , then the number of different possible values of abs ( a + b + c ) is \nOptions: a ) 5 , b ) 6 , c ) 3 , d ) 4 , e ) 7", "output": [ "d" ] }, { "id": "task1420-49803c1275fa487a93f016dacbf0ee64", "input": "Problem: a house wife saved $ 4 in buying an item on sale . if she spent $ 28 for the item , approximately how much percent she saved in the transaction ? \nOptions: a ) 8 % , b ) 13 % , c ) 10 % , d ) 11 % , e ) 12 %", "output": [ "b" ] }, { "id": "task1420-3ddc1005f3ad43a3be7d87f8e9bcdbff", "input": "Problem: the average monthly income of p and q is rs . 2050 . the average monthly income of q and r is rs . 5250 and the average monthly income of p and r is rs . 6200 . the monthly income ofq is : \nOptions: a ) 1100 , b ) 2100 , c ) 1200 , d ) 3100 , e ) 1300", "output": [ "a" ] }, { "id": "task1420-85b57daf34c24735963f76b1c37e4b3b", "input": "Problem: ( 26.3 * 12 * 20 ) / 3 + 125 = ? \nOptions: a ) 2339 , b ) 2229 , c ) 4429 , d ) 5529 , e ) 2669", "output": [ "b" ] }, { "id": "task1420-454b7cda4f6044909521212cbbdec2e2", "input": "Problem: p , q and r have rs . 9000 among themselves . r has two - thirds of the total amount with p and q . find the amount with r ? \nOptions: a ) rs . 3000 , b ) rs . 3600 , c ) rs . 2400 , d ) rs . 4000 , e ) none of these", "output": [ "b" ] }, { "id": "task1420-c59bd72ec721480585143e50e2d23747", "input": "Problem: employees of a certain company are each to receive a unique 8 - digit identification code consisting of the digits 0 , 1 , 2 , 3 , 4 , 5 , 6 , and 7 such that no digit is used more than once in any given code . in valid codes , the second digit in the code is exactly twice the first digit . how many valid codes are there ? \nOptions: a ) 1220 , b ) 1840 , c ) 2160 , d ) 2480 , e ) 2760", "output": [ "c" ] }, { "id": "task1420-200056a2555249c0bfaf264ab3916c15", "input": "Problem: john found that the average of 15 numbers is 40 . if 12 is added to each number then the mean of number is ? \nOptions: a ) 52 , b ) 45 , c ) 65 , d ) 78 , e ) 64", "output": [ "a" ] }, { "id": "task1420-262a20dbec2f4b09bc000cf421fd5aaf", "input": "Problem: find the greatest number that will divide 48 , 210 and 136 leaving 4 , 12 and 4 as remainders respectively \nOptions: a ) 19 , b ) 17 , c ) 13 , d ) 22 , e ) 21", "output": [ "d" ] }, { "id": "task1420-739d89da99cd46279b22016560838bf4", "input": "Problem: a certain characteristic in a large population has a distribution that is symmetric about the mean m . if 68 % of the distribution lies one standard deviation h of the mean , what percent of the distribution is less than m + h ? \nOptions: a ) 16 % , b ) 32 % , c ) 48 % , d ) 84 % , e ) 92 %", "output": [ "d" ] }, { "id": "task1420-0ab97680c86346c3a54ed704f160ab19", "input": "Problem: a person travels from p to q a speed of 60 km / hr and returns by increasing his speed by 50 % . what is his average speed for both the trips ? \nOptions: a ) 33 , b ) 75 , c ) 48 , d ) 99 , e ) 21", "output": [ "b" ] }, { "id": "task1420-e6b3e56bcc1d45c8b95eff829d67c7d0", "input": "Problem: if 42.18 = k ( 14 + m / 50 ) , where k and m are positive integers and m < 50 , then what is the value of k + m ? \nOptions: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10", "output": [ "a" ] }, { "id": "task1420-a5ce1c26a9694dfa92a81f3c29f33b9a", "input": "Problem: √ ( 14 ) ^ 2 \nOptions: a ) 7 , b ) 14 , c ) 49 , d ) 21 , e ) none of these", "output": [ "b" ] }, { "id": "task1420-16de747e3f904e608ada76d062150ad5", "input": "Problem: in an exam , amar scored 64 percent , bhavan scored 36 percent and chetan 44 percent . the maximum score awarded in the exam is 900 . find the average mark scored by all the 3 boys ? \nOptions: a ) 384 , b ) 432 , c ) 207 , d ) 269 , e ) 208", "output": [ "b" ] }, { "id": "task1420-f12735ae6a514ba4becbdd358e64e5f2", "input": "Problem: the population of a town increased from 1 , 75,000 to 2 , 62,500 in a decade . the average percent increase of population per year is : \nOptions: a ) 1 % , b ) 2 % , c ) 3 % , d ) 5 % , e ) 4 %", "output": [ "d" ] }, { "id": "task1420-1d169730868f4cde87c8220dc59d99d5", "input": "Problem: andy solves problems 74 to 135 inclusive in a math exercise . how many problems does he solve ? \nOptions: a ) 53 , b ) 62 , c ) 51 , d ) 50 , e ) 49", "output": [ "b" ] }, { "id": "task1420-d8a0e296bd654d98a4cf5d7eb08a6216", "input": "Problem: the total car population in a chennai is 900 out of which 500 are made by honda . out of every 100 honda cars , 90 are red in color , but only 60 % of the total car population is red . find the % of non - honda cars that are red \nOptions: a ) 20.5 % , b ) 22.5 % , c ) 21.5 % , d ) 10.5 % , e ) 32.5 %", "output": [ "b" ] }, { "id": "task1420-96b0046db645404ca07c17b947e19a53", "input": "Problem: the sum of the squares of the first 15 positive integers ( 1 ^ 2 + 2 ^ 2 + 3 ^ 2 + . . . + 15 ^ 2 ) is equal to 1280 . what is the sum of the squares of the second 15 positive integers ( 16 ^ 2 + 17 ^ 2 + 18 ^ 2 + . . . + 30 ^ 2 ) ? \nOptions: a ) 2480 , b ) 3490 , c ) 6785 , d ) 8255 , e ) 9255", "output": [ "d" ] }, { "id": "task1420-e4930201e9cb4bab9779254087ec7915", "input": "Problem: if a 10 percent deposit that has been paid toward the purchase of a certain product is $ 130 , how much more remains to be paid ? \nOptions: a ) $ 880 , b ) $ 990 , c ) $ 1,000 , d ) $ 1,170 , e ) $ 1,210", "output": [ "d" ] }, { "id": "task1420-24a5b63a9d09467fbd515f8f52e6facc", "input": "Problem: in an it company , there are a total of 120 employees including 50 programmers . the number of male employees is 80 , including 35 male programmers . how many employees must be selected to guaranty that we have 3 programmers of the same sex ? \nOptions: a ) 10 , b ) 50 , c ) 55 , d ) 35 , e ) 75", "output": [ "e" ] }, { "id": "task1420-7c348f530b20469bbdf85fd8525845ad", "input": "Problem: if 13 = 13 w / ( 1 - w ) , then ( 5 w ) 2 = \nOptions: a ) 1 / 4 , b ) 5 , c ) 1 , d ) 2 , e ) 3", "output": [ "b" ] }, { "id": "task1420-f3f417228cec4d048cfa4a50bf0abc63", "input": "Problem: the average of temperatures at noontime from monday to friday is 60 ; the lowest one is 45 , what is the possible maximum range of the temperatures ? \nOptions: a ) 20 , b ) 25 , c ) 40 , d ) 45 , e ) 75", "output": [ "e" ] }, { "id": "task1420-086c95b2b3b64a6bb79519dfd0a61eb5", "input": "Problem: a woodworker normally makes a certain number of parts in 24 days . but he was able to increase his productivity by 5 parts per day , and so he not only finished the job in only 22 days but also he made 80 extra parts . how many parts does the woodworker normally makes per day and how many pieces does he make in 24 days ? \nOptions: a ) 360 , b ) 350 , c ) 340 , d ) 370 , e ) 380", "output": [ "a" ] }, { "id": "task1420-3a68e857b83144e082aa14d961271a14", "input": "Problem: if the price of a book is first decreased by 25 % and then increased by 20 % , then the net change in the price will be : \nOptions: a ) 10 , b ) 388 , c ) 37 , d ) 29 , e ) 22", "output": [ "a" ] }, { "id": "task1420-39bcff60c8b1464b8e2faf0f04e46dea", "input": "Problem: a car travels uphill at 30 km / hr and downhill at 90 km / hr . it goes 100 km uphill and 50 km downhill . find the average speed of the car ? \nOptions: a ) 32 kmph , b ) 39 kmph , c ) 34 kmph , d ) 35 kmph , e ) 36 kmph", "output": [ "b" ] }, { "id": "task1420-fde05a408ad241bcae38c57f33f53f1b", "input": "Problem: john was thrice as old as tom 6 years ago . john will be 7 / 5 times as old as tom in 6 years . how old is tom today ? \nOptions: a ) 7 , b ) 9 , c ) 11 , d ) 13 , e ) 15", "output": [ "b" ] }, { "id": "task1420-62bcbde70b58459da7f04256018a1ae2", "input": "Problem: machine x takes 60 hours longer than machine y to produce 1080 widgets . machine y produces 20 percent more widgets in an hour than machine x does in an hour . how many widgets per hour does machine x produce \nOptions: a ) 100 , b ) 65 , c ) 25 , d ) 11 , e ) 3", "output": [ "e" ] }, { "id": "task1420-e4f0280b9ce34eac82a1969ab471c3bb", "input": "Problem: calculate the largest 5 digit number which is exactly divisible by 77 ? \nOptions: a ) 99111 , b ) 99946 , c ) 99869 , d ) 99792 , e ) 99654", "output": [ "b" ] }, { "id": "task1420-70cee7449f6d4fe29fba1ae9b8cb3365", "input": "Problem: in a certain company , the ratio of the number of managers to the number of non - managers in any department must always be greater than 7 : 32 . in the company , what is the maximum number of non - managers in a department that has 8 managers ? \nOptions: a ) 35 , b ) 36 , c ) 37 , d ) 38 , e ) 39", "output": [ "b" ] }, { "id": "task1420-d8d3b43fd394410b854e251490cdd8b0", "input": "Problem: if 7 a - 3 b = 10 b + 50 = - 12 b - 2 a , what is the value of 9 a + 9 b ? \nOptions: a ) - 9 , b ) - 6 , c ) 0 , d ) 6 , e ) 9", "output": [ "c" ] }, { "id": "task1420-fcb87bc8512e4a24874bdcad001851bb", "input": "Problem: in a division sum , the remainder is 0 . as student mistook the divisor by 12 instead of 21 and obtained 70 as quotient . what is the correct quotient ? \nOptions: a ) 0 , b ) 12 , c ) 13 , d ) 40 , e ) 25", "output": [ "d" ] }, { "id": "task1420-935a0b52712a4231a9b29920e5ef50dc", "input": "Problem: 1398 x 1398 = ? \nOptions: a ) 1624404 , b ) 1851404 , c ) 1951404 , d ) 1954404 , e ) none of these", "output": [ "d" ] }, { "id": "task1420-95333aaf97a148b69db46da33e524a2d", "input": "Problem: what is the tens digit of 7 ^ 1001 ? \nOptions: a ) 0 , b ) 0 , c ) 2 , d ) 3 , e ) 4", "output": [ "b" ] }, { "id": "task1420-e57f2459ec3f4743bebf83cb04f20eaf", "input": "Problem: let p be a prime number . if n = 7 p , how many divisors does n have ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "b" ] }, { "id": "task1420-dd16ad3146104921928abd6735aa5496", "input": "Problem: what is the 8 th digit to the right of the decimal point in the decimal expansion of 1 / 37 ? \nOptions: a ) 0 , b ) 2 , c ) 4 , d ) 7 , e ) 9", "output": [ "b" ] }, { "id": "task1420-37bbddcd4f674f4d848496a4c57dbc74", "input": "Problem: the average runs of a cricket player of 13 innings was 22 . how many runs must he make in his next innings so as to increase his average of runs by 5 ? \nOptions: a ) 92 , b ) 42 , c ) 64 , d ) 76 , e ) 84", "output": [ "a" ] }, { "id": "task1420-1bf1381d8d53475489f5dd35de4896f2", "input": "Problem: a mixture of 180 liters of wine and water contains 20 % water . how much more water should be added so that water becomes 25 % of the new mixture ? \nOptions: a ) 4 liters , b ) 8 liters , c ) 10 liters , d ) 12 liters , e ) 12.5 liters", "output": [ "d" ] }, { "id": "task1420-85dee0c816f748aa8fa50a21dc249579", "input": "Problem: if 6 log ( 4 * 5 ^ 2 ) = x , find x \nOptions: a ) 10 , b ) 11 , c ) 7 , d ) 12 , e ) 9", "output": [ "d" ] }, { "id": "task1420-41ce946bb8ce4cb9800b096372c92c58", "input": "Problem: the population of a town increased from 1 , 24,300 to 1 , 62,400 in a decade . the average percent increase of population per year is : \nOptions: a ) 4.37 % , b ) 4 % , c ) 2.3 % , d ) 3.75 % , e ) none", "output": [ "c" ] }, { "id": "task1420-4a972dfc44c64f43a32a32fdcec57750", "input": "Problem: 5 kilograms of oranges contained 95 % of water . if the next day the concentration of water decreased by 5 % , what was the new weight of the oranges , in kilograms ? \nOptions: a ) 30 , b ) 25 , c ) 15 , d ) 10 , e ) 5", "output": [ "b" ] }, { "id": "task1420-95a1f5f4b1924bdb950c91d058d42428", "input": "Problem: a , b and c rents a pasture for rs . 899 . a put in 12 horses for 8 months , b 16 horses for 9 months and 18 horses for 6 months . how much should c pay ? \nOptions: a ) 270 , b ) 279 , c ) 267 , d ) 255 , e ) 552", "output": [ "b" ] }, { "id": "task1420-d45081a42c084aa2a3edf585878f4f30", "input": "Problem: a library has an average of 510 visitors on sundays and 240 on other days . what is the average number of visitors per day in a month of 30 days beginning with a sunday ? \nOptions: a ) 290 , b ) 304 , c ) 285 , d ) 270 , e ) 275", "output": [ "c" ] }, { "id": "task1420-bd8d5e9c74734f1f81b3427b6af3327f", "input": "Problem: there are 134 toys coloured red and white in a box . two red toys are removed from the lot and now there are twice as many red ones as white ones . how many of red colour toys are there now ? \nOptions: a ) 76 , b ) 86 , c ) 90 , d ) 88 , e ) 78", "output": [ "d" ] }, { "id": "task1420-faa1987742764497b4ea3d4780f9f580", "input": "Problem: in smithtown , the ratio of right - handed people to left - handed people is 3 to 1 and the ratio of men to women is 3 to 2 . if the number of right - handed men is maximized , then what s percent of all the people in smithtown are left - handed women ? \nOptions: a ) 50 % , b ) 40 % , c ) 25 % , d ) 20 % , e ) 10 %", "output": [ "c" ] }, { "id": "task1420-c5c6cb724c0f43878e16f995d315ed76", "input": "Problem: f 1 ( x ) f 1 ( x ) = 2 x - 1 and fn ( x ) = f 1 ( fn − 1 ( x ) ) fn ( x ) = f 1 ( fn − 1 ( x ) ) for n ≥ ≥ 2 . find f 5 ( 2 ) \nOptions: a ) 7 , b ) 6 , c ) 78 , d ) 9 , e ) 1", "output": [ "a" ] }, { "id": "task1420-ee58e68928f54098a66840bcbb6c1f4f", "input": "Problem: evaluate 100 / . 25 \nOptions: a ) 400 , b ) 510 , c ) 500 , d ) none of these , e ) 506", "output": [ "a" ] }, { "id": "task1420-9ce42e90edda4807afedbaf2b77aea9d", "input": "Problem: there are 16 bees in the hive , then 7 more fly . how many bees are there in all ? \nOptions: a ) 7 , b ) 23 , c ) 12 , d ) 17 , e ) 25", "output": [ "b" ] }, { "id": "task1420-3ae10a1e5e914c2ab57e60a7dc96ec5f", "input": "Problem: a pharmaceutical company received $ 3 million in royalties on the first $ 30 million in sales of and then $ 9 million in royalties on the next $ 120 million in sales . by approximately what percentage did the ratio of royalties to sales decrease from the first $ 30 million in sales to the next $ 120 million in sales ? \nOptions: a ) 8 % , b ) 15 % , c ) 25 % , d ) 52 % , e ) 56 %", "output": [ "c" ] }, { "id": "task1420-915597f817554b728aafe9e027d299c8", "input": "Problem: what is the units digit of the product of the first 100 odd numbers ? \nOptions: a ) 1 , b ) 3 , c ) 0 , d ) 5 , e ) 7", "output": [ "d" ] }, { "id": "task1420-eacb85289d9643d8a5e7a9c6b478128f", "input": "Problem: the contents of a certain box consist of 72 apples and 30 oranges . how many oranges must be added to the box so that exactly 30 % of the pieces of fruit in the box will be apples ? \nOptions: a ) 68 , b ) 78 , c ) 88 , d ) 138 , e ) 108", "output": [ "d" ] }, { "id": "task1420-4197f694c65e4de689092b21be24264d", "input": "Problem: when a random experiment is conducted , the probability that event a occurs is 1 / 5 . if the random experiment is conducted 5 independent times , what is the probability that event a occurs exactly twice ? \nOptions: a ) 36 / 625 , b ) 48 / 625 , c ) 64 / 625 , d ) 98 / 625 , e ) 128 / 625", "output": [ "e" ] }, { "id": "task1420-0fc1ed228add4817b587156b11a4f9d9", "input": "Problem: what least number must be added to 1049 , so that the sum is completely divisible by 25 ? \nOptions: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 1", "output": [ "e" ] }, { "id": "task1420-367ca8f610ca4b41b515d2da232fe80d", "input": "Problem: a vendor buys 10 t - shirts at an average price of $ 14 per t - shirt . he then buys 15 more t - shirts at an average price of $ 11 per t - shirt . what is the average price s per t - shirt that the vendor paid for these purchases ? \nOptions: a ) $ 12.20 , b ) $ 12.50 , c ) $ 12.55 , d ) $ 12.70 , e ) $ 13.00", "output": [ "a" ] }, { "id": "task1420-c70e9ce4b4bc47de979c5856f8f79fb2", "input": "Problem: a certain list consists of 21 different numbers . if n is in the list and n is 2 times the average ( arithmetic mean ) of the other 20 numbers in the list , then n is what fraction of the sum of the 21 numbers in the list ? \nOptions: a ) 1 / 20 , b ) 1 / 6 , c ) 1 / 11 , d ) 4 / 21 , e ) 5 / 21", "output": [ "c" ] }, { "id": "task1420-383f799d63434feeb3d0df01fe986035", "input": "Problem: 27 is a perfect cube . when x is added to the prime factor of 27 , the result is a prime number . what is x ? \nOptions: a ) 1 , b ) 3 , c ) 5 , d ) 8 , e ) 11", "output": [ "d" ] }, { "id": "task1420-45448a14ecd247889b4bfc6a33b8fb19", "input": "Problem: a cuban cigar would cost 3 dollar less than 1.5 times a french cigar , had the french cigar cost 0.7 dollar less than it does now . an arabian cigar costs 50 cents more than 1.5 times the cuban cigar . the 3 cigars together cost 74.7 dollars . what is the price of the french cigar ? \nOptions: a ) 19.7 $ . , b ) 23 $ . , c ) 14.7 $ . , d ) 35 $ . , e ) 37.4 $ .", "output": [ "c" ] }, { "id": "task1420-cc6daa8d48d843bb919f2ed8efafd6c7", "input": "Problem: each of the integers from 1 to 15 is written on the a seperate index card and placed in a box . if the cards are drawn from the box at random without replecement , how many cards must be drawn to ensure that the product of all the integers drawn is even ? \nOptions: a ) 9 , b ) 12 , c ) 11 , d ) 10 , e ) 3", "output": [ "a" ] }, { "id": "task1420-dea1c1100841400b8be70406623c59e1", "input": "Problem: how many even multiples of 55 are there between 549 and 1101 ? \nOptions: a ) 5 , b ) 6 , c ) 9 , d ) 10 , e ) 11", "output": [ "b" ] }, { "id": "task1420-2025130d6ab54be18be3fde9921a212a", "input": "Problem: what is the value of 3 x ^ 2 − 1.6 x + 0.3 for x = 0.8 ? \nOptions: a ) − 0.3 , b ) 0 , c ) 0.3 , d ) 0.94 , e ) 2.46", "output": [ "d" ] }, { "id": "task1420-0bba084b50cb4f259e0d235bc171fb43", "input": "Problem: find 60 / 42 * 4 \nOptions: a ) 14.7653 , b ) 0.5897 , c ) 3.6974 , d ) 0.3571 , e ) 1.2587", "output": [ "d" ] }, { "id": "task1420-5e6bf011b9c14e3897cf71d87011e231", "input": "Problem: n ^ ( n / 2 ) = 2 is true when n = 2 in the same way what is the value of n if n ^ ( n / 2 ) = 4 ? \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6", "output": [ "c" ] }, { "id": "task1420-ecbc73e3a06e492d90a9ce44ca558203", "input": "Problem: what is the smallest integer x such that 2 x + 2 is divisible by 33 , 44 , 55 , and 666 ? \nOptions: a ) x = 53186760 , b ) x = 26593379 , c ) x = 73260 , d ) x = 36629 , e ) x = 6666", "output": [ "d" ] }, { "id": "task1420-5db5ddd6f2144566abb8d2668d98c0b6", "input": "Problem: according to the directions on a packet of smoothie mix , 1 3 - ounce packet of smoothie mix is to be combined with 12 ounces of water to make a smoothie . how many 3 - ounce packets of smoothie mix are required to prepare 120 12 - ounce smoothies ? \nOptions: a ) 120 , b ) 150 , c ) 180 , d ) 240 , e ) 600", "output": [ "d" ] }, { "id": "task1420-485501e831fa45e480f48758328a1477", "input": "Problem: 18 men shake hands with each other . maximum no of handshakes without cyclic handshakes . \nOptions: a ) 190 , b ) 153 , c ) 210 , d ) 220 , e ) 230", "output": [ "b" ] }, { "id": "task1420-2127e3d66723478085ea23622b1d788a", "input": "Problem: if you write down all the numbers from 1 to 100 , then how many times do you write 1 ? \nOptions: a ) a ) 11 , b ) b ) 18 , c ) c ) 20 , d ) d ) 21 , e ) e ) 22", "output": [ "d" ] }, { "id": "task1420-bb0e746f9180485aaf564b5e5eda3542", "input": "Problem: if a ( a + 2 ) = 35 and b ( b + 2 ) = 35 , where a ≠ b , then a + b = \nOptions: a ) - 5 , b ) - 6 , c ) - 7 , d ) - 2 , e ) - 10", "output": [ "d" ] }, { "id": "task1420-7a7b019acfd449e5b6287474a1d55094", "input": "Problem: a man purchased 5 blankets @ rs . 100 each , 5 blankets @ rs . 150 each and two blankets at a certain rate which is now slipped off from his memory . but he remembers that the average price of the blankets was rs . 150 . find the unknown rate of two blankets ? \nOptions: a ) a ) 250 , b ) b ) 350 , c ) c ) 450 , d ) d ) 470 , e ) e ) 500", "output": [ "a" ] }, { "id": "task1420-11220b0515294b75a78808e6d015ad7a", "input": "Problem: 15 lts are taken of from a container full of liquid a and replaced with liquid b . again 15 more lts of the mixture is taken and replaced with liquid b . after this process , if the container contains liquid a and b in the ratio 9 : 16 , what is the capacity of the container q ? \nOptions: a ) a : 45 , b ) b : 25 , c ) c : 37.5 , d ) d : 36 , e ) e : 42", "output": [ "c" ] }, { "id": "task1420-7067610d802e4a01aace69bbe13831bb", "input": "Problem: list a consists of 12 consecutive integers . if - 4 is the least integer in list a , what is the range of positive integers in list a ? \nOptions: a ) 5 , b ) 6 , c ) 7 , d ) 11 , e ) 12", "output": [ "b" ] }, { "id": "task1420-8e1368593f5343bca62843b347cc12a6", "input": "Problem: of the 3,600 employees of company x , 1 / 3 are clerical . if the clerical staff were to be reduced by 1 / 3 , what percent of the total number of the remaining employees would then be clerical ? \nOptions: a ) 25 % , b ) 22.2 % , c ) 20 % , d ) 12.5 % , e ) 11.1 %", "output": [ "a" ] }, { "id": "task1420-8bacdc0e88bb4682b356baa04c7df459", "input": "Problem: there is a 30 % increase in the price of an article in the first year , a 20 % decrease in the second year and a 10 % increase in the next year . if the final price of the article is rs . 3432 , then what was the price of the article initially ? \nOptions: a ) rs . 2000 , b ) rs . 4000 , c ) rs . 3000 , d ) rs . 5000 , e ) rs . 6000", "output": [ "c" ] }, { "id": "task1420-dd481f51fe9c438f9c817a1e8be8f1f6", "input": "Problem: how many 3 - digit numbers can be formed from the digits 2 , 3 , 5 , 6 , 7 and 9 , which are divisible by 5 and none of the digits is repeated ? \nOptions: a ) 5 , b ) 4 , c ) 20 , d ) 25 , e ) 30", "output": [ "c" ] }, { "id": "task1420-2481b21313af444b86d859a2cc33be04", "input": "Problem: ( 208 % of 1265 ) ÷ 6 = ? \nOptions: a ) a ) 125 , b ) b ) 439 , c ) c ) 225 , d ) d ) 375 , e ) e ) 524", "output": [ "b" ] }, { "id": "task1420-1863149ce77d45dab118b21284f5c4d0", "input": "Problem: a student got 72 % in math and 84 % in history . to get an overall average of 75 % , how much should the student get in the third subject ? \nOptions: a ) 65 % , b ) 67 % , c ) 69 % , d ) 71 % , e ) 73 %", "output": [ "c" ] }, { "id": "task1420-3105852199e44a57b968409266ada151", "input": "Problem: linda spent 3 / 4 of her savings on furniture and the rest on a tv . if the tv cost her $ 240 , what were her original savings ? \nOptions: a ) $ 900 , b ) $ 800 , c ) $ 960 , d ) $ 700 , e ) $ 1500", "output": [ "c" ] }, { "id": "task1420-d5ec6742a1e646cba31302a5ad580b18", "input": "Problem: a pharmaceutical company received $ 3 million in royalties on the first $ 20 million in sales of and then $ 9 million in royalties on the next $ 102 million in sales . by approximately what percentage did the ratio of royalties to sales decrease from the first $ 20 million in sales to the next $ 102 million in sales ? \nOptions: a ) 8 % , b ) 15 % , c ) 40 % , d ) 52 % , e ) 56 %", "output": [ "c" ] }, { "id": "task1420-6e45c5bab9034eca846157e2155ed3bb", "input": "Problem: the difference between the value of a number increased by 12.5 % and the value of the original number decreased by 25 % is 30 . what is the original number ? \nOptions: a ) 60 , b ) 80 , c ) 40 , d ) 120 , e ) 160", "output": [ "b" ] }, { "id": "task1420-b360e0e8da144a36b864104dbe3f9c43", "input": "Problem: the sum of the even numbers between 1 and k is 79 * 80 , where k is an odd number , then k = \nOptions: a ) 79 , b ) 80 , c ) 81 , d ) 157 , e ) 159", "output": [ "e" ] }, { "id": "task1420-01af89d1ef4c47f6a25f572dae86cf3c", "input": "Problem: how many points ( x , y ) lie on the line segment between ( 32 , 12 2 / 3 ) and ( 7 , 17 2 / 3 ) such that x and y are both integers ? \nOptions: a ) one , b ) 4 , c ) 5 , d ) 8 , e ) 9", "output": [ "c" ] }, { "id": "task1420-27f6a4627d41480f8edcf082ca457439", "input": "Problem: if 522 x is a 3 digit no . with as a digit x . if the no . is divisible by 6 , what is the value of the digit x is ? \nOptions: a ) 1 , b ) 6 , c ) 4 , d ) 7 , e ) 9", "output": [ "b" ] }, { "id": "task1420-1b2af039167741caba28ea6e3a72e975", "input": "Problem: a man engaged a servant on the condition that he would pay him rs . 500 and a uniform after one year service . he served only for 9 months and received uniform and rs . 250 , find the price of the uniform ? \nOptions: a ) s . 80 , b ) s . 85 , c ) s . 90 , d ) s . 500 , e ) s . 120", "output": [ "d" ] }, { "id": "task1420-2d1875191a624f60803a810e109f7363", "input": "Problem: if a and b are the two values of t that satisfy the equation t ^ 2 â € “ 12 t + 20 = 0 , with a > b , what is the value of a â € “ b ? \nOptions: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 10", "output": [ "d" ] }, { "id": "task1420-4661deea90f0408ca06af3c1d988ed5c", "input": "Problem: a family pays $ 700 per year for an insurance plan that pays 70 percent of the first $ 1,000 in expenses and 100 percent of all medical expenses thereafter . in any given year , the total amount paid by the family will equal the amount paid by the plan when the family ' s medical expenses total how much ? \nOptions: a ) $ 1,100 , b ) $ 1,300 , c ) $ 1,400 , d ) $ 1,800 , e ) $ 2,200", "output": [ "b" ] }, { "id": "task1420-2c42871bd4cd44c082de4ec5076d3cb7", "input": "Problem: if a ( a - 6 ) = 7 and b ( b - 6 ) = 7 , where a ≠ b , then a + b = \nOptions: a ) − 48 , b ) − 2 , c ) 6 , d ) 9 , e ) 48", "output": [ "c" ] }, { "id": "task1420-670bc94fa5404c90ad508886d4bcfc7b", "input": "Problem: evaluate : 1234562 - 12 * 3 * 2 = ? \nOptions: a ) 32435453 , b ) 1234554 , c ) 76768786 , d ) 97979797 , e ) 75868656", "output": [ "b" ] }, { "id": "task1420-6ce524f91e7f4a3fb3f1c5a3d5f43e12", "input": "Problem: if a * b * c = 65 , b * c * d = 65 , c * d * e = 1000 and d * e * f = 250 the ( a * f ) / ( c * d ) = ? \nOptions: a ) 1 / 2 , b ) 1 / 4 , c ) 3 / 4 , d ) 2 / 3 , e ) none of these", "output": [ "b" ] }, { "id": "task1420-79272f15eea04566ab1a3494187bfb69", "input": "Problem: if money is invested at r percent interest , compounded annually , the amount of the investment will double in approximately 50 / r years . if luke ' s parents invested $ 11,500 in a long term bond that pays 12 percent interest compounded annually , what will be the approximate total amount of the investment 12 years later , when luke is ready for college ? \nOptions: a ) 62,000 , b ) 85,500 , c ) 95,500 , d ) 100,500 , e ) 100,000", "output": [ "c" ] }, { "id": "task1420-d978f42ca0a641ffb7e00ad8cb2b32ce", "input": "Problem: a car traveled 35 % of the way from town x to town y at an average speed of 35 mph . the car traveled at an average speed of v mph for the remaining part of the trip . the average speed for the entire trip was 50 mph . what is v in mph ? \nOptions: a ) 45 , b ) 65 , c ) 55 , d ) 75 , e ) 85", "output": [ "b" ] }, { "id": "task1420-35f946301d594881bbd170a441297c3e", "input": "Problem: following an increase in prices , the price of a candy box was 10 pounds and the price of a can of soda was 6 pounds . if the price of a candy box was raised by 25 % , and the price of a can of soda was raised by 50 % . what was the price of a box of candy plus a can of soda before prices were raised ? \nOptions: a ) 11 . , b ) 12 , c ) 13 , d ) 14 , e ) 14.5", "output": [ "b" ] }, { "id": "task1420-643a04f69fc44707b26f5c10d8c11366", "input": "Problem: the sum of two numbers is 64 , and one of them is 12 more than the other . what are the two numbers ? \nOptions: a ) 26 - 38 , b ) 50 - 34 , c ) 60 - 24 , d ) 42 - 42 , e ) 21 - 63", "output": [ "a" ] }, { "id": "task1420-391975be02954ae282aa27bf1762a769", "input": "Problem: jean drew a gumball at random from a jar of pink and blue gumballs . since the gumball she selected was blue and she wanted a pink one , she replaced it and drew another . the second gumball also happened to be blue and she replaced it as well . if the probability of her drawing the two blue gumballs was 25 / 49 , what is the probability that the next one she draws will be pink ? \nOptions: a ) 1 / 49 , b ) 2 / 7 , c ) 3 / 7 , d ) 16 / 49 , e ) 40 / 49", "output": [ "b" ] }, { "id": "task1420-4fb5486c0b714e998420dcaeffdf5709", "input": "Problem: a man is 24 years older than his son . in two years , his age will be twice the age of his son . the present age of the son is ? \nOptions: a ) 11 , b ) 25 , c ) 27 , d ) 22 , e ) 91", "output": [ "d" ] }, { "id": "task1420-52ec4c4006ed42e083f168f5f85325e7", "input": "Problem: if x is 20 percent more than y and y is 60 percent less than z , then x is what percent of z ? \nOptions: a ) 500 % , b ) 48 % , c ) 500 / 3 % , d ) 125 % , e ) 60 %", "output": [ "b" ] }, { "id": "task1420-14dd035ec14a49e986ae3a275cac5c1d", "input": "Problem: in a t . v . factory , an average of 63 tvs are produced per day for the fist 25 days of the months . a few workers fellill for the next 5 daysreducing the daily avg for the month to 58 sets / day . the average production per day for day last 5 days is ? \nOptions: a ) 35 , b ) 33 , c ) 48 , d ) 50 , e ) 52", "output": [ "b" ] }, { "id": "task1420-42839b83f6b94658aa71a0eba7fafd25", "input": "Problem: if 3 ^ x * 4 ^ y = 19683 and x – y = 9 , then x = ? \nOptions: a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 12", "output": [ "b" ] }, { "id": "task1420-1275ce2490114ea8b5682d5d29cd762f", "input": "Problem: gold is 19 times as heavy as water and copper is 9 times as heavy as water . in what ratio should these be mixed to get an alloy 18 times as heavy as water ? \nOptions: a ) 1 : 2 , b ) 3 : 2 , c ) 9 : 1 , d ) 5 : 2 , e ) 6 : 5", "output": [ "c" ] }, { "id": "task1420-a09d099288364c258d8138cbb7ddd00c", "input": "Problem: for the symbol , m ” n = n ^ 2 − m for all values of m and n . what is the value of 4 ” 2 ? \nOptions: a ) 5 , b ) 3 , c ) 2 , d ) 1 , e ) 0", "output": [ "e" ] }, { "id": "task1420-9b86a688827b41719a1d0e951b54abc8", "input": "Problem: the simple interest on a sum of money will be rs . 400 after 10 years . if the principal is trebled after 5 years what will be the total interest at the end of the tenth year ? \nOptions: a ) 800 , b ) 3799 , c ) 1200 , d ) 2693 , e ) 1732", "output": [ "a" ] }, { "id": "task1420-e79c655e5ca14b1fae061f17a3743623", "input": "Problem: two trains of equal are running on parallel lines in the same direction at 46 km / hr and 36 km / hr . the faster train passes the slower train in 54 sec . the length of each train is ? \nOptions: a ) 50 , b ) 26 , c ) 75 , d ) 28 , e ) 21", "output": [ "c" ] }, { "id": "task1420-0a17ffba9ad44fd5ae186a10782dc2bb", "input": "Problem: the average age of 30 students in a class is 14 years . if the age of teacher is also included , the average becomes 15 years , find the age of the teacher . \nOptions: a ) 43 , b ) 44 , c ) 45 , d ) 47 , e ) 48", "output": [ "c" ] }, { "id": "task1420-6e8ec05479354db0b3cd82e339cc938a", "input": "Problem: he number of times a bucket of capacity 4 liters to be used to fill up a tank is less than number of ties another bucket of capacity 3 liters used for the same purpose by 4 . what is the capacity of the tank ? \nOptions: a ) 360 liters , b ) 256 , c ) 48 , d ) 525 , e ) 425", "output": [ "c" ] }, { "id": "task1420-26ed7f8945684da9952ac52631d5b94e", "input": "Problem: if the range q of the 6 numbers 4 , 314 , 710 and x is 12 , what is the difference between the greatest possible value of x and least possible value of x ? \nOptions: a ) 0 , b ) 2 , c ) 12 , d ) 13 , e ) 15", "output": [ "d" ] }, { "id": "task1420-a7349e0b1b2447b8bc5e01db8f8e75f2", "input": "Problem: find the smallest number which when divided by 13 and 15 leaves respective remainders of 2 and 4 \nOptions: a ) 187 , b ) 197 , c ) 184 , d ) 219 , e ) 227", "output": [ "c" ] }, { "id": "task1420-a615d28ee56c4e3e90cb254f727a2d01", "input": "Problem: if 3 ^ x * 4 ^ y = 1 , 594,323 and x – y = 13 , then x = ? \nOptions: a ) 10 , b ) 11 , c ) 12 , d ) 13 , e ) 14", "output": [ "d" ] }, { "id": "task1420-3c1f77b5a2fb4e2dbae89367ac066a01", "input": "Problem: the population of a town increased from 1 , 75,000 to 2 , 10,000 in a decade . the average percent increase of population per year is \nOptions: a ) 2 % , b ) 5 % , c ) 6 % , d ) 8.75 % , e ) none", "output": [ "a" ] }, { "id": "task1420-603f9636a3bd487d9645cfef4f28b1e8", "input": "Problem: a library has an average of 510 visitors on sundays and 240 on other day . the average number of visitors in a month of 25 days starting with sunday is \nOptions: a ) 342 , b ) 285 , c ) 290 , d ) 295 , e ) 275", "output": [ "a" ] }, { "id": "task1420-67c955071bf948d7878eee2b1a5a56e7", "input": "Problem: in a school with 620 students , the average age of the boys is 12 years and that of the girls is 11 years . if the average age of the school is 11 years 9 months , then the number of girls in the school is \nOptions: a ) 150 , b ) 200 , c ) 155 , d ) 350 , e ) none", "output": [ "c" ] }, { "id": "task1420-1ab8b3404b1641808fa2e5e3c8550d03", "input": "Problem: at an upscale fast - food restaurant , shin can buy 3 burgers , 7 shakes , and one cola for $ 110 . at the same place it would cost $ 164.50 for 4 burgers , 10 shakes , and one cola . how much would it cost for a meal of one burger , one shake , and one cola ? \nOptions: a ) $ 1 , b ) $ 27 , c ) $ 31 , d ) $ 41 , e ) it can not be determined", "output": [ "a" ] }, { "id": "task1420-7a40e95daa5149a89237a995e580f056", "input": "Problem: an amount of rs . 3120 was divided among a , b and c , in the ratio 1 / 2 : 1 / 3 : 1 / 4 . find the share of c ? \nOptions: a ) 720 , b ) 360 , c ) 250 , d ) 280 , e ) 290", "output": [ "a" ] }, { "id": "task1420-fccc4cc0bee84ebeb8ba852ca2640324", "input": "Problem: joe ’ s average ( arithmetic mean ) test score across 4 equally weighted tests was 90 . he was allowed to drop his lowest score . after doing so , his average test score improved to 95 . what is the lowest test score that was dropped ? \nOptions: a ) 20 , b ) 25 , c ) 55 , d ) 75 , e ) 80", "output": [ "d" ] }, { "id": "task1420-7a974535c3d14647961d91fc00e592e3", "input": "Problem: how many integers between 324,700 and 418,600 have tens digit 1 and units digit 3 ? \nOptions: a ) 652 , b ) 827 , c ) 939 , d ) 1045 , e ) 1136", "output": [ "c" ] }, { "id": "task1420-703b335d8fb3497cae5899df2bf3e7e2", "input": "Problem: if ( c - a ) / ( c - b ) = 1 , then ( 5 b - 3 a ) / ( c - a ) = \nOptions: a ) 0.5 , b ) 1 , c ) 1.5 , d ) 2 , e ) 2.5", "output": [ "d" ] }, { "id": "task1420-9f384ca88bd34ba9a8cb7508db58f18c", "input": "Problem: if ( 2 ^ 14 ) ( 25 ^ s ) = 5 ( 10 ^ m ) what is the value of m ? \nOptions: a ) 7 , b ) 8 , c ) 15 , d ) 16 , e ) 14", "output": [ "e" ] }, { "id": "task1420-b6fad97076dd4c2bb9c0cacd8bbd0689", "input": "Problem: if 5 ^ 21 x 4 ^ 11 = 2 x 10 ^ n . what is the value of n ? \nOptions: a ) 11 , b ) 21 , c ) 22 , d ) 23 , e ) 32", "output": [ "b" ] }, { "id": "task1420-2d473fd805d64e36838c5275c6dd3c5b", "input": "Problem: when a natural number n is successively divided by 12 , 34 the remainders are 56 , 78 . what will be the sum of the remainders if the order of the division is reversed ? \nOptions: a ) 11 , b ) 12 , c ) 10 , d ) 2 , e ) 7", "output": [ "c" ] }, { "id": "task1420-e3ad6fc87d0740068378fbdbec3635fa", "input": "Problem: for each of her sales , a saleswoman receives a commission equal to 20 percent of the first $ 500 of the total amount of the sale , plus 25 percent of the total amount in excess of $ 500 . if the total amount of one of her sales was $ 800 , the saleswoman ’ s commission was approximately what percent of the total amount of the sale ? \nOptions: a ) 22 % , b ) 24 % , c ) 25 % , d ) 27 % , e ) 28 %", "output": [ "a" ] }, { "id": "task1420-de89087144b148e38a1879c08097fc8c", "input": "Problem: a vessel of capacity 2 litre has 30 % of alcohol and another vessel of capacity 6 litre had 40 % alcohol . the total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water . what is the new concentration of mixture ? \nOptions: a ) 30 % . , b ) 71 % . , c ) 49 % . , d ) 29 % . , e ) 51 % .", "output": [ "a" ] }, { "id": "task1420-6749418a673a4ab2b65878fbad93b33b", "input": "Problem: a man purchased earphone on friday . but he forgot how much it cost . the data he have are mean expenditure of all 7 days is 500 . expenditure on mon , tue , wed , thurs , sat , sun are 450600 , 400500 , 550300 . on friday he purchased 3 things one earphone , one pen and one notebook . pen cost 30 and notebook cost 50 . then what is cost of earphone ? \nOptions: a ) 620 , b ) 530 , c ) 450 , d ) 470 , e ) 500", "output": [ "a" ] }, { "id": "task1420-3e23d46b221040e68a45ac36cc08489c", "input": "Problem: calculate the share of y , if rs . 2880 is divided among x , y and z in the ratio 3 : 5 : 8 ? \nOptions: a ) 540 , b ) 520 , c ) 140 , d ) 560 , e ) 240", "output": [ "a" ] }, { "id": "task1420-f09a8cd5cfde4ae5a5c0063e34e6e7b0", "input": "Problem: how many numbers from 2 to 9 are exactly divisible by 2 ? \nOptions: a ) a ) 2 , b ) b ) 3 , c ) c ) 5 , d ) d ) 4 , e ) e ) 8", "output": [ "d" ] }, { "id": "task1420-4e429bc91c094b28977df1c4252c3b8f", "input": "Problem: when positive integer x is divided by positive integer y , the remainder is 8 . if x / y = 96.12 , what is the value of y ? \nOptions: a ) 96 , b ) 75 , c ) 66.7 , d ) 25 , e ) 12", "output": [ "c" ] }, { "id": "task1420-38ecfd3a125d4b3b8bcf054c88cf5e07", "input": "Problem: robert left from a pvt company . management hold his salary rs . 15000 / - for one month . earlier robert borrowed rs . 7280 / - from company . but robert forget that . after one month robert asked his salary and accountant gives rs . 18500 / - to him . what is the incentive amount given to robert ? \nOptions: a ) 9500 , b ) 12500 , c ) 10780 , d ) 10500 , e ) 8600", "output": [ "c" ] }, { "id": "task1420-109a3d1b6002466aacc3a1de3222184a", "input": "Problem: in the quadratic equation ax 2 - x - 12 = 0 , if the sum of two roots is 1 , what is the product of the two roots ? \nOptions: a ) - 12 , b ) - 6 , c ) 12 , d ) 6 , e ) 24", "output": [ "a" ] }, { "id": "task1420-e2ee99b2c4a441b09344b3aba0d4e72d", "input": "Problem: there is a escalator and 2 persons move down it . a takes 50 steps and b takes 75 steps while the escalator is moving down . given that the time taken by a to take 1 step is equal to time taken by b to take 3 steps . find the no . of steps in the escalator while it is staionary ? \nOptions: a ) 60 , b ) 70 , c ) 80 , d ) 90 , e ) 100", "output": [ "e" ] }, { "id": "task1420-8d84e0c4f2a5407c80ab1cf20a03a7f3", "input": "Problem: ages of two persons differ by 20 years . if 6 year ago , the elder one be 3 times as old the younger one , find their present age \nOptions: a ) 12,28 , b ) 14,30 , c ) 16,36 , d ) 18,34 , e ) 19,34", "output": [ "c" ] }, { "id": "task1420-502d79cb3c284e578db4f029f95202e2", "input": "Problem: the average ( arithmetic mean ) of the even integers from 20 to 60 inclusive is how much greater than the average ( arithmetic mean ) of the even integers from 10 to 140 inclusive ? \nOptions: a ) 40 , b ) 15 , c ) 35 , d ) 20 , e ) 25", "output": [ "c" ] }, { "id": "task1420-bd8c1977ce5240a9bccc654e9c29527d", "input": "Problem: find the average of all the numbers between 6 and 38 which are divisible by 4 . \nOptions: a ) 18 , b ) 22 , c ) 20 , d ) 30 , e ) 28", "output": [ "b" ] }, { "id": "task1420-ff71214621fa4830a31a221e32e77ca8", "input": "Problem: if x + ( 1 / x ) = 5 , what is the value of t = x ^ 2 + ( 1 / x ) ^ 2 ? \nOptions: a ) t = 21 , b ) t = 22 , c ) t = 23 , d ) 24 , e ) 27", "output": [ "c" ] }, { "id": "task1420-3a0b438b348d492cbb2e42400c7fb0e9", "input": "Problem: a city with a population of 160,080 is to be divided into 8 voting districts , and no district is to have a population that is more than 10 percent greater than the population of any other district . what is the minimum possible population that the least populated district could have ? \nOptions: a ) 18,200 , b ) 18,300 , c ) 18,400 , d ) 18,500 , e ) 18,600", "output": [ "c" ] }, { "id": "task1420-f2e4227f3fac4ef682bc6b0417ba966e", "input": "Problem: how many positive integers less than 1960 are such that the product of their digits is 10 . \nOptions: a ) 220 , b ) 230 , c ) 280 , d ) 220 , e ) 240", "output": [ "c" ] }, { "id": "task1420-a364568a5de945f889f9ac2e2fb21716", "input": "Problem: the arithmetic mean and standard deviation of a certain normal distribution are 15.5 and 1.5 , respectively . what value is exactly 2 standard deviations less than the mean ? \nOptions: a ) 10.5 , b ) 11 , c ) 11.5 , d ) 12 , e ) 12.5", "output": [ "e" ] }, { "id": "task1420-faba3ed5fcde4638b49f31ffbcc36abc", "input": "Problem: find the sum of first 20 multiples of 12 . \nOptions: a ) 2520 , b ) 3878 , c ) 2778 , d ) 27 , e ) 911", "output": [ "a" ] }, { "id": "task1420-acfe46361abf456fa78c711ece62d620", "input": "Problem: how many 4 digit number contain number 2 ? \nOptions: a ) 3168 , b ) 3268 , c ) 3368 , d ) 3468 , e ) 3568", "output": [ "a" ] }, { "id": "task1420-7491db4d7167478b9fedd92c835c0668", "input": "Problem: two employees x and y are paid a total of rs . 440 per week by their employer . if x is paid 120 percent of the sum paid to y , how much is y paid per week ? \nOptions: a ) s . 150 , b ) s . 200 , c ) s . 250 , d ) s . 350 , e ) s . 400", "output": [ "b" ] }, { "id": "task1420-81126e1841474477b17356239841e963", "input": "Problem: village x has a population of 70000 , which is decreasing at the rate of 1200 per year . village y has a population of 42000 , which is increasing at the rate of 800 per year . in how many years will the population of the two villages be equal ? \nOptions: a ) 14 , b ) 19 , c ) 11 , d ) 18 , e ) 13", "output": [ "a" ] }, { "id": "task1420-cbdcf34ecb1a4f879d33cc1ed2b1d7d9", "input": "Problem: a is two years older than b who is twice as old as c . if the total of the ages of a , b nd c be 27 , then how old is b ? \nOptions: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11", "output": [ "d" ] }, { "id": "task1420-a259e1b6b1514fb4964d4c68da0d11e4", "input": "Problem: for any positive integer n , the sum of the first n positive integers equals n ( n + 1 ) / 2 . what is the sum of all the even integers between 1 and 100 ? \nOptions: a ) 1250 , b ) 1530 , c ) 2120 , d ) 2540 , e ) 2550", "output": [ "e" ] }, { "id": "task1420-2cd383504b8a4cdabe40359cd42ec04b", "input": "Problem: a group of n students can be divided into equal groups of 4 with 1 student left over or equal groups of 5 with 2 students left over . what is the sum of the two smallest possible values of n ? \nOptions: a ) 33 , b ) 46 , c ) 49 , d ) 54 , e ) 86", "output": [ "d" ] }, { "id": "task1420-883b7d06694c49bfb4665162e4b05792", "input": "Problem: what is the smallest number which when increased by 3 is divisible by 12 , 15 , 35 , and 40 ? \nOptions: a ) 837 , b ) 947 , c ) 1027 , d ) 1155 , e ) 1231", "output": [ "a" ] }, { "id": "task1420-5bbf2094e2674f5f9ef278841c8246f1", "input": "Problem: the average age of students of a class is 15.8 years . the average age of boys in the class is 16.4 years and that of the girls is 15.1 years , the ratio of the number of boys to the number of girls in the class is \nOptions: a ) 7 : 6 , b ) 2 : 3 , c ) 9 : 3 , d ) 6 : 3 , e ) 2 : 5", "output": [ "a" ] }, { "id": "task1420-8b9cb7323ad740eca92f8b6ec429e480", "input": "Problem: find the remainder when 3 ^ 27 is divided by 5 ? \nOptions: a ) 3 , b ) 2 , c ) 4 , d ) 1 , e ) 5", "output": [ "b" ] }, { "id": "task1420-8c843d49504f4a72be7893f6feac3830", "input": "Problem: if an integer n is to be selected at random from 1 to 100 , inclusive , what is probability n ( n + 1 ) will be divisible by 32 ? \nOptions: a ) 2 / 7 , b ) 3 / 7 , c ) 1 / 16 , d ) 1 / 14 , e ) 1 / 12", "output": [ "c" ] }, { "id": "task1420-d35a8a8829574d10b09d19b37823df5b", "input": "Problem: . 007 / ? = . 01 \nOptions: a ) . 7 , b ) . 07 , c ) . 007 , d ) . 0007 , e ) none of them", "output": [ "a" ] }, { "id": "task1420-afbebbe94aa341bab88dde6838d56ea4", "input": "Problem: the function f ( y ) represents the number of ways that prime numbers can be uniquely summed to form a certain number y such that y = a + b + c + d … where those summed variables are each prime and a ≤ b ≤ c ≤ d . . . for instance f ( 8 ) = 3 and the unique ways are 2 + 2 + 2 + 2 and 2 + 3 + 3 and 3 + 5 . what is f ( 12 ) ? \nOptions: a ) 4 , b ) 5 , c ) 6 , d ) 7 , e ) 8", "output": [ "d" ] }, { "id": "task1420-47793655f2ec47a3ac475b9e8fc95b1f", "input": "Problem: what is the least value of x , so that 2 x 5452 is divisible by 9 \nOptions: a ) 7 , b ) 8 , c ) 9 , d ) 3 , e ) 0", "output": [ "e" ] }, { "id": "task1420-5441f2fc85dd49fd9ff35477a9d2302c", "input": "Problem: what is the unit ’ s digit of 7 ^ 4 \nOptions: a ) 3 , b ) 1 , c ) 5 , d ) 7 , e ) 9", "output": [ "b" ] }, { "id": "task1420-6313b582c0734c7b9b19d5dc6f372733", "input": "Problem: a man spends 2 / 5 of his salary on house rent , 3 / 10 of his salary on food and 1 / 8 of his salary on conveyance . if he has rs . 1400 left with him , find his expenditure on food and conveyance . \nOptions: a ) 1000 , b ) 2000 , c ) 3000 , d ) 4000 , e ) 5000", "output": [ "a" ] }, { "id": "task1420-3468f152d2e247d49590e0d0b36b0bfd", "input": "Problem: how many two - digit whole numbers yield a remainder of 3 when divided by 10 and also yield a remainder of 3 when divided by 4 ? options : \nOptions: a ) one , b ) two , c ) three , d ) four , e ) five", "output": [ "d" ] }, { "id": "task1420-609eedb096194646b05a918c4d58e1a8", "input": "Problem: find the value of ( 45 + 23 / 89 ) × 89 \nOptions: a ) 4028 , b ) 4026 , c ) 4248 , d ) 4538 , e ) 9028", "output": [ "a" ] }, { "id": "task1420-5aa8a037ef5849ac94bd4061205c3bd8", "input": "Problem: if there are 200 questions in a 3 hr examination . among these questions are 50 type a problems , which requires twice as much as time be spent than the rest of the type b problems . how many minutes should be spent on type a problems ? \nOptions: a ) 72 min , b ) 62 min , c ) 70 min , d ) 74 min , e ) 76 min", "output": [ "a" ] }, { "id": "task1420-7d40334ac0f3482ab77c8186c0281357", "input": "Problem: a man saves 20 % of his monthly salary . if an account of dearness of things he is to increase his monthly expenses by 20 % , he is only able to save rs . 250 per month . what is his monthly salary ? \nOptions: a ) 5000 , b ) 2999 , c ) 2878 , d ) 6250 , e ) 2771", "output": [ "d" ] }, { "id": "task1420-424e954aa0a64a68815a1b005b04cb56", "input": "Problem: the difference between a number and its two - fifth is 510 . what is 20 % of that number ? \nOptions: a ) 58 , b ) 170 , c ) 95 , d ) 100 , e ) 120", "output": [ "b" ] }, { "id": "task1420-fa7e6507c349431da2e0cc081a23d10d", "input": "Problem: 0.0004 ? = 0.02 \nOptions: a ) 0.02 , b ) 0.2 , c ) 2 , d ) 20 , e ) none of these", "output": [ "a" ] }, { "id": "task1420-c74a2c330c3446d2a4026266f5e09fa7", "input": "Problem: a certain lab experiments with white and brown mice only . in one experiment , 4 / 9 of the mice are brown . if there are 20 brown mice in the experiment , how many mice in total are in the experiment ? \nOptions: a ) 32 , b ) 26 , c ) 36 , d ) 28 , e ) 24", "output": [ "c" ] }, { "id": "task1420-af01bc2ef8bd4bc2a28db50e200c5210", "input": "Problem: a , b and c play a cricket match . the ratio of the runs scored by them in the match is a : b = 2 : 3 and b : c = 2 : 5 . if the total runs scored by all of them are 75 , the runs scored by b are ? a . 15 b . 18 \nOptions: a ) 22 , b ) 18 , c ) 99 , d ) 77 , e ) 24", "output": [ "b" ] }, { "id": "task1420-ced19116fca747f5be40cfa33bb9457c", "input": "Problem: every year an amount increases by 1 / 8 th of itself . how much will it be after two years if its present value is rs . 57600 ? \nOptions: a ) 81000 , b ) 81028 , c ) 27772 , d ) 72900 , e ) 22312", "output": [ "d" ] }, { "id": "task1420-d3cb1f1ba3b44f249ef9a37a41703767", "input": "Problem: in a race where 8 cars are running , the chance that car x will win is 1 / 2 , that y will win is 1 / 4 and that z will win is 1 / 3 . assuming that a dead heat is impossible , find the chance that one of them will win . \nOptions: a ) 1 / 140 , b ) 11 / 12 , c ) 14 / 8 , d ) 13 / 12 , e ) 57 / 120", "output": [ "d" ] }, { "id": "task1420-2df9d604ade246d7a0c1174e7cec64d1", "input": "Problem: john found that the average of 15 numbers is 40 . if 11 is added to each number then the mean of number is ? \nOptions: a ) 51 , b ) 45 , c ) 65 , d ) 78 , e ) 64", "output": [ "a" ] }, { "id": "task1420-ca5998f8a9dd463584a4887d87180fb2", "input": "Problem: if 204 ÷ 12.75 = 16 , then 2.04 ÷ 1.275 = ? \nOptions: a ) 16 , b ) 1.6 , c ) 0.16 , d ) 0.016 , e ) none of these", "output": [ "b" ] }, { "id": "task1420-1fcc8631c13f494f813c540d0ce3fb72", "input": "Problem: if n is a natural number , then ( 6 n 2 + 6 n ) is always divisible by ? \nOptions: a ) 6 only , b ) 6 and 12 both , c ) 12 only , d ) 6 or 12 only , e ) none", "output": [ "b" ] }, { "id": "task1420-f8d8168927f149cf921c194e124e2f15", "input": "Problem: you collect pens . suppose you start out with 5 . mike gives you another 20 pens . since her father makes pens , cindy decides to double your pens . since you ' re nice , you give sharon 10 pens . how many pens do you have at the end ? \nOptions: a ) 39 , b ) 40 , c ) 41 , d ) 42 , e ) 43", "output": [ "b" ] }, { "id": "task1420-b94121dc4f474641a47121608493916a", "input": "Problem: find the number which multiplied by 15 is increased by 196 . \nOptions: a ) 14 , b ) 20 , c ) 26 , d ) 28 , e ) 27", "output": [ "a" ] }, { "id": "task1420-991aa22ec1ec4413bc85b3fbff8b5c01", "input": "Problem: 1.45 , 2.56 , 4.78 , 8.11 , 12.55 , ( . . . . ) \nOptions: a ) 17.3 , b ) 16.2 , c ) 15.3 , d ) 19.5 , e ) 18.1", "output": [ "e" ] }, { "id": "task1420-d021e085867a41b1bc488fba9cc54cda", "input": "Problem: in a classroom , the average age of boys ( b ) is g and the average age of girls ( g ) is b . the average age of all is b + g . at the time of calculation , the class teacher , who is 42 years old was also present in the class . can you find the value of b + g ? \nOptions: a ) 8 , b ) 3 , c ) 7 , d ) 9 , e ) 10", "output": [ "a" ] }, { "id": "task1420-476bb3b1f3284803acd78d69ac5ff303", "input": "Problem: 587 * 999 = ? \nOptions: a ) 586411 , b ) 586413 , c ) 486411 , d ) 486413 , e ) none of these", "output": [ "b" ] }, { "id": "task1420-0c1e005948604527aaa76d4485db12d1", "input": "Problem: p is 3 times as old as q . in 11 years , p will be twice as old as q . how old was p 3 years ago ? \nOptions: a ) 21 , b ) 24 , c ) 27 , d ) 30 , e ) 33", "output": [ "d" ] }, { "id": "task1420-7a02ba62f6ff427d92dc4043d3bb9dcf", "input": "Problem: a grocer has a sale of rs . 435 , rs . 927 , rs . 855 , rs . 230 and rs . 562 for 5 consecutive days . how much sale must he have in the sixth day so that he gets an average sale of rs . 625 ? \nOptions: a ) rs 741 , b ) rs 5991 , c ) rs 6001 , d ) rs 6991 , e ) none of these", "output": [ "a" ] }, { "id": "task1420-868eb34b0bb5418480635da62d4fa94a", "input": "Problem: for a recipe for triple berry pie calls for cups of strawberries , raspberries , and blueberries in a ratio of 1 : 2 : 3 . how many total cups of fruit will you need to make the pie ? \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6", "output": [ "e" ] }, { "id": "task1420-2f68719331e849a0ab61aa167566d421", "input": "Problem: 1394 x 1394 = ? \nOptions: a ) a ) 1951609 , b ) b ) 1951601 , c ) c ) 1951602 , d ) d ) 1943236 , e ) e ) 1951604", "output": [ "d" ] }, { "id": "task1420-69a1c5cec364416b9028f1e7aa5df3cd", "input": "Problem: a pupil ' s marks were wrongly entered as 73 instead of 63 . due to the average marks for the class got increased by half . the number of pupils in the class is ? \nOptions: a ) 18 , b ) 82 , c ) 20 , d ) 27 , e ) 29", "output": [ "c" ] }, { "id": "task1420-0962cf6900dd4b00bb65a79020eff33a", "input": "Problem: a batsman makes a score of 92 runs in the 17 th inning and thus increases his average by 3 . find his average after 17 th inning . \nOptions: a ) 36 , b ) 39 , c ) 42 , d ) 44 , e ) none of the above", "output": [ "d" ] }, { "id": "task1420-3d9351c88b7b4908ba90ef314c7402ad", "input": "Problem: the sum of three consecutive multiples of 3 is 99 . what is the largest number ? \nOptions: a ) 36 , b ) 33 , c ) 30 , d ) 27 , e ) 24", "output": [ "a" ] }, { "id": "task1420-ed7ae88c8f524e1bbcb227cf4653e40c", "input": "Problem: a couple decides to have 4 children . if they succeed in having 4 children and each child is equally likely to be a boy or a girl , what is the probability that they will have exactly 3 girls and 1 boy ? \nOptions: a ) 4 , b ) 3 , c ) 2 , d ) 1 , e ) 1 / 2", "output": [ "e" ] }, { "id": "task1420-0d85565033a94f86a247003864d53da2", "input": "Problem: a small beaker is 1 / 2 filled with salt water . another beaker , which has 5 times the capacity of the small beaker , is 1 / 5 filled with fresh water . after dumping all of the salt water from the small beaker into the large beaker , to what fraction of its capacity will the large beaker be filled ? \nOptions: a ) 2 / 3 , b ) 2 / 5 , c ) 3 / 5 , d ) 3 / 10 , e ) 7 / 20", "output": [ "d" ] }, { "id": "task1420-03af731e57f94f968c1d65ce23dcaf81", "input": "Problem: a multiple choice test consists of 4 questions , and each question has 5 answer choices . in how many q ways can the test be completed if every question is unanswered ? \nOptions: a ) 24 , b ) 120 , c ) 625 , d ) 720 , e ) 1024", "output": [ "c" ] }, { "id": "task1420-3620fe08a3cd41abbb8c404f49ff7a67", "input": "Problem: crazy eddie has a key chain factory . eddie managed to decrease the cost of manufacturing his key chains while keeping the same selling price , and thus increased the profit from the sale of each key chain from 25 % of the selling price to 50 % of the selling price . if the manufacturing cost is now $ 50 , what was it before the decrease ? \nOptions: a ) $ 75 , b ) $ 40 , c ) $ 50 , d ) $ 80 , e ) $ 100", "output": [ "a" ] }, { "id": "task1420-b31e17bad26241b98426ffb804bd83b9", "input": "Problem: he average weight of 6 persons increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg . what might be the weight of the new person ? \nOptions: a ) 75 kg , b ) 55 kg , c ) 45 kg , d ) 80 kg , e ) 25 kg", "output": [ "d" ] }, { "id": "task1420-35e0cad248a744b39afac66f3a910b0c", "input": "Problem: if 42 / 330 = 0.1272 , what is the 32 nd digit to the right of the decimal point of the fraction ? \nOptions: a ) 1 , b ) 4 , c ) 5 , d ) 7 , e ) 2", "output": [ "e" ] }, { "id": "task1420-151caa3fda714cec9a14b383fd7542e1", "input": "Problem: how many zeroes are there at the end of the number n , if n = 70 ! + 140 ! ? \nOptions: a ) 8 , b ) 12 , c ) 16 , d ) 20 , e ) 24", "output": [ "c" ] }, { "id": "task1420-f60b197d4d6d42c183b35455f3e1d2dd", "input": "Problem: a city with a population of 173,460 is to be divided into 9 voting districts , and no district is to have a population that is more than 10 percent greater than the population of any other district . what is the minimum possible population that the least populated district could have ? \nOptions: a ) 17,400 , b ) 17,500 , c ) 17,600 , d ) 17,700 , e ) 17,800", "output": [ "d" ] }, { "id": "task1420-e73ab51b562d40e081fe98a91b99297e", "input": "Problem: when a number is divided by 6 & then multiply by 12 the answer is 9 what is the no . ? \nOptions: a ) 4.5 , b ) 5 , c ) 5.5 , d ) 5.8 , e ) 6", "output": [ "a" ] }, { "id": "task1420-d2b2713fe5044bea902eee1f818a4f85", "input": "Problem: in august , a cricket team that played 120 matches won 26 % of the games it played . after a continuous winning streak , this team raised its average to 52 % . how many matches did the team win to attain this average ? \nOptions: a ) 40 , b ) 52 , c ) 65 , d ) 80 , e ) 98", "output": [ "c" ] }, { "id": "task1420-305311ebadb344e89a38b9852a912baf", "input": "Problem: the ration of the father ’ s age to his son ’ s age is 7 : 3 . the product of their ages is 756 . the ratio of their ages after 6 years will be : \nOptions: a ) 5 : 2 , b ) 2 : 1 , c ) 11 : 7 , d ) 13 : 9 , e ) none of these", "output": [ "b" ] }, { "id": "task1420-94ec09c193d444ba894cb86c9ec3d8b5", "input": "Problem: what is the smallest integer e greater than 1 that leaves a remainder of 1 when divided by any of the integers 6 , 8 , and 10 ? \nOptions: a ) 21 , b ) 41 , c ) e = 121 , d ) 241 , e ) 481", "output": [ "c" ] }, { "id": "task1420-2226233539c94905ba4553d81c231c72", "input": "Problem: david obtained 72 , 60 , 35 , 62 and 84 marks ( out of 100 ) in english , mathematics , physics , chemistry and biology what are his average marks ? \nOptions: a ) 75 , b ) 62.6 , c ) 87 , d ) 165 , e ) 11", "output": [ "b" ] }, { "id": "task1420-4695f1796e6f4204a0da82036da87506", "input": "Problem: how many even number in the range between 8 to 100 inclusive are not divisible by 3 \nOptions: a ) 15 , b ) 30 , c ) 32 , d ) 33 , e ) 46", "output": [ "c" ] }, { "id": "task1420-345f4b1870ba4be7a898a9508f30ed42", "input": "Problem: one ton has 2100 pounds , and one pound has 16 ounces . how many packets containing wheat weighing 16 pounds and 4 ounces each would totally fill a gunny bag of capacity 13 tons ? \nOptions: a ) 1680 , b ) 1700 , c ) 2350 , d ) 2500 , e ) 8000", "output": [ "a" ] }, { "id": "task1420-ef7b83b7c6a04299a88f7c2aa532670e", "input": "Problem: the population of locusts in a certain swarm doubles every two hours . if 4 hours ago there were 1000 locusts in the swarm , in approximately how many hours will the swarm population exceed 128000 locusts ? \nOptions: a ) 12 , b ) 8 , c ) 4 , d ) 10 , e ) 16", "output": [ "d" ] }, { "id": "task1420-10d1d8f1c78a4a56a9943478c91d2640", "input": "Problem: the tax on a commodity is diminished by 10 % but its consumption is increased by 20 % . find the decrease percent in the revenue derived from it ? \nOptions: a ) 18 % , b ) 4 % , c ) 32 % , d ) 12 % , e ) 52 %", "output": [ "b" ] }, { "id": "task1420-5e4473d6c56b4860ac95e3c3da30ebc6", "input": "Problem: mark and ann together were allocated n boxes of cookies to sell for a club project . mark sold 9 boxes less than n and ann sold 2 boxes less than n . if mark and ann have each sold at least one box of cookies , but together they have sold less than n boxes , what is the value of n ? \nOptions: a ) 9 , b ) 10 , c ) 11 , d ) 12 , e ) 13", "output": [ "b" ] }, { "id": "task1420-7f65a75db3e94edd9703c5cb24f647ac", "input": "Problem: there are 16 bees in the hive , then 10 more fly . how many bees are there in all ? \nOptions: a ) 7 , b ) 33 , c ) 12 , d ) 17 , e ) 26", "output": [ "e" ] }, { "id": "task1420-2db35386dfb74e8387e139f411767b2e", "input": "Problem: angelo and isabella are both salespersons . in any given week , angelo makes $ 550 in base salary plus 8 percent of the portion of his sales above $ 3,000 for that week . isabella makes 10 percent of her total sales for any given week . for what amount of weekly sales would angelo and isabella earn the same amount of money ? \nOptions: a ) 23,500 , b ) 15,500 , c ) 25,500 , d ) 26,500 , e ) 27,500", "output": [ "b" ] }, { "id": "task1420-ebbc5a27665f489e88b14005a9d03019", "input": "Problem: the average weight of 29 students is 28 kg . by the admission of a new student , the average weight is reduced to 27.8 kg . the weight of the new student is \nOptions: a ) 22 kg , b ) 21.6 kg , c ) 22.4 kg , d ) 21 kg , e ) 23 kg", "output": [ "a" ] }, { "id": "task1420-60e98de3ca9342e5a48c3f2a513295b9", "input": "Problem: find the value of 3 x [ ( 3.6 x 0.48 x 2.50 ) / ( 0.12 x 0.09 x 0.5 ) ] \nOptions: a ) 800 , b ) 500 , c ) 900 , d ) 1600 , e ) 2400", "output": [ "e" ] }, { "id": "task1420-75e467ca7b334d4aae919d3683fd343f", "input": "Problem: a number x is multiplied with itself and then added to the product of 4 and x . if the result of these two operations is - 8 , what is the value of x ? \nOptions: a ) - 4 , b ) - 2 , c ) 2 , d ) 4 , e ) can not be determined .", "output": [ "e" ] }, { "id": "task1420-cdb5905a074d4b1fb6d3202c4ddb3b44", "input": "Problem: if jake loses 5 pounds , he will weigh thrice as much as his sister . together they now weigh 285 pounds . what is jake ' s present weight , in pounds ? \nOptions: a ) 131 , b ) 135 , c ) 139 , d ) 147 , e ) 215", "output": [ "e" ] }, { "id": "task1420-a4abc27c388d4ce186eff0d8b4f33234", "input": "Problem: if a person walks at 14 km / hr instead of 10 km / hr , he would have walked 20 km more . the actual distance traveled by him is : \nOptions: a ) 50 km , b ) 56 km , c ) 60 km , d ) 70 km , e ) 80 km", "output": [ "a" ] }, { "id": "task1420-bb56e30930b1418d8aae2cde26d8c123", "input": "Problem: the average of 9 observations was 9 , that of the 1 st of 4 being 10 and that of the last 4 being 8 . what was the 5 th observation ? \nOptions: a ) 4 , b ) 5 , c ) 6 , d ) 7 , e ) 8", "output": [ "d" ] }, { "id": "task1420-3147592cb66045f09f32672fb183a781", "input": "Problem: if 4 ( p ' s capital ) = 6 ( q ' s capital ) = 10 ( r ' s capital ) , then out of the total profit of rs 3720 , r will receive \nOptions: a ) 720 , b ) 700 , c ) 800 , d ) 900 , e ) none of these", "output": [ "a" ] }, { "id": "task1420-8f68c30aa5df4385ae1bc0e8dcf0195f", "input": "Problem: a man can row 4.2 km / hr in still water . it takes him twice as long to row upstream as to row downstream . what is the rate of the current ? \nOptions: a ) 1.9 , b ) 1.7 , c ) 1.4 , d ) 1.5 , e ) 1.1", "output": [ "c" ] }, { "id": "task1420-864cbba5d8cd41c69c3a23b18283e980", "input": "Problem: if ( x + 3 ) ^ 2 / ( 2 x + 15 ) = 3 , then the difference between the two possible values of x is : \nOptions: a ) 8 , b ) 10 , c ) 12 , d ) 14 , e ) 16", "output": [ "c" ] }, { "id": "task1420-99f0ecd9d7654a59a44961c2b39cb914", "input": "Problem: patty ran a marathon at an average speed of 3 mph for some time and then at an average speed of 6 mph for the rest of the marathon . if she made no stops during the run and her average speed for the entire marathon was 5 mph , for what fraction of the total time did she run at 3 mph ? \nOptions: a ) 1 / 5 , b ) 2 / 3 , c ) 2 / 5 , d ) 3 / 5 , e ) 1 / 3", "output": [ "e" ] }, { "id": "task1420-d81bfcc0b02d46dd9bd65ccf37432ee2", "input": "Problem: for any non - zero a and b that satisfy | ab | = ab and | a | = a | b - 4 | + | ab - b | = ? \nOptions: a ) ab - 4 , b ) 2 b - ab - 4 , c ) ab + 4 , d ) ab - 2 b + 4 , e ) 4 - ab", "output": [ "a" ] }, { "id": "task1420-86755cbf10134da992dc9bab8a78f34d", "input": "Problem: a man engaged a servant on the condition that he would pay him rs . 900 and a uniform after 1 year service . he served only for 9 months and receiveduniform and rs . 650 , find the price of the uniform ? \nOptions: a ) rs . 90 , b ) rs . 100 , c ) rs . 130 , d ) rs . 170 , e ) rs . 190", "output": [ "b" ] }, { "id": "task1420-5e2d5b31079144d4a1c6c1ba6a3b4c02", "input": "Problem: if a ' s height is 30 % less than that of b , how much percent b ' s height is more than that of a ? \nOptions: a ) 42.85 % , b ) 66.68 % , c ) 66.766 % , d ) 86.66 % , e ) 66.65 %", "output": [ "a" ] }, { "id": "task1420-a56e3aa337784f5ba7826bd599bdfd47", "input": "Problem: how many three digit numbers e are divisible by 78 or 91 ? \nOptions: a ) 17 , b ) 19 , c ) 20 , d ) 21 , e ) 22", "output": [ "b" ] }, { "id": "task1420-6a769ea0e3ed40bdad414a4e44a82cc5", "input": "Problem: how many numbers from 32 to 97 are exactly divisible by 9 ? \nOptions: a ) 5 , b ) 7 , c ) 9 , d ) 11 , e ) 12", "output": [ "b" ] }, { "id": "task1420-bd6e631dd0a04bb4b88842ea99d57922", "input": "Problem: what will be the remainder when 17 ^ 200 is divided by 18 \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "a" ] }, { "id": "task1420-139bae376d8b400d99441f89b5d051b2", "input": "Problem: ( 525 + 275 ) ã — 4 ã — ( 3 + 2 ) = ? \nOptions: a ) 12000 , b ) 24000 , c ) 16000 , d ) 14000 , e ) 16200", "output": [ "c" ] }, { "id": "task1420-543d0c6d1c31472ba7f9bc8bcc57ae23", "input": "Problem: if f ( x ) = 2 x ^ 2 + y , and f ( 2 ) = 50 , what is the value of f ( 5 ) ? \nOptions: a ) 104 , b ) 60 , c ) 92 , d ) 50 , e ) 25", "output": [ "c" ] }, { "id": "task1420-5d4432c43bf3457a8243caf727447961", "input": "Problem: sandy bought 65 books for $ 1280 from one shop and 55 books for $ 880 from another shop . what is the average price that sandy paid per book ? \nOptions: a ) $ 12 , b ) $ 14 , c ) $ 16 , d ) $ 18 , e ) $ 20", "output": [ "d" ] }, { "id": "task1420-2e819433ebc0484c9a5623f491e4c788", "input": "Problem: 3 candidates contested in an election and received 4136 , 7636 , 11628 votes respectively . what is the percentage of the total votes did the winning candidate get ? \nOptions: a ) 45 % , b ) 49 % , c ) 50 % , d ) 51 % , e ) 62 %", "output": [ "c" ] }, { "id": "task1420-119657fce6904822879bdc1ea3ca7e95", "input": "Problem: a library has an average of 510 visitors on sunday and 240 on other days . the average number of visitors per day in a month of 30 days beginning with a sunday is \nOptions: a ) 250 , b ) 276 , c ) 280 , d ) 285 , e ) none", "output": [ "d" ] }, { "id": "task1420-c54c3384dd214bbfbd93f89e762d2905", "input": "Problem: a mixture of 50 litres of milk and water contains 10 % water . how many litres of water should be added to the mixture so that the mixture contains 15 % water ? \nOptions: a ) 15 , b ) 20 , c ) 25 , d ) 30 , e ) 10", "output": [ "c" ] }, { "id": "task1420-97451a9424504a19953bd64b65072415", "input": "Problem: a certain shade of gray paint is obtained by mixing 3 parts of white paint with 5 parts of black paint . if 2 gallons of the mixture is needed and the individual colors can be purchased only in one gallon or half gallon cans , what is the least amount of paint r , in gallons , that must be purchased in order to measure out the portions needed for the mixture ? \nOptions: a ) 2 , b ) 2 1 / 2 , c ) 3 , d ) 3 1 / 2 , e ) 4", "output": [ "b" ] }, { "id": "task1420-997de138ce984859a3150ef82a32f5cf", "input": "Problem: in the coordinate plane , points ( x , 6 ) and ( 10 , y ) are on line k . if line k passes through the origin and has slope 1 / 2 , then x * y = \nOptions: a ) 52 , b ) 46 , c ) 60 , d ) 50 , e ) 35", "output": [ "c" ] }, { "id": "task1420-d0a9e95f6f2b43618be0c7bd1c323476", "input": "Problem: if f ( x ) = 3 x ^ 4 - 4 x ^ 3 - 2 x ^ 2 + 6 x , then f ( - 1 ) = \nOptions: a ) - 2 , b ) - 1 , c ) 0 , d ) 1 , e ) 2", "output": [ "b" ] }, { "id": "task1420-ab84af32ac394f2f8be95e2757e074df", "input": "Problem: a group of 55 adults and 70 children go for trekking . if there is meal for either 70 adults or 90 children and if 21 adults have their meal , find the total number of children that can be catered with the remaining food . \nOptions: a ) 33 , b ) 54 , c ) 63 , d ) 17 , e ) 01", "output": [ "c" ] }, { "id": "task1420-8a5b2d6e5039418ab6ffc62a511e91d8", "input": "Problem: in may mrs lee ' s earnings were 45 percent of the lee family ' s total income . in june mrs lee earned 20 percent more than in may . if the rest of the family ' s income was the same both months , then , in june , mrs lee ' s earnings were approximately what percent of the lee family ' s total income ? \nOptions: a ) 50 % , b ) 68 % , c ) 72 % , d ) 76 % , e ) 80 %", "output": [ "a" ] }, { "id": "task1420-4d894e57358d4ef2bb9907829cac1dc7", "input": "Problem: the smallest value of n , for which 2 n + 1 is not a prime number is \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "b" ] }, { "id": "task1420-3c7a7675fd0a4523aa5acd8232df86e1", "input": "Problem: seller selling an apple for rs . 19 , a seller loses 1 / 6 th of what it costs him . the cp of the apple is ? \nOptions: a ) 10 , b ) 12 , c ) 20 , d ) 18 , e ) 21", "output": [ "c" ] }, { "id": "task1420-8132dfde2b2f44619064bc75b9a4fcf8", "input": "Problem: in x game of billiards , x can give y 20 points in 60 and he can give z 50 points in 60 . how many points can y give z in x game of 100 ? \nOptions: a ) 30 , b ) 20 , c ) 25 , d ) 40 , e ) 75", "output": [ "e" ] }, { "id": "task1420-1614a248bb7749a6895e4f2681f62e8f", "input": "Problem: the total cost of a vacation was divided among 3 people . if the total cost of the vacation had been divided equally among 4 people , the cost per person would have been $ 60 less . what was the total cost cost of the vacation ? \nOptions: a ) $ 200 , b ) $ 300 , c ) $ 400 , d ) $ 720 , e ) $ 600", "output": [ "d" ] }, { "id": "task1420-26ade3a586d84dadb39af3ff89f47915", "input": "Problem: how many different 3 - digit multiples of 5 can be composed of digits 1 , 2 , 3 , 4 , and 5 if none of the digits is repeated ? \nOptions: a ) 3 , b ) 6 , c ) 8 , d ) 12 , e ) 18", "output": [ "c" ] }, { "id": "task1420-782e5583acbd4fa5a2d65073cedcea2b", "input": "Problem: 3 * 14 + 3 * 15 + 3 * 18 + 11 = ? \nOptions: a ) 125 , b ) 126 , c ) 130 , d ) 148 , e ) 152", "output": [ "e" ] }, { "id": "task1420-93997a28d4cd41e986e8aff6c445e241", "input": "Problem: if p is the product of the integers from 1 to 30 , inclusive , what is the greatest integer k for which 3 ^ k is a factor of p ? \nOptions: a ) 10 , b ) 12 , c ) 14 , d ) 16 , e ) 18", "output": [ "c" ] }, { "id": "task1420-769a89e7d3994e0092fffc929ea451ad", "input": "Problem: the proportion of water to alcohol in solution a is 5 : 4 and the proportion of water to alcohol in solution b is 6 : 5 . if an equal amount of each solution is mixed together , what is the concentration of alcohol in the new solution ? \nOptions: a ) 40.9 % , b ) 41.9 % , c ) 42.9 % , d ) 43.9 % , e ) 44.9 %", "output": [ "e" ] }, { "id": "task1420-364f9ccf5db2436e9a01cc9fc8a82dce", "input": "Problem: 16.02 ã — 0.01 = ? \nOptions: a ) 0.1602 , b ) 0.001602 , c ) 1.6021 , d ) 0.01602 , e ) none of these", "output": [ "a" ] }, { "id": "task1420-ef255392058c400a967fdf8ffa95948d", "input": "Problem: 8 k 8 + k 88 - - - - - - - - 16 t 6 if k and t represent non - zero digits within the integers above , what is t ? \nOptions: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 17", "output": [ "a" ] }, { "id": "task1420-061c4e3e841f42b8911769a2e9ea1991", "input": "Problem: find the total number of prime factors in the expression ( 4 ) ^ 11 x ( 7 ) ^ 3 x ( 11 ) ^ 2 \nOptions: a ) 26 , b ) 22 , c ) 25 , d ) 27 , e ) 29", "output": [ "d" ] }, { "id": "task1420-90775a9044b64f74bb3244734633a56a", "input": "Problem: in the hillside summer camp there are 50 children . 85 % of the children are boys and the rest are girls . the camp administrator decided to make the number of girls only 5 % of the total number of children in the camp . how many more boys must she bring to make that happen ? \nOptions: a ) 20 . , b ) 45 . , c ) 50 . , d ) 30 . , e ) 25 .", "output": [ "c" ] }, { "id": "task1420-0bae8ce75aad4591bbd6830a549d6106", "input": "Problem: if - 2 / ( a - 6 ) = 4 / ( a + 4 ) , then a = ? \nOptions: a ) 2 / 3 , b ) 1 / 2 , c ) 5 / 3 , d ) 8 / 3 , e ) 7 / 3", "output": [ "d" ] }, { "id": "task1420-60fd7bde8e70491b86905454b9d73398", "input": "Problem: a is the average ( arithmetic mean ) of the first 7 positive multiples of 5 and b is the median of the first 3 positive multiples of positive integer n . if the value of a ^ 2 – b ^ 2 is zero , what is the value of n ? \nOptions: a ) 5 , b ) 6 , c ) 10 , d ) 15 , e ) 20", "output": [ "c" ] }, { "id": "task1420-e1020408746b449cb3d9979504f4061a", "input": "Problem: jancy had 100 currency notes in all , some of which are of rs 70 denomination and the remaining of rs 50 denomination . the total amount of all these currency notes was rs . 5000 . how much amount ( in rs ) did she have in the denomination of rs 50 ? \nOptions: a ) 103 , b ) 102 , c ) 100 , d ) 105 , e ) 106", "output": [ "c" ] }, { "id": "task1420-7b038686adc3487e9e4e8f2d4f4f02e4", "input": "Problem: a certain company retirement plan has arule of 70 provision that allows an employee to retire when the employee ' s age plus years of employment with the company total at least 70 . in what year could a female employee hired in 1989 on her 32 nd birthday first be eligible to retire under this provision ? \nOptions: a ) 2008 , b ) 2004 , c ) 2005 , d ) 2006 , e ) 2007", "output": [ "a" ] }, { "id": "task1420-69bdd0bb239142bc902823b0cb6739b9", "input": "Problem: the average age of 35 students in a class is 16 years . the average age of 21 students is 14 . what is the average age of remaining 7 students ? \nOptions: a ) 14 years , b ) 17 years , c ) 19 years , d ) 38 years , e ) none", "output": [ "d" ] }, { "id": "task1420-49cee3e2e4d4413d8d19fa27ca93dbbb", "input": "Problem: a number of 47 marbles is to be divided and contain with boxes . if each box is to contain 3 , 4 , or 5 marbles , what is the largest possible number of boxes ? \nOptions: a ) 10 , b ) 12 , c ) 15 , d ) 16 , e ) 17", "output": [ "c" ] }, { "id": "task1420-6d34004d99d6434692104fa35508a0dc", "input": "Problem: if k is the greatest positive integer such that 3 ^ k is a divisor of 24 ! then k = \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 10", "output": [ "e" ] }, { "id": "task1420-88b5e0e7a9694b53bd7ed166fa386efb", "input": "Problem: he average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 75 kg . what might be the weight of the new person ? \nOptions: a ) 75 kg , b ) 95 kg , c ) 45 kg , d ) 85 kg , e ) 25 kg", "output": [ "b" ] }, { "id": "task1420-43cea2a025f34a1887acc59eebe94565", "input": "Problem: sixty 5 percent of a number is 21 less than 4 fifth of that number . what is the number \nOptions: a ) 140 , b ) 165 , c ) 150 , d ) 142 , e ) 174", "output": [ "a" ] }, { "id": "task1420-dab371e939454c7b99c42bbfc0f3cf1d", "input": "Problem: if a and b are two events such that p ( a ) = 3 / 4 , p ( b ) = 1 / 2 and p ( a n b ) = 3 / 8 , find p ( not a and not b ) . \nOptions: a ) 1 / 9 , b ) 1 / 8 , c ) 1 / 11 , d ) 1 / 13 , e ) 2 / 5", "output": [ "b" ] }, { "id": "task1420-b2f75195c2ac456a85e4b7fbf709d6ed", "input": "Problem: the average amount with a group of 7 numbers is rs . 20 . if the newly joined member has rs . 56 with him , what was the average amount with the group before his joining the group ? \nOptions: a ) s . 13 , b ) s . 12 , c ) s . 15 , d ) s . 22 , e ) s . 14", "output": [ "e" ] }, { "id": "task1420-a69a5876658f4e058f6b7f8dab372bdb", "input": "Problem: there are 28 balls which are red , blue or green . if 12 balls are green and the sum of red balls and green balls is less than 24 , at most how many red balls are there ? \nOptions: a ) 10 , b ) 12 , c ) 11 , d ) 13 , e ) 14", "output": [ "c" ] }, { "id": "task1420-36101e2236c34215bb99fb0ff31818e3", "input": "Problem: if 3 a – 3 b – 2 c = 32 and √ 3 a - √ ( 2 b + 2 c ) = 4 , what is the value of a + b + c ? \nOptions: a ) 3 , b ) 9 , c ) 10 , d ) 12 , e ) 14", "output": [ "c" ] }, { "id": "task1420-be2e955a19d44da1906bb43498f3e1bb", "input": "Problem: we bought 85 hats at the store . blue hats cost $ 6 and green hats cost $ 7 . the total price was $ 530 . how many green hats did we buy ? \nOptions: a ) a ) 36 , b ) b ) 20 , c ) c ) 40 , d ) d ) 42 , e ) e ) 44", "output": [ "b" ] }, { "id": "task1420-c794c8a11bca447894090147be426392", "input": "Problem: the average weight of a , b and c is 45 kg . if the average weight of a and b be 40 kg and that of b and c be 46 kg , then the weight of b is : \nOptions: a ) 17 kg , b ) 20 kg , c ) 26 kg , d ) 31 kg , e ) 37 kg", "output": [ "e" ] }, { "id": "task1420-2831b2980a314686823f6c3930f73056", "input": "Problem: the average age of 15 students of a class is 15 years . out of these , the average age of 4 students is 14 years and that of the other 9 students is 16 years . tee age of the 15 th student is ? \nOptions: a ) 20 years , b ) 22 years , c ) 24 years , d ) 25 years , e ) 27 years", "output": [ "d" ] }, { "id": "task1420-73f61a7ba3d14c0fad80ba5ad8111bf0", "input": "Problem: sum of two numbers is 63 . their difference is 1 / 8 of their sum . their l . c . m is \nOptions: a ) 231 , b ) 153 , c ) 351 , d ) 345 , e ) 355", "output": [ "c" ] }, { "id": "task1420-b86d8da1522f4d06839415e11629f927", "input": "Problem: there are 7 thieves . they stole diamonds from a diamond merchant and ran away . while running , night sets in and they decide to rest in the jungle . when everybody was sleeping , two of them woke up and decided to divide the diamonds equally among themselves . but when they divided the diamonds equally , one diamond is left . so they woke up the 3 rd thief and tried to divide the diamonds equally again but still one diamond was left . then they woke up the 4 th thief to divide the diamonds equally again , and again one diamond was left . this happened with the 5 th and 6 th thief – one diamond was still left . finally , they woke up the 7 th thief and this time the diamonds were divided equally . how many diamonds did they steal in total ? \nOptions: a ) 1560 , b ) 1561 , c ) 1559 , d ) 1557 , e ) none of the above", "output": [ "b" ] }, { "id": "task1420-06c4b8c2db5342869fb816f99e0ff2be", "input": "Problem: a certain social security recipient will receive an annual benefit of $ 12,000 provided he has annual earnings of $ 9,360 or less , but the benefit will be reduced by $ 1 for every $ 3 of annual earnings over $ 9,360 . what amount of total annual earnings would result in a 55 percent reduction in the recipient ' s annual social security benefit ? ( assume social security benefits are not counted as part of annual earnings . ) \nOptions: a ) $ 15,360 , b ) $ 17,360 , c ) $ 25,560 , d ) $ 21,360 , e ) $ 27,360", "output": [ "c" ] }, { "id": "task1420-761e3e0499db4f7c906934af45174806", "input": "Problem: if ( 1 – 1.25 ) n = 4 , then n = \nOptions: a ) − 400 , b ) − 16 , c ) − 4 , d ) 4 , e ) 400", "output": [ "b" ] }, { "id": "task1420-89dc665509f649368bf2e192d53f5a33", "input": "Problem: if a store owner increases a product ’ s price by 20 percent and then increases this price by another 15 percent , what percent of the original price is the total price increase ? \nOptions: a ) 20 % , b ) 35 % , c ) 38 % , d ) 65 % , e ) 135 %", "output": [ "c" ] }, { "id": "task1420-eb75457a6b58467995a30c9246b4a71c", "input": "Problem: the total price of a kilogram each of shimla apples and red delicious apples is 250 rupees more than the total price of a kilogram each of red delicious apples and fuji apples . fuji apples is how much cheaper than shimla apples ? \nOptions: a ) 250 , b ) 125 , c ) 500 , d ) 100 , e ) 80", "output": [ "a" ] }, { "id": "task1420-e6e34fe0b1134c53a4d80333ddd1cc74", "input": "Problem: a canoe has two oars , left and right . each oar either works or breaks . the failure or non - failure of each oar is independent of the failure or non - failure of the other . you can still row the canoe with one oar . the probability that the left oar works is 3 / 5 . the probability that the right oar works is also 3 / 5 . what is the probability w that you can still row the canoe ? \nOptions: a ) 9 / 25 , b ) 10 / 25 , c ) 6 / 10 , d ) 2 / 3 , e ) 21 / 25", "output": [ "e" ] }, { "id": "task1420-0c2fa7d18353459c8924d66efe764e8d", "input": "Problem: the product x of two prime numbers is between 17 and 60 . if one of the prime numbers is greater than 2 but less than 6 and the other is greater than 13 but less than 25 , then x = \nOptions: a ) 18 , b ) 29 , c ) 37 , d ) 44 , e ) 57", "output": [ "e" ] }, { "id": "task1420-9a831567f3a94ec99387631b8de8d8a3", "input": "Problem: if the price of a book is first decreased by 20 % and then increased by 20 % , then the net change in the price will be : \nOptions: a ) 10 , b ) 388 , c ) 4 , d ) 29 , e ) 22", "output": [ "c" ] }, { "id": "task1420-c23acd405f884effa923dfe364afb2f9", "input": "Problem: in 10 years , a will be twice as old 5 as b was 10 years ago . if a is now 7 years older than b , the present age of b is \nOptions: a ) 35 , b ) 37 , c ) 39 , d ) 41 , e ) 42", "output": [ "b" ] }, { "id": "task1420-6aa4e612ef4544abaa4494dd80d2c60c", "input": "Problem: a grocer has a sale of rs . 6435 , rs . 6927 , rs . 6855 , rs . 7230 and rs . 6562 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 6600 ? \nOptions: a ) s . 4991 , b ) s . 5591 , c ) s . 6001 , d ) s . 6991 , e ) s . 7991", "output": [ "b" ] }, { "id": "task1420-dfee7184fa274732b03ed68478d01c5a", "input": "Problem: a number , x is chosen at random from the set of positive integers less than 10 . what is the probability that ( 7 / x ) > x ? \nOptions: a ) 1 / 5 , b ) 7 / 9 , c ) 1 / 3 , d ) 2 / 3 , e ) 2 / 9", "output": [ "e" ] }, { "id": "task1420-cf1c7b1276fd40ac95e4e23dabdcdec3", "input": "Problem: there are 2 red chips and 3 blue ones . when arranged in a row , they form a certain color pattern , for example rbrrb . how many color patterns ? \nOptions: a ) a ) 10 , b ) b ) 12 , c ) c ) 24 , d ) d ) 60 , e ) e ) 100", "output": [ "e" ] }, { "id": "task1420-2ec0054188094d5aa3492ed323e1ec06", "input": "Problem: if 2994 ã · 14.5 = 177 , then 29.94 ã · 1.45 = ? \nOptions: a ) 17.1 , b ) 17.3 , c ) 17.5 , d ) 17.7 , e ) 17.2", "output": [ "d" ] }, { "id": "task1420-379952a2c04f4e17b11a9aab3f624fc2", "input": "Problem: one - third of rahul ' s savings in national savings certificate is equal to one - half of his savings in public provident fund . if he has rs . 1 , 80000 as total savings , how much has he saved in public provident fund ? \nOptions: a ) 81000 , b ) 85000 , c ) 75000 , d ) 72000 , e ) 77000", "output": [ "d" ] }, { "id": "task1420-c12dd1480d924ebc8fef10e442eabc2e", "input": "Problem: robert ate 13 chocolates , nickel ate 4 chocolates . how many more chocolates did robert ate than nickel ? \nOptions: a ) a ) 4 , b ) b ) 7 , c ) c ) 9 , d ) d ) 5 , e ) e ) 2", "output": [ "c" ] }, { "id": "task1420-bf72a93a7e944afaaea245293d6e0a4c", "input": "Problem: the tax on a commodity is diminished by 25 % and its consumption increased by 15 % . the effect on revenue is ? \nOptions: a ) 12 % decrease , b ) 18 % decrease , c ) 19 % decrease , d ) 13.75 % decrease , e ) 12.5 % decrease", "output": [ "c" ] }, { "id": "task1420-e81cfd789ef04fa0b48e58196b10ff10", "input": "Problem: the average monthly salary of 20 employees in an organisation is rs . 1600 . if the manager ' s salary is added , then the average salary increases by rs . 100 . what is the manager ' s monthly salary ? \nOptions: a ) 3700 , b ) 3890 , c ) 88798 , d ) 2789 , e ) 2891", "output": [ "a" ] }, { "id": "task1420-f4d20ef471e145c49ce6a35eea920a9c", "input": "Problem: when n is divided by 19 , the remainder is 7 . find thee difference between previous remainder and the remainder when 18 n is divided by 9 ? \nOptions: a ) 7 , b ) 5 , c ) 0 , d ) 3 , e ) 9", "output": [ "a" ] }, { "id": "task1420-1519860d3d814ebca8e57c1df0eebee8", "input": "Problem: what is the units digit of the expression 14 ^ 7 − 19 ^ 4 ? \nOptions: a ) 0 , b ) 3 , c ) 4 , d ) 6 , e ) 8", "output": [ "e" ] }, { "id": "task1420-73ca7280a7fe44588e1bd5f558bacbfb", "input": "Problem: sushil got thrice as many marks in english as in science . his total marks in english , science and maths are 180 . if the ratio of his marks in english and maths is 1 : 2 , find his marks in science ? \nOptions: a ) 19 , b ) 77 , c ) 66 , d ) 55 , e ) 31", "output": [ "a" ] }, { "id": "task1420-6a5e1c7c655648f39b7ea14ae5cfb4d3", "input": "Problem: the maximum number of students among them 1340 pens and 1280 pencils can be distributed in such a way that each student get the same number of pens and same number of pencils ? \nOptions: a ) 25 , b ) 30 , c ) 20 , d ) 45 , e ) 90", "output": [ "c" ] }, { "id": "task1420-2ac07b6bdb764a84b949132b9153cc21", "input": "Problem: n ^ ( n / 2 ) = 2 is true when n = 2 in the same way what is the value of n if n ^ ( n / 2 ) = 12 ? \nOptions: a ) 12 , b ) 6 , c ) 14 , d ) 16 , e ) 10", "output": [ "a" ] }, { "id": "task1420-cf4138a821d84074b7027f7d7ba78817", "input": "Problem: mr . x , a mathematician , defines a number as ' connected with 6 if it is divisible by 6 or if the sum of its digits is 6 , or if 6 is one of the digits of the number . other numbers are all ' not connected with 6 ' . as per this definition , the number of integers from 1 to 60 ( both inclusive ) which are not connected with 6 is \nOptions: a ) 18 , b ) 22 , c ) 42 , d ) 43 , e ) 45", "output": [ "d" ] }, { "id": "task1420-1fc024d0e86c44109913284377b7ee53", "input": "Problem: anne bought doughnuts for a class breakfast party . she bought 12 chocolate doughnuts , 6 coconut doughnuts , and 8 jam - filled doughnuts . how many doughnuts did anne buy in all ? \nOptions: a ) 25 , b ) 26 , c ) 39 , d ) 21 , e ) 11", "output": [ "b" ] }, { "id": "task1420-71d7e326d8c94326a19e3ad64e50be19", "input": "Problem: robert ate 9 chocolates , nickel ate 2 chocolates . how many more chocolates did robert ate than nickel ? \nOptions: a ) a ) 4 , b ) b ) 7 , c ) c ) 9 , d ) d ) 5 , e ) e ) 2", "output": [ "b" ] }, { "id": "task1420-703a97e87c4c41ccb1aa5ec4f27e364a", "input": "Problem: find the value of ( 19 + 43 / 151 ) × 151 \nOptions: a ) 2924 , b ) 2916 , c ) 2614 , d ) 2912 , e ) 2215", "output": [ "d" ] }, { "id": "task1420-6f05592067804a54966f233d4027d3bc", "input": "Problem: a bag of potatoes weighs 16 kg divided by a quarter of its weight . how much does the bag weigh ? \nOptions: a ) 4 kg , b ) 8 kg , c ) 7 kg , d ) 3 kg , e ) 9 kg", "output": [ "b" ] }, { "id": "task1420-cc395a3d77514295b830a73d59e0ee63", "input": "Problem: the average of 5 numbers id 27 . if one number is excluded , the average becomes 25 . the excluded number is \nOptions: a ) 25 , b ) 27 , c ) 30 , d ) 35 , e ) none", "output": [ "d" ] }, { "id": "task1420-040da6927ae0463e8294dad8006736e7", "input": "Problem: rahul played weel in this season . his current batting averagge is 53 . if he score 78 runs in today match . his batting average will become 58 . how many matches had he played in this season . \nOptions: a ) 4 , b ) 10 , c ) 9 , d ) 6 , e ) 5", "output": [ "a" ] }, { "id": "task1420-9b556afc17eb4189a806a175fa8d7b61", "input": "Problem: a certain meter records voltage between 0 and 10 volts inclusive . if the average value of 3 recordings on the meter was 9 volts , what was the smallest possible recording in volts ? \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 7", "output": [ "e" ] }, { "id": "task1420-269543188f214709be70a46c813573c1", "input": "Problem: the average age of a class of 39 students is 15 years . if the age of the teacher be included , then the average increased by 3 months . find the age of the teacher ? \nOptions: a ) 25 , b ) 28 , c ) 30 , d ) 35 , e ) 39", "output": [ "a" ] }, { "id": "task1420-433a4acff5b84111adf0a10184fbc774", "input": "Problem: a card game called “ high - low ” divides a deck of 52 playing cards into 2 types , “ high ” cards and “ low ” cards . there are an equal number of “ high ” cards and “ low ” cards in the deck and “ high ” cards are worth 2 points , while “ low ” cards are worth 1 point . if you draw cards one at a time , how many ways can you draw “ high ” and “ low ” cards to earn 6 points if you must draw exactly 3 “ low ” cards ? \nOptions: a ) 1 , b ) 20 , c ) 3 , d ) 4 , e ) 5", "output": [ "b" ] }, { "id": "task1420-e1ca83780feb415f88926abd9959358d", "input": "Problem: the sum of first n consecutive odd integers is n ^ 2 . what is the sum of all odd integers between 9 and 39 inclusive . \nOptions: a ) 351 , b ) 384 , c ) 410 , d ) 424 , e ) 450", "output": [ "b" ] }, { "id": "task1420-17292169053245bb91aff97c7f33fcf6", "input": "Problem: total 15 cows 5 cow gives each 2 liter milk 5 cow gives each 3 / 4 liter milk 5 cow gives each 1 / 4 liter milk this is split into 3 son per each 5 cows & 5 liter milk how ? \nOptions: a ) 10 , b ) 5 , c ) 15 , d ) 7.5 , e ) 12.5", "output": [ "b" ] }, { "id": "task1420-07ec479cf7e1496d8ab9dba538a02b78", "input": "Problem: if the radius of a cylinder is doubled and height 5 times , what is the new volume of the cylinder divided by the old one ? \nOptions: a ) 8 . , b ) 2 . , c ) 6 . , d ) 20 . , e ) 10 .", "output": [ "d" ] }, { "id": "task1420-3db804bd0b224db3aac27f9e1d250fa2", "input": "Problem: a small pool filled only with water will require an additional 600 gallons of water in order to be filled to 80 % of its capacity . if pumping in these additional 600 gallons of water will increase the amount of water in the pool by 30 % , what is the total capacity of the pool in gallons ? \nOptions: a ) 1000 , b ) 1250 , c ) 1300 , d ) 1600 , e ) 2000", "output": [ "e" ] }, { "id": "task1420-eda001b336ec4e628216b25497e939a8", "input": "Problem: how many unique positive odd integers less than 80 are equal to the product of a positive multiple of 5 and an odd number ? \nOptions: a ) 4 , b ) 8 , c ) 11 , d ) 12 , e ) 15", "output": [ "b" ] }, { "id": "task1420-2210a0f2fb83467792ddd5fd1b5593ed", "input": "Problem: solve for x and check : - 12 x = 72 \nOptions: a ) - 4 , b ) - 2 , c ) - 6 , d ) - 12 , e ) none of these", "output": [ "c" ] }, { "id": "task1420-cc579425ba5349cba90ab190fb2774d3", "input": "Problem: if n is a natural number , then ( 6 n ^ 2 + 6 n ) is always divisible by \nOptions: a ) 6 only , b ) 6 and 12 both , c ) 12 only , d ) 18 only , e ) 12 and 18 both", "output": [ "b" ] }, { "id": "task1420-37b3aa0da27044cbaebdf4e0b8f37fab", "input": "Problem: log ( a ( a ( a ) ^ 1 / 4 ) ^ 1 / 4 ) ^ 1 / 4 here base is a . \nOptions: a ) 0 , b ) 21 / 64 , c ) 1 , d ) 22 / 63 , e ) 23 / 65", "output": [ "b" ] }, { "id": "task1420-c09c99da76d2465685efcfc34915b307", "input": "Problem: if 1488 / 1.24 = 1200 , then 148.8 / 12.4 is equal to ? \nOptions: a ) 17 , b ) 10 , c ) 14 , d ) 12 , e ) 11", "output": [ "d" ] }, { "id": "task1420-464a3c5332dd4ba095d369c10b3d80c1", "input": "Problem: a pharmaceutical company received $ 6 million in royalties on the first $ 20 million in sales of the generic equivalent of one of its products and then $ 9 million in royalties on the next $ 108 million in sales . by approximately what percent did the ratio of royalties to sales decrease from the first $ 20 million in sales to the next $ 108 million in sales ? \nOptions: a ) 8 % , b ) 15 % , c ) 45 % , d ) 52 % , e ) 72 %", "output": [ "e" ] }, { "id": "task1420-d34044f4c9b745ea8d1448e91bde6226", "input": "Problem: for each 6 - month period during a light bulb ' s life span , the odds of it not burning out from over - use are half what they were in the previous 6 - month period . if the odds of a light bulb burning out during the first 6 - month period following its purchase are 1 / 3 , what are the odds of it burning out during the period from 6 months to 1 year following its purchase ? \nOptions: a ) 5 / 27 , b ) 2 / 9 , c ) 1 / 3 , d ) 4 / 9 , e ) 2 / 3", "output": [ "d" ] }, { "id": "task1420-b46d60db08a840bc9cb882ee2ff9f3d5", "input": "Problem: if n is a natural number , then ( 6 n ^ 2 + 6 n ) is always divisible by : \nOptions: a ) 6 , b ) 12 , c ) 24 , d ) 6 only , e ) 6 and 12 both", "output": [ "e" ] }, { "id": "task1420-d92a96f65d444dbb8f9e5c7c495bc754", "input": "Problem: what is the least common multiple of 15 , 22 and 24 ? \nOptions: a ) 60 , b ) 120 , c ) 240 , d ) 1320 , e ) 1720", "output": [ "d" ] }, { "id": "task1420-db4f49e511dc4a1394e8ff6ad6ed2cc0", "input": "Problem: a , b and c rent a pasture . if a puts 10 oxen for 7 months , b puts 12 oxen for 5 months and c puts 15 oxen for 3 months for grazing and the rent of the pasture is rs . 175 , then how much amount should c pay as his share of rent ? \nOptions: a ) 40 , b ) 45 , c ) 49 , d ) 51 , e ) 43", "output": [ "b" ] }, { "id": "task1420-b27b96e4400e4dddb23ee835d5edc8a6", "input": "Problem: find large number from below question the difference of two numbers is 2500 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder \nOptions: a ) 3345 , b ) 1250 , c ) 1540 , d ) 2997 , e ) 1635", "output": [ "d" ] }, { "id": "task1420-5f063e4618cc4f9d960b33e298376e06", "input": "Problem: the area of one square is x ^ 2 + 4 x + 4 and the area of another square is 4 x ^ 2 − 12 x + 9 . if the sum of the perimeters of both squares is 32 , what is the value of x ? \nOptions: a ) 0 , b ) 2 , c ) 2.5 , d ) 4.67 , e ) 3", "output": [ "e" ] }, { "id": "task1420-56eae9db513949dabab682779f38701a", "input": "Problem: at the opening of a trading day at a certain stock exchange , the price per share of stock k was $ 8 . if the price per share of stock k was $ 9 at the closing of the day , what was the percent increase in the price per share of stock k for that day ? \nOptions: a ) 1.4 % , b ) 5.9 % , c ) 11.1 % , d ) 12.5 % , e ) 23.6 %", "output": [ "d" ] }, { "id": "task1420-5b03154fd66748d194c4af294ea35e94", "input": "Problem: in a division sum , the quotient is 20 , the divisor 66 and the remainder 55 , find the dividend ? \nOptions: a ) 1375 , b ) 1376 , c ) 1875 , d ) 1365 , e ) 1345", "output": [ "a" ] }, { "id": "task1420-437232e366e547b2b5b78360601a081c", "input": "Problem: if ( 2 ^ 16 ) ( 25 ^ s ) = 5 ( 10 ^ m ) what is the value of m ? \nOptions: a ) 7 , b ) 8 , c ) 15 , d ) 16 , e ) 23", "output": [ "d" ] }, { "id": "task1420-91fe7b8e3edb47819519c8d320eb0187", "input": "Problem: ( 7.5 × 7.5 + 37.5 + 2.5 × 2.5 ) is equal to : \nOptions: a ) 30 , b ) 60 , c ) 80 , d ) 100 , e ) none of these", "output": [ "d" ] }, { "id": "task1420-fa3c3998c30c4c68b23b002a863ea6b7", "input": "Problem: a fold density is 19 times greater than the water and for copper it is 9 times . at what ratio you can mix gold and copper to get 15 times denser than water . ? \nOptions: a ) 3 : 1 , b ) 3 : 2 , c ) 3 : 5 , d ) 3 : 8 , e ) 3 : 7", "output": [ "b" ] }, { "id": "task1420-9ebf6c2574364abca79f83af3011998a", "input": "Problem: a no . when divided by the sum of 555 and 445 gives 2 times their difference as quotient & 30 as remainder . find the no . is ? \nOptions: a ) 122443 , b ) 154546 , c ) 165454 , d ) 186545 , e ) 220030", "output": [ "e" ] }, { "id": "task1420-3c366e7dcc354b89b1b776a62699f4f1", "input": "Problem: the average weight of 19 students is 15 kg . by the admission of a new student the average weight is reduced to 14.9 kg . the weight of the new student is ? \nOptions: a ) 10.6 kg , b ) 10.8 kg , c ) 11 kg , d ) 13 kg , e ) none", "output": [ "d" ] }, { "id": "task1420-1a3b65da137849a18f19a86df27101e2", "input": "Problem: a gambler bought $ 3,000 worth of chips at a casino in denominations of $ 20 and $ 100 . that evening , the gambler lost 14 chips , and then cashed in the remainder . if the number of $ 20 chips lost was 2 more or 2 less than the number of $ 100 chips lost , what is the largest amount of money that the gambler could have received back ? \nOptions: a ) $ 2,240 , b ) $ 2,120 , c ) $ 1,960 , d ) $ 1,920 , e ) $ 1,400", "output": [ "a" ] }, { "id": "task1420-3cc875e0ffa24a84b7e15759d8720fc9", "input": "Problem: find the total number of prime factors in the expression ( 4 ) ^ 13 x ( 7 ) ^ 5 x ( 11 ) ^ 2 \nOptions: a ) 26 , b ) 22 , c ) 25 , d ) 27 , e ) 33", "output": [ "e" ] }, { "id": "task1420-c230fa3cf377439681823f83682c4e9c", "input": "Problem: shekar scored 76 , 65 , 82 , 67 and 85 marks in mathematics , science , social studies , english and biology respectively . what are his average marks ? \nOptions: a ) 65 , b ) 69 , c ) 75 , d ) 85 , e ) 90", "output": [ "c" ] }, { "id": "task1420-b76073231c2644cf9eb037190c7915e4", "input": "Problem: three numbers are in the ratio 2 : 3 : 5 and their average is 50 . the largest number is : \nOptions: a ) 30 , b ) 75 , c ) 27 , d ) 21 , e ) 22", "output": [ "b" ] }, { "id": "task1420-3d6242fc41874025bb07dd7ab59f66f4", "input": "Problem: in the set of positive integers from 1 to 60 , what is the sum of all the odd multiples of 5 ? \nOptions: a ) 180 , b ) 185 , c ) 190 , d ) 160 , e ) 165", "output": [ "a" ] }, { "id": "task1420-0a5706dc84d3430a82d94a42b04804ef", "input": "Problem: when x is multiplied by 3 , the result is 26 more than the result of subtracting x from 26 . what is the value of x ? \nOptions: a ) - 4 , b ) - 2 , c ) 11 , d ) 13 , e ) 22", "output": [ "d" ] }, { "id": "task1420-f513b2133ba54f3899e96592a9d133a0", "input": "Problem: the average weight of 8 people increases by 2.5 kg when a new person comes in place of one of them weighing 35 kg . what is the weight of the new person ? \nOptions: a ) 75 kg , b ) 85 kg , c ) 95 kg , d ) 65 kg , e ) 55 kg", "output": [ "e" ] }, { "id": "task1420-a3ac608c6122453397623b2cf5cc415a", "input": "Problem: in a group of ducks and cows , the total number of legs are 36 more than twice the number of heads . find the total number of cows . \nOptions: a ) 12 , b ) 14 , c ) 16 , d ) 18 , e ) 20", "output": [ "d" ] }, { "id": "task1420-0a15b7abc848480a9734edfe72336485", "input": "Problem: gold is 19 times as heavy as water and copper is 9 times as heavy as water . in what ratio should these be mixed to get an alloy 15 times as heavy as water ? \nOptions: a ) 3 : 2 , b ) 3 : 8 , c ) 5 : 7 , d ) 3 : 7 , e ) 3 : 6", "output": [ "a" ] }, { "id": "task1420-54f1a6b438954f0eadedfdd65e04367f", "input": "Problem: what is the total number of positive integers that are less than 200 and that have no positive factor in common with 200 other than 1 ? \nOptions: a ) 60 , b ) 70 , c ) 80 , d ) 90 , e ) 100", "output": [ "c" ] }, { "id": "task1420-de5cf49302824c0a8138935f7010cc33", "input": "Problem: solve x 2 â € “ 3 x â € “ 4 = 0 . \nOptions: a ) 14 , b ) - 14 , c ) 23 , d ) 2 , - 3 , e ) 34", "output": [ "b" ] }, { "id": "task1420-6e1de75d21c344399f2f685ad61371f1", "input": "Problem: if f ( f ( n ) ) + f ( n ) = 2 n + 3 , f ( 0 ) = 1 then f ( 2013 ) = ? \nOptions: a ) 2014 , b ) 2088 , c ) 270 , d ) 1881 , e ) 1781", "output": [ "a" ] }, { "id": "task1420-5dbba1b0acbd439cb8dcbcd51354e11c", "input": "Problem: the average of 25 results is 50 . the average of first 12 of those is 14 and the average of last 12 is 17 . what is the 13 th result ? \nOptions: a ) 741 , b ) 752 , c ) 878 , d ) 785 , e ) 458", "output": [ "c" ] }, { "id": "task1420-3841d37e4ccb439caeacb229bbdef33d", "input": "Problem: ages of two persons differ by 22 years . if 6 year ago , the elder one be 3 times as old the younger one , find their present age \nOptions: a ) 12,28 , b ) 14,30 , c ) 17,39 , d ) 18,34 , e ) 19,34", "output": [ "c" ] }, { "id": "task1420-9122dfd873504b37b20700d7649e992d", "input": "Problem: the ages of patrick and michael are in the ratio of 3 : 5 and that of michael and monica are in the ratio of 3 : 5 . if the sum of their ages is 148 , what is the difference between the ages of patrick and monica ? \nOptions: a ) 27 , b ) 48 , c ) 45 , d ) 72 , e ) 18", "output": [ "b" ] }, { "id": "task1420-10ee01c4a65c4ae68bb97011a302e554", "input": "Problem: what number should replace the question mark ? 10 , 30 , 14 , 25 , 18 , 20 , - - - ? \nOptions: a ) 19 , b ) 21 , c ) 25 , d ) 22 , e ) 20", "output": [ "d" ] }, { "id": "task1420-4a696bbdabe24c3da108260586871fb1", "input": "Problem: in a division sum , the remainder is 0 . as student mistook the divisor by 12 instead of 21 and obtained 56 as quotient . what is the correct quotient ? \nOptions: a ) 0 , b ) 12 , c ) 32 , d ) 20 , e ) 25", "output": [ "c" ] }, { "id": "task1420-17277d90868b44f6a022d3fc80209d7f", "input": "Problem: a certain number of horses and an equal number of men are going somewhere . half of the owners are on their horses ' back while the remaining ones are walking along leading their horses . if the number of legs walking on the ground is 90 , how many horses are there ? \nOptions: a ) 10 , b ) 12 , c ) 14 , d ) 16 , e ) 18", "output": [ "e" ] }, { "id": "task1420-26d4fec927684f59b31be34dc6021738", "input": "Problem: 8269 ã — 9998 = ? \nOptions: a ) 85432864 , b ) 82673462 , c ) 86985434 , d ) 68954365 , e ) 65486954", "output": [ "b" ] }, { "id": "task1420-ae9aeafce25b4f4db23d0b511f50593a", "input": "Problem: if x is 13 percent greater than 80 , then x = \nOptions: a ) 88.8 , b ) 90.4 , c ) 88.0 , d ) 70.9 , e ) 71.2", "output": [ "b" ] }, { "id": "task1420-f89abaabac7e487b88d4cd0644568a39", "input": "Problem: all the students of class are told to sit in circle shape . here the boy at the 10 th position is exactly opposite to 40 th boy . total number of boys in the class ? \nOptions: a ) 50 , b ) 45 , c ) 60 , d ) 55 , e ) 53", "output": [ "c" ] }, { "id": "task1420-43a05dc1454c4d6dba43eaf501da355e", "input": "Problem: the average price of 3 items of furniture is rs . 15000 . if their prices are in the ratio 2 : 4 : 8 , the price of the cheapest item is ? \nOptions: a ) 2379 , b ) 2889 , c ) 5625 , d ) 9000 , e ) 28311", "output": [ "c" ] }, { "id": "task1420-1b4448c42f114eee8069a0c46ca3c116", "input": "Problem: a charitable association sold an average of 66 raffle tickets per member . among the female members , the average was 70 raffle tickets . the male to female ratio of the association is 1 : 2 . what was the average number e of tickets sold by the male members of the association \nOptions: a ) 50 , b ) 56 , c ) 58 , d ) 62 , e ) 66", "output": [ "c" ] }, { "id": "task1420-87b0e1a738f2427683c03adf2879bb43", "input": "Problem: the maximum number of students among them 1001 pens and 910 pencils can be distributed in such a way that each student get the same number of pens and same number of pencils ? \nOptions: a ) 87 , b ) 91 , c ) 100 , d ) 96 , e ) 101", "output": [ "b" ] }, { "id": "task1420-4330488768384a86a75327dae0f8933b", "input": "Problem: in a division sum , the quotient is 120 , the divisor 456 and the remainder 333 , find the dividend ? \nOptions: a ) 55287 , b ) 29887 , c ) 27768 , d ) 55053 , e ) 17191", "output": [ "d" ] }, { "id": "task1420-0ee5af8c6a174b279880f120f18de26d", "input": "Problem: if 10,000 microns = 1 decimeter , and 10,000 , 000,000 angstroms = 1 decimeter , how many angstroms equal 1 micron ? \nOptions: a ) 0.01 , b ) 1 , 000,000 , c ) 0.001 , d ) 1,000 , e ) 1.0 e - 05", "output": [ "b" ] }, { "id": "task1420-ee1ae3418f2a47f68d0fe7989ab40b40", "input": "Problem: in a certain company , the ratio of the number of managers to the number of non - managers in any department must always be greater than 7 : 37 . in the company , what is the maximum number of non - managers in a department that has 9 managers ? \nOptions: a ) 44 , b ) 45 , c ) 46 , d ) 47 , e ) 48", "output": [ "d" ] }, { "id": "task1420-8582e0f17d8146e5b1c53f9b54a4fe84", "input": "Problem: john has $ 1600 at the beginning of his trip , after spending money , he still has exactly $ 600 less than he spent on the trip . how much money does john still have ? \nOptions: a ) $ 200 , b ) $ 400 , c ) $ 600 , d ) $ 800 , e ) $ 500", "output": [ "e" ] }, { "id": "task1420-7446d58e625f4118a8821b32ffdfbb9d", "input": "Problem: what is the units digit of 17 ^ 83 × 13 ^ 82 × 11 ^ 83 ? \nOptions: a ) 4 , b ) 5 , c ) 6 , d ) 7 , e ) 8", "output": [ "b" ] }, { "id": "task1420-6de4fbaaa4634206bb3dd0e838bb5c97", "input": "Problem: the temperature of a certain cup of coffee 5 minutes after it was poured was 120 degrees fahrenheit . if the temperature f of the coffee t minutes after it was poured can be determined by the formula f = 120 * 2 ^ ( - at ) + 60 , where f is in degrees fahrenheit and a is a constant . then the temperature of the coffee 30 minutes after it was poured was how many degrees fahrenheit ? \nOptions: a ) 65 , b ) 61.875 , c ) 80 , d ) 85 , e ) 90", "output": [ "b" ] }, { "id": "task1420-e733df34353944328a1ff9828589422e", "input": "Problem: teacher took exam for english , average for the entire class was 80 marks . if we say that 10 % of the students scored 95 marks and 20 % scored 90 marks then calcualte average marks of the remaining students of the class . \nOptions: a ) 60 , b ) 70 , c ) 65 , d ) 75 , e ) 80", "output": [ "d" ] }, { "id": "task1420-55a4f02ed5d14e4c837f3d1de4e4d22b", "input": "Problem: find the value of 582964 x 99999 = m ? \nOptions: a ) 58210607666 , b ) 58310607896 , c ) 58295817036 , d ) 58591650836 , e ) 58310692816", "output": [ "c" ] }, { "id": "task1420-e8417296ed604fd3b036f120c49b5a74", "input": "Problem: vishal invested 10 % more than trishul . trishul invested 10 % less than raghu . if the total sum of their investments is rs . 6936 , how much amount did raghu invest ? \nOptions: a ) 1287 , b ) 2887 , c ) 2000 , d ) 1129 , e ) 2400", "output": [ "e" ] }, { "id": "task1420-159a048a3d5c480fba6b80bdbcb2cfa8", "input": "Problem: every year an amount increases by 1 / 8 th of itself . how much will it be after two years if its present value is rs . 59000 ? \nOptions: a ) 81000 , b ) 81007 , c ) 74671.875 , d ) 81066 , e ) 81022", "output": [ "c" ] }, { "id": "task1420-2bbb407a35804a3dbe0a61ff45f27b68", "input": "Problem: a jogger running at 9 km / hr along side a railway track is 240 m ahead of the engine of a 210 m long train running at 45 km / hr in the same direction . in how much time will the train pass the jogger ? \nOptions: a ) 88 , b ) 45 , c ) 36 , d ) 80 , e ) 12", "output": [ "b" ] }, { "id": "task1420-ce5ca323920c467d852406771ae03486", "input": "Problem: find the remainder of the division ( 3 ^ 15 ) / 7 . \nOptions: a ) 7 , b ) 6 , c ) 15 , d ) 8 , e ) 2", "output": [ "b" ] }, { "id": "task1420-038350e5f4bc407cb6c020fdb3779800", "input": "Problem: if jimmy drinks 8 ounces of water each time for 8 times a day . how much gallons of water he would have to prepare ahead to drink for 5 days ? ( 1 ounce = 0.0078125 gallon ) \nOptions: a ) 1 , b ) 1.5 , c ) 2 , d ) 2.5 , e ) 3", "output": [ "d" ] }, { "id": "task1420-a61bafa907094b4ea2f2ae663a0d69be", "input": "Problem: a sum of money is to be distributed among a , b , c , d in the proportion of 5 : 2 : 4 : 3 . if c gets rs . 1200 more than d , what is b ' s share ? \nOptions: a ) rs . 500 , b ) rs . 1500 , c ) rs . 2000 , d ) rs . 2400 , e ) none of the above", "output": [ "d" ] }, { "id": "task1420-f1fb0f385e3b42bba925d8462d65140a", "input": "Problem: positive integer y is 50 percent of 50 percent of positive integer x , and y percent of x equals 16 . what is the value of x ? \nOptions: a ) 20 , b ) 40 , c ) 80 , d ) 160 , e ) 320", "output": [ "c" ] }, { "id": "task1420-cbf509ef1e2b447d8429fa73433640d2", "input": "Problem: a man saves 10 % of his monthly salary . if an account of dearness of things he is to increase his monthly expenses by 10 % , he is only able to save rs . 200 per month . what is his monthly salary ? \nOptions: a ) rs . 22,000 , b ) rs . 21,000 , c ) rs . 20,000 , d ) rs . 23,000 , e ) rs . 24,000", "output": [ "c" ] }, { "id": "task1420-ac2ba2cbf9344df6b75f32483bee5b59", "input": "Problem: the smallest value of n , for which 2 n + 1 is not a prime number , is \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) none , e ) 6", "output": [ "b" ] }, { "id": "task1420-bf3d70bc43b44ce5ad5fe8cdfd5af855", "input": "Problem: the weight of every type a widget is the same , the weight of every type b widget is the same , and the weight of every type c widget is the same . if the weight of 7 type a widgets is equal to the weight of 2 type b widgets , and the weight of 3 type b widgets is equal to the weight of 7 type c widgets . what is the ratio of the total weight of 1 type a widget and 1 type b widget , to the total weight of 1 type b widget and 1 type c widget ? \nOptions: a ) 1 : 2 , b ) 3 : 4 , c ) 5 : 6 , d ) 7 : 8 , e ) 9 : 10", "output": [ "e" ] }, { "id": "task1420-2d1991a300554241ab623096fe49dfeb", "input": "Problem: a grocer has a sale of rs . 6435 , rs . 6927 , rs . 6855 , rs . 7230 and rs . 6562 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 6900 ? \nOptions: a ) s . 4991 , b ) s . 5991 , c ) s . 6001 , d ) s . 6991 , e ) s . 7391", "output": [ "e" ] }, { "id": "task1420-395ef4991632454dae58549a8c25a79d", "input": "Problem: the sum of the ages 4 members of a family 5 years ago was 94 . today , when the daughter has been married off and replaced by a daughter - in - law , the sum of their ages is 100 . assuming that there has been no other change in the family structure and all members are alive , what is the difference in the ages of daughter and daughter - in - law ? \nOptions: a ) 22 , b ) 11 , c ) 25 , d ) 14 , e ) 16", "output": [ "d" ] }, { "id": "task1420-34a162c8e1c541eaae986a2f9d8bf83a", "input": "Problem: dividing by 3 ⁄ 8 and then multiplying by 5 ⁄ 8 is the same as dividing by what number ? \nOptions: a ) 31 ⁄ 5 , b ) 16 ⁄ 5 , c ) 20 ⁄ 9 , d ) 9 ⁄ 20 , e ) 5 ⁄ 3", "output": [ "e" ] }, { "id": "task1420-0fb5c3d5a6374ece821792de741b1a40", "input": "Problem: let the number which when multiplied by 16 is increased by 375 . \nOptions: a ) 14 , b ) 20 , c ) 26 , d ) 25 , e ) 30", "output": [ "d" ] }, { "id": "task1420-c33eb14a5d6342bc987d7c9a46100f8d", "input": "Problem: of the goose eggs laid at a certain pond , 2 / 3 hatched and 3 / 4 of the geese that hatched from those eggs survived the first month . of the geese that survived the first month , 3 / 5 did not survive the first year . if 125 geese survived the first year and if no more than one goose hatched from each egg , how many goose eggs were laid at the pond ? \nOptions: a ) 280 , b ) 400 , c ) 540 , d ) 625 , e ) 840", "output": [ "d" ] }, { "id": "task1420-ea7fe8bdb437445e9d647cc3fd33e2e3", "input": "Problem: the sum of all solutions for x in the equation x ^ 2 – 8 x + 21 = | x – 4 | + 3 is equal to : \nOptions: a ) – 7 , b ) 7 , c ) 20 , d ) 12 , e ) 14", "output": [ "c" ] }, { "id": "task1420-bf9ea20bee1b4863a2fe213fdeb571b0", "input": "Problem: how many odd prime numbers are there less than 150 ? \nOptions: a ) 24 , b ) 34 , c ) 44 , d ) 54 , e ) 64", "output": [ "b" ] }, { "id": "task1420-586b970177b543c3b940306a3dff02ab", "input": "Problem: if one root of the equation 2 x ^ 2 + 3 x – k = 0 is 5 , what is the value of k ? \nOptions: a ) 65 , b ) 79 , c ) 68 , d ) 87 , e ) 90", "output": [ "a" ] }, { "id": "task1420-462a5241c5124f3cb16a491365e3eb21", "input": "Problem: a number when divided by 5 gives a number which is 8 more than the remainder obtained on dividing the same number by 34 . such a least possible number v is \nOptions: a ) 74 , b ) v = 75 , c ) v = 175 , d ) v = 680 , e ) 690", "output": [ "b" ] }, { "id": "task1420-b71e3736f43640e992b7ff93953321c1", "input": "Problem: a mixture contains milk and water in the ratio 3 : 2 . on adding 10 litters of water , the ratio of milk to water becomes 2 : 3 . total quantity of milk & water before adding water to it ? \nOptions: a ) 10 , b ) 30 , c ) 50 , d ) 20 , e ) 30", "output": [ "d" ] }, { "id": "task1420-2860d599f20744969776352070aba311", "input": "Problem: on the number line , the number p is twice as many units from - 2 as - 2 is from 2 . if p is less than – 2 , what is the value of p ? \nOptions: a ) – 18 , b ) – 10 , c ) – 6 , d ) 10 , e ) 14", "output": [ "b" ] }, { "id": "task1420-56ea7a61a51f4b49a28a695a3fde0069", "input": "Problem: find the principle on a certain sum of money at 7 % per annum for 2 2 / 5 years if the amount being rs . 1120 ? \nOptions: a ) 939.6 , b ) 958.9 , c ) 927.78 , d ) 926.82 , e ) 902.1", "output": [ "b" ] }, { "id": "task1420-efc8264b303448cea3c478161e53f152", "input": "Problem: when positive integer x is divided by positive integer y , the remainder is 8 . if x / y = 96.16 , what is the value of y ? \nOptions: a ) 96 , b ) 75 , c ) 50 , d ) 25 , e ) 12", "output": [ "c" ] }, { "id": "task1420-09b4865a4c064dbf8f54ab7ec5e10701", "input": "Problem: the average of first 9 odd numbers is ? \nOptions: a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 9", "output": [ "e" ] }, { "id": "task1420-28e377599eed4442841eb749a918dc44", "input": "Problem: a ’ s speed is 20 / 15 times that of b . if a and b run a race , what part of the length of the race should a give b as a head start , so that the race ends in a dead heat ? \nOptions: a ) 1 / 17 , b ) 3 / 17 , c ) 1 / 10 , d ) 5 / 20 , e ) 3 / 10", "output": [ "d" ] }, { "id": "task1420-c73980324a9b487a9ca0276462553470", "input": "Problem: each week a restaurant serving mexican food uses the same volume of chili paste , which comes in either 25 - ounce cans or 15 - ounce cans of chili paste . if the restaurant must order 30 more of the smaller cans than the larger cans to fulfill its weekly needs , then how many larger cans are required to fulfill its weekly needs ? \nOptions: a ) 60 , b ) 70 , c ) 80 , d ) 100 , e ) 45", "output": [ "e" ] }, { "id": "task1420-4e7b5d4d232f4b459244d0f44ec825ec", "input": "Problem: if 75 percent of 600 is 50 percent of x , then x = ? \nOptions: a ) 800 , b ) 900 , c ) 1000 , d ) 1100 , e ) 1200", "output": [ "b" ] }, { "id": "task1420-ed9e12f665a343d280867ae22e5eb6db", "input": "Problem: what is the remainder when 1031 * 1047 * 1050 * 1053 is divided by 33 ? \nOptions: a ) 3 , b ) 24 , c ) 30 , d ) 21 , e ) 18", "output": [ "b" ] }, { "id": "task1420-9b657f4120214da1a9e0709747f71850", "input": "Problem: if a - b = 2 and a 2 + b 2 = 25 , find the value of ab . \nOptions: a ) a ) 10.5 , b ) b ) 12 , c ) c ) 15 , d ) d ) 18 , e ) e ) 20", "output": [ "a" ] }, { "id": "task1420-a2d3c0d72c1d41998aa730544b9d142e", "input": "Problem: a certain ball team has an equal number of right - and left - handed players . on a certain day , one - third of the players were absent from practice . of the players at practice that day , one - third were right handed . what is the ratio of the number of right - handed players who were not at practice that day to the number of left handed players who were not at practice ? \nOptions: a ) 1 / 3 , b ) 5 / 1 , c ) 5 / 7 , d ) 7 / 5 , e ) 3 / 2", "output": [ "b" ] }, { "id": "task1420-35ded5ebd27546768366d4cea42d236b", "input": "Problem: a certain clock marks every hour by striking a number of times equal to the hour , and the time required for a stroke is exactly equal to the time interval between strokes . at 6 : 00 the time lapse between the beginning of the first stroke and the end of the last stroke is 66 seconds . at 12 : 00 , how many seconds elapse between the beginning of the first stroke and the end of the last stroke ? \nOptions: a ) a . 138 , b ) b . 50 , c ) c . 48 , d ) d . 46 , e ) e . 44", "output": [ "a" ] }, { "id": "task1420-8d6ded5fabee47329d6f74077854ffe4", "input": "Problem: a meal cost $ 33.50 and there was no tax . if the tip was more than 10 pc but less than 15 pc of the price , then the total amount paid should be : \nOptions: a ) 40 - 42 , b ) 39 - 41 , c ) 38 - 40 , d ) 37 - 39 , e ) 36 - 37", "output": [ "d" ] }, { "id": "task1420-c53555ac78ea4c06a9b00e24e8de74fd", "input": "Problem: the average age of applicants for a new job is 10 , with a standard deviation of 8 . the hiring manager is only willing to accept applicants whose age is within one standard deviation of the average age . assuming that all applicants ' ages are integers and that the endpoints of the range are included , what is the maximum number of different ages of the applicants ? \nOptions: a ) 8 , b ) 16 , c ) 17 , d ) 18 , e ) 34", "output": [ "c" ] }, { "id": "task1420-3566a842fdb544e08ad705741c561c87", "input": "Problem: the two lines y = x and x = - 6 intersect on the coordinate plane . if z represents the area of the figure formed by the intersecting lines and the x - axis , what is the side length of a cube whose surface area is equal to 6 z ? \nOptions: a ) 16 , b ) 3 √ 2 , c ) 8 , d ) 2 √ 2 , e ) ( √ 2 ) / 3", "output": [ "b" ] }, { "id": "task1420-12170758852e44caa44bf12ec28a2853", "input": "Problem: how much is 85 % of 40 is greater than 4 / 5 of 25 ? \nOptions: a ) 22 , b ) 14 , c ) 88 , d ) 12 , e ) 66", "output": [ "b" ] }, { "id": "task1420-c184462c9b284aa6be4fff060127bd5b", "input": "Problem: what is the sum of all remainders obtained when the first 130 natural numbers are divided by 9 ? \nOptions: a ) 397 , b ) 401 , c ) 403 , d ) 412 , e ) 399", "output": [ "d" ] }, { "id": "task1420-3496241868b84b23a6b014df2ea5261b", "input": "Problem: each week , harry is paid x dollars per hour for the first 18 hours and 1.5 x dollars for each additional hour worked that week . each week , james is paid x dollars per per hour for the first 40 hours and 2 x dollars for each additional hour worked that week . last week james worked a total of 41 hours if harry and james were paid the same amount last week , how many hours did harry work last week ? \nOptions: a ) 34 , b ) 36 , c ) 37 , d ) 38 , e ) 39", "output": [ "a" ] }, { "id": "task1420-e2c331a140664f3583f9f7d5efbc46bd", "input": "Problem: 1504 x 1504 = ? \nOptions: a ) 2262016 , b ) 2250000 , c ) 12000 , d ) 2262000 , e ) 2250016", "output": [ "a" ] }, { "id": "task1420-b72bdad73eec4ad99666da954ec05ed0", "input": "Problem: in a fort , there are 1200 soldiers . if each soldier consumes 3 kg per day , the provisions available in the fort will last for 30 days . if some more soldiers join , the provisions available will last for 25 days given each soldier consumes 2.5 kg per day . find the number of soldiers joining the fort in that case ? \nOptions: a ) 273 , b ) 528 , c ) 539 , d ) 538 , e ) 723", "output": [ "b" ] }, { "id": "task1420-10b3af330aba4c8e9b080a948cb5b68e", "input": "Problem: what is the least value of x . so that 21 x 57 is divisible by 3 . \nOptions: a ) 2 , b ) 0 , c ) 1 , d ) 3 , e ) 4", "output": [ "b" ] }, { "id": "task1420-3cd125a6b9fb4b6b8117e934da19fb74", "input": "Problem: on rainy mornings , mo drinks exactly n cups of hot chocolate ( assume that n is an integer ) . on mornings that are not rainy , mo drinks exactly 5 cups of tea . last week mo drank a total of 36 cups of tea and hot chocolate together . if during that week mo drank 14 more tea cups than hot chocolate cups , then how many rainy days were there last week ? \nOptions: a ) 5 , b ) 3 , c ) 4 , d ) 2 , e ) 6", "output": [ "d" ] }, { "id": "task1420-8879ac81428d42468f1e21927ca243d3", "input": "Problem: if the number 992 , 132,24 x is divisible by 11 , what must be the value of x ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 0", "output": [ "e" ] }, { "id": "task1420-6ee9bc287de44d9aadf2200e7d27b782", "input": "Problem: at veridux corporation , there are 210 employees . of these , 90 are female , and the rest are males . there are a total of 40 managers , and the rest of the employees are associates . if there are a total of 135 male associates , how many female managers are there ? \nOptions: a ) 15 , b ) 20 , c ) 25 , d ) 30 , e ) 55", "output": [ "e" ] }, { "id": "task1420-f618812bd67f4dbdbf73a98902ecf00d", "input": "Problem: 4 brothers adam , bill , charles and david together contributed certain amount of money and purchased a car . the contribution made by adam is half that of the total contribution made by the other 3 brothers , contribution made by bill is one - fourth of the total contribution made by the other 3 brothers and the contribution made by charles is two - third of the total contribution made by the other 3 brothers . if the total price of the car is $ 9750 , find the contribution made by david . \nOptions: a ) $ 540 , b ) $ 580 , c ) $ 600 , d ) $ 650 , e ) $ 680", "output": [ "d" ] }, { "id": "task1420-43f631f5778442aeb571b8dc640c2aa4", "input": "Problem: what is the probability of rolling a total of 5 with a single roll of two fair 6 - sided dice , each with the distinct numbers 1 through 6 on each side ? \nOptions: a ) 1 / 12 , b ) 1 / 6 , c ) 2 / 7 , d ) 1 / 3 , e ) 1 / 9", "output": [ "e" ] }, { "id": "task1420-51a2c7e8474a4c4c91705f221524908a", "input": "Problem: if the price of a certain computer increased 30 percent from y dollars to 351 dollars , then 2 y = \nOptions: a ) 540 , b ) 570 , c ) 619 , d ) 649 , e ) 700", "output": [ "a" ] }, { "id": "task1420-da0e8368dc664018924f6e6d70849aa8", "input": "Problem: dacid obtained 91 , 65 , 82 , 67 and 85 marks ( out of 100 ) in english , mathematics , physics , chemistry and biology . what are his average marks ? \nOptions: a ) 29 , b ) 78 , c ) 39 , d ) 37 , e ) 75", "output": [ "b" ] }, { "id": "task1420-e1e167433b7c4594b5c901659324f89e", "input": "Problem: how much water must be added to 52 litres of milk at 1 1 ⁄ 2 litres for 20 so as to have a mixture worth 10 2 ⁄ 3 a litre ? \nOptions: a ) 10 litres , b ) 13 litres , c ) 15 litres , d ) 18 litres , e ) none of these", "output": [ "b" ] }, { "id": "task1420-4ec6bc50b2ad444f8f38c56fda3d8fb5", "input": "Problem: a person decided to build a house in 100 days . he employed 100 men in the beginning and 100 more after 80 days and completed the construction in stipulated time . if he had not employed the additional men , how many days behind schedule would it have been finished ? \nOptions: a ) 40 , b ) 80 , c ) 70 , d ) 60 , e ) 50", "output": [ "a" ] }, { "id": "task1420-e135736baa134a0e83326aacbd7d1be6", "input": "Problem: if the price of a certain computer increased 30 percent from x dollars to 351 dollars , then 2 x = \nOptions: a ) 540 , b ) 570 , c ) 619 , d ) 649 , e ) 700", "output": [ "a" ] }, { "id": "task1420-25bc7fd1342841f19063c3ee556a4a9a", "input": "Problem: compute all real solutions to 16 x + 4 x + 1 - 96 = 0 \nOptions: a ) 3 / 2 , b ) 3 / 3 , c ) 2 / 4 , d ) 4 / 4 , e ) 4 / 5", "output": [ "a" ] }, { "id": "task1420-317c5b27d401410bb0df5794bf1a37c2", "input": "Problem: the average weight of 29 students is 28 kg . by the admission of a new student , the average weight is reduced to 27.2 kg . the weight of the new student is \nOptions: a ) 4 kg , b ) 21.6 kg , c ) 22.4 kg , d ) 21 kg , e ) none of these", "output": [ "a" ] }, { "id": "task1420-479e236d08534f969f28a015302927f6", "input": "Problem: the average age of an adult class is 40 years . 8 new students with an avg age of 32 years join the class . therefore decreasing the average by 4 year . find what was theoriginal strength of class ? \nOptions: a ) 8 , b ) 12 , c ) 15 , d ) 17 , e ) 18", "output": [ "a" ] }, { "id": "task1420-f18488726fd244a5a1abd80a11f3a6d0", "input": "Problem: what is the remainder when 1014 * 1047 * 1050 * 1053 is divided by 33 ? \nOptions: a ) 3 , b ) 6 , c ) 30 , d ) 21 , e ) 18", "output": [ "b" ] }, { "id": "task1420-062b403da38b48bf8471b72d15927dd6", "input": "Problem: every year an amount increases by 1 / 8 th of itself . how much will it be after two years if its present value is rs . 2880 ? \nOptions: a ) 8100 , b ) 3388 , c ) 7767 , d ) 2009 , e ) 3645", "output": [ "e" ] }, { "id": "task1420-c387c255bc21495a902ea695c918190f", "input": "Problem: if 42.30 = k ( 14 + m / 50 ) , where k and m are positive integers and m < 50 , then what is the value of k + m ? \nOptions: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10", "output": [ "c" ] }, { "id": "task1420-3f235dc602334c629ef16da156cba6e8", "input": "Problem: the value of a scooter depreciates in such a way that its value of the end of each year is 3 / 4 of its value of the beginning of the same year . if the initial value of the scooter is rs . 40,000 , what is the value at the end of 5 years ? \nOptions: a ) 3277 , b ) 2977 , c ) 9492 , d ) 6077 , e ) 17112", "output": [ "c" ] }, { "id": "task1420-94f45be1307a49d78eff4d4fe14f8a16", "input": "Problem: there are 16 bees in the hive , then 5 more fly . how many bees are there in all ? \nOptions: a ) 20 , b ) 33 , c ) 12 , d ) 17 , e ) 25", "output": [ "a" ] }, { "id": "task1420-e8f9c7ac55cd4c38ad214412257fd246", "input": "Problem: if x ^ 2 + ( 1 / x ^ 2 ) = 7 , x ^ 4 + ( 1 / x ^ 4 ) = ? \nOptions: a ) 10 , b ) 11 , c ) 12 , d ) 14 , e ) 47", "output": [ "e" ] }, { "id": "task1420-281065444d9445ec81268cce44ba3bdf", "input": "Problem: if x < y < z and y - x > 1 , where x is an even integer and y and z are odd integers , what is the least possible value of z - x ? \nOptions: a ) 6 , b ) 3 , c ) 8 , d ) 9 , e ) 10", "output": [ "b" ] }, { "id": "task1420-eff8ab5d93a64271804a5051138b5ee6", "input": "Problem: for integers x , y , and z , if ( 3 ^ x ) ( 4 ^ y ) ( 5 ^ z ) = 13107 , 200000 and x + y + z = 16 , what is the value of xy / z ? \nOptions: a ) undefined , b ) 0 , c ) 3 , d ) 5 , e ) 7", "output": [ "b" ] }, { "id": "task1420-e9a0629dd96f4db7bdfc43c38d9a0835", "input": "Problem: find large number from below question the difference of two numbers is 1015 . on dividing the larger number by the smaller , we get 9 as quotient and the 15 as remainder \nOptions: a ) 1209 , b ) 1324 , c ) 1245 , d ) 1140 , e ) 1635", "output": [ "d" ] }, { "id": "task1420-7e64e7b33abe47ba8c5dbe090d8a038c", "input": "Problem: how much is 80 % of 40 is greater than 4 / 5 of 25 ? \nOptions: a ) 22 , b ) 77 , c ) 15 , d ) 12 , e ) 88", "output": [ "d" ] }, { "id": "task1420-5c4317406bab427bb3c0a8d360374802", "input": "Problem: the average age of 22 students in a group is 12 years . when teacher ' s age is included to it , the average increases by one . what is the teacher ' s age in years ? \nOptions: a ) 31 , b ) 36 , c ) 35 , d ) 53 , e ) 57", "output": [ "c" ] }, { "id": "task1420-876e55bd69f14820be13457722ebf7b9", "input": "Problem: a student got twice as many sums wrong as he got right . if he attempted 54 sums in all , how many did he solve correctly ? \nOptions: a ) 12 , b ) 16 , c ) 18 , d ) 24 , e ) 26", "output": [ "c" ] }, { "id": "task1420-93dd9d18d0c345b4a18645f721b31cf7", "input": "Problem: a certain store sells all maps at one price and all books at another price . on monday the store sold 12 maps and 10 books for a total of $ 38.00 , and on tuesday the store sold 12 maps and 9 books for a total of $ 30.00 . at this store , how much less does a map sell for than a book ? \nOptions: a ) $ 0.25 , b ) $ 0.50 , c ) $ 0.75 , d ) $ 1.00 , e ) $ 4.5", "output": [ "e" ] }, { "id": "task1420-28aebb299f2d41a089d0d16130a4b1c5", "input": "Problem: if 15 percent of the students at a certain school went to a camping trip and took more than $ 100 , and 75 percent of the students who went to the camping trip did not take more than $ 100 , what percentage of the students at the school went to the camping trip ? \nOptions: a ) 95 , b ) 90 , c ) 85 , d ) 80 , e ) 60", "output": [ "e" ] }, { "id": "task1420-76bbff825a384e159e7eec9d4f69719a", "input": "Problem: evaluate : 60 - 12 ÷ 4 × 2 = \nOptions: a ) a ) 45 , b ) b ) 54 , c ) c ) 63 , d ) d ) 72 , e ) e ) 81", "output": [ "b" ] }, { "id": "task1420-8702fa53e09248dc81fe8a832a549303", "input": "Problem: if ( a + b ) = 5 , ( b + c ) = 9 and ( c + d ) = 3 , what is the value of ( a + d ) ? \nOptions: a ) 16 . , b ) 8 . , c ) 7 . , d ) 2 . , e ) - 1 .", "output": [ "e" ] }, { "id": "task1420-18ce6a9c94ba461a8107e72153c1d63b", "input": "Problem: every year an amount increases by 1 / 8 th of itself . how much will it be after two years if its present value is rs . 62000 ? \nOptions: a ) 81000 , b ) 78468.75 , c ) 81008 , d ) 81066 , e ) 81022", "output": [ "b" ] }, { "id": "task1420-ef8a6278ccf141d3851d7464a0c7fdd4", "input": "Problem: the scoring system in a certain football competition goes as follows : 3 points for victory , 1 point for a draw , and 0 points for defeat . each team plays 20 matches . if a team scored 5 points after 5 games , what is the least number of the remaining matches it has to win to reach the 40 - point mark by the end of the tournament ? \nOptions: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10", "output": [ "e" ] }, { "id": "task1420-538a0dbd4dda4de2a031a6f0e01c91e3", "input": "Problem: if 14 percent of the students at a certain school went to a camping trip and took more than $ 100 , and 75 percent of the students who went to the camping trip did not take more than $ 100 , what percentage of the students at the school went to the camping trip ? \nOptions: a ) 95 , b ) 90 , c ) 85 , d ) 80 , e ) 56", "output": [ "e" ] }, { "id": "task1420-f4f64d5a366d421a8da9e7fe1c9c83a1", "input": "Problem: the instructions state that cheryl needs 5 / 9 square yards of one type of material and 1 / 3 square yards of another type of material for a project . she buys exactly that amount . after finishing the project , however , she has 8 / 24 square yards left that she did not use . what is the total amount of square yards of material cheryl used ? \nOptions: a ) 1 / 12 , b ) 1 / 9 , c ) 2 / 3 , d ) 5 / 9 , e ) 2 1 / 9", "output": [ "d" ] }, { "id": "task1420-9ef779ec312d4475acffe96382ecc372", "input": "Problem: two persons raj and ramu started working for a company in similar jobs on january 1 , 1991 . raj ' s initial monthly salary was rs 400 , which increases by rs 40 after every year . ramu ' s initial monthly salary was rs 500 which increases by rs 20 after every 6 months . if these arrangements continue till december 31 , 200 . find the total salary they received during that period . \nOptions: a ) rs 108000 , b ) rs 144000 , c ) rs 132000 , d ) rs 152400 , e ) none of these", "output": [ "d" ] }, { "id": "task1420-51fd3eef94114957ab561903757e4af5", "input": "Problem: in a fraction , if numerator is added by 2 and denominator by 1 it results 1 , and if numerator added again by 4 and denominator by 2 it results 1 / 2 . find the fraction ? \nOptions: a ) 3 / 4 , b ) 5 / 4 , c ) 7 / 4 , d ) 9 / 4 , e ) 11 / 4", "output": [ "b" ] }, { "id": "task1420-cb85d9a803b942f0aa60fbc4860d4568", "input": "Problem: a , b and c are partners . a receives 2 / 3 of profits , b and c dividing the remainder equally . a ' s income is increased by rs . 400 when the rate to profit rises from 5 to 7 percent . find the capital of b ? \nOptions: a ) 3999 , b ) 7799 , c ) 2500 , d ) 5000 , e ) 2912", "output": [ "d" ] }, { "id": "task1420-ac03f99810394b968ec6e29cd4db50b5", "input": "Problem: what is the difference between the place values of two 1 ' s in the numeral 135.21 \nOptions: a ) 99.999 , b ) 100.2 , c ) 134 , d ) 99.99 , e ) 99.9", "output": [ "d" ] }, { "id": "task1420-da9214eae0ed4f0b8c631da5a99a1154", "input": "Problem: | x + 3 | – | 4 - x | = | 9 + x | how many solutions will this equation have ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4", "output": [ "b" ] }, { "id": "task1420-f107e69863fd4305b8c3ab732f50f3b1", "input": "Problem: a certain number when divided by 39 leaves a remainder 19 , what is the remainder when the same number is divided by 13 ? \nOptions: a ) 7 , b ) 8 , c ) 9 , d ) 6 , e ) 4", "output": [ "d" ] }, { "id": "task1420-ec9b0d6f588c443ea4ebffd9d6915c3d", "input": "Problem: how many integers between 324,700 and 387,600 have tens digit 1 and units digit 3 ? \nOptions: a ) 438 , b ) 629 , c ) 780 , d ) 879 , e ) 924", "output": [ "b" ] }, { "id": "task1420-01b3eb879ad741f49c6e3a109e0d6832", "input": "Problem: a mixture contains alcohol and water in the ratio 4 : 3 . if 5 liters of water is added to the mixture , the ratio becomes 4 : 5 . find the quantity of alcohol in the given mixture . \nOptions: a ) 10 , b ) 12 , c ) 15 , d ) 18 , e ) 20", "output": [ "a" ] }, { "id": "task1420-3ba9b46fb5e54e65ab8177b4b20b1d34", "input": "Problem: 8.008 / 2.002 \nOptions: a ) 0.004 , b ) 0.04 , c ) 4 , d ) 40 , e ) 400", "output": [ "c" ] }, { "id": "task1420-accedace85064571abd151e63024e630", "input": "Problem: approximately how many revolutions will be made by a car tire with a 15 - inch diameter if the car travels 1 ⁄ 2 mile ? \nOptions: a ) 669 , b ) 660 , c ) 360 , d ) 720 , e ) 1,440", "output": [ "a" ] }, { "id": "task1420-9ced6b56e1d04b97831231d72f92073b", "input": "Problem: the difference between the place values of 6 and 1 in the number 527631 is \nOptions: a ) 596 , b ) 587 , c ) 533 , d ) 568 , e ) 599", "output": [ "e" ] }, { "id": "task1420-5750bb81e0064892a03a8d35fd6a98ef", "input": "Problem: how many integerskgreater than 100 and less than 1200 are there such that if the hundreds and the units digits ofkare reversed , the resulting integer is k + 99 ? \nOptions: a ) 50 , b ) 60 , c ) 70 , d ) 80 , e ) 100", "output": [ "e" ] }, { "id": "task1420-7327544b78f44fc3addfb436340ed588", "input": "Problem: in the rectangular coordinate system , what is the x - intercept of a line passing through ( 10 , 3 ) and ( − 8 , − 6 ) ? \nOptions: a ) 4 , b ) 2 , c ) 0 , d ) − 2 , e ) − 4", "output": [ "a" ] }, { "id": "task1420-bd76986174664e638b35baea8bd0a630", "input": "Problem: 4.509 / 10.02 = \nOptions: a ) 0.45 , b ) 0.3505 , c ) 0.3509 , d ) 0.351 , e ) 0.3527", "output": [ "a" ] }, { "id": "task1420-79a8105837d44c1dae79bf383af09c39", "input": "Problem: a batsman scored 120 runs which included 5 boundaries and 8 sixes . what % of his total score did he make by running between the wickets \nOptions: a ) 43.33 % , b ) 50 % , c ) 65 % , d ) 70 % , e ) 75 %", "output": [ "a" ] }, { "id": "task1420-f2986c1911bd4f1aa8e01bd9fac79747", "input": "Problem: a card game called “ high - low ” divides a deck of 52 playing cards into 2 types , “ high ” cards and “ low ” cards . there are an equal number of “ high ” cards and “ low ” cards in the deck and “ high ” cards are worth 2 points , while “ low ” cards are worth 1 point . if you draw cards one at a time , how many ways can you draw “ high ” and “ low ” cards to earn 7 points if you must draw exactly 5 “ low ” cards ? \nOptions: a ) 6 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "a" ] }, { "id": "task1420-8b13db16eca442559c4bb872e3b0e142", "input": "Problem: a certain lab experiments with white and brown mice only . in one experiment , 2 / 3 of the mice are white . if there are 9 brown mice in the experiment , how many mice in total are in the experiment ? \nOptions: a ) 39 , b ) 33 , c ) 27 , d ) 21 , e ) 10", "output": [ "c" ] }, { "id": "task1420-19ea8845a8174d209ae4de30d8b1815e", "input": "Problem: in the coordinate plane , points ( x , 5 ) and ( 9 , y ) are on line k . if line k passes through the origin and has slope 5 / 9 , then x - y = \nOptions: a ) 4 , b ) 6 , c ) 5 , d ) 8 , e ) 7", "output": [ "a" ] }, { "id": "task1420-9c186e22a2884345b783ed39873c7374", "input": "Problem: a house wife saved $ 3.50 in buying an item on sale . if she spent $ 32.50 for the item , approximately how much percent she saved in the transaction ? \nOptions: a ) 8 % , b ) 9 % , c ) 10 % , d ) 11 % , e ) 12 %", "output": [ "c" ] }, { "id": "task1420-044f3ee469ef45e383a0d2b4562b30e3", "input": "Problem: a & b started a partnership business . a ' s investment was thrice the investment of b and the period of his investment was two times the period of investments of b . if b received rs 4500 as profit , what is their total profit ? \nOptions: a ) 28000 , b ) 30000 , c ) 31500 , d ) 34000 , e ) none of these", "output": [ "c" ] }, { "id": "task1420-8e36e5ebf46e4a8da1f890f04a44804f", "input": "Problem: real - estate salesman z is selling a house at a 20 percent discount from its retail price . real - estate salesman x vows to match this price , and then offers an additional 20 percent discount . real - estate salesman y decides to average the prices of salesmen z and x , then offer an additional 20 percent discount . salesman y ' s final price is what fraction of salesman x ' s final price ? \nOptions: a ) 29 / 32 , b ) 28 / 31 , c ) 30 / 31 , d ) 40 / 41 , e ) 34 / 15", "output": [ "a" ] }, { "id": "task1420-0745b154f76f4a4eb6db71c7cae5dd16", "input": "Problem: evaluate : 2344 - 12 * 3 * 2 = ? \nOptions: a ) 2337 , b ) 1227 , c ) 3327 , d ) 5457 , e ) 7677", "output": [ "a" ] }, { "id": "task1420-cf5f41f436c047ad80ce6e3423969454", "input": "Problem: if pintu is coded as 79523 in a certain code language , how would you code dumbo in the same language ? \nOptions: a ) 43426 , b ) 14236 , c ) 13436 , d ) 14263 , e ) 15263", "output": [ "a" ] }, { "id": "task1420-3d647fafc0c94b8883cc1834fc8203b3", "input": "Problem: what is the smallest no . which must be added to 532869 so as to obtain a sum which is divisible by 9 ? \nOptions: a ) 9 , b ) 2 , c ) 1 , d ) 3 , e ) 6", "output": [ "d" ] }, { "id": "task1420-a0ec60c00a50442e9591de5336dbf232", "input": "Problem: if 42.12 = k ( 14 + m / 50 ) , where k and m are positive integers and m < 50 , then what is the value of k + m ? \nOptions: a ) 5 , b ) 7 , c ) 8 , d ) 9 , e ) 10", "output": [ "a" ] }, { "id": "task1420-f241b49c7bab4e0d88855ba9622b888c", "input": "Problem: you and your friend spent a total of $ 15 for lunch . your friend spent $ 5 more than you . how much did your friend spend on their lunch ? \nOptions: a ) $ 9 , b ) $ 3 , c ) $ 4 , d ) $ 6 , e ) $ 10", "output": [ "e" ] }, { "id": "task1420-c41d010e8f514e998ebd75852b908fd2", "input": "Problem: jill has 35 gallons of water stored in quart , half - gallon , and one gallon jars . she has equal numbers of each size jar holding the liquid . what is the total number of water filled jars ? \nOptions: a ) 3 , b ) 60 , c ) 9 , d ) 12 , e ) 14", "output": [ "b" ] }, { "id": "task1420-5d98329ada9f4bc991b0a43a9a5898e1", "input": "Problem: in smithtown , the ratio of right - handed people to left - handed people is 3 to 1 and the ratio of men to women is 3 to 2 . if the number of right - handed men is maximized , then what x percent of all the people in smithtown are left - handed women ? \nOptions: a ) 50 % , b ) 40 % , c ) 25 % , d ) 20 % , e ) 10 %", "output": [ "c" ] }, { "id": "task1420-90cec6b8c4794edb98d14d12b42917dc", "input": "Problem: evaluate combination 98 c 96 = 98 ! / ( 96 ) ! ( 2 ) ! \nOptions: a ) 1617 , b ) 4753 , c ) 1417 , d ) 4353 , e ) none of these", "output": [ "b" ] }, { "id": "task1420-4d2bbd0dae644cd1bb388a3af2a47d6a", "input": "Problem: in a forest 150 deer were caught , tagged with electronic markers , then released . a week later , 50 deer were captured in the same forest . of these 50 deer , it was found that 20 had been tagged with the electronic markers . if the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest , and if no deer had either left or entered the forest over the preceding week , what is the approximate number of deer in the forest ? \nOptions: a ) 150 , b ) 6,000 , c ) 1,250 , d ) 1,500 , e ) 2,500", "output": [ "b" ] }, { "id": "task1420-b7fa53b7df6349c9a9f09b4eabc6c4f0", "input": "Problem: if the median of a list of numbers is m , the first quartile of the list is the median of the numbers in the list that are less than m . what is the first quartile of the list of numbers 42 , 24 , 30 , 34 , 26 , 36 , 33 and 35 ? \nOptions: a ) 33 , b ) 28 , c ) 27 , d ) 24 , e ) 23", "output": [ "b" ] }, { "id": "task1420-da1fe1fba74e49059cec2c7ab2724228", "input": "Problem: an amount at compound interest sums to rs . 17640 / - in 2 years and to rs . 22050 / - in 3 years at the same rate of interest . find the rate percentage ? \nOptions: a ) 5 % , b ) 7 % , c ) 9 % , d ) 11 % , e ) 25 %", "output": [ "e" ] }, { "id": "task1420-fbfc28d02b184ff89bad32ffe1105b86", "input": "Problem: a university cafeteria offers 4 flavors of pizza - pepperoni , chicken , hawaiian and vegetarian . if a customer has an option ( but not the obligation ) to add extra cheese , mushrooms or both to any kind of pizza , how many different pizza varieties are available ? \nOptions: a ) 4 , b ) 8 , c ) 12 , d ) 16 , e ) 32", "output": [ "d" ] }, { "id": "task1420-cd6e7b6b6a5f4e1789abbb10cf3e6239", "input": "Problem: if the average of 12 x and 8 y is greater than 200 , and x is twice y , what is the least integer value of x ? \nOptions: a ) 20 , b ) 30 , c ) 40 , d ) 25 , e ) 35", "output": [ "d" ] }, { "id": "task1420-1f744b27254e46f5b45f17ee2534336a", "input": "Problem: if 2 ^ 5 , 3 ^ 3 , and 14 ^ 2 are all factors of the product of 936 and w where w is a positive integer , what is the smallest possible value of w ? \nOptions: a ) 26 , b ) 39 , c ) 42 , d ) 65 , e ) 168", "output": [ "e" ] }, { "id": "task1420-9cd9a0990b214a4cbd009a0bd9021a1a", "input": "Problem: if a is a positive integer , and if the units digit of a ^ 2 is 9 and the units digit of ( a + 1 ) ^ 2 is 4 , what is the units x digit of ( a + 2 ) ^ 2 ? \nOptions: a ) 1 , b ) 3 , c ) 5 , d ) 6 , e ) c . 14", "output": [ "a" ] }, { "id": "task1420-1e11a3869ba34b2daaeb5577361ba6df", "input": "Problem: a strain of bacteria reproduces @ 25 % every 12 min . in how much time will it triple itself ? ? \nOptions: a ) 96 min , b ) 72 min , c ) 60 min , d ) 48 min , e ) 40 min", "output": [ "c" ] }, { "id": "task1420-2984cbd7b18c49148c34e09a3ab2598c", "input": "Problem: how many 4 - digit numbers that do not contain the digits 2 , 3 , 4 , 5 , 6 , or 7 are there ? \nOptions: a ) 168 , b ) 176 , c ) 184 , d ) 192 , e ) 200", "output": [ "d" ] }, { "id": "task1420-df36da1f371640b886a66b940f333acf", "input": "Problem: an amount at compound interest sums to rs . 17640 / - in 2 years and to rs . 18522 / - in 3 years at the same rate of interest . find the rate percentage ? \nOptions: a ) 5 % , b ) 6 % , c ) 7 % , d ) 8 % , e ) 9 %", "output": [ "a" ] }, { "id": "task1420-05b10e6f17424596beb6f3150deb439b", "input": "Problem: a sum of rs . 427 is to be divided among a , b and c in such a way that 3 times a ’ s share , 4 times b ’ s share and 7 times c ’ s share are all equal . the share of c is ? \nOptions: a ) 23 , b ) 87 , c ) 84 , d ) 26 , e ) 19", "output": [ "c" ] }, { "id": "task1420-1fc9dbc09f91400fab4673ea5c4023a0", "input": "Problem: solve the equation 2 – x = 2 b – 2 ax , where a and b are real parameters . find for which values of a the equation has for solution a natural number , if b = 7 \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4", "output": [ "b" ] }, { "id": "task1420-c9a0e60d73854f2b8b7b3c99efab2d17", "input": "Problem: a no . when divided by 221 gives a remainder 43 , what remainder will beobtained by dividing the same number 19 ? \nOptions: a ) 3 , b ) 6 , c ) 9 , d ) 11 , e ) 15", "output": [ "c" ] }, { "id": "task1420-36f0e39afd2a49dcbaffa701795ea469", "input": "Problem: according to the directions on a can of frozen orange juice concentrate , 1 can of concentrate is to be mixed with 4 cans of water to make orange juice . how many 12 ounce cans of concentrate are required to prepare 120 6 - ounce servings of orange juice ? \nOptions: a ) 10 , b ) 12 , c ) 14 , d ) 16 , e ) 18", "output": [ "b" ] }, { "id": "task1420-67dd3726546a494b9bd4751fc27f6ed5", "input": "Problem: in a group of 800 people , 1 / 5 play at least one instrument , 32 play two or more . what is the probability that one student play exactly one instrument ? \nOptions: a ) 2 / 125 , b ) 4 / 25 , c ) c ) 2 / 25 , d ) 3 / 25 , e ) 1 / 5", "output": [ "b" ] }, { "id": "task1420-55753730a0ce440ca57bd7d3c194455c", "input": "Problem: if ( 10 ^ 4 * 3.456789 ) ^ 11 is written as a single term , how many digits would be to the right of the decimal place ? \nOptions: a ) 12 , b ) 18 , c ) 22 , d ) 28 , e ) 36", "output": [ "c" ] }, { "id": "task1420-2e595d5fadd94413ae9d9076fb609776", "input": "Problem: if 15 students in a class average 80 % on an english exam and 10 students average 90 % on the same exam , what is the average in percent for all 25 students ? \nOptions: a ) 83 % , b ) 83 1 ⁄ 2 % , c ) 84 % , d ) 85 % , e ) 86 2 ⁄ 3 %", "output": [ "c" ] }, { "id": "task1420-b48d6b649b3a4f13a506574e172ca742", "input": "Problem: what is the sum between the place values of two 3 ' s in the numeral 63130 \nOptions: a ) 3111 , b ) 300 , c ) 3029 , d ) 3030 , e ) 3003", "output": [ "d" ] }, { "id": "task1420-f619a247da844f188b759181552db764", "input": "Problem: the average salary of all the workers in a workshop is rs . 8000 . the average salary of 7 technicians is rs . 12000 and the average salary of the rest is rs . 6000 . the total number of workers in the workshop is \nOptions: a ) 20 , b ) 21 , c ) 22 , d ) 23 , e ) 24", "output": [ "b" ] }, { "id": "task1420-489ba4089aba47159f8fabb2bfa211bb", "input": "Problem: when n is divided by 24 , the remainder is 4 . what is the remainder when 4 n is divided by 8 ? \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 0 , e ) 7", "output": [ "d" ] }, { "id": "task1420-5475871b0a1945a196899661326d9439", "input": "Problem: the average age of 25 students in a class is 12 years . if teacher ' s age is also included then average increases 1 year then find the teacher ' s age ? \nOptions: a ) 40 , b ) 35 , c ) 29 , d ) 38 , e ) 42", "output": [ "d" ] }, { "id": "task1420-e30f5e64fe3f47d6b5eb3e4fd7ef4252", "input": "Problem: 0.012 x 0.5 = ? \nOptions: a ) 0.0006 , b ) 0.06 , c ) 0.6 , d ) 0.006 , e ) 6.0", "output": [ "d" ] }, { "id": "task1420-3af953b0ecd74740b0eb8ebaa3badf60", "input": "Problem: for each 6 - month period during a light bulb ' s life span , the odds of it not burning out from over - use are half what they were in the previous 6 - month period . if the odds of a light bulb burning out during the first 6 - month period following its purchase are 1 / 5 , what are the odds of it burning out during the period from 6 months to 1 year following its purchase ? \nOptions: a ) 5 / 27 , b ) 2 / 9 , c ) 1 / 2 , d ) 4 / 9 , e ) 2 / 3", "output": [ "c" ] }, { "id": "task1420-92d3ca50cbb74cfc8857f47d9e0d8573", "input": "Problem: a father said his son , ` ` i was as old as you are at present at the time of your birth . ` ` if the father age is 38 now , the son age 5 years back was : \nOptions: a ) 14 , b ) 19 , c ) 33 , d ) 38 , e ) 56", "output": [ "a" ] }, { "id": "task1420-29462632184b4da793b02168b0595a15", "input": "Problem: 653 ã — 1001 = ? \nOptions: a ) 649011 , b ) 540041 , c ) 654321 , d ) 653001 , e ) 643001", "output": [ "d" ] }, { "id": "task1420-76505705c7164a3facf0568282c3d00f", "input": "Problem: a case contains c cartons . each carton contains b boxes , and each box contains 200 paper clips . how many paper clips are contained in 2 cases ? \nOptions: a ) 200 bc , b ) 200 b / c , c ) 400 bc , d ) 400 b / c , e ) 400 / bc", "output": [ "c" ] }, { "id": "task1420-42fe51dcd99e4029aa1be2ceef147e75", "input": "Problem: patrick purchased 60 pencils and sold them at a loss equal to the selling price of 20 pencils . the cost of 60 pencils is how many times the selling price of 60 pencils ? \nOptions: a ) 0.75 , b ) 0.8 , c ) 1 , d ) 1.33 , e ) 1.75", "output": [ "d" ] }, { "id": "task1420-b131c438a7814439bf87ca68c2f48959", "input": "Problem: 108 ã — 108 + 92 ã — 92 = ? \nOptions: a ) 20120 , b ) 11500 , c ) 20128 , d ) 20660 , e ) 20228", "output": [ "c" ] }, { "id": "task1420-308353c2689f408491e2823d7b85584e", "input": "Problem: a furniture store owner decided to drop the price of her recliners by 20 % to spur business . by the end of the week she had sold 50 % more recliners . what is the percentage increase of the gross ? \nOptions: a ) 10 % , b ) 15 % , c ) 20 % , d ) 25 % , e ) 50 %", "output": [ "c" ] }, { "id": "task1420-a48896d5065c4ec386572a88707722bf", "input": "Problem: what is the total number of positive integers that are less than 500 and that have no positive factor in common with 500 other than 1 ? \nOptions: a ) 50 , b ) 100 , c ) 200 , d ) 300 , e ) 400", "output": [ "c" ] }, { "id": "task1420-19f51baf5eec4982a082d1d0506cee90", "input": "Problem: to be considered for “ movie of the year , ” a film must appear in at least 1 / 4 of the top - 10 - movies lists submitted by the cinematic academy ’ s 795 members . what is the smallest number of top - 10 lists a film can appear on and still be considered for “ movie of the year ” ? \nOptions: a ) 191 , b ) 199 , c ) 193 , d ) 212 , e ) 213", "output": [ "b" ] }, { "id": "task1420-d505935fd10d452183818101ea6d3bae", "input": "Problem: sandy gets 3 marks for each correct sum and loses 2 marks for each incorrect sum . sandy attempts 30 sums and obtains 45 marks . how many sums did sandy get correct ? \nOptions: a ) 18 , b ) 21 , c ) 24 , d ) 27 , e ) 28", "output": [ "b" ] }, { "id": "task1420-0a86fc86a31f481d983ee04d5200da5c", "input": "Problem: robert left from a pvt company . management hold his salary rs . 15000 / - for one month . earlier robert earned a performance incentive rs . 7280 / - from company . but robert forgot that . after one month robert asked his salary and accountant gives rs . 18500 / - to him . what is the bonus amount given to robert ? \nOptions: a ) a ) 9500 , b ) b ) 12500 , c ) c ) 10780 , d ) d ) 10500 , e ) e ) 8600", "output": [ "c" ] }, { "id": "task1420-6babc3f9494c4a9ba4327536b9ee509d", "input": "Problem: x varies inversely as square of y . given that y = 3 for x = 1 . the value of x for y = 7 will be equal to : \nOptions: a ) 3 , b ) 6 , c ) 1 / 9 , d ) 1 / 3 , e ) 9 / 49", "output": [ "e" ] }, { "id": "task1420-75b4fad2b94a4078a34c296e8f93c4f1", "input": "Problem: oil cans x and y are right circular cylinders and the height and radius of y are each 5 times those of x . if the oil in can x filled to capacity sells for $ 1 , how much does the oil in y sell for if y is only 1 / 5 th filled ? \nOptions: a ) $ 25 , b ) $ 26 , c ) $ 27 , d ) $ 28 , e ) $ 30", "output": [ "a" ] }, { "id": "task1420-982e5aa9e4ab4bebaec0a628bbd4819d", "input": "Problem: the sum of all the integers k such that – 21 < k < 24 is \nOptions: a ) 0 , b ) - 2 , c ) - 25 , d ) - 39 , e ) - 51", "output": [ "d" ] }, { "id": "task1420-3e74963f031a4735927b45078879a0e2", "input": "Problem: what least number should be added to 1056 , so that the sum is completely divisible by 23 \nOptions: a ) 4 , b ) 1 , c ) 2 , d ) 3 , e ) 5", "output": [ "c" ] }, { "id": "task1420-90dfcf53cebb40bd89a187d1d62e50e8", "input": "Problem: if the average ( arithmetic mean ) of ( 2 a + 16 ) and ( 3 a - 8 ) is 89 , what is the value of a ? \nOptions: a ) 25 , b ) 30 , c ) 28 , d ) 34 , e ) 42", "output": [ "d" ] }, { "id": "task1420-9521b4a1447646a79d43d9ec2355761b", "input": "Problem: a team of 8 persons joins in a shooting competition . the best marksman scored 85 points . if he had scored 92 points , the average score for the team would have been 84 . the number of points , the team scored was \nOptions: a ) 665 , b ) 127 , c ) 272 , d ) 287 , e ) 227", "output": [ "a" ] }, { "id": "task1420-7f244b43fecf48949c0168256618c33c", "input": "Problem: if the sum of two numbers is 45 and the h . c . f and l . c . m of these numbers are 3 and 100 respectively , then the sum of the reciprocal of the numbers is equal to : \nOptions: a ) 103 / 300 , b ) 103 / 200 , c ) 112 / 300 , d ) 154 / 140 , e ) 100 / 300", "output": [ "a" ] }, { "id": "task1420-e913e8ea50b741c78b3da9a1181c39bf", "input": "Problem: in a group of ducks and cows , the total number of legs are 24 more than twice the no . of heads . find the total no . of buffaloes . \nOptions: a ) 10 , b ) 12 , c ) 14 , d ) 16 , e ) 19", "output": [ "b" ] }, { "id": "task1420-541583600f66498797e79765c0f2232c", "input": "Problem: bottle r contains 250 capsules and costs $ 8.25 . bottle t contains 130 capsules and costs $ 2.99 . what is the difference between the cost per capsule for bottle r and the cost per capsule for bottle t ? \nOptions: a ) $ 0.25 , b ) $ 0.01 , c ) $ 0.05 , d ) $ 0.03 , e ) $ 0.002", "output": [ "b" ] }, { "id": "task1420-3ba3b0c943524fa49266ea71172da28c", "input": "Problem: the average of first five multiples of 2 is ? \nOptions: a ) 6 , b ) 8 , c ) 9 , d ) 5 , e ) 7", "output": [ "a" ] }, { "id": "task1420-93775a88af354bfb8ede11999946b8dc", "input": "Problem: of the five - digit positive integers that have no digits equal to zero , how many have two digits that are equal to each other and the remaining digit different from the other two ? \nOptions: a ) 24440 , b ) 36440 , c ) 72440 , d ) 181440 , e ) 216440", "output": [ "d" ] }, { "id": "task1420-0777a0d400bf45159523944a87024f5b", "input": "Problem: at deluxe paint store , fuchsia paint is made by mixing 5 parts of red paint with 3 parts of blue paint . mauve paint is made by mixing 3 parts of red paint with 5 parts blue paint . how many liters of blue paint must be added to 24 liters of fuchsia to change it to mauve paint ? \nOptions: a ) 9 , b ) 12 , c ) 15 , d ) 16 , e ) 18", "output": [ "d" ] }, { "id": "task1420-124dc160c2c844759754a42a04d60649", "input": "Problem: in the youth summer village there are 175 people , 100 of them are not working , 75 of them have families and 125 of them like to sing in the shower . what is the largest possible number of people in the village , which are working , that do n ' t have families and that are singing in the shower ? \nOptions: a ) 70 , b ) 75 , c ) 85 , d ) 80 , e ) 100", "output": [ "b" ] }, { "id": "task1420-4be45d64414148eeae2d4f51f54f679a", "input": "Problem: 35 % of major airline companies equip their planes with wireless internet access . 70 % of major airlines offer passengers free on - board snacks . what is the greatest possible percentage of major airline companies that offer both wireless internet and free on - board snacks ? \nOptions: a ) 25 % , b ) 35 % , c ) 45 % , d ) 55 % , e ) 65 %", "output": [ "b" ] }, { "id": "task1420-265be7b757da4f789d78d63fd634ca84", "input": "Problem: what number should replace the question mark ? 11 , 15 , 16 , 12 , 21 , 9 , - - - ? \nOptions: a ) 21 , b ) 29 , c ) 28 , d ) 27 , e ) 26", "output": [ "e" ] }, { "id": "task1420-de0b491ac06a4f3bb0b3c62137d56542", "input": "Problem: find the average of all prime numbers between 10 and 30 . \nOptions: a ) 30 , b ) 33.6 , c ) 39.8 , d ) 18.6 , e ) none", "output": [ "d" ] }, { "id": "task1420-d60d14183adb43a99b6dba7c26d414a3", "input": "Problem: if x and y are integers and 2 x – y = 11 , then 4 x + y can not be \nOptions: a ) – 5 , b ) 1 , c ) 13 , d ) 17 , e ) 55", "output": [ "d" ] }, { "id": "task1420-96dcd7131c3945d1a628146ea4c4d013", "input": "Problem: g ( a ) is defined as the product of all even integers k such that 0 < k ≤ x . for example , g ( 14 ) = 2 × 4 × 6 × 8 × 10 × 12 × 14 . if g ( y ) is divisible by 4 ^ 11 , what is the smallest possible value for a ? \nOptions: a ) 22 , b ) 24 , c ) 28 , d ) 32 , e ) 44", "output": [ "b" ] }, { "id": "task1420-c3c068188e034b18bb9c497087502583", "input": "Problem: a certain city with a population of 120,000 is to be divided into 11 voting districts , and no district is to have a population that is more than 10 percent greater than the population of any other district what is the minimum possible population that the least populated district could have ? \nOptions: a ) a ) 10,700 , b ) b ) 10,000 , c ) c ) 10,900 , d ) d ) 11,000 , e ) e ) 11,100", "output": [ "b" ] }, { "id": "task1420-6dd3ec89acf1438dbf09677baa49e398", "input": "Problem: the mean of 40 observations was 36 . it was found later that an observation 34 was wrongly taken as 20 . the corrected new mean is \nOptions: a ) 76.55 , b ) 36.35 , c ) 46.15 , d ) 16.05 , e ) 20", "output": [ "b" ] }, { "id": "task1420-6d73104ae16c416d9d1a57804cedaa95", "input": "Problem: bill downloads the movierevenge of the avengersto his computer in 2.5 hours , using a download manager that downloads from 3 sources marked a , b and c . each source provides download at a constant rate , but the rates of different sources are not necessarily identical . if the movie was downloaded from sources a and c alone , it would take 4 hours to complete the download . the next day , source b is available , but the other sources are inactive . how long will it take to download the trailer of the movie , a file that is 10 times smaller , from source b alone ? \nOptions: a ) 40 minutes , b ) 15 minutes , c ) 12 minutes , d ) 10 minutes , e ) 3 minutes", "output": [ "a" ] }, { "id": "task1420-63a2aca4ebc44704ade12f10eebd66a7", "input": "Problem: the cricket team of 11 members is 26 yrs old & the wicket keeper is 3 yrs older . if the ages ofthese 2 are excluded , the average age of the remainingplayers is 1 year less than the average age of the whole team . what is the average age of the team ? \nOptions: a ) 18 , b ) 21 , c ) 23 , d ) 25 , e ) 27", "output": [ "c" ] }, { "id": "task1420-255ec36b5c9442a6b529b5a50bdc2d85", "input": "Problem: 15.06 * 0.0001 = ? \nOptions: a ) 15060000 , b ) 0.001506 , c ) 0.01506 , d ) 0.1506 , e ) none of these", "output": [ "b" ] }, { "id": "task1420-7b281fe34beb4a5bb39966198e858925", "input": "Problem: in a basketball game , dhoni scored 30 points more than dravid , but only half as many points as shewag . if the 3 players scored a combined total of 150 points , how many points did dhoni score ? \nOptions: a ) 50 , b ) 52 , c ) 35 , d ) 40 , e ) 45", "output": [ "e" ] }, { "id": "task1420-6945d26592fe47d38b24b4093e7e4dd1", "input": "Problem: what is the smallest positive integer x such that 180 - x is the cube of a positive integer \nOptions: a ) 50 , b ) 52 , c ) 60 , d ) 55 , e ) 12", "output": [ "d" ] }, { "id": "task1420-1e593344ef8e48fab4d5e9cc99eb380e", "input": "Problem: a batch of cookies was divided amomg 3 tins : 3 / 4 of all the cookies were placed in either the blue or the green tin , and the rest were placed in the red tin . if 1 / 4 of all the cookies were placed in the blue tin , what fraction of the cookies that were placed in the other tins were placed in the green tin \nOptions: a ) 15 / 2 , b ) 9 / 4 , c ) 5 / 9 , d ) 3 / 5 , e ) 9 / 7", "output": [ "d" ] }, { "id": "task1420-fdf2eeba4cc3486f86aa6258301399cc", "input": "Problem: a man has rs . 10350 in the form of rs . 50 notes and rs . 500 notes . the total number of notes are 126 . find the number of notes of rs . 50 denomination . \nOptions: a ) 115 , b ) 121 , c ) 117 , d ) 119 , e ) 121", "output": [ "c" ] }, { "id": "task1420-3ef25b80d44344378af228ff3301ed4f", "input": "Problem: when positive integer n is divided by positive integer j , the remainder is 15 . if n / j = 134.08 , what is value of j ? \nOptions: a ) 22 , b ) 56 , c ) 78 , d ) 112 , e ) 187.5", "output": [ "e" ] }, { "id": "task1420-daf666c7c8fa44f290c60f36b6f0dff6", "input": "Problem: if n divided by 9 has a remainder of 8 , what is the remainder when 2 times n is divided by 9 ? \nOptions: a ) 1 , b ) 7 , c ) 3 , d ) 5 , e ) 6", "output": [ "b" ] }, { "id": "task1420-9923f6a4f67646198a174e71514e7932", "input": "Problem: a 6 - liter solution is 40 % alcohol . how many liters of pure alcohol must be added to produce a solution that is 50 % alcohol ? \nOptions: a ) 1.2 , b ) 1.5 , c ) 1.8 , d ) 2.1 , e ) 2.4", "output": [ "a" ] }, { "id": "task1420-cbd32522f13d4e83a43dd79d7bec6425", "input": "Problem: if the sum of the first n positive integers is s , what is the sum of the first n positive integers divisible by 4 , in terms of s ? \nOptions: a ) s / 2 , b ) s , c ) 2 s , d ) 2 s + 2 , e ) 4 s", "output": [ "e" ] }, { "id": "task1420-58d171eb45aa4d65aa828bea59e4f58c", "input": "Problem: a dishonest dealer claims to sell a product at its cost price . he uses a counterfeit weight which is 20 % less than the real weight . further greed overtook him and he added 35 % impurities to the product . find the net profit percentage of the dealer ? \nOptions: a ) 44 % , b ) 40 % , c ) 68.75 % , d ) 56.25 % , e ) 36 %", "output": [ "c" ] }, { "id": "task1420-71d5659badc5417689200455b24a54c8", "input": "Problem: boys and girls in a class are writing letters . there are twice as many girls as boys in the class , and each girl writes 3 more letters than each boy . if boys write 24 of the 90 total letters written by the class , how many letters does each boy write ? \nOptions: a ) 3 , b ) 4 , c ) 6 , d ) 8 , e ) 12", "output": [ "d" ] }, { "id": "task1420-28591cd0acad4fa4a3c38b05c07f5282", "input": "Problem: in country x a returning tourist may import goods with a total value of $ 500 or less tax free , but must pay an 8 percent tax on the portion of the total value in excess of $ 500 . what tax must be paid by a returning tourist who imports goods with a total value of $ 730 ? \nOptions: a ) $ 58.40 , b ) $ 40 . 00 , c ) $ 24.60 , d ) $ 18.40 , e ) $ 16.00", "output": [ "d" ] }, { "id": "task1420-3af8f87bf6884138834fc1f19d1f9ff1", "input": "Problem: a batsman in his 17 th innings makes a score of 80 and their by increasing his average by 3 . what is his average after the 17 thinnings ? \nOptions: a ) 28 , b ) 29 , c ) 30 , d ) 31 , e ) 32", "output": [ "c" ] }, { "id": "task1420-615d29f94b974405b528feb81933a8a2", "input": "Problem: an engineer designed a ball so that when it was dropped , it rose with each bounce exactly one - half as high as it had fallen . the engineer dropped the ball from a 16 - meter platform and caught it after it had traveled 46 meters . how many times did the ball bounce ? \nOptions: a ) 4 , b ) 6 , c ) 7 , d ) 8 , e ) 9", "output": [ "a" ] }, { "id": "task1420-79bc0025646844c5b19e156a5bf76c63", "input": "Problem: a certain drink of type a is prepared by mixing 4 parts milk with 3 parts fruit juice . another drink of type b is prepared by mixing 4 parts of fruit juice and 3 parts of milk . how many liters of fruit juice must be added to 84 liters of drink a to convert it to drink b ? \nOptions: a ) 24 , b ) 28 , c ) 32 , d ) 36 , e ) 40", "output": [ "b" ] }, { "id": "task1420-bda9a6a007224d8faff060830c1afa9b", "input": "Problem: when 52416 is divided by 312 , the quotient is 168 . what will be the quotient when 52.416 is divided by 0.000168 ? \nOptions: a ) 5 , b ) 6 , c ) 4 , d ) 3 , e ) 8", "output": [ "e" ] }, { "id": "task1420-c47fb9e0453c47688b96c0145cade6b8", "input": "Problem: in a class of 27 students in an examination in maths 5 students scored 95 marks each , 3 get zero each and the average of the rest was 45 . what is the average of the whole class ? \nOptions: a ) a ) 47 , b ) b ) 45.6 , c ) c ) 44 , d ) d ) 48 , e ) e ) 49.3", "output": [ "e" ] }, { "id": "task1420-6e5cb259a40940fc8a99b359d2a87054", "input": "Problem: for how many integer values of n will the value of the expression 4 n + 7 be an integer greater than 1 and less than 120 ? \nOptions: a ) 22 , b ) 24 , c ) 26 , d ) 28 , e ) 30", "output": [ "e" ] }, { "id": "task1420-cd35dc49ca40436db97536ee0fe39362", "input": "Problem: if x is 11 percent greater than 90 , then x = \nOptions: a ) 99.9 , b ) 91.0 , c ) 88.0 , d ) 70.9 , e ) 71.2", "output": [ "a" ] }, { "id": "task1420-e574891bd5774d3f8f18c4f2f65f106d", "input": "Problem: each of the positive integers a , b , and c is a 3 - digit integer . if each of the digits 1 through 9 appears in one of these 3 integers , what is the maximum possible value of the sum of a , b , and c ? \nOptions: a ) 2445 , b ) 2331 , c ) 2874 , d ) 2801 , e ) 2256", "output": [ "e" ] }, { "id": "task1420-dfc22fd79b9c4134ac0c2aebcbabaf00", "input": "Problem: a luxury liner , queen marry ii , is transporting several cats as well as the crew ( sailors , a cook , and one - legged captain ) to a nearby port . altogether , these passengers have 14 heads and 41 legs . how many cats does the ship host ? \nOptions: a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 9", "output": [ "c" ] }, { "id": "task1420-4c72e9b7de1548c8aa45da000ee748c9", "input": "Problem: { - 10 , - 6 , - 5 , - 4 , - 2.5 , - 1 , 0 , 2.5 , 4 , 6 , 7 , 10 } a number is to be selected at random from the set above . what is the probability that the number will be a solution to the equation ( x 3 ) ( x + 14 ) ( 2 x + 5 ) = 0 ? \nOptions: a ) 1 / 12 , b ) 1 / 6 , c ) 1 / 4 , d ) 1 / 3 , e ) 1 / 2", "output": [ "a" ] }, { "id": "task1420-b1a06337ce9e44e9ba9bc53fb22d2674", "input": "Problem: the sum of the present age of henry and jill is 43 . what is their present ages if 5 years ago henry was twice the age of jill ? \nOptions: a ) and 27 , b ) and 24 , c ) and 22 , d ) and 29 , e ) of these", "output": [ "a" ] }, { "id": "task1420-6cdf941f62d14fabbfb7af9b6ccec3eb", "input": "Problem: ( 0.15 ) ( power 3 ) - ( 0.1 ) ( power 3 ) / ( 0.15 ) ( power 2 ) + 0.015 + ( 0.1 ) ( power 2 ) is : \nOptions: a ) 0.68 , b ) 0.08 , c ) 0.05 , d ) 0.06 , e ) none of them", "output": [ "c" ] }, { "id": "task1420-9f566b81fd794e20a821d49dd19faece", "input": "Problem: the sum of ages of 5 children born at the intervals of 2 years each is 55 years . what is the age of the youngest child ? \nOptions: a ) 4 , b ) 7 , c ) 6 , d ) 9 , e ) 8", "output": [ "b" ] }, { "id": "task1420-5a28bf143fa541408a3120e8851f63f9", "input": "Problem: what is the least value of x . so that 1894 x is divisible by 3 ? \nOptions: a ) 2 , b ) 5 , c ) 1 , d ) 6 , e ) 7", "output": [ "a" ] }, { "id": "task1420-c56572bf712c4b0486858721f6ec6534", "input": "Problem: the total of the ages of amar , akbar and anthony is 66 years . what was the total of their ages 4 years ago ? \nOptions: a ) 71 , b ) 44 , c ) 54 , d ) 16 , e ) 18", "output": [ "c" ] }, { "id": "task1420-4e66b3aa7adc4d879cffc7e739892e54", "input": "Problem: how many even number in the range between 10 to 150 inclusive are not divisible by 3 \nOptions: a ) 15 , b ) 30 , c ) 31 , d ) 33 , e ) 47", "output": [ "e" ] }, { "id": "task1420-5f1ab43ef6bd4b3daaee5f417550ca12", "input": "Problem: find the least number must be subtracted from 62575 so that remaining number is divisible by 99 . \nOptions: a ) 93 , b ) 7 , c ) 54 , d ) 9 , e ) 6", "output": [ "b" ] }, { "id": "task1420-7beccbca845242f383d71314179f73cf", "input": "Problem: 8 people decided to split the restaurant bill evenly . if the bill was $ 214.15 dollars , how much money did they 1 cent is the smallest unit ? \nOptions: a ) $ 214.16 , b ) $ 214.17 , c ) $ 214.18 , d ) $ 214.19 , e ) $ 214.20", "output": [ "a" ] }, { "id": "task1420-5ffbf1f10e364a2eafa41a649fabb0d8", "input": "Problem: operation # is defined as : a # b = 4 a ^ 2 + 4 b ^ 2 + 8 ab for all non - negative integers . what is the value of ( a + b ) + 5 , when a # b = 100 ? \nOptions: a ) 5 , b ) 8 , c ) 10 , d ) 13 , e ) 17", "output": [ "c" ] }, { "id": "task1420-d1406fd3824e4ea7b13b2cf1074b9278", "input": "Problem: ? x 12 = 173 x 240 \nOptions: a ) 3460 , b ) 685 , c ) 865 , d ) 495 , e ) 534", "output": [ "a" ] }, { "id": "task1420-33cefd34f1134cf9a33a3e0bb72824ae", "input": "Problem: p , q and r have $ 4000 among themselves . r has two - thirds of the total amount with p and q . find the amount with r ? \nOptions: a ) 2400 , b ) 2403 , c ) 3998 , d ) 2539 , e ) 1600", "output": [ "e" ] }, { "id": "task1420-76836bdca5aa4ff5b0b6ed732e6abb4b", "input": "Problem: when 2 is added to half of one - third of one - fifth of a number , the result is one - fifteenth of the number . find the number ? \nOptions: a ) 40 , b ) 65 , c ) 73 , d ) 60 , e ) 80", "output": [ "d" ] }, { "id": "task1420-6a3e21a6a9c440d3b54a12aa17a63b71", "input": "Problem: a trained covered x km at 40 kmph and another 2 x km at 20 kmph . find the average speed of the train in covering the entire 7 x km . \nOptions: a ) 56 , b ) 18 , c ) 24 , d ) 19 , e ) 12", "output": [ "a" ] }, { "id": "task1420-7a75aa74b218454ea5d48506b2a7fb59", "input": "Problem: running at their respective constant rate , machine x takes 2 days longer to produce w widgets than machines y . at these rates , if the two machines together produce 5 w / 4 widgets in 3 days , how many days would it take machine x alone to produce 4 w widgets . \nOptions: a ) 4 , b ) 6 , c ) 8 , d ) 10 , e ) 24", "output": [ "e" ] }, { "id": "task1420-2f752c8bc0d64efa88d1ba4ac857db29", "input": "Problem: if a farmer sells 5 of his goats , his stock of feed will last for 4 more days than planned , but if he buys 10 more goats , he will run out of feed 3 days earlier than planned . if no goats are sold or bought , the farmer will be exactly on schedule . how many goats does the farmer have ? \nOptions: a ) 12 , b ) 20 , c ) 48 , d ) 55 , e ) 60", "output": [ "b" ] }, { "id": "task1420-ffe35abd69bc4c8581603c3f867e826e", "input": "Problem: if p ( a ) = 2 / 5 and p ( b ) = 2 / 5 , find p ( a n b ) if a and b are independent events . \nOptions: a ) 7 / 25 , b ) 4 / 25 , c ) 8 / 25 , d ) 2 / 13 , e ) 3 / 17", "output": [ "b" ] }, { "id": "task1420-e7ab6d32cc994a6f9f07dd4b48d702c7", "input": "Problem: the greatest number that exactly divided 105 , 1001 and 2436 is : \nOptions: a ) 3 , b ) 7 , c ) 11 , d ) 21 , e ) 24", "output": [ "b" ] }, { "id": "task1420-71ebe64b426440ef86dff9deaf1eecd4", "input": "Problem: country x imported approximately $ 1.44 billion of goods in 1996 . if country x imported $ 420 million of goods in the first two months of 1997 and continued to import goods at the same rate for the rest of the year , by how much would country xs 1997 imports exceed those of 1996 ? \nOptions: a ) $ 214 million , b ) $ 1120 million , c ) $ 1144 million , d ) $ 1240 million , e ) $ 1080 million", "output": [ "e" ] }, { "id": "task1420-e47921377124441d9bfb6042b05b1ed0", "input": "Problem: 324 ã · ? ã — 15 + 270 = 405 \nOptions: a ) 24 , b ) 25 , c ) 36 , d ) 39 , e ) 43", "output": [ "c" ] }, { "id": "task1420-fafbebb8d78547bbafa5febbc10bea88", "input": "Problem: given that x and y are events such that z ( x ) = 0.02 z ( y ) = 0.10 z ( xny ) = 0.10 z ( x | y ) = find z ( x | y ) and z ( x | y ) \nOptions: a ) 1 / 5 , b ) 1 / 6 , c ) 1 / 6 , d ) 1 / 4 , e ) 1 / 2", "output": [ "a" ] }, { "id": "task1420-8fe10fb1f0544226a4c4295da7b1d053", "input": "Problem: sum of 3 numbers 264 , if the first number be twice then second and third number be one third of the first , then the second number is \nOptions: a ) 70 , b ) 71 , c ) 72 , d ) 73 , e ) 74", "output": [ "c" ] }, { "id": "task1420-db6094358fa84c37a073a0d6f176fc99", "input": "Problem: a computer manufacturer produces a certain electronic component at a cost of $ 80 per component . shipping costs for delivering the components are $ 5 per unit . further , the manufacturer has costs of $ 16,500 a month related to the electronic component regardless of how many it produces . if the manufacturer produces and sells 150 components a month , what is the lowest price it can sell them for such that the costs do n ' t exceed the revenues ? \nOptions: a ) $ 28 , b ) $ 82 , c ) $ 110 , d ) $ 138 , e ) $ 195", "output": [ "e" ] }, { "id": "task1420-a713e3867e5446bb9f951759156558c6", "input": "Problem: bert left the house with n dollars . he spent 1 / 4 of this at the hardware store , then $ 7 at the dry cleaners , and then half of what was left at the grocery store . when he got home , he had $ 19 left in his pocket . what was the value of n ? \nOptions: a ) $ 36 , b ) $ 44 , c ) $ 52 , d ) $ 60 , e ) $ 68", "output": [ "a" ] }, { "id": "task1420-f57e43ae8afc47c0b420d05e6e86d6cd", "input": "Problem: a contest will consist of n questions , each of which is to be answered eithertrueorfalse . anyone who answers all n questions correctly will be a winner . what is the least value of n for which the probability is less than 1 / 100 that a person who randomly guesses the answer to each question will be a winner ? \nOptions: a ) 5 , b ) 10 , c ) 50 , d ) 100 , e ) 1000", "output": [ "c" ] }, { "id": "task1420-9ff76bc7b09d4091af9d4e61a0ef7050", "input": "Problem: the toll t , in dollars , for a truck using a certain bridge is given by the formula t = 1.50 + 1.50 ( x − 2 ) , where x is the number of axles on the truck . what is the toll for an 18 - wheel truck that has 2 wheels on its front axle and 4 wheels on each of its other axles ? \nOptions: a ) $ 2.50 , b ) $ 3.00 , c ) $ 3.50 , d ) $ 6.00 , e ) $ 5.00", "output": [ "d" ] }, { "id": "task1420-fc6b225a08944be49817802a4905d34a", "input": "Problem: a heap of coconuts is divided into groups of 2 , 3 and 11 and each time one coconut is left over . the least number of coconuts in the heap is ? a . 31 b . 41 c . 51 d . 61 \nOptions: a ) a ) 31 , b ) b ) 41 , c ) c ) 51 , d ) d ) 67 , e ) e ) 71", "output": [ "d" ] }, { "id": "task1420-19267d6c23f245f19c8f387dd4099eb1", "input": "Problem: in how many no . between 100 and 1000 exactly one of the digits is 3 ? \nOptions: a ) 648 , b ) 512 , c ) 252 , d ) 225 , e ) 26", "output": [ "d" ] }, { "id": "task1420-88ba86105c3a4f038356ece5ce029a09", "input": "Problem: on day one , a store sold 96 pens . on each of the next d days , the company sold 44 pens . if the average daily sales of pens over this time period ( including day one ) is 48 pens , what is the value of d ? \nOptions: a ) 9 , b ) 10 , c ) 11 , d ) 12 , e ) 13", "output": [ "d" ] }, { "id": "task1420-b6c9ec1afbd64853bca3eba90c23eb32", "input": "Problem: there are 1000 buildings in a street . a sign - maker is contracted to number the houses from 1 to 1000 . how many zeroes will he need ? \nOptions: a ) 190 , b ) 191 , c ) 192 , d ) 193 , e ) 194", "output": [ "c" ] }, { "id": "task1420-09e268225e514246be23f0ac6c7c3a2b", "input": "Problem: if 7125 ¸ 1.25 = 5700 < the value of 712.5 ÷ 12.5 is : \nOptions: a ) 5.7 , b ) 57 , c ) 570 , d ) 0.57 , e ) 0.057", "output": [ "b" ] }, { "id": "task1420-03febb0867da48dda2f018ca02d8cf03", "input": "Problem: roy is now 6 years older than julia and half of that amount older than kelly . if in 4 years , roy will be twice as old as julia , then in 4 years what would be roy ’ s age multiplied by kelly ’ s age ? \nOptions: a ) 72 , b ) 84 , c ) 90 , d ) 96 , e ) 108", "output": [ "e" ] }, { "id": "task1420-baa3e3f633d047328fa99dc4daea17df", "input": "Problem: if y > 0 , ( 4 y ) / 20 + ( 3 y ) / 10 is what percent of y ? \nOptions: a ) 40 % , b ) 50 % , c ) 60 % , d ) 70 % , e ) 80 %", "output": [ "b" ] }, { "id": "task1420-042deafca8c04afda107a78c2ac7b2e0", "input": "Problem: to be considered for “ movie of the year , ” a film must appear in at least 1 / 4 of the top - 10 - movies lists submitted by the cinematic academy ’ s 785 members . what is the smallest number of top - 10 lists a film can appear on and still be considered for “ movie of the year ” ? \nOptions: a ) 191 , b ) 197 , c ) 193 , d ) 212 , e ) 213", "output": [ "b" ] }, { "id": "task1420-20f06013298142169aac0bc6763bb61f", "input": "Problem: suppose that f ( x ) is a function such that for every real number x , i ) f ( x ) + f ( 1 - x ) = 10 and ( ii ) f ( 1 + x ) = 3 + f ( x ) . then f ( x ) + f ( - x ) must equal \nOptions: a ) 7 , b ) 9 , c ) 10 , d ) 11 , e ) 12", "output": [ "a" ] }, { "id": "task1420-d4e43cfa8da048d9bd93e6856064da74", "input": "Problem: 1297 x 1297 = ? \nOptions: a ) a ) 1682209 , b ) b ) 1951601 , c ) c ) 1951602 , d ) d ) 1951603 , e ) e ) 1951604", "output": [ "a" ] }, { "id": "task1420-f191185aacc1453fad60e12e37e3a789", "input": "Problem: if one - third of one - fourth of a number is 18 , then 3 - tenth of that number is : a . 35 \nOptions: a ) 23 , b ) 87 , c ) 26 , d ) 64.8 , e ) 01", "output": [ "d" ] }, { "id": "task1420-2f023f461d044b3a8303a366e09015a9", "input": "Problem: working simultaneously and independently at an identical constant rate , 6 machines of a certain type can produce a total of x units of product p in 5 days . how many of these machines , working simultaneously and independently at this constant rate , can produce a total of 4 x units of product p in 10 days ? \nOptions: a ) 9 , b ) 10 , c ) 12 , d ) 14 , e ) 18", "output": [ "c" ] }, { "id": "task1420-07d085e981cd4ac587e95a31b9fc64f6", "input": "Problem: the average age of a family of 5 members is 20 years . if the age of the youngest member be 10 years then what was the average age of the family at the time of the birth of the youngest member ? \nOptions: a ) 13.5 , b ) 14 , c ) 15 , d ) 12.5 , e ) none", "output": [ "d" ] }, { "id": "task1420-1f9b7df1916146a8a28249a79df9e977", "input": "Problem: a , b , c subscribe rs . 50000 for a business . a subscribes rs . 4000 more than b and b rs . 5000 more than c . out of a total profit of rs . 35000 a receives : \nOptions: a ) rs . 11900 , b ) rs . 8400 , c ) rs . 14700 , d ) rs . 13600 , e ) rs . 14600", "output": [ "c" ] }, { "id": "task1420-05d9c2bdba1e4e90a3a06818c230747b", "input": "Problem: in a forest 120 deer were caught , tagged with electronic markers , then released . a week later , 50 deer were captured in the same forest . of these 50 deer , it was found that 5 had been tagged with the electronic markers . if the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest , and if no deer had either left or entered the forest over the preceding week , what is the approximate number of deer in the forest ? \nOptions: a ) 1,200 , b ) 750 , c ) 1,250 , d ) 1,500 , e ) 2,500", "output": [ "a" ] }, { "id": "task1420-105a6618c1ac4b90a71a6ae803ef42f9", "input": "Problem: if x - y - z = 03 x + 4 y + 3 z = 45 x + 2 y + 7 z = 22 , what is the value of z ? \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 2 , e ) 1", "output": [ "a" ] }, { "id": "task1420-52a839579ddc42a791492f29d69dc72b", "input": "Problem: in a certain egg - processing plant , every egg must be inspected , and is either accepted for processing or rejected . for every 96 eggs accepted for processing , 4 eggs are rejected . if , on a particular day , 12 additional eggs were accepted , but the overall number of eggs inspected remained the same , the ratio of those accepted to those rejected would be 99 to 1 . how many w eggs does the plant process per day ? \nOptions: a ) 100 , b ) 300 , c ) 400 , d ) 3,000 , e ) 4,000", "output": [ "c" ] }, { "id": "task1420-ed07f5430d1245449e61bdcdb43a263f", "input": "Problem: what is the sum of all 3 digit numbers that leave a remainder of ' 2 ' when divided by 6 ? \nOptions: a ) 82,650 , b ) 64,850 , c ) 64,749 , d ) 49,700 , e ) 56,720", "output": [ "a" ] }, { "id": "task1420-0af2d41cbfc64d0b8d561fb6b1e2bda5", "input": "Problem: if bill can buy 3 pairs of jeans and 2 shirts for $ 69 or 2 pairs of jeans and 3 shirts for $ 61 , how much does one shirt cost ? \nOptions: a ) $ 9 , b ) $ 12 , c ) $ 13.20 , d ) $ 15 , e ) $ 16.80", "output": [ "a" ] }, { "id": "task1420-6f4b359b17fd4ad68638196de6d4f480", "input": "Problem: xavier , yvonne , and zelda each try independently to solve a problem . if their individual probabilities for success are 1 / 5 , 1 / 2 and 5 / 8 , respectively , what is the probability that xavier and yvonne , but not zelda , will solve the problem ? \nOptions: a ) 11 / 8 , b ) 3 / 80 , c ) 9 / 64 , d ) 5 / 64 , e ) 3 / 64", "output": [ "b" ] }, { "id": "task1420-f303720f6cdc4d9485d00289b7cce4eb", "input": "Problem: when positive integer n is divided by positive integer j , the remainder is 10 . if n / j = 205.08 , what is value of j ? \nOptions: a ) 125 , b ) 100 , c ) 75 , d ) 150 , e ) 50", "output": [ "a" ] }, { "id": "task1420-77175bd5e97f4f6ca23a642be5356d88", "input": "Problem: what is the smallest number which when increased by 3 is divisible by 18 , 70 , 100 and 21 ? \nOptions: a ) 5037 , b ) 5447 , c ) 5867 , d ) 6297 , e ) 6617", "output": [ "d" ] }, { "id": "task1420-e6ff093b374b48c9a006fc7fa9c748a7", "input": "Problem: in a room filled with 6 people , all 6 people have exactly 2 siblings in the room . if two individuals are selected from the room at random , what is the probability that those two individuals are not siblings ? \nOptions: a ) 3 / 5 , b ) 3 / 7 , c ) 4 / 7 , d ) 5 / 6 , e ) 7 / 12", "output": [ "a" ] }, { "id": "task1420-41bc9a4bc7494cfc893f1fb76bb35836", "input": "Problem: a charitable woman gave one penny more than half pennies in her purse to a farmer . afterwards she came across a beggar whom she gave 2 pennies more than half of what she had in her purse . in the end she gave 3 pennies more than half of what she had in her purse and left with a penny with her to a boy . find what she had in the beginning ? \nOptions: a ) 41 , b ) 42 , c ) 43 , d ) 44 , e ) 45", "output": [ "b" ] }, { "id": "task1420-2ba8a651079d494eba6ab8bedd9b93da", "input": "Problem: what is the remainder when 7 ^ 74 - 5 ^ 74 is divided by 2 ? \nOptions: a ) 5 , b ) 1 , c ) 2 , d ) 3 , e ) none of these", "output": [ "e" ] }, { "id": "task1420-503e0baa2ffa4f17a17b54f31f7526e2", "input": "Problem: tickets numbered from 1 to 26 are mixed and then a ticket is selected randomly . what is the probability that the selected ticket bears a number which is a multiple of 3 ? \nOptions: a ) 1 / 5 , b ) 2 / 5 , c ) 3 / 10 , d ) 4 / 13 , e ) 1 / 7", "output": [ "d" ] }, { "id": "task1420-f793c45c9b8e487a9d2c0ddee2609ea8", "input": "Problem: ? x 40 = 173 x 240 \nOptions: a ) 545 , b ) 685 , c ) 1038 , d ) 495 , e ) 534", "output": [ "c" ] }, { "id": "task1420-8ce6b1df945b4475a157222e6fdcb90c", "input": "Problem: how many digits 2 ^ 300 has ? \nOptions: a ) 31 , b ) 35 , c ) 50 , d ) 91 , e ) 101", "output": [ "d" ] }, { "id": "task1420-bd2d2dffd4bd4018aa74918657fd1382", "input": "Problem: s ( n ) is a n - digit number formed by attaching the first n perfect squares , in order , into one integer . for example , s ( 1 ) = 1 , s ( 2 ) = 14 , s ( 3 ) = 149 , s ( 4 ) = 14916 , s ( 5 ) = 1491625 , etc . how many digits y are in s ( 99 ) ? \nOptions: a ) y = 350 , b ) y = 353 , c ) y = 354 , d ) y = 356 , e ) y = 357", "output": [ "b" ] }, { "id": "task1420-5365d4134341493f904c67078e1f5733", "input": "Problem: ( x + 5 ) is a factor in x ^ 2 - mx - 40 . what is the value of m ? \nOptions: a ) 1 , b ) 2 , c ) 4 , d ) 3 , e ) 5", "output": [ "d" ] }, { "id": "task1420-1808979de2ab43929e40fedcc4d0c398", "input": "Problem: if 6 x ^ 2 + x - 12 = ( ax + b ) ( cx + d ) , then | a | + | b | + | c | + | d | \nOptions: a ) 10 , b ) 12 , c ) 15 , d ) 18 , e ) 20", "output": [ "b" ] }, { "id": "task1420-85bdea71a08b441fac477fd7d085ce97", "input": "Problem: how many integers from 1 to 100 exist such that each is divisible by 5 and also has 5 as a digit ? \nOptions: a ) 10 , b ) 12 , c ) 11 , d ) 20 , e ) 25", "output": [ "c" ] }, { "id": "task1420-60a55844ccac4d769074dfdacfd1fccc", "input": "Problem: each of the integers from 1 to 18 is written on the a seperate index card and placed in a box . if the cards are drawn from the box at random without replecement , how many cards must be drawn to ensure that the product of all the integers drawn is even \nOptions: a ) 19 , b ) 12 , c ) 11 , d ) 10 , e ) 3", "output": [ "d" ] }, { "id": "task1420-0ce12234a5ab4bc284fb44de98b26cf5", "input": "Problem: a man is 36 years older than his son . in three years , his age will be thrice the age of his son . the present age of this son is \nOptions: a ) 28 years , b ) 22 years , c ) 18 years , d ) 16 years , e ) 15 years", "output": [ "e" ] }, { "id": "task1420-3eb3acb4c42e4b3eaa8401d6b219d5ec", "input": "Problem: a family x went for a vacation . unfortunately it rained for 13 days when they were there . but whenever it rained in the mornings , they had clear afternoons and vice versa . in all they enjoyed 11 mornings and 12 afternoons . how many days did they stay there totally ? \nOptions: a ) 16 , b ) 18 , c ) 20 , d ) 13 , e ) 14", "output": [ "b" ] }, { "id": "task1420-f9e7af44fd6b49419ec575a1caa0b2e3", "input": "Problem: when positive integer x is divided by positive integer y , the remainder is 11.52 . if x / y = 96.12 , what is the value of y ? \nOptions: a ) 96 , b ) 75 , c ) 48 , d ) 25 , e ) 12", "output": [ "a" ] }, { "id": "task1420-4b6d01d29bba4e21a3f40786a5217586", "input": "Problem: a man â € ™ s current age is ( 2 / 5 ) of the age of his father . after 10 years , he will be ( 1 / 2 ) of the age of his father . what is the age of father at now ? \nOptions: a ) 40 , b ) 45 , c ) 38 , d ) 50 , e ) 39", "output": [ "d" ] }, { "id": "task1420-d731992304284f6299b282fcaa308589", "input": "Problem: simplify : 0.3 * 0.3 + 0.3 * 0.3 \nOptions: a ) 0.52 , b ) 0.42 , c ) 0.18 , d ) 0.64 , e ) 0.46", "output": [ "c" ] }, { "id": "task1420-63823fb2c5d74ada878e00eb1a669bbd", "input": "Problem: if the operation @ is defined for all a and b by the equation a @ b = ( a ^ 2 * b ) * 3 , then 2 @ ( 3 @ - 1 ) = \nOptions: a ) - 324 , b ) 223 , c ) 324 , d ) - 223 , e ) - 410", "output": [ "a" ] }, { "id": "task1420-03e7b25df9e947a2b742986d07fa7b1d", "input": "Problem: the smallest value of n , for which n + 3 is not a prime number , is \nOptions: a ) 1 , b ) 2 , c ) 6 , d ) 8 , e ) 3", "output": [ "e" ] }, { "id": "task1420-1665e1682bfe446ba7899d8e9e7daae0", "input": "Problem: there are 7 teams in a certain league and each team plays each of the other teams exactly twice . if each game is played by 2 teams , what is the total number of games played ? \nOptions: a ) 15 , b ) 16 , c ) 28 , d ) 42 , e ) 64", "output": [ "d" ] }, { "id": "task1420-ab51d3b78a26496a8579b1d083fc2b42", "input": "Problem: let f ( x ) = x ^ 2 + bx + c . if f ( 1 ) = 0 and f ( - 6 ) = 0 , then f ( x ) crosses the y - axis at what y - coordinate ? \nOptions: a ) - 6 , b ) - 1 , c ) 0 , d ) 1 , e ) 6", "output": [ "a" ] }, { "id": "task1420-b4199dac7ac747cf9c4963aaa0711b6b", "input": "Problem: john has $ 1,600 at the beginning of his trip , after spending money , he still has exactly $ 800 less than he spent on the trip . how much money does john still have ? \nOptions: a ) $ 200 , b ) $ 400 , c ) $ 600 , d ) $ 800 , e ) $ 1,200", "output": [ "b" ] }, { "id": "task1420-fd1a2b40db9240c9951df0e47704d0c7", "input": "Problem: if money is invested at r percent interest , compounded annually , the amount of investment will double in approximately 70 / r years . if pat ' s parents invested $ 5000 in a long term bond that pays 4 percent interest , compounded annually , what will be the approximate total amount of investment 36 years later , when pat is ready for college ? \nOptions: a ) $ 20000 , b ) $ 15000 , c ) $ 12000 , d ) $ 10000 , e ) $ 9000", "output": [ "a" ] }, { "id": "task1420-ba9d41ee686141a88b5cf4647754ad82", "input": "Problem: a family consists of two grandparents , two parents , and 3 grandchildren . the average age of the grandparents is 64 years , the average age of the parents is 39 years , and the average age of the grandchildren is 6 years . what is the average age ( in years ) of the family ? \nOptions: a ) 31 , b ) 32 , c ) 33 , d ) 34 , e ) 35", "output": [ "b" ] }, { "id": "task1420-e3fe17a582494cc09c7c40c306041ee6", "input": "Problem: in the graduating class of a certain college , 48 percent of the students are male and 52 percent are female . in this class 40 percent of the male and 30 percent of the female students are 25 years old or older . if one student in the class is randomly selected , approximately what is the probability that he or she will be less than 25 years old ? \nOptions: a ) a ) 0.9 , b ) b ) 0.6 , c ) c ) 0.45 , d ) d ) 0.3 , e ) e ) 0.25", "output": [ "b" ] }, { "id": "task1420-c609377a36524a77accf53733e2df1de", "input": "Problem: a sporting goods store sold 64 frisbees in one week , some for $ 3 and the rest for $ 4 each . if receipts from frisbee sales for the week totaled $ 200 , what is the fewest number of $ 4 frisbees that could have been sold ? \nOptions: a ) 24 , b ) 8 , c ) 12 , d ) 4 , e ) 2", "output": [ "b" ] }, { "id": "task1420-6c78951e04e142d895b4a96258784dd4", "input": "Problem: a certain manufacturer produces items for which the production costs consist of annual fixed costs totaling $ 130,000 and variables costs averaging $ 5 per item . if the manufacturer ’ s selling price per item is $ 15 , how many items the manufacturer produce and sell to earn an annual profit of $ 150,000 ? \nOptions: a ) 2,858 , b ) 18,667 , c ) 28,000 , d ) 35,000 , e ) 40,000", "output": [ "c" ] }, { "id": "task1420-36059dfdfa95440183614381cf45111e", "input": "Problem: a company has 15 managers and 75 associates . the 15 managers have an average salary of $ 150,000 . the 75 associates have an average salary of $ 30,000 . what is the average salary for the company ? \nOptions: a ) $ 35,000 , b ) $ 45,000 , c ) $ 50,000 , d ) $ 65,000 , e ) $ 75,000", "output": [ "c" ] }, { "id": "task1420-b40244ac8cf046a4ade814f79b609424", "input": "Problem: subash can copy 50 pages in 10 hrs . subash and prakash together can copy 300 pages in 40 hours . in how much time prakash can copy 15 pages . \nOptions: a ) 8 , b ) 10 , c ) 12 , d ) 14 , e ) 6", "output": [ "e" ] }, { "id": "task1420-4f425a4899184aabb8ae01f02676ecc3", "input": "Problem: the total number of plums that grow during each year on a certain plum tree is equal to the number of plums that grew during the previous year , less the age of the tree in years ( rounded down to the nearest integer ) . during its 4 th year , the plum tree grew 50 plums . if this trend continues , how many plums will it grow during its 6 th year ? \nOptions: a ) 36 , b ) 41 , c ) 38 , d ) 40 , e ) 42", "output": [ "b" ] }, { "id": "task1420-15089cef90874ebebc075abf4250d1a9", "input": "Problem: in an examination , the percentage of students qualified to the number of students appeared from school a is 70 % . in school b , the number of students appeared is 20 % more than the students appeared from school a and the number of students qualified from school b is 50 % more than the students qualified from school a . what is the percentage of students qualified to the number of students appeared from school b ? \nOptions: a ) 30 % , b ) 70 % , c ) 80 % , d ) 87.5 % , e ) none", "output": [ "d" ] }, { "id": "task1420-9db56a6951e8403ab598602d313630a9", "input": "Problem: 10 camels cost as much as 24 horses , 16 horses cost as much as 4 oxen and 6 oxen as much as 4 elephants . if the cost of 10 elephants is rs . 130000 , find the cost of a camel ? \nOptions: a ) s . 9800 , b ) s . 3800 , c ) s . 9800 , d ) s . 5200 , e ) s . 6880", "output": [ "d" ] }, { "id": "task1420-eb0f63dc660c43c4a6c740a2562b9177", "input": "Problem: a large box contains 18 small boxes and each small box contains 25 chocolate bars . how many chocolate bars are in the large box ? \nOptions: a ) 350 , b ) 250 , c ) 450 , d ) 550 , e ) 650", "output": [ "c" ] }, { "id": "task1420-318061724537452c9551cc0f09afeccd", "input": "Problem: if ( 1 / 2 ) ^ 23 ( 1 / 81 ) ^ k = 1 / 18 ^ 23 , then k = \nOptions: a ) 8 , b ) 12 , c ) 16 , d ) 24 , e ) 46 / 4", "output": [ "e" ] }, { "id": "task1420-cb0b1dcca58645888f862da20fef4ee6", "input": "Problem: a & b started a partnership business . a ' s investment was thrice the investment of b and the period of his investment was two times the period of investments of b . if b received rs 6000 as profit , what is their total profit ? \nOptions: a ) 28000 , b ) 30000 , c ) 42000 , d ) 34000 , e ) none of these", "output": [ "c" ] }, { "id": "task1420-3c3f0e63b90f4e0e88abfce4cf2bf82a", "input": "Problem: in 10 years , a will be twice as old 5 as b was 10 years ago . if a is now 5 years older than b , the present age of b is \nOptions: a ) 35 , b ) 37 , c ) 39 , d ) 41 , e ) 42", "output": [ "a" ] }, { "id": "task1420-dd23480a462a4288ac5fc16ace1d779c", "input": "Problem: the mean of 50 observations is 200 . but later he found that there is decrements of 9 from each observations . what is the the updated mean is ? \nOptions: a ) 165 , b ) 185 , c ) 190 , d ) 191 , e ) 199", "output": [ "d" ] }, { "id": "task1420-e026248956174cd98d9a25c11020f19f", "input": "Problem: in the graduating class of a certain college , 48 percent of the students are male and 52 percent are female . in this class 40 percent of the male and 40 percent of the female students are 25 years old or older . if one student in the class is randomly selected , approximately what is the probability that he or she will be less than 25 years old ? \nOptions: a ) a ) 0.9 , b ) b ) 0.6 , c ) c ) 0.45 , d ) d ) 0.3 , e ) e ) 0.25", "output": [ "b" ] }, { "id": "task1420-bd1a29e1190c4219974fd1cb1538af57", "input": "Problem: on rainy mornings , mo drinks exactly n cups of hot chocolate ( assume that n is an integer ) . on mornings that are not rainy , mo drinks exactly 4 cups of tea . last week mo drank a total of 42 cups of tea and hot chocolate together . if during that week mo drank 14 more tea cups than hot chocolate cups , then how many rainy days were there last week ? \nOptions: a ) 0 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "a" ] }, { "id": "task1420-fe1892e098a3439eb7e6bd528800c6ae", "input": "Problem: at the end of the day , february 14 th , a florist had 120 roses left in his shop , all of which were red , white or pink in color and either long or short - stemmed . a third of the roses were short - stemmed , 20 of which were white and 10 of which were pink . the percentage of pink roses that were short - stemmed equaled the percentage of red roses that were short - stemmed . if none of the long - stemmed roses were white , what percentage of the long - stemmed roses were red ? \nOptions: a ) 20 % , b ) 50 % , c ) 55 % , d ) 75 % , e ) 80 %", "output": [ "b" ] }, { "id": "task1420-9bbfbd93e14f46aa86467225cefd4c45", "input": "Problem: a , b , c and d enter into partnership . a subscribes 1 / 3 of the capital b 1 / 4 , c 1 / 5 and d the rest . how much share did a get in a profit of rs . 2445 ? \nOptions: a ) s . 800 , b ) s . 810 , c ) s . 815 , d ) s . 900 , e ) s . 920", "output": [ "c" ] }, { "id": "task1420-496d7c6c584e453cb2cdbaef8816bbb9", "input": "Problem: 5 drainage pipes , each draining water from a pool at the same constant rate , together can drain a certain pool in 16 days . how many additional pipes , each draining water at the same constant rate , will be needed to drain the pool in 4 days ? \nOptions: a ) 6 , b ) 9 , c ) 10 , d ) 12 , e ) 15", "output": [ "e" ] }, { "id": "task1420-93b80cd98de643f9a684f3e1dd54d85b", "input": "Problem: when positive integer x is divided by positive integer y , the remainder is 9 . if x / y = 96.12 , what is the value of y ? \nOptions: a ) 96 , b ) 75 , c ) 48 , d ) 25 , e ) 12", "output": [ "b" ] }, { "id": "task1420-4479feeca016427daa2107a9465e5b82", "input": "Problem: if 2 / z = 2 / ( z + 1 ) + 2 / ( z + 25 ) which of these integers could be the value of z ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 5", "output": [ "e" ] }, { "id": "task1420-463d0b6ec206436c84f8cff72d389bec", "input": "Problem: machine x and machine b are each used to manufacture 660 sprockets . it takes machine x 10 hours longer to produce 660 sprockets than machine b . machine b produces 10 percent more sprockets per hour than machine x . how many sprockets per hour does machine x produces ? \nOptions: a ) 6 , b ) 6.6 , c ) 60 , d ) 100 , e ) 110", "output": [ "a" ] }, { "id": "task1420-9e0c08fac6da40bb960084f712469853", "input": "Problem: in 30 years , a will be twice as old as b was 30 years ago . if a is now 5 years older than b , the present age of b is ? \nOptions: a ) 85 yrs , b ) 95 yrs , c ) 93 yrs , d ) 82 yrs , e ) 90 yrs", "output": [ "b" ] }, { "id": "task1420-0e57a4c023c5492d909b30b729e48418", "input": "Problem: a student chose a number , multiplied it by 7 , then subtracted 150 from the result and got 130 . what was the number he chose ? \nOptions: a ) 40 , b ) 42 , c ) 44 , d ) 46 , e ) 48", "output": [ "a" ] }, { "id": "task1420-0ec6143b90df443b90f326f0a5395b8b", "input": "Problem: a small pool filled only with water will require an additional 300 gallons of water in order to be filled to 80 % of its capacity . if pumping in these additional 300 gallons of water will increase the amount of water in the pool by 30 % , what is the total capacity of the pool in gallons ? \nOptions: a ) 1000 , b ) 1250 , c ) 1300 , d ) 1600 , e ) 1625", "output": [ "e" ] }, { "id": "task1420-fe853165ebf541d0af7168d695834fef", "input": "Problem: the least number of 4 digits which is divisible by 15 , 25 , 40 and 75 is : \nOptions: a ) 9000 , b ) 9400 , c ) 9600 , d ) 9800 , e ) 9700", "output": [ "c" ] }, { "id": "task1420-6974951c756c4f659c2ed90978f218c0", "input": "Problem: in a factory , an average of 70 tv ' s are produced per day for the fist 25 days of the months . a few workers fell ill for the next 5 days reducing the daily avg for the month to 68 sets / day . the average production per day for day last 5 days is ? \nOptions: a ) 20 , b ) 36 , c ) 48 , d ) 50 , e ) 58", "output": [ "e" ] }, { "id": "task1420-1aa0a3e866674b83a8be748b83bca30d", "input": "Problem: there are 8 teams in a certain league and each team plays each of the other teams exactly twice . if each game is played by 2 teams , what is the total number of games played ? \nOptions: a ) 15 , b ) 16 , c ) 28 , d ) 56 , e ) 64", "output": [ "d" ] }, { "id": "task1420-79e2fefabee94102b6b960e3339185d0", "input": "Problem: a certain characteristic in a large population has a distribution that is symmetric about the mean m . if 84 percent of the distribution lies within one standard deviation d of the mean , what percent of the distribution is less than m + d ? \nOptions: a ) 16 % , b ) 32 % , c ) 48 % , d ) 84 % , e ) 92 %", "output": [ "e" ] }, { "id": "task1420-85618cac6a9b48579c2349f0592b00a0", "input": "Problem: a drink vendor has 50 liters of maaza , 144 liters of pepsi and 368 liters of sprite . he wants to pack them in cans , so that each can contains the same number of liters of a drink , and does n ' t want to mix any two drinks in a can . what is the least number of cans required ? \nOptions: a ) 135 , b ) 237 , c ) 281 , d ) 300 , e ) 380", "output": [ "c" ] }, { "id": "task1420-5f24ad39bb3a42298dd2ff3d75dd3144", "input": "Problem: what is the sum of all the odd numbers between 24 and 50 , inclusive ? \nOptions: a ) 592 , b ) 481 , c ) 330 , d ) 475 , e ) 483", "output": [ "b" ] }, { "id": "task1420-c3eabf80f0ac40238722fb6235fbb3fd", "input": "Problem: 10 play kabadi , 25 play kho kho only , 5 play both gmaes . then how many in total ? \nOptions: a ) 30 , b ) 35 , c ) 38 , d ) 40 , e ) 45", "output": [ "b" ] }, { "id": "task1420-0877d28b60b34611b17ba8139dab794b", "input": "Problem: the instructions state that cheryl needs 4 / 9 square yards of one type of material and 2 / 3 square yards of another type of material for a project . she buys exactly that amount . after finishing the project , however , she has 8 / 18 square yards left that she did not use . what is the total amount of square yards of material cheryl used ? \nOptions: a ) 1 / 12 , b ) 1 / 9 , c ) 2 / 3 , d ) 1 1 / 9 , e ) 2 1 / 9", "output": [ "c" ] }, { "id": "task1420-fcc8c8dd2e644d369f60174f07794b9d", "input": "Problem: a batsman scored 120 runs which included 3 boundaries and 8 sixes . what percent of his total score did he make by running between the wickets ? \nOptions: a ) 45 ( 4 / 11 ) % , b ) 50 % , c ) 45 ( 5 / 11 ) % , d ) 44 ( 5 / 11 ) % , e ) none of these", "output": [ "b" ] }, { "id": "task1420-f62091ccb569486b9ca62a761e4c3087", "input": "Problem: in the faculty of reverse - engineering , 200 second year students study numeric methods , 400 second year students study automatic control of airborne vehicles and 100 second year students study them both . how many students are there in the faculty if the second year students are approximately 60 % of the total ? \nOptions: a ) 834 , b ) 750 , c ) 633 , d ) 654 , e ) 812", "output": [ "a" ] }, { "id": "task1420-99158a2967f84f90b3604305d5e933f3", "input": "Problem: andy solves problems 80 to 125 inclusive in a math exercise . how many problems does he solve ? \nOptions: a ) 53 , b ) 52 , c ) 51 , d ) 46 , e ) 49", "output": [ "d" ] }, { "id": "task1420-4efa2942b9294ca4b97d9d4b401ee982", "input": "Problem: the average of 5 numbers is 6.8 . if one of the numbers is multiplied by a factor of 4 , the average of the numbers increases to 9.2 . what number is multiplied by 4 ? \nOptions: a ) 1.5 , b ) 3.0 , c ) 3.9 , d ) 4.0 , e ) 6.0", "output": [ "d" ] }, { "id": "task1420-6a0237905c0b4f658a5aca3dabe8ab4d", "input": "Problem: if a + b = − 9 , and a = 30 / b , what is the value of a ^ 2 + b ^ 2 ? \nOptions: a ) 31 , b ) 21 , c ) 41 , d ) 61 , e ) 51", "output": [ "b" ] }, { "id": "task1420-ec7d44c51b3f4d8fb6287af05c26c73e", "input": "Problem: 20 ^ 10 / 120 ^ 5 = ? \nOptions: a ) 6 ^ 5 , b ) 5 ^ 6 , c ) ( 10 / 3 ) ^ 5 , d ) 6 ^ 3 , e ) 15 ^ 3", "output": [ "c" ] }, { "id": "task1420-8e518aab0f3848e9bf4f2b7fa3c3dd44", "input": "Problem: what least value must be given to * so that the number 451 * 603 is exactly divisible by 9 ? \nOptions: a ) 2 , b ) 5 , c ) 7 , d ) 8 , e ) 9", "output": [ "e" ] }, { "id": "task1420-30b7bf626cbc417b8bc9d2e4f2eaf168", "input": "Problem: if 50 % of ( x - y ) = 30 % of ( x + y ) then what percent of x is y ? \nOptions: a ) 2.5 % , b ) 10 % , c ) 5 % , d ) 15 % , e ) 25 %", "output": [ "e" ] }, { "id": "task1420-8dac1c53880441efa27dc42a23a123b8", "input": "Problem: a big container is 30 % full with water . if 9 liters of water is added , the container becomes 3 / 4 full . what is the capacity of the big container ? \nOptions: a ) 20 liters , b ) 40 liters , c ) 45 liters , d ) 54 liters , e ) 60 liters", "output": [ "a" ] }, { "id": "task1420-df65f39727fd4b28a3bd90e7a1327bf2", "input": "Problem: if n is a positive integer , what is the remainder when ( 7 ^ ( 4 n + 3 ) ) ( 3 ^ n ) is divided by 10 ? \nOptions: a ) 1 , b ) 2 , c ) 4 , d ) 6 , e ) 8", "output": [ "b" ] }, { "id": "task1420-0ca56fb2bba14e5897a978dbf56bedb9", "input": "Problem: find value for x from below equation ? x + 1 = - 3 \nOptions: a ) 1 , b ) - 4 , c ) - 1 , d ) 2 , e ) 3", "output": [ "b" ] }, { "id": "task1420-aa1f00a8da3342ce96c74b1e027d6898", "input": "Problem: if integer k is equal to the sum of all even multiples of 35 between 280 and 630 , what is the greatest prime factor of k ? \nOptions: a ) 5 , b ) 7 , c ) 11 , d ) 13 , e ) 11 * 455", "output": [ "e" ] }, { "id": "task1420-83248da46f3340fca169f9f55d927d4d", "input": "Problem: the youngest of 4 children has siblings who are 3 , 5 , and 8 years older than she is . if the average ( arithmetic mean ) age of the 4 siblings is 21 , what is the age of the youngest sibling ? \nOptions: a ) 17 , b ) 18 , c ) 19 , d ) 21 , e ) 22", "output": [ "a" ] }, { "id": "task1420-3824c151d0ca496d9ccbe8fb14c22c59", "input": "Problem: average age of students of an adult school is 40 years . 120 new students whose average age is 32 years joined the school . as a result the average age is decreased by 4 years . find the number of students of the school after joining of the new students . \nOptions: a ) 1200 , b ) 120 , c ) 360 , d ) 240 , e ) none of these", "output": [ "d" ] }, { "id": "task1420-3fd85e6e2c624d5f8a86aa341881dcb6", "input": "Problem: gold is 19 times as heavy as water and copper is 9 times as heavy as water . in what ratio should these be mixed to get an alloy 16 times as heavy as water ? \nOptions: a ) 1 : 2 , b ) 7 : 3 , c ) 4 : 1 , d ) 5 : 2 , e ) 6 : 5", "output": [ "b" ] }, { "id": "task1420-fa547257120048ec994205f3ea9b7d81", "input": "Problem: if 7 ^ q is a factor of the product of the integers from 1 to 100 , inclusive , what is the largest value of q ? \nOptions: a ) 12 , b ) 13 , c ) 14 , d ) 15 , e ) 16", "output": [ "e" ] }, { "id": "task1420-edc11559b2e4481fb3d982939a6523a6", "input": "Problem: find the ones digit of 73 ^ 340 \nOptions: a ) 3 , b ) 5 , c ) 6 , d ) 7 , e ) 9", "output": [ "a" ] }, { "id": "task1420-c515f717f5074c63b844e387c8209f0d", "input": "Problem: the temperature of a certain cup of coffee 6 minutes after it was poured was 120 degrees fahrenheit . if the temperature f of the coffee t minutes after it was poured can be determined by the formula f = 120 * 2 ^ ( - at ) + 60 , where f is in degrees fahrenheit and a is a constant . then the temperature of the coffee 30 minutes after it was poured was how many degrees fahrenheit ? \nOptions: a ) 65 , b ) 63.75 , c ) 80 , d ) 85 , e ) 90", "output": [ "b" ] }, { "id": "task1420-2dbf7725a7474a738eb73322ad50e5e6", "input": "Problem: for 2 consecutive yrs , my incomes are in the ratio of 4 : 7 and expenses in the ratio of 3 : 5 . if my income in the 2 nd yr is rs . 42000 & my expenses in the first yr in rs . 24000 , my total savings for the two - year is \nOptions: a ) s . 8000 , b ) s . 7000 , c ) s . 9900 , d ) s . 9990 , e ) s . 10000", "output": [ "b" ] }, { "id": "task1420-f537468a548f44c1b8a94f826c171d9a", "input": "Problem: for any positive integer n , the sum of the first n positive integers equals n ( n + 1 ) / 2 . what is the sum of all the even integers between 99 and 161 ? \nOptions: a ) 2670 , b ) 2980 , c ) 3550 , d ) 4030 , e ) 4540", "output": [ "d" ] }, { "id": "task1420-2ea7d61ef07a4257b8cbbd28743c2a3d", "input": "Problem: find the smallest number of five digits exactly divisible by 24 , 48,64 and 88 . \nOptions: a ) 11952 , b ) 11852 , c ) 11752 , d ) 11652 , e ) 11552", "output": [ "a" ] }, { "id": "task1420-71505c10a6814887aad032c513d1c45b", "input": "Problem: if 5400 mn = k ^ 4 , where m , n , and k are positive integers , what is the least possible value of 5 m + n ? \nOptions: a ) 65 , b ) 18 , c ) 20 , d ) 25 , e ) 33", "output": [ "a" ] }, { "id": "task1420-94882a8df47f4440970d7a1ff2ca2f4b", "input": "Problem: a card board of size 34 * 14 has to be attached to a wooden box and a total of 35 pins are to be used on the each side of the card box . find the total number of pins used . \nOptions: a ) 135 , b ) 136 , c ) 137 , d ) 138 , e ) 139", "output": [ "b" ] }, { "id": "task1420-c4caa5177de94dd9b7feb4a3bcc2576b", "input": "Problem: a number is mistakenly divided by 5 instead of being multiplied by 5 . find the percentage change in the result due t this mistake . \nOptions: a ) 96 % , b ) 95 % , c ) 2400 % , d ) 200 % , e ) 400 %", "output": [ "a" ] }, { "id": "task1420-11d74ef0f5f640148dad7464d41a6c7e", "input": "Problem: the average ( arithmetic mean ) of the even integers from 0 to 40 inclusive is how much greater than the average ( arithmetic mean ) of the even integers from 0 to 20 inclusive ? \nOptions: a ) 5 , b ) 8 , c ) 10 , d ) 15 , e ) 20", "output": [ "c" ] }, { "id": "task1420-afc33e8a336f4b96982a70a1c232e848", "input": "Problem: a batsman scores 26 runs and increases his average from 14 to 15 . find the runs to be made if he wants top increasing the average to 19 in the same match ? \nOptions: a ) 12 , b ) 18 , c ) 25 , d ) 74 , e ) 88", "output": [ "d" ] }, { "id": "task1420-39f388e09b204ac584e6d1fd6b395bc5", "input": "Problem: if 2 x + y = 7 and x + 2 y = 5 , then 10 xy / 3 = ? \nOptions: a ) a ) 10 , b ) b ) 2 , c ) c ) 17 / 5 , d ) d ) 18 / 5 , e ) e ) 4", "output": [ "a" ] }, { "id": "task1420-798e869e5c764e61a6ef706d72f781e4", "input": "Problem: a type of extra - large suv averages 12.2 miles per gallon ( mpg ) on the highway , but only 7.6 mpg in the city . what is the maximum distance , in miles , that this suv could be driven on 23 gallons of gasoline ? \nOptions: a ) 190 , b ) 284.6 , c ) 300 , d ) 280 , e ) 312", "output": [ "d" ] }, { "id": "task1420-23bebaf29e9d43edb3834b58c5ea8869", "input": "Problem: what is the value of x ^ 2 yz − xyz ^ 2 , if x = − 2 , y = 1 , and z = 4 ? \nOptions: a ) 20 , b ) 24 , c ) 30 , d ) 32 , e ) 48", "output": [ "e" ] }, { "id": "task1420-07a13612b678483d910df49189dc1e4e", "input": "Problem: if taxi fares were $ 2.00 for the first 1 / 5 mile and $ 0.40 for each 1 / 5 mile there after , then the taxi fare for a 4 - mile ride was \nOptions: a ) $ 4.60 , b ) $ 9.80 , c ) $ 19.60 , d ) $ 9.60 , e ) $ 29.60", "output": [ "d" ] }, { "id": "task1420-81c8e619de484068b21dae794fc1b1ec", "input": "Problem: in a recent election , james received 1.5 percent of the 2,000 votes cast . to win the election , a candidate needed to receive more than 50 percent of the vote . how many additional votes would james have needed to win the election ? \nOptions: a ) 901 , b ) 989 , c ) 990 , d ) 971 , e ) 1,001", "output": [ "d" ] }, { "id": "task1420-2ca253f83b314dfebcebb4b492920bca", "input": "Problem: in a certain game of dice , the player ’ s score is determined as a sum of three throws of a single die . the player with the highest score wins the round . if more than one player has the highest score , the winnings of the round are divided equally among these players . if jim plays this game against 24 other players , what is the probability of the minimum score that will guarantee jim some monetary payoff ? \nOptions: a ) 1 / 216 , b ) 1 / 221 , c ) 1 / 212 , d ) 1 / 84 , e ) 1 / 42", "output": [ "a" ] }, { "id": "task1420-0b97a5bba30945d590890f81ae3c112c", "input": "Problem: in 1985 a company sold a brand of shoes to retailers for a fixed price per pair . in 1986 the number of pairs of the shoes that the company sold to retailers decreased by 20 percent , while the price per pair increased by 20 percent . if the company ’ s revenue from the sale of the shoes in 1986 was $ 3.0 million , what was the approximate revenue from the sale of the shoes in 1985 ? \nOptions: a ) $ 2.4 million , b ) $ 2.9 million , c ) $ 3.0 million , d ) $ 3.1 million , e ) $ 3.6 million", "output": [ "d" ] }, { "id": "task1420-6ee694d5c05c4bc788e8bcbea1574aca", "input": "Problem: in a maths test , students were asked to find 5 / 16 of a certain number . one of the students by mistake found 5 / 6 th of that number and his answer was 50 more than the correct answer . find the number . \nOptions: a ) 96 , b ) 280 , c ) 384 , d ) 400 , e ) 500", "output": [ "a" ] }, { "id": "task1420-c1ec6b51fcc547dc93a359e7865ec7dd", "input": "Problem: solution x is 10 percent alcohol by volume , and solution y is 30 percent alcohol by volume . how many milliliters of solution y must be added to 250 milliliters of solution x to create a solution that is 25 percent alcohol by volume ? \nOptions: a ) 250 / 3 , b ) 750 , c ) 400 , d ) 480 , e ) 600", "output": [ "b" ] }, { "id": "task1420-c6d43e3939ca4e7e9afb9e42a230b935", "input": "Problem: if x / 4 years ago roger was 14 years old and x / 4 years from now he will be 4 x years old , how old will he be 6 x years from now ? \nOptions: a ) 32 , b ) 39 , c ) 30 , d ) 40 , e ) 28", "output": [ "b" ] }, { "id": "task1420-f26c6712e7454539923d4625e92ec971", "input": "Problem: how many positive integers less than 100 are neither multiples of 4 or 5 . \nOptions: a ) a ) 30 , b ) b ) 60 , c ) c ) 32 , d ) d ) 33 , e ) e ) 34", "output": [ "b" ] }, { "id": "task1420-17350394437c4e87a4883c94a0e57983", "input": "Problem: a man is 20 years older than his son . in two years , his age will be twice the age of his son . the present age of his son is \nOptions: a ) 16 , b ) 14 , c ) 15 , d ) 18 , e ) 20", "output": [ "d" ] }, { "id": "task1420-2bfe04fbc7dc4aab8c3a3216904f5936", "input": "Problem: a group of students decided to collect as many paise from each member of group as is the number of members . if the total collection amounts to rs . 32.49 , the number of the member is the group is : \nOptions: a ) 57 , b ) 67 , c ) 77 , d ) 87 , e ) 97", "output": [ "a" ] }, { "id": "task1420-d9d44d2c178344caac8f5761b2b1cfb2", "input": "Problem: if the average ( arithmetic mean ) of 8 consecutive odd integers is 414 , then the least of these integers is \nOptions: a ) a ) 407 , b ) b ) 518 , c ) c ) 519 , d ) d ) 521 , e ) e ) 525", "output": [ "a" ] }, { "id": "task1420-6280b8c30c24477b8c87b4e732142481", "input": "Problem: if the probability of rain on any given day in chicago during the summer is 50 % , independent of what happens on any other day , what is the probability of having exactly 3 rainy days from july 4 through july 7 , inclusive ? \nOptions: a ) 1 / 4 , b ) 1 / 8 , c ) 3 / 8 , d ) 3 / 16 , e ) 5 / 16", "output": [ "a" ] }, { "id": "task1420-4ebb0496e1a8473c8c775ee48d8f57b1", "input": "Problem: what least value should be replaced by * in 223431 * so the number become divisible by 5 \nOptions: a ) 0 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "a" ] }, { "id": "task1420-bd2154fc09c943bcbd860c5eb92754ef", "input": "Problem: what is the value of n if the sum of the consecutive odd integers from 1 to n equals 169 ? \nOptions: a ) 47 , b ) 25 , c ) 37 , d ) 33 , e ) 29", "output": [ "b" ] }, { "id": "task1420-e8edb0de281f4d83bcf88be445570b6b", "input": "Problem: a number is doubled and 9 is added . if resultant is trebled , it becomes 81 . what is that number \nOptions: a ) 9 , b ) 10 , c ) 12 , d ) 14 , e ) 15", "output": [ "a" ] }, { "id": "task1420-adc9a6d471654371926fbecf6db5035d", "input": "Problem: the average of 2 , 76 and x is 5 . find the value of x ? \nOptions: a ) 10 , b ) 8 , c ) 12 , d ) 15 , e ) 5", "output": [ "e" ] }, { "id": "task1420-90a2aa36aabd457c898ee1bf6a136632", "input": "Problem: how many numbers from 10 to 100 are exactly divisible by 9 ? \nOptions: a ) 7 , b ) 8 , c ) 10 , d ) 12 , e ) 14", "output": [ "c" ] }, { "id": "task1420-fb72dc301dcb4639bbd300baa4cf932a", "input": "Problem: a sports equipment store sold ping pong rackets for a total of $ 686 . if the average ( arithmetic mean ) price of a pair of rackets is $ 9.8 , how many pairs were sold ? \nOptions: a ) 50 , b ) 100 , c ) 70 , d ) 500 , e ) 980", "output": [ "c" ] }, { "id": "task1420-ca66dabfd241412b8749534e57ec2f97", "input": "Problem: in the storage room of a certain bakery , the ratio of sugar to flour is 5 to 4 , and the ratio of flour to baking soda is 10 to 1 . if there were 60 more pounds of baking soda in the room , the ratio of flour to baking soda would be 8 to 1 . how many pounds of sugar are stored in the room ? \nOptions: a ) 600 , b ) 1200 , c ) 1500 , d ) 1600 , e ) 3000", "output": [ "e" ] }, { "id": "task1420-fe7732870bcc42ae824a8130f1edd3a7", "input": "Problem: a bowl of nuts is prepared for a party . brand p mixed nuts are 20 % almonds and brand q ' s deluxe nuts are 25 % almonds . if a bowl contains a total of 65 ounces of nuts , representing a mixture of both brands , and 15 ounces of the mixture are almonds , how many ounces of brand q ' s deluxe mixed nuts are used ? \nOptions: a ) 16 , b ) 20 , c ) 32 , d ) 40 , e ) 48", "output": [ "d" ] }, { "id": "task1420-42992e63650a4a939ab4e7ae139ac7c6", "input": "Problem: what is the least number to be added to 1480 to make it a perfect square ? \nOptions: a ) 105 , b ) 160 , c ) 200 , d ) 71 , e ) 120", "output": [ "e" ] }, { "id": "task1420-e893b37b912b4ce6a17955669eefc0d4", "input": "Problem: in the coordinate plane , points ( x , 1 ) and ( 12 , y ) are on line k . if line k passes through the origin and has slope 1 / 2 , then x + y = \nOptions: a ) 4.5 , b ) 7 , c ) 8 , d ) 11 , e ) 12", "output": [ "c" ] }, { "id": "task1420-a0454795f0e34e0eb3cfef18698d5221", "input": "Problem: a certain scholarship committee awarded scholarships in the amounts of $ 1250 , $ 2500 and $ 4000 . the committee awarded twice as many $ 2500 scholarships as $ 4000 and it awarded 3 times as many $ 1250 scholarships as $ 2500 scholarships . if the total of $ 75000 was awarded in $ 1250 scholarships , how many $ 4000 scholarships were awarded ? \nOptions: a ) 5 , b ) 6 , c ) 9 , d ) 10 , e ) 15", "output": [ "d" ] }, { "id": "task1420-6adce6dad7e54e96b680a0c33071b20b", "input": "Problem: 17 times a positive integer is more than its square by 60 , then the positive integer is \nOptions: a ) 13 , b ) 10 , c ) 11 , d ) 5 , e ) 14", "output": [ "d" ] }, { "id": "task1420-43e32b3de7a74a94b62b25f73b7f6180", "input": "Problem: the 3 digits of a number add up to 11 . the number is divisible by 5 . the leftmost digit is double the middle digit . what is the product of the 3 digits ? \nOptions: a ) 38 , b ) 40 , c ) 78 , d ) 88 , e ) 125", "output": [ "b" ] }, { "id": "task1420-05969cd78439452192a52fea1d0b6b4b", "input": "Problem: what is the remainder when 49 ^ 74 - 5 ^ 74 is divided by 24 ? \nOptions: a ) 2 , b ) 1 , c ) 0 , d ) 3 , e ) none of these", "output": [ "c" ] }, { "id": "task1420-8f4c6e446a254445ad57f7e68614ca1b", "input": "Problem: cereal a is 10 % sugar by weight , whereas healthier but less delicious cereal b is 3 % sugar by weight . to make a delicious and healthy mixture that is 5 % sugar , what should be the ratio of cereal a to cereal b , by weight ? \nOptions: a ) 2 : 5 , b ) 2 : 7 , c ) 1 : 6 , d ) 1 : 4 , e ) 1 : 3", "output": [ "a" ] }, { "id": "task1420-041c6fc622094f93a239dd390c6659a6", "input": "Problem: if 2 x + y = 7 and x + 2 y = 5 , then ( 2 x + 2 y ) / 3 = \nOptions: a ) 3 , b ) 4 / 3 , c ) 17 / 5 , d ) 18 / 5 , e ) 4", "output": [ "a" ] }, { "id": "task1420-ed571b665c40450baafb145aaf14c034", "input": "Problem: at 1 : 00 pm , there were 10.0 grams of bacteria . the bacteria increased to x grams at 4 : 00 pm , and 25.6 grams at 7 : 00 pm . if the amount of bacteria present increased by the same fraction during each of the 3 - hour periods , how many grams of bacteria were present at 4 : 00 pm ? \nOptions: a ) 15.1 , b ) 15.4 , c ) 15.7 , d ) 16.0 , e ) 16.3", "output": [ "d" ] }, { "id": "task1420-ee19072d39c047738c881947ff01f877", "input": "Problem: a mixture contains alcohol and water in the ratio 4 : 3 . if 8 litres of water is added to the mixture , the ratio becomes 4 : 5 . find the quantity of alcohol in the given mixture \nOptions: a ) 15 litres , b ) 10 litres , c ) 30 litres , d ) 22 litres , e ) 16 litres", "output": [ "e" ] }, { "id": "task1420-07bb1427cf7f408cba9c98a5614154d7", "input": "Problem: if jake loses 8 pounds , he will weigh twice as much as his sister . together they now weigh 278 pounds . what is jake ’ s present weight , in pounds ? \nOptions: a ) 131 , b ) 135 , c ) 139 , d ) 147 , e ) 188", "output": [ "e" ] }, { "id": "task1420-929286f9ace0408dbb242723f73f2a64", "input": "Problem: x varies inversely as square of y . given that y = 2 for x = 1 . the value of x for y = 6 will be equal to : \nOptions: a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 5 , d ) 1 / 9 , e ) 1 / 3", "output": [ "d" ] }, { "id": "task1420-e829f6e965fe4e859a93b9feaad46450", "input": "Problem: john purchased 1300 large bottles at $ 1.89 per bottle and 750 small bottles at $ 1.38 per bottle . what was the approximate average price paid per bottle ? \nOptions: a ) $ 1.63 , b ) $ 1.64 , c ) $ 1.68 , d ) $ 1.70 , e ) $ 1.76", "output": [ "d" ] }, { "id": "task1420-5ad8c04931d04093a10017496b707db6", "input": "Problem: country x taxes each of its citizens an amount equal to 13 percent of the first $ 40,000 of income , plus 20 percent of all income in excess of $ 40,000 . if a citizen of country x is taxed a total of $ 8,000 , what is her income ? \nOptions: a ) $ 54,000 , b ) $ 56,000 , c ) $ 64,000 , d ) $ 66,667 , e ) $ 80,000", "output": [ "a" ] }, { "id": "task1420-a5ec7e99da1b4675a9125a533a8a2d1f", "input": "Problem: what is the smallest number which , when increased by 7 , is divisible by 7 , 8 , and 24 ? \nOptions: a ) 154 , b ) 161 , c ) 168 , d ) 175 , e ) 182", "output": [ "b" ] }, { "id": "task1420-3fa3b6f298cf48ae893560a95ecbdb89", "input": "Problem: the average weight of a , b and c is 45 kg . if the average weight of a and b be 40 kg and that of b and c be 43 kg , then the weight of b is ? \nOptions: a ) 24 kg , b ) 62 kg , c ) 34 kg , d ) 31 kg , e ) 37 kg", "output": [ "d" ] }, { "id": "task1420-5a2aeb68e28c41fb91b342d4338af87e", "input": "Problem: the total car population in a chennai is 9000 out of which 5000 are made by honda . out of every 100 honda cars , 90 are red in color , but only 60 % of the total car population is red . find the % of non - honda cars that are red \nOptions: a ) 22.5 % , b ) 21.5 % , c ) 20.5 % , d ) 12.5 % , e ) 10.5 %", "output": [ "a" ] }, { "id": "task1420-f40adcc6c3a7422ba306ff92065de139", "input": "Problem: find 4 + 7 + 10 + 13 + 16 + . . . up to 20 terms \nOptions: a ) 650 , b ) 640 , c ) 630 , d ) 620 , e ) 610", "output": [ "a" ] }, { "id": "task1420-6bf7426834e240f6a7d61fa23639b746", "input": "Problem: during a certain two - week period , 70 percent of the movies rented from a video store were comedies , and of the remaining movies rented , there were 5 times as many dramas as action movies . if no other movies were rented during that two - week period and there were a action movies rented , then how many comedies , in terms of a , were rented during that two - week period ? \nOptions: a ) a / 14 , b ) 5 a / 7 , c ) 7 a / 5 , d ) 14 a , e ) 35 a", "output": [ "d" ] }, { "id": "task1420-95ab95b6b802490f8303cded00f2276c", "input": "Problem: a company charges a fixed rental of rs . 350 per month . it allows 200 calls free per month . each call is charge at rs . 1.4 when the number of calls exceed 200 per month and it charges rs . 1.6 when the number of calls exceeds 400 per month and so on . a customer made 150 calls in february and 250 calls in march . by how much percent each call is cheaper in march than each call in february . \nOptions: a ) 28 % , b ) 25 % , c ) 18.5 % , d ) 16 % , e ) none of these", "output": [ "a" ] }, { "id": "task1420-6ae6e9bd4601455d9c9b7a29f23d0655", "input": "Problem: a certain animal in the zoo has consumed 39 pounds of food in 6 days . if it continues to eat at the same rate , in how many more days will its total consumption be 117 pounds ? \nOptions: a ) 8 , b ) 7 , c ) 12 , d ) 9 , e ) none of the above", "output": [ "c" ] }, { "id": "task1420-ba9199fe7f52467295ef2c5d09713633", "input": "Problem: how many of the integers between 45 and 105 are even ? \nOptions: a ) 21 , b ) 30 , c ) 11 , d ) 10 , e ) 9", "output": [ "b" ] }, { "id": "task1420-f62c97171a9c4f5e88976e5e55352af4", "input": "Problem: ages of two persons differ by 4 years . if 3 years ago , the elder one was 3 times as old the younger one , find their present age \nOptions: a ) 5,9 , b ) 14,18 , c ) 16,20 , d ) 18,22 , e ) 19,23", "output": [ "a" ] }, { "id": "task1420-22e18244bb8c4065a2de6bdb0c813ced", "input": "Problem: in a market , a dozen eggs cost as much as a pound of rice , and a half - liter of kerosene costs as much as 8 eggs . if the cost of each pound of rice is $ 0.33 , then how many w cents does a liter of kerosene cost ? [ one dollar has 100 cents . ] \nOptions: a ) 0.33 , b ) 0.44 , c ) 0.55 , d ) 44 , e ) 55", "output": [ "d" ] }, { "id": "task1420-c7ba3bef55dc416c8c2e91321fb48056", "input": "Problem: if x is a positive integer , then the least value of x for which x ! is divisible by 100000 is ? can someone please explain intuitively what the question is asking ? \nOptions: a ) 5 , b ) 9 , c ) 12 , d ) 20 , e ) 30", "output": [ "d" ] }, { "id": "task1420-38b1455fe87a4a27b423ea60807522a2", "input": "Problem: the average mark of the students of a class in a particular exam is 65 . if 5 students whose average mark in that exam is 20 are excluded , the average mark of the remaining will be 90 . find the number of students who wrote the exam . \nOptions: a ) 14 , b ) 25 , c ) 35 , d ) 45 , e ) 55", "output": [ "a" ] }, { "id": "task1420-339e8d59ef6b469a9846e35126863674", "input": "Problem: x + y = 19 , and x + 3 y = 1 . find the value of x + 2 y \nOptions: a ) 20 , b ) 18 , c ) 11 , d ) 10 , e ) 5", "output": [ "d" ] }, { "id": "task1420-352fe2ac048b4eb9aec9ef76159b3aca", "input": "Problem: a number x is 6 times another number y . the percentage that y is less than x is \nOptions: a ) 12.5 % , b ) 83.3 % , c ) 80 % , d ) 11 % , e ) 1 %", "output": [ "b" ] }, { "id": "task1420-b2ff3b0f0a0a4008baac784efad25a93", "input": "Problem: the cost of 2 chairs and 3 tables is rs . 1500 . the cost of 3 chairs and 2 tables is rs . 1200 . the cost of each table is more than that of each chair by ? \nOptions: a ) 228 , b ) 287 , c ) 277 , d ) 188 , e ) 300", "output": [ "e" ] }, { "id": "task1420-b3f43686dd1f4292bc16ba264abd4fea", "input": "Problem: if m is the average ( arithmetic mean ) of the first 10 positive multiples of 3 and if m is the median of the first 10 positive multiples of 3 , what is the value of m – m ? \nOptions: a ) – 5 , b ) 5 , c ) 0 , d ) 25 , e ) 27.5", "output": [ "c" ] }, { "id": "task1420-3c918582b0b044908784a16df4307f43", "input": "Problem: if a certain computer is capable of printing 4700 monthly credit card bills per hour , while a new model is capable of printing at a rate of 6800 per hour , the old model will take approximately how much longer than the new model to print 10000 bills ? \nOptions: a ) 19 mins , b ) 29 mins , c ) 39 mins , d ) 38 mins , e ) 37 mins", "output": [ "c" ] }, { "id": "task1420-d69d748049eb4cd09e7833c6c12cdb7e", "input": "Problem: what is the units digit of 17 ^ 73 × 13 ^ 82 × 11 ^ 87 ? \nOptions: a ) 4 , b ) 5 , c ) 6 , d ) 7 , e ) 8", "output": [ "e" ] }, { "id": "task1420-ce6a081d75c4446eb2ff64f357844520", "input": "Problem: if p ( a ) = 2 / 15 , p ( b ) = 4 / 15 , and p ( a ∪ b ) = 6 / 15 find p ( a | b ) \nOptions: a ) 1 / 2 , b ) 2 / 3 , c ) 3 / 2 , d ) 4 / 5 , e ) 4 / 7", "output": [ "c" ] }, { "id": "task1420-c9934a0168dc4e328399bec9052ff46e", "input": "Problem: rs . 900 is divided among maya , annie , saiji so that maya receives half as much as annie and annie half as much as saiji . then saiji ’ s share is : \nOptions: a ) rs . 200 , b ) rs . 300 , c ) rs . 400 , d ) rs . 600 , e ) rs . 500", "output": [ "c" ] }, { "id": "task1420-5950bc712b3c4c9ca15fd77ab6c1a2c9", "input": "Problem: in a class of 25 students in an examination in maths 3 students scored 95 marks each , 3 get zero each and the average of the rest was 45 . what is the average of the whole class ? \nOptions: a ) 47 , b ) 45.6 , c ) 44 , d ) 48 , e ) 49", "output": [ "b" ] }, { "id": "task1420-5a3cf7de8fbc471c8551bc794509386b", "input": "Problem: the product of a and b is equal to 12 more than twice the sum of a and b . if b = 10 , what is the value of b - a ? \nOptions: a ) 2 , b ) 5 , c ) 7 , d ) 6 , e ) 35", "output": [ "d" ] }, { "id": "task1420-af2dc99907094207b0fce8425e5fae6c", "input": "Problem: in one year , the population , of a village increased by 20 % and in the next year , it decreased by 20 % . if at the end of 2 nd year , the population was 9600 , what was it in the beginning ? \nOptions: a ) 10000 , b ) 8000 , c ) 1988 , d ) 1277 , e ) 2081", "output": [ "a" ] }, { "id": "task1420-a0b9ebf1164d4e7a8ec0f49fdbe072f2", "input": "Problem: if sharon ' s weekly salary increased by 15 percent , she would earn $ 575 per week . if instead , her weekly salary were to decreased by 12 percent , how much would she earn per week ? \nOptions: a ) rs . 540 , b ) rs . 580 , c ) rs . 560 , d ) rs . 620 , e ) rs . 650", "output": [ "c" ] }, { "id": "task1420-673de2c0c1964c6cb1af3dc845ffa5bf", "input": "Problem: taequan is playing a dice game where he rolls two , fair , 6 - sided dice twice . if he gets the same roll on his second try as his first , he wins . if he rolled an 8 on his first try , what is the probability that he will win with his second roll ? \nOptions: a ) 1 / 18 , b ) 1 / 12 , c ) 1 / 9 , d ) 1 / 6 , e ) 5 / 36", "output": [ "e" ] }, { "id": "task1420-900ab21fc4b0496092c1b8defe995efd", "input": "Problem: what is the lowest positive integer that is divisible by 4 through 6 , inclusive ? \nOptions: a ) 120 , b ) 48 , c ) 82 , d ) 76 , e ) 160", "output": [ "a" ] }, { "id": "task1420-6b3cfa7758654442b6ee653bef896ac9", "input": "Problem: how many numbers are divisible by 4 between 1 and 100 . \nOptions: a ) 24 , b ) 23 , c ) 22 , d ) 21 , e ) 25", "output": [ "a" ] }, { "id": "task1420-3a58620a644e41eba192c078607dd581", "input": "Problem: what is the least value of x . so that 23 x 57 is divisible by 3 . \nOptions: a ) 2 , b ) 0 , c ) 1 , d ) 3 , e ) 4", "output": [ "c" ] }, { "id": "task1420-a899c33fa0c24f548f9c27d53c8f32d3", "input": "Problem: a sporting goods store sold 60 frisbees in one week , some for $ 3 and the rest for $ 4 each . if receipts from frisbee sales for the week totaled $ 204 , what is the fewest number of $ 4 frisbees that could have been sold ? \nOptions: a ) 24 , b ) 12 , c ) 8 , d ) 4 , e ) 2", "output": [ "a" ] }, { "id": "task1420-46eb967b05de4ac2a332b98ddb363250", "input": "Problem: a student got 71 % in math and 81 % in history . to get an overall average of 75 % , how much should the student get in the third subject ? \nOptions: a ) 63 % , b ) 75 % , c ) 77 % , d ) 79 % , e ) 81 %", "output": [ "a" ] }, { "id": "task1420-8ca13e744dfa4bbaacf6ee12f55b6ae9", "input": "Problem: a & b started a partnership business . a ' s investment was thrice the investment of b and the period of his investment was two times the period of investments of b . if b received rs 3000 as profit , what is their total profit ? \nOptions: a ) 21000 , b ) 30000 , c ) 32000 , d ) 34000 , e ) none of these", "output": [ "a" ] }, { "id": "task1420-35031e5fd33247a4b5d3d4adda49b467", "input": "Problem: a charitable association sold an average of 66 raffle tickets per member . among the female members , the average was 70 raffle tickets . the male to female ratio of the association is 1 : 2 . what was the average number t of tickets sold by the male members of the association \nOptions: a ) 50 , b ) 56 , c ) 58 , d ) 62 , e ) 66", "output": [ "c" ] }, { "id": "task1420-5e619dbe508f441cba371f49fe128b8b", "input": "Problem: i chose a number and divide it by 8 . then i subtracted 100 from the result and got 6 . what was the number i chose ? \nOptions: a ) 600 , b ) 700 , c ) 800 , d ) 900 , e ) 848", "output": [ "e" ] }, { "id": "task1420-2358eefca69441baac5760851e6b850d", "input": "Problem: at the wholesale store you can buy an 8 - pack of hot dogs for $ 1.55 , a 20 - pack for $ 3.05 , and a 250 - pack for $ 22.95 . what is the greatest number of hot dogs you can buy at this store with $ 203 ? \nOptions: a ) 1,108 , b ) 2,100 , c ) 2,108 , d ) 2,120 , e ) 2,256", "output": [ "d" ] }, { "id": "task1420-768bb866f8434c49a5d080c415dbce0b", "input": "Problem: in a certain accounting class of 90 students , 70 % of the students took the final exam on the assigned day while the rest of the students took the exam on a make - up date . if the students on the assigned day had an average score of 65 % , and the students on the make - up date had an average score of 85 % , what was the average score for the entire class ? \nOptions: a ) 68 % , b ) 71 % , c ) 73 % , d ) 75 % , e ) 79 %", "output": [ "b" ] }, { "id": "task1420-c4acdfb2cc4845e18f57762ec91f3470", "input": "Problem: dacid obtained 51 , 65 , 82 , 67 and 85 marks ( out of 100 ) in english , mathematics , physics , chemistry and biology . what are his average marks ? \nOptions: a ) 29 , b ) 38 , c ) 39 , d ) 70 , e ) 75", "output": [ "d" ] }, { "id": "task1420-a7e1c22fdfa945b98e770662f3161d27", "input": "Problem: when the positive integer a is divided by 11 , the quotient is b and the remainder 3 . when a is divided by 19 , the remainder is also 3 . what is the remainder when b is divided by 19 ? \nOptions: a ) 4 , b ) 3 , c ) 2 , d ) 1 , e ) 0", "output": [ "e" ] }, { "id": "task1420-fe10c44bb5e8455abac9d61e159520cd", "input": "Problem: a cement mixture is composed of 3 elements . by weight , 1 / 3 of the mixture is sand , 1 / 2 of the mixture is water , and the remaining 8 pounds of the mixture is gravel . what is the weight of the entire mixture in pounds ? \nOptions: a ) 30 , b ) 36 , c ) 42 , d ) 46 , e ) 48", "output": [ "e" ] }, { "id": "task1420-c52b920d2dca4ac7b1e90d408d9a9a08", "input": "Problem: a set consists of 12 numbers , all are even or multiple of 5 . if 4 numbers are even and 10 numbers are multiple of 5 , how many numbers is multiple of 10 ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 5", "output": [ "c" ] }, { "id": "task1420-65f6deca3e1a4072afc004fe04fdeb67", "input": "Problem: when 5 is added to half of one - third of one - fifth of a number , the result is one - fifteenth of the number . find the number ? \nOptions: a ) 32 , b ) 150 , c ) 60 , d ) 27 , e ) 11", "output": [ "b" ] }, { "id": "task1420-6954e0839af94a3d8e5344369cc3da83", "input": "Problem: what could be the range of a set consisting of odd multiples of 7 ? \nOptions: a ) 21 , b ) 24 , c ) 35 , d ) 62 , e ) 70", "output": [ "e" ] }, { "id": "task1420-0d2e30a5c88a42a98312e7b898e3673a", "input": "Problem: the average salary of a person for the months of january , february , march and april is rs . 8000 and that for the months february , march , april and may is rs . 9500 . if his salary for the month of may is rs . 6500 , find his salary for the month of january ? \nOptions: a ) rs . 500 , b ) rs . 600 , c ) rs . 700 , d ) rs . 1500 , e ) rs . 2500", "output": [ "a" ] }, { "id": "task1420-0bc07842d2874f0ab629edd387205d1a", "input": "Problem: the average of first 18 natural numbers is ? \nOptions: a ) 5.6 , b ) 9.5 , c ) 9.1 , d ) 9.8 , e ) 5.2", "output": [ "b" ] }, { "id": "task1420-8fa746c2fe904f34b70ccb58ac44161f", "input": "Problem: the average height of 35 boys in a class was calculated as 180 cm . it has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm . find the actual average height of the boys in the class ( round off your answer to two decimal places ) . \nOptions: a ) 178.89 cm , b ) 178.29 cm , c ) 178.79 cm , d ) 177.89 cm , e ) 178.69 cm", "output": [ "b" ] }, { "id": "task1420-4cf979c6675d41ba83d58fe993474968", "input": "Problem: find the constant k so that : - x 2 - ( k + 9 ) x - 8 = - ( x - 2 ) ( x - 4 ) \nOptions: a ) 11 , b ) 12 , c ) 15 , d ) 14 , e ) 19", "output": [ "c" ] }, { "id": "task1420-408cf2a1056e4794884f328fa69b6746", "input": "Problem: what is the sum of mean and median of 17 , 45 , 59 , 113 , 76 , 95 , 59 , 35 , 1236 ? \nOptions: a ) 50.2 , b ) 45.8 , c ) 54.7 , d ) 61.8 , e ) 10.5", "output": [ "c" ] }, { "id": "task1420-1638e4527a844d609715d6cf66ed5bab", "input": "Problem: a certain elevator has a safe weight limit of 2,500 pounds . what is the greatest possible number of people who can safely ride on the elevator at one time with the average ( arithmetic mean ) weight of half the riders being 150 pounds and the average weight of the others being 160 pounds ? \nOptions: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 16", "output": [ "e" ] }, { "id": "task1420-e6b8ecce1cbd4799ab7b14b3399e79e2", "input": "Problem: the expression x # y denotes the product of the consecutive multiples of 3 between x and y , inclusive . what is the sum of the exponents in the prime factorization of 21 # 42 ? \nOptions: a ) 23 , b ) 24 , c ) 25 , d ) 26 , e ) 27", "output": [ "a" ] }, { "id": "task1420-83b9dc6c87b943d49062940f6e70c0c7", "input": "Problem: how many two - digit whole numbers yield a remainder of 2 when divided by 12 and also yield a remainder of 2 when divided by 6 ? \nOptions: a ) none , b ) five , c ) six , d ) seven , e ) eight", "output": [ "c" ] }, { "id": "task1420-150f10a5ca1b4b14ba530db350656ec0", "input": "Problem: two numbers a and b are such that the sum of 5 % of a and 2 % of b is two - third of the sum of 6 % of a and 8 % of b . find the ratio of a : b . \nOptions: a ) 2 : 1 , b ) 1 : 2 , c ) 4 : 3 , d ) 10 : 3 , e ) 3 : 2", "output": [ "d" ] }, { "id": "task1420-4057f32b9dcf4890864d511187ef346e", "input": "Problem: how many digits will be there to the right of the decimal point in the product of 95 and . 02554 ? \nOptions: a ) 6 , b ) 7 , c ) 4 , d ) 5 , e ) 8", "output": [ "c" ] }, { "id": "task1420-14b880aa8ca54c6fade8706c5e3c19af", "input": "Problem: marts income is 40 percent more than tims income and tims income is 40 percent less than juans income . what percentage of juans income is marts income \nOptions: a ) 124 % , b ) b ) 120 % , c ) c ) 96 % , d ) d ) 80 % , e ) e ) 84 %", "output": [ "e" ] }, { "id": "task1420-a16bf6cea86d49a6adcb2b5467c3e024", "input": "Problem: 15 51 216 1100 ? 46452 \nOptions: a ) 6630 , b ) 6650 , c ) 6560 , d ) 6530 , e ) none of these", "output": [ "a" ] }, { "id": "task1420-18c97314ddd742b5b8efa40d15e4cffa", "input": "Problem: what is the sum of all possible solutions to | x - 4 | ^ 2 + | x - 4 | = 12 ? \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "e" ] }, { "id": "task1420-7cb195455819486dbb2340aa4c65718a", "input": "Problem: the maximum numbers of students among them 451 pens and 410 toys can be distributed in such a way that each student gets the same number of pens and same number of toys is \nOptions: a ) 41 , b ) 910 , c ) 1001 , d ) 1911 , e ) none", "output": [ "a" ] }, { "id": "task1420-79df74043cce49e18f7ce5872fc61719", "input": "Problem: the average age of a class of 20 students is 19 years . the average increased by 2 when the teacher ' s age also included . what is the age of the teacher ? \nOptions: a ) 40 years , b ) 41 years , c ) 42 years , d ) 43 years , e ) 44 years", "output": [ "b" ] }, { "id": "task1420-d2f3eae464b94d6db0b1f86c08a60b3a", "input": "Problem: calculate 56581 ÷ ? = 137 \nOptions: a ) 113 , b ) 213 , c ) 413 , d ) 417 , e ) 414", "output": [ "c" ] }, { "id": "task1420-7cab8f5b70fc4c5787ff44f07b70545e", "input": "Problem: set # 1 = { a , b } set # 2 = { k , l , m , n , o , p } there are these two sets of letters , and you are going to pick exactly one letter from each set . what is the probability of picking at least one vowel ? \nOptions: a ) 1 / 6 , b ) 1 / 3 , c ) 7 / 12 , d ) 2 / 3 , e ) 5 / 6", "output": [ "c" ] }, { "id": "task1420-70fe6031399f46f2b43748ff1f586aa4", "input": "Problem: there are 59 people that own pets . 15 people own only dogs , 10 people own only cats , 5 people own only cats and dogs , 3 people own cats , dogs and snakes . how many total snakes are there ? \nOptions: a ) 2 , b ) 4 , c ) 8 , d ) 29 , e ) 32", "output": [ "d" ] }, { "id": "task1420-6ca908221b974533b6432f88776c97c9", "input": "Problem: if 6 years are subtracted from the present age of arun and the remainder is divided by 18 , then the present age of his grandson gokul is obtained . if gokul is 2 years younger to madan whose age is 5 years , then what is the age of arun ? \nOptions: a ) 48 , b ) 60 , c ) 84 , d ) 96 , e ) 69", "output": [ "b" ] }, { "id": "task1420-4f1b2b4bad9848b3adc1af29bfc87e08", "input": "Problem: a pharmaceutical company received $ 7 million in royalties on the first $ 20 million in sales of the generic equivalent of one of its products and then $ 9 million in royalties on the next $ 108 million in sales . by approximately what percent did the ratio of royalties to sales decrease from the first $ 20 million in sales to the next $ 108 million in sales ? \nOptions: a ) 8 % , b ) 15 % , c ) 45 % , d ) 52 % , e ) 76 %", "output": [ "e" ] }, { "id": "task1420-dc2d13f36b34422e8a37188393eb2dcb", "input": "Problem: simplify : 0.6 * 0.6 + 0.6 * 0.6 \nOptions: a ) 0.52 , b ) 0.42 , c ) 0.48 , d ) 0.64 , e ) 0.46", "output": [ "e" ] }, { "id": "task1420-7e7b56fbd87f40ca9e72b872d1b8646c", "input": "Problem: if x = 1 / q and y = ( 2 / q ) - 6 , then for what value of q , x is equal to y ? \nOptions: a ) 1 / 3 , b ) 1 / 6 , c ) 6 , d ) 3 , e ) 2", "output": [ "b" ] }, { "id": "task1420-2b416cf2affa47bd8b8fcce11aa98755", "input": "Problem: a student is ranked 13 th from right and 8 th from left . how many are there ? \nOptions: a ) 18 , b ) 19 , c ) 20 , d ) 21 , e ) 22", "output": [ "c" ] }, { "id": "task1420-241e2ceb08914c0cb92aa353cd024495", "input": "Problem: ashok secured average of 75 marks in 6 subjects . if the average of marks in 5 subjects is 74 , how many marks did he secure in the 6 th subject ? \nOptions: a ) 38 , b ) 27 , c ) 99 , d ) 17 , e ) 80", "output": [ "e" ] }, { "id": "task1420-92217778ed8c41829c8ad3a55ca4445b", "input": "Problem: let s be the set of all positive integers that , when divided by 8 , have a remainder of 5 . what is the 75 th number in this set ? \nOptions: a ) 597 , b ) 608 , c ) 613 , d ) 616 , e ) 621", "output": [ "a" ] }, { "id": "task1420-f1d5ffb06726419ca3a58f6d4668fad3", "input": "Problem: the jogging track in a sports complex is 627 m in circumference . deepak and his wife start from the same point and walk in opposite directions at 4.5 km / hr and 3.75 km / hr respectively . they will meet for the first time in ? \nOptions: a ) 4.56 min , b ) 5.28 min , c ) 5.08 min , d ) 9.28 min , e ) 5.988 min", "output": [ "a" ] }, { "id": "task1420-a572d2ca56b04f6fa3acd7fb85742a18", "input": "Problem: yearly subscription to professional magazines cost a company $ 940.00 . to make a 50 % cut in the magazine budget , how much less must be spent ? \nOptions: a ) 654 , b ) 655 , c ) 656 , d ) 657 , e ) 470", "output": [ "e" ] }, { "id": "task1420-a63bc8859a7743d1a8c1a501e4412857", "input": "Problem: a large field of 700700 hectares is divided into two parts . the difference of the areas of the two parts is one - fifth of the average of the two areas . what is the area of the smaller part in hectares ? \nOptions: a ) 400 , b ) 365 , c ) 385 , d ) 315 , e ) 355", "output": [ "d" ] }, { "id": "task1420-a998d9a5d2564589a7f7042dc29009c2", "input": "Problem: a person spends 1 / 3 rd of the money with him on clothes , 1 / 5 th of the remaining on food and 1 / 4 th of the remaining on travel . now , he is left with rs 300 . how much did he have with him in the beginning ? \nOptions: a ) s 200 , b ) s 750 , c ) s 300 , d ) s 450 , e ) s 550", "output": [ "b" ] }, { "id": "task1420-4366e95a6d0840868ab0fe66b56a5584", "input": "Problem: find the sum the difference between the compound and s . i . on a certain sum of money for 4 years at 20 % per annum is rs . 50 of money ? \nOptions: a ) 1000 , b ) 6000 , c ) 5000 , d ) 8000 , e ) 1900", "output": [ "a" ] }, { "id": "task1420-113946e3d16347389c22cf772f54800f", "input": "Problem: a person spends 1 / 3 rd of the money with him on clothes , 1 / 5 th of the remaining on food and 1 / 4 th of the remaining on travel . now , he is left with rs 500 . how much did he have with him in the beginning ? \nOptions: a ) s 200 , b ) s 1250 , c ) s 300 , d ) s 450 , e ) s 550", "output": [ "b" ] }, { "id": "task1420-01957c9b9d66460caa0e61a8894e74f4", "input": "Problem: what is the value of 3 x ^ 2 − 1.8 x + 0.8 for x = 0.6 ? \nOptions: a ) − 0.3 , b ) 0.8 , c ) 0.3 , d ) 1.08 , e ) 2.46", "output": [ "b" ] }, { "id": "task1420-a10902108f084ce0af2185e5f0a7fcc0", "input": "Problem: 3 maths classes : a , b and c take an algebra test . the average score of class a is 83 . the average score of class b is 76 . the average score of class c is 85 . the average score of class a and b is 79 and average score of class b and c is 81 . what is the average score of classes a , b , c ? \nOptions: a ) 81.8 , b ) 81.1 , c ) 81.2 , d ) 81.5 , e ) 81.9", "output": [ "d" ] }, { "id": "task1420-6090f027aea64b96a4087125af20f07e", "input": "Problem: if the average ( arithmetic mean ) of x + 1 , x + 5 , and x + 9 is 0 , then x = \nOptions: a ) – 5 , b ) – 4 , c ) – 2 , d ) – 1 , e ) 0", "output": [ "a" ] }, { "id": "task1420-55b7f7d4bab94cbea67a612584e8d599", "input": "Problem: what is the remainder when 7 ^ 700 is divided by 100 ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "a" ] }, { "id": "task1420-6d5bccdc92254201bc08690585c9c2f1", "input": "Problem: the sum of a number and the number preceding it is 33 . by how much is two less than 6 times the number ? \nOptions: a ) 196 , b ) 94 , c ) 90 , d ) 100 , e ) 120", "output": [ "d" ] }, { "id": "task1420-834782d5e5ec421b9937e5cc8a18b610", "input": "Problem: what is the value of 3 x ^ 2 − 1.8 x + 0.5 for x = 0.6 ? \nOptions: a ) − 0.3 , b ) 0 , c ) 0.3 , d ) 1.08 , e ) 0.5", "output": [ "e" ] }, { "id": "task1420-bafd87f360d846fbb2adac4beae3e27d", "input": "Problem: given f ( x ) = 3 x – 5 , for what value of x does 2 * [ f ( x ) ] – 19 = f ( x – 4 ) ? \nOptions: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 10", "output": [ "b" ] }, { "id": "task1420-e8047aa965d848f9a479fc56fee453bd", "input": "Problem: how many zeroes are there at the end of the number n , if n = 80 ! + 160 ! ? \nOptions: a ) 15 , b ) 19 , c ) 23 , d ) 27 , e ) 31", "output": [ "b" ] }, { "id": "task1420-159619a475ca47809508d0dd0a9b1872", "input": "Problem: 10 play kabadi , 35 play kho kho only , 5 play both gmaes . then how many in total ? \nOptions: a ) 30 , b ) 35 , c ) 38 , d ) 40 , e ) 45", "output": [ "e" ] }, { "id": "task1420-9418f81228c449ff9d55e2231c6165c8", "input": "Problem: a mixture of 150 liters of wine and water contains 15 % water . how much more water should be added so that water becomes 25 % of the new mixture ? \nOptions: a ) 10 , b ) 30 , c ) 20 , d ) 15 , e ) 17", "output": [ "c" ] }, { "id": "task1420-e440dfc85a4640c8b3f8bd72e92eb32a", "input": "Problem: what is the leastvalue of x . so that 45 x 09 is divisible by 3 ? \nOptions: a ) 0 , b ) 5 , c ) 2 , d ) 6 , e ) 7", "output": [ "a" ] }, { "id": "task1420-30168c395ab74d7eadff6806f6d9e178", "input": "Problem: if there are 200 questions in a 3 hr examination . among these questions are 100 type a problems , which requires twice as much as time be spent than the rest of the type b problems . how many minutes should be spent on type a problems ? \nOptions: a ) 72 min , b ) 62 min , c ) 70 min , d ) 74 min , e ) 120 min", "output": [ "e" ] }, { "id": "task1420-8f1ef7bfa69047d2844706b8a7bdb8e5", "input": "Problem: among 250 viewers interviewed who watch at least one of the 3 tv channels namely a , bc . 116 watch a , 127 watch c , while 107 watch b . if 90 watch exactly two channels . how many watch exactly one channel ? \nOptions: a ) 155 , b ) 160 , c ) 175 , d ) 190 , e ) 195", "output": [ "a" ] }, { "id": "task1420-498c1bbc7f2942aeb2307bc534daa5f0", "input": "Problem: how many three digit numbers r are divisible by 78 or 91 ? \nOptions: a ) 17 , b ) 19 , c ) 20 , d ) 21 , e ) 22", "output": [ "b" ] }, { "id": "task1420-8897b6d71bf34d3d92c1fc20ce5a4b66", "input": "Problem: the sum of the first n positive perfect squares , where n is a positive integer , is given by the formula n ^ 3 / 3 + c * n ^ 2 + n / 6 , where c is a constant . what is the sum of the first 17 positive perfect squares ? \nOptions: a ) 1,010 , b ) 1,164 , c ) 1,240 , d ) 1,316 , e ) 1,785", "output": [ "e" ] }, { "id": "task1420-4cf34e5519694b3e92a041f15b9ac18e", "input": "Problem: when positive integer n is divided by positive integer j , the remainder is 10 . if n / j = 134.08 , what is value of j ? \nOptions: a ) 125 , b ) 56 , c ) 78 , d ) 112 , e ) 175", "output": [ "a" ] }, { "id": "task1420-a8858f63879044638710423f2af7e56b", "input": "Problem: at a certain fruit stand , the price of each apple is 40 cents and the price of each orange is 60 cents . mary selects a total of 20 apples and oranges from the fruit stand , and the average ( arithmetic mean ) price of the 20 pieces of fruit is 56 cents . how many oranges must mary put back so that the average price of the pieces of fruit that she keeps is 52 cents ? \nOptions: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10", "output": [ "e" ] }, { "id": "task1420-e3fa4fc9bfdf4ab5bf6d78fe103efad1", "input": "Problem: if the average ( arithmetic mean ) of x + 2 , x + 3 , and x + 4 is 0 , then x = \nOptions: a ) – 4 , b ) – 3 , c ) – 2 , d ) – 1 , e ) 0", "output": [ "b" ] }, { "id": "task1420-b002e825cad14d4895537550b22aa37e", "input": "Problem: a , b and c invest in the ratio of 3 : 4 : 5 . the percentage of return on their investments are in the ratio of 6 : 5 : 4 . find the total earnings , if b earns rs . 350 more than a : \nOptions: a ) 10150 , b ) 7250 , c ) 2767 , d ) 1998 , e ) 2771", "output": [ "a" ] }, { "id": "task1420-2da87f25d582434b8fb56f6569fb4cfc", "input": "Problem: a bag of potatoes weighs 12 lbs divided by half of its weight . how much does the bag of potatoes weight ? \nOptions: a ) 20 lb , b ) 18 lb , c ) 12 lb , d ) 15 lb , e ) 5 lb", "output": [ "c" ] }, { "id": "task1420-71d433ee7f93492a90e80f1d4bad663d", "input": "Problem: a cricketer scored 142 runs which included 12 boundaries and 2 sixes . what percent of his total score did he make by running between the wickets . \nOptions: a ) 57.75 % , b ) 54.54 % , c ) 63 % , d ) 70 % , e ) none of these", "output": [ "a" ] }, { "id": "task1420-384cd3fc34e444cfa2c0a17499cbe7ec", "input": "Problem: if p is the product of the integers from 1 to 32 , inclusive , what is the greatest integer k for which 3 ^ k is a factor of p ? \nOptions: a ) 10 , b ) 12 , c ) 14 , d ) 16 , e ) 18", "output": [ "c" ] }, { "id": "task1420-eb88c027fccd4cc081e080605f648215", "input": "Problem: george went to a fruit market with certain amount of money . with this money he can buy either 50 oranges or 40 mangoes . he retains 10 % of the money for taxi fare and buys 10 mangoes . how many oranges can he buy ? \nOptions: a ) 25 , b ) 30 , c ) 20 , d ) 16 , e ) 12", "output": [ "c" ] }, { "id": "task1420-286f6569e5ec4984ac21dc9d736a30b2", "input": "Problem: the average of 10 numbers is calculated as 15 . it is discovered later on that while calculating the average one number , namely 36 was wrongly read as 26 . the correct average is : \nOptions: a ) 12.4 , b ) 14 , c ) 16 , d ) 18.6 , e ) none of these", "output": [ "c" ] }, { "id": "task1420-7741d27b7bff456bb8ffc746fb1a40ff", "input": "Problem: if n is an integer , f ( n ) = f ( n - 1 ) - n and f ( 4 ) = 12 . what is the value of f ( 6 ) ? \nOptions: a ) 1 , b ) 0 , c ) - 1 , d ) 2 , e ) 4", "output": [ "a" ] }, { "id": "task1420-0d117fab9fb548abb247bfa4d89784cb", "input": "Problem: if { x } is the product of all even integers from 1 to x inclusive , what is the greatest prime factor of { 26 } + { 24 } ? \nOptions: a ) 23 , b ) 20 , c ) 27 , d ) 5 , e ) 2", "output": [ "c" ] }, { "id": "task1420-32b6b82ad74e46b0ae3bf55c99846acc", "input": "Problem: what will be the reminder when ( 27 ^ 27 + 27 ) is divided by 28 ? \nOptions: a ) 92 , b ) 43 , c ) 71 , d ) 26 , e ) 31", "output": [ "d" ] }, { "id": "task1420-3f746fd10b374e2cae9f24b7c0b772eb", "input": "Problem: barbata invests $ 2400 in the national bank at 4 % . how much additional money must she invest at 8 % so that the total annual income will be equal to 6 % of her entire investment ? \nOptions: a ) 1200 , b ) 3000 , c ) 2400 , d ) 3600 , e ) 2450", "output": [ "c" ] }, { "id": "task1420-8ca1a6821bc5445798a2a2c3afde343a", "input": "Problem: if 3 a – 2 b – 2 c = 32 and √ 3 a - √ ( 2 b + 2 c ) = 5 , what is the value of a + b + c ? \nOptions: a ) 3 , b ) 9 , c ) 10 , d ) 12 , e ) 14", "output": [ "b" ] }, { "id": "task1420-328ddb50e32d448a84d20d444488e027", "input": "Problem: what is the greatest positive integer x such that 2 ^ x is a factor of 8 ^ 10 ? \nOptions: a ) 5 , b ) 9 , c ) 10 , d ) 20 , e ) 30", "output": [ "e" ] }, { "id": "task1420-aaf08042532c4d6d9793d057ef0dda5f", "input": "Problem: the difference between a number and its three - fifth is 50 . what is the number ? \nOptions: a ) 185 , b ) 190 , c ) 160 , d ) 120 , e ) 125", "output": [ "e" ] }, { "id": "task1420-5069316cc5dd4457a30d59bfefe5ef42", "input": "Problem: if 100 < x < 199 and 20 < y < 100 , then the product xy can not be equal to : \nOptions: a ) 1900 , b ) 19,303 , c ) 19 , 356.732 , d ) 19,502 , e ) 19,909", "output": [ "a" ] }, { "id": "task1420-0221a7e10fa7453cab0232fe41f2518f", "input": "Problem: if henry were to add 7 gallons of water to a tank that is already 3 / 4 full of water , the tank would be 7 / 8 full . how many gallons of water would the tank hold if it were full ? \nOptions: a ) 25 , b ) 40 , c ) 64 , d ) 80 , e ) 56", "output": [ "e" ] }, { "id": "task1420-100c3225deee4a6e9532c75f1c1739f1", "input": "Problem: you need to pick any number from ' 1 , 3 , 5 , 7 , 9 , 11 , 13 and 15 ' to make below equation true . ( ) + ( ) + ( ) = 30 can you solve it ? \nOptions: a ) 29 , b ) 30 , c ) 31 , d ) 32 , e ) 33", "output": [ "b" ] }, { "id": "task1420-9d9289f9df974538bd65dcee23a3fc46", "input": "Problem: what is the area inscribed by the lines y = 2 , x = 2 , y = 10 - x on an xy - coordinate plane ? \nOptions: a ) a ) 8 , b ) b ) 10 , c ) c ) 12 , d ) d ) 14 , e ) e ) 18", "output": [ "e" ] }, { "id": "task1420-6d26a08103fc4bb486aa745221d70a07", "input": "Problem: if a no . when divided by 44 , gives 432 as quotient and 0 as remainder . what will be the remainder when dividing the same no . by 38 \nOptions: a ) 1 , b ) 3 , c ) 5 , d ) 7 , e ) 8", "output": [ "e" ] }, { "id": "task1420-a2590611619641d5b9a3dea76e23318a", "input": "Problem: if the sales tax reduced from 3 1 / 2 % to 3 1 / 3 % , then what difference does it make to a person who purchases an article with market price of rs . 10800 ? \nOptions: a ) 11 , b ) 13 , c ) 14 , d ) 18 , e ) 10", "output": [ "d" ] }, { "id": "task1420-71bd9248d4cb4dd2aaf53002529be56d", "input": "Problem: what is the least integer greater than 1 + 0.5 ? \nOptions: a ) – 2 , b ) – 1 , c ) 0 , d ) 1 , e ) 2", "output": [ "e" ] }, { "id": "task1420-2d2b69e884b745cdafd1de1e92b9a96c", "input": "Problem: what is the smallest integer t greater than 1 that leaves a remainder of 1 when divided by any of the integers 6 , 8 , and 10 ? \nOptions: a ) 21 , b ) 41 , c ) t = 121 , d ) 241 , e ) 481", "output": [ "c" ] }, { "id": "task1420-7df5fdc4fcdf44c4ad5195c6933e732f", "input": "Problem: calculate 12351 ÷ ? = 69 \nOptions: a ) 179 , b ) 119 , c ) 129 , d ) 173 , e ) 156", "output": [ "a" ] }, { "id": "task1420-303cc285bd3a4f689d628d8b428397e6", "input": "Problem: if x : y is 1 : 5 and y : z is 5 : 7 then x : z is equal to \nOptions: a ) 1 : 6 , b ) 1 : 5 , c ) 1 : 4 , d ) 1 : 7 , e ) 1 : 3", "output": [ "d" ] }, { "id": "task1420-77ed43da2a6a4cb18efbc9c4cdfebaa5", "input": "Problem: if x and y are numbers such that ( x + 4 ) ( y - 4 ) = 0 , what is the smallest possible value of x ^ 2 + y ^ 2 \nOptions: a ) 0 , b ) 9 , c ) 12 , d ) 16 , e ) 18", "output": [ "d" ] }, { "id": "task1420-c12c2c74d841455fa23a9d733eb9f9c0", "input": "Problem: timothy drove at an average speed of 10 mph for some time and then at an average speed of 50 mph for the rest of the journey . if he made no stops during the trip and his average speed for the entire journey was 40 mph , for what fraction of the total time did he drive at 50 mph ? \nOptions: a ) 1 / 5 , b ) 1 / 3 , c ) 2 / 5 , d ) 3 / 4 , e ) 3 / 5", "output": [ "d" ] }, { "id": "task1420-fde8eff549a14398aeba32762e2bb0b0", "input": "Problem: a house wife saved $ 4 in buying an item on sale . if she spent $ 29 for the item , approximately how much percent she saved in the transaction ? \nOptions: a ) 8 % , b ) 9 % , c ) 10 % , d ) 11 % , e ) 12 %", "output": [ "e" ] }, { "id": "task1420-b2a4675790fc405f9e7a0d339a592d36", "input": "Problem: a certain car uses one gallon of gasoline every 32 miles when it travels on highway , and one gallon of gasoline every 20 miles when it travels in the city . when a car travels 4 miles on highway and 4 additional miles in the city , it uses what percent more gasoline than if it travels 8 miles on the highway ? \nOptions: a ) 15 % , b ) 20 % , c ) 22.5 % , d ) 25 % , e ) 30 %", "output": [ "e" ] }, { "id": "task1420-e4812fd2453a4a4bb2867c511203e9e2", "input": "Problem: a man purchased 3 blankets @ rs . 100 each , 5 blankets @ rs . 150 each and two blankets at a certain rate which is now slipped off from his memory . but he remembers that the average price of the blankets was rs . 157 . find the unknown rate of two blankets ? \nOptions: a ) 420 , b ) 550 , c ) 490 , d ) 450 , e ) 520", "output": [ "e" ] }, { "id": "task1420-3e03dbc92ac34bf9995a501de2cd9a05", "input": "Problem: marcella has 25 pairs of shoes . if she loses 9 individual shoes , what is the greatest number of matching pairs she could have left ? \nOptions: a ) 21 , b ) 20 , c ) 19 , d ) 16 , e ) 15", "output": [ "b" ] }, { "id": "task1420-5295e0b9dc664d929698b3307d1ab13a", "input": "Problem: $ 406 is divided among a , b , and c so that a receives half as much as b , and b receives half as much as c . how much money is c ' s share ? \nOptions: a ) $ 208 , b ) $ 216 , c ) $ 224 , d ) $ 232 , e ) $ 240", "output": [ "d" ] }, { "id": "task1420-1ab5575a553c47699e107d3cfff32708", "input": "Problem: last year manfred received 26 paychecks . each of his first 6 paychecks was $ 760 ; each of his remaining paychecks was $ 30 more than each of his first 6 paychecks . to the nearest dollar , what was the average ( arithmetic mean ) amount of his pay checks for the year ? \nOptions: a ) $ 752 , b ) $ 755 , c ) $ 765 , d ) $ 783 , e ) $ 775", "output": [ "d" ] }, { "id": "task1420-ebaf1a9c92fc42519c1f2e6caed50a3a", "input": "Problem: in a certain deck of cards , each card has a positive integer written on it , in a multiplication game a child draws a card and multiplies the integer on the card with the next large integer . if the each possible product is between 10 and 400 , then the least and greatest integer on the card would be \nOptions: a ) 3 and 15 , b ) 3 and 20 , c ) 4 and 13 , d ) 4 and 14 , e ) 5 and 14", "output": [ "b" ] }, { "id": "task1420-107862b93c0e4d6dab81e5e23bcfdb25", "input": "Problem: the average age of 4 men is increased by years when two of them whose ages are 21 years and 23 years are replaced by two new men . the average age of the two new men is \nOptions: a ) 22 , b ) 30 , c ) 99 , d ) 26 , e ) 27", "output": [ "d" ] }, { "id": "task1420-7132a3290fba4ffeb289f53e6b1bd694", "input": "Problem: the average age of 15 students of a class is 15 years . out of these , the average age of 4 students is 14 years and that of the other 10 students is 16 years . the age of the 15 th student is \nOptions: a ) 9 years , b ) 11 years , c ) 14 years , d ) 21 years , e ) 9 years", "output": [ "e" ] }, { "id": "task1420-3383a5fb5dcb420b9a7c1a8f794df5b8", "input": "Problem: on a certain date , pat invested $ 10,000 at x percent annual interest , compounded annually . if the total value of the investment plus interest at the end of 12 years will be $ 40,000 , in how many years , the total value of the investment plus interest will increase to $ 120,000 ? \nOptions: a ) 15 , b ) 21 , c ) 18 , d ) 20 , e ) 24", "output": [ "b" ] }, { "id": "task1420-e6d6d116699d47e3be2372d03bd3284d", "input": "Problem: if 6 x = 8 y = 10 z , then what is a possible sum of positive integers x , y , and z ? \nOptions: a ) 52 , b ) 58 , c ) 84 , d ) 94 , e ) 168", "output": [ "d" ] }, { "id": "task1420-e0e7b2170a4c4f59aa3d4d34f0461510", "input": "Problem: the average salary of 15 people in the shipping department at a certain firm is $ 20,000 . the salary of 5 of the employees is $ 25,000 each and the salary of 4 of the employees is $ 15,000 each . what is the average salary of the remaining employees ? \nOptions: a ) $ 19,250 , b ) $ 18,500 , c ) $ 18,000 , d ) $ 19,100 , e ) $ 12,300", "output": [ "d" ] }, { "id": "task1420-6b9c13389cc0449da7ee2322e83dcdf7", "input": "Problem: find the value of a / b + b / a , if a and b are the roots of the quadratic equation x 2 + 4 x + 2 = 0 ? \nOptions: a ) 8 , b ) 10 , c ) 2 , d ) 16 , e ) 24", "output": [ "c" ] }, { "id": "task1420-7d555d5fc1964c6bbcc6c7cad47559de", "input": "Problem: a lemonade stand sold only small and large cups of lemonade on tuesday . 3 / 5 of the cups sold were small and the rest were large . if the large cups were sold for 5 / 6 as much as the small cups , what fraction of tuesday ' s total revenue was from the sale of large cups ? \nOptions: a ) 7 / 16 , b ) 7 / 15 , c ) 10 / 21 , d ) 17 / 35 , e ) 5 / 14", "output": [ "e" ] }, { "id": "task1420-c37633c19b8546cbae56cc1173943667", "input": "Problem: what should be the least number to be added to the 11002 number to make it divisible by 11 ? \nOptions: a ) 12 , b ) 9 , c ) 18 , d ) 77 , e ) 26", "output": [ "b" ] }, { "id": "task1420-fd78183bc62348fc9e4bf28f66ae224a", "input": "Problem: evaluate : 22 + sqrt ( - 4 + 6 * 4 * 3 ) = ? \nOptions: a ) 4 , b ) 14 , c ) 24 , d ) 34 , e ) 44", "output": [ "c" ] }, { "id": "task1420-9e2a64e674944a98b5f84f632f5a2825", "input": "Problem: g ( x ) is defined as the product of all even integers k such that 0 < k ≤ x . for example , g ( 14 ) = 2 × 4 × 6 × 8 × 10 × 12 × 14 . if g ( z ) is divisible by 4 ^ 11 , what is the smallest possible value for z ? \nOptions: a ) 22 , b ) 24 , c ) 28 , d ) 32 , e ) 44", "output": [ "b" ] }, { "id": "task1420-4a3234ce65e14de98dc17fde61481c24", "input": "Problem: find the principle on a certain sum of money at 5 % per annum for 3 1 / 5 years if the amount being rs . 870 ? \nOptions: a ) rs . 700 , b ) rs . 780 , c ) rs . 750 , d ) rs . 1000 , e ) none of these", "output": [ "c" ] }, { "id": "task1420-559d569c6e52418da541d277642f3063", "input": "Problem: in 1979 approximately 1 / 3 of the 37.3 million airline passengers traveling to or from the united states used kennedy airport . if the number of such passengers that used miami airport was 1 / 3 the number that used kennedy airport and 4 times the number that used logan airport , approximately how many millions of these passengers used logan airport that year ? \nOptions: a ) 18.6 , b ) 9.3 , c ) 6.2 , d ) 3.1 , e ) 1.01", "output": [ "e" ] }, { "id": "task1420-80c2d20be62d4e07987cce32343905a9", "input": "Problem: an assembly line produces 90 cogs per hour until an initial order of 60 cogs is completed . the speed of the assembly line is then immediately decreased so that it only produces 60 cogs per hour until another 60 cogs are produced . what is the overall average output , in cogs per hour , for the assembly line during this whole time ? \nOptions: a ) 68 , b ) 69 , c ) 70 , d ) 71 , e ) 72", "output": [ "e" ] }, { "id": "task1420-fcad48efa38043cb8f56ded750f51f0c", "input": "Problem: in a theater , the first row has 15 seats and each row has 2 more seats than previous row . if the last row has 53 seats , what is the total number of seats in the theater ? \nOptions: a ) 600 , b ) 640 , c ) 680 , d ) 720 , e ) 760", "output": [ "c" ] }, { "id": "task1420-7b5519eabbc84a979a0f4a6f045a99c0", "input": "Problem: a certain store sells all maps at one price and all books at another price . on monday the store sold 10 maps and 8 books for a total of $ 22.00 , and on tuesday the store sold 20 maps and 15 books for a total of $ 60.00 . at this store , how much less does a map sell for than a book ? \nOptions: a ) $ - 5.4 , b ) $ 0.50 , c ) $ 0.75 , d ) $ 1.00 , e ) $ l . 25", "output": [ "a" ] }, { "id": "task1420-d1422d36ab8845309c3bfb69b4a94557", "input": "Problem: if each participant of a chess tournament plays exactly one game with each of the remaining participants , then 105 games will be played during the tournament . find the number of participants . \nOptions: a ) 15 , b ) 16 , c ) 17 , d ) 18 , e ) 19", "output": [ "a" ] }, { "id": "task1420-5213dfe9a2ab49369a49f24b2a403ddd", "input": "Problem: the average salary of all the workers in a workshop is rs . 8000 . the average salary of 7 technicians is rs . 10000 and the average salary of the rest is rs . 6000 . the total number of workers in the workshop is : \nOptions: a ) 23 , b ) 19 , c ) 22 , d ) 20 , e ) 14", "output": [ "e" ] }, { "id": "task1420-c94da26645994ace9f75c157f8693624", "input": "Problem: a solution of 90 litres contains milk and water in the ratio 7 : x . if 10 litres of water is added to the solution , the ratio becomes 3 : 2 , find the value of x ? \nOptions: a ) 2 , b ) 1.5 , c ) 3.5 , d ) 2.5 , e ) 3", "output": [ "c" ] }, { "id": "task1420-7cb7ba0ebb384ff795ad1911028f6dd0", "input": "Problem: you collect pens . suppose you start out with 20 . mike gives you another 22 pens . since her father makes pens , cindy decides to double your pens . since you ' re nice , you give sharon 19 pens . how many pens do you have at the end ? \nOptions: a ) 39 , b ) 40 , c ) 65 , d ) 42 , e ) 43", "output": [ "c" ] }, { "id": "task1420-f6fe473a31d24473badc234b5a206d60", "input": "Problem: if sharon ' s weekly salary increased by 20 percent , she would earn $ 600 per week . if instead , her weekly salary were to increase by 15 percent , how much would she earn per week ? \nOptions: a ) rs . 575 , b ) rs . 600 , c ) rs . 625 , d ) rs . 485 , e ) rs . 590", "output": [ "a" ] }, { "id": "task1420-c831612a2e634a24bbec69ca3db42a91", "input": "Problem: in n is a positive integer less than 200 , and 2 n / 108 is an integer , then n has how many different positive prime factors ? \nOptions: a ) 2 , b ) 3 , c ) 5 , d ) 6 , e ) 8", "output": [ "b" ] }, { "id": "task1420-5d123a4a35764eb3b236f8a28a1d169a", "input": "Problem: if n is the product of integers from 1 to 20 inclusive what is the greatest integer k for which 2 ^ k is a factor of n ? \nOptions: a ) 10 , b ) 12 , c ) 15 , d ) 18 , e ) 20", "output": [ "d" ] }, { "id": "task1420-ec7a2c81bd3a4ab284182b6e4a7e867f", "input": "Problem: a man is 24 years older than his son . in six years , his age will be twice the age of his son . the present age of the son is \nOptions: a ) 14 years , b ) 28 years , c ) 20 years , d ) 22 years , e ) none", "output": [ "e" ] }, { "id": "task1420-c584fc5dddd34d72a2b59560b3508436", "input": "Problem: in a certain warehouse , 40 percent of the packages weigh less than 75 pounds , and a total of 48 packages weigh less than 25 pounds . if 80 percent of the packages weigh at least 25 pounds , how many of the packages weigh at least 25 pounds but less than 75 pounds ? \nOptions: a ) 8 , b ) 64 , c ) 48 , d ) 102 , e ) 144", "output": [ "c" ] }, { "id": "task1420-f0d627cecef24338b6179ee36cb7c31b", "input": "Problem: how many two - digit numbers yield a remainder of 1 when divided by both 4 and 17 ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4", "output": [ "b" ] }, { "id": "task1420-23550db549934c38bfe70c7fe2285c05", "input": "Problem: what is 3 / 5 of 5 / 7 of 2 / 3 ? \nOptions: a ) 2 / 7 , b ) 3 / 8 , c ) 9 / 16 , d ) 5 / 8 , e ) 16 / 9", "output": [ "a" ] }, { "id": "task1420-6ba7fea660b543b08f337f013d2de5c4", "input": "Problem: the unit digit in the product 3421 * 6721 * 4584 * 6784 is ? \nOptions: a ) 0 , b ) 1 , c ) 6 , d ) 3 , e ) 4", "output": [ "c" ] }, { "id": "task1420-d2c698082c374979addaf375a9ec0556", "input": "Problem: solve the equation for x : 5 x - 14 + 3 x = 4 + 9 - x \nOptions: a ) 4 , b ) 5 , c ) 7 , d ) 9 , e ) 3", "output": [ "e" ] }, { "id": "task1420-9231cc1fd03b40dc970647d1acb80b1d", "input": "Problem: jeff has 252 ounces of peanut butter in 16 , 28 . and 40 ounce jars . he has an equal number of each sized jar . how many jars of peanut butter does jeff have ? \nOptions: a ) 9 , b ) 8 , c ) 7 , d ) 10 , e ) 11", "output": [ "a" ] }, { "id": "task1420-e7d3c95ff6a34d5fb0222239274682d2", "input": "Problem: average age of students of an adult school is 42 years . 120 new students whose average age is 32 years joined the school . as a result the average age is decreased by 4 years . find the number of students of the school after joining of the new students . \nOptions: a ) 1200 , b ) 120 , c ) 360 , d ) 200 , e ) none of these", "output": [ "d" ] }, { "id": "task1420-031fe82eb6a94d999101163e2795436f", "input": "Problem: a batsman makes a score of 87 runs in the 17 th inning and thus increases his averages by 3 . find his average after 17 th inning ? \nOptions: a ) 19 , b ) 29 , c ) 39 , d ) 49 , e ) 59", "output": [ "c" ] }, { "id": "task1420-b6ff306553894db09de098a281c4a1ff", "input": "Problem: if x > 0 , x / 40 + x / 20 is what percent of x ? \nOptions: a ) 6 % , b ) 25 % , c ) 37 1 / 2 % , d ) 60 % , e ) 75 %", "output": [ "e" ] }, { "id": "task1420-d191be6a806d4641a5068e1021654b31", "input": "Problem: the average age of 15 students of a class is 15 years . out of these , the average age of 5 students is 14 years and that of the other 9 students is 16 years . tee age of the 15 th student is ? \nOptions: a ) 11 years , b ) 17 years , c ) 67 years , d ) 14 years , e ) 12 years", "output": [ "a" ] }, { "id": "task1420-f80fc52177e647ca8633777d14606dca", "input": "Problem: if x * y = xy + 2 ( x + y ) for all integers x and y , then 2 * ( – 3 ) = \nOptions: a ) – 16 , b ) – 11 , c ) – 8 , d ) 4 , e ) 16", "output": [ "c" ] }, { "id": "task1420-ee7305e065ad484680a724532ed70918", "input": "Problem: he average of 30 numbers is zero . of them , at the most , how many may be greater than zero ? \nOptions: a ) 29 , b ) 1 , c ) 10 , d ) 30 , e ) 8", "output": [ "a" ] }, { "id": "task1420-c7ad6da86aac4bbfbbda35bbe716b884", "input": "Problem: a certain clock rings two notes at quarter past the hour , 4 notes at half past , and 6 notes at 3 - quarters past . on the hour , it rings 8 notes plus an additional number of notes equal to whatever hour it is . how many notes will the clock ring from 1 : 00 p . m . through 5 : 00 p . m . , including the rings at 1 : 00 and 5 : 00 ? \nOptions: a ) 87 , b ) 95 , c ) 102 , d ) 103 , e ) 115", "output": [ "d" ] }, { "id": "task1420-caf72b79ec5545ec8c557e6b8d3468b5", "input": "Problem: how many different 3 - digit multiples of 5 can be composed of digits 2 , 7 , 4 , and 5 if none of the digits is repeated ? \nOptions: a ) 3 , b ) 6 , c ) 10 , d ) 12 , e ) 18", "output": [ "b" ] }, { "id": "task1420-8a83a420d567460d828434ad4fbbe4d9", "input": "Problem: how many integerskgreater than 100 and less than 800 are there such that if the hundreds and the units digits ofkare reversed , the resulting integer is k + 99 ? \nOptions: a ) 50 , b ) 60 , c ) 70 , d ) 80 , e ) 90", "output": [ "b" ] }, { "id": "task1420-407939e8c6674e96acb333ef401bbcab", "input": "Problem: a certain elevator has a safe weight limit of 2000 pounds . what is the greatest possible number of people who can safely ride on the elevator at one time with the average ( arithmetic mean ) weight of half the riders being 200 pounds and the average weight of the others being 230 pounds ? \nOptions: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11", "output": [ "c" ] }, { "id": "task1420-4afe766adada44a7bbecefa0d094fe6d", "input": "Problem: a box contains 9 apples , 8 of which are red . an apple is drawn from the box and its color is noted before it is eaten . this is done a total of n times , and the probability that a red apple is drawn each time is less than 0.5 . what is the smallest possible value of n ? \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "c" ] }, { "id": "task1420-af4852065d1649d9b45c99d4dac20723", "input": "Problem: the number of timeshare condos available at sunset beach is 3 / 5 the number of timeshare condos available at playa del mar . if the total number of timeshare condos available at the two beaches combined is 400 , what is the difference between the number of condos available at sunset beach and the number of condos available at playa del mar ? \nOptions: a ) 60 , b ) 90 , c ) 120 , d ) 100 , e ) 240", "output": [ "d" ] }, { "id": "task1420-4f586adc4c3c41db8e229845d1796708", "input": "Problem: a certain fraction is equivalent to 3 / 5 . if the numerator of the fraction is increased by 4 and the denominator is doubled , the new fraction is equivalent to 1 / 3 . what is the sum of the numerator and denominator of the original fraction ? \nOptions: a ) 49 , b ) 35 , c ) 28 , d ) 56 , e ) 21", "output": [ "d" ] }, { "id": "task1420-aef29a47c9644bc99a6de4b5c74455ad", "input": "Problem: country x taxes each of its citizens an amount equal to 15 percent of the first $ 40000 of income , plus 20 percent of all income in excess of $ 40000 . if a citizen of country x is taxed a total of $ 8000 , what is her income ? \nOptions: a ) $ 40,000 , b ) $ 50,000 , c ) $ 64,000 , d ) $ 66,667 , e ) $ 80,000", "output": [ "b" ] }, { "id": "task1420-f7903ab3923e4a768be388f88d4dff03", "input": "Problem: in 1982 and 1983 , company b ’ s operating expenses were $ 11.0 million and $ 14.0 million , respectively , and its revenues were $ 15.6 million and $ 18.8 million , respectively . what was the percent increase in company b ’ s profit ( revenues minus operating expenses ) from 1982 to 1983 ? \nOptions: a ) 3 % , b ) 16 2 / 3 % , c ) 25 % , d ) 4 1 / 3 % , e ) 60 %", "output": [ "d" ] }, { "id": "task1420-90213806b49b477c88fbfa2d41fb9fc1", "input": "Problem: if a and b are positive real numbers , and a ^ 3 + b ^ 3 = 25 , then the greatest possible value of a is between : \nOptions: a ) 0 and 3 , b ) 3 and 4 , c ) 4 and 5 , d ) 5 and 7 , e ) 7 and 9", "output": [ "a" ] }, { "id": "task1420-9712ca2aad0d48afb29c5841c83012c9", "input": "Problem: a sum of money is sufficient to pay a ' s wages for 20 days and b ' s wages for 30 days . the same money is sufficient to pay the wages of both for ? \nOptions: a ) 12 days , b ) 15 days , c ) 20 days , d ) 18 days , e ) 22 days", "output": [ "a" ] }, { "id": "task1420-709ab2fb1a8440aabd1a0aa47af18ca3", "input": "Problem: when tossed , a certain coin has equal probability of landing on either side . if the coin is tossed 3 times , what is the probability that it will land twice on heads and once on tails ? \nOptions: a ) 1 / 16 , b ) 1 / 3 , c ) 1 / 6 , d ) 1 / 2 , e ) 1 / 8", "output": [ "e" ] }, { "id": "task1420-b4e6a7037d0846598d43b4ec7d0300c0", "input": "Problem: a certain galaxy is known to comprise approximately 4 x 10 ^ 12 stars . of every 50 million of these stars , one is larger in mass than our sun . approximately how many stars in this galaxy are larger than the sun ? \nOptions: a ) 800 , b ) 1,250 , c ) 80,000 , d ) 12,000 , e ) 80,000", "output": [ "c" ] }, { "id": "task1420-c074782780804704a1ec343d7f4e5b1f", "input": "Problem: what is 10 - 8 + 6 - 4 + . . . + ( - 14 ) ? \nOptions: a ) 8 , b ) 10 , c ) 12 , d ) 14 , e ) - 2", "output": [ "e" ] }, { "id": "task1420-63f1edae4d08495c9195dec66b8b7ca1", "input": "Problem: how many x ways can you group 3 people from 4 sets of twins if no two people from the same set of twins can be chosen ? \nOptions: a ) 3 , b ) 16 , c ) 28 , d ) 32 , e ) 56", "output": [ "d" ] }, { "id": "task1420-427d0ea14d89449c82f409849a1243de", "input": "Problem: how many paying stones , each measuring 2 1 / 2 m * 2 m are required to pave a rectangular court yard 20 m long and 16 1 / 2 m board ? \nOptions: a ) 66 , b ) 18 , c ) 16 , d ) 10 , e ) 15", "output": [ "a" ] }, { "id": "task1420-9892eccbcf7f462a9b49b3c343d7738f", "input": "Problem: if x is a positive number and 5 the square root of x is equal to x / 25 , then x = \nOptions: a ) 10 , b ) 25 , c ) 5 , d ) 2 , e ) 1", "output": [ "b" ] }, { "id": "task1420-c7c6a958001a4f3baa4cf87430cde3da", "input": "Problem: an amount of money is to be divided between p , q and r in the ratio of 3 : 7 : 12 . if the difference between the shares of p and q is rs . 2500 , what will be the difference between q and r ' s share ? \nOptions: a ) 2225 , b ) 2325 , c ) 2425 , d ) 2625 , e ) 2525", "output": [ "d" ] }, { "id": "task1420-087836d4bade4df3831837e488e3c8dc", "input": "Problem: what is the difference between the largest number and the least number written with the figures 3 , 4 , 7 , 0 , 3 ? \nOptions: a ) 70983 , b ) 43893 , c ) 43983 , d ) 43883 , e ) 43823", "output": [ "c" ] }, { "id": "task1420-088c195aacc848b9b799bef6ede907b9", "input": "Problem: the average age of students of a class is 15.8 years . the average age of boys in the class is 16.4 years and that of the girls is 15.3 years , the ratio of the number of boys to the number of girls in the class is \nOptions: a ) 7 : 3 , b ) 2 : 3 , c ) 9 : 3 , d ) 6 : 3 , e ) 5 : 6", "output": [ "e" ] }, { "id": "task1420-6d0ecc34cb8a434a85e7e4a15373572b", "input": "Problem: what is the tens digit of 36 ^ 4 ? \nOptions: a ) 1 , b ) 3 , c ) 5 , d ) 7 , e ) 9", "output": [ "c" ] }, { "id": "task1420-a0a2ddaa587746f29c4e396f6c41be16", "input": "Problem: find the sum of first 32 natural numbers \nOptions: a ) 470 , b ) 468 , c ) 465 , d ) 463 , e ) 528", "output": [ "e" ] }, { "id": "task1420-d9c53df520f0438a8500a3098361571d", "input": "Problem: the average age of 30 students in a class is 10 years . if teacher ' s age is also included then average increases 1 year then find the teacher ' s age ? \nOptions: a ) 59 , b ) 55 , c ) 61 , d ) 41 , e ) 36", "output": [ "d" ] }, { "id": "task1420-393b8ec3505e4fd3aea4b3622952d052", "input": "Problem: if 6 ! / 3 ^ x is an integer , what is the greatest possible value of x ? \nOptions: a ) 2 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "a" ] }, { "id": "task1420-6b3c340f006841a7bc200ed34d229d33", "input": "Problem: how many multiples of 4 are less than 3200 , and also multiples of 16 ? \nOptions: a ) 104 , b ) 200 , c ) 625 , d ) 832 , e ) 833", "output": [ "b" ] }, { "id": "task1420-326957ba547e46bea05c6a13acce804a", "input": "Problem: rs 378 is divided among the 3 children such that 12 times of anusha is equal to 8 times of babu which is equal to 6 times of esha . how much the rupee anusha get ? \nOptions: a ) 74 , b ) 84 , c ) 94 , d ) 104 , e ) 114", "output": [ "b" ] }, { "id": "task1420-df101d624f874498bf49e43479f05e66", "input": "Problem: if 2 ^ 5 , 3 ^ 3 , and 11 ^ 2 are all factors of the product of 936 and w where w is a positive integer , what is the smallest possible value of w ? \nOptions: a ) 132 , b ) 39 , c ) 42 , d ) 65 , e ) 156", "output": [ "a" ] }, { "id": "task1420-5875d69419f1444292eaa72a7b9fda61", "input": "Problem: in a mayoral election , candidate x received 1 / 3 more votes than candidate y , and candidate y received 1 / 7 fewer votes than z . if z received 21,000 votes how many votes did candidate x received ? \nOptions: a ) 18000 , b ) 22000 , c ) 24000 , d ) 26000 , e ) 32000", "output": [ "c" ] }, { "id": "task1420-fb08a72bf1a64f5dbe0b70e67fa32b25", "input": "Problem: what is ( 24 ^ 7 + 24 ) / 24 ? \nOptions: a ) 159202573 , b ) 160902641 , c ) 172502765 , d ) 182302834 , e ) 191102977", "output": [ "e" ] }, { "id": "task1420-5995a0f6a52b44bf8fe7d88952e34435", "input": "Problem: find the least positive integer divisible by each of the integers between 5 through 10 ( including 10 ) . \nOptions: a ) 560 , b ) 380 , c ) 900 , d ) 2560 , e ) 2520", "output": [ "e" ] }, { "id": "task1420-f030c468b0fd4f7d968054b34a44e3b6", "input": "Problem: if each participant of a chess tournament plays exactly one game with each of the remaining participants , then 276 games will be played during the tournament . find the number of participants . \nOptions: a ) 20 , b ) 22 , c ) 24 , d ) 26 , e ) 28", "output": [ "c" ] }, { "id": "task1420-096c7d6b855246afbd046302e35a45d2", "input": "Problem: at a summer camp with 900 participants , 1 / 2 of the campers are aged 8 to 12 . next year , the number of campers aged 8 to 12 will increase by 1 / 3 . after this change , what percentage of the total 900 campers will the 8 - to 12 - year - olds represent ? \nOptions: a ) 64 % , b ) 66 2 / 3 % , c ) 62 % , d ) 60 % , e ) 56 %", "output": [ "b" ] }, { "id": "task1420-b9dd0c3ec3154374b8f5078dd9e6449f", "input": "Problem: in n is a positive integer less than 200 , and 24 n / 60 is an integer , then n has how many different positive prime factors ? \nOptions: a ) 1 , b ) 3 , c ) 5 , d ) 6 , e ) 8", "output": [ "a" ] }, { "id": "task1420-6b167793d4f44a4c864798ce5b870e11", "input": "Problem: there are 14 teams in a soccer league and each team plays each of the other teams once . how many games will be played in total ? \nOptions: a ) 87 , b ) 91 , c ) 95 , d ) 99 , e ) 103", "output": [ "b" ] }, { "id": "task1420-520861826e4f469ca0fa131cbb0158d6", "input": "Problem: if x and y are numbers such that ( x + 3 ) ( y - 3 ) = 0 , what is the smallest possible value of x ^ 2 + y ^ 2 \nOptions: a ) 0 , b ) 3 , c ) 6 , d ) 9 , e ) 12", "output": [ "d" ] }, { "id": "task1420-d0fd586542cc42a0b87d15c3a20be653", "input": "Problem: a sun is divided among x , y and z in such a way that for each rupee x gets , y gets 45 paisa and z gets 50 paisa . if the share of y is rs . 18 , what is the total amount ? \nOptions: a ) 115 , b ) 116 , c ) 117 , d ) 78 , e ) 119", "output": [ "d" ] }, { "id": "task1420-bef83c5f622f49a89dd183752d1732bb", "input": "Problem: how many positive integers less than 10,000 are such that the product of their digits is 210 ? \nOptions: a ) 24 , b ) 30 , c ) 48 , d ) 54 , e ) 72", "output": [ "d" ] }, { "id": "task1420-b73662f9087d4ece94439a43d7268400", "input": "Problem: tough and tricky questions : exponents . if 7 ^ ( 3 x - 1 ) * 3 ^ ( 4 y - 3 ) = 49 ^ x * 27 ^ y , then x + y = \nOptions: a ) 3 , b ) 4 , c ) 2 , d ) 1 , e ) 5", "output": [ "b" ] }, { "id": "task1420-fe610a7778174916aaf3af65f6f3a362", "input": "Problem: jill has 21 gallons of water stored in quart , half - gallon , and one gallon jars . she has equal numbers of each size jar holding the liquid . what is the total number of water filled jars ? \nOptions: a ) 3 , b ) 6 , c ) 9 , d ) 36 , e ) 14", "output": [ "d" ] }, { "id": "task1420-8488aa0d3087445d9de39e497689d0bc", "input": "Problem: how many integers between 324,805 and 458,705 have tens digit 1 and units digit 3 ? \nOptions: a ) 1,349 , b ) 1,353 , c ) 10,040 , d ) 1,354 , e ) 10,400", "output": [ "a" ] }, { "id": "task1420-8585035b834049bd8047c4cd3267961d", "input": "Problem: if taxi fares were $ 3.00 for the first 1 / 5 mile and $ 0.20 for each 1 / 5 mile there after , then the taxi fare for a 4 - mile ride was \nOptions: a ) $ 6.80 , b ) $ 6.50 , c ) $ 16.80 , d ) $ 6.85 , e ) $ 61.80", "output": [ "a" ] }, { "id": "task1420-14f09eff1f624fac8369e5ddbbd93aa6", "input": "Problem: if x is a sum of all even integers on the interval 13 . . . 63 and y is their number , what is the gcd ( x , y ) ? \nOptions: a ) 1 , b ) 13 , c ) 26 , d ) 25 , e ) 1014", "output": [ "d" ] }, { "id": "task1420-9839a0c248864b89beb6522b5cfed7e1", "input": "Problem: in a rectangular box measuring 12 inches by 14 inches by 16 inches if small rectangular boxes measuring 3 inches by 7 inches by 2 inches are arranged in it , what is the max number of boxes that fit into it ? \nOptions: a ) 23 , b ) 32 , c ) 44 , d ) 15 , e ) 64", "output": [ "e" ] }, { "id": "task1420-de4ce632a99144b1883bf5ff7b6190e5", "input": "Problem: a palindrome is a number that reads the same forward and backward , such as 144 . how many odd , 4 - digit numbers are palindromes ? \nOptions: a ) 40 , b ) 45 , c ) 50 , d ) 62 , e ) 2500", "output": [ "d" ] }, { "id": "task1420-ab6535ee6cf54cc19165fce7f5cbbd1a", "input": "Problem: the average of first 40 prime numbers is ? \nOptions: a ) 15.41 , b ) 16.41 , c ) 15.61 , d ) 15 , e ) 16.91", "output": [ "b" ] }, { "id": "task1420-8b49f6709eca432aa51158f013c90d7c", "input": "Problem: a car travels first 160 km at 75 km / hr and the next 160 km at 70 km / hr . what is the average speed for the first 320 km of the tour ? \nOptions: a ) 71.11 , b ) 71.12 , c ) 72.4 , d ) 71.17 , e ) 71.13", "output": [ "c" ] }, { "id": "task1420-c5683f5c304f44f2a4d2c325ae6faa1d", "input": "Problem: the “ a - number ” of a number x is defined as the ones digit of 2 ^ x . antony rolls a die with 6 sides labeled with the integers from 1 to 6 , each of which has an equal probability of landing face - up . he then takes 3 ^ a , where a is the a - number of the result of his die roll , and plots 3 ^ a on a number line as the point a . finally , he repeats this entire process , this time plotting the result as the point b . what is the probability that the distance between a and b is greater than the value of b ? \nOptions: a ) 3 / 8 , b ) 13 / 36 , c ) 17 / 36 , d ) 19 / 36 , e ) 23 / 36", "output": [ "b" ] }, { "id": "task1420-da25cd8adc454c0987e9ead60fa16c1e", "input": "Problem: a parking garage rents parking spaces for $ 10 per week or $ 24 per month . how much does a person save in a year by renting by the month rather than by the week ? \nOptions: a ) $ 140 , b ) $ 160 , c ) $ 220 , d ) $ 232 , e ) $ 260", "output": [ "d" ] }, { "id": "task1420-a826a05f910246d68b89b2e7422c77df", "input": "Problem: you and your friend spent a total of $ 19 for lunch . your friend spent $ 3 more than you . how much did your friend spend on their lunch ? \nOptions: a ) $ 9 , b ) $ 3 , c ) $ 4 , d ) $ 6 , e ) $ 11", "output": [ "e" ] }, { "id": "task1420-4b7a8d67213f4236b1a238d995a3bc94", "input": "Problem: a library has an average of 540 visitors on sundays and 240 on other days . the average number of visitors per day in a month of 30 days beginning with a sunday is : \nOptions: a ) 300 , b ) 276 , c ) 290 , d ) 285 , e ) none", "output": [ "c" ] }, { "id": "task1420-9881008b43154b21b59318d639004799", "input": "Problem: how many prime numbers exist in 67 x 353 x 1110 ? \nOptions: a ) 30 prime number , b ) 29 prime number , c ) 27 prime number , d ) 31 prime number , e ) none of these", "output": [ "a" ] }, { "id": "task1420-29b3c8d4b4504d22b216762444f2162d", "input": "Problem: in a can , there is a mixture of milk and water in the ratio 4 : 5 . if it is filled with an additional 8 litres of milk the can would be full and ratio of milk and water would become 6 : 5 . find the capacity of the can ? \nOptions: a ) 40 , b ) 44 , c ) 48 , d ) 50 , e ) 56", "output": [ "b" ] }, { "id": "task1420-b049011c2a984f1da4bc77590b3404b2", "input": "Problem: a basketball is dropped from a height of 40 feet . if it bounces back up to a height that is exactly half of its previous height , and it stops bouncing after hitting the ground for the fourth time , then how many total feet will the ball have traveled after 3 full bounces . \nOptions: a ) 50 , b ) 55 , c ) 110 , d ) 75 , e ) 80", "output": [ "c" ] }, { "id": "task1420-9f2938994a694abf89ac1d98904855a8", "input": "Problem: a person travels from p to q a speed of 60 km / hr and returns by increasing his speed by 20 % . what is his average speed for both the trips ? \nOptions: a ) 33 , b ) 77 , c ) 48 , d ) 66 , e ) 21", "output": [ "d" ] }, { "id": "task1420-c0c5193e1d7a44c6af7e11c69b3e51c9", "input": "Problem: a sum of money is to be distributed among a , b , c , d in the proportion of 6 : 2 : 4 : 3 . if c gets $ 500 more than d , what is d ' s share ? \nOptions: a ) $ 2000 , b ) $ 2500 , c ) $ 3000 , d ) $ 3600 , e ) $ 4200", "output": [ "c" ] }, { "id": "task1420-bdb001184e9f4c42858d6c4c257d7fc1", "input": "Problem: an auction house charges a commission of 18 % on the first $ 50,000 of the sale price of an item , plus 10 % on the amount of of the sale price in excess of $ 50,000 . what was the price of a painting for which the house charged a total commission of $ 24,000 ? \nOptions: a ) $ 115,000 , b ) $ 160,000 , c ) $ 200,000 , d ) $ 240,000 , e ) $ 365,000", "output": [ "c" ] }, { "id": "task1420-c80815b7bc694d499653e0ac79888ffa", "input": "Problem: in a market , a dozen eggs cost as much as a pound of rice , and a half - liter of kerosene costs as much as 8 eggs . if the cost of each pound of rice is $ 0.36 , then how many cents does a liter of kerosene cost ? [ one dollar has 100 cents . ] \nOptions: a ) 0.33 , b ) 0.44 , c ) 0.48 , d ) 44 , e ) 48", "output": [ "e" ] }, { "id": "task1420-2f7324d9de824d8ba37863bcc4df18b3", "input": "Problem: if xy denotes x is raised to the power y , find the last two digits of 19413843 + 19614181 \nOptions: a ) 67 , b ) 97 , c ) 55 , d ) 32 , e ) 62", "output": [ "e" ] }, { "id": "task1420-84b16b29710344b3b7ddfd73813765d3", "input": "Problem: three numbers are in the ratio 5 : 4 : 6 and their average is 750 . the largest number is : \nOptions: a ) 30 , b ) 98 , c ) 900 , d ) 21 , e ) 22", "output": [ "c" ] }, { "id": "task1420-743fb7380bea4360910366ce7e9dc1bd", "input": "Problem: a number when divided by 100 leaves 11 as a remainder . what will be the remainder if the number is divided by 11 ? \nOptions: a ) 11 , b ) 1 , c ) 2 , d ) 3 , e ) 21", "output": [ "b" ] }, { "id": "task1420-4130d49f3965465c8719327c0c5f8b74", "input": "Problem: a call center has two teams . each member of team a was able to process 1 / 5 calls as compared to each member of team b . if team a has 5 / 8 as many number of call center agents as team b , what fraction of the total calls was processed by team b ? \nOptions: a ) 3 / 2 , b ) 3 / 4 , c ) 8 / 9 , d ) 1 / 2 , e ) 1 / 5", "output": [ "c" ] }, { "id": "task1420-2f658be0d7f34d8dafb5cc703b2b344d", "input": "Problem: in 1970 there were 8,902 women stockbrokers in the united states . by 1978 the number had increased to 24,947 . approximately what was the percent increase ? \nOptions: a ) 45 % , b ) 125 % , c ) 145 % , d ) 150 % , e ) 180 %", "output": [ "e" ] }, { "id": "task1420-cc802d67ce2a4ea4b5891d40df3fb905", "input": "Problem: a car averages 55 mph for the first 4 hours of a trip and averages 70 mph for each additional hour . the average speed for the entire trip was 60 mph . how many hours long is the trip ? \nOptions: a ) 6 , b ) 8 , c ) 11 , d ) 12 , e ) 14", "output": [ "a" ] }, { "id": "task1420-57b1e49a3beb451ca26664868a6fb37c", "input": "Problem: if 2 ^ ( 2 w ) = 8 ^ ( w − 3 ) , what is the value of w ? \nOptions: a ) 3 , b ) 6 , c ) 9 , d ) 12 , e ) 15", "output": [ "c" ] }, { "id": "task1420-62bd02b88121454eb613d15e55fe40a0", "input": "Problem: if x is a positive integer with fewer than 3 digits , what is the probability that c x * ( x + 1 ) is a multiple of either 4 or 5 ? \nOptions: a ) 4 / 99 , b ) 2 / 25 , c ) 8 / 99 , d ) 49 / 100 , e ) 86 / 99", "output": [ "e" ] }, { "id": "task1420-cce190e1bd144100ad8e5836d34712d5", "input": "Problem: the cash realised on selling a 14 % stock is rs . 108.25 , brokerage being 1 / 4 % is \nOptions: a ) 123 , b ) 106 , c ) 108 , d ) 156 , e ) 240", "output": [ "c" ] }, { "id": "task1420-babe9acd4f104664ab72be4b0058bcdb", "input": "Problem: the tax on a commodity is diminished by 30 % but its consumption is increased by 15 % . find the decrease percent in the revenue derived from it ? \nOptions: a ) 20 % , b ) 18 % , c ) 15 % , d ) 12 % , e ) 14 %", "output": [ "a" ] }, { "id": "task1420-2a03a61afb80427c8b9450bc5cdae887", "input": "Problem: if a 10 percent deposit that has been paid toward the purchase of a certain product is $ 160 , how much more remains to be paid ? \nOptions: a ) $ 880 , b ) $ 990 , c ) $ 1,000 , d ) $ 1,100 , e ) $ 1,440", "output": [ "e" ] }, { "id": "task1420-3a089679020c4b87920435690e30491d", "input": "Problem: the population of a city increases by 5 % per year but due to migration it decrease by 1 % per years . what will be the percentage increase in population in 3 years ? \nOptions: a ) 9 % , b ) 9.27 % , c ) 27 % , d ) 12.48 % , e ) none of these", "output": [ "d" ] }, { "id": "task1420-66f58aa535a24c8b986fcc83ab677fb9", "input": "Problem: product of two natural numbers is 11 . then , the sum of reciprocals of their squares is \nOptions: a ) 290 / 289 , b ) 122 / 121 , c ) 290 / 90 , d ) 290 / 19 , e ) none of these", "output": [ "b" ] }, { "id": "task1420-94ea5487e1a04e5893478d3e9860d2e4", "input": "Problem: ann and bob drive separately to a meeting . ann ' s average driving speed is greater than bob ' s avergae driving speed by one - third of bob ' s average driving speed , and ann drives twice as many miles as bob . what is the ratio e of the number of hours ann spends driving to the meeting to the number of hours bob spends driving to the meeting ? \nOptions: a ) 8 : 3 , b ) 3 : 2 , c ) 4 : 3 , d ) 2 : 3 , e ) 3 : 8", "output": [ "b" ] }, { "id": "task1420-492e63224ee7409ba8faaf1aa17dfd22", "input": "Problem: evaluate : 60 - 12 * 3 * 2 = ? \nOptions: a ) 42 , b ) 52 , c ) 62 , d ) 72 , e ) 82", "output": [ "b" ] }, { "id": "task1420-013f2a74a1cc4c7f92357581d887bf4a", "input": "Problem: what is the ratio of 5 / 7 to the product 3 * ( 7 / 3 ) ? \nOptions: a ) 3 : 7 , b ) 1 : 3 , c ) 5 : 49 , d ) 1 : 7 , e ) 3 : 49", "output": [ "c" ] }, { "id": "task1420-50e58fdfb39c4e44b7011af9c07a5c7e", "input": "Problem: there are 9 cities numbered 1 to 9 . from how many cities the flight can start so as to reach the city 8 either directly or indirectly such that the path formed is divisible by 3 . \nOptions: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11", "output": [ "b" ] }, { "id": "task1420-75a4d3b83b584da680a4fd2327fb991f", "input": "Problem: what is the greatest integer m for which the number 20 ! / 10 ^ m is an integer ? \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "b" ] }, { "id": "task1420-43938691728d48d4889ab799b777a06b", "input": "Problem: how many 7 - digits number are palindromic numbers ? a palindromic number reads the same forward and backward , example 1234321 . \nOptions: a ) 100 , b ) 610 , c ) 729 , d ) 9000 , e ) 1000", "output": [ "d" ] }, { "id": "task1420-45c49977aef2463fbfb7db0b29533b49", "input": "Problem: what is the sum of the greatest common factor and the lowest common multiple of 72 and 36 ? \nOptions: a ) 120 , b ) 150 , c ) 145 , d ) 108 , e ) 112", "output": [ "d" ] }, { "id": "task1420-7566e65072d74125b59063369cfae80b", "input": "Problem: there are 300 giraffes at a large zoo . the number of giraffes is 3 times the number of all the other animals combined . how many more giraffes are there than non giraffes animals at the zoo ? \nOptions: a ) 400 , b ) 360 , c ) 300 , d ) 290 , e ) 200", "output": [ "d" ] }, { "id": "task1420-4d009b8ce705460dbb86673ba6dd4519", "input": "Problem: what is the least whole number that should be added to 784839 if it is to be divisible by 10 ? \nOptions: a ) 3 , b ) 2 , c ) 1 , d ) 5 , e ) 6", "output": [ "c" ] }, { "id": "task1420-d5a155d57c9543e5bb4bee1b0dcb0a96", "input": "Problem: what is the least number should be added to 1100 , so the sum of the number is completely divisible by 23 ? \nOptions: a ) 1 , b ) 2 , c ) 5 , d ) 4 , e ) 8", "output": [ "d" ] }, { "id": "task1420-ba72fd3b2d984697918daa3e23c5a8fe", "input": "Problem: in a cricket match , 5 batsmen a , b , c , d and e scored an average of 36 runs . d scored 5 more than e ; e scored 8 fewer than a ; b scored as many as d and e combined ; and b and c scored 107 between them . how many runs did e score ? \nOptions: a ) 62 , b ) 45 , c ) 28 , d ) 20 , e ) 25", "output": [ "d" ] }, { "id": "task1420-90ef919fd4064cdd8d76dc455b24d0bc", "input": "Problem: a and b are two partially filled buckets of water . if 5 liters are transferred from a to b , then a would contain one - third of the amount of water in b . alternatively , if 4 liters are transferred from b to a , b would contain one - half of the amount of water in a . bucket a contains how many liters of water ? \nOptions: a ) 11 , b ) 52 / 5 , c ) 17 , d ) 21 , e ) 23", "output": [ "b" ] }, { "id": "task1420-ad6c152cff9d4f6a8b15ef5c82557cf3", "input": "Problem: a student chose a number , multiplied it by 2 , then subtracted 138 from the result and got 106 . what was the number he chose ? \nOptions: a ) 123 , b ) 267 , c ) 277 , d ) 122 , e ) 120", "output": [ "d" ] }, { "id": "task1420-38d9c04b78c249af8e7ab93feb2e083b", "input": "Problem: x and y are integers . a + b < 11 , and a > 6 . what is the smallest possible value of a - b ? \nOptions: a ) 1 , b ) 2 , c ) 4 , d ) - 2 , e ) - 4", "output": [ "c" ] }, { "id": "task1420-129fd41984de4d69b0a9e279590c55b6", "input": "Problem: what is the units digit of the expression 14 ^ 7 − 18 ^ 4 ? \nOptions: a ) 0 , b ) 3 , c ) 4 , d ) 6 , e ) 8", "output": [ "e" ] }, { "id": "task1420-826df0a35966443fa1ef57ebbe72068b", "input": "Problem: how many multiples of 5 are there between 5 to 95 ? \nOptions: a ) 9 , b ) 18 , c ) 17 , d ) 16 , e ) 15", "output": [ "c" ] }, { "id": "task1420-71dcc7e987ad40db8978fa21e68edb03", "input": "Problem: a fruit - salad mixture consists of apples , peaches , and grapes in the ratio 9 : 6 : 5 , respectively , by weight . if 40 pounds of the mixture is prepared , the mixture includes how many more pounds of apples than grapes ? \nOptions: a ) 15 , b ) 12 , c ) 8 , d ) 6 , e ) 4", "output": [ "c" ] }, { "id": "task1420-cc226cd5b8ba411ca65166cb33d586dd", "input": "Problem: the visitors of a modern art museum who watched a certain picasso painting were asked to fill in a short questionnaire indicating whether they had enjoyed looking at the picture and whether they felt they had understood it . according to the results of the survey , all 140 visitors who did not enjoy the painting also did not feel they had understood the painting , and the number of visitors who enjoyed the painting was equal to the number of visitors who felt they had understood the painting . if 3 / 4 of the visitors who answered the questionnaire both enjoyed the painting and felt they had understood the painting , then how many visitors answered the questionnaire ? \nOptions: a ) 90 , b ) 120 , c ) 160 , d ) 360 , e ) 560", "output": [ "e" ] }, { "id": "task1420-06c1d8e463664b9f85b948a0bdd37e4f", "input": "Problem: a clothing store purchased a pair of pants for $ 90 and was selling it at a price that equaled the purchase price of the pants plus a markup that was 25 percent of the selling price . after some time a clothing store owner decided to decrease the selling price by 20 percent . what was the clothing store ' s gross profit on this sale ? \nOptions: a ) $ 14 , b ) $ 5 , c ) $ 10 , d ) $ 6 , e ) $ 8", "output": [ "d" ] }, { "id": "task1420-2b7e504b35ad495dad0aa6c9a5d6b922", "input": "Problem: a large field of 500 hectares is divided into two parts . the difference of the areas of the two parts is one - fifth of the average of the two areas . what is the area of the smaller part in hectares ? \nOptions: a ) 205 , b ) 215 , c ) 225 , d ) 260 , e ) 270", "output": [ "c" ] }, { "id": "task1420-a518b4ebb74b4112aea63c7cf633835b", "input": "Problem: if w / x = 1 / 3 and w / y = 3 / 4 , then ( x + y ) / y = \nOptions: a ) 13 / 4 , b ) 6 / 5 , c ) 7 / 5 , d ) 8 / 5 , e ) 9 / 5", "output": [ "a" ] }, { "id": "task1420-595b6a46ad3a4a668015fe7a1d87add3", "input": "Problem: if x , y , and z are positive integers , and 2 x = 5 y = 6 z , then the least possible value of x + y + z is \nOptions: a ) 15 , b ) 26 , c ) 37 , d ) 42 , e ) 60", "output": [ "b" ] }, { "id": "task1420-376ba77ea4a3486286f77441c6953806", "input": "Problem: a student took 6 courses last year and received an average ( arithmetic mean ) grade of 100 points . the year before , the student took 5 courses and received an average grade of 40 points . to the nearest tenth of a point , what was the student ’ s average grade for the entire two - year period ? \nOptions: a ) 79 , b ) 89 , c ) 95 , d ) 72.72 , e ) 97.2", "output": [ "d" ] }, { "id": "task1420-a1f7af927ef144ad86029505311aaf15", "input": "Problem: find the principle on a certain sum of money at 5 % per annum for 2 2 / 5 years if the amount being rs . 1904 ? \nOptions: a ) 1700 , b ) 2777 , c ) 2889 , d ) 27670 , e ) 2771", "output": [ "a" ] }, { "id": "task1420-6964ffc8bcd2487aac7ca6bd9b03542c", "input": "Problem: rs . 1170 is divided so that 4 times the first share , thrice the 2 nd share and twice the third share amount to the same . what is the value of the third share ? \nOptions: a ) rs . 720 , b ) rs . 920 , c ) rs . 537 , d ) rs . 540 , e ) rs . 637", "output": [ "d" ] }, { "id": "task1420-ca96a3d80abe4c2bbe9c70da51c16fb1", "input": "Problem: a certain company has records stored with a record storage firm in 15 - inch by 12 - inch by 10 - inch boxes . the boxes occupy 1.08 million cubic inches of space . if the company pays $ 0.6 per box per month for the record storage , what is the total amount that the company pays each month for record storage ? \nOptions: a ) a . 150 , b ) b . 300 , c ) c . 600 , d ) d . 1,200 , e ) e . 360", "output": [ "e" ] }, { "id": "task1420-2ce9c114430c4ec2b268159d0d59106d", "input": "Problem: the price of a cycle is reduced by 25 per cent . the new price is reduced by a further 60 per cent . the two reductions together are equal to a single reduction of \nOptions: a ) 45 % , b ) 70 % , c ) 35 % , d ) 32.5 % , e ) 30 %", "output": [ "b" ] }, { "id": "task1420-24b9871ff177489bbb6bb4bb0a9e886e", "input": "Problem: find large number from below question the difference of two numbers is 1390 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder \nOptions: a ) 1245 , b ) 1345 , c ) 1455 , d ) 1577 , e ) 1665", "output": [ "e" ] }, { "id": "task1420-8feb22d96b534f749b9ea4e9fe0600dc", "input": "Problem: what is the greatest prime factor of 5 ^ 6 - 1 ? \nOptions: a ) 29 , b ) 31 , c ) 37 , d ) 41 , e ) 43", "output": [ "b" ] }, { "id": "task1420-bbb119c55a554104a3abd22c1213512c", "input": "Problem: the product of two positive integers is 1023 and their difference is 2 . what is the bigger number ? \nOptions: a ) 29 , b ) 31 , c ) 33 , d ) 35 , e ) 37", "output": [ "c" ] }, { "id": "task1420-0c9b1b02823446d0bae48b70718acd8a", "input": "Problem: the average monthly salary of 20 employees in an organisation is rs . 1500 . if the manager ' s salary is added , then the average salary increases by rs . 1000 . what is the manager ' s monthly salary ? \nOptions: a ) rs . 16003 , b ) rs . 16029 , c ) rs . 22500 , d ) rs . 16108 , e ) rs . 16011", "output": [ "c" ] }, { "id": "task1420-4ec0ef4083904a55823984b7c68c02b6", "input": "Problem: 5357 x 51 = ? \nOptions: a ) 273232 , b ) 273243 , c ) 273247 , d ) 273250 , e ) 273207", "output": [ "e" ] }, { "id": "task1420-d202052874fb4ff7b2cd2d93a09cdc18", "input": "Problem: what is 3 2 / 3 - 2 1 / 4 divided by 6 / 7 - 2 / 5 ? \nOptions: a ) 17 / 36 , b ) 36 / 17 , c ) 17 / 64 , d ) 15 / 4 , e ) 14 / 4", "output": [ "c" ] }, { "id": "task1420-24e1cc0ccc064fcc97be2b09eb74d6db", "input": "Problem: how much is 60 % of 40 is greater than 4 / 5 of 25 ? \nOptions: a ) 4 , b ) 6 , c ) 10 , d ) 8 , e ) 13", "output": [ "a" ] }, { "id": "task1420-c956de781eaa4389b86feb61d6e4db82", "input": "Problem: 3 ltr of water is added with 9 ltr of a solution containing 57 % of alcohol in the water . the % of alcohol in the new mixture is ? \nOptions: a ) 41.5 % , b ) 42.75 % , c ) 43 % , d ) 45 % , e ) 45.75 %", "output": [ "b" ] }, { "id": "task1420-a3f5e0b2dfa648cdb6d3d999e0e582e9", "input": "Problem: of the total amount that jill spent on a shopping trip , excluding taxes , she spent 40 percent on clothing , 30 percent on food , and 30 percent on other items . if jill paid a 4 percent tax on the clothing , no tax on the food , and an 8 percent tax on all other items , then the total tax that she paid was what percent of the total amount that she spent , excluding taxes ? \nOptions: a ) 2.8 % , b ) 3.6 % , c ) 4 % , d ) 5.2 % , e ) 6.0 %", "output": [ "c" ] }, { "id": "task1420-4017800f7d104252be84c213818a8713", "input": "Problem: ifaequals the sum of the even integers from 2 to 80 , inclusive , andbequals the sum of the odd integers from 1 to 79 , inclusive , what is the value of a - b ? \nOptions: a ) 1 , b ) 10 , c ) 19 , d ) 40 , e ) 21", "output": [ "d" ] }, { "id": "task1420-afbb962d500241d6803b3896b3c3e746", "input": "Problem: 18.05 ã — 0.001 = ? \nOptions: a ) 0.1805 , b ) 0.01805 , c ) 1.805 , d ) 0.001805 , e ) none of these", "output": [ "b" ] }, { "id": "task1420-0cd2d2bffa1f430691b2ddaff03f31e0", "input": "Problem: there are 300 female managers in a certain company . find the total number of female employees in the company , if 2 / 5 of all the employees are managers and 2 / 5 of all male employees are managers . \nOptions: a ) 650 , b ) 700 , c ) 750 , d ) 800 , e ) none of these", "output": [ "c" ] }, { "id": "task1420-89629b4f6c6745aaad7e82c3ba692eb2", "input": "Problem: the average age of students of a class is 15.8 years . the average age of boys in the class is 16.4 years and that of the girls is 15.4 years . the ration of the number of boys to the number of girls in the class is : \nOptions: a ) 2 : 5 , b ) 2 : 3 , c ) 2 : 4 , d ) 2 : 1 , e ) 2 : 9", "output": [ "b" ] }, { "id": "task1420-8fc675c4c2ce4e7e95867b445c013b8d", "input": "Problem: a cab driver 5 days income was $ 200 , $ 150 , $ 750 , $ 400 , $ 500 . then his average income is ? \nOptions: a ) $ 420 , b ) $ 410 , c ) $ 400 , d ) $ 390 , e ) $ 380", "output": [ "c" ] }, { "id": "task1420-2fb157c62b51442cb3fc9addac48bae5", "input": "Problem: s ( n ) is a n - digit number formed by attaching the first n perfect squares , in order , into one integer . for example , s ( 1 ) = 1 , s ( 2 ) = 14 , s ( 3 ) = 149 , s ( 4 ) = 14916 , s ( 5 ) = 1491625 , etc . how many digits r are in s ( 99 ) ? \nOptions: a ) r = 350 , b ) r = 353 , c ) r = 354 , d ) r = 356 , e ) 357", "output": [ "b" ] }, { "id": "task1420-ab3429590a964cf9924de1b002bf7999", "input": "Problem: the average ( arithmetic mean ) of 22 , 33 , and 53 is 8 less than the average of 30 , 56 , and x . what is x ? \nOptions: a ) 42 , b ) 44 , c ) 46 , d ) 48 , e ) 50", "output": [ "c" ] }, { "id": "task1420-e6b6ad7f4a0b4a099b9284bb2302f9c6", "input": "Problem: what is the remainder when 121212 . . . . . . . ( 300 ) digits is divided by 99 . \nOptions: a ) 18 , b ) 36 , c ) 72 , d ) 0 , e ) 1", "output": [ "a" ] }, { "id": "task1420-ece2f2bdec7842819a67a8b3b82b4cf8", "input": "Problem: if the arithmetic mean of p and q is 10 and the arithmetic mean of q and r is 24 , what is the value of r - p ? \nOptions: a ) 28 , b ) 10 , c ) 30 , d ) 40 , e ) 5", "output": [ "a" ] }, { "id": "task1420-f94abf4c98264a0caa3c780269ac17a3", "input": "Problem: evaluate : | 9 - 8 ( 3 - 12 ) | - | 5 - 11 | = ? \nOptions: a ) 75 , b ) 50 , c ) 60 , d ) 70 , e ) 80", "output": [ "a" ] }, { "id": "task1420-ba4f8a1315be41b7813241ba1d77cfea", "input": "Problem: mike took a taxi to the airport and paid $ 2.50 to start plus $ 0.25 per mile . annie took a different route to the airport and paid $ 2.50 plus $ 5.00 in bridge toll fees plus $ 0.25 per mile . if each was charged exactly the same amount , and annie ' s ride was 18 miles , how many miles was mike ' s ride ? \nOptions: a ) 30 , b ) 34 , c ) 38 , d ) 42 , e ) 48", "output": [ "c" ] }, { "id": "task1420-60a967b709dd45d4ba97624fc341a6f6", "input": "Problem: find the maximum value of the function f ( x ) = x − 5 if x is a number between - 5 and 13 . \nOptions: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) none", "output": [ "c" ] }, { "id": "task1420-9f38ebc77ddf4b7a956afd7d33431678", "input": "Problem: 8.5 × 6.4 + 4.5 × 11.6 = ? ÷ 4 \nOptions: a ) 426.2 , b ) 426.4 , c ) 106.6 , d ) 422.4 , e ) 522.5", "output": [ "b" ] }, { "id": "task1420-a34f363a3af142728bba86517ca6c85d", "input": "Problem: a ( 5 , w ^ 2 ) is the ( x , y ) coordinate of point located on the parabola y = x ^ 2 + 11 . what is the value of w ? \nOptions: a ) 3 . , b ) 4 . , c ) 5 . , d ) 6 . , e ) 9 .", "output": [ "d" ] }, { "id": "task1420-171a802c11b54426849190c49ed94e1c", "input": "Problem: total dinning bill of 7 people was $ 139.00 and 10 % tip divided the bill evenly ? what is the bill amount each person shared . \nOptions: a ) 21.84 , b ) 22.84 , c ) 23.84 , d ) 24.84 , e ) 25.84", "output": [ "a" ] }, { "id": "task1420-362afdccca94491caa72d6e786a42918", "input": "Problem: if the operation ø is defined for all positive integers x and w by x ø w = ( 2 ^ x ) / ( 2 ^ w ) then ( 4 ø 2 ) ø 1 = ? \nOptions: a ) 2 , b ) 4 , c ) 8 , d ) 16 , e ) 32", "output": [ "c" ] }, { "id": "task1420-f209390b0a9546b08028bdde775b9b25", "input": "Problem: when n is divided by 24 , the remainder is 5 . what is the remainder when 4 n is divided by 8 ? \nOptions: a ) 3 , b ) 5 , c ) 4 , d ) 6 , e ) 7", "output": [ "c" ] }, { "id": "task1420-97a49ac0659a4544a01e2221c131433c", "input": "Problem: the product of a and b is equal to 14 more than twice the sum of a and b . if b = 8 , what is the value of b - a ? \nOptions: a ) 2 , b ) 3 , c ) 7 , d ) 24 , e ) 35", "output": [ "b" ] }, { "id": "task1420-20b6a50188c74f02a57de0f50b40616c", "input": "Problem: average between two sets of numbers is closer to the set with morenumbers ? \nOptions: a ) 70 , b ) 80 , c ) 85 , d ) 90 , e ) 95", "output": [ "b" ] }, { "id": "task1420-d9eb320957c04ed887d31bc0ebf7505b", "input": "Problem: in a coconut grove , ( x + 4 ) trees yield 60 nuts per year , x trees yield 120 nuts per year and ( x – 4 ) trees yield 180 nuts per year . if the average yield per year per tree be 100 , find x . \nOptions: a ) 3 , b ) 4 , c ) 8 , d ) 9 , e ) none of the above", "output": [ "c" ] }, { "id": "task1420-1cf05f8a862a495b87aa90f5ddd5e459", "input": "Problem: having received his weekly allowance , a student spent 3 / 5 of his allowance at the arcade . the next day he spent one third of his remaining allowance at the toy store , and then spent his last $ 1.20 at the candy store . what is this student ’ s weekly allowance ? \nOptions: a ) $ 3.50 , b ) $ 4.00 , c ) $ 4.25 , d ) $ 4.50 , e ) $ 5.00", "output": [ "d" ] }, { "id": "task1420-7517ad75c9484850b9640a73e54a2f1f", "input": "Problem: in a recent election , james received 2.1 percent of the 2,000 votes cast . to win the election , a candidate needed to receive more than 46 percent of the vote . how many additional votes would james have needed to win the election ? \nOptions: a ) 901 , b ) 879 , c ) 990 , d ) 991 , e ) 1,001", "output": [ "b" ] }, { "id": "task1420-30b9d81de1a04eed8b26c46765b38201", "input": "Problem: at the wholesale store you can buy an 8 - pack of hot dogs for $ 1.55 , a 20 - pack for $ 3.05 , and a 350 - pack for $ 22.95 . what is the greatest number of hot dogs you can buy at this store with $ 200 ? \nOptions: a ) 1,108 , b ) 2,900 , c ) 2,108 , d ) 2,124 , e ) 2,256", "output": [ "b" ] }, { "id": "task1420-c807ab33f4c64f01a8806a6003a961fc", "input": "Problem: a certain kind of fuel is 1515 high octane and 4545 regular octane . if high octane costs 3 times as much as regular octane , what fraction of the cost of the fuel is due to the high octane ? \nOptions: a ) 1 / 5 , b ) 2 / 3 , c ) 3 / 7 , d ) 3 / 5 , e ) 4 / 5", "output": [ "c" ] }, { "id": "task1420-74f811ef12af4d2b9fe24f993de9d234", "input": "Problem: the guests at a football banquet consumed a total of 319 pounds of food . if no individual guest consumed more than 2 pounds of food , what is the minimum number of guests that could have attended the banquet ? \nOptions: a ) 160 , b ) 161 , c ) 162 , d ) 163 , e ) 164", "output": [ "a" ] }, { "id": "task1420-f822c9cc50374723b8d228a3d76a3214", "input": "Problem: sale of rs 6835 , rs . 9927 , rs . 6855 , rs . 7230 and rs . 6562 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs , 7000 ? \nOptions: a ) 4966 , b ) 2477 , c ) 2877 , d ) 7991 , e ) 8881", "output": [ "d" ] }, { "id": "task1420-1c4f6cd42b6b4fe7a91e88ce3d5dc701", "input": "Problem: 19.19 / 2000 is equal to : \nOptions: a ) 1.01252633 , b ) 0.01262533 , c ) 0.12526333 , d ) 0.012793333 , e ) 0.12725333", "output": [ "d" ] }, { "id": "task1420-a0909e9ff6a54a9fb29633388d08f8fe", "input": "Problem: from below option 50 is divisible by which one ? \nOptions: a ) 3 , b ) 2 , c ) 7 , d ) 8 , e ) 9", "output": [ "b" ] }, { "id": "task1420-a5d1947b3ee449fda6b4382dea185ab9", "input": "Problem: if 5 x = 6 y and xy ≠ 0 , what is the ratio of 1 / 4 * x to 1 / 6 * y ? \nOptions: a ) 25 / 6 , b ) 36 / 25 , c ) 9 / 5 , d ) 5 / 6 , e ) 25 / 36", "output": [ "c" ] }, { "id": "task1420-701051915b724d589622de30e888cbef", "input": "Problem: the difference between two numbers is 2395 . when the larger number is divided by the smaller one , the quotient is 6 and the remainder is 15 . the smaller number is \nOptions: a ) 120 , b ) 239 , c ) 476 , d ) 523 , e ) 526", "output": [ "c" ] }, { "id": "task1420-71f1241c3ad1471a8fa8feabb379bf33", "input": "Problem: mike earns $ 17.5 per hour and phil earns $ 10.5 per hour . approximately how much less , as a percentage , does phil earn than mike per hour ? \nOptions: a ) 25 % , b ) 32.5 % , c ) 37 % , d ) 37.5 % , e ) 40 %", "output": [ "e" ] }, { "id": "task1420-b1d6a69bc65749339c3cc8aefcbe9cba", "input": "Problem: the l . c . m of two numbers is 495 and their h . c . f is 5 . if the sum of the numbers is 10 , then their difference is : \nOptions: a ) 10 , b ) 46 , c ) 70 , d ) 90 , e ) 100", "output": [ "a" ] }, { "id": "task1420-96290ad6afa54a9bbe2ab1a6ec923368", "input": "Problem: if 100 < x < 199 and 9 < y < 100 , then the product xy can not be equal to : \nOptions: a ) 19,104 , b ) 19,303 , c ) 19 , 956.732 , d ) 19,502 , e ) 19,809", "output": [ "c" ] }, { "id": "task1420-5d59157c56694da8882078b68705c15b", "input": "Problem: if 5400 mn = k ^ 4 , where m , n , and k are positive integers , what is the least possible value of 3 m + n ? \nOptions: a ) 11 , b ) 18 , c ) 20 , d ) 45 , e ) 33", "output": [ "d" ] }, { "id": "task1420-bb201c69feb240b1bbd2ba589b95d723", "input": "Problem: a certain library assesses fines for overdue books as follows . on the first day that a book is overdue , the total fine is $ 0.08 . for each additional day that the book is overdue , the total fine is either increased by $ 0.30 or doubled , whichever results in the lesser amount . what is the total for a book on the fourth day it is overdue ? \nOptions: a ) $ 0.62 , b ) $ 0.70 , c ) $ 0.80 , d ) $ 0.90 , e ) $ 1.00", "output": [ "a" ] }, { "id": "task1420-7aa457dce15149e29741c256caa32e7b", "input": "Problem: find the constant k so that : - x 2 - ( k + 10 ) x - 8 = - ( x - 2 ) ( x - 4 ) \nOptions: a ) 11 , b ) 12 , c ) 16 , d ) 14 , e ) 15", "output": [ "c" ] }, { "id": "task1420-21d9a666ee434b34b121a82f385eb881", "input": "Problem: given f ( x ) = 2 x – 3 , for what value of x does 2 * [ f ( x ) ] – 11 = f ( x – 2 ) ? \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6", "output": [ "d" ] }, { "id": "task1420-958b56e0da3d4e2786ad8b28977ed3a3", "input": "Problem: each of the 20 boxes in a certain shipment weighs either 10 pounds or 20 pounds , and the average ( arithmetic mean ) weight of the boxes in the shipment is 18 pounds . if the average weight of the boxes in the shipment is to be reduced to 16 pounds by removing some of the 20 - pound boxes , how many 20 - pound boxes must be removed ? \nOptions: a ) 8 , b ) 10 , c ) 12 , d ) 14 , e ) 15", "output": [ "b" ] }, { "id": "task1420-6d454843f7f844bba0e11909be1abcf9", "input": "Problem: the average weight of 8 person ' s increases by 6 kg when a new person comes in place of one of them weighing 45 kg . what is the weight of the new person ? \nOptions: a ) 90 , b ) 93 , c ) 56 , d ) 80.5 , e ) 78", "output": [ "b" ] }, { "id": "task1420-68f000e8f1fd44fbbb7147c82f60c69d", "input": "Problem: there has been successive increases of 15 % and then 10 % in the price of gas from the previous month . by what percentage should a driver reduce gas consumption so that the expenditure does not change ? \nOptions: a ) 12 % , b ) 15 % , c ) 18 % , d ) 21 % , e ) 24 %", "output": [ "d" ] }, { "id": "task1420-0d21280dc4164bd1b2038e1add23df0c", "input": "Problem: whats the reminder when 445876 , 985420 , 215546 , 656452 is divided by 8 \nOptions: a ) 1 , b ) 7 . , c ) 4 , d ) 3 , e ) 9", "output": [ "c" ] }, { "id": "task1420-23211fd34aa84fa7b335456edc95fe9b", "input": "Problem: a no . when divided by 125 gives a remainder 40 , what remainder will be obtainedby dividingthe same no . 15 ? \nOptions: a ) 10 , b ) 11 , c ) 12 , d ) 13 , e ) 14", "output": [ "b" ] }, { "id": "task1420-7052f034637a4b7883b0d40b4ac7083d", "input": "Problem: the lowest number which should be added to 8247 so that the sum is exactly divisible by 5 , 6 , 7 , 8 and 9 is : \nOptions: a ) 1833 , b ) 1853 , c ) 1733 , d ) 1233 , e ) 1832", "output": [ "a" ] }, { "id": "task1420-410018213a5546a48ea8356ee5edb1ba", "input": "Problem: reeya obtained 65 , 67 , 76 , 80 and 95 out of 100 in different subjects , what will be the average \nOptions: a ) 76.6 , b ) 75 , c ) 80 , d ) 85 , e ) 90", "output": [ "a" ] }, { "id": "task1420-f9c5a823645c4db48ed17fa6d0168ea8", "input": "Problem: on a certain date , pat invested $ 7,000 at x percent annual interest , compounded annually . if the total value of the investment plus interest at the end of 10 years will be $ 28,000 , in how many years total will the total value of the investment plus interest increase to $ 56,000 ? \nOptions: a ) 15 , b ) 16 , c ) 18 , d ) 20 , e ) 24", "output": [ "a" ] }, { "id": "task1420-e00674c4fcab4db8a72b34f7c1e91fc5", "input": "Problem: a ' s speed is 20 / 13 times that of b . if a and b run a race , what part of the length of the race should a give b as a head start , so that b beats a by 25 % of the length of the race ? \nOptions: a ) 44 % , b ) 48 % , c ) 52 % , d ) 42 % , e ) 61 %", "output": [ "e" ] }, { "id": "task1420-9962145b9a3240dcbbd3b6c5127d8263", "input": "Problem: what is the sum of the integers from - 170 to 171 , inclusive ? \nOptions: a ) 181 , b ) 171 , c ) 191 , d ) 201 , e ) 202", "output": [ "b" ] }, { "id": "task1420-63d4022cf93b4c1fac37d5bfa14e4837", "input": "Problem: the difference between the place value and the face value of 4 in the numeral 854973 is \nOptions: a ) 973 , b ) 6973 , c ) 3996 , d ) 6084 , e ) none of these", "output": [ "c" ] }, { "id": "task1420-e55172eb8a014075afeecaa2d03eeac0", "input": "Problem: 1 , 8 , 27 , 64 , . . . \nOptions: a ) 25 , b ) 48 , c ) 59 , d ) 63 , e ) 125", "output": [ "e" ] }, { "id": "task1420-03cce20af84b43df8c271ede1c655553", "input": "Problem: a , b and c started a business with a total investment of rs . 90000 . a invests rs . 6000 more than b and b invests rs . 3000 less than c . if the total profit at the end of a year is rs . 8640 , find b ' s share . \nOptions: a ) rs . 2592 , b ) rs . 2520 , c ) rs . 2880 , d ) rs . 3360 , e ) none of these", "output": [ "a" ] }, { "id": "task1420-6d88d9dca6034890b032cdbeda1b01e4", "input": "Problem: the product of a and b is equal to 10 more than twice the sum of a and b . if b = 9 , what is the value of b - a ? \nOptions: a ) 2 , b ) 5 , c ) 7 , d ) 24 , e ) 35", "output": [ "b" ] }, { "id": "task1420-cdc2f0a17bf24cf9b40fedff40b6c005", "input": "Problem: balls of equal size are arranged in rows to form an equilateral triangle . the top most row consists of one ball , the 2 nd row of two balls and so on . if 19 balls are added , then all the balls can be arranged in the shape of square and each of the sides of the square contain 8 balls less than the each side of the triangle did . how many balls made up the triangle ? \nOptions: a ) 465 , b ) 2209 , c ) 2878 , d ) 1210 , e ) 1560", "output": [ "a" ] }, { "id": "task1420-a07b8697a05b441ba9c209fd2266f1a7", "input": "Problem: find the average of all numbers between 3 and 86 which are divisible by 5 \nOptions: a ) 15 , b ) 20 , c ) 25 , d ) 30 , e ) 45", "output": [ "e" ] }, { "id": "task1420-acb631211be44f0f826f71f91d525605", "input": "Problem: a computer manufacturer produces a certain electronic component at a cost of $ 70 per component . shipping costs for delivering the components are $ 4 per unit . further , the manufacturer has costs of $ 14,500 a month related to the electronic component regardless of how many it produces . if the manufacturer produces and sells 250 components a month , what is the lowest price it can sell them for such that the costs do n ' t exceed the revenues ? \nOptions: a ) 132 , b ) 138 , c ) 144 , d ) 128 , e ) 116", "output": [ "a" ] }, { "id": "task1420-363bc4f18d974590a6a841c24aeaf721", "input": "Problem: when 2 / 9 of the votes on a certain resolution have been counted , 3 / 4 of those counted are in favor of the resolution . what fraction w of the remaining votes must be against the resolution so that the total count will result in a vote of 2 to 1 against the resolution ? \nOptions: a ) 11 / 14 , b ) 13 / 18 , c ) 4 / 7 , d ) 3 / 7 , e ) 3 / 14", "output": [ "a" ] }, { "id": "task1420-934182af80c14b2caa64eab9582c49a4", "input": "Problem: joe ’ s average ( arithmetic mean ) test score across 4 equally weighted tests was 90 . he was allowed to drop his lowest score . after doing so , his average test score improved to 85 . what is the lowest test score that was dropped ? \nOptions: a ) 20 , b ) 25 , c ) 55 , d ) 75 , e ) 80", "output": [ "d" ] }, { "id": "task1420-d01af6f5d9d04fe2bc2a8839be91f6d9", "input": "Problem: if p and q are positive integers each greater than 1 , and 15 ( p + 1 ) = 29 ( q + 1 ) , what is the least possible value of p + q ? \nOptions: a ) 36 , b ) 42 , c ) 44 , d ) 46 , e ) none", "output": [ "b" ] }, { "id": "task1420-7c2c29630a0247ef83767a5bb14cd654", "input": "Problem: if money is invested at r percent interest , compounded annually , the amount of investment will double in approximately 70 / r years . if pat ' s parents invested $ 5000 in a long term bond that pays 8 percent interest , compounded annually , what will be the approximate total amount of investment 18 years later , when pat is ready for college ? \nOptions: a ) $ 20000 , b ) $ 15000 , c ) $ 12000 , d ) $ 10000 , e ) $ 9000", "output": [ "a" ] }, { "id": "task1420-b383bf0e565b4ac588b170180c5591db", "input": "Problem: what is the lowest positive integer that is divisible by 1 through 2 , inclusive ? \nOptions: a ) 2 , b ) 4 , c ) 8 , d ) 6 , e ) 1", "output": [ "a" ] }, { "id": "task1420-b4a6284422a043869c667410d7963384", "input": "Problem: 1 / 216 , 415 , 356 , _ ? \nOptions: a ) 28 / 3 , b ) 27 / 3 , c ) 26 / 3 , d ) 25 / 3 , e ) 24 / 3", "output": [ "a" ] }, { "id": "task1420-40765d69c1dc4aba81e6a6e388e4ab70", "input": "Problem: 10 camels cost as much as 24 horses , 16 horses cost as much as 4 oxen and 6 oxen as much as 4 elephants . if the cost of 10 elephants is rs . 150000 , find the cost of a camel ? \nOptions: a ) s . 9800 , b ) s . 3800 , c ) s . 9800 , d ) s . 6000 , e ) s . 6880", "output": [ "d" ] }, { "id": "task1420-89683c8907f246dca82648188a6bf50c", "input": "Problem: the captain of a cricket team of 11 members is 26 years old and the wicket keeper is 2 years older . if the ages of these two are excluded , the average age of the remaining players is one year less than the average age of the whole team . what is the average age of the team ? \nOptions: a ) 23 years , b ) 22 years , c ) 25 years , d ) 26 years , e ) 27 years", "output": [ "b" ] }, { "id": "task1420-dd63bb34cb1b402f8fd1ff16659f5134", "input": "Problem: if 20 liters of chemical x are added to 80 liters of a mixture that is 5 % chemical x and 95 % chemical y , then what percentage of the resulting mixture is chemical x ? \nOptions: a ) 24 % , b ) 26 % , c ) 28 % , d ) 30 % , e ) 32 %", "output": [ "a" ] }, { "id": "task1420-38d96bf32129418eb5a3169dc310c416", "input": "Problem: if 3 x + y = 40 , 2 x - y = 20 , for integers of x and y , 2 y ^ 2 = ? \nOptions: a ) 2 , b ) 4 , c ) 0 , d ) 10 , e ) 32", "output": [ "e" ] }, { "id": "task1420-6b72b3ccf36e4336a67d3f537be1aa24", "input": "Problem: a certain social security recipient will receive an annual benefit of $ 12,000 provided he has annual earnings of $ 9,360 or less , but the benefit will be reduced by $ 1 for every $ 3 of annual earnings over $ 9,360 . what amount of total annual earnings would result in a 65 percent reduction in the recipient ' s annual social security benefit ? ( assume social security benefits are not counted as part of annual earnings . ) \nOptions: a ) $ 15,360 , b ) $ 17,360 , c ) $ 18,000 , d ) $ 21,960 , e ) $ 27,360", "output": [ "d" ] }, { "id": "task1420-36937ed05d4942d898220a448c5aff1b", "input": "Problem: if 13 = 13 w / ( 1 - w ) , then ( 3 w ) 2 = \nOptions: a ) 1 / 4 , b ) 1 / 2 , c ) 1 , d ) 2 , e ) 3", "output": [ "e" ] }, { "id": "task1420-edee07b763d045439e0dcba5ec7a87cd", "input": "Problem: you collect baseball cards . suppose you start out with 19 . maria takes half of one more than the number of baseball cards you have . since you ' re nice , you give peter 1 baseball card . since his father makes baseball cards , paul decides to triple your baseball cards . how many baseball cards do you have at the end ? \nOptions: a ) 17 , b ) 18 , c ) 19 , d ) 20 , e ) 24", "output": [ "e" ] }, { "id": "task1420-8f3edda00cf84dd0bf9aa3ccb21d44cc", "input": "Problem: sushil got thrice as many marks in english as in science . his total marks in english , science and maths are 170 . if the ratio of his marks in english and maths is 1 : 4 , find his marks in science ? \nOptions: a ) 17 , b ) 77 , c ) 66 , d ) 55 , e ) 31", "output": [ "a" ] }, { "id": "task1420-07212199b93e43e79fa03238866b1d0e", "input": "Problem: what is the remainder when 14,456 × 15,657 × 16,788 is divided by 10 ? \nOptions: a ) 6 , b ) 8 , c ) 4 , d ) 3 , e ) 2", "output": [ "a" ] }, { "id": "task1420-16716a761be949aab925cda0cba7fe6a", "input": "Problem: how many positive integers less than 50 have a reminder 01 when divided by 5 ? \nOptions: a ) 10 , b ) 14 , c ) 15 , d ) 16 , e ) 17", "output": [ "a" ] }, { "id": "task1420-9bb66e19e3184e8f9a8342366a150272", "input": "Problem: when you multiply a number by 4 and then subtract 3 , the result is the same as if you first subtracted 7 from the same number and then multiplied by 9 . what is the number ? \nOptions: a ) a ) 23 , b ) b ) 13 , c ) c ) 19 , d ) d ) 12 , e ) e ) 10", "output": [ "d" ] }, { "id": "task1420-2193a7f2b084475f8b3e2fa5801d301a", "input": "Problem: if x 2 + kx - 3 , is divisible by ( x - 1 ) , what is the value of k \nOptions: a ) - 1 , b ) 1 , c ) 2 , d ) - 1 , e ) 0", "output": [ "c" ] }, { "id": "task1420-00a43938c45946919fb1b15ac07c4e0d", "input": "Problem: if a person walks at 14 km / hr instead of 10 km / hr , he would have walked 20 km more . the actual distance travelled by him is : \nOptions: a ) 50 km , b ) 56 km , c ) 70 km , d ) 80 km , e ) 46 km", "output": [ "a" ] }, { "id": "task1420-0caf4b95cb634244bd0ec89cdf65c53a", "input": "Problem: a one - foot stick is marked in 1 / 2 and 1 / 4 portion . how many total markings will there be , including the end points ? \nOptions: a ) 8 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "c" ] }, { "id": "task1420-b69f6b17003b421d8acd457f6737f6f8", "input": "Problem: of the 13 employees in a certain department , 1 has an annual salary of 38,000 , 2 have an annual salary of 45,600 each , 2 have an annual salary of 42,500 each , 3 have an annual salary of 40,000 each and 5 have an annual salary of 48,500 each . what is the median annual salary for the 13 employees ? \nOptions: a ) 38,000 , b ) 40,000 , c ) 42,600 , d ) 45,600 , e ) 48,500", "output": [ "d" ] }, { "id": "task1420-34cdfab3874f49998cf7ae4233b5a172", "input": "Problem: a and b are two partially filled buckets of water . if 3 liters are transferred from a to b , then a would contain one - third of the amount of water in b . alternatively , if 3 liters are transferred from b to a , b would contain one - half of the amount of water in a . bucket a contains how many liters of water ? \nOptions: a ) 36 / 5 , b ) 13 , c ) 17 , d ) 21 , e ) 23", "output": [ "a" ] }, { "id": "task1420-44b7c2df643348608f55eedc15ae8a8d", "input": "Problem: ( 3 x + 2 ) ( 2 x - 7 ) = ax ^ 2 + kx + n . what is the value of a - n + k ? \nOptions: a ) 3 , b ) 8 , c ) 9 , d ) 10 , e ) 11", "output": [ "a" ] }, { "id": "task1420-9f75b3eb248f4de3ac43267fd5d9ceb8", "input": "Problem: what is the sum of the numbers between 1 and 14 , inclusive ? \nOptions: a ) 105 , b ) 110 , c ) 125 , d ) 150 , e ) 160", "output": [ "a" ] }, { "id": "task1420-0e662d2d4c8347b98644b5ce6690686c", "input": "Problem: a school has 4 section of chemistry in class x having 50 , 35 , 45 and 42 students . the mean marks obtained in chemistry test are 50 , 60 , 55 and 45 respectively for the 4 sections . determine the overall average of marks per student . \nOptions: a ) 50.12 , b ) 52.12 , c ) 51.12 , d ) 53.12 , e ) none of the above", "output": [ "b" ] }, { "id": "task1420-68485d45c80a4e65becf93eb7163809a", "input": "Problem: when positive integer x is divided by 10 , the quotient is y and the remainder is 3 . when 2 x is divided by 7 , the quotient is 3 y and the remainder is 1 . what is the value of 11 y – x ? \nOptions: a ) 2 , b ) - 2 , c ) 3 , d ) - 3 , e ) 4", "output": [ "a" ] }, { "id": "task1420-dff887ed18104f8d985940c7067fe814", "input": "Problem: for how many integer values of n will the value of the expression 4 n + 7 be an integer greater than 1 and less than 100 ? \nOptions: a ) 30 , b ) 28 , c ) 27 , d ) 25 , e ) 26", "output": [ "d" ] }, { "id": "task1420-16f9f7ca823248ae86bdd6056ffe5667", "input": "Problem: the compound interest on a sum for 2 years is rs . 832 and the simple interest on the same sum for the same period is rs . 800 . the difference between the compound and simple interest for 3 years will be \nOptions: a ) rs . 48 , b ) rs . 98.56 , c ) rs . 66.56 , d ) rs . 66.58 , e ) none of these", "output": [ "b" ] }, { "id": "task1420-e9d101b199054513b66501c7d23924f5", "input": "Problem: a dog is tied to a tree by a long nylon cord . if the dog runs from the due north side of the tree to the due south side of the tree with the cord extended to its full length at all items , and the dog ran approximately 30 feet , what was the approximate length of the nylon cord l in feet ? \nOptions: a ) 30 , b ) 25 , c ) 15 , d ) 10 , e ) 5", "output": [ "d" ] }, { "id": "task1420-2da2937aaff94785a5a7b718ee7e7ac1", "input": "Problem: if 0.5 : x : : 5 : 8 , then x is equal to : \nOptions: a ) a ) 1.12 , b ) b ) 1.2 , c ) c ) 1.25 , d ) d ) 0.9 , e ) e ) 0.8", "output": [ "e" ] }, { "id": "task1420-3cdba706371f40ac9f505abd87a77deb", "input": "Problem: in an electric circuit , two resistors with resistances x and y are connected in parallel . if r is the combined resistance of these two resistors , then the reciprocal of r is equal to the sum of the reciprocals of x and y . what is r if x is 5 ohms and y is 6 ohms ? \nOptions: a ) 7 / 30 , b ) 11 / 30 , c ) 11 / 15 , d ) 30 / 11 , e ) 15 / 11", "output": [ "d" ] }, { "id": "task1420-dbdb83b9b9cf4cbeafa7212a98a7f1d5", "input": "Problem: if a computer program generates 3 - digit odd numbers using the numbers 9 , 7 , 0 , 8 , and 1 , and the digits can be repeated , what is the probability that the number formed from the program is a multiple of 3 ? \nOptions: a ) 1 / 3 , b ) 1 / 4 , c ) 1 / 5 , d ) 1 / 6 , e ) 1 / 7", "output": [ "a" ] }, { "id": "task1420-34f56a6d04154e9e979f657d47708eb9", "input": "Problem: for any integer k greater than 1 , the symbol k * denotes the product of all integers between 1 and k , inclusive . if k * is a multiple of 315 what is the least possible value of k ? \nOptions: a ) 5 , b ) 7 , c ) 9 , d ) 11 , e ) 13", "output": [ "b" ] }, { "id": "task1420-18f4221b51424864a214101a67404f69", "input": "Problem: the 15 homes in a new development are each to be sold for one of 3 different prices so that the developer receives an average ( arithmetic mean ) of $ 200000 per home . if 4 of the homes are to be sold for $ 170000 each and 5 are to be sold for $ 200000 each , what will be the selling price of each of the remaining 8 homes ? \nOptions: a ) $ 200,000 , b ) $ 210,000 , c ) $ 215,000 , d ) $ 220,000 , e ) $ 230,000", "output": [ "c" ] }, { "id": "task1420-0becac7c4fbc4b2d8a9441245d765eec", "input": "Problem: the average of first five multiples of 4 is \nOptions: a ) 3 , b ) 6 , c ) 9 , d ) 12 , e ) 15", "output": [ "d" ] }, { "id": "task1420-d26d56d6443148de847c96ae8583d726", "input": "Problem: 3 years ago the average age of a class of 6 members was 19 years . a boy have been added , the average age of the class is the same today . what is the age of the boy ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "a" ] }, { "id": "task1420-f4362c6a894e4176be4263d68e6baa19", "input": "Problem: a room is 8 meters 16 centimeters in length and 4 meters 32 centimeters in width . find the least number of square tiles of equal size required to cover the entire floor of the room . \nOptions: a ) 107 , b ) 153 , c ) 178 , d ) 198 , e ) 165", "output": [ "b" ] }, { "id": "task1420-0372d2af47334a77874afffa601a0e55", "input": "Problem: 5 men are equal to as many women as are equal to 8 boys . all of them earn rs . 90 only . men â € ™ s wages are ? \nOptions: a ) rs . 6 , b ) rs . 6.5 , c ) rs . 8 , d ) rs . 5 , e ) rs . 2", "output": [ "a" ] }, { "id": "task1420-7404c08b18f24a51bc25fa9a09def9f7", "input": "Problem: joe ’ s average ( arithmetic mean ) test score across 4 equally weighted tests was 70 . he was allowed to drop his lowest score . after doing so , his average test score improved to 75 . what is the lowest test score that was dropped ? \nOptions: a ) 20 , b ) 25 , c ) 55 , d ) 65 , e ) 80", "output": [ "c" ] }, { "id": "task1420-80b738b519964e0088248005a5d52ef7", "input": "Problem: what least no . must be subtracted from 50248 so that remaining no . is divisible by 20 ? \nOptions: a ) 3 , b ) 2 , c ) 4 , d ) 8 , e ) 6", "output": [ "d" ] }, { "id": "task1420-735e8321f6f44049a5bdca22479f56c4", "input": "Problem: a rope of which a calf is tied is increased from 12 m to 18 m , how much additional grassy ground shall it graze ? \nOptions: a ) 1217 , b ) 1219 , c ) 1210 , d ) 565.7 , e ) 1312", "output": [ "d" ] }, { "id": "task1420-e091d231ed87413da2f397ac69b69a12", "input": "Problem: 12.1212 + 17.0005 - 9.1103 = ? \nOptions: a ) 20.0015 , b ) 20.0105 , c ) 20.0115 , d ) 20.0114 , e ) none", "output": [ "d" ] }, { "id": "task1420-4fb8e4255c4e4d3cb88501632f3a581d", "input": "Problem: 70 % of x is greater than 1 / 3 rd of x by 110 . what is x ? \nOptions: a ) 100 , b ) 200 , c ) 300 , d ) 350 , e ) 400", "output": [ "c" ] }, { "id": "task1420-b6375397d89b44f89c63fddead4f8bab", "input": "Problem: a number when divided by 5 gives a number which is 8 more than the remainder obtained on dividing the same number by 34 . such a least possible number m is \nOptions: a ) 74 , b ) m = 75 , c ) m = 175 , d ) m = 680 , e ) 690", "output": [ "b" ] }, { "id": "task1420-cc99ca6a392e472595eb01be43ef4524", "input": "Problem: if the average of 5 positive integers is 70 and the difference between the largest and the smallest of these 5 numbers is 10 , what is the maximum value possible for the largest of these 5 integers ? \nOptions: a ) 50 , b ) 52 , c ) 69 , d ) 78 , e ) 84", "output": [ "d" ] }, { "id": "task1420-339fdb95161348f18b05e524f0dd9788", "input": "Problem: a 5 - digit number divisible by 3 is to be formed using numerical 0 , 1 , 2 , 3 , 4 and 5 without repetition . the total number q of ways this can be done is : \nOptions: a ) 122 , b ) 210 , c ) 216 , d ) 217 , e ) 225", "output": [ "c" ] }, { "id": "task1420-2a838bc044554e1ab48e71c1bd6c63a7", "input": "Problem: how many 9 - digits number are palindromic numbers ? a palindromic number reads the same forward and backward , example 123454321 . \nOptions: a ) 100 , b ) 610 , c ) 729 , d ) 900 , e ) 90000", "output": [ "e" ] }, { "id": "task1420-92f5fa873efb4a66ae1273ab08c636b6", "input": "Problem: a 100 - litre mixture of milk and water contains 36 litres of milk . ' x ' litres of this mixture is removed and replaced with an equal quantum of water . if the process is repeated once , then the concentration of the milk stands reduced at 25 % . what is the value of x ? \nOptions: a ) 17.5 litres , b ) 16.67 litres , c ) 17.67 litres , d ) 16.5 litres , e ) 16 litres", "output": [ "b" ] }, { "id": "task1420-3a11dda63a604ac2beb39d70cd0cad2e", "input": "Problem: if 20 liters of chemical x are added to 80 liters of a mixture that is 30 % chemical x and 70 % chemical y , then what percentage of the resulting mixture is chemical x ? \nOptions: a ) 32 % , b ) 35 % , c ) 38 % , d ) 41 % , e ) 44 %", "output": [ "e" ] }, { "id": "task1420-1e1630217c96488eaf39b665f8f29da6", "input": "Problem: chris age after 20 years will be 5 times his age 5 years back . what is the present age of chris ? \nOptions: a ) a ) 20 , b ) b ) 25 , c ) c ) 15 , d ) d ) 22 , e ) e ) 5", "output": [ "e" ] }, { "id": "task1420-4e53c0ff866b474d9dd71106699f1c1b", "input": "Problem: 8 : 18 : : 24 : ? \nOptions: a ) 38 , b ) 32 , c ) 44 , d ) 43 , e ) 42", "output": [ "a" ] }, { "id": "task1420-5a6c96be66e74580b6d18960b6174c6b", "input": "Problem: what is the sum of 60 consecutive integers from - 30 inclusive , in a increasing order ? \nOptions: a ) - 29 , b ) 29 , c ) - 30 , d ) 30 , e ) 60", "output": [ "c" ] }, { "id": "task1420-982c7605441c401e9492a474cfade059", "input": "Problem: 4 / 15 of 5 / 7 of a number is greater than 4 / 9 of 2 / 5 of the same number by 8 . what is half of that number ? \nOptions: a ) 305 , b ) 315 , c ) 345 , d ) 325 , e ) 335", "output": [ "b" ] }, { "id": "task1420-f2a4d53567b94909b88bfd8c8f3d8f75", "input": "Problem: find the value of x from the below equation ? : 3 x ^ 2 + 5 x + 2 = 0 \nOptions: a ) - 1 , b ) - 2 , c ) 1 , d ) 2 , e ) 3", "output": [ "a" ] }, { "id": "task1420-8b8002edc4da4449a242a9f1e81d2456", "input": "Problem: a die is rolled twice . what is the probability of getting a sum equal to 12 ? \nOptions: a ) 1 / 36 , b ) 1 / 9 , c ) 1 / 7 , d ) 1 / 24 , e ) 2 / 36", "output": [ "a" ] }, { "id": "task1420-f217b5b445ab4201a66bd21102b6fd6d", "input": "Problem: a student has to obtain 33 % of the total marks to pass . he got 125 marks and failed by 40 marks . the maximum marks are ? \nOptions: a ) 450 , b ) 300 , c ) 500 , d ) 610 , e ) 175", "output": [ "c" ] }, { "id": "task1420-dafd5a7da18f4566940392f34b7d9ec6", "input": "Problem: in february wilson ’ s earnings were 40 percent of his family ’ s total income . in march wilson earned 25 percent less than in february . if the rest of his family ’ s income was the same in both months , then , in march , wilson ’ s earnings were approximately what percent q of his family ’ s total income ? \nOptions: a ) 15 % , b ) 17 % , c ) 24 % , d ) 30 % , e ) 33 %", "output": [ "e" ] }, { "id": "task1420-068455853107428eaad2f0b8f93e2685", "input": "Problem: if 2 ^ 4 , 3 ^ 3 , and 13 ^ 3 are factors of the product of 1,452 and w , where w is a positive integer , what is the smallest possible value of w ? \nOptions: a ) 198 , b ) 288 , c ) 363 , d ) 396 , e ) 468", "output": [ "e" ] }, { "id": "task1420-a3f6e1c859714df99d0ea646173b7cd1", "input": "Problem: what is the average of first 21 multiples of 6 ? \nOptions: a ) a ) 66 , b ) b ) 77 , c ) c ) 79 , d ) d ) 81 , e ) e ) 82", "output": [ "a" ] }, { "id": "task1420-2a47a1e03272487aa6e8d6120eff3139", "input": "Problem: a certain bus driver is paid a regular rate of $ 16 per hour for any number of hours that does not exceed 40 hours per week . for any overtime hours worked in excess of 40 hours per week , the bus driver is paid a rate that is 75 % higher than his regular rate . if last week the bus driver earned $ 1004 in total compensation , how many total hours did he work that week ? \nOptions: a ) 36 , b ) 40 , c ) 44 , d ) 48 , e ) 53", "output": [ "e" ] }, { "id": "task1420-b4d883d64edf498495891f247e0f378c", "input": "Problem: in an office , totally there are 5200 employees and 45 % of the total employees are males . 50 % of the males in the office are at - least 50 years old . find the number of males aged below 50 years ? \nOptions: a ) 1040 , b ) 1170 , c ) 1150 , d ) 4160 , e ) none of these", "output": [ "b" ] }, { "id": "task1420-cc3b7bae1aa44c1cab31075310bb1fa5", "input": "Problem: how many of the positive divisors d of 120 are also multiples of 4 not including 120 ? \nOptions: a ) 3 . , b ) 4 . , c ) 5 . , d ) 7 . , e ) 8 .", "output": [ "d" ] }, { "id": "task1420-8ec47118d32344f7a5ed3d02e40a66a8", "input": "Problem: the simple interest on a sum of money will be rs . 1400 after 10 years . if the principal is trebled after 5 years what will be the total interest at the end of the tenth year ? \nOptions: a ) 2800 , b ) 3799 , c ) 1200 , d ) 2693 , e ) 1732", "output": [ "a" ] }, { "id": "task1420-6a3768f436814399a64bc5b447592add", "input": "Problem: a batsman scored 130 runs which included 3 boundaries and 8 sixes . what percent of his total score did he make by running between the wickets ? \nOptions: a ) 45 ( 4 / 11 ) % , b ) 45 % , c ) 53 ( 11 / 13 ) % , d ) 44 ( 5 / 11 ) % , e ) none of these", "output": [ "c" ] }, { "id": "task1420-57a710d8a07c4d749e6d23c1588478ce", "input": "Problem: if a and b are the roots of the equation x 2 - 7 x + 7 = 0 , then the value of a 2 + b 2 is : \nOptions: a ) 35 , b ) 24 , c ) 17 , d ) 6 , e ) 5", "output": [ "a" ] }, { "id": "task1420-e5f8a119cad94dffb5631e3ed3546faf", "input": "Problem: 1904 x 1904 = ? \nOptions: a ) 3623216 , b ) 3624216 , c ) 3624316 , d ) 3625116 , e ) 3625216", "output": [ "e" ] }, { "id": "task1420-ff970ac1853845de87c728292a93414b", "input": "Problem: if 3 ^ x * 4 ^ y = 19,683 and x – y = 9 , then x = ? \nOptions: a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 12", "output": [ "b" ] }, { "id": "task1420-86775da2321748fbb79b68dd8a9046ff", "input": "Problem: find the numbers which are in the ratio 3 : 2 : 4 such that the sum of the first and the second added to the difference of the third and the second is 28 ? \nOptions: a ) 4 , 3,22 , b ) 4 , 4,22 , c ) 12 , 6,16 , d ) 9 , 6,12 , e ) 9 , 2,23", "output": [ "c" ] }, { "id": "task1420-3b87c8b703694722b088edbf78d4f552", "input": "Problem: find the lowest common multiple of 24 , 36 and 42 . \nOptions: a ) 360 , b ) 504 , c ) 510 , d ) 320 , e ) 280", "output": [ "b" ] }, { "id": "task1420-b91524b108d74f669e3dab7d597d6e10", "input": "Problem: if bill can buy 3 pairs of jeans and 2 shirts for $ 69 or 2 pairs of jeans and 3 shirts for $ 86 , how much does one shirt cost ? \nOptions: a ) $ 10 , b ) $ 12 , c ) $ 13.20 , d ) $ 15 , e ) $ 24", "output": [ "e" ] }, { "id": "task1420-0804df97007e4da3bc1ab6ff1269dc1c", "input": "Problem: a number when divided by 5 gives a number which is 8 more than the remainder obtained on dividing the same number by 34 . such a least possible number x is \nOptions: a ) 74 , b ) x = 75 , c ) x = 175 , d ) x = 680 , e ) 690", "output": [ "b" ] }, { "id": "task1420-9d281da50aa94fcd96ba0bc62ad549db", "input": "Problem: the population of a city increases by 8 % per year but due to migration it decrease by 1 % per years . what will be the percentage increase in population in 3 years ? \nOptions: a ) 9 % , b ) 9.27 % , c ) 22.50 % , d ) 12 % , e ) none of these", "output": [ "c" ] }, { "id": "task1420-d82465925adc42efba39f8e713d7308d", "input": "Problem: if grapes are 91 % water and raisins are 19 % water , then how many kilograms did a quantity of raisins , which currently weighs 9 kilograms , weigh when all the raisins were grapes ? ( assume that the only difference between their raisin - weight and their grape - weight is water that evaporated during their transformation . ) \nOptions: a ) 63 , b ) 72 , c ) 81 , d ) 90 , e ) 99", "output": [ "c" ] }, { "id": "task1420-7a0d6212d0b2466fb77843841a2755ee", "input": "Problem: louie takes out a 3 - month loan of $ 1000 . the lender charges him 10 % interest per month compunded monthly . the terms of the loan state that louie must repay the loan in 3 equal monthly payments . to the nearest dollar , how much does louie have to pay each month ? \nOptions: a ) 333 , b ) 383 , c ) 402 , d ) 433 , e ) 483", "output": [ "c" ] }, { "id": "task1420-90c2de4e6b15447ca7ca6d875189e3cf", "input": "Problem: 4 , 12 , 48 , 240 , 1440 , 10080,80640 ( . . . ) \nOptions: a ) 7620 , b ) 10080 , c ) 6200 , d ) 10020 , e ) 725760", "output": [ "e" ] }, { "id": "task1420-7205faa4ba634f2d80d952ae966fd323", "input": "Problem: if log 4 x + log 4 ( 1 / 6 ) = 1 / 2 then the value of x is ? \nOptions: a ) 18 , b ) 24 , c ) 16 , d ) 12 , e ) 10", "output": [ "d" ] }, { "id": "task1420-243d4cb691ee43bf892d04eb6ed0bd44", "input": "Problem: ( 0.96 ) ( power 3 ) - ( 0.1 ) ( power 3 ) / ( 0.96 ) ( power 2 ) + 0.096 + ( 0.1 ) ( power 2 ) is : \nOptions: a ) 0.68 , b ) 0.086 , c ) 0.86 , d ) 0.068 , e ) none of them", "output": [ "c" ] }, { "id": "task1420-a0bb526a02ea4098a28380cd19b130bd", "input": "Problem: when 1 / 10 % of 4,000 is subtracted from 1 / 10 of 4,000 , the difference is \nOptions: a ) 50 , b ) 200 , c ) 396 , d ) 398 , e ) 400", "output": [ "c" ] }, { "id": "task1420-79b8aed8ea2e43898703783dc69a3716", "input": "Problem: find the value of 80641 x 9999 = m ? \nOptions: a ) 807518799 , b ) 806436469 , c ) 807538799 , d ) 806329359 , e ) 817431046", "output": [ "d" ] }, { "id": "task1420-0f96475b2c4f40c4b06a1038928ed0f3", "input": "Problem: a certain manufacturer produces items for which the production costs consist of annual fixed costs totaling $ 130,000 and variables costs averaging $ 11 per item . if the manufacturer ’ s selling price per item is $ 15 , how many items the manufacturer produce and sell to earn an annual profit of $ 150,000 ? \nOptions: a ) 2,858 , b ) 8,667 , c ) 21,429 , d ) 35,000 , e ) 70,000", "output": [ "e" ] }, { "id": "task1420-e480384f8bec4d10994e8b4529e4b140", "input": "Problem: if p # q denotes the least common multiple of p and q , then p = ( ( 12 # 16 ) # ( 18 # 24 ) ) = ? \nOptions: a ) 216 , b ) 180 , c ) 144 , d ) 108 , e ) 72", "output": [ "c" ] }, { "id": "task1420-48912ef82d3142c6b3c1d66ef98bbb92", "input": "Problem: if x is real , find the maximum value of the expression - 2 x ^ 2 + 5 x + 7 . \nOptions: a ) 6.125 , b ) 8.125 , c ) 10.125 , d ) 12.125 , e ) 14.125", "output": [ "c" ] }, { "id": "task1420-75c2b05588304d41935bf6da781d9f8b", "input": "Problem: a straight line in the xy - plane has y - intercept of 20 . on this line the x - coordinate of the point is 150 and y - coordinate is 600 then what is the slope of the line ? \nOptions: a ) 3.9 , b ) 4.6 , c ) 5.2 , d ) 6 , e ) 8.1", "output": [ "a" ] }, { "id": "task1420-4090345f276e4d87825ce7cfaaefcad2", "input": "Problem: find the sum the difference between the compound and s . i . on a certain sum of money for 2 years at 10 % per annum is rs . 15 of money ? \nOptions: a ) 1500 , b ) 2677 , c ) 1997 , d ) 2677 , e ) 1971", "output": [ "a" ] }, { "id": "task1420-48bdfb22f6d84b438ac6d414f2527487", "input": "Problem: calculate 42120 ÷ ? = 195 \nOptions: a ) 212 , b ) 219 , c ) 217 , d ) 213 , e ) 216", "output": [ "e" ] }, { "id": "task1420-a18ddc01cf05431e834dc8e53ede16b2", "input": "Problem: an engineer designed a ball so that when it was dropped , it rose with each bounce exactly one - half as high as it had fallen . the engineer dropped the ball from a 16 - meter platform and caught it after it had traveled 32.5 meters . how many times did the ball bounce ? \nOptions: a ) 2 , b ) 6 , c ) 7 , d ) 8 , e ) 9", "output": [ "a" ] }, { "id": "task1420-8967141f13074150872522be6414df8c", "input": "Problem: the total age of a and b is 11 years more than the total age of b and c . c is how many year younger than \nOptions: a ) 14 years , b ) 12 years , c ) 56 years , d ) 66 years , e ) 11 years", "output": [ "e" ] }, { "id": "task1420-ee974ec8fc1f40ff80047dd03f0d6b43", "input": "Problem: in a can , there is a mixture of milk and water in the ratio 4 : 3 . if the can is filled with an additional 8 liters of milk , the can would be full and the ratio of milk and water would become 2 : 1 . find the capacity of the can ? \nOptions: a ) 40 , b ) 36 , c ) 32 , d ) 28 , e ) 24", "output": [ "b" ] }, { "id": "task1420-95d13d534e79462c853b65446611b29d", "input": "Problem: how many 4 - digit positive integers are multiple of each integer from 1 to 10 \nOptions: a ) 1520 , b ) 2520 , c ) 3520 , d ) 5140 , e ) 7660", "output": [ "b" ] }, { "id": "task1420-f607fed5192745afab79b36e8a3d465b", "input": "Problem: a car travels from point a to point b . the average speed of the car is 60 km / hr and it travels the first half of the trip at a speed of 75 km / hr . what is the speed of the car in the second half of the trip ? \nOptions: a ) 40 , b ) 45 , c ) 48 , d ) 50 , e ) 55", "output": [ "d" ] }, { "id": "task1420-baebd94dc7eb409bbdd0ccff56905095", "input": "Problem: how many digits 2 ^ 200 has ? \nOptions: a ) 31 , b ) 61 , c ) 50 , d ) 99 , e ) 101", "output": [ "b" ] }, { "id": "task1420-0ef795cec4314b7ba00eb92258c767da", "input": "Problem: a certain pair of used shoes can be repaired for $ 14.50 and will last for 1 year . a pair of the same kind of shoes can be purchased new for $ 32.00 and will last for 2 years . the average cost per year of the new shoes is what percent greater than the cost of repairing the used shoes ? \nOptions: a ) 16 , b ) 10.34 , c ) 12.46 , d ) 11.2 , e ) 14", "output": [ "b" ] }, { "id": "task1420-a2794bb9482648f78a4b48a738b770bc", "input": "Problem: in a party every person shakes hands with every other person . if there were a total of 153 handshakes in the party then what is the number of persons present in the party ? \nOptions: a ) 15 , b ) 16 , c ) 17 , d ) 18 , e ) 19", "output": [ "d" ] }, { "id": "task1420-606c3152c604497b9fd1332ee063143c", "input": "Problem: in a division , divident is 689 , divisior is 36 and quotient is 19 . find the remainder . \nOptions: a ) 4 , b ) 3 , c ) 2 , d ) 5 , e ) 6", "output": [ "d" ] }, { "id": "task1420-2c855c7c82ed4b7eb99577754fca8846", "input": "Problem: by approximately what percent is x greater than 1 / 3 if ( 2 / 3 ) ( x ) = 1 ? \nOptions: a ) 173 % , b ) 516 % , c ) 461 % , d ) 350 % , e ) 290 %", "output": [ "d" ] }, { "id": "task1420-5a1f94cf08034a03ae99651ddf10d840", "input": "Problem: in a group of cows and chickens , the number of legs was 18 more than twice the number of heads . the number of cows was : \nOptions: a ) 5 , b ) 7 , c ) 9 , d ) 12 , e ) 14", "output": [ "c" ] }, { "id": "task1420-74e9a1b2e29548cdaf8f973cce2caf87", "input": "Problem: all the students of class are told to sit in circle shape . here the boy at the 8 th position is exactly opposite to 33 th boy . total number of boys in the class ? \nOptions: a ) 40 , b ) 50 , c ) 28 , d ) 38 , e ) 48", "output": [ "b" ] }, { "id": "task1420-f457174251fc417bacec1e74771477d6", "input": "Problem: ( x + 3 ) is a factor in x ^ 2 - mx - 15 . what is the value of m ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "b" ] }, { "id": "task1420-e61ddc5f85d3482dbf9bc18a20253515", "input": "Problem: what is the dividend ? the divisor is 800 , the quotient is 594 , and the remainder is - 968 . \nOptions: a ) 6623 , b ) 43036 , c ) 51515 , d ) 474232 , e ) 2025", "output": [ "d" ] }, { "id": "task1420-0832c053a45549c39d4bc92797b502fb", "input": "Problem: subtract . simplify your answer and write it as a proper fraction or as a whole or mixed number . 4 / 5 - 1 / 5 = \nOptions: a ) 1 / 5 , b ) 2 / 5 , c ) 3 / 5 , d ) 4 / 5 , e ) 5 / 5", "output": [ "c" ] }, { "id": "task1420-46cd7cc5a1744a0cb3d9ec5edec307c3", "input": "Problem: an army ’ s recruitment process included n rounds of selection tasks . for the first a rounds , the rejection percentage was 60 percent per round . for the next b rounds , the rejection percentage was 50 percent per round and for the remaining rounds , the selection percentage was 70 percent per round . if there were 10000 people who applied for the army and 350 were finally selected , what was the value of n ? \nOptions: a ) 4 , b ) 5 , c ) 6 , d ) 9 , e ) 8", "output": [ "d" ] }, { "id": "task1420-9b1801fd59ca4cee9619853c4f3957b9", "input": "Problem: the total price of a basic computer and printer are $ 2,500 . if the same printer had been purchased with an enhanced computer whose price was $ 500 more than the price of the basic computer , then the price of the printer would have been 1 / 3 of that total . what was the price of the basic computer ? \nOptions: a ) 1500 , b ) 1600 , c ) 1750 , d ) 1900 , e ) 2000", "output": [ "a" ] }, { "id": "task1420-78889984f40e4e269a72da18b97ca55d", "input": "Problem: a 40 - liter solution of alcohol and water is 5 percent alcohol . if 4.5 liters of alcohol and 5.5 liters of water are added to this solution , what percent of the solution produced is alcohol ? \nOptions: a ) 7 % , b ) 10 % , c ) 13 % , d ) 16 % , e ) 19 %", "output": [ "c" ] }, { "id": "task1420-18443b8c14114930b07be89c0ab0f564", "input": "Problem: the average age of a group of n people is 14 years old . one more person aged 32 joins the group and the new average is 16 years old . what is the value of n ? \nOptions: a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 9", "output": [ "d" ] }, { "id": "task1420-9959e5d836be439caa49d2919526a053", "input": "Problem: the sum of ages of 5 children born 2 years different each is 40 years . what is the age of the elder child ? \nOptions: a ) 12 , b ) 9 , c ) 10 , d ) 16 , e ) 17", "output": [ "a" ] }, { "id": "task1420-231ff88848f54bbcb8bc91fe15c9c255", "input": "Problem: if the average ( arithmetic mean ) of a and b is 110 , and the average of b and c is 150 , what is the value of a − c ? \nOptions: a ) − 220 , b ) − 100 , c ) 100 , d ) − 80 , e ) it can not be determined from the information given", "output": [ "d" ] }, { "id": "task1420-28777bb872574b5ab56c778cd4bcd24e", "input": "Problem: on a certain day , orangeade was made by mixing a certain amount of orange juice with an equal amount of water . on the next day , orangeade was made by mixing the same amount of orange juice with twice the amount of water . on both days , all the orangeade that was made was sold . if the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $ 0.60 per glass on the first day , what was the price per glass on the second day ? \nOptions: a ) $ 0.15 , b ) $ 0.20 , c ) $ 0.30 , d ) $ 0.40 , e ) $ 0.45", "output": [ "d" ] }, { "id": "task1420-4ef9503c43f245ac83ba4d7e8557fbcf", "input": "Problem: mr yadav spends 60 % of his monthly salary on consumable items and 50 % of the remaining on clothes and transport . he saves the remaining amount . if his savings at the end of the year were 46800 , how much amount per month would he have spent on clothes and transport ? \nOptions: a ) 4038 , b ) 8076 , c ) 9691.2 , d ) 4845.6 , e ) 3900", "output": [ "e" ] }, { "id": "task1420-25cb598d413440cc82a2a5779ff7ec01", "input": "Problem: when n is divided by 5 the remainder is 3 . what is the remainder when n ^ 2 is divided by 5 ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4", "output": [ "e" ] }, { "id": "task1420-37eb0ca2c6ea40dd8029885f3d7e831e", "input": "Problem: the difference between the place values of two sevens in the numerical 69758472 is \nOptions: a ) 0 , b ) 6993 , c ) 699930 , d ) 996330 , e ) none of them", "output": [ "c" ] }, { "id": "task1420-c0073cd983a74d10a903eb59ed9bfea3", "input": "Problem: find the length of the wire required to go 15 times round a square field containing 69696 m ^ 2 . \nOptions: a ) 1250 , b ) 2489 , c ) 6398 , d ) 15840 , e ) 2487", "output": [ "d" ] }, { "id": "task1420-f6deaad57d234156b7777156efc908e7", "input": "Problem: the average of 11 numbers is 500 . out of 11 numbers the average of first 6 no . is 50 , and last 6 numbers is 60 then find 6 th number ? \nOptions: a ) 95 , b ) 80 , c ) 110 , d ) 120 , e ) 72", "output": [ "c" ] }, { "id": "task1420-74c08bdb3f784e18ac455d94e8a6069b", "input": "Problem: if rs . 544 be divided among a , b , c in such a way that a gets 2 / 3 of what b gets and b gets 1 / 4 of what c gets , then their shares are respectively ? \nOptions: a ) s . 300 , b ) s . 360 , c ) s . 389 , d ) s . 384 , e ) s . 323", "output": [ "d" ] }, { "id": "task1420-7d2a379cf6fe4458819190982a171381", "input": "Problem: 1 , 3,5 , 7,9 , . . 50 find term of sequnce \nOptions: a ) 1230 , b ) 1300 , c ) 1500 , d ) 1679 , e ) 2500", "output": [ "e" ] }, { "id": "task1420-797b2de9e32e496385894aec1b0b77e3", "input": "Problem: if 1 / 5 th of a number decreased by 5 is 5 , then the number is \nOptions: a ) 25 , b ) 50 , c ) 60 , d ) 75 , e ) none", "output": [ "b" ] }, { "id": "task1420-a0069f4b693c4d06a8247943190afd8c", "input": "Problem: if 20 % of a class averages 80 % on a test , 50 % of the class averages 60 % on the test , and the remainder of the class averages 40 % on the test , what is the overall class average ? \nOptions: a ) 80 % , b ) 74 % , c ) 58 % , d ) 56 % , e ) 50 %", "output": [ "c" ] }, { "id": "task1420-2092dd9360d74ea591f5e64dbafaaf73", "input": "Problem: find √ ? / 19 = 4 ? \nOptions: a ) 76 , b ) 5776 , c ) 304 , d ) 1296 , e ) none", "output": [ "b" ] }, { "id": "task1420-9abb2829f2d74bbfb3e337d1e3dc1514", "input": "Problem: if [ x ] is the greatest integer less than or equal to x , what is the value of [ 1.6 ] + [ - 3.4 ] + [ 10.7 ] ? \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "e" ] }, { "id": "task1420-567539bae612496ba4649e3d9742afbd", "input": "Problem: if @ is a binary operation defined as the difference between an integer n and the product of n and 5 , then what is the largest positive integer n such that the outcome of the binary operation of n is less than 14 ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "c" ] }, { "id": "task1420-3848a6fa2bcf40cf9b370b73e2c37058", "input": "Problem: if x = - 6 and y = - 3 , what is the value of 4 ( x - y ) ^ 2 - xy ? \nOptions: a ) 20 , b ) 18 , c ) 17 , d ) 22 , e ) 23", "output": [ "b" ] }, { "id": "task1420-c86ab626608e4dae827d73f87d5a7f58", "input": "Problem: the tax on a commodity is diminished by 15 % and its consumption increased by 10 % . the effect on revenue is ? \nOptions: a ) 8.5 , b ) 6.5 , c ) 5.5 , d ) 5.6 , e ) 4.4", "output": [ "b" ] }, { "id": "task1420-0b1ff830a2234eecac291adac030ced6", "input": "Problem: there are 8 baskets numbered from 1 to 8 and filled with apples . 10 children are asked to pick apples one by one from each basket such that the number of apples picked by each child from each basket is equal to the number marked on the basket . if there were 1000 apples in total and the baskets were filled in such a way that none of the basket became empty in the process , how many apples were left in the end ? \nOptions: a ) 640 , b ) 680 , c ) 720 , d ) 760 , e ) 800", "output": [ "a" ] }, { "id": "task1420-2907daf1ef9d402b998b9b3e6d1b378a", "input": "Problem: on an order of 99 dozen boxes of a consumer product , a retailer receives an extra dozen free . this is equivalent to allowing him a discount of : \nOptions: a ) 0.1 % , b ) 0.5 % , c ) 1 % , d ) 5 % , e ) 10 %", "output": [ "c" ] }, { "id": "task1420-343e2a95489a42f8a113b36301458997", "input": "Problem: x , y , and z are different prime numbers . the product x ^ 2 * y ^ 2 * z is divisible by how many different positive numbers ? \nOptions: a ) 6 , b ) 8 , c ) 12 , d ) 18 , e ) 24", "output": [ "d" ] }, { "id": "task1420-a37f142cc4414b27819e38a1a52ccf67", "input": "Problem: tough and tricky questions : word problems . if bill ' s salary increased by 16 percent , he would earn $ 812 per month . if instead , his salary were to increase by only 10 percent , how much money r would he earn per month ? \nOptions: a ) $ 700 , b ) $ 754 , c ) $ 770 , d ) $ 782 , e ) $ 893", "output": [ "c" ] }, { "id": "task1420-cd93244d3ba34a1ca941e8520c5b7c6b", "input": "Problem: solve below question 2 x + 1 = - 11 \nOptions: a ) - 8 , b ) - 6 , c ) 9 , d ) 8 , e ) - 7", "output": [ "b" ] }, { "id": "task1420-3221a8b90c4240ff9108bbfd5b512199", "input": "Problem: the avg weight of a , b & c is 84 kg . if d joins the group , the avg weight of the group becomes 80 kg . if another man e who weights is 3 kg more than d replaces a , then the avgof b , c , d & e becomes 79 kg . what is the weight of a ? \nOptions: a ) 45 , b ) 65 , c ) 75 , d ) 89 , e ) 90", "output": [ "c" ] }, { "id": "task1420-370f37cb4adb41a2805222952e19d60d", "input": "Problem: if n is a prime number greater than 11 , what is the remainder when n ^ 2 is divided by 12 ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 5", "output": [ "b" ] }, { "id": "task1420-8181f0ce9b504c768173eee407860337", "input": "Problem: on a test , the boys in the class averaged 90 points and the girls in the class averaged 96 points . if the overall class average was 94 points , what is the ratio of boys to girls in the class ? \nOptions: a ) 1 / 2 , b ) 2 / 3 , c ) 3 / 4 , d ) 3 / 5 , e ) 4 / 5", "output": [ "a" ] }, { "id": "task1420-0ba774567107433a8d43f331741cf24a", "input": "Problem: x + ( 1 / x ) = 1.5 find x ^ 2 + ( 1 / x ^ 2 ) \nOptions: a ) 2.25 , b ) 3.25 , c ) 4.25 , d ) 5.25 , e ) 0.25", "output": [ "e" ] }, { "id": "task1420-8d12fe7d9e494951a5ddf15792b84b69", "input": "Problem: the rate of interest on a sum of money is 3 % p . a . for the first 3 years , 4 % p . a . for the next 4 years , and 5 % for the period beyond 7 years . if the s . i , occurred on the sum for the total period of 8 years is rs . 540 / - , the sum is \nOptions: a ) 1,200 , b ) 1,800 , c ) 2,100 , d ) 2,250 , e ) 2,540", "output": [ "b" ] }, { "id": "task1420-bdf2ddf650fa458a8c42a80ccc7dde0b", "input": "Problem: the average ( arithmetic mean ) of 20 , 40 , and 60 is 5 more than the average of 10 , 50 , and what number ? \nOptions: a ) 40 , b ) 45 , c ) 55 , d ) 45 , e ) 50", "output": [ "d" ] }, { "id": "task1420-b51c69b18adc4d25b0ba59ddd68aa3d1", "input": "Problem: sam wrote 7 letters on tuesday and 3 letters on wednesday . how many letters did he write on average per day ? \nOptions: a ) 10 , b ) 4 , c ) 21 , d ) 3 , e ) 5", "output": [ "e" ] }, { "id": "task1420-532a6885478a495dbf62893c0b07152a", "input": "Problem: two heavily loaded sixteen - wheeler transport trucks are 787 kilometers apart , sitting at two rest stops on opposite sides of the same highway . driver a begins heading down the highway driving at an average speed of 90 kilometers per hour . exactly one hour later , driver b starts down the highway toward driver a , maintaining an average speed of 80 kilometers per hour . how many kilometers farther than driver b , will driver a have driven when they meet and pass each other on the highway ? \nOptions: a ) 90 , b ) 131 , c ) 150 , d ) 320 , e ) 450", "output": [ "b" ] }, { "id": "task1420-cf74a5f31e474acc8b50456ff40681bf", "input": "Problem: two employees m and n are paid a total of $ 583 per week by their employer . if m is paid 120 percent of the salary paid to n , how much is n paid per week ? \nOptions: a ) $ 245 , b ) $ 255 , c ) $ 265 , d ) $ 275 , e ) $ 285", "output": [ "c" ] }, { "id": "task1420-2740a56158f54df0abb8302f5682f2a0", "input": "Problem: what is the 10 th digit to the right of the decimal point in the decimal equivalent of 124 / 22 ? \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 7 , e ) 6", "output": [ "b" ] }, { "id": "task1420-39d4c763353b486d9a6700bac9fa4733", "input": "Problem: in an organisation there are 1000 employees out of which 250 earn below 10 k $ and 500 earn between 10 k $ and 50 k $ . what is the total percentage of employees who earn less than 50 k $ ? \nOptions: a ) 66 % , b ) 75 % , c ) 70 % , d ) 50 % , e ) 82 %", "output": [ "b" ] }, { "id": "task1420-6cd8733ec1954a05b1d2a4f3ad4f3594", "input": "Problem: if the sales tax reduced from 3 1 / 2 % to 3 1 / 3 % , then what difference does it make to a person who purchases an article with market price of rs . 9000 ? \nOptions: a ) 11 , b ) 13 , c ) 15 , d ) 18 , e ) 10", "output": [ "c" ] }, { "id": "task1420-93d61b4214da460d998c5edc68dd49d9", "input": "Problem: a sum of money is put out at compound interest for 2 years at 20 % . it would fetch rs . 241 more if the interest were payable half - yearly , then it were pay able yearly . find the sum . \nOptions: a ) 12200 , b ) 11897 , c ) 18799 , d ) 10000 , e ) 12782", "output": [ "d" ] }, { "id": "task1420-4ab2e66d690d4e1dae4a3cd013f7985f", "input": "Problem: when positive integer x is divided by positive integer y , the remainder is 7 . if x / y = 86.1 , what is the value of y ? \nOptions: a ) 72 , b ) 71 , c ) 70 , d ) 30 , e ) 45", "output": [ "c" ] }, { "id": "task1420-d7a8e3900625467bb6fc170250d7e357", "input": "Problem: for 2 consecutive yrs , my incomes are in the ratio of 4 : 7 and expenses in the ratio of 3 : 5 . if my income in the 2 nd yr is rs . 42000 & my expenses in the first yr in rs . 22000 , my total savings for the two - year is \nOptions: a ) s . 8000 , b ) s . 9000 , c ) s . 9900 , d ) s . 9990 , e ) s . 10000", "output": [ "b" ] }, { "id": "task1420-61a22188c56a4c18af481b6049be93a4", "input": "Problem: if the sum of two numbers is 60 and the h . c . f and l . c . m of these numbers are 3 and 120 respectively , then the sum of the reciprocal of the numbers is equal to : \nOptions: a ) 2 / 9 , b ) 4 / 5 , c ) 1 / 6 , d ) 6 / 6 , e ) 3 / 9", "output": [ "c" ] }, { "id": "task1420-a0611221ee024b39bd9c5f50517446b8", "input": "Problem: ( 1.1 + 1.1 + 1.1 + 1.1 ) x 1.1 x 1.1 = ? = ? x 0.121 \nOptions: a ) 54 , b ) 33 , c ) 44 , d ) 22 , e ) 26", "output": [ "c" ] }, { "id": "task1420-36bcf215bbdb49e2a8653cb18cc051c6", "input": "Problem: what is the smallest number which , when increased by 5 , is divisible by 7 , 8 , and 24 ? \nOptions: a ) 148 , b ) 153 , c ) 158 , d ) 163 , e ) 168", "output": [ "d" ] }, { "id": "task1420-0f6f6cfea6704640a8fb49565f227f67", "input": "Problem: according to the directions on the can of frozen orange juice concentrate , 1 can of concentrate is to be mixed with 3 cans of water to make orange juice . how many 12 ounces cans of the concentrate are required to prepare 240 6 ounces servings of orange juice ? \nOptions: a ) a ) 25 , b ) b ) 34 , c ) c ) 50 , d ) d ) 67 , e ) e ) 30", "output": [ "e" ] }, { "id": "task1420-7848561430c94ebb8356b77dcfeb04e6", "input": "Problem: in the game of dubblefud , red balls , blue balls and green balls are each worth 2 , 4 and 5 points respectively . in a certain selection of balls , the product of the point values of the balls is 16000 . if the number of blue balls in this selection equals the number of green balls , how many red balls are in the selection ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "d" ] }, { "id": "task1420-204ddd45243e443f99dfac813e016df7", "input": "Problem: the average age of 15 students of a class is 15 years . out of these , the average age of 4 students is 14 years and that of the other 10 students is 16 years , the age of the 15 th student is \nOptions: a ) 11 , b ) 12 , c ) 9 , d ) 14 , e ) 15", "output": [ "c" ] }, { "id": "task1420-19472e392ac74baa830fe068ba08f9ba", "input": "Problem: john has 10 pairs of matched socks . if he loses 9 individual socks , what is the greatest number of pairs of matched socks he can have left ? \nOptions: a ) 7 , b ) 6 , c ) 5 , d ) 4 , e ) 3", "output": [ "c" ] }, { "id": "task1420-fca428f2b88d46408c56896c1821d4b5", "input": "Problem: suzie ’ s discount footwear sells all pairs of shoes for one price and all pairs of boots for another price . on monday the store sold 22 pairs of shoes and 16 pairs of boots for $ 580 . on tuesday the store sold 8 pairs of shoes and 32 pairs of boots for $ 800 . how much more do pairs of boots cost than pairs of shoes at suzie ’ s discount footwear ? \nOptions: a ) $ 10.50 , b ) $ 12.50 , c ) $ 11.50 , d ) $ 16.50 , e ) $ 9.50", "output": [ "b" ] }, { "id": "task1420-ad25294b81454a1ab03c2bea3c6a60fe", "input": "Problem: jennifer had $ 150 to spend on herself . she spent 1 / 5 of the money on a sandwich , 1 / 6 for a ticket to a museum , and 1 / 2 of it on a book . how much money does jennifer have left over ? \nOptions: a ) $ 4 , b ) $ 14 , c ) $ 5 , d ) $ 15 , e ) $ 20", "output": [ "e" ] }, { "id": "task1420-2a3911c8a78c4bd498877d5acef1ab13", "input": "Problem: the product of 4 consecutive even numbers is always divisible by : \nOptions: a ) 384 , b ) 350 , c ) 400 , d ) 200 , e ) 250", "output": [ "a" ] }, { "id": "task1420-d5249b6a0aef4fce9050261a94dc371a", "input": "Problem: each week a restaurant serving mexican food uses the same volume of chili paste , which comes in either 35 - ounce cans or 25 - ounce cans of chili paste . if the restaurant must order 20 more of the smaller cans than the larger cans to fulfill its weekly needs , then how manysmallercans are required to fulfill its weekly needs ? \nOptions: a ) 60 , b ) 70 , c ) 80 , d ) 100 , e ) 120", "output": [ "b" ] }, { "id": "task1420-6207b9e9ea1948b893d6459fa87c9c9b", "input": "Problem: alice picked a number of pears , each of which she sold , canned , or poached . she canned 20 percent more than she poached , and she poached 50 percent less than she sold . if there were a total of 42 pears , then how many pears did she sell ? \nOptions: a ) 20 , b ) 21 , c ) 22 , d ) 23 , e ) 24", "output": [ "a" ] }, { "id": "task1420-22150946fdcf456e88ebefe7c0ba3168", "input": "Problem: the average weight of 8 persons increases by 1.5 kg when a person weighting 65 kg is replaced by a new person . what could be the weight of the new person ? \nOptions: a ) 67 kg , b ) 77 kg , c ) 87 kg , d ) 97 kg , e ) none of these", "output": [ "b" ] }, { "id": "task1420-f897d9ddb2914406b72863f8d1be2705", "input": "Problem: if n = 2 ^ 0.15 and n ^ b = 64 , b must equal \nOptions: a ) 3 / 80 , b ) 3 / 5 , c ) 40 , d ) 5 / 3 , e ) 80 / 3", "output": [ "c" ] }, { "id": "task1420-0f483e651a2a43dbb891c97bf82037b0", "input": "Problem: a man has some hens and cows . if the number of heads be 100 and the number of feet equals 180 , then the number of hens will be : \nOptions: a ) 22 , b ) 23 , c ) 80 , d ) 90 , e ) 28", "output": [ "d" ] }, { "id": "task1420-28a4c7949ebd4212b7b1f2eff3062230", "input": "Problem: a no . when divided by the sum of 555 and 445 gives 2 times their difference as quotient & 60 as remainder . find the no . is ? \nOptions: a ) 145646 , b ) 236578 , c ) 645353 , d ) 456546 , e ) 220060", "output": [ "e" ] }, { "id": "task1420-0b4e1ec35e724dd1ab39bd42f16b6668", "input": "Problem: of all the students in a certain dormitory , 1 / 2 are first - year students and the rest are second - year students . if 4 / 5 of the first - year students have not declared a major and if the fraction of second - year students who have declared a major is 4 times the fraction of first - year students who have declared a major , what fraction of all the students in the dormitory are second - year students who have not declared a major ? \nOptions: a ) 1 / 15 , b ) 4 / 5 , c ) 4 / 15 , d ) 1 / 5 , e ) 2 / 5", "output": [ "d" ] }, { "id": "task1420-cdf16dcd616742779dc839956e1e656f", "input": "Problem: john purchased 1375 large bottles at $ 1.75 per bottle and 690 small bottles at $ 1.35 per bottle . what was the approximate average price paid per bottle ? \nOptions: a ) $ 1.62 , b ) $ 1.64 , c ) $ 1.68 , d ) $ 1.72 , e ) $ 1.76", "output": [ "a" ] }, { "id": "task1420-2cd7b851931f43f6a993025722cdcbd6", "input": "Problem: if the price of gasoline increases by 25 % and a driver intends to spend only 5 % more on gasoline , by how much percent should the driver reduce the quantity of gasoline that he buys ? \nOptions: a ) 20 % , b ) 16 % , c ) 15 % , d ) 12 % , e ) 10 %", "output": [ "b" ] }, { "id": "task1420-6e039bf640ce4d3f84c940cf6a02da83", "input": "Problem: if there are half as many women as men in a group and an equal number of men and women do not own cars - a group that is 40 % of the total . what fraction of the total is women who own cars ? \nOptions: a ) 3 ⁄ 20 , b ) 11 ⁄ 60 , c ) 9 ⁄ 40 , d ) 1 ⁄ 5 , e ) 2 ⁄ 15", "output": [ "e" ] }, { "id": "task1420-de8d8a069b0742d5805ff3a5264c3840", "input": "Problem: if n = 10 ^ 100 and n ^ n = 10 k what is the value of k ? \nOptions: a ) 200 , b ) 10 ^ 100 , c ) 10 ^ 102 , d ) 100 ^ 100 , e ) 1000 ^ 10", "output": [ "c" ] }, { "id": "task1420-1ce31c5ba446440d8f5db9c2e5478d88", "input": "Problem: the ratio of petrol and kerosene in the container is 3 : 2 when 10 liters of the mixture is taken out and is replaced by the kerosene , the ratio become 2 : 3 . then total quantity of the mixture in the container is : \nOptions: a ) 33 , b ) 30 , c ) 38 , d ) 37 , e ) 27", "output": [ "b" ] }, { "id": "task1420-14a7d32840c74d1c885191a9dea3a215", "input": "Problem: a prize of $ 800 is to be distributed among 20 winners , each of whom must be awarded at least $ 20 . if 2 / 5 of the prize will be distributed to 3 / 5 of the winners , what is the greatest possible individual award ? \nOptions: a ) $ 200 , b ) $ 220 , c ) $ 280 , d ) $ 300 , e ) $ 340", "output": [ "e" ] }, { "id": "task1420-5ffede70e3814741818327b50bf4edec", "input": "Problem: what is the least number should be added to 1056 , so the sum of the number is completely divisible by 28 ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 8", "output": [ "e" ] }, { "id": "task1420-c85feba3f8f64965b4164998ba1cb450", "input": "Problem: given that e and f are events such that p ( e ) = 25 , p ( f ) = 75 and p ( e n f ) = 75 , find p ( e | f ) and p ( f | e ) \nOptions: a ) 5 , b ) 46 , c ) 52 , d ) 12 , e ) 3", "output": [ "e" ] }, { "id": "task1420-87e8206d80bc457ca881faa087b35a08", "input": "Problem: if the median of a list of numbers is m , the first quartile of the list is the median of the numbers in the list that are less than m . what is the first quartile of the list of numbers 42 , 24 , 30 , 22 , 28 , 19 , 33 and 35 ? \nOptions: a ) 33 , b ) 25 , c ) 27 , d ) 24 , e ) 23", "output": [ "e" ] }, { "id": "task1420-cc8b87546adc4518a5ab446e9b0078d8", "input": "Problem: the value of ( 0.137 + 0.098 ) ² - ( 0.137 - 0.098 ) ² / 0.137 × 0.098 is \nOptions: a ) 0.039 , b ) 0.235 , c ) 0.25 , d ) 4 , e ) 5", "output": [ "d" ] }, { "id": "task1420-5a5c73f6ba5c48e7a58fa1bd713aa265", "input": "Problem: in a hostel , the number of students decreased by 5 % and the price of food increased by 20 % over the previous year . if each student consumes the same amount of food then by how much should the consumption of food be cut short by every student , so that the total cost of the food remains the same as that of the previous year ? \nOptions: a ) 19 % , b ) 12.3 % , c ) 25 % , d ) 40 % , e ) 9.4 %", "output": [ "b" ] }, { "id": "task1420-adec9b0ec04b46cd8ff67b2f81c28c76", "input": "Problem: if the operation ø is defined for all positive integers x and w by x ø w = ( 2 ^ x ) / ( 2 ^ w ) then ( 4 ø 2 ) ø 3 = ? \nOptions: a ) 2 , b ) 4 , c ) 8 , d ) 16 , e ) 32", "output": [ "a" ] }, { "id": "task1420-e9dd19e0542f41bfbcc8a27f09532e00", "input": "Problem: the average age of a family of 6 members is 28 years . if the age of the youngest member is 7 years , what was the average age of the family at the birth of the youngest member ? \nOptions: a ) 15 , b ) 18 , c ) 21 , d ) 12 , e ) 19", "output": [ "c" ] }, { "id": "task1420-fe450002bec74ce69c4c99e11489081f", "input": "Problem: a boy perform 5 times a reaction and his reading are 2 , 2.1 , 2 , 2.2 but unfortunately 5 th reading clearly not visible because a drop of chemical fall onto it . but luckily he have mean of all reading which is 2 . please help him in finding 5 th reading . \nOptions: a ) 2 , b ) 1.7 , c ) 1.9 , d ) 1.8 , e ) 2.1", "output": [ "b" ] }, { "id": "task1420-799c7cdec33e4679b318d9760502f758", "input": "Problem: total dinning bill for 6 people was $ 211.00 . if they add 15 % tip and divided the bill evenly , approximate . what was each persons find share \nOptions: a ) $ 30.14 , b ) 40.44 , c ) 34.66 , d ) 32.29 , e ) 33.16", "output": [ "b" ] }, { "id": "task1420-bfbd80ec36614b58977436e5706f54c2", "input": "Problem: x , y , and z are different prime numbers . the product x ^ 3 * y ^ 2 * z ^ 2 is divisible by how many different positive numbers ? \nOptions: a ) 24 , b ) 36 , c ) 48 , d ) 60 , e ) 72", "output": [ "b" ] }, { "id": "task1420-bbb2ed5ca8b84f698d89e896a6a05051", "input": "Problem: find ( 7 x + 8 y ) / ( x - 2 y ) if x / 2 y = 3 / 2 ? \nOptions: a ) 24 , b ) 25 , c ) 26 , d ) 27 , e ) 29", "output": [ "e" ] }, { "id": "task1420-8cf4d4e6e5cc48dfb25c3d8d0d9f4c04", "input": "Problem: two pots are in side - by - side . one pot , which is 20 inches tall , casts a shadow that is 10 inches long . the other pot is 40 inches tall . compute , in inches , the length of the shadow that the taller pot casts . \nOptions: a ) 25 , b ) 30 , c ) 10 , d ) 15 , e ) 20", "output": [ "e" ] }, { "id": "task1420-3aaf4f36346049c681b320eeafc49f99", "input": "Problem: a box contains either blue or red flags . the total number of flags in the box is an even number . a group of children are asked to pick up two flags each . if all the flags are used up in the process such that 60 % of the children have blue flags , and 65 % have red flags , what percentage of children have flags of both the colors ? \nOptions: a ) 5 % , b ) 10 % , c ) 15 % , d ) 20 % , e ) 25 %", "output": [ "e" ] }, { "id": "task1420-ff16723336d34488b26368452649ce98", "input": "Problem: if 250 ! / 10 ^ n is an integer , what is the largest possible value of n ? \nOptions: a ) 65 , b ) 66 , c ) 62 , d ) 69 , e ) 97", "output": [ "c" ] }, { "id": "task1420-d7547598f225403ab15f03b170faf870", "input": "Problem: what is the value of ( p + q ) / ( p - q ) if p / q is 7 ? \nOptions: a ) 4 / 3 , b ) 2 / 3 , c ) 2 / 6 , d ) 7 / 8 , e ) 8 / 7", "output": [ "a" ] }, { "id": "task1420-7bd89f360391400aa233fe61039d39ad", "input": "Problem: the sum of three consecutive multiples of 3 is 117 . what is the largest number ? \nOptions: a ) 45 , b ) 48 , c ) 51 , d ) 42 , e ) 54", "output": [ "d" ] }, { "id": "task1420-c97a4eb2dd5f476dbb6211cbd21d7f10", "input": "Problem: a large box contains 21 small boxes and each small box contains 25 chocolate bars . how many chocolate bars are in the large box ? \nOptions: a ) 250 , b ) 350 , c ) 450 , d ) 550 , e ) 525", "output": [ "e" ] }, { "id": "task1420-73a50640265d490e9c8135bed2af7c14", "input": "Problem: when w is divided by 13 , the reminder is 0 . if w is 3 more than it value and when divided by 11 its remainder is 0 . what is the value of w ? \nOptions: a ) 13 , b ) 52 , c ) 39 , d ) 26 , e ) 35", "output": [ "b" ] }, { "id": "task1420-93cbd0f8af0d4219bfc88bb2f547f7b1", "input": "Problem: 23 , 29 , 31 , 37 , 41 , 43 , ( . . . ) \nOptions: a ) 53 , b ) 48 , c ) 59 , d ) 47 , e ) 50", "output": [ "d" ] }, { "id": "task1420-1b984eab79bc4b8ab948ff33c7180cb0", "input": "Problem: when toys are grouped into 12 and 18 , always 3 toys remain ungrouped . what is the minimum number of toys to be added so that when they are grouped into 7 , no toys will remain ungrouped ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4", "output": [ "d" ] }, { "id": "task1420-ee9f33a89ddb4bf5be1f83b32d2859d3", "input": "Problem: if x = - 2 and y = - 4 , what is the value of 5 ( x - y ) ^ 2 - xy ? \nOptions: a ) 12 , b ) 13 , c ) 15 , d ) 18 , e ) 22", "output": [ "a" ] }, { "id": "task1420-4eb042ad4d1d456a97bb51165158fa2a", "input": "Problem: 5358 x 53 = ? \nOptions: a ) 272258 , b ) 272358 , c ) 283974 , d ) 274258 , e ) 274358", "output": [ "c" ] }, { "id": "task1420-1651a2e482dd479fba641db062f71324", "input": "Problem: a number when divided by 296 leaves 75 as remainder when the same number is divided by 37 then the remainder will be ? \nOptions: a ) 2 , b ) 9 , c ) 6 , d ) 5 , e ) 1", "output": [ "e" ] }, { "id": "task1420-17cc3d46543544fba52c70496c40180e", "input": "Problem: the average temperature for monday , tuesday , wednesday and thursday was 48 degrees and for tuesday , wednesday , thursday and friday was 46 degrees . if the temperature on monday was 41 degrees . find the temperature on friday ? \nOptions: a ) 65 degrees , b ) 73 degrees , c ) 37 degrees , d ) 34 degrees , e ) 33 degrees", "output": [ "e" ] }, { "id": "task1420-2308ac9c26064fe19ff0ead84d22838f", "input": "Problem: in a company with 48 employees , some part - time and some full - time , exactly ( 1 / 3 ) of the part - time employees and ( 1 / 4 ) of the full - time employees take the subway to work . what is the greatest possible number r of employees who take the subway to work ? \nOptions: a ) 12 , b ) 13 , c ) 14 , d ) 15 , e ) 16", "output": [ "d" ] }, { "id": "task1420-f0551059ed794ebd8fb49dd240eaba5e", "input": "Problem: if two of the 4 expressions x + y , x + 5 y , x - y , and 5 x - y are chosen at random , what is the probability w that their product will be of the form of x ^ 2 - ( by ) ^ 2 , where b is an integer ? \nOptions: a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 4 , d ) 1 / 5 , e ) w = 1 / 6", "output": [ "e" ] }, { "id": "task1420-11eb6e25b5c845a79b62fa850effa5a9", "input": "Problem: when x is multiplied by 3 , the result is 20 more than the result of subtracting x from 20 . what is the value of x ? \nOptions: a ) 10 , b ) - 2 , c ) 11 , d ) 13 , e ) 22", "output": [ "a" ] }, { "id": "task1420-56d1800ec88147c489a937e3442234b2", "input": "Problem: if 2 x + y = 26 and x + 2 y = 10 , then ( x + y ) / 3 = \nOptions: a ) 1 , b ) 4 / 3 , c ) 17 / 5 , d ) 18 / 5 , e ) 4", "output": [ "e" ] }, { "id": "task1420-29be3d675b9c4148ab70da447e5a33b3", "input": "Problem: if 225 / 999 = 0.225 , what is the 81 st digit to the right of the decimal point in the decimal equivalent of the fraction ? \nOptions: a ) 9 , b ) 8 , c ) 7 , d ) 6 , e ) 5", "output": [ "e" ] }, { "id": "task1420-3e162b7eef264c478a8e3c43cdad869d", "input": "Problem: in 7 given numbers , the average of first 4 numbers is 4 and that of last 4 numbers is also 4 . if the average of these 7 numbers is 3 , the fourth number is ? \nOptions: a ) 3 , b ) 4 , c ) 7 , d ) 11 , e ) 12", "output": [ "d" ] }, { "id": "task1420-dc1fa01b475d4542bf7fd4089d9f8192", "input": "Problem: a sum of money is to be distributed among a , b , c , d in the proportion of 5 : 2 : 4 : 3 . if c gets rs . 1100 more than d , what is b ' s share ? \nOptions: a ) rs . 500 , b ) rs . 1500 , c ) rs . 2200 , d ) rs . 2500 , e ) none of the above", "output": [ "c" ] }, { "id": "task1420-37029f60009343159b11cc6abe89b9e3", "input": "Problem: the expenditure of an woman increase consistently by 30 % per year . if her present expenditure is rs . 1000 then what will her expenditure be after 3 years ? \nOptions: a ) 2107 , b ) 2197 , c ) 2187 , d ) 2177 , e ) 2167", "output": [ "b" ] }, { "id": "task1420-8dab0575cfec43fc8ff6f8945a1bebf7", "input": "Problem: during a certain two - week period , 75 percent of the movies rented from a video store were comedies , and of the remaining movies rented , there were 2 / 3 times as many dramas as action movies . if no other movies were rented during that two - week period and there were a action movies rented , then how many comedies , in terms of a , were rented during that two - week period ? \nOptions: a ) 5 a , b ) 10 a , c ) 15 a , d ) 18 a , e ) 25 a", "output": [ "a" ] }, { "id": "task1420-0c2400fccf89412cbf1854083059480f", "input": "Problem: a cyclist rides a bicycle 9 km at an average speed of 11 km / hr and again travels 11 km at an average speed of 9 km / hr . what is the average speed for the entire trip ? \nOptions: a ) 9.3 , b ) 9.6 , c ) 9.8 , d ) 10.1 , e ) 10.3", "output": [ "c" ] }, { "id": "task1420-6916819d9da84edc87938759905bb5fd", "input": "Problem: given f ( x ) = 3 x – 5 , for what value of x does 2 * [ f ( x ) ] + 2 = f ( 3 x – 6 ) \nOptions: a ) 0 , b ) 4 , c ) 5 , d ) 7 , e ) 13", "output": [ "c" ] }, { "id": "task1420-4a79dde36fa74f9989097cefc5f4db77", "input": "Problem: evaluate : 980 x 436 + 980 x 764 \nOptions: a ) 1176000 , b ) 968000 , c ) 978000 , d ) 117000 , e ) none of them", "output": [ "a" ] }, { "id": "task1420-0ec1890fd5f748e6aa0816334fcd407e", "input": "Problem: a father said his son , ` ` i was as old as you are at present at the time of your birth . ` ` if the father age is 32 now , the son age 5 years back was \nOptions: a ) 11 , b ) 17 , c ) 11 , d ) 19 , e ) 99", "output": [ "a" ] }, { "id": "task1420-170c664b04394a61871be472cd905780", "input": "Problem: by how much does the larger root of the equation 2 q ^ 2 + 5 q = 12 exceed the smaller root ? \nOptions: a ) 5 / 2 , b ) 10 / 3 , c ) 7 / 2 , d ) 14 / 3 , e ) 11 / 2", "output": [ "e" ] }, { "id": "task1420-225158d3613c4964b9e0c1be88ce7426", "input": "Problem: 3251 + 587 + 369 - ? = 3007 \nOptions: a ) 1250 , b ) 1300 , c ) 1375 , d ) 1200 , e ) none of them", "output": [ "d" ] }, { "id": "task1420-29201a27f5464bdeb8664d3f6390d634", "input": "Problem: a car travels from point a to point b . the average speed of the car is 60 km / hr and it travels the first half of the trip at a speed of 45 km / hr . what is the speed of the car in the second half of the trip ? \nOptions: a ) 75 , b ) 80 , c ) 90 , d ) 95 , e ) 100", "output": [ "c" ] }, { "id": "task1420-4452a3d029b5443b9634d7ff49c6ff43", "input": "Problem: a man spend 1 / 5 of his salary on food , 1 / 10 of his salary on house rent and 3 / 5 salary on clothes . he still has $ 16000 left with him . find salary . . \nOptions: a ) $ 10800 , b ) $ 18000 , c ) $ 160000 , d ) $ 1800 , e ) none", "output": [ "c" ] }, { "id": "task1420-2d7cfbcc5b5c4ad4991bdd38996d585e", "input": "Problem: 0.0005215 / 0.000305 x 6.2 = ? \nOptions: a ) 10.6 , b ) 11.3 , c ) 12.7 , d ) 13.4 , e ) 14.5", "output": [ "a" ] }, { "id": "task1420-27c2a0dda8734be5ba482f53afb74c99", "input": "Problem: in an examination , 32 % of total students failed in hindi , 56 % failed in english and 12 % in both . the percentage of these who passed in both the subjects is : \nOptions: a ) 24 , b ) 37 , c ) 28 , d ) 40 , e ) 81", "output": [ "a" ] }, { "id": "task1420-b1b4d2dcce374212a67d72d19e29b5ba", "input": "Problem: a computer manufacturer produces a certain electronic component at a cost of $ 100 per component . shipping costs for delivering the components are $ 4 per unit . further , the manufacturer has costs of $ 24,500 a month related to the electronic component regardless of how many it produces . if the manufacturer produces and sells 100 components a month , what is the lowest price it can sell them for such that the costs do n ' t exceed the revenues ? \nOptions: a ) 278 , b ) 366 , c ) 349 , d ) 335 , e ) 295", "output": [ "c" ] }, { "id": "task1420-0bac6702ae1543aaa7971a26997804a1", "input": "Problem: 3 log 3 ( - 5 ) = ? \nOptions: a ) 1 , b ) undentified , c ) 3 , d ) 7 , e ) 5", "output": [ "b" ] }, { "id": "task1420-e103a84ed03d4d6cbdee8ca8d818fb9c", "input": "Problem: a and b are two partially filled buckets of water . if 5 liters are transferred from a to b , then a would contain one - third of the amount of water in b . alternatively , if 3 liters are transferred from b to a , b would contain one - half of the amount of water in a . bucket a contains how many liters of water ? \nOptions: a ) 11 , b ) 13 , c ) 17 , d ) 49 / 5 , e ) 23", "output": [ "d" ] }, { "id": "task1420-c80d675018d54ea0a89b8a9ea8c008e2", "input": "Problem: an equal number of desks and bookcases are to be placed along a library wall that is 15 meters long . each desk is 2 meters long , and each bookshelf is 1.5 meters long . if the maximum possible number of desks and bookcases are to be placed along the wall , then the space along the wall that is left over will be how many meters q long ? \nOptions: a ) 0.5 , b ) 1 , c ) 1.5 , d ) 2 , e ) 3", "output": [ "b" ] }, { "id": "task1420-0486fc3649a1410fb7d77f36e7c87189", "input": "Problem: a man is 32 years older than his son . in six years , his age will be twice the age of his son . the present age of this son is \nOptions: a ) 26 years , b ) 27 years , c ) 28 years , d ) 29 years , e ) 30 years", "output": [ "a" ] }, { "id": "task1420-c3b9be73a2e24dcc8ace7f60874942fc", "input": "Problem: 80 + 5 * 12 / ( 180 / 3 ) = ? \nOptions: a ) 23 , b ) 78 , c ) 27 , d ) 61 , e ) 81", "output": [ "e" ] }, { "id": "task1420-dad20d0742f745cda078b9754365a222", "input": "Problem: the apartment on king - williams street is an asset that its value is tramping about . from the year 1973 to 1983 it ' s value decreased by 16 % and from 1983 to 1993 it ' s value increased by 16 % . what is the value of the asset in 1993 if in 1973 it was worth $ 55000 ? \nOptions: a ) $ 38,796 . , b ) $ 40,000 . , c ) $ 38,976 . , d ) $ 39,679 . , e ) $ 53,592 .", "output": [ "e" ] }, { "id": "task1420-b63cb53367da494f9e54671d8dd87f1a", "input": "Problem: dawson is going with 14 friends on a trip to washington d . c for spring break . airfare and hotel costs a total of $ 13500.00 for the group of 15 friends . how much does each person have to pay for their hotel and airfare ? \nOptions: a ) $ 900 , b ) $ 800 , c ) $ 850 , d ) $ 950 , e ) $ 920", "output": [ "a" ] }, { "id": "task1420-629cebafc3804da0b5ebbb50d49009f6", "input": "Problem: a number when divided by 342 gives a remainder 38 , what remainder will be obtained by dividing the same number 21 ? \nOptions: a ) 7 , b ) 6 , c ) 9 , d ) 2 , e ) 3", "output": [ "d" ] }, { "id": "task1420-4515a791a2aa409dad7d7c0e707419e4", "input": "Problem: what is the minimum value of | x - 4 | + | x + 7 | + | x - 5 | ? \nOptions: a ) - 3 , b ) 3 , c ) 5 , d ) - 12 , e ) 12", "output": [ "e" ] }, { "id": "task1420-59f09bc565054efca872c2bd2fb4bbb0", "input": "Problem: julian owes his classmate jenny 20 dollars . if he borrows 8 dollars how much will he owe her ? \nOptions: a ) 28 , b ) 12 , c ) - 28 , d ) 12 , e ) 0", "output": [ "c" ] }, { "id": "task1420-86ca965a45ed422f8ea666c20d05dab8", "input": "Problem: a warehouse is labeling computer inventory with 5 - digit codes . each code is to consist of 4 digits between the numbers 0 and 9 . the manager is debating whether to allow any 5 - digit codes to have leading zero ' s before a non - zero number is used . if not allowed , then numbers like 0025 cannot be used . the manager wants to measure the magnitude of the number of 5 - digit code possibilities that are lost if he disallows the use of leading zero ' s . how many such codes would be lost ? \nOptions: a ) 981 , b ) 1000 , c ) 1011 , d ) 10000 , e ) 1110", "output": [ "d" ] }, { "id": "task1420-97080080dd9c42d981acfb5f7a5952e7", "input": "Problem: a no . when divided by 242 gives a remainder 100 , what remainder will be obtainedby dividingthe same no . 18 ? \nOptions: a ) 15 , b ) 16 , c ) 17 , d ) 18 , e ) 19", "output": [ "e" ] }, { "id": "task1420-eca6228bdb884d9b9d1b1d7f71b5d4c2", "input": "Problem: jean drew a gumball at random from a jar of pink and blue gumballs . since the gumball she selected was blue and she wanted a pink one , she replaced it and drew another . the second gumball also happened to be blue and she replaced it as well . if the probability of her drawing the two blue gumballs was 36 / 49 , what is the probability that the next one she draws will be pink ? \nOptions: a ) 1 / 7 , b ) 4 / 7 , c ) 3 / 7 , d ) 16 / 49 , e ) 40 / 49", "output": [ "a" ] }, { "id": "task1420-c130119dbf0642f494bc47335be787be", "input": "Problem: a two digit number is 18 less than the square of the sum of its digits . how many such numbers are there ? \nOptions: a ) 2233 , b ) 2222 , c ) 2211 , d ) 6382 , e ) 23,17", "output": [ "d" ] }, { "id": "task1420-1a73a55dfb4e43bd858c9b8a9cc8a8fc", "input": "Problem: rs . 700 is divided among a , b , c so that a receives half as much as b and b half as much as c . then c ' s share is \nOptions: a ) rs 429 , b ) rs 412 , c ) rs 400 , d ) rs 129 , e ) rs 122", "output": [ "c" ] }, { "id": "task1420-8e74abcf7b7d4cf19dac2f93061faee0", "input": "Problem: in a certain archery competition , points were awarded as follows : the first place winner receives 11 points , the second place winner receives 7 points , the third place winner receives 5 points and the fourth place winner receives 2 points . no other points are awarded . john participated several times in the competition and finished first , second , third , or fourth each time . the product of all the points he received was 53900 . how many times did he participate in the competition ? \nOptions: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11", "output": [ "a" ] }, { "id": "task1420-1d9f140553f14de49c774c8e42c8f273", "input": "Problem: evaluate : 55 - 12 * 3 * 2 = ? \nOptions: a ) 47 , b ) 52 , c ) 32 , d ) 12 , e ) 22", "output": [ "a" ] }, { "id": "task1420-f8447a98acfc40f398baccfb3e080c41", "input": "Problem: in the coordinate plane , points ( x , 2 ) and ( 8 , y ) are on line k . if line k passes through the origin and has slope 1 / 2 , then x + y = \nOptions: a ) 8 , b ) 6 , c ) 5 , d ) 3 , e ) 2", "output": [ "a" ] }, { "id": "task1420-bbf83cad0afe40bebd4f8a22b2c9cfc3", "input": "Problem: 5 + 8 \nOptions: a ) 8 , b ) 13 , c ) 28 , d ) 6 , e ) 2", "output": [ "b" ] }, { "id": "task1420-6da12d5c353142a095fa85db4ad789ba", "input": "Problem: if n is a positive integer and the product of all the integers from 1 to n , inclusive , is a multiple of 1000 , what is the least possible value of n ? \nOptions: a ) 12 , b ) 11 , c ) 14 , d ) 13 , e ) 15", "output": [ "e" ] }, { "id": "task1420-efad369daab8496e80632e9282ca2e65", "input": "Problem: the sum of the first 92 positive even integers is 2,550 . what is the sum of the odd integers from 101 to 200 , inclusive ? \nOptions: a ) 5,050 , b ) 7,500 , c ) 10,500 , d ) 11,700 , e ) 19,600", "output": [ "d" ] }, { "id": "task1420-51ab55020eaf45debaa76cf2f9ecfbb5", "input": "Problem: n is the greatest number which divides 1305 , 4665 and 6905 and gives the same remainder in each case . what is the sum of the digits in n ? \nOptions: a ) 23 , b ) 28 , c ) 4 , d ) 1 , e ) 25", "output": [ "c" ] }, { "id": "task1420-b5f6bc500c1741d7a1ea9910324aac1e", "input": "Problem: n is a whole number which when divided by 4 gives 3 as remainder . what will be the remainder when 2 * n is divided by 4 ? \nOptions: a ) 8 , b ) 2 , c ) 6 , d ) 7 , e ) 1", "output": [ "b" ] }, { "id": "task1420-218057912763411bb8b7a37fa3cec199", "input": "Problem: two ants , arthur and amy , have discovered a picnic and are bringing crumbs back to the anthill . amy makes twice as many trips and carries one and a half times as many crumbs per trip as arthur . if arthur carries a total of m crumbs to the anthill , how many crumbs will amy bring to the anthill , in terms of m ? \nOptions: a ) x / 2 , b ) x , c ) 3 m / 2 , d ) mx , e ) mx", "output": [ "e" ] }, { "id": "task1420-9963cad2725b47d08cb5e67ace7533d2", "input": "Problem: at a monthly meeting , 1 / 3 of the attendees were males and 4 / 5 of the male attendees arrived on time . if 5 / 6 of the female attendees arrived on time , what fraction of the attendees at the monthly meeting did not arrive on time ? \nOptions: a ) 1 / 6 , b ) 2 / 15 , c ) 3 / 20 , d ) 7 / 30 , e ) 8 / 45", "output": [ "e" ] }, { "id": "task1420-7039722d76a343e9ad34c64f82930cf2", "input": "Problem: the first year , two cows produced 8100 litres of milk . the second year their production increased by 15 % and 10 % respectively , and the total amount of milk increased to 9100 litres a year . how many litres were milked from each cow each year ? \nOptions: a ) 3472 , b ) 8222 , c ) 4370 , d ) 26777 , e ) 8222", "output": [ "c" ] }, { "id": "task1420-2aa14349e0f04e7a96439d331f2ea0e3", "input": "Problem: 1.20 can be expressed in terms of percentage as \nOptions: a ) 120 % , b ) 0.120 % , c ) 1.20 % , d ) 0.209 % , e ) none of these", "output": [ "a" ] }, { "id": "task1420-50aba8e8050e4220927ca3a06fda7596", "input": "Problem: a envelop weight 8.5 gm , if 820 of these envelop are sent with an advertisement mail . how much wieght ? \nOptions: a ) 6.6 kg , b ) 6.8 kg , c ) 6.7 kg , d ) 6.97 kg , e ) 7.8 kg", "output": [ "d" ] }, { "id": "task1420-6c6e9f02f25948c2a22a7958e5763ab7", "input": "Problem: an alloy of copper and zinc contains copper and zinc in the ratio 5 : 4 . another alloy of copper and zinc contains copper and zinc in the ratio 3 : 6 . in what ratio should the two alloys be mixed so that the resultant alloy contains equal proportions of copper and zinc ? \nOptions: a ) 4 : 1 , b ) 6 : 1 , c ) 1 : 3 , d ) 2 : 1 , e ) 4 : 1", "output": [ "c" ] }, { "id": "task1420-d30d3ff96f3440d49075482ab50ed2b0", "input": "Problem: gopi gives rs . 90 plus one turban as salary to his servant for one year . the servant leaves after 9 months and receives rs . 55 and the turban . find the price of the turban . \nOptions: a ) 27 , b ) 36 , c ) 29 , d ) 50 , e ) 11", "output": [ "d" ] }, { "id": "task1420-b24892ebd11c42ad9da7d097abef789a", "input": "Problem: calculate the share of y , if rs . 690 is divided among x , y and z in the ratio 5 : 7 : 11 ? \nOptions: a ) 190 , b ) 160 , c ) 120 , d ) 151 , e ) 150", "output": [ "e" ] }, { "id": "task1420-1af059ae91044341b7a02b3ffbe94f75", "input": "Problem: the product of two numbers is 276 and the sum of their squares is 289 . the sum of the number is ? \nOptions: a ) a ) 29 , b ) b ) 25 , c ) c ) 27 , d ) d ) 31 , e ) e ) 35", "output": [ "a" ] }, { "id": "task1420-3a140229e5fe49dd82676b793f29b926", "input": "Problem: if x / 4 years ago roger was 21 years old and x / 4 years from now he will be 4 x years old , how old will he be 5 x years from now ? \nOptions: a ) 32 , b ) 35 , c ) 30 , d ) 40 , e ) 70", "output": [ "e" ] }, { "id": "task1420-b33d49a77f9b4891af770b6f8eaf89b0", "input": "Problem: what is the value of x ^ 2 yz − xyz ^ 2 , if x = - 1 , y = 1 , and z = 3 ? \nOptions: a ) 20 , b ) 24 , c ) 30 , d ) 12 , e ) 48", "output": [ "d" ] }, { "id": "task1420-e4a86fedde234caa8d025484fd4c85b3", "input": "Problem: a grocer is storing soap boxes in cartons that measure 25 inches by 42 inches by 60 inches . if the measurement of each soap box is 7 inches by 6 inches by 5 inches , then what is the maximum number of soap boxes that can be placed in each carton ? \nOptions: a ) 210 , b ) 252 , c ) 280 , d ) 300 , e ) 420", "output": [ "d" ] }, { "id": "task1420-35b95f09ebdf4cbcb6a7a1f4a9ccdcae", "input": "Problem: there are 2 sections a and b in a class , consisting of 50 and 70 students respectively . if the average weight of section a is 50 kg and that of section b is 70 kg , find the average of the whole class ? \nOptions: a ) 50.78 kg , b ) 49.32 kg , c ) 61.67 kg , d ) 69.15 kg , e ) 70.89 kg", "output": [ "c" ] }, { "id": "task1420-b0223b13bc564cd8a142cc101f681d2e", "input": "Problem: the number 523 fbc is divisible by 7 , 89 . then what is the value of f * b * c \nOptions: a ) 504 , b ) 532 , c ) 210 , d ) 180 , e ) 280", "output": [ "d" ] }, { "id": "task1420-d4d780801dc64cebaa6d59a6845a7995", "input": "Problem: a mathematics teacher tabulated the marks secured by 35 students of 8 th class . the average of their marks was 72 . if the marks secured by reema was written as 46 instead of 56 then find the correct average marks up to two decimal places . \nOptions: a ) 73.41 , b ) 72.28 , c ) 72.43 , d ) 73.43 , e ) can not be determined", "output": [ "b" ] }, { "id": "task1420-1a8f467e7f554de8899454a00a0aaf28", "input": "Problem: simplify : 250 x 250 - 100 x 100 \nOptions: a ) 761200 , b ) 761400 , c ) 52500 , d ) 761500 , e ) none of them", "output": [ "c" ] }, { "id": "task1420-9257d69ac92d42438582c1b92adc2d73", "input": "Problem: at a certain college , 80 percent of the total number of students are freshmen . if 60 percent of the fresh - men are enrolled in the school of liberal arts and , of these , 50 percent are psychology majors , what percent of the students at the college are freshmen psychology majors enrolled in the school of liberal arts ? \nOptions: a ) 25 % , b ) 20 % , c ) 22 % , d ) 21 % , e ) 24 %", "output": [ "e" ] }, { "id": "task1420-71f48aaea4984fb097bc4a33edad2a33", "input": "Problem: the average of 9 observations was 5 , that of the 1 st of 5 being 10 and that of the last 5 being 8 . what was the 5 th observation ? \nOptions: a ) 45 , b ) 12 , c ) 15 , d ) 17 , e ) 18", "output": [ "a" ] }, { "id": "task1420-a92898fe84664d12af1794a30a394c72", "input": "Problem: in a two - digit , if it is known that its unit ' s digit exceeds its 10 ' s digit by 2 and that the product of the given number and the sum of its digits is equal to 144 , then the number is ? \nOptions: a ) 24 , b ) 26 , c ) 28 , d ) 30 , e ) none", "output": [ "a" ] }, { "id": "task1420-1fe0e799b8a848c2b13c6f01932f5619", "input": "Problem: find the greatest number which is such that when 794 , 858 and 1351 are divided by it , the remainders are all same . \nOptions: a ) 1 , b ) 5 , c ) 6 , d ) 7 , e ) 8", "output": [ "a" ] }, { "id": "task1420-788a51b63a454065bc3d8958b63168b6", "input": "Problem: simplify : 896 x 896 - 204 x 204 \nOptions: a ) 761200 , b ) 761400 , c ) 761800 , d ) 761500 , e ) none of them", "output": [ "a" ] }, { "id": "task1420-b5f13f45735e45a5928f11b3819454db", "input": "Problem: during a certain two - week period , 50 percent of the movies rented from a video store were comedies , and of the remaining movies rented , there were 9 times as many dramas as action movies . if no other movies were rented during that two - week period and there were a action movies rented , then how many comedies , in terms of a , were rented during that two - week period ? \nOptions: a ) 5 a , b ) 10 a , c ) 20 a , d ) 25 a , e ) 28 a", "output": [ "b" ] }, { "id": "task1420-8cc53469844b493595894a55f98c6380", "input": "Problem: what is the average ( arithmetic mean ) of all multiples of 10 from 10 to 100 inclusive ? \nOptions: a ) 190 , b ) 195 , c ) 200 , d ) 205 , e ) 55", "output": [ "e" ] }, { "id": "task1420-515ae24117a94276a82e4840dc81ea51", "input": "Problem: bottle r contains 100 capsules and costs $ 6.30 . bottle t contains 130 capsules and costs $ 2.99 . what is the difference between the cost per capsule for bottle r and the cost per capsule for bottle t ? \nOptions: a ) $ 0.04 , b ) $ 0.12 , c ) $ 0.05 , d ) $ 0.03 , e ) $ 0.002", "output": [ "a" ] }, { "id": "task1420-a72425face374ab4ab07df9c66b21363", "input": "Problem: ashok secured average of 79 marks in 6 subjects . if the average of marks in 5 subjects is 74 , how many marks did he secure in the 6 th subject ? \nOptions: a ) 104 , b ) 27 , c ) 99 , d ) 17 , e ) 80", "output": [ "a" ] }, { "id": "task1420-abe92c3ff9d6483aa2fee86833646724", "input": "Problem: if x gets 25 % more than y and y gets 20 % more than z , the share of z out of rs . 740 will be : \nOptions: a ) rs . 300 , b ) rs . 200 , c ) rs . 240 , d ) rs . 350 , e ) none of these", "output": [ "b" ] }, { "id": "task1420-e4a2c6c9fa34469f8bbc0fa1a6d597ef", "input": "Problem: 12.5 * 3.2 * 8.8 = ? \nOptions: a ) 352 , b ) 435 , c ) 224 , d ) 646 , e ) 742", "output": [ "a" ] }, { "id": "task1420-b543719fb57b44e9abbcacb08691dd35", "input": "Problem: tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random . what is the probability taht the ticket drawn has a number which is a multiple of 3 or 5 ? \nOptions: a ) 1 / 2 , b ) 2 / 5 , c ) 8 / 15 , d ) 9 / 20 , e ) none", "output": [ "d" ] }, { "id": "task1420-b51abe755fc7422bb96e4180eaba68d8", "input": "Problem: 60 % of x is greater than 1 / 3 rd of x by 110 . what is x ? \nOptions: a ) 100.5 , b ) 200.5 , c ) 300.5 , d ) 350.5 , e ) 412.5", "output": [ "e" ] }, { "id": "task1420-6a6c1b3709c44fb9b3aa789cbdcb183d", "input": "Problem: what number times ( 1 ⁄ 4 ) ^ 2 will give the value of 4 ^ 3 ? \nOptions: a ) 4 , b ) 16 , c ) 64 , d ) 256 , e ) 1024", "output": [ "e" ] }, { "id": "task1420-2c37756f35cd4dba972406eb4b2db333", "input": "Problem: the average age of 19 students in a group is 17 years . when teacher ’ s age is included to it , the average increases by one . what is the teacher ’ s age in years ? \nOptions: a ) 36 , b ) 37 , c ) 38 , d ) can not be determined , e ) none of these", "output": [ "b" ] }, { "id": "task1420-6acb9a1d553c4cc8a8b60ebfa7acc995", "input": "Problem: the average of 1 st 3 of 4 numbers is 6 and of the last 3 are 5 . if the sum of the first and the last number is 11 . what is the last numbers ? \nOptions: a ) 4 , b ) 5 , c ) 6 , d ) 7 , e ) 8", "output": [ "a" ] }, { "id": "task1420-d5fade9b9eac4df2b07731cee1d55dc6", "input": "Problem: find 18 / 6 * 4 \nOptions: a ) 1.25 , b ) 4.53 , c ) 2.69 , d ) 0.89 , e ) 0.75", "output": [ "e" ] }, { "id": "task1420-2a75634754b3412fb84bf20a3e03be8e", "input": "Problem: a palindrome is a number that reads the same forward and backward , such as 145 . how many odd , 4 - digit numbers are palindromes ? \nOptions: a ) 40 , b ) 45 , c ) 80 , d ) 90 , e ) 2500", "output": [ "c" ] }, { "id": "task1420-60bb05c5fbba40739b9cc67fe609893d", "input": "Problem: in 1990 the budgets for projects q and v were $ 500,000 and $ 780,000 , respectively . in each of the next 10 years , the budget for q was increased by $ 30,000 and the budget for v was decreased by $ 10,000 . in which year was the budget for q equal to the budget for v ? \nOptions: a ) 1992 , b ) 1993 , c ) 1994 , d ) 1995 , e ) 1997", "output": [ "e" ] }, { "id": "task1420-20a6cd99b5304227b629b39598b5102a", "input": "Problem: the average of first six prime numbers greater than 3 is ? \nOptions: a ) 16 , b ) 10 , c ) 12 , d ) 19 , e ) 17.8", "output": [ "c" ] }, { "id": "task1420-38ac384f9ae546c9adb2e27c8dcfabfc", "input": "Problem: exactly 3 / 5 of the people in the room are under the age of 21 , and exactly 5 / 13 of the people in the room are over the age of 65 . if the total number of the people in the room is greater than 50 and less than 100 , how many people in the room are under the age of 21 ? \nOptions: a ) 21 , b ) 35 , c ) 39 , d ) 60 , e ) 42", "output": [ "e" ] }, { "id": "task1420-6d443c1ab4354f42b5536c872c00c31a", "input": "Problem: a person decided to build a house in 100 days . he employed 100 men in the beginning and 100 more after 50 days and completed the construction in stipulated time . if he had not employed the additional men , how many days behind schedule would it have been finished ? \nOptions: a ) 40 , b ) 80 , c ) 50 , d ) 60 , e ) 50", "output": [ "c" ] }, { "id": "task1420-7f6bad76f66a47c5aca3ca7d1731b415", "input": "Problem: the difference between the squares of two consecutive odd integers is a square < 1000 whose root equals the combined sum of the digits of the two integers . what is the sum of the digits x of the larger integer ? \nOptions: a ) x = 2 , b ) x = 5 , c ) x = 8 , d ) 10 , e ) 11", "output": [ "a" ] }, { "id": "task1420-d4863a535178415cb5d02e2bc16433f5", "input": "Problem: a driver would have reduced the time it took to drive from home to the store by 1 / 4 if the average speed had been increased by 10 miles per hour . what was the actual average speed , in miles per hour , when the driver drove from home to the store ? \nOptions: a ) 12 , b ) 15 , c ) 20 , d ) 25 , e ) 30", "output": [ "e" ] }, { "id": "task1420-f7bb0fdd110a435088bb6607009064ea", "input": "Problem: m = { - 6 , - 5 , - 4 , - 3 , - 2 , - 1 } t = { - 5 , - 4 , - 3 , - 2 , - 1 , 0 , 1 , 2 } if an integer is to be randomly selected from set m above and an integer is to be randomly selected from set t above , what is the probability that the product of the two integers will be negative ? \nOptions: a ) 0 , b ) 1 / 4 , c ) 2 / 5 , d ) 1 / 2 , e ) 3 / 5", "output": [ "b" ] }, { "id": "task1420-3f2986ea8d894f1d9ef670f4e85d4233", "input": "Problem: 12 + 6 = 792 10 + 2 = 110 1 + 9 = 9 2 + 7 = 16 11 + 4 = ? ? solve it ? \nOptions: a ) 100 , b ) 120 , c ) 190 , d ) 160 , e ) 154", "output": [ "e" ] }, { "id": "task1420-cfaadc68bae548d38d8d1f7a68535704", "input": "Problem: crazy eddie has a key chain factory . eddie managed to decrease the cost of manufacturing his key chains while keeping the same selling price , and thus increased the profit from the sale of each key chain from 50 % of the selling price to 50 % of the selling price . if the manufacturing cost is now $ 50 , what was it before the decrease ? \nOptions: a ) $ 20 , b ) $ 40 , c ) $ 50 , d ) $ 80 , e ) $ 100", "output": [ "c" ] }, { "id": "task1420-50187dc83a0a4b5fbea615cba92136c2", "input": "Problem: if s = { 8 , 16 , 24 , 32 , 40 , 48 } , what is the product of mean and median of the numbers in s ? \nOptions: a ) 652 , b ) 589 , c ) 456 , d ) 620 , e ) 784", "output": [ "e" ] }, { "id": "task1420-0ec848f2f1ff466d84c5b91620e9b3e4", "input": "Problem: 48.95 - 32.006 = ? \nOptions: a ) 16.089 , b ) 16.35 , c ) 16.89 , d ) 16.944 , e ) none of them", "output": [ "d" ] }, { "id": "task1420-accc5412d4e04eba939534642a893e1e", "input": "Problem: a + 2 b = 6 , ab = 4 2 / a + 1 / b = ? \nOptions: a ) 3 / 2 , b ) 5 / 2 , c ) 7 / 2 , d ) 9 / 2 , e ) 11 / 2", "output": [ "a" ] }, { "id": "task1420-62fc0619b1014190954cf3239ba4218a", "input": "Problem: find ( 7 x + 6 y ) / ( x - 2 y ) if x / 2 y = 3 / 2 ? \nOptions: a ) 24 , b ) 25 , c ) 26 , d ) 27 , e ) 29", "output": [ "d" ] }, { "id": "task1420-d82f256da2794e7fbf023b2cf234f37a", "input": "Problem: a picnic attracts 240 persons . there are 40 more men than women , and 40 more adults than children . how many men are at this picnic ? \nOptions: a ) 240 , b ) 75 , c ) 110 , d ) 90 , e ) 200", "output": [ "d" ] }, { "id": "task1420-14cf26c4c9b642eb9b24ef4f770446e5", "input": "Problem: bert left the house with n dollars . he spent 1 / 4 of this at the hardware store , then $ 8 at the dry cleaners , and then half of what was left at the grocery store . when he got home , he had $ 10 left in his pocket . what was the value of n ? \nOptions: a ) $ 32 , b ) $ 36 , c ) $ 52 , d ) $ 60 , e ) $ 68", "output": [ "a" ] }, { "id": "task1420-8252df3683a349da947ecaec398d4e4e", "input": "Problem: how many even 4 - digit numbers can be formed , so that the numbers are divisible by 4 and no two digits are repeated ? \nOptions: a ) 336 , b ) 784 , c ) 1120 , d ) 1804 , e ) 1936", "output": [ "c" ] }, { "id": "task1420-c14d7f8ad64640c7be964b6695f64f8a", "input": "Problem: there were totally 100 men . 85 are married . 75 have t . v , 85 have radio , 70 have a . c . how many men have t . v , radio , a . c and also married ? \nOptions: a ) 11 , b ) 12 , c ) 13 , d ) 14 , e ) 15", "output": [ "e" ] }, { "id": "task1420-2c3b53ce685e4371bb7399296c028b9c", "input": "Problem: find the average of first 4 multiples of 15 ? \nOptions: a ) 10 , b ) 12.6 , c ) 22.5 , d ) 31.3 , e ) 37.5", "output": [ "e" ] }, { "id": "task1420-6a28003d5b5c4ec2acb17a59272834f6", "input": "Problem: what will be the reminder when ( 31 ^ 31 + 31 ) is divided by 32 ? \nOptions: a ) 72 , b ) 43 , c ) 91 , d ) 40 , e ) 30", "output": [ "e" ] }, { "id": "task1420-1893954ba9c84c6a89f2b68538ae9b34", "input": "Problem: every year an amount increases by 1 / 8 th of itself . how much will it be after two years if its present value is rs . 51200 ? \nOptions: a ) 81000 , b ) 81028 , c ) 27772 , d ) 29889 , e ) 64800", "output": [ "e" ] }, { "id": "task1420-8d3e9c5ecbbc4dd092bc792d8b7f3d4a", "input": "Problem: the last two - digits in the multiplication 122 × 123 × 125 × 127 × 129 will be \nOptions: a ) 20 , b ) 50 , c ) 30 , d ) 40 , e ) 10", "output": [ "b" ] }, { "id": "task1420-7867f4fb6a654eb1937cf0d71823164d", "input": "Problem: there are 14 teams in a certain league and each team plays each of the other teams exactly once . what is the total number of games played ? \nOptions: a ) 91 , b ) 98 , c ) 105 , d ) 112 , e ) 119", "output": [ "a" ] }, { "id": "task1420-77606272658f45f39638fa45358cf2ac", "input": "Problem: a is the average ( arithmetic mean ) of the first 7 positive multiples of 6 and b is the median of the first 3 positive multiples of positive integer n . if the value of a ^ 2 – b ^ 2 is zero , what is the value of n ? \nOptions: a ) 8 , b ) 10 , c ) 12 , d ) 16 , e ) 24", "output": [ "c" ] }, { "id": "task1420-8bb5fd65d0134b898fb906477acb68b9", "input": "Problem: of the 80 people in a room , 2 / 5 are women . if 1 / 2 of the people are married , what is the maximum number of women in the room who could be unmarried ? \nOptions: a ) 20 , b ) 22 , c ) 26 , d ) 30 , e ) 32", "output": [ "e" ] }, { "id": "task1420-992c6e5306664d72b223940e839a30e0", "input": "Problem: all the students of class are told to sit in circle shape . here the boy at the 6 th position is exactly opposite to 16 th boy . total number of boys in the class ? \nOptions: a ) 10 , b ) 15 , c ) 20 , d ) 25 , e ) 30", "output": [ "c" ] }, { "id": "task1420-569db9c4f326473f96491bc1846a72dc", "input": "Problem: what is the units digit of ( 22 ^ 4 ) ( 16 ^ 3 ) ( 41 ^ 8 ) ? \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6", "output": [ "e" ] }, { "id": "task1420-356752a98eae42cab5e360adf6045c68", "input": "Problem: the product of two numbers is 220 and the sum of their squares is 289 . the sum of the number is ? \nOptions: a ) a ) 23 , b ) b ) 25 , c ) c ) 27 , d ) d ) 31 , e ) e ) 35", "output": [ "c" ] }, { "id": "task1420-6ec58c1c5862477784ffc8e3fbbd3f81", "input": "Problem: 1 ⁄ 5 of a number is equal to 5 ⁄ 8 of the second number . if 35 is added to the first number then it becomes 4 times of second number . what is the value of the second number ? \nOptions: a ) 125 , b ) 70 , c ) 40 , d ) 25 , e ) none of these", "output": [ "c" ] }, { "id": "task1420-c6d5fae5ddd3466b90f5be8a249ad72b", "input": "Problem: 43 : 34 : : 52 : ? \nOptions: a ) 49 , b ) 25 , c ) 36 , d ) 64 , e ) 56", "output": [ "b" ] }, { "id": "task1420-d1e1b2ef02c14074856b343997492634", "input": "Problem: 8 is 2 % of a , and 2 is 8 % of b . c equals b / a . what is the value of c ? \nOptions: a ) 1 / 16 , b ) 1 / 4 , c ) 1 , d ) 4 , e ) 8", "output": [ "a" ] }, { "id": "task1420-506bb01053924e9f998f733b9c0e1e99", "input": "Problem: a sum of money is distributed among w , x , y , z in the proportion of 1 : 6 : 2 : 4 . if x gets $ 1500 more than y , what is the w ' s share ? \nOptions: a ) $ 1500 , b ) $ 150 , c ) $ 375 , d ) $ 200 , e ) $ 450", "output": [ "c" ] }, { "id": "task1420-371f913ce54b497785b01cddfb6f966c", "input": "Problem: 0.363 * 0.522 + 0.363 * 0.478 = ? \nOptions: a ) 0.522 , b ) 0.845 , c ) 0.363 , d ) 0.985 , e ) 0.885", "output": [ "c" ] }, { "id": "task1420-2495afcfe1c34ef590b2f652da6aa300", "input": "Problem: bookman purchased 40 copies of a new book released recently , 10 of which are hardback and sold for $ 20 each , and rest are paperback and sold for $ 10 each . if 14 copies were sold and the total value of the remaining books was 300 , how many paperback copies were sold ? \nOptions: a ) 6 , b ) 4 , c ) 8 , d ) 10 , e ) 12", "output": [ "c" ] }, { "id": "task1420-e181e090d23c4f58b0b44b53c80bf6f9", "input": "Problem: the price of commodity x increases by 40 cents every year , while the price of commodity y increases by 15 cents every year . in 2001 , the price of commodity x was $ 4.20 and the price of commodity y was $ 6.30 . in which year will the price of commodity x be 15 cents more than the price of commodity y ? \nOptions: a ) 2010 , b ) 2011 , c ) 2012 , d ) 2013 , e ) 2014", "output": [ "a" ] }, { "id": "task1420-196b69e4448a481cb1c9078e2107c19e", "input": "Problem: how many kg of pure salt must be added to 100 kg of 10 % solution of salt and water to increase it to a 25 % solution ? \nOptions: a ) a ) 6.7 , b ) b ) 1.3 , c ) c ) 9.6 , d ) d ) 20 , e ) e ) 7.9", "output": [ "d" ] }, { "id": "task1420-f2f257ab1ed14fa5b29369e4737a38fb", "input": "Problem: there are some people in party , 1 / 3 rd left the party . then 2 / 5 th of the remaining left the party , then 2 / 3 rd of the remaining left the party . at last 6 were remaining . how many people were in total ? \nOptions: a ) 45 , b ) 27 , c ) 28 , d ) 26 , e ) 91", "output": [ "a" ] }, { "id": "task1420-13a7125cb8c349139d064fc580225a9f", "input": "Problem: what is the least number should be added to 929 , so the sum of the number is completely divisible by 30 ? \nOptions: a ) 1 , b ) 2 , c ) 5 , d ) 6 , e ) 8", "output": [ "a" ] }, { "id": "task1420-a0b1ab6e451e49a1a5d56434b6b3472d", "input": "Problem: last year manfred received 26 paychecks . each of his first 6 paychecks was $ 750 ; each of his remaining paychecks was $ 50 more than each of his first 6 paychecks . to the nearest dollar , what was the average ( arithmetic mean ) amount of his pay checks for the year ? \nOptions: a ) $ 752 , b ) $ 755 , c ) $ 765 , d ) $ 788 , e ) $ 775", "output": [ "d" ] }, { "id": "task1420-966017f473e7496cb6956d2d26f37f36", "input": "Problem: a positive number x is multiplied by 4 , and this product is then divided by 3 . if the positive square root of the result of these two operations equals x , what is the value of x ? \nOptions: a ) 9 / 4 , b ) 3 / 2 , c ) 4 / 3 , d ) 2 / 3 , e ) 1 / 2", "output": [ "c" ] }, { "id": "task1420-a4bca58c898e4b9da87c3d7700b09c3c", "input": "Problem: if x and y are integers such that x ^ 2 = y and xy = 27 , then x – y = ? \nOptions: a ) - 30 , b ) - 20 , c ) - 6 , d ) 5 , e ) 20", "output": [ "c" ] }, { "id": "task1420-8f3f20db75d54a4ea7567fa4204199f3", "input": "Problem: a jewelry store purchased a pair of earrings for $ 240 and was selling it at a price that equaled the purchase price of the earrings plus a markup that was 25 percent of the selling price . after some time a jewelry store owner decided to decrease the selling price by 20 percent . what was the jewelry store ' s gross profit on this sale ? \nOptions: a ) $ 14 , b ) $ 2 , c ) $ 10 , d ) $ 16 , e ) $ 18", "output": [ "d" ] }, { "id": "task1420-be0a914950b7497fa26b36cc9ff32aef", "input": "Problem: what is the smallest positive integer k such that the product of 2205 x k is a perfect square ? \nOptions: a ) 5 , b ) 9 , c ) 15 , d ) 25 , e ) 63", "output": [ "a" ] }, { "id": "task1420-7c2a8721d826495492c6e54ffc841b92", "input": "Problem: what is the smallest positive integer x such that 66 - x is the cube of a positive integer \nOptions: a ) 5 , b ) 7 , c ) 47 , d ) 9 , e ) 2", "output": [ "e" ] }, { "id": "task1420-4f5b767ae4994f12b4e27a0bfc62e4dc", "input": "Problem: in 1982 and 1983 , company b ’ s operating expenses were $ 10.0 million and $ 12.0 million , respectively , and its revenues were $ 15.6 million and $ 18.8 million , respectively . what was the percent increase in company b ’ s profit ( revenues minus operating expenses ) from 1982 to 1983 ? \nOptions: a ) 3 % , b ) 16 2 / 3 % , c ) 25 % , d ) 21 3 / 7 % , e ) 60 %", "output": [ "d" ] }, { "id": "task1420-527eab08c1ad4e7baf3a2e8061d5f335", "input": "Problem: in a river flowing at 2 km / hr , a boat travels 48 km upstream and then returns downstream to the starting point . if its speed in still water be 6 km / hr , find the total journey time . \nOptions: a ) 10 hours , b ) 12 hours , c ) 14 hours , d ) 18 hours , e ) none of these", "output": [ "d" ] }, { "id": "task1420-ed90c8fae2aa47918e61966367a5d221", "input": "Problem: the total cost of a vacation was divided among 3 people . if the total cost of the vacation had been divided equally among 5 people , the cost per person would have been $ 50 less . what was the total cost cost of the vacation ? \nOptions: a ) $ 200 , b ) $ 375 , c ) $ 400 , d ) $ 500 , e ) $ 600", "output": [ "b" ] }, { "id": "task1420-5b113e69ee6c47d893bddd79b54f5693", "input": "Problem: joan took out a mortgage from hel local bank . each monthly mortgage payment she makes must be triple the amount of the previous month ' s payment . if her first payment is $ 100 , and the total amount she must pay back is $ 36400 , how many months will it take joan to pay back her mortgage ? \nOptions: a ) 6 , b ) 8 , c ) 10 , d ) 11 , e ) 13", "output": [ "a" ] }, { "id": "task1420-01fab046cb6c4417b73656cf94797963", "input": "Problem: in a school with 632 students , the average age of the boys is 12 years and that of the girls is 11 years . if the average age of the school is 11 years 9 months , then the number of girls in the school is \nOptions: a ) 150 , b ) 200 , c ) 250 , d ) 158 , e ) none", "output": [ "d" ] }, { "id": "task1420-0af457da5538415c9d0520b0a65f232f", "input": "Problem: in a certain brick wall , each row of bricks above the bottom row contains one less brick than the row just below it . if there are 5 rows in all and a total of 200 bricks in the wall , how many bricks does the bottom row contain ? \nOptions: a ) 42 , b ) 35 , c ) 40 , d ) 33 , e ) 38", "output": [ "e" ] }, { "id": "task1420-e6376c79e5d64be195bb9ae4529b9136", "input": "Problem: the smallest number which when diminished by 6 , is divisible by 12 , 16 , 18 , 21 and 28 is \nOptions: a ) 1008 , b ) 1014 , c ) 1022 , d ) 1032 , e ) 1043", "output": [ "b" ] }, { "id": "task1420-9dd6dc7057b840968f721c600cd91f6a", "input": "Problem: a , b , and c are integers and a < b < c . s is the set of all integers from a to b , inclusive . q is the set of all integers from b to c , inclusive . the median of set s is ( 3 / 4 ) * b . the median of set q is ( 8 / 8 ) * c . if r is the set of all integers from a to c , inclusive , what fraction of c is the median of set r ? \nOptions: a ) 3 / 8 , b ) 1 / 2 , c ) 11 / 16 , d ) 5 / 7 , e ) 3 / 4", "output": [ "e" ] }, { "id": "task1420-f3715cbed86440a690d37dc395bd4764", "input": "Problem: x and y began business with rs . 10000 and rs . 8000 after 6 months , x advances rs . 2000 and y advances rs . 2000 more . at the end of the year , their profits amounted to rs . 2000 find the share of x and y respectively . \nOptions: a ) 10001000 , b ) 9001100 , c ) 1200800 , d ) 8001200 , e ) 1100 , 900", "output": [ "e" ] }, { "id": "task1420-fe438a6693444acf88d15f5511d06a49", "input": "Problem: how many integers are between 4 and 87 / 8 , inclusive ? \nOptions: a ) 4 , b ) 5 , c ) 7 , d ) 9 , e ) 10", "output": [ "c" ] }, { "id": "task1420-1aab33b051934cc1ac1ae426eea23733", "input": "Problem: the average weight of 8 people increases by 2.5 kg when a new person comes in place of one of them weighing 45 kg . what is the weight of the new person ? \nOptions: a ) 75 kg , b ) 85 kg , c ) 95 kg , d ) 65 kg , e ) 55 kg", "output": [ "d" ] }, { "id": "task1420-75a8b11e9b3e4f259f0070cb38469f80", "input": "Problem: at a certain company , each employee has a salary grade s that is at least 1 and at most 5 . each employee receives an hourly wage p , in dollars , determined by the formula p = 9.50 + 0.25 ( s – 2 ) . an employee with a salary grade of 5 receives how many more dollars per hour than an employee with a salary grade of 1 ? \nOptions: a ) $ 0.50 , b ) $ 1.00 , c ) $ 1.25 , d ) $ 1.50 , e ) $ 1.75", "output": [ "e" ] }, { "id": "task1420-cb01a14a85b743e78d4c4057c12db44d", "input": "Problem: the average age of a class is 15.8 years . the average age of the boys in the class is 16.4 years and that of the girls is 15.4 years . what is the ratio of boys to girls in the class ? \nOptions: a ) 1 : 2 , b ) 3 : 4 , c ) 2 : 3 , d ) 3 : 2 , e ) none of these", "output": [ "c" ] }, { "id": "task1420-f4ba0c39190444af8117e6ee711f4da6", "input": "Problem: what is the remainder when 46 * 49 is divided by 8 ? \nOptions: a ) 1 , b ) 3 , c ) 4 , d ) 6 , e ) 7", "output": [ "d" ] }, { "id": "task1420-d0e20715b8e04db2896552badda065de", "input": "Problem: find a positive number which when increased by 17 is equal to 60 times the reciprocal of the number . \nOptions: a ) 3 , b ) 5 , c ) 7 , d ) 12 , e ) 15", "output": [ "a" ] }, { "id": "task1420-00c9edf7826a42738c20f9f054cb149e", "input": "Problem: how many times will the digit 3 be written when listing the integers from 1 to 1000 ? \nOptions: a ) 100 , b ) 200 , c ) 300 , d ) 400 , e ) 500", "output": [ "c" ] }, { "id": "task1420-1f92a1b92c344b55a3a82433efdcafce", "input": "Problem: average families of 4 pay $ 3000 for their health insurance deductibles annually . there will be a 2 / 3 increase in the deductibles for next year . how much more will the average family pay in deductibles next year ? \nOptions: a ) $ 1000 , b ) $ 2000 , c ) $ 3000 , d ) $ 4000 , e ) $ 5000", "output": [ "b" ] }, { "id": "task1420-c29ea47389a04ab1a61521db460f5f9f", "input": "Problem: evaluate 64 / . 08 \nOptions: a ) 800 , b ) 500 , c ) 505 , d ) none of these , e ) 506", "output": [ "a" ] }, { "id": "task1420-b711b6b8b4f84becb55b443765ef082c", "input": "Problem: 64 + 5 * 12 / ( 180 / 3 ) = ? \nOptions: a ) 22 , b ) 77 , c ) 29 , d ) 65 , e ) 21", "output": [ "d" ] }, { "id": "task1420-bd7f337ae12648ef96cb6f137a517889", "input": "Problem: what should be the least number to be added to the 3198 number to make it divisible by 8 ? \nOptions: a ) 12 , b ) 17 , c ) 2 , d ) 77 , e ) 26", "output": [ "c" ] }, { "id": "task1420-2f037a9a016047c3b36739c45e3a8ced", "input": "Problem: a sports retailer ordered white and yellow tennis balls in equal number but the dispatch clerk of the tennis ball company erred and dispatched 50 extra yellow balls and making ratio of white balls to yellow balls 8 / 15 . how many tennis balls did the retailer order originally . \nOptions: a ) 110 , b ) 114.28 , c ) 140 , d ) 160 , e ) 214", "output": [ "b" ] }, { "id": "task1420-8a9923e54ec1488b925732bf654361ae", "input": "Problem: a qualified worker digs a well in 5 hours . he invites 2 apprentices , both capable of working 3 / 5 as fast and 2 trainees both working 1 / 5 as fast as he . if the 5 - person team digs the same well , how much time does the team need to finish the job ? \nOptions: a ) 1 : 42 , b ) 1 : 34 , c ) 1 : 44 , d ) 1 : 54 , e ) 2 : 14", "output": [ "a" ] }, { "id": "task1420-032961a5a87f40b4a6aaa22021d5a48d", "input": "Problem: there are 3 vessels of equal capacity . vessel a contains milk and water in the ratio 4 : 3 ; vessel b contains milk and water in the ratio 2 : 1 and vessel c contains milk and water in the ratio 3 : 2 . if the mixture in all the 3 vessels is mixed up . what will be the ratio of water to milk ? \nOptions: a ) 9 : 6 , b ) 3 : 2 , c ) 118 : 126 , d ) 122 : 193 , e ) 201 : 132", "output": [ "d" ] }, { "id": "task1420-ab2419809354441e962c33554c76513b", "input": "Problem: find the principle on a certain sum of money at 5 % per annum for 2 2 / 5 years if the amount being rs . 1680 ? \nOptions: a ) 1500 , b ) 2777 , c ) 2889 , d ) 27670 , e ) 2771", "output": [ "a" ] }, { "id": "task1420-dadf7d112b104422801b329cbca15807", "input": "Problem: the mean of 50 observations was 36 . it was found later that an observation 58 was wrongly taken as 43 . the corrected new mean is ? \nOptions: a ) 36.7 , b ) 36.1 , c ) 36.5 , d ) 36.9 , e ) 36.3", "output": [ "e" ] }, { "id": "task1420-2b1fa7fc9ae44b39b0c928eaae92101b", "input": "Problem: subtracting 2 % of a from a is equivalent to multiplying a by how much ? \nOptions: a ) 0.98 , b ) 9.4 , c ) 0.094 , d ) 94 , e ) none", "output": [ "a" ] }, { "id": "task1420-e798421615a34936b53cd3de467ab9d4", "input": "Problem: a mathematics teacher tabulated the marks secured by 35 students of 8 th class . the average of their marks was 72 . if the marks secured by reema was written as 36 instead of 66 then find the correct average marks up to two decimal places . \nOptions: a ) 72.85 , b ) 74.31 , c ) 72.43 , d ) 73.43 , e ) can not be determined", "output": [ "a" ] }, { "id": "task1420-92460e8acd774c6db83a3f67a29c4f93", "input": "Problem: the difference of two numbers is 11 . one third of their sum is 7 . what are the two numbers ? \nOptions: a ) 21,10 , b ) 16,5 , c ) 3,14 , d ) 11,10 , e ) 7,14", "output": [ "b" ] }, { "id": "task1420-73f9c2af45cd4e16a4756907cb0a017a", "input": "Problem: a man is 20 years older than his son . in two years , his age will be twice the age of his son . the present age of the son is ? \nOptions: a ) 11 , b ) 25 , c ) 27 , d ) 18 , e ) 91", "output": [ "d" ] }, { "id": "task1420-f7960d9d6c5d417ca0cc6de7d2db2889", "input": "Problem: the average of first three prime numbers greater than 5 is ? \nOptions: a ) 12.6 , b ) 12.9 , c ) 22.3 , d ) 10.3 , e ) 12.7", "output": [ "d" ] }, { "id": "task1420-7411c45afabc4d9e8d1eaaaef06f19aa", "input": "Problem: 11 + 12 + 13 + . . . 51 + 52 + 53 = ? \nOptions: a ) 1361 , b ) 1376 , c ) 1363 , d ) 1364 , e ) 1365", "output": [ "b" ] }, { "id": "task1420-41f0e4e7018249c9aa67decea45a24a2", "input": "Problem: a 40 - liter solution of alcohol and water is 5 percent alcohol . if 3.5 liters of alcohol and 6.5 liters of water are added to this solution , what percent of the solution produced is alcohol ? \nOptions: a ) 8 % , b ) 11 % , c ) 14 % , d ) 17 % , e ) 20 %", "output": [ "b" ] }, { "id": "task1420-e7a86b6a3d1e450ab5a4ca88738796aa", "input": "Problem: of the 3,600 employees of company x , 16 / 25 are clerical . if the clerical staff were to be reduced by 1 / 4 , what percent of the total number of the remaining employees would then be clerical ? \nOptions: a ) 57 % , b ) 22.2 % , c ) 20 % , d ) 12.5 % , e ) 11.1 %", "output": [ "a" ] }, { "id": "task1420-36853fc6b7334a69ae7d2cd274c374b6", "input": "Problem: in a certain diving competition , 5 judges score each dive on a scale from 1 to 10 . the point value of the dive is obtained by dropping the highest score and the lowest score and multiplying the sum of the remaining scores by the degree of difficulty . if a dive with a degree of difficulty of 3.2 received scores of 7.5 , 8.3 , 9.0 , 6.0 , and 8.6 , what was the point value of the dive ? \nOptions: a ) 78.08 , b ) 73.6 , c ) 75.2 , d ) 76.8 , e ) 81.6", "output": [ "a" ] }, { "id": "task1420-07b7576b58f54a11bc30a46823125a33", "input": "Problem: 4 , 12 , 48 , 240 , ( . . . ) \nOptions: a ) 1440 , b ) 10080 , c ) 6200 , d ) 10020 , e ) 12500", "output": [ "a" ] }, { "id": "task1420-7e5321bf02d14b3ab9ed4c2387df56b5", "input": "Problem: if 5 % of a number is equal to one - third of another number , what is the ratio of first number to the second number ? \nOptions: a ) 2 : 5 , b ) 20 : 3 , c ) 3 : 7 , d ) 6 : 11 , e ) 2 : 3", "output": [ "b" ] }, { "id": "task1420-ee58ae89dc37426cbca885a107493aef", "input": "Problem: at a certain committee meeting only associate professors and assistant professors are present . each associate professor has brought 2 pencils and 1 chart to the meeting , while each assistant professor has brought 1 pencil and 2 charts . if a total of 10 pencils and 14 charts have been brought to the meeting , how many people are present ? \nOptions: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10", "output": [ "c" ] }, { "id": "task1420-46d0c06f612c4734870ce5099b1efb20", "input": "Problem: the average weight of 8 person ' s increases by 5 kg when a new person comes in place of one of them weighing 35 kg . what might be the weight of the new person ? \nOptions: a ) 80 kg , b ) 85 kg , c ) 75 kg , d ) 100 kg , e ) 110 kg", "output": [ "c" ] }, { "id": "task1420-e70b60b9e76f4c4fb52d33b11fede60d", "input": "Problem: if n is a prime number greater than 17 , what is the remainder when n ^ 2 is divided by 12 ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 5", "output": [ "b" ] }, { "id": "task1420-9d30bb3a95cc4847baa477adc89fee9b", "input": "Problem: elena purchased brand x pens for $ 4.00 apiece and brand y for $ 2.20 apiece . if elena purchased a total of 12 of these pens for $ 42.00 , how many brand x pens did she purchase ? \nOptions: a ) 4 , b ) 5 , c ) 6 , d ) 7 , e ) 8", "output": [ "c" ] }, { "id": "task1420-4d096ec6901d4933822d822b03f8d34c", "input": "Problem: suraj has a certain average of runs for 8 innings . in the 9 th innings he scores 90 runs thereby increasing his average by 6 runs . what is his average after the 9 th innings ? \nOptions: a ) 42 , b ) 64 , c ) 36 , d ) 72 , e ) 27", "output": [ "a" ] }, { "id": "task1420-3e7c0897dd0e4487aa48cd37b80063fc", "input": "Problem: rahul is 30 years older than his daughter mary . in 20 years rahul will be twice as old as mary . what is mary current age . \nOptions: a ) 12 , b ) 14 , c ) 10 , d ) 16 , e ) 18", "output": [ "c" ] }, { "id": "task1420-bca7ef04d91445bc8f079dc2b2bbb49d", "input": "Problem: tara bought 19 cartons of ice cream and 4 cartons of yoghurt . each carton of ice cream cost $ 7 and each carton of yoghurt cost $ 1 . how much more did tara spend on ice cream than on yoghurt ? \nOptions: a ) $ 144 , b ) $ 130 , c ) $ 80 , d ) $ 110 , e ) $ 129", "output": [ "e" ] }, { "id": "task1420-65b151de6e5940378907638bd915d58e", "input": "Problem: two trains of equal are running on parallel lines in the same direction at 46 km / hr and 36 km / hr . the faster train passes the slower train in 45 sec . the length of each train is ? \nOptions: a ) 50 , b ) 26 , c ) 27 , d ) 62.5 , e ) 21", "output": [ "d" ] }, { "id": "task1420-aa4ff02a2102458b83b49c70b9853824", "input": "Problem: the largest 4 digit number exactly divisible by 90 is ? \nOptions: a ) 9935 , b ) 9939 , c ) 9944 , d ) 9954 , e ) 9990", "output": [ "e" ] }, { "id": "task1420-a785bcb0580b4ee7a8c8c4f6d0404b52", "input": "Problem: a , b and c rents a pasture for rs . 730 . a put in 12 horses for 8 months , b 16 horses for 9 months and 18 horses for 6 months . how much should c pay ? \nOptions: a ) 270 , b ) 199 , c ) 676 , d ) 156 , e ) 227", "output": [ "e" ] }, { "id": "task1420-bcf64993f30241a58ffcf62c97e63352", "input": "Problem: an alloy of copper and zinc contains copper and zinc in the ratio 3 : 5 . another alloy of copper and zinc contains copper and zinc in the ratio 6 : 2 . in what ratio should the two alloys be mixed so that the resultant alloy contains equal proportions of copper and zinc ? \nOptions: a ) 1 : 2 , b ) 2 : 2 , c ) 2 : 5 , d ) 2 : 6 , e ) 2 : 7", "output": [ "a" ] }, { "id": "task1420-257c311e74224a4dac23283469d6f8fd", "input": "Problem: the overall age of x and y is 10 year greater than the overall age of y and z . z is how many decades younger that x ? \nOptions: a ) 11 , b ) 10 , c ) 12 , d ) 17 , e ) 19", "output": [ "b" ] }, { "id": "task1420-184c4cac5fb64ff58d1cc92aa0b79108", "input": "Problem: ( 7 + 7 + 7 ÷ 7 ) / ( 5 + 5 + 5 ÷ 5 ) = ? \nOptions: a ) 1 , b ) 1 / 5 , c ) 15 / 11 , d ) 3 / 11 , e ) none", "output": [ "c" ] }, { "id": "task1420-a307cf2a4609466aaec506b8893d2cce", "input": "Problem: the average age of 15 students of a class is 15 years . out of these , the average age of 8 students is 14 years and that of the other 6 students is 16 years , the age of the 15 th student is \nOptions: a ) 17 , b ) 12 , c ) 13 , d ) 14 , e ) 15", "output": [ "a" ] }, { "id": "task1420-38a2a35fcdf14af698e8775118076f03", "input": "Problem: ( 12 ) ^ 3 x 6 ^ 4 ÷ 432 = ? \nOptions: a ) 5184 , b ) 5060 , c ) 5148 , d ) 5084 , e ) none of them", "output": [ "e" ] }, { "id": "task1420-56f5d262dc4549229d9e2d4109c08e53", "input": "Problem: ( 2 ^ 2 + 4 ^ 2 + 6 ^ 2 + . . . . . + 14 ^ 2 ) = ? \nOptions: a ) 88 , b ) 560 , c ) 99 , d ) 550 , e ) 540", "output": [ "b" ] }, { "id": "task1420-59fad18c4047499cbd036485f1722d6d", "input": "Problem: a = { 0 , 1 , - 3 , 6 , - 8 , - 10 } b = { - 1 , 2 , - 4 , 7 , 6 , - 9 } if a is a number that is randomly selected from set a , and b is a number that is randomly selected from set b , what is the probability that ab < 0 ? \nOptions: a ) 1 / 4 , b ) 1 / 3 , c ) 5 / 13 , d ) 5 / 12 , e ) 1 / 2", "output": [ "d" ] }, { "id": "task1420-44f52f6b3f7c48f4b5eb90a392bf532c", "input": "Problem: set x consists of all two - digit primes and set y consists of all positive multiples of 4 less than 100 . if the two sets are combined into one , what will be the range of the new set ? \nOptions: a ) 84 , b ) 93 , c ) 90 , d ) 92 , e ) 95", "output": [ "b" ] }, { "id": "task1420-0b22c09fae2b4a35a4d1d7f36546b049", "input": "Problem: a class of 20 students took a science test . 10 students had an average ( arithmetic mean ) score of 80 . the other students had an average score of 60 . what is the average score of the whole class ? \nOptions: a ) 70 , b ) 60 , c ) 55 , d ) 65 , e ) 85", "output": [ "a" ] }, { "id": "task1420-c00601afc95a4e97a4879b55db6b15e1", "input": "Problem: a jogger running at 9 km / hr along side a railway track is 240 m ahead of the engine of a 100 m long train running at 45 km / hr in the same direction . in how much time will the train pass the jogger ? \nOptions: a ) 28 sec , b ) 16 sec , c ) 34 sec , d ) 18 sec , e ) 17 sec", "output": [ "c" ] }, { "id": "task1420-3282bc70affd449b80fe7c4745fc3ba6", "input": "Problem: the median annual household income in a certain community of 21 households is $ 50000 . if the mean w income of a household increases by 10 % per year over the next 2 years , what will the median income in the community be in 2 years ? \nOptions: a ) $ 50000 , b ) $ 60000 , c ) $ 60500 , d ) $ 65000 , e ) can not be determined", "output": [ "e" ] }, { "id": "task1420-491a255dbe314ea1b522749129c7cb6b", "input": "Problem: simplify : 0.3 * 0.8 + 0.1 * 0.5 \nOptions: a ) 0.52 , b ) 0.29 , c ) 0.48 , d ) 0.64 , e ) 0.46", "output": [ "b" ] }, { "id": "task1420-4767e44be4e44af598206383d0f5ae7e", "input": "Problem: salesperson a ' s compensation for any week is $ 360 plus 6 percent of the portion of a ' s total sales above $ 1,000 for that week . salesperson b ' s compensation for any week is 10 percent of a ' s total sales for that week . for what amount of total weekly sales would both salepeople earn the same compensation ? \nOptions: a ) $ 21,000 , b ) $ 18,000 , c ) $ 15,00 , d ) $ 4,500 , e ) $ 15,000", "output": [ "e" ] }, { "id": "task1420-93b20acc0db34c9792ad1215f5f60a65", "input": "Problem: if 4 xz + yw = 6 and xw + yz = 12 , what is the value of the expression ( 2 x + y ) ( 2 z + w ) ? \nOptions: a ) 9 . , b ) 30 . , c ) 15 . , d ) 16 . , e ) 18 .", "output": [ "b" ] }, { "id": "task1420-420580f94e454d1894e9cb637b497755", "input": "Problem: a football player scores 2 goals in his fifth match thus increasing his average goals score by 0.3 . the total number of goals in his 5 matches would be \nOptions: a ) 4 , b ) 6 , c ) 8 , d ) 10 , e ) 12", "output": [ "a" ] }, { "id": "task1420-f4ec86a4a7664e419740bd941a8b5981", "input": "Problem: evaluate : 40 - 12 * 3 * 2 = ? \nOptions: a ) 62 , b ) 52 , c ) 32 , d ) 12 , e ) 22", "output": [ "c" ] }, { "id": "task1420-95d5fdbd7e794be9ad2fe7e7f6af7b95", "input": "Problem: the average weight of a , b and c is 43 kg . if the average weight of a and b be 48 kg and that of b and c be 42 kg , then the weight of b is : \nOptions: a ) 55 kg , b ) 53 kg , c ) 49 kg , d ) 52 kg , e ) 51 kg", "output": [ "e" ] }, { "id": "task1420-a9ddb1613bb1484dbf36bfe70d14c643", "input": "Problem: a certain country had a total annual expenditure of $ 4.8 x 10 ^ 11 last year . if the population of the country was 240 million last year , what was the per capita expenditure ? \nOptions: a ) $ 500 , b ) $ 1,000 , c ) $ 2,000 , d ) $ 3,000 , e ) $ 5,000", "output": [ "c" ] }, { "id": "task1420-c16c119d316f4b2da24da54b9241fa2d", "input": "Problem: two trains of equal are running on parallel lines in the same direction at 46 km / hr and 36 km / hr . the faster train passes the slower train in 36.00001 sec . the length of each train is ? \nOptions: a ) 50 , b ) 99 , c ) 77 , d ) 26 , e ) 23", "output": [ "a" ] }, { "id": "task1420-a2a39157baf3499984ae51b5efde05af", "input": "Problem: what is the sum of all possible solutions to the equation √ 2 x ^ 2 − x − 9 = x + 1 ? \nOptions: a ) - 2 , b ) 2 , c ) 3 , d ) 5 , e ) 6", "output": [ "d" ] }, { "id": "task1420-b65df76960d6484988843f995c21d5f7", "input": "Problem: 3 partners a , b , c starts a business . twice a ' s capital is equal to thrice b ' s capital and b ' s capital is 4 times c ' s capital . out of a total profit of rs . 16500 at the end of the year , b ' s share is \nOptions: a ) rs . 4000 , b ) rs . 6000 , c ) rs . 7500 , d ) rs . 6600 , e ) none", "output": [ "b" ] }, { "id": "task1420-bc156b8268984435a5f6acd144a06bcc", "input": "Problem: mike earns $ 14 per hour and phil earns $ 7 per hour . approximately how much less , as a percentage , does phil earn than mike per hour ? \nOptions: a ) 25 % , b ) 32.5 % , c ) 37 % , d ) 50 % , e ) 40 %", "output": [ "d" ] }, { "id": "task1420-9e337573f5664843b59efd0ae4abca22", "input": "Problem: a cyclist rides a bicycle 9 km at an average speed of 12 km / hr and again travels 12 km at an average speed of 9 km / hr . what is the average speed for the entire trip ? \nOptions: a ) 9.5 , b ) 9.8 , c ) 10.1 , d ) 10.6 , e ) 11.2", "output": [ "c" ] }, { "id": "task1420-4304e1e468434fefbce8ca461f90f606", "input": "Problem: one half of a two digit number exceeds its one third by 4 . what is the sum of the digits of the number ? \nOptions: a ) 6 , b ) 9 , c ) 11 , d ) 12 , e ) 15", "output": [ "a" ] }, { "id": "task1420-3e22c97f1d9e42d1a1e3707992fa15df", "input": "Problem: y and z are in a relay race . y runs the first leg of the course in 58 seconds . z runs the second leg of the course in 26 seconds . what was the average time they took to run a leg of the course ? \nOptions: a ) 39 , b ) 40 , c ) 41 , d ) 42 , e ) 43", "output": [ "d" ] }, { "id": "task1420-5040a588a02842c8833e3d4a3deecfa7", "input": "Problem: there are , in a certain league , 20 teams , and each team face another team for a total of 4 times . how many games are played in the season ? \nOptions: a ) 450 , b ) 760 , c ) 110 , d ) 180 , e ) 400", "output": [ "b" ] }, { "id": "task1420-8fe84f06dfdd45b69f95e75bc3e32f3d", "input": "Problem: a miniature roulette wheel is divided into 9 equal sectors , each bearing a distinct integer from 1 to 9 , inclusive . each time the wheel is spun , a ball randomly determines the winning sector by settling in that sector . if the wheel is spun three times , approximately what is the probability that the product of the three winning sectors ’ integers will be even ? \nOptions: a ) 50 % , b ) 67 % , c ) 83 % , d ) 90 % , e ) 96 %", "output": [ "c" ] }, { "id": "task1420-7f07a333ae6d41269fdde9326362dab6", "input": "Problem: x is a positive integer less than 600 . when x is divided by 7 , the remainder is 1 ; when x is divided by 3 , the remainder is 2 . how many x are there ? \nOptions: a ) 21 , b ) 22 , c ) 23 , d ) 24 , e ) 25", "output": [ "e" ] }, { "id": "task1420-856ff7468bde4a208883f27a6d96cc3d", "input": "Problem: the average of 10 numbers was calculated as 19 . it is discovered later on that while calculating the average , one number , namely 76 , was incorrectly read as 26 . what is the correct average ? \nOptions: a ) 21 , b ) 22 , c ) 23 , d ) 24 , e ) 25", "output": [ "d" ] }, { "id": "task1420-89fc3a6993384200a26c0339fc0df004", "input": "Problem: determine the value of ( 25 / 32 + 50 / 64 ) * 2 \nOptions: a ) 25 / 8 , b ) 25 / 4 , c ) 25 / 6 , d ) 3 , e ) none", "output": [ "a" ] }, { "id": "task1420-1eb9cc68c1b94599a2039749f409038e", "input": "Problem: the set s has 36 different subsets each of which contains exactly two elements . how many subsets of s could contain exactly 7 elements each ? \nOptions: a ) 81 , b ) 63 , c ) 54 , d ) 36 , e ) 90", "output": [ "d" ] }, { "id": "task1420-da0dcc87ed284116ad79c6365e3d68f4", "input": "Problem: x and y are both integers . if x / y = 59.60 , then what is the sum of all the possible two digit remainders of x / y ? \nOptions: a ) 560 , b ) 315 , c ) 672 , d ) 900 , e ) 1024", "output": [ "b" ] }, { "id": "task1420-e444f94353d14c708c51f2efd51643a7", "input": "Problem: george baked a total of 175 pizzas for 7 straight days , beginning on saturday . he baked 3 / 5 of the pizzas the first day , and 3 / 5 of the remaining pizzas the second day . if each successive day he baked fewer pizzas than the previous day , what is the maximum number of pizzas he could have baked on wednesday ? \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 6 , e ) 7", "output": [ "d" ] }, { "id": "task1420-29ec125ae7324b4c99cbfcdc01f58789", "input": "Problem: a meal cost $ 35.50 adn there was no tax . if the tip was more than 2 pc but less than 12 pc of the price , then the total amount paid should be : \nOptions: a ) 40 - 43 , b ) 39 - 42 , c ) 39 - 42 , d ) 38 - 41 , e ) 36 - 40", "output": [ "e" ] }, { "id": "task1420-5a52356aaadc4b0598e873d7082b0b1c", "input": "Problem: n and m are each 3 - digit integers . each of the numbers 1 , 2 , 3 , 45 and 6 is a digit of either n or m . what is the smallest possible positive difference between n and m ? \nOptions: a ) 59 , b ) 49 , c ) 58 , d ) 113 , e ) 131", "output": [ "b" ] }, { "id": "task1420-dc66082c60994be4b85b833d45673630", "input": "Problem: in a urban village of india named ` ` owlna ' ' , 70 % people have refrigerator , 75 % people have television , 65 % people got computers and 95 % got air - conditionor . how many people ( minimum ) got all these luxury . \nOptions: a ) 5 % , b ) 7 % , c ) 3 % , d ) 9 % , e ) 15 %", "output": [ "a" ] }, { "id": "task1420-7cde802ee2a94e3a9b4f5ce41880762e", "input": "Problem: a cricketer scored 136 runs which included 12 boundaries and 2 sixes . what percent of his total score did he make by running between the wickets . \nOptions: a ) 46.2 % , b ) 54.54 % , c ) 55.88 % , d ) 70 % , e ) none of these", "output": [ "c" ] }, { "id": "task1420-ee37822f2be5417cb71572ec241940e6", "input": "Problem: sophia finished 2323 of a book . she calculated that she finished 90 more pages than she has yet to read . how long is her book ? \nOptions: a ) 140 , b ) 320 , c ) 745 , d ) 270 , e ) 350", "output": [ "d" ] }, { "id": "task1420-af89c2b7c40d43c898eb0309fed36ed8", "input": "Problem: if a ( a - 8 ) = 9 and b ( b - 8 ) = 9 , where a ≠ b , then a + b = \nOptions: a ) − 48 , b ) − 2 , c ) 8 , d ) 9 , e ) 48", "output": [ "c" ] }, { "id": "task1420-6d56750843ac49c5ab418a7be7e0d204", "input": "Problem: in how many ways can the integer 800 be expressed as a product of two different positive integers ? \nOptions: a ) 10 , b ) 7 , c ) 5 , d ) 4 , e ) 2", "output": [ "b" ] }, { "id": "task1420-b3b4407856134e228394dd0bffc7e33c", "input": "Problem: if n is a positive integer and n ^ 2 is divisible by 212 , then the largest positive integer that must divide n is \nOptions: a ) 6 , b ) 12 , c ) 24 , d ) 36 , e ) 48", "output": [ "d" ] }, { "id": "task1420-49ffd79b2acc4ff5936fb6ce0693fc4a", "input": "Problem: if it takes a tub 6 minutes to drain 5 / 7 of its content , how much more time will it take for the tub to be empty ? \nOptions: a ) 48 seconds , b ) 1 minute , 12 seconds , c ) 1 minute , 50 seconds , d ) 2 minutes , 24 seconds , e ) 4 minutes , 12 seconds", "output": [ "d" ] }, { "id": "task1420-2c106f10a1874df3a02b9f43484f1b93", "input": "Problem: the two lines y = x and x = - 5 intersect on the coordinate plane . what is the value of the area of the figure formed by the intersecting lines and the x - axis ? \nOptions: a ) 7.5 , b ) 10 , c ) 12.5 , d ) 15 , e ) 17.5", "output": [ "c" ] }, { "id": "task1420-073181d4288545e49b54f5046c40bed0", "input": "Problem: the average salary of all the workers in a workshop is rs . 8000 . the average salary of 7 technicians is rs . 14000 and the average salary of the rest is rs . 6000 . the total number of workers in the workshop is \nOptions: a ) 20 , b ) 21 , c ) 22 , d ) 23 , e ) 28", "output": [ "e" ] }, { "id": "task1420-941ba9994d254d1383cf0c05401f8dd2", "input": "Problem: a canoe has two oars , left and right . each oar either works or breaks . the failure or non - failure of each oar is independent of the failure or non - failure of the other . you can still row the canoe with one oar . the probability that the left oar works is 3 / 5 . the probability that the right oar works is also 3 / 5 . what is the probability j that you can still row the canoe ? \nOptions: a ) 9 / 25 , b ) 10 / 25 , c ) 6 / 10 , d ) 2 / 3 , e ) 21 / 25", "output": [ "e" ] }, { "id": "task1420-db4d75020ce24fc5ab47f388c54027c8", "input": "Problem: if 20 % of ( x - y ) = 15 % of ( x + y ) , then what percent of x is y ? \nOptions: a ) 50.5 % , b ) 44.4 % , c ) 22.2 % , d ) 14.3 % , e ) 25 %", "output": [ "d" ] }, { "id": "task1420-3849ac96163e47a5b1a91cc48a87f4f6", "input": "Problem: anne earned $ 3 an hour baby - sitting , and $ 4 an hour working in the garden . last week she did baby - sitting for 5 hours and garden work for 3 hours . how much more money does she need to buy a game that costs $ 35 ? \nOptions: a ) $ 8 , b ) $ 12 , c ) $ 6 , d ) $ 21 , e ) $ 10", "output": [ "a" ] }, { "id": "task1420-6aee1acd6dbf4588b02a61f07b33a3ee", "input": "Problem: if a jogger jogs 16 km / hr instead of 12 km / hr , he would have jogged 10 km more . the actual distance he jogged is \nOptions: a ) 50 km , b ) 40 km , c ) 30 km , d ) 20 km , e ) none of these", "output": [ "c" ] }, { "id": "task1420-74fd65e9cb0e4306a55dd9a58eb8b3e9", "input": "Problem: if one positive integer is greater than another positive integer by 4 , and the difference of their cubes is 316 , what is their sum ? \nOptions: a ) 6 , b ) 8 , c ) 10 , d ) 12 , e ) 14", "output": [ "c" ] }, { "id": "task1420-4919cd9e03834bb5bb21f62aa195c592", "input": "Problem: if a person walks at 10 km / hr instead of 5 km / hr , he would have walked 20 km more . the actual distance traveled by him is ? \nOptions: a ) 50 km , b ) 76 km , c ) 20 km , d ) 16 km , e ) 97 km", "output": [ "c" ] }, { "id": "task1420-8793225e677d4b209cb0290c94da7314", "input": "Problem: which number need to add to 172835 to get a number exactly divisible by 136 ? \nOptions: a ) 27 , b ) 25 , c ) 26 , d ) 21 , e ) 24", "output": [ "d" ] }, { "id": "task1420-a0f9f98f3a2b4a209e6d79692b1915d5", "input": "Problem: if [ [ x ] ] = x ^ 2 + 2 x + 4 , what is the value of [ [ 7 ] ] ? \nOptions: a ) 3 , b ) 9 , c ) 15 , d ) 67 , e ) 25", "output": [ "d" ] }, { "id": "task1420-1e4a78e6ebfc47e8a70154d716faa327", "input": "Problem: if 2 x + y = 7 and x + 2 y = 10 , then ( x + y ) / 3 = \nOptions: a ) 1 , b ) 4 / 3 , c ) 17 / 9 , d ) 18 / 5 , e ) 4", "output": [ "c" ] }, { "id": "task1420-f8e45326b5ca4c399399ac079500a42e", "input": "Problem: in the new budget , the price of kerosene oil rose by 25 % . by how much percent must a person reduce his consumption so that his expenditure on it does not increase ? \nOptions: a ) 10 , b ) 20 , c ) 30 , d ) 40 , e ) none of them", "output": [ "b" ] }, { "id": "task1420-ae9679f4518f4c0b9e20e14d70e876ba", "input": "Problem: how many even integers n , such that 20 < = n < = 180 are of the form 3 k + 4 , where k is any natural number ? \nOptions: a ) 24 , b ) 27 , c ) 30 , d ) 33 , e ) 36", "output": [ "b" ] }, { "id": "task1420-6eb53223b1ef49b5a7a6f136d5a49aa3", "input": "Problem: 1257 1275 1527 . . . . . . . . . . . . . . . . + 7521 the addition problem above shows 4 of the 24 different integers that can be formed by using each of the digits 1 , 25 and 7 exactly once in each integer . what is the sum t of the 24 integers ? \nOptions: a ) 26996 , b ) 44406 , c ) 60444 , d ) 66660 , e ) 99990", "output": [ "e" ] }, { "id": "task1420-9cc5b0b0bf9949d3894d440090163016", "input": "Problem: sushil got thrice as many marks in english as in science . his total marks in english , science and maths are 152 . if the ratio of his marks in english and maths is 1 : 5 , find his marks in science ? \nOptions: a ) 8 , b ) 77 , c ) 66 , d ) 55 , e ) 31", "output": [ "a" ] }, { "id": "task1420-693030a2ff2d4b058c2e8a9aaf9aedc9", "input": "Problem: evaluate : 40 - 10 ÷ 2 × 2 = \nOptions: a ) 20 , b ) 25 , c ) 10 , d ) 16 , e ) 30", "output": [ "e" ] }, { "id": "task1420-68baad489f0c4d4284b3571cc6763843", "input": "Problem: the average age of a family of 6 members is 26 years . if the age of the youngest member is 10 years , what was the average age of the family at the birth of the youngest member ? \nOptions: a ) 15 , b ) 18 , c ) 16 , d ) 12 , e ) 19", "output": [ "c" ] }, { "id": "task1420-a2bd4fe98d224dd3a4c787280dacb147", "input": "Problem: 22.085 ã — 0.001 = ? \nOptions: a ) 0.22085 , b ) 2.2085 , c ) 0.022085 , d ) 0.0022085 , e ) none of these", "output": [ "c" ] }, { "id": "task1420-4c4f482a1e904d4b9a1d91f0f7ff7a36", "input": "Problem: a palindrome is a number that reads the same forward and backward , such as 343 . how many odd , 8 - digit numbers are palindromes ? \nOptions: a ) 4000 , b ) 4500 , c ) 5055 , d ) 5000 , e ) 2500", "output": [ "d" ] }, { "id": "task1420-1ee7c5b0a562404684827411ecf0d325", "input": "Problem: david obtained 70 , 60 , 78 , 60 and 65 marks ( out of 100 ) in english , mathematics , physics , chemistry and biology what are his average marks ? \nOptions: a ) 75 , b ) 27.6 , c ) 66.6 , d ) 16.5 , e ) 11", "output": [ "c" ] }, { "id": "task1420-d79f3eaa87434afd9d88e9fdbb397b00", "input": "Problem: find the least number which when divided by 34 and 5 leaves a remainder of 4 in each case . \nOptions: a ) 170 , b ) 172 , c ) 174 , d ) 176 , e ) 178", "output": [ "c" ] }, { "id": "task1420-2550c3f7dfe2426e93e16e012369b45e", "input": "Problem: a person has 100 $ in 10 $ and 5 $ bill . if the 5 $ bill quantity is twice that of 10 $ bill . what is quantity of 10 $ . \nOptions: a ) 2 , b ) 6 , c ) 7 , d ) 8 , e ) 5", "output": [ "e" ] }, { "id": "task1420-fe428df19ad94dfa93f4f8b31fc65932", "input": "Problem: the average of 5 consecutive odd numbers a , b , c , d and e is 13 . what percent of b is c ? \nOptions: a ) 98.2 , b ) 102.8 , c ) 108.2 , d ) 118.2 , e ) 122.8", "output": [ "d" ] }, { "id": "task1420-e79bdca0c7e94cab87ac727b4401ac07", "input": "Problem: find 94 × × 97 \nOptions: a ) 93 / 198 , b ) 93 / 12 , c ) 93 / 18 , d ) 93 / 10 , e ) 93 / 11", "output": [ "c" ] }, { "id": "task1420-8f542bc1a6cb4648b5a803d058acf0db", "input": "Problem: a certain list consists of 21 different numbers . if n is in the list and n is 4 times the average ( arithmetic mean ) of the other 20 numbers in the list , then n is what fraction q of the sum of the 21 numbers in the list ? \nOptions: a ) 1 / 20 , b ) 1 / 6 , c ) 1 / 5 , d ) 4 / 21 , e ) 5 / 21", "output": [ "b" ] }, { "id": "task1420-01c2782ab7fe4e578fb1b31bf4958d9e", "input": "Problem: the sum of ages of 10 children born at the intervals of 1 years each is 105 years . what is the age of the youngest child ? \nOptions: a ) 4 , b ) 5 , c ) 2 , d ) 7 , e ) 6", "output": [ "e" ] }, { "id": "task1420-981a69d6ddfb46ab8041de0f37fd4a73", "input": "Problem: a farmer has an apple orchard consisting of fuji and gala apple trees . due to high winds this year 10 % of his trees cross pollinated . the number of his trees that are pure fuji plus the cross - pollinated ones totals 170 , while 3 / 4 of all his trees are pure fuji . how many of his trees are pure gala ? \nOptions: a ) 30 , b ) 33 , c ) 55 , d ) 77 , e ) 88", "output": [ "a" ] }, { "id": "task1420-97b412a39c5c4fa4bd200be8a7289b75", "input": "Problem: a total of 3000 chocolates were distributed among 120 boys and girls such that each boy received 2 chocolates and each girl received 3 chocolates . find the respective number of boys and girls ? \nOptions: a ) 32 , b ) 60 , c ) 27 , d ) 29 , e ) 21", "output": [ "b" ] }, { "id": "task1420-28ff44db20e54fa9ab5d0e6d541c9c22", "input": "Problem: the price of a certain painting increased by 20 % during the first year and decreased by 15 % during the second year . the price of the painting at the end of the 2 - year period was what percent of the original price ? \nOptions: a ) 102 % , b ) 105 % , c ) 120 % , d ) 135 % , e ) 140 %", "output": [ "a" ] }, { "id": "task1420-0712f0500e97445db3266ed3634c7f81", "input": "Problem: the function f ( n ) is defined as the product of all the consecutive positive integers between 3 and n ^ 2 , inclusive , whereas the function g ( n ) is defined as the product of the squares of all the consecutive positive integers between 1 and n , inclusive . the exponent on 2 in the prime factorization of f ( 3 ) / g ( 3 ) is \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "c" ] }, { "id": "task1420-ecea4de0ca3f445cafbffdc0e8fa534a", "input": "Problem: find the least number of complete years in which a sum of money put out at 33.3 % compound interest will be more than double of itself ? \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "a" ] }, { "id": "task1420-404bc320c83a49e0bce2f363414325da", "input": "Problem: what number is 76 more than one - fourth of itself ? \nOptions: a ) 101 , b ) 225 , c ) 304 , d ) 324 , e ) 336", "output": [ "a" ] }, { "id": "task1420-4c8fe03e133e410b8800213c65ebfc84", "input": "Problem: the simple interest on a sum of money will be rs . 500 after 10 years . if the principal is trebled after 5 years what will be the total interest at the end of the tenth year ? \nOptions: a ) 2261 , b ) 2888 , c ) 1200 , d ) 2699 , e ) 900", "output": [ "e" ] }, { "id": "task1420-67e083b510404788a8cffb70d0bf605f", "input": "Problem: find the total average marks of all the students in 2 separate classes , if the average marks of students in the first class of 39 students is 45 and that of another class of 35 students is 70 . \nOptions: a ) 55.8 , b ) 51.8 , c ) 53.8 , d ) 56.8 , e ) 52.8", "output": [ "d" ] }, { "id": "task1420-b14a7b9a200045548d78b61edc792f39", "input": "Problem: find 103 × × 10 \nOptions: a ) 106 / 19 , b ) 108 / 12 , c ) 108 / 19 , d ) 108 / 15 , e ) 108 / 11", "output": [ "d" ] }, { "id": "task1420-a845170ebcf64c8a80bb7dc8ffc57f0d", "input": "Problem: the average monthly salary of 20 employees in an organisation is rs . 1200 . if the manager ' s salary is added , then the average salary increases by rs . 100 . what is the manager ' s monthly salary ? \nOptions: a ) 3600 , b ) 3890 , c ) 3300 , d ) 2789 , e ) 2891", "output": [ "c" ] }, { "id": "task1420-dcaea3aabb394b528897425fb818c26b", "input": "Problem: find the sum of all 3 digit natural numbers , which are divisible by 8 \nOptions: a ) 61376 , b ) 54411 , c ) 612314 , d ) 64170 , e ) 64171", "output": [ "a" ] }, { "id": "task1420-3c629889007047d591283ecdab977bb8", "input": "Problem: x ^ 2 + sx + 72 = 0 has two distinct integer roots ; how many values are possible for s ? \nOptions: a ) 3 , b ) 6 , c ) 8 , d ) 12 , e ) 24", "output": [ "d" ] }, { "id": "task1420-252b2c6fb93c40b9988f59a0e15a3b5d", "input": "Problem: what is the hcf of 2 / 3 , 4 / 10 and 6 / 5 \nOptions: a ) 7 / 45 , b ) 1 / 15 , c ) 4 / 15 , d ) 8 / 45 , e ) 9 / 45", "output": [ "b" ] }, { "id": "task1420-6009adbeec5948ce8ebf12905a34af52", "input": "Problem: for all positive integers m and v , the expression m θ v represents the remainder when m is divided by v . what is the value of ( ( 94 θ 33 ) θ 17 ) - ( 96 θ ( 33 θ 17 ) ) ? \nOptions: a ) - 10 , b ) - 2 , c ) 8 , d ) 13 , e ) 17", "output": [ "d" ] }, { "id": "task1420-cf3b7ef27d384a7e9af854be0c5d45a0", "input": "Problem: a man is 22 years older than his son . in two years , his age will be twice the age of his son . the present age of his son is : \nOptions: a ) 14 years , b ) 18 years , c ) 20 years , d ) 22 years , e ) 16 years", "output": [ "c" ] }, { "id": "task1420-cddf3d17615a41cd9091a809ad730023", "input": "Problem: find the least number must be added to 228712 so that remaining no . is divisible by 9 ? \nOptions: a ) 5 , b ) 3 , c ) 1 , d ) 6 , e ) 2", "output": [ "a" ] }, { "id": "task1420-3358c8d3ceed44a89b66175e9ac0db6a", "input": "Problem: if grapes are 92 % water and raisins are 20 % water , then how many kilograms did a quantity of raisins , which currently weighs 5 kilograms , weigh when all the raisins were grapes ? ( assume that the only difference between their raisin - weight and their grape - weight is water that evaporated during their transformation . ) \nOptions: a ) 50 , b ) 54 , c ) 55 , d ) 56 , e ) 60", "output": [ "a" ] }, { "id": "task1420-e894a386bda14efbb8c0567c59ae5fee", "input": "Problem: what is the difference between the c . i . on rs . 6000 for 1 1 / 2 years at 4 % per annum compounded yearly and half - yearly ? \nOptions: a ) s . 2.04 , b ) s . 2.08 , c ) s . 2.02 , d ) s . 2.83 , e ) s . 2.45", "output": [ "e" ] }, { "id": "task1420-676204e4fcc24bfdafd8b1f37c9c66ff", "input": "Problem: in a mixture of 45 litres the ratio of milk to water is 4 : 1 . additional 9 litres of water is added to the mixture . find the ratio of milk to water in the resulting mixture . \nOptions: a ) 2 / 1 , b ) 4 / 1 , c ) 2 / 3 , d ) 3 / 4 , e ) 3 / 2", "output": [ "a" ] }, { "id": "task1420-c67108956bb247ed8ff50158f55c8381", "input": "Problem: the compound interest on a sum of money for 2 years is rs . 832 and the simple interest on the same sum for the same period is rs . 800 . the difference between the compound interest and simple interest for 3 years \nOptions: a ) 98.5 , b ) 08.56 , c ) 98.56 , d ) 98.86 , e ) 98.46", "output": [ "c" ] }, { "id": "task1420-394a7249de5f4a80aec5b25a9d030991", "input": "Problem: if equation | x / 2 | + | y / 2 | = 1 encloses a certain region on the coordinate plane , what is the area of this region ? \nOptions: a ) 8 , b ) 50 , c ) 100 , d ) 200 , e ) 400", "output": [ "a" ] }, { "id": "task1420-8ae5b5b934144d7d945a6212061c893a", "input": "Problem: john spends $ 320 buying his favorite dolls . if he buys only small monkey dolls , which are $ 4 cheaper than the large monkey dolls , he could buy 40 more dolls than if he were to buy only large monkey dolls . how much does a large monkey doll cost ? \nOptions: a ) $ 7.2 , b ) $ 7.5 , c ) $ 8 , d ) $ 9 , e ) $ 10", "output": [ "c" ] }, { "id": "task1420-80a9969233aa43c98fbe75815981d5a6", "input": "Problem: if 3 < x < 6 < y < 9 , then what is the greatest possible positive integer difference of x and y ? \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "c" ] }, { "id": "task1420-861a16b968b248a7a422d850542eafbd", "input": "Problem: in a certain game , a large container is filled with red , yellow , green , and blue beads worth , respectively , 7 , 5 , 3 , and 2 points each . a number of beads are then removed from the container . if the product of the point values of the removed beads is 30 , 870000 , how many red beads were removed ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "c" ] }, { "id": "task1420-f67afe18c6004d5aafdc64e9e7c06204", "input": "Problem: a cyclist rides a bicycle 8 km at an average speed of 10 km / hr and again travels 10 km at an average speed of 8 km / hr . what is the average speed for the entire trip ? \nOptions: a ) 9.28 , b ) 8.48 , c ) 8.78 , d ) 8.98 , e ) 9.18", "output": [ "c" ] }, { "id": "task1420-d19761be50c945a1b836029443f68ca7", "input": "Problem: the difference in compound interest earned on a deposit ( compounded annually ) in year 1 and year 2 is $ 40 . had the interest rate been 3 times its present value , the difference w would have been how much ? \nOptions: a ) 40 / 3 , b ) 40 , c ) 120 , d ) 360 , e ) 420", "output": [ "d" ] }, { "id": "task1420-b599351ce2ab4659a0d399d8c558d216", "input": "Problem: a certain number of horses and an equal number of men are going somewhere . half of the owners are on their horses ' back while the remaining ones are walking along leading their horses . if the number of legs walking on the ground is 80 , how many horses are there ? \nOptions: a ) 10 , b ) 12 , c ) 14 , d ) 16 , e ) 18", "output": [ "d" ] }, { "id": "task1420-9a5baf2bbb7049f2ab105aad3faffc8e", "input": "Problem: the two lines y = x and x = - 4 intersect on the coordinate plane . if z represents the area of the figure formed by the intersecting lines and the x - axis , what is the side length e of a cube whose surface area is equal to 6 z ? \nOptions: a ) e = 16 , b ) e = 8 √ 2 , c ) e = 8 , d ) e = 2 √ 2 , e ) ( √ 2 ) / 3", "output": [ "d" ] }, { "id": "task1420-ab812757788248c7981f6238603cc9f4", "input": "Problem: rahul played weel in this season . his current batting averagge is 50 . if he score 78 runs in today match . his batting average will become 54 . how many matches had he played in this season . \nOptions: a ) 8 , b ) 10 , c ) 9 , d ) 6 , e ) 5", "output": [ "d" ] }, { "id": "task1420-1b03577005f24eccaaaf5784402fbe1c", "input": "Problem: a student multiplied a number by 3 / 5 instead of 5 / 3 . what is the percentage error . \nOptions: a ) 64 % , b ) 65 % , c ) 66 % , d ) 67 % , e ) none of these", "output": [ "a" ] }, { "id": "task1420-3fbf93c93ff748018cb002161f13d620", "input": "Problem: in the faculty of reverse - engineering , 226 second year students study numeric methods , 423 second year students study automatic control of airborne vehicles and 134 second year students study them both . how many students are there in the faculty if the second year students are approximately 80 % of the total ? \nOptions: a ) 515 , b ) 545 , c ) 618 . , d ) 644 . , e ) 666", "output": [ "d" ] }, { "id": "task1420-1247cc7b1e2b4ff0a4e7663c3531a744", "input": "Problem: if an integer n is to be selected at random from 1 to 100 , inclusive , what is probability n ( n + 1 ) will be divisible by 8 ? \nOptions: a ) 1 / 4 , b ) 1 / 3 , c ) 1 / 2 , d ) 2 / 3 , e ) 3 / 4", "output": [ "a" ] }, { "id": "task1420-505a4d9e1fba4a888cfc5067a176c4bd", "input": "Problem: an auction house charges a commission of 20 % on the first $ 50,000 of the sale price of an item , plus 10 % on the amount of of the sale price in excess of $ 50,000 . what was the price of a painting for which the house charged a total commission of $ 24,000 ? \nOptions: a ) $ 115,000 , b ) $ 190,000 , c ) $ 215,000 , d ) $ 240,000 , e ) $ 365,000", "output": [ "b" ] }, { "id": "task1420-39216f56fb75446e8bcf2d39314c7f9b", "input": "Problem: a person x started at 3 hours earlier at 40 km / h from a place p , then another person y followed him at 60 km / h . started his journey at 3 o ' clock , afternoon . what is the diference in time when x was 30 km ahead of y and when y was 30 km ahead of x ? \nOptions: a ) 8 h , b ) 3 h , c ) 6 h , d ) 3 h , e ) 1 h", "output": [ "b" ] }, { "id": "task1420-db0de8b240ec4fe594446506e8a768f7", "input": "Problem: in a certain accounting class of 100 students , 70 % of the students took the final exam on the assigned day while the rest of the students took the exam on a make - up date . if the students on the assigned day had an average score of 60 % , and the students on the make - up date had an average score of 90 % , what was the average score for the entire class ? \nOptions: a ) 65 % , b ) 67 % , c ) 69 % , d ) 72 % , e ) 75 %", "output": [ "c" ] }, { "id": "task1420-30634ee6ac9d47a69291b207e877b287", "input": "Problem: 46 x 46 = ? \nOptions: a ) 2500 , b ) 2516 , c ) 1600 , d ) 36 , e ) 2116", "output": [ "e" ] }, { "id": "task1420-7627b2a56f06477192101d925c181a3c", "input": "Problem: what is the dividend . divisor 15 , the quotient is 9 and the remainder is 5 ? \nOptions: a ) a ) 140 , b ) b ) 134 , c ) c ) 148 , d ) d ) 158 , e ) e ) 160", "output": [ "a" ] }, { "id": "task1420-fcbaa41392f2494783b91cff3f02a8c7", "input": "Problem: how many integers between 1 and 10 ^ 16 are such that the sum of their digits is 2 ? \nOptions: a ) 106 , b ) 116 , c ) 126 , d ) 136 , e ) 146", "output": [ "d" ] }, { "id": "task1420-c628cd8623a4485286e5f51030569be4", "input": "Problem: a certain basketball team that has played 2 / 3 of its games has a record of 18 wins and 2 losses . what is the greatest number of the remaining games that the team can lose and still win at least 3 / 4 of all of its games ? \nOptions: a ) 7 , b ) 6 , c ) 5 , d ) 4 , e ) 3", "output": [ "c" ] }, { "id": "task1420-438d37d10da34ca7a8a2c1321c965236", "input": "Problem: bert left the house with n dollars . he spent 1 / 4 of this at the hardware store , then $ 9 at the dry cleaners , and then half of what was left at the grocery store . when he got home , he had $ 12 left in his pocket . what was the value of n ? \nOptions: a ) $ 36 , b ) $ 44 , c ) $ 52 , d ) $ 60 , e ) $ 68", "output": [ "b" ] }, { "id": "task1420-dce60a2f850d48e6994a8fe9348f129f", "input": "Problem: a positive number x is multiplied by 7 , and this product is then divided by 3 . if the positive square root of the result of these two operations equals x , what is the value of x ? \nOptions: a ) 7 / 3 , b ) 3 / 2 , c ) 4 / 3 , d ) 2 / 3 , e ) 1 / 2", "output": [ "a" ] }, { "id": "task1420-7ae1e867093f48e7a3f07b82e0c4a299", "input": "Problem: how many 3 - digit integers between 311 and 401 , exclusive , are divisible by 3 when the tens digit and the hundered digit are switched ? \nOptions: a ) 30 , b ) 19 , c ) 22 , d ) 3 , e ) 90", "output": [ "a" ] }, { "id": "task1420-9cb705db68c64fd29f315289d84c61d7", "input": "Problem: in the faculty of reverse - engineering , 226 second year students study numeric methods , 423 second year students study automatic control of airborne vehicles and 134 second year students study them both . how many students are there in the faculty if the second year students are approximately 85 % of the total ? \nOptions: a ) 515 . , b ) 545 . , c ) 606 . , d ) 644 . , e ) 666 .", "output": [ "c" ] }, { "id": "task1420-d94a97538cbb4668aac23f93d15b9541", "input": "Problem: the telephone company wants to add an area code composed of 2 letters to every phone number . in order to do so , the company chose a special sign language containing 124 different signs . if the company used 122 of the signs fully and two remained unused , how many additional area codes can be created if the company uses all 124 signs ? \nOptions: a ) 246 , b ) 248 , c ) 492 , d ) 15,128 , e ) 30,256", "output": [ "c" ] }, { "id": "task1420-e06dc7e2d7ff4705905405d6a1e0a6cb", "input": "Problem: the average height of 35 boys in a class was calculated as 183 cm . it has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm . find the actual average height of the boys in the class ( round off your answer to two decimal places ? \nOptions: a ) 187.89 cm , b ) 181.29 cm , c ) 123.98 cm , d ) 149.98 cm , e ) 146.89 cm", "output": [ "b" ] }, { "id": "task1420-8a9245c00cbe4d608da267e8c6a71238", "input": "Problem: what is the least common multiple of 15 , 18 , and 34 ? \nOptions: a ) 60 , b ) 120 , c ) 240 , d ) 360 , e ) 1530", "output": [ "e" ] }, { "id": "task1420-7cf738fc84cb45e7bcb0de31f38e08b8", "input": "Problem: how many two - digit numbers that do not contain the digits 1 or 4 are there ? \nOptions: a ) 112 , b ) 56 , c ) 64 , d ) 49 , e ) 84", "output": [ "b" ] }, { "id": "task1420-05c2a2e97e1a4dd7987eb075f568a55b", "input": "Problem: if the sum of the 4 th term and the 12 th term of an arithmetic progression is 10 , what is the sum of the first 15 terms of the progression ? \nOptions: a ) 65 , b ) 75 , c ) 60 , d ) 55 , e ) 50", "output": [ "b" ] }, { "id": "task1420-b99788f335e44b68aef54c7a42a0cd07", "input": "Problem: set a consists of all the prime numbers between 15 and 36 . what is the range of set a ? \nOptions: a ) 12 , b ) 13 , c ) 14 , d ) 17 , e ) 23", "output": [ "c" ] }, { "id": "task1420-39458201ffa44d75833b4b2b052f1dd2", "input": "Problem: find large number from below question the difference of two numbers is 1385 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder \nOptions: a ) 1235 , b ) 1345 , c ) 1678 , d ) 1767 , e ) 1659", "output": [ "e" ] }, { "id": "task1420-2d4d1a15107e470885f18fcd4e0b716a", "input": "Problem: if x ⁄ 2 + 9 ⁄ 4 = 5 ⁄ 4 , what is the value of x ? \nOptions: a ) – 2 , b ) – 1 , c ) 0 , d ) 1 , e ) 2", "output": [ "a" ] }, { "id": "task1420-4f2dbe8a49b146c2856970c30438c8a7", "input": "Problem: bill made a profit of 10 % by selling a product . if he had purchased that product for 10 % less and sold it at a profit of 30 % , he would have received $ 70 more . what was his original selling price ? \nOptions: a ) $ 770 , b ) $ 660 , c ) $ 700 , d ) $ 1100 , e ) $ 840", "output": [ "d" ] }, { "id": "task1420-53631efcae584b90b5c15d5324de03e0", "input": "Problem: 5 years ago , the average age of a , b , c and d was 45 years . with e joining them now , the average of all the 5 is 50 years . the age of e is ? \nOptions: a ) 50 , b ) 47 , c ) 48 , d ) 49 , e ) 46", "output": [ "a" ] }, { "id": "task1420-d863e89de2d7464eb7c06de2a8368d4e", "input": "Problem: a number divided by 24 leaves remainder 56 what is the remainder when same number divided by 7 \nOptions: a ) 9 , b ) 7 , c ) 5 , d ) 3 , e ) 1", "output": [ "d" ] }, { "id": "task1420-9b5d7955c8014271af55e9b38b18ce3d", "input": "Problem: a ferry can transport 50 tons of vehicles . automobiles range in weight from 1600 to 3200 pounds . what is the greatest number of automobiles that can be loaded onto the ferry ? \nOptions: a ) 23 , b ) 41 , c ) 48 , d ) 62 , e ) 86", "output": [ "d" ] }, { "id": "task1420-bb4614053efe44748034a2610e34028d", "input": "Problem: if there are half as many women as men in a group and an equal number of men and women do not own cars - a group that is 30 % of the total . what fraction of the total is men who own cars ? \nOptions: a ) 3 ⁄ 20 , b ) 31 ⁄ 60 , c ) 9 ⁄ 40 , d ) 1 ⁄ 3 , e ) 11 ⁄ 20", "output": [ "b" ] }, { "id": "task1420-6c758a2fa6de4edbafeb37da2d8b8de4", "input": "Problem: find the sum lend at c . i . at 5 p . c per annum will amount to rs . 341 in 2 years ? \nOptions: a ) 221 , b ) 309 , c ) 400 , d ) 288 , e ) 171", "output": [ "b" ] }, { "id": "task1420-6fc833f56c204633815a92461a73c486", "input": "Problem: in the number 11,0 ab , a and b represent the tens and units digits , respectively . if 11,0 ab is divisible by 50 , what is the greatest possible value of b × a ? \nOptions: a ) 0 , b ) 5 , c ) 20 , d ) 15 , e ) 25", "output": [ "c" ] }, { "id": "task1420-af0e124f38a147a1b479281e45f20364", "input": "Problem: if 213 × 16 = 3408 , then 0.016 × 2.13 is equal to : \nOptions: a ) 0.3408 , b ) 3.408 , c ) 34.08 , d ) 340.8 , e ) 0.03408", "output": [ "e" ] }, { "id": "task1420-5590313e4eba4467828ca581f4f0b3b4", "input": "Problem: on a game show , a contestant is given 3 keys , each of which opens exactly one of 3 identical boxes . the first box contains $ 5 , the second $ 500 , and the third $ 5000 . the contestant assigns each key to one of the boxes and wins the amount of money contained in any box that is opened by the key assigned to it . what is the probability that a contestant will win more than $ 5000 ? \nOptions: a ) 1 / 9 , b ) 4 / 6 , c ) 3 / 6 , d ) 1 / 2 , e ) 1 / 6", "output": [ "e" ] }, { "id": "task1420-96ffc80c25394c1fad212f89b45a3cda", "input": "Problem: the price of a bushel of corn is currently $ 3.20 , and the price of a peck of wheat is $ 8.80 . the price of corn is increasing at a constant rate of 5 x cents per day while the price of wheat is decreasing at a constant rate of x ( 2 ^ 1 / 2 ) - x cents per day . what is the approximate price when a bushel of corn costs the same amount as a peck of wheat ? \nOptions: a ) $ 8.40 , b ) $ 5.10 , c ) $ 5.30 , d ) $ 5.50 , e ) $ 5.60", "output": [ "a" ] }, { "id": "task1420-e538826248814bd99ea23489278f9d9a", "input": "Problem: if 30 % of a number is equal to one - third of another number , what is the ratio of first number to the second number ? \nOptions: a ) 2 : 5 , b ) 3 : 7 , c ) 10 : 9 , d ) 7 : 3 , e ) none of these", "output": [ "c" ] }, { "id": "task1420-d73826bda9f84f219e561d881c64fe7b", "input": "Problem: a man is 37 years older than his son . in two years , his age will be twice the age of his son . the present age of this son is \nOptions: a ) 78 years , b ) 22 years , c ) 88 years , d ) 35 years , e ) 65 years", "output": [ "d" ] }, { "id": "task1420-21989f667fe14d99960c17baa095a098", "input": "Problem: the average of first 5 multiples of 5 is \nOptions: a ) 3 , b ) 6 , c ) 9 , d ) 12 , e ) 15", "output": [ "e" ] }, { "id": "task1420-13a1b640597e4ff796a84f5911f8c8d3", "input": "Problem: mike took a taxi to the airport and paid $ 2.50 to start plus $ 0.25 per mile . annie took a different route to the airport and paid $ 2.50 plus $ 5.00 in bridge toll fees plus $ 0.25 per mile . if each was charged exactly the same amount , and annie ' s ride was 14 miles , how many miles was mike ' s ride ? \nOptions: a ) 28 , b ) 30 , c ) 32 , d ) 34 , e ) 36", "output": [ "d" ] }, { "id": "task1420-5f27f3f34286430498451a3b314b9eab", "input": "Problem: how many of the integers between 25 and 45 are even ? \nOptions: a ) 21 , b ) 20 , c ) 11 , d ) 10 , e ) 9", "output": [ "d" ] }, { "id": "task1420-84b8819a2cfb4b7c822fae86eb1010a8", "input": "Problem: a , b , c and d enter into partnership . a subscribes 1 / 3 of the capital b 1 / 4 , c 1 / 5 and d the rest . how much share did c get in a profit of rs . 2490 ? \nOptions: a ) s . 332 , b ) s . 498 , c ) s . 822 , d ) s . 812 , e ) s . 810", "output": [ "b" ] }, { "id": "task1420-0487326ba62f4099b0df4fa015d63830", "input": "Problem: having scored 97 runs in the 19 th inning , a cricketer increases his average score by 4 . what will be his average score after 19 innings ? \nOptions: a ) 28 , b ) 27 , c ) 26 , d ) 22 , e ) 25", "output": [ "e" ] }, { "id": "task1420-cb10546c9f804b2a95e45717f2893d55", "input": "Problem: the value of x + x ( xx ) when x = 7 \nOptions: a ) a ) 350 , b ) b ) 346 , c ) c ) 358 , d ) d ) 336 , e ) e ) 364", "output": [ "a" ] }, { "id": "task1420-78aa7c5619df4331a0475616b6abffcf", "input": "Problem: a , b and c have rs . 450 between them , a and c together have rs . 200 and b and c rs . 350 . how much does c have ? \nOptions: a ) a ) 100 , b ) b ) 110 , c ) c ) 120 , d ) d ) 130 , e ) e ) 140", "output": [ "a" ] }, { "id": "task1420-cde5990f09754a24b65031c563bfee9f", "input": "Problem: the average age of 37 students in a group is 14 years . when teacher ' s age is included to it , the average increases by one . what is the teacher ' s age in years ? \nOptions: a ) 35 years , b ) 45 years , c ) 51 years , d ) 52 years , e ) none of these", "output": [ "d" ] }, { "id": "task1420-6e61ca419d6f45b99dd23eaa2faa93b6", "input": "Problem: if 2 ^ 2 n + 2 ^ 2 n + 2 ^ 2 n + 2 ^ 2 n = 4 ^ 18 , then n = \nOptions: a ) 3 , b ) 6 , c ) 17 , d ) 23 , e ) 24", "output": [ "c" ] }, { "id": "task1420-c5ed844dc35b4b0c9cdcc597c163dc05", "input": "Problem: a container contains 40 liters of milk , from this container 4 liters of milk was taken out and replaced by water . this process was repeated further 2 times . how much milk is now contained by the container ? \nOptions: a ) 25.5 liters , b ) 29.16 liters , c ) 30.98 liters , d ) 42.15 liters , e ) 48.32 liters", "output": [ "b" ] }, { "id": "task1420-a4c54776d43a43e4bae78aeebea68557", "input": "Problem: if t = 5 / 9 * ( k - 32 ) , and if t = 105 , then what is the value of k ? \nOptions: a ) 209 , b ) 212 , c ) 215 , d ) 218 , e ) 221", "output": [ "e" ] }, { "id": "task1420-33c058cfb87f4744ab5da09979ab95fa", "input": "Problem: if 4 xz + yw = 4 and xw + yz = 8 , what is the value of the expression ( 2 x + y ) ( 2 z + w ) ? \nOptions: a ) 22 , b ) 20 , c ) 24 , d ) 26 , e ) 28", "output": [ "b" ] }, { "id": "task1420-3c69c54f6b4c47a9a832f5862ed39d7f", "input": "Problem: 495 x 495 = ? \nOptions: a ) 250000 , b ) 250025 , c ) 5000 , d ) 245025 , e ) 240000", "output": [ "d" ] }, { "id": "task1420-f2f8c5a1554f4acbb1d737b739eade19", "input": "Problem: at company x , senior sales representatives visit the home office once every 16 days , and junior sales representatives visit the home office once every 12 days . the number of visits that a junior sales representative makes in a 2 - year period is approximately what percent greater than the number of visits that a senior representative makes in the same period ? \nOptions: a ) 10 % , b ) 25 % , c ) 33 % , d ) 50 % , e ) 67 %", "output": [ "c" ] }, { "id": "task1420-b6ef97d3bb1942aa8aa53ca2d285e6f4", "input": "Problem: a store owner estimates that the average price of type a products will increase by 20 % next year and that the price of type b products will increase by 11 % next year . this year , the total amount paid for type a products was $ 3500 and the total price paid for type b products was $ 8600 . according to the store owner ' s estimate , and assuming the number of products purchased next year remains the same as that of this year , how much will be spent for both products next year ? \nOptions: a ) $ 13,746 , b ) $ 15,325 , c ) $ 16,000 , d ) $ 16,225 , e ) $ 17,155", "output": [ "a" ] }, { "id": "task1420-c016ab1dae284f19a8b226cafdb42b17", "input": "Problem: in an examination , 25 % of total students failed in hindi , 50 % failed in english and 25 % in both . the percentage of these who passed in both the subjects is : \nOptions: a ) 23 , b ) 37 , c ) 28 , d ) 40 , e ) 50", "output": [ "e" ] }, { "id": "task1420-958d44691ddc48728154f30a2c71cd4f", "input": "Problem: how many positive integers less than 200 are there such that they are multiples of 13 or multiples of 14 ? \nOptions: a ) 25 , b ) 26 , c ) 27 , d ) 28 , e ) 29", "output": [ "d" ] }, { "id": "task1420-85a75f5a2fac4821b9a39a3b1e56a525", "input": "Problem: a girl was asked to multiply a certain number by 43 . she multiplied it by 34 and got his answer less than the correct one by 1242 . find the number to be multiplied . \nOptions: a ) 130 , b ) 132 , c ) 134 , d ) 136 , e ) 138", "output": [ "e" ] }, { "id": "task1420-c4ed6b42589d4debaebeed7b7091a3d7", "input": "Problem: find the greatest number which leaves the same remainder when it divides 21 , 57 and 105 . \nOptions: a ) 18 , b ) 8 , c ) 12 , d ) 16 , e ) none of these", "output": [ "c" ] }, { "id": "task1420-bbb85fc4f9c14e8283c8fd186f26f6f1", "input": "Problem: a high school has 400 students 1 / 2 attend the airthmetic club , 5 / 8 attend the biology club and 3 / 4 attend the chemistry club . 1 / 8 attend all 3 clubs . if every student attends at least one club how many students attend exactly 2 clubs . \nOptions: a ) 300 , b ) 200 , c ) 250 , d ) 150 , e ) 160", "output": [ "c" ] }, { "id": "task1420-323788ba500e466b925a474f86872b34", "input": "Problem: a batsman in his 17 th innings makes a score of 80 , and thereby increases his average by 2 . what is his average after the 17 th innings ? he had never been ’ not out ’ . \nOptions: a ) 48 , b ) 37 , c ) 39 , d ) 43 , e ) 42", "output": [ "a" ] }, { "id": "task1420-163f5f7bb285447eaeaff1552e3eff20", "input": "Problem: in a certain supermarket , a triangular display of cans is arranged in 10 rows , numbered 1 through 10 from top to bottom . each successively numbered row contains 3 more cans than the row immediately above it . if there are fewer than 150 cans in the entire display , how many cans are in the sixth row ? \nOptions: a ) 14 , b ) 16 , c ) 18 , d ) 20 , e ) 22", "output": [ "b" ] }, { "id": "task1420-a315234402f5451c9cb3003bf88ad8bf", "input": "Problem: the product z of two prime numbers is between 20 and 56 . if one of the prime numbers is greater than 2 but less than 6 and the other is greater than 14 but less than 30 then what is z ? \nOptions: a ) 26 , b ) 35 , c ) 39 , d ) 51 , e ) 55", "output": [ "d" ] }, { "id": "task1420-a3118e209ff94ea0ac34adefa683c4dc", "input": "Problem: how many integers from 10 to 180 , inclusive , are divisible by 3 but not divisible by 7 ? \nOptions: a ) 45 , b ) 49 , c ) 50 , d ) 52 , e ) 56", "output": [ "b" ] }, { "id": "task1420-f36060e768bf4b3882f434694957b8b6", "input": "Problem: find 3486 / 189 \nOptions: a ) 18.44 , b ) 18.48 , c ) 18.42 , d ) 18.49 , e ) 18.41", "output": [ "a" ] }, { "id": "task1420-fdd82e829cbf40598e9271feeb8a4d7f", "input": "Problem: if a person walks at 12 km / hr instead of 10 km / hr , he would have walked 20 km more . the actual distance traveled by him is : \nOptions: a ) 50 km , b ) 100 km , c ) 60 km , d ) 70 km , e ) 80 km", "output": [ "b" ] }, { "id": "task1420-36d9c0d836f0408b98df182540c191db", "input": "Problem: n ^ ( n / 2 ) = 6 is true when n = 6 in the same way what is the value of n if n ^ ( n / 2 ) = 9 ? \nOptions: a ) 16 , b ) 14 , c ) 18 , d ) 6 , e ) 9", "output": [ "e" ] }, { "id": "task1420-8338fcec9d6440da9dd13b1941affe29", "input": "Problem: village x has a population of 76000 , which is decreasing at the rate of 1200 per year . village y has a population of 42000 , which is increasing at the rate of 800 per year . in how many years will the population of the two villages be equal ? \nOptions: a ) 15 , b ) 17 , c ) 11 , d ) 18 , e ) 13", "output": [ "b" ] }, { "id": "task1420-804757255d1041fd8547cd03a1b9a96a", "input": "Problem: x is a positive integer less than 100 . when x is divided by 7 , the remainder is 1 ; when x is divided by 3 , the remainder is 2 . how many x are there ? \nOptions: a ) 14 , b ) 22 , c ) 23 , d ) 24 , e ) 25", "output": [ "a" ] }, { "id": "task1420-f5f17815224444d7ac646b26072aa757", "input": "Problem: the average of first 25 prime numbers is ? \nOptions: a ) 9.9 , b ) 8.8 , c ) 5.6 , d ) 11.9 , e ) 11.11", "output": [ "e" ] }, { "id": "task1420-3623e181cb7b4bc2b9b9e2662927987b", "input": "Problem: john bought a total of 24 mangoes and oranges . each mango costs 80 cents and each orange costs 60 cents . if the average price of the 24 mangoes and oranges that john originally purchased was 65 cents , then how many oranges needs to return to raise the average price of his purchase to 72 cents ? \nOptions: a ) 4 , b ) 5 , c ) 6 , d ) 7 , e ) 14", "output": [ "e" ] }, { "id": "task1420-28586cee63dc4380b9c331f0854cc371", "input": "Problem: if 45 - [ 28 - { 37 - ( 15 - * ) } ] = 58 , then * is equal to : \nOptions: a ) - 29 , b ) - 19 , c ) 19 , d ) 29 , e ) 39", "output": [ "c" ] }, { "id": "task1420-f7231e25af9346aba9a59667673528c4", "input": "Problem: there are 11 teams in a soccer league and each team plays each of the other teams once . how many games will be played in total ? \nOptions: a ) 40 , b ) 45 , c ) 50 , d ) 55 , e ) 60", "output": [ "d" ] }, { "id": "task1420-632cd5919dcf4fc085eaee5de0d621e4", "input": "Problem: if x and y are integers such that | y + 3 | ≤ 3 and 2 y – 3 x + 6 = 0 , what is the least possible value w of the product xy ? \nOptions: a ) - 12 , b ) - 3 , c ) 0 , d ) 2 , e ) none of the above", "output": [ "c" ] }, { "id": "task1420-c673098869fa4769ad053e23831b75c8", "input": "Problem: the ratio of a to b is 4 to 5 , where a and b are positive . if x equals a increased by 25 percent of a , and m equals b decreased by 20 percent of b , what is the value of m / x ? \nOptions: a ) 2 / 5 , b ) 3 / 4 , c ) 4 / 5 , d ) 5 / 4 , e ) 3 / 2", "output": [ "c" ] }, { "id": "task1420-c101f416d3c04bbf94a7560ca1ba3cbd", "input": "Problem: average weight of 10 people increased by 3 kg when one person of 45 kg is replaced by a new man . then weight of the new man is \nOptions: a ) 50 , b ) 55 , c ) 60 , d ) 65 , e ) 75", "output": [ "e" ] }, { "id": "task1420-ebf9268c2a454f9c86660b195fb06d1c", "input": "Problem: a room is 7 meters 20 centimeters in length and 4 meters 32 centimeters in width . find the least number of square tiles of equal size required to cover the entire floor of the room . \nOptions: a ) 10 , b ) 15 , c ) 17 , d ) 19 , e ) 21", "output": [ "b" ] }, { "id": "task1420-25584826ecd243db9e9c348929d7c6ff", "input": "Problem: the sum of the ages of 5 children born at the intervals of 3 years each is 80 years . what is the age of the youngest child ? \nOptions: a ) 2 years , b ) 4 years , c ) 6 years , d ) 8 years , e ) 10 years", "output": [ "e" ] }, { "id": "task1420-975a30ec1b3f41fea7473ab1c81b1a33", "input": "Problem: bert left the house with n dollars . he spent 1 / 4 of this at the hardware store , then $ 9 at the dry cleaners , and then half of what was left at the grocery store . when he got home , he had $ 15 left in his pocket . what was the value of n ? \nOptions: a ) $ 36 , b ) $ 44 , c ) $ 52 , d ) $ 60 , e ) $ 68", "output": [ "c" ] }, { "id": "task1420-e7d3c5e9bbdd49818e4b14c2990d7569", "input": "Problem: x and y are positive integers . when x is divided by 12 , the remainder is 5 , and when x is divided by 13 , the remainder is 3 . when y is divided by 14 , the remainder is 5 , and when y is divided by 7 , the remainder is 5 . what is the least possible value of x + y ? \nOptions: a ) 24 , b ) 12 , c ) 64 , d ) 48 , e ) 25", "output": [ "d" ] }, { "id": "task1420-460532497c834b259cf730c853546f0b", "input": "Problem: calculate the sum of first 39 natural numbers . \nOptions: a ) 780 , b ) 891 , c ) 812 , d ) 847 , e ) 890", "output": [ "a" ] }, { "id": "task1420-9fe1b27182e243c6a5347193bff37491", "input": "Problem: of 61 players on a cricket team , 37 are throwers . the rest of the team is divided so one third are left - handed and the rest are right handed . assuming that all throwers are right handed , how many right - handed players are there total ? \nOptions: a ) 53 , b ) 55 , c ) 59 , d ) 71 , e ) 92", "output": [ "a" ] }, { "id": "task1420-ae7805806ffb4d76a614e2d69a2372bf", "input": "Problem: the milk level in a rectangular box measuring 60 feet by 25 feet is to be lowered by 6 inches . how many gallons of milk must be removed ? ( 1 cu ft = 7.5 gallons ) \nOptions: a ) 100 , b ) 250 , c ) 750 , d ) 5625 , e ) 5635", "output": [ "d" ] }, { "id": "task1420-39571454d19d4f20814c0fa716c3b079", "input": "Problem: 49 , 98 , 686 , 1372 . . . . \nOptions: a ) 9052 , b ) 8711 , c ) 9279 , d ) 9604 , e ) 9086", "output": [ "d" ] }, { "id": "task1420-5832569c42d24693869902f1bc1e019d", "input": "Problem: if 6 - 12 / x = 7 - 7 / x , then x = \nOptions: a ) - 5 , b ) 19 , c ) - 7 / 5 , d ) 1 , e ) 5 / 6", "output": [ "a" ] }, { "id": "task1420-5cb6c71538bd400189995a5eb0ab69cf", "input": "Problem: if the price of a certain computer increased 30 percent from d dollars to 351 dollars , then 3 d = \nOptions: a ) 540 , b ) 570 , c ) 619 , d ) 649 , e ) 710", "output": [ "e" ] }, { "id": "task1420-047e703483e34a88ab36345659087cdb", "input": "Problem: in an election only two candidates contested 20 % of the voters did not vote and 120 votes were declared as invalid . the winner got 200 votes more than his opponent thus he secured 41 % votes of the total voters on the voter list . percentage votes of the defeated candidate out of the total votes casted is : \nOptions: a ) 22 , b ) 389 , c ) 38 , d ) 45 , e ) 01", "output": [ "d" ] }, { "id": "task1420-9be2a9faf4df4cd0941b4ee26d24661c", "input": "Problem: john has $ 1,200 at the beginning of his trip , after spending money , he still has exactly $ 800 less than he spent on the trip . how much money does john still have ? \nOptions: a ) $ 200 , b ) $ 400 , c ) $ 600 , d ) $ 800 , e ) $ 1,200", "output": [ "a" ] }, { "id": "task1420-e7f0685cb18d4f3ba41fb463b2b9c12f", "input": "Problem: what is the remainder when 8 ^ 381 is divided by 5 ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4", "output": [ "d" ] }, { "id": "task1420-4098d34cca0e4f2e944164563255eeba", "input": "Problem: mid intended to type a 7 - digit number , but the two 3 ' s he meant to type did not appear . what appeared instead was the 5 - digit number 52115 . how many different 7 - digit numbers could mid have meant to type ? \nOptions: a ) 10 , b ) 16 , c ) 21 , d ) 24 , e ) 27", "output": [ "c" ] }, { "id": "task1420-830b3a084f41414c9c3efc7f52fc99eb", "input": "Problem: if pintu is coded as 79523 in a certain code language , how would you code lumbo in the same language ? \nOptions: a ) 13426 , b ) 14236 , c ) 13436 , d ) 33426 , e ) 15263", "output": [ "d" ] }, { "id": "task1420-1a2ee1e529914b298ac3674449006035", "input": "Problem: in a simultaneous throw of pair of dice . find the probability of getting the total more than 7 \nOptions: a ) 5 / 7 , b ) 4 / 7 , c ) 5 / 12 , d ) 4 / 7 , e ) 1 / 6", "output": [ "c" ] }, { "id": "task1420-296c4b6703234d778bfc367d3156ade3", "input": "Problem: the average marks of a class of 30 students is 40 and that of another class of 50 students is 60 . find the average marks of all the students ? \nOptions: a ) 82.5 , b ) 52.9 , c ) 52.2 , d ) 52.5 , e ) 52.7", "output": [ "d" ] }, { "id": "task1420-e4e8817c25f94bd3b0d395d0004db07a", "input": "Problem: right now , al and eliot have bank accounts , and al has more money than eliot . the difference between their two accounts is 1 / 12 of the sum of their two accounts . if al ’ s account were to increase by 10 % and eliot ’ s account were to increase by 20 % , then al would have exactly $ 20 more than eliot in his account . how much money does eliot have in his account right now ? \nOptions: a ) $ 110 , b ) $ 120 , c ) $ 180 , d ) $ 200 , e ) $ 260", "output": [ "d" ] }, { "id": "task1420-7fedcb8fc7274bf0a83eb46516d8ccc7", "input": "Problem: what is the difference between the place value and the face value of 7 in the numeral 297832 ? \nOptions: a ) none of these , b ) 5993 , c ) 994 , d ) 5994 , e ) 995", "output": [ "b" ] }, { "id": "task1420-432014321f874b21b8313114f77c2c1b", "input": "Problem: there are 40 balls which are red , blue or green . if 15 balls are green and the sum of red balls and green balls is less than 25 , at most how many red balls are there ? \nOptions: a ) 4 , b ) 5 , c ) 6 , d ) 7 , e ) 9", "output": [ "e" ] }, { "id": "task1420-985e340af41f4c4880675d3ea3515bef", "input": "Problem: lilly has 10 fish and rosy has 12 fish . in total , how many fish do they have in all ? \nOptions: a ) 18 , b ) 20 , c ) 22 , d ) 24 , e ) 26", "output": [ "c" ] }, { "id": "task1420-7e791697b6654c02a4760d3b25aa08bd", "input": "Problem: nails and screws are manufactured at a uniform weight per nail and a uniform weight per screw . if the total weight of one screw and one nail is half that of 6 screws and one nail , then the total weight of 3 screws , and 3 nails is how many times that of 4 screws and 2 nails ? \nOptions: a ) 4 , b ) 5 / 2 , c ) 2 , d ) 3 / 2 , e ) 5 / 4", "output": [ "e" ] }, { "id": "task1420-43938e3cb79a433d90f3fe03874cd921", "input": "Problem: if a and b are positive numbers , and a ^ 3 + b ^ 3 = 30 , then the greatest possible value of a is between : \nOptions: a ) 0 and 3 , b ) 3 and 4 , c ) 4 and 5 , d ) 5 and 7 , e ) 7 and 9", "output": [ "b" ] }, { "id": "task1420-7053f26fcd8248f8b7cda832dad5f78a", "input": "Problem: if money is invested at r percent interest , compounded annually , the amount of the investment will double in approximately 50 / r years . if luke ' s parents invested $ 12,500 in a long term bond that pays 12 percent interest compounded annually , what will be the approximate total amount of the investment 12 years later , when luke is ready for college ? \nOptions: a ) 62,000 , b ) 85,500 , c ) 95,500 , d ) 100,500 , e ) 100,000", "output": [ "a" ] }, { "id": "task1420-f87e687b1c1a43f08dbc93df5a34f092", "input": "Problem: 10 stickers numbered 1 to 10 are placed in a bowl , mixed up thoroughly and then one sticker is drawn randomly . if it is known that the number on the drawn sticker is more than 3 , what is the probability that it is an even number ? \nOptions: a ) 3 / 7 , b ) 4 / 7 , c ) 5 / 7 , d ) 7 / 11 , e ) 9 / 11", "output": [ "b" ] }, { "id": "task1420-4e0a3940f5fd438ba839852f76fa04e1", "input": "Problem: on july 1 of last year , total employees at company e was decreased by 10 percent . without any change in the salaries of the remaining employees , the average ( arithmetic mean ) employee salary was 10 percent more after the decrease in the number of employees than before the decrease . the total of the combined salaries of all the employees at company e after july 1 last year was what percent t of thatbeforejuly 1 last year ? \nOptions: a ) 90 % , b ) 99 % , c ) 100 % , d ) 101 % , e ) 110 %", "output": [ "b" ] }, { "id": "task1420-556f6cf26b444bae99b66216385c30a9", "input": "Problem: john is 3 times as old as sam . if john will be twice as old as sam in 9 years , how old was sam two years ago ? \nOptions: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 7", "output": [ "e" ] }, { "id": "task1420-14ae772ad5a44f7e82c098e767565202", "input": "Problem: if the mean of numbers 28 , x , 42 , 78 and 104 is 62 , then what is the mean of 128 , 255 , 280 , 511 , 1023 and x ? \nOptions: a ) 395 , b ) 375.8 , c ) 355 , d ) 415 , e ) 365", "output": [ "b" ] }, { "id": "task1420-fcca87fea46a4e88b6630625190ca472", "input": "Problem: find the number of factors of 180 that are in the form ( 4 * k + 2 ) , where k is a non - negative integer ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 6", "output": [ "e" ] }, { "id": "task1420-bfb40f8a805e45b2b513c112ceee5a04", "input": "Problem: a certain shade of gray paint is obtained by mixing 3 parts of white paint with 5 parts of black paint . if 2 gallons of the mixture is needed and the individual colors can be purchased only in one gallon or half gallon cans , what is the least amount of paint t , in gallons , that must be purchased in order to measure out the portions needed for the mixture ? \nOptions: a ) 2 , b ) 2 1 / 2 , c ) 3 , d ) 3 1 / 2 , e ) 4", "output": [ "b" ] }, { "id": "task1420-612105e8580741eab94b2130de8e46e3", "input": "Problem: if the average of 9 digits is 18 and the average of 4 of them is 8 , calculate the average of the remaining 5 numbers ? \nOptions: a ) 21 , b ) 26 , c ) 27 , d ) 22 , e ) 29", "output": [ "b" ] }, { "id": "task1420-8e86e7f589a44e608a8bd9c9757408bf", "input": "Problem: in 1950 , richard was 4 times as old as robert . in 1955 , richard was 3 times as old as robert . in which year was richard 1.3 times as old as robert ? \nOptions: a ) 1960 , b ) 1965 , c ) 1970 , d ) 1975 , e ) 2040", "output": [ "e" ] }, { "id": "task1420-def0a64ba6d2462badfb709dc8242f7a", "input": "Problem: if a ' s salary is 20 % less than b ' s salary , by how much percent is b ' s salary more than a ' s ? \nOptions: a ) 5 % , b ) 10 % , c ) 15 % , d ) 25 % , e ) none", "output": [ "d" ] }, { "id": "task1420-cf77e4237a714ad59e21401a68c05e53", "input": "Problem: the sum of present age of abe and the age before 7 years is 33 . find the present age of abe . what will be his age after 7 years ? \nOptions: a ) 25 , b ) 26 , c ) 27 , d ) 28 , e ) 29", "output": [ "c" ] }, { "id": "task1420-18668b3f136c4fc0a68635cf2cac5eed", "input": "Problem: in a fuel station the service costs $ 1.75 per car , every liter of fuel costs 0.65 $ . assuming that a company owns 12 cars and that every fuel tank contains 50 liters and they are all empty , how much money total will it cost to fuel all cars ? \nOptions: a ) 320 $ , b ) 380 $ , c ) 420 $ , d ) 450 $ , e ) 411 $", "output": [ "e" ] }, { "id": "task1420-9f46a7168c254cafae48ad9cfb4f13c3", "input": "Problem: among all sales staff at listco corporation , college graduates and those without college degrees are equally represented . each sales staff member is either a level - 1 or level - 2 employee . level - 1 college graduates account for 15 % of listco ' s sales staff . listco employs 90 level - 1 employees , 30 of whom are college graduates . how many sales staff members without college degrees are level - 2 employees ? \nOptions: a ) 46 , b ) 42 , c ) 56 , d ) 32 , e ) 40", "output": [ "e" ] }, { "id": "task1420-b99aebaa45e24f479183dc0dbb502718", "input": "Problem: if a / b = 1 / 3 , b / c = 2 , c / d = 1 / 2 , d / e = 3 and e / f = 1 / 2 , then what is the value of abc / def ? \nOptions: a ) 27 / 4 , b ) 27 / 8 , c ) 3 / 4 , d ) 3 / 8 , e ) 1 / 4", "output": [ "c" ] }, { "id": "task1420-a7dd2a5e38fc4121a36a41a2f958450b", "input": "Problem: 62467 × 9998 = ? \nOptions: a ) 624545037 , b ) 627745452 , c ) 624545077 , d ) 624545066 , e ) 625454211", "output": [ "d" ] }, { "id": "task1420-d96b8b6ba3f64db1b50903fc327da1cc", "input": "Problem: find the average of all prime numbers between 12 and 24 . \nOptions: a ) 30 , b ) 33.6 , c ) 18 , d ) 20 , e ) none", "output": [ "c" ] }, { "id": "task1420-44277554022b49dfbbc57712f89fd45e", "input": "Problem: rs . 1210 were divided among 3 person p , q , r so that p : q = 5 : 4 and q : r = 9 : 10 . then r gets the amount ? \nOptions: a ) rs . 300 , b ) rs . 400 , c ) rs . 480 , d ) rs . 500 , e ) rs . 520", "output": [ "b" ] }, { "id": "task1420-f19aa43a98c44261a5dba7d44a027835", "input": "Problem: a bowl of nuts is prepared for a party . brand p mixed nuts are 20 % almonds and brand q ' s deluxe nuts are 25 % almonds . if a bowl contains a total of 64 ounces of nuts , representing a mixture of both brands , and 14 ounces of the mixture are almonds , how many ounces of brand q ' s deluxe mixed nuts are used ? \nOptions: a ) 14 , b ) 20 , c ) 32 , d ) 44 , e ) 48", "output": [ "a" ] }, { "id": "task1420-4229eb50130d468a8258ca0c2aee1a25", "input": "Problem: 3 , 7,12 , 18,25 . . . . . . . . . . . . . . 9 th terms \nOptions: a ) 43 , b ) 53 , c ) 63 , d ) 65 , e ) 78", "output": [ "c" ] }, { "id": "task1420-f366fbd907bd48229e44b0dbdf7266ad", "input": "Problem: find the ones digit of 73 ^ 330 \nOptions: a ) 3 , b ) 5 , c ) 6 , d ) 7 , e ) 9", "output": [ "b" ] }, { "id": "task1420-0739ce5284fb4527af9f3a65d0301a36", "input": "Problem: exactly 3 / 7 of the people in the room are under the age of 21 , and exactly 5 / 14 of the people in the room are over the age of 65 . if the total number of the people in the room is greater than 50 and less than 100 , how many people in the room are under the age of 21 ? \nOptions: a ) 21 , b ) 35 , c ) 39 , d ) 42 , e ) 65", "output": [ "d" ] }, { "id": "task1420-4a518408deeb45a3a3c146f8bb089d70", "input": "Problem: ashok secured average of 74 marks in 6 subjects . if the average of marks in 5 subjects is 74 , how many marks did he secure in the 6 th subject ? \nOptions: a ) 66 , b ) 74 , c ) 78 , d ) 80 , e ) none of these", "output": [ "b" ] }, { "id": "task1420-428054998b91425f8a6a08774673b461", "input": "Problem: what is the least number . which should be added to 0.0355 to make it a perfect square ? \nOptions: a ) 0.0005 , b ) 0.0016 , c ) 0.0056 , d ) 0.0066 , e ) 0.0006", "output": [ "e" ] }, { "id": "task1420-eb467eb078df488ca42fc22a562d0d8d", "input": "Problem: a prize of $ 400 is to be distributed among 20 winners , each of whom must be awarded at least $ 20 . if 2 / 5 of the prize will be distributed to 3 / 5 of the winners , what is the greatest possible individual award ? \nOptions: a ) $ 100 , b ) $ 220 , c ) $ 280 , d ) $ 300 , e ) $ 360", "output": [ "a" ] }, { "id": "task1420-640c993877744986a87824e5ae27c7dc", "input": "Problem: a certain social security recipient will receive an annual benefit of $ 12,000 provided he has annual earnings of $ 9,360 or less , but the benefit will be reduced by $ 1 for every $ 3 of annual earnings over $ 9,360 . what amount of total annual earnings would result in a 40 percent reduction in the recipient ' s annual social security benefit ? ( assume social security benefits are not counted as part of annual earnings . ) \nOptions: a ) $ 15,360 , b ) $ 17,360 , c ) $ 18,000 , d ) $ 21,360 , e ) $ 30,960", "output": [ "e" ] }, { "id": "task1420-4d98e8bbbc884be48c76a4349e2f21a4", "input": "Problem: the avg age of an adult class is 40 years . 12 new students with an avg age of 32 years join the class . therefore decreasingthe avg by 4 year . find what was the original strength of class ? \nOptions: a ) 8 , b ) 12 , c ) 15 , d ) 16 , e ) 19", "output": [ "b" ] }, { "id": "task1420-9d28ef79ee4848f08957bc670077665d", "input": "Problem: a pupil ' s marks were wrongly entered as 83 instead of 53 . due to the average marks for the class got increased by half . the number of pupils in the class is ? \nOptions: a ) 18 , b ) 82 , c ) 60 , d ) 27 , e ) 29", "output": [ "c" ] }, { "id": "task1420-c192a9968d6b42c294967918779c8333", "input": "Problem: the average of 13 numbers is 60 . average of the first 7 of them is 54 and that of the last 7 is 61 . find the 8 th number ? \nOptions: a ) 25 , b ) 83 , c ) 45 , d ) 53 , e ) 64", "output": [ "a" ] }, { "id": "task1420-4eee2794222e4f1cbe62c2d88b1f2bc9", "input": "Problem: the average salary of workers in an industry is rs . 200 the average salary of technicians being rs . 400 and that of non - technicians being rs . 125 . what is the total number of workers ? \nOptions: a ) 277 , b ) 665 , c ) 662 , d ) 552 , e ) 281", "output": [ "b" ] }, { "id": "task1420-f64458dd5be6485d852596948263ef4d", "input": "Problem: the average age of an adult class is 40 years . 12 new students with an avg age of 32 years join the class . therefore decreasing theaverage by 4 year . find what was theoriginal strength of class ? \nOptions: a ) 11 , b ) 12 , c ) 17 , d ) 19 , e ) 21", "output": [ "b" ] }, { "id": "task1420-164bbcad39d5485088af311335d9d5f1", "input": "Problem: a couple decides to have 6 children . if they succeed in having 6 children and each child is equally likely to be a boy or a girl , what is the probability that they will have exactly 3 girls and 3 boys ? \nOptions: a ) 1 , b ) 9 / 64 , c ) 1 / 8 , d ) 3 / 16 , e ) 9 / 32", "output": [ "b" ] }, { "id": "task1420-0c1a8afd4f404f68979b828593098341", "input": "Problem: for every x , the action [ x ] is defined : [ x ] is the greatest integer less than or equal to x . what is the value of [ 6.5 ] x [ 2 / 3 ] + [ 2 ] x 7.2 + [ 8.3 ] - 6.6 ? \nOptions: a ) 12.6 . , b ) 15.8 . , c ) 14.4 . , d ) 16.2 . , e ) 16.4 .", "output": [ "b" ] }, { "id": "task1420-7451b984ced646a689b32df15684abb6", "input": "Problem: a box contains 7 purple , 5 blue and 11 yellow balls . what is the minimum number of tries required to get one blue and one yellow ball ? \nOptions: a ) 16 , b ) 17 , c ) 18 , d ) 19 , e ) 20", "output": [ "d" ] }, { "id": "task1420-47d023cf979d4d0fad3c611a8da10022", "input": "Problem: the average salary of a person for the months of january , february , march and april is rs . 8000 and that for the months february , march , april and may is rs . 8450 . if his salary for the month of may is rs . 6500 , find his salary for the month of january ? \nOptions: a ) 2177 , b ) 2876 , c ) 4700 , d ) 2981 , e ) 2711", "output": [ "c" ] }, { "id": "task1420-d53c9277a7fc4242960cb3c7a1c57946", "input": "Problem: a certain kind of necklace is made from 9 green , 6 white , and 3 orange beads . what is the maximum number of these necklaces that can be made from 45 beads of each color ? \nOptions: a ) 7 , b ) 8 , c ) 5 , d ) 6 , e ) 2", "output": [ "c" ] }, { "id": "task1420-a1c2908117e343649cca9d0e0632dabe", "input": "Problem: if a wholesaler distributes items to several outlets ( a , b , c and d ) in the ratio of 1 / 10 : 1 / 11 : 1 / 15 : 1 / 16 , then find the total number of items the wholesaler distributes ? \nOptions: a ) 945 , b ) 745 , c ) 845 , d ) 145 , e ) 345", "output": [ "c" ] }, { "id": "task1420-88bcf0d7a169452caacfbc2b24a8ba24", "input": "Problem: a number is increased by 20 % and then decreased by 20 % , the final value of the number is ? \nOptions: a ) does not change , b ) decreases by 2 % , c ) increases by 4 % , d ) decreases by 4 % , e ) none of these", "output": [ "d" ] }, { "id": "task1420-212425eb5e5f413fbb0a14d9b43263f3", "input": "Problem: 50 men shake hands with each other . maximum no of handshakes without cyclic handshakes . \nOptions: a ) 190 , b ) 200 , c ) 1225 , d ) 220 , e ) 230", "output": [ "c" ] }, { "id": "task1420-9714c51f6fdb47feb6412ba8037c8639", "input": "Problem: a is two years older than b who is twice as old as c . if the total of the ages of a , b and c be 32 , the how old is b ? \nOptions: a ) 10 years , b ) 12 years , c ) 14 years , d ) 15 years , e ) 16 years", "output": [ "b" ] }, { "id": "task1420-e4a34f5d1e3145e1a002608a674399f7", "input": "Problem: ifaequals the sum of the even integers from 2 to 120 , inclusive , andbequals the sum of the odd integers from 1 to 119 , inclusive , what is the value of a - b ? \nOptions: a ) 60 , b ) 10 , c ) 19 , d ) 20 , e ) 21", "output": [ "a" ] }, { "id": "task1420-e1ff2e6be9664d458f8e43f0b2ac8627", "input": "Problem: the average of 6 observations is 15 . a new observation is included and the new average is decreased by 1 . the seventh observation is ? \nOptions: a ) 1 , b ) 8 , c ) 5 , d ) 6 , e ) 7", "output": [ "b" ] }, { "id": "task1420-2198fea3426b4ff59654816258e3c696", "input": "Problem: if a ' s height is 20 % less than that of b , how much percent b ' s height is more than that of a ? \nOptions: a ) 66.66 % , b ) 66.68 % , c ) 66.766 % , d ) 86.66 % , e ) 25 %", "output": [ "e" ] }, { "id": "task1420-1ea03244485a407dabf40a243329c383", "input": "Problem: a man engaged a servant on the condition that he would pay him rs . 500 and a uniform after one year service . he served only for 9 months and received uniform and rs . 300 , find the price of the uniform ? \nOptions: a ) s . 80 , b ) s . 85 , c ) s . 90 , d ) s . 300 , e ) s . 120", "output": [ "d" ] }, { "id": "task1420-0bd3da9e8707438b87499fdefd543efe", "input": "Problem: what least number must be subtracted from 12702 to get number exactly 99 ? \nOptions: a ) 49 , b ) 30 , c ) 29 , d ) 31 , e ) 32", "output": [ "b" ] }, { "id": "task1420-c8a92a5948324b4a9293a0e06889999c", "input": "Problem: a student chose a number , multiplied it by 8 , then subtracted 138 from the result and got 102 . what was the number he chose ? \nOptions: a ) 30 , b ) 120 , c ) 130 , d ) 140 , e ) 150", "output": [ "a" ] }, { "id": "task1420-aa0f16819d6e4f148d6e25ddd032bb22", "input": "Problem: a number of 44 marbles is to be divided and contain with boxes . if each box is to contain 3 , 4 , or 5 marbles , what is the largest possible number of boxes ? \nOptions: a ) 10 , b ) 14 , c ) 15 , d ) 16 , e ) 17", "output": [ "b" ] }, { "id": "task1420-2846946489e543f097e4c1a6eb78f795", "input": "Problem: in a group of 150 people , 90 have an age of more 30 years , and the others have an age of less than 20 years . if a person is selected at random from this group , what is the probability the person ' s age is less than 20 ? \nOptions: a ) 0.4 , b ) 0.5 , c ) 0.65 , d ) 0.75 , e ) 0.85", "output": [ "a" ] }, { "id": "task1420-915f6e371edb4a05b4d35a351ffed6f5", "input": "Problem: when a student joe , weighing 42 kg , joins a group of students whose average weight is 30 kg , the average weight goes up by 1 kg . subsequently , if two students , excluding joe , leave the group the average weight comes back to 30 kg . what is the difference between the average weight of the two students who left and the weight of joe ? \nOptions: a ) 5.5 kg , b ) 6 kg , c ) 30 kg , d ) 36.5 kg , e ) 71 kg", "output": [ "b" ] }, { "id": "task1420-4f4453d21e6a4203b0a8300674278177", "input": "Problem: if there are thrice as many women as men in a group and an equal number of men and women do not own cars - a group that is 30 % of the total . what fraction of the total is men who own cars ? \nOptions: a ) 3 ⁄ 20 , b ) 11 ⁄ 60 , c ) 9 ⁄ 40 , d ) 1 ⁄ 10 , e ) 11 ⁄ 20", "output": [ "d" ] }, { "id": "task1420-be40de7a0e1848acafcd527d52bd4fa7", "input": "Problem: if a ( a + 2 ) = 48 and b ( b + 2 ) = 48 , where a ≠ b , then a + b = \nOptions: a ) - 10 , b ) - 9 , c ) - 5 , d ) - 4 , e ) - 2", "output": [ "b" ] }, { "id": "task1420-8228a1a99b65438d98e92725ea0eea88", "input": "Problem: dan ' s age after 16 years will be 6 times his age 4 years ago . what is the present age of dan ? \nOptions: a ) 8 , b ) 10 , c ) 12 , d ) 14 , e ) 16", "output": [ "a" ] }, { "id": "task1420-aa7d7cda5b9647229a34c25cb465e74c", "input": "Problem: if y is 75 % greater than x , than x is what % less than y ? \nOptions: a ) 30.6 % , b ) 34.4 % , c ) 38.7 % , d ) 42.9 % , e ) 46.5 %", "output": [ "d" ] }, { "id": "task1420-9a936df73d624bb98524344241b75014", "input": "Problem: the product x of two prime numbers is between 17 and 55 . if one of the prime numbers is greater than 2 but less than 6 and the other is greater than 13 but less than 25 , then x = \nOptions: a ) 18 , b ) 29 , c ) 37 , d ) 44 , e ) 51", "output": [ "e" ] }, { "id": "task1420-a5007f464e9549a58e55d90b7fb19380", "input": "Problem: 5 n + 2 > 12 and 7 n - 5 < 23 ; n must be between which numbers ? \nOptions: a ) 1 and 8 , b ) 2 and 4 , c ) 0 and 9 , d ) 2 and 7 , e ) 2 and 9", "output": [ "b" ] }, { "id": "task1420-c137c2e006224af4a800a79720da6553", "input": "Problem: there are 10 teams in a certain league and each team plays each of the other teams exactly once . what is the total number of games played ? \nOptions: a ) 30 , b ) 36 , c ) 42 , d ) 45 , e ) 50", "output": [ "d" ] }, { "id": "task1420-628bc6d4dfb843e384bf6932dfb3f53b", "input": "Problem: find the average of all the numbers between 11 and 21 which are divisible by 2 . \nOptions: a ) 15 , b ) 18 , c ) 16 , d ) 22 , e ) none", "output": [ "c" ] }, { "id": "task1420-5eae9660463a4777b1cc4e6b47a44b94", "input": "Problem: find the average of all numbers between 5 and 45 which are divisible by 6 \nOptions: a ) 26 , b ) 24 , c ) 28 , d ) 30 , e ) 35", "output": [ "c" ] }, { "id": "task1420-b6d7945e4bd44335aeb0a5a5b06aaac2", "input": "Problem: solution for 2.12 + . 004 + . 345 \nOptions: a ) 2.91 , b ) 2.911 , c ) 2.469 , d ) 2.586 , e ) 2.499", "output": [ "c" ] }, { "id": "task1420-d89ce5a2feb14d5cad0938ae07241f06", "input": "Problem: the value of ( 0.625 * 0.0729 * 28.9 ) / ( 0.0017 * 0.025 * 8.1 ) is \nOptions: a ) 0.3825 , b ) 3.825 , c ) 38.25 , d ) 382.5 , e ) 0.0382", "output": [ "d" ] }, { "id": "task1420-024ef41ea3ea4cc7a0bec16307dd7219", "input": "Problem: a number x is 18 times another number y . the percentage that y is less than x is \nOptions: a ) 12.5 % , b ) 87.5 % , c ) 80 % , d ) 94.4 % , e ) 1 %", "output": [ "d" ] }, { "id": "task1420-5a6e6e4a36e34b40adbe1cc427686ebc", "input": "Problem: the maximum number of girls among them 2923 bags and 3239 eyeliners can be distributed in such a way that each student gets the same number of bags and eyeliners . \nOptions: a ) 80 , b ) 79 , c ) 78 , d ) 81 , e ) 82", "output": [ "b" ] }, { "id": "task1420-056707af220b44bd9ae8c79ad8efe436", "input": "Problem: if x / y = 3 and ( 2 a - x ) / ( 5 b - y ) = 3 , then the value of a / b is ? \nOptions: a ) 15 / 2 , b ) - 2 , c ) 1 , d ) 2 , e ) 3", "output": [ "a" ] }, { "id": "task1420-642e2324ef6742669dd9cafc199f4d1f", "input": "Problem: in a flight of 600 km , an aircraft was slowed down due to bad weather . its average speed for the trip was reduced by 200 km / hr and the time of flight increased by 30 minutes . the duration of the flight is ? \nOptions: a ) 1 hr , b ) 2 hr , c ) 6 hr , d ) 8 hr , e ) 7 hr", "output": [ "a" ] }, { "id": "task1420-28b39d7013094286aebb77d00b38a867", "input": "Problem: if henry were to add 4 gallons of water to a tank that is already 3 / 4 full of water , the tank would be 7 / 8 full . how many gallons of water would the tank hold if it were full ? \nOptions: a ) 32 , b ) 40 , c ) 64 , d ) 80 , e ) 96", "output": [ "a" ] }, { "id": "task1420-ac0b4eff05d941c896a9d6e4ba12747c", "input": "Problem: find the least number must be subtracted from 165826 so that remaining no . is divisible by 4 ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "b" ] }, { "id": "task1420-6e7096367c364717b440fdcb336c361b", "input": "Problem: 9 persons went to a hotel for taking their meals . 8 of them spent rs 12 each on their meals and the ninth spent rs . 8 more than the average expenditure of all the 9 . what was the total money spent by them ? \nOptions: a ) 117 , b ) 180 , c ) 150 , d ) 200 , e ) 250", "output": [ "a" ] }, { "id": "task1420-c37e2321fea44921b4240b040e5d3a77", "input": "Problem: the overall age of x and y is 19 year greater than the overall age of y and z . z is how many decades younger that x ? \nOptions: a ) 11 , b ) 15 , c ) 12 , d ) 19 , e ) 20", "output": [ "d" ] }, { "id": "task1420-f49bd65565f34f59b2d1e56751eaf9c8", "input": "Problem: when average age of 25 members are 0 , how many members greater than 0 ? \nOptions: a ) 17 , b ) 24 , c ) 21 , d ) 23 , e ) 25", "output": [ "b" ] }, { "id": "task1420-017811e0d5ac4265860346adf0b5228f", "input": "Problem: of the total amount that jill spent on a shopping trip , excluding taxes , she spent 25 percent on clothing , 25 percent on food , and 50 percent on other items . if jill paid a 10 percent tax on the clothing , no tax on the food , and an 2 percent tax on all other items , then the total tax that she paid was what percent of the total amount that she spent , excluding taxes ? \nOptions: a ) 3 , b ) 4.5 , c ) 4 , d ) 3.5 , e ) 5", "output": [ "d" ] }, { "id": "task1420-60b73e6e81564c029cbe6098f0c5f784", "input": "Problem: the average salary of a person for the months of january , february , march and april is rs . 8000 and that for the months february , march , april and may is rs . 8700 . if his salary for the month of may is rs . 6500 , find his salary for the month of january ? \nOptions: a ) s . 3700 , b ) s . 4570 , c ) s . 4500 , d ) s . 4550 , e ) s . 2500", "output": [ "a" ] }, { "id": "task1420-f5f5f97f966a4439b91c1dcf1ecd0f07", "input": "Problem: if 8 gallons of gasoline are added to a tank that is already filled to 3 / 4 of its capacity , the tank is then filled to 9 / 10 of its capacity . how many gallons does the tank hold ? \nOptions: a ) 20 , b ) 24 , c ) 36 , d ) 48 , e ) 60", "output": [ "d" ] }, { "id": "task1420-fe7f3023acb84dd084a1137bff39a076", "input": "Problem: how many quarters are equal to 5 dollars ? \nOptions: a ) 1 , b ) 8 , c ) 12 , d ) 20 , e ) 7", "output": [ "d" ] }, { "id": "task1420-cafb4b2d49e54dc5af2dec0f40742855", "input": "Problem: there were 35 students in a hostel . if the number of students increases by 7 , the expenses of the mess increase by rs . 42 per day while the average expenditure per head diminishes by re 1 . find the original expenditure of the mess . \nOptions: a ) rs . 480 , b ) rs . 520 , c ) rs . 420 , d ) rs . 460 , e ) none of these", "output": [ "c" ] }, { "id": "task1420-ff530dc83e9446faae2569bc51268a48", "input": "Problem: in the coordinate plane , line a has a slope of - 1 and an x - intercept of 1 . line b has a slope of 3 and a y - intercept of - 3 . if the two lines intersect at the point ( a , b ) , what is the sum a + b ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4", "output": [ "b" ] }, { "id": "task1420-7119ead7f8ca45248d771cccb8db2661", "input": "Problem: what is the units digit of ( 147 ^ 25 ) ^ 50 ? \nOptions: a ) 1 , b ) 3 , c ) 5 , d ) 7 , e ) 9", "output": [ "e" ] }, { "id": "task1420-3de8e68338eb4a488508cd0ac326aa89", "input": "Problem: a one - foot stick is marked in 1 / 3 and 1 / 4 portion . how many total markings will there be , including the end points ? \nOptions: a ) 8 , b ) 9 , c ) 7 , d ) 6 , e ) 5", "output": [ "c" ] }, { "id": "task1420-8b12e5f6cc644daa8026508763d50eca", "input": "Problem: a number x is 11 times another number y . the percentage that y is less than x is \nOptions: a ) 12.5 % , b ) 90.9 , c ) 91.7 , d ) 11 % , e ) 1 %", "output": [ "b" ] }, { "id": "task1420-879ed9b2b11f469c9c2a19909e356ff5", "input": "Problem: in a certain company , the formula for maximizing profits is p = - 25 x ^ 2 + 7500 x , , where p is profit and x is the number of machines the company operates in its factory . what value for x will maximize p ? this one is from integratedlearning . here ' s what i did : the oa states : to find a maximum or minimum value of an equation with an exponent in it , you take the derivative of the equation , set it to zero , and solve . i dont really get what that means . so whoever solves it , could you plz post explanation of what the above sentence mean as well ? \nOptions: a ) 10 , b ) 50 , c ) 150 , d ) 200 , e ) 300", "output": [ "c" ] }, { "id": "task1420-6c87cd158c124720ad6e507e4dfb5391", "input": "Problem: the average student age of a certain class which has 45 students is 14 . if one student aged 15 go to another class and the age of the class teacher is included the average changes to 14.66 . what is the age of class teacher ? \nOptions: a ) 30 , b ) 35 , c ) 38 , d ) 40 , e ) 45", "output": [ "e" ] }, { "id": "task1420-7b9c167daefa4f1b81a1713e58fc6dd5", "input": "Problem: in the xy - coordinate plane , the graph of y = - x ^ 2 + 4 intersects line l at ( p , 5 ) and ( t , - 7 ) . what is the least possible value of the slope of line l ? \nOptions: a ) 6 , b ) 2 , c ) - 4 , d ) - 6 , e ) - 10", "output": [ "c" ] }, { "id": "task1420-02f7ee202b2848d0b9ac243407721100", "input": "Problem: excluding stoppages , the average speed of a bus is 100 km / hr and including stoppages , the average speed of the bus is 40 km / hr . for how many minutes does the bus stop per hour ? \nOptions: a ) 15 min , b ) 18 min , c ) 16 min , d ) 20 min , e ) 36 min", "output": [ "e" ] }, { "id": "task1420-66bd336ff2774b7980b37d721c396162", "input": "Problem: a test has 150 questions . each question has 5 options , but only 1 option is correct . if test - takers mark the correct option , they are awarded 1 point . however , if an answer is incorrectly marked , the test - taker loses 0.25 points . no points are awarded or deducted if a question is not attempted . a certain group of test - takers attempted different numbers of questions , but each test - taker still received the same net score of 40 . what is the maximum possible number of such test - takers ? \nOptions: a ) 19 , b ) 21 , c ) 23 , d ) 25 , e ) 27", "output": [ "c" ] }, { "id": "task1420-373d262efcc5451dbf9b9b782c81cce5", "input": "Problem: find out the square of a number which when doubled exceeds its one fifth by 9 ? \nOptions: a ) 16 , b ) 25 , c ) 19 , d ) 26 , e ) 17", "output": [ "b" ] }, { "id": "task1420-da01d1d0245345739ef0a11a20faceb8", "input": "Problem: if 40 % of ( x - y ) = 20 % of ( x + y ) , then what percent of x is y ? \nOptions: a ) 50.5 % , b ) 44.4 % , c ) 22.2 % , d ) 33.3 % , e ) 25 %", "output": [ "d" ] }, { "id": "task1420-0521593d537648448f1c8772a570d286", "input": "Problem: in a forest 170 deer were caught , tagged with electronic markers , then released . a week later , 50 deer were captured in the same forest . of these 50 deer , it was found that 5 had been tagged with the electronic markers . if the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest , and if no deer had either left or entered the forest over the preceding week , what is the approximate number of deer in the forest ? \nOptions: a ) 150 , b ) 750 , c ) 1,250 , d ) 1,700 , e ) 2,500", "output": [ "d" ] }, { "id": "task1420-b0b8872cc0a44a2f85ed78de1e3f7880", "input": "Problem: the greatest number that divides 180 , 565 and 705 leaving remainder 5 , 5 and 5 respectively is : \nOptions: a ) 31 , b ) 33 , c ) 35 , d ) 38 , e ) 39", "output": [ "c" ] }, { "id": "task1420-6d79132506a24ebca6c5ce000ffea78b", "input": "Problem: in a tree , 3 / 5 of the birds are parrots while the rest are toucans . if 1 / 3 of the parrots are female and 3 / 4 of the toucans are female , what fraction of the birds in the tree are male ? \nOptions: a ) 1 / 2 , b ) 2 / 5 , c ) 3 / 5 , d ) 3 / 10 , e ) 7 / 10", "output": [ "a" ] }, { "id": "task1420-1853d29bbaad4d2da21042eb9358874f", "input": "Problem: a , b , c and d enter into partnership . a subscribes 1 / 3 of the capital b 1 / 4 , c 1 / 5 and d the rest . how much share did a get in a profit of rs . 2400 ? \nOptions: a ) s . 800 , b ) s . 810 , c ) s . 820 , d ) s . 900 , e ) s . 920", "output": [ "a" ] }, { "id": "task1420-1df90d860bc64c20b2519fc7afc9d4eb", "input": "Problem: if a - b = 3 and a 2 + b 2 = 29 , find the value of ab ? \nOptions: a ) 10 , b ) 12 , c ) 14 , d ) 17 , e ) 18", "output": [ "a" ] }, { "id": "task1420-c59ba74a00ff4cbaae6e29f5c6dba52e", "input": "Problem: if p / q = 4 / 5 , then the value of 11 / 7 + { ( 2 q - p ) / ( 2 q + p ) } is ? \nOptions: a ) 3 / 7 , b ) 34 , c ) 1 , d ) 2 , e ) 3", "output": [ "d" ] }, { "id": "task1420-c12eb33713d64fa6a4daf8ece27a64f0", "input": "Problem: divide rs . 720 among a , b and c so that a receives 1 / 3 as much as b and c together and b receives 2 / 3 as a and c together . a ' s share is ? \nOptions: a ) s . 800 , b ) s . 400 , c ) s . 600 , d ) s . 180 , e ) s . 900", "output": [ "d" ] }, { "id": "task1420-61907fefd99b40bea40cda3caaed4872", "input": "Problem: joe ’ s average ( arithmetic mean ) test score across 4 equally weighted tests was 50 . he was allowed to drop his lowest score . after doing so , his average test score improved to 55 . what is the lowest test score that was dropped ? \nOptions: a ) 20 , b ) 35 , c ) 55 , d ) 65 , e ) 80", "output": [ "b" ] }, { "id": "task1420-75c66bbdad9e4867a4df22d1ed6ff470", "input": "Problem: the average height of 20 students in a class was calculated as 175 cm . it has later found that the height of one of the students in the class was incorrectly written as 151 cm whereas the actual height was 136 cm . what was the actual average height of the students in the class ? \nOptions: a ) 174.75 cm , b ) 174.25 cm , c ) 173.75 cm , d ) 173.25 cm , e ) 172.75 cm", "output": [ "b" ] }, { "id": "task1420-ffba2cf4030c4a628040c988eefa94a0", "input": "Problem: the distance from the x - axis to point p is half the distance from the y - axis to point p . if the coordinates of p are ( x , - 5 ) , how many units is p from the y - axis ? \nOptions: a ) 2.5 , b ) 5 , c ) 7.5 , d ) 10 , e ) 12", "output": [ "d" ] }, { "id": "task1420-6fb6455ddbed40a3a1ff8a91df965e95", "input": "Problem: if ( 18 ^ a ) * 9 ^ ( 3 a – 1 ) = ( 2 ^ 4 ) ( 3 ^ b ) and a and b are positive integers , what is the value of a ? \nOptions: a ) 22 , b ) 11 , c ) 9 , d ) 6 , e ) 4", "output": [ "e" ] }, { "id": "task1420-d5e42b73af2a462a94a0f9c983341c70", "input": "Problem: the average weight of a group of boys is 30 kg . after a boy of weight 40 kg joins the group , the average weight of the group goes up by 1 kg . find the number of boys in the group originally ? \nOptions: a ) 14 , b ) 5 , c ) 6 , d ) 7 , e ) 9", "output": [ "e" ] }, { "id": "task1420-40d5b820fda647dc8906a922661f24cf", "input": "Problem: ( x + 7 ) is a factor in x ^ 2 - mx - 35 . what is the value of m ? \nOptions: a ) - 3 , b ) - 2 , c ) - 4 , d ) - 5 , e ) - 6", "output": [ "b" ] }, { "id": "task1420-c94fd7e51ee545faa17d35bb5fd414af", "input": "Problem: a boy rides his bicycle 10 km at an average sped of 12 km / hr and again travels 12 km at an average speed of 10 km / hr . his average speed for the entire trip is approximately . \nOptions: a ) 10.2 kmph , b ) 10.4 kmph , c ) 10.8 kmph , d ) 11.8 kmph , e ) none", "output": [ "c" ] }, { "id": "task1420-f13d4dda88534af7804b9d79b5261e03", "input": "Problem: the smallest number when increased by ` ` 1 ` ` is exactly divisible by 618 , 3648 , 60 is : \nOptions: a ) 724 , b ) 721 , c ) 720 , d ) 719 , e ) 700", "output": [ "d" ] }, { "id": "task1420-04b5800f8f9d47b1b547ca8cafe3e015", "input": "Problem: what is the remainder when 54487 ^ ( 42787035 ) is divided by 5 ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4", "output": [ "d" ] }, { "id": "task1420-80351881b82c4dce9178287f69b291d9", "input": "Problem: the population of a town increased from 1 , 75,000 to 2 , 97,500 in a decade . the average percent increase of population per year is \nOptions: a ) 4.37 % , b ) 5 % , c ) 6 % , d ) 8.75 % , e ) 7 %", "output": [ "e" ] }, { "id": "task1420-39ca7c3c6c5a4bf8a8741f9ca6f2cde0", "input": "Problem: when the price of an article is reduced by 30 % , the sales increases by 50 % . the percentage change in the total amount of receipts is ? \nOptions: a ) 5 % decrease , b ) 5 % increase , c ) 10 % decrease , d ) 15 % decrease , e ) none of these", "output": [ "b" ] }, { "id": "task1420-c5e7466bf625466ca98d55b81a83fe4c", "input": "Problem: if ( a + b ) = 5 , ( b + c ) = 6 and ( c + d ) = 3 , what is the value of ( a + d ) ? \nOptions: a ) 16 . , b ) 8 . , c ) 7 . , d ) 2 . , e ) - 2 .", "output": [ "d" ] }, { "id": "task1420-b4f93943a9f349f6aef18e547257eff4", "input": "Problem: what is the remainder when 14,451 × 15,654 × 16,783 is divided by 5 ? \nOptions: a ) 1 , b ) 3 , c ) 2 , d ) 4 , e ) 5", "output": [ "c" ] }, { "id": "task1420-413e992ea0974ad283c99aeacddc56cf", "input": "Problem: if y is 70 % greater than x , than x is what % less than y ? \nOptions: a ) 18.7 , b ) 25.5 , c ) 33.3 , d ) 41.2 , e ) 54.4", "output": [ "d" ] }, { "id": "task1420-732a15c8841b4d9ab09e055197ada432", "input": "Problem: company m produces two kinds of stereos : basic and deluxe . of the stereos produced by company m last month , 2 / 3 were basic and the rest were deluxe . if it takes 7 / 5 as many hours to produce a deluxe stereo as it does to produce a basic stereo , then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos ? \nOptions: a ) 5 / 22 , b ) 4 / 22 , c ) 3 / 22 , d ) 9 / 22 , e ) 7 / 22", "output": [ "e" ] }, { "id": "task1420-61d09c7706094b00a10d90880e69b732", "input": "Problem: 8.008 / 1.001 \nOptions: a ) 0.008 , b ) 8 , c ) 0.8 , d ) 80 , e ) 800", "output": [ "b" ] }, { "id": "task1420-372aaefc3c1843159f935647693b5368", "input": "Problem: a parking garage rents parking spaces for $ 10 per week or $ 25 per month . how much does a person save in a year by renting by the month rather than by the week ? \nOptions: a ) $ 120 , b ) $ 160 , c ) $ 220 , d ) $ 240 , e ) $ 260", "output": [ "a" ] }, { "id": "task1420-5662c933981546b79c32e5c2ccbe1afa", "input": "Problem: rajan is sixth from the left end and vinay is tenth from the right end in a row of boys . if there are 8 boys between rajan and vinay , how many boys are there in the row ? \nOptions: a ) 24 , b ) 66 , c ) 88 , d ) 27 , e ) 91", "output": [ "a" ] }, { "id": "task1420-ccfde16f3d17487f8564d07a2052a0cb", "input": "Problem: if n is a natural number , then 6 n ^ 2 + 6 n is always divisible by ? \nOptions: a ) 6 only , b ) 6 and 12 , c ) 12 only , d ) 18 only , e ) 20 only", "output": [ "b" ] }, { "id": "task1420-68d47c47d32e488db8e98160bb6b74e9", "input": "Problem: in the faculty of reverse - engineering , 300 second year students study numeric methods , 600 second year students study automatic control of airborne vehicles and 200 second year students study them both . how many students are there in the faculty if the second year students are approximately 70 % of the total ? \nOptions: a ) 750 , b ) 800 , c ) 900 , d ) 950 , e ) 1000", "output": [ "e" ] }, { "id": "task1420-87e7094d536245feaae0627a8b1ccde3", "input": "Problem: solution x is 10 percent alcohol by volume , and solution y is 30 percent alcohol by volume . how many milliliters of solution y must be added to 300 milliliters of solution x to create a solution that is 15 percent alcohol by volume ? \nOptions: a ) 50 , b ) 100 , c ) 150 , d ) 200 , e ) 250", "output": [ "b" ] }, { "id": "task1420-87005b1e266147658a16ee91f794fe30", "input": "Problem: if 4 a – 2 b – 2 c = 32 and √ 3 a - √ ( 2 b + 2 c ) = 4 , what is the value of a + b + c ? \nOptions: a ) 3 , b ) 9 , c ) 10 , d ) 12 , e ) 14", "output": [ "d" ] }, { "id": "task1420-783ce692200d4357be079558a5f9a84a", "input": "Problem: if n is an integer , f ( n ) = f ( n - 1 ) - n and f ( 4 ) = 13 . what is the value of f ( 6 ) ? \nOptions: a ) - 1 , b ) 0 , c ) 1 , d ) 2 , e ) 4", "output": [ "d" ] }, { "id": "task1420-e45b5324cf1042ae9259378fcb31b045", "input": "Problem: set j consists of 10 consecutive even numbers . if the smallest term in the set is - 4 , what is the range of the positive integers in set j ? \nOptions: a ) 8 , b ) 12 , c ) 14 , d ) 16 , e ) 18", "output": [ "b" ] }, { "id": "task1420-678c25789f2544a98a11f0a7edade30d", "input": "Problem: a sporting goods store sold 64 frisbees in one week , some for $ 3 and the rest for $ 4 each . if receipts from frisbee sales for the week totaled $ 204 , what is the fewest number of $ 3 frisbees that could have been sold ? \nOptions: a ) 24 , b ) 12 , c ) 8 , d ) 52 , e ) 2", "output": [ "d" ] }, { "id": "task1420-62f45be4206649d0bd7249f4045ec842", "input": "Problem: total 85 matches are conducted in knockout match type . how many players will be participated in that tournament ? \nOptions: a ) 85 , b ) 81 , c ) 53 , d ) 82 , e ) 84", "output": [ "e" ] }, { "id": "task1420-83e8b41f6182468a88a79703052f6ecc", "input": "Problem: what least value should be replaced by * in 223 * 431 so the number become divisible by 9 \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "a" ] }, { "id": "task1420-c024121e3c8b4054b2d6472f671d80cd", "input": "Problem: how many integers between 2000 and 3000 that have distinct digits and increase from left to right ? \nOptions: a ) 10 , b ) 20 , c ) 60 , d ) 120 , e ) 600", "output": [ "b" ] }, { "id": "task1420-1f3c3edbe44d4a319e017c1c61dc4e7d", "input": "Problem: robert ate 10 chocolates , nickel ate 5 chocolates . how many more chocolates did robert ate than nickel ? \nOptions: a ) a ) 4 , b ) b ) 7 , c ) c ) 9 , d ) d ) 5 , e ) e ) 2", "output": [ "d" ] }, { "id": "task1420-e1df30354af04fde9c6253b27542896f", "input": "Problem: in a fuel station the service costs $ 2.75 per car , every liter of fuel costs 0.65 $ . assuming that a company owns 12 cars and that every fuel tank contains 55 liters and they are all empty , how much money total will it cost to fuel all cars ? \nOptions: a ) 320 $ , b ) 380 $ , c ) 420 $ , d ) 450 $ , e ) 462 $", "output": [ "e" ] }, { "id": "task1420-14a9f965ff134953a20edb3ba29bbd24", "input": "Problem: there are 20 players in a chess group , and each player plays each of the others once . given that each game is played by two players , how many total games will be played ? \nOptions: a ) 10 , b ) 30 , c ) 190 , d ) 60 , e ) 90", "output": [ "c" ] }, { "id": "task1420-f86e265e0e834b85b5050eba0812c625", "input": "Problem: each year for 4 years , a farmer increased the number of trees in a certain orchard by 1 / 4 of the number of trees in the orchard of the preceding year . if all of the trees thrived and there were 3125 trees in the orchard at the end of 4 year period , how many trees were in the orchard at the beginning of the 4 year period . \nOptions: a ) 1287 , b ) 1285 , c ) 1283 , d ) 1280 , e ) 1281", "output": [ "d" ] }, { "id": "task1420-2f29ddd5cefa44c2bb2701df7bdec35c", "input": "Problem: if x ¤ y = ( x + y ) ^ 2 - ( x - y ) ^ 2 . then √ 11 ¤ √ 11 = \nOptions: a ) 44 , b ) 5 , c ) 10 , d ) 15 , e ) 20", "output": [ "a" ] }, { "id": "task1420-1a0cc41afd054f71bd6900b667eff510", "input": "Problem: a cricketer makes a score of 134 runs in the 22 nd inning and thus increases his average by 3.5 . find his average after 22 nd inning . \nOptions: a ) 40 , b ) 60.5 , c ) 52 , d ) 55 , e ) 36", "output": [ "b" ] }, { "id": "task1420-478c62fd0d2b4a40a1158db2b8dacaa0", "input": "Problem: the total of 324 of 20 paise and 25 paise make a sum of rs . 71 . the no of 20 paise coins is : \nOptions: a ) 50 , b ) 100 , c ) 150 , d ) 200 , e ) 250", "output": [ "d" ] }, { "id": "task1420-772b3fdb297340df85ed8a897cb3f01c", "input": "Problem: 52 is to be divided into two parts such that the sum of 10 times the first and 22 times the second is 780 . the bigger part is : \nOptions: a ) 30.33 , b ) 34.44 , c ) 26.1 , d ) 28.0 , e ) 21.0", "output": [ "a" ] }, { "id": "task1420-e281b58df7624e3891710825f95ce99b", "input": "Problem: if x is an integer and 2.134 × 10 ^ x is less than 210,000 , what is the greatest possible value for x ? \nOptions: a ) 7 , b ) 6 , c ) 5 , d ) 4 , e ) 3", "output": [ "d" ] }, { "id": "task1420-8c9c942a30b1476c8081db3a9fa46323", "input": "Problem: sum of the squares of 3 no . ' s is 267 and the sum of their products taken two at a time is 131 . find the sum ? \nOptions: a ) 20 , b ) 24 , c ) 26 , d ) 23 , e ) 30", "output": [ "d" ] }, { "id": "task1420-69fc5d4cf4ba4ed281f98a143329b114", "input": "Problem: in a simultaneous throw of a pair of dice , find the probability of getting a total more than 10 \nOptions: a ) 5 / 13 , b ) 2 / 15 , c ) 1 / 12 , d ) 3 / 17 , e ) 6 / 19", "output": [ "c" ] }, { "id": "task1420-0382244ad4364f648f4b6450cff4de04", "input": "Problem: if √ 2 n = 64 , then the value of n is : \nOptions: a ) 6 , b ) 12 , c ) 24 , d ) 48 , e ) none", "output": [ "b" ] }, { "id": "task1420-588611ef35b24597b5101ed99714087e", "input": "Problem: what least no . must be subtracted from 427398 so that remaining no . is divisible by 15 ? \nOptions: a ) 344545629 , b ) 723437481 , c ) 354595321 , d ) 964564944 , e ) 458449909", "output": [ "b" ] }, { "id": "task1420-9c61276c00af4d2da62ab69e9302b1f3", "input": "Problem: find the least number must be subtracted from 378461 so that remaining no . is divisible by 13 ? \nOptions: a ) 4 , b ) 5 , c ) 7 , d ) 6 , e ) 8", "output": [ "b" ] }, { "id": "task1420-47db514022494c3d9375817eb768d2ed", "input": "Problem: company c sells a line of 25 products with an average retail price of $ 1,200 . if none of these products sells for less than $ 400 , and exactly 12 of the products sell for less than $ 1,000 , what is the greatest possible selling price of the most expensive product ? \nOptions: a ) 10,000 , b ) 11.0 , c ) 12,000 , d ) 13,200 , e ) 14,000", "output": [ "d" ] }, { "id": "task1420-9fe34f61b53e46f8af9af4696a70ef44", "input": "Problem: if x and y are integers such that x ^ 2 = 2 y and xy = 32 , then x – y = ? \nOptions: a ) - 30 , b ) - 20 , c ) - 5 , d ) - 4 , e ) 20", "output": [ "d" ] }, { "id": "task1420-3fcda1a01ae7453b908d509cf7edf09f", "input": "Problem: the difference of two numbers is 11 and one - fifth of their sum is 9 . find the numbers . \nOptions: a ) 28 and 17 , b ) 27 and 18 , c ) 25 and 15 , d ) 27 and 15 , e ) 25 and 18", "output": [ "a" ] }, { "id": "task1420-756065df3bf34aff9f891ecbe6684ccd", "input": "Problem: a man has some hens and cows . if the number of heads be 48 and the number of feet equals 140 , then the number of hens will be : \nOptions: a ) 43 , b ) 26 , c ) 33 , d ) 21 , e ) 28", "output": [ "b" ] }, { "id": "task1420-1fc54cbf4ae047f1bbbb1f34689a1179", "input": "Problem: 8 percent of the programmers in a startup company weigh 200 pounds or more . 20 - 5 percent of the programmers that are under 200 pounds in that same company weigh 100 pounds or less . what percent of the programmers in the startup company weigh between 100 and 200 pounds ? \nOptions: a ) 15 % , b ) 20 % , c ) 25 % , d ) 69 % , e ) 75 %", "output": [ "d" ] }, { "id": "task1420-8f7610045fd445c1951696d51d045c46", "input": "Problem: the average of temperatures at noontime from monday to friday is 55 ; the lowest one is 45 , what is the possible maximum range of the temperatures ? \nOptions: a ) 20 , b ) 25 , c ) 40 , d ) 45 , e ) 75", "output": [ "c" ] }, { "id": "task1420-c1afbc2a4bf64116846e1b038ccb630c", "input": "Problem: 123 : 36 : : 221 : ? \nOptions: a ) 52 , b ) 69 , c ) 72 , d ) 25 , e ) 32", "output": [ "d" ] }, { "id": "task1420-3be6680012aa40a795da324a97e45c49", "input": "Problem: when 1 / 20 % of 4,000 is subtracted from 1 / 20 of 4,000 , the difference is \nOptions: a ) 50 , b ) 198 , c ) 380 , d ) 398 , e ) 400", "output": [ "b" ] }, { "id": "task1420-c4d1f126fb204fb0a95aed4b05884070", "input": "Problem: there are 32 balls which are red , blue or green . if 15 balls are green and the sum of red balls and green balls is less than 23 , at most how many red balls are there ? \nOptions: a ) 4 , b ) 5 , c ) 6 , d ) 7 , e ) 8", "output": [ "d" ] }, { "id": "task1420-abd94b7f87874166b33e50566e9c884c", "input": "Problem: a green grocer received a boxful of tomatoes and on opening the box found that several had gone bad . he then counted them up so that he could make a formal complaint and found that 68 were mouldy , which was 16 per cent of the total contents of the box . how many tomatoes were in the box ? \nOptions: a ) 336 , b ) 425 , c ) 275 , d ) 235 , e ) 689", "output": [ "b" ] }, { "id": "task1420-3385a4702a3648f69307bde070873a07", "input": "Problem: if 5 ^ 21 x 8 ^ 7 = 10 ^ n what is the value of n ? \nOptions: a ) 26 , b ) 24 , c ) 21 , d ) 28 , e ) 20", "output": [ "c" ] }, { "id": "task1420-84823046c72143ffa58febfd52d0df0e", "input": "Problem: a certain bus driver is paid a regular rate of $ 16 per hour for any number of hours that does not exceed 40 hours per week . for any overtime hours worked in excess of 40 hours per week , the bus driver is paid a rate that is 75 % higher than his regular rate . if last week the bus driver earned $ 1116 in total compensation , how many total hours did he work that week ? \nOptions: a ) 36 , b ) 57 , c ) 44 , d ) 48 , e ) 52", "output": [ "b" ] }, { "id": "task1420-b58d6404c1e84d3fa1b6eb0454050f37", "input": "Problem: in township k each property is taxed at 10 percent of its assessed value . if the assessed value of a property in township k is increased from $ 20,000 to $ 28,000 , by how much will the property tax increase ? \nOptions: a ) $ 800 , b ) $ 1000 , c ) $ 600 , d ) $ 400 , e ) $ 500", "output": [ "a" ] }, { "id": "task1420-8ad93c09120a4873a9efd9759f191fe2", "input": "Problem: the digital sum of a number is the sum of its digits . for how many of the positive integers 24 - 130 inclusive is the digital sum a multiple of 7 ? \nOptions: a ) 7 , b ) 8 , c ) 14 , d ) 16 , e ) 20", "output": [ "c" ] }, { "id": "task1420-6d14dd0ea1814807a2bad0c6d0b33f96", "input": "Problem: a corporation that had $ 10 billion in profits for the year paid out $ 500 million in employee benefits . approximately what percent of the profits were the employee benefits ? ( note : 1 billion = 10 ^ 9 ) \nOptions: a ) 50 % , b ) 20 % , c ) 5 % , d ) 2 % , e ) 0.2 %", "output": [ "c" ] }, { "id": "task1420-fda8169eb90b4e669d61e575ec7f0935", "input": "Problem: if 7 ^ k = 2 , then 7 ^ ( 4 k + 2 ) = \nOptions: a ) 729 , b ) 754 , c ) 784 , d ) 783 , e ) 108", "output": [ "c" ] }, { "id": "task1420-7cf7b1cdeb2446c7aa194a125da95db0", "input": "Problem: 894.7 – 573.07 – 95.007 = ? \nOptions: a ) 226.623 , b ) 224.777 , c ) 233.523 , d ) 414.637 , e ) none of these", "output": [ "a" ] }, { "id": "task1420-70a03f398a3047f4854e5511fe9d61da", "input": "Problem: a salesman commission is 5 % on all sales upto $ 10000 and 4 % on all sales exceeding this . he remits $ 31100 to his parent company after deducting his commission . find the total sales ? \nOptions: a ) $ 30000 , b ) $ 32500 , c ) $ 35120 , d ) $ 41520 , e ) $ 25460", "output": [ "b" ] }, { "id": "task1420-44b3d7dadf984c6db2b0922d870d74a5", "input": "Problem: a man is 27 years older than his son . in two years , his age will be twice the age of his son . the present age of the son is ? \nOptions: a ) 11 , b ) 25 , c ) 27 , d ) 22 , e ) 91", "output": [ "b" ] }, { "id": "task1420-e39128c4cdb2411bb74e768031a833c6", "input": "Problem: sophia finished 2 / 3 of a book . she calculated that she finished 30 more pages than she has yet to read . how long is her book ? \nOptions: a ) a ) 90 , b ) b ) 150 , c ) c ) 130 , d ) d ) 190 , e ) e ) 210", "output": [ "a" ] }, { "id": "task1420-2bd0159756304099b6a9075dd3083946", "input": "Problem: the average temperature for monday , tuesday , wednesday and thursday was 48 degrees and for tuesday , wednesday , thursday and friday was 46 degrees . if the temperature on monday was 42 degrees . find the temperature on friday ? \nOptions: a ) 34 , b ) 55 , c ) 66 , d ) 81 , e ) 21", "output": [ "a" ] }, { "id": "task1420-fb038d3a80224e6e90db9e4f8a9d4ef4", "input": "Problem: find the average of all the numbers between 6 and 34 which are divisible by 5 \nOptions: a ) 18 , b ) 20 , c ) 24 , d ) 30 , e ) 40", "output": [ "b" ] }, { "id": "task1420-0c64ce728e2641c4a781240282fbd60f", "input": "Problem: let s be the set of all positive integers that , when divided by 8 , have a remainder of 5 . what is the 81 th number in this set ? \nOptions: a ) 605 , b ) 608 , c ) 613 , d ) 616 , e ) 645", "output": [ "e" ] }, { "id": "task1420-5a7eb40257784a499a7ef4e1e2f69ef9", "input": "Problem: rebecca ' s annual income is $ 20 , and jimmy ' s annual income is $ 10 , . by how much must rebecca ' s annual income increase so that it constitutes 55 % of rebecca and jimmy ' s combined income ? \nOptions: a ) 8 , b ) 9 , c ) 7.77 , d ) 10 , e ) 11", "output": [ "c" ] }, { "id": "task1420-4a061f42b87146f487904fba4fc11fa3", "input": "Problem: in a 500 member association consisting of men and women , exactly 20 % of men and exactly 50 % women are homeowners . what is the least number of members who are homeowners ? \nOptions: a ) 149 , b ) 147 , c ) 101 , d ) 143 , e ) 141", "output": [ "c" ] }, { "id": "task1420-44dc2b7f87954c50ac530b892925cbf9", "input": "Problem: 3 , 15 , x , 51 , 53 , 159161 value of x ? \nOptions: a ) 17 , b ) 34 , c ) 54 , d ) 64 , e ) 112", "output": [ "a" ] }, { "id": "task1420-9accda38cafd4af39f91ab6022d9c756", "input": "Problem: each week , harry is paid x dollars per hour for the first 30 hours and 1.5 x dollars for each additional hour worked that week . each week , annie is paid x dollars per hour for the first 40 hours and 2 x dollars for each additional hour worked that week . last week annie worked a total of 50 hours . if harry and annie were paid the same amount last week , how many hours did harry work last week ? \nOptions: a ) 40 , b ) 45 , c ) 50 , d ) 55 , e ) 60", "output": [ "c" ] }, { "id": "task1420-925ebadb20d849ce932a6653a5d23a16", "input": "Problem: what is the value of 3 x ^ 2 − 1.8 x + 0.4 for x = 0.6 ? \nOptions: a ) − 0.3 , b ) 0 , c ) 0.4 , d ) 1.08 , e ) 2.46", "output": [ "c" ] }, { "id": "task1420-5999e8061ffb4058b462f136457dc732", "input": "Problem: the product x of two prime numbers is between 17 and 55 . if one of the prime numbers is greater than 2 but less than 6 and the other is greater than 11 but less than 25 , then x = \nOptions: a ) 18 , b ) 29 , c ) 37 , d ) 44 , e ) 65", "output": [ "e" ] }, { "id": "task1420-74d11d6081484f7c9d2051a17c3ab39c", "input": "Problem: find two integers , neither of which ends in a zero , and whose product is exactly 00000 \nOptions: a ) 64 and 15,625 , b ) 32 and 3,125 , c ) 64 and 15,620 , d ) 64 and 15,635 , e ) 64 and 16,625", "output": [ "b" ] }, { "id": "task1420-b5d00c72be874789838e0167e94eab4e", "input": "Problem: in a market , a dozen eggs cost as much as a pound of rice , and a half - liter of kerosene costs as much as 8 eggs . if the cost of each pound of rice is $ 0.33 , then how many q cents does a liter of kerosene cost ? [ one dollar has 100 cents . ] \nOptions: a ) 0.33 , b ) 0.44 , c ) 0.55 , d ) 44 , e ) 55", "output": [ "d" ] }, { "id": "task1420-8670cd67f828443a9c10d981257ef0df", "input": "Problem: on average , the boys in the class have 20 pencils and the girls have 38 pencils . if the overall class average is 30 pencils , what is the ratio of boys to girls in the class ? \nOptions: a ) 1 / 2 , b ) 2 / 3 , c ) 3 / 4 , d ) 4 / 5 , e ) 5 / 6", "output": [ "d" ] }, { "id": "task1420-23a7d0a41e284d7f8ff9c169822ac476", "input": "Problem: ( 112 x 54 ) = ? \nOptions: a ) 67000 , b ) 70000 , c ) 76500 , d ) 77200 , e ) 85200", "output": [ "b" ] }, { "id": "task1420-598ef634c48f4122a97c39b1c59270cd", "input": "Problem: the price of stock increased by 8 % last year and decreased by 6 % this year . what is the net percentage change in the price of the stock ? \nOptions: a ) 0.2 % , b ) 0.8 % , c ) 1.2 % , d ) 1.52 % , e ) 2 %", "output": [ "d" ] }, { "id": "task1420-f84943da3c704ea5b5d841b2724a6312", "input": "Problem: if x and y are positive integers and 5 + x + y + xy = 19 , what is the value of x + y ? \nOptions: a ) 3 , b ) 5 , c ) 6 , d ) 8 , e ) 9", "output": [ "c" ] }, { "id": "task1420-cb5237aa47f94d4c8043e718695a53d7", "input": "Problem: a dozen eggs and 5 pounds of oranges are currently at the same price . if the price of a dozen eggs rises by 3 percent and the price of oranges rises by 6 % . how much more will it cost to buy a dozen eggs and 10 pounds of oranges . \nOptions: a ) 8 % , b ) 9 % , c ) 10 % , d ) 11 % , e ) 5 %", "output": [ "b" ] }, { "id": "task1420-51bcc6b8c2944b46bb0c837e3f0cdedf", "input": "Problem: the average age of students of a class is 15.8 years . the average age of boys in the class is 16.4 years and that of the girls is 15.4 years , the ratio of the number of boys to the number of girls in the class is : \nOptions: a ) 2 : 9 , b ) 2 : 3 , c ) 2 : 1 , d ) 2 : 2 , e ) 2 : 6", "output": [ "b" ] }, { "id": "task1420-c1ee589b156948c9abdf813c6f35d0f5", "input": "Problem: a committee is reviewing a total of 20 x black - and - white films and 6 y color films for a festival . if the committee selects y / x % of the black - and - white films and all of the color films , what fraction x of the selected films are in color ? \nOptions: a ) 1 / 130 , b ) 1 / 5 , c ) 3 / 13 , d ) 10 / 13 , e ) 30 / 31", "output": [ "e" ] }, { "id": "task1420-d6ccb07b9a2745479c3e622f2f94c962", "input": "Problem: if 11 boys meet at a reunion and each boy shakes hands exactly once with each of the others , then what is the total number of handshakes \nOptions: a ) 55 , b ) 42 , c ) 43 , d ) 44 , e ) 45", "output": [ "a" ] }, { "id": "task1420-c12e4c6df9104a33b9052760aa0c0142", "input": "Problem: in the coordinate plane , points ( x , 3 ) and ( 5 , y ) are on line k . if line k passes through the origin and has slope 3 / 5 , then x + y = \nOptions: a ) 9 , b ) 8 , c ) 7 , d ) 5 , e ) 6", "output": [ "b" ] }, { "id": "task1420-ac932a2a9c5b48bfac0c013540441aad", "input": "Problem: find the 18 th term of an arithmetic progression whose first term is 4 and the common difference is 5 . \nOptions: a ) 45 , b ) 38 , c ) 72 , d ) 74 , e ) 78", "output": [ "c" ] }, { "id": "task1420-0a2970d66456453dbe79b10a1aecfc7c", "input": "Problem: find the sum lend at c . i . at 5 p . c per annum will amount to rs . 441 in 2 years ? \nOptions: a ) 387 , b ) 400 , c ) 776 , d ) 268 , e ) 181", "output": [ "b" ] }, { "id": "task1420-5e4d14bc462040f0a413d0cfcc41bf32", "input": "Problem: the number 0.8 is how much greater than 1 / 2 ? \nOptions: a ) ½ , b ) 3 / 10 , c ) 1 / 50 , d ) 1 / 500 , e ) 2 / 500", "output": [ "b" ] }, { "id": "task1420-02c98a1eab1f4bf099764fb1f6062bd7", "input": "Problem: if q and t are positive integers , qt + q + t can not be \nOptions: a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 9", "output": [ "b" ] }, { "id": "task1420-047d803de177490980a50c9fff0c10ad", "input": "Problem: what is the smallest no . that should be added to 45454 to make it exactly divisible by 9 ? \nOptions: a ) 1 , b ) 3 , c ) 5 , d ) 6 , e ) 9", "output": [ "c" ] }, { "id": "task1420-e0769d1f6e644e0aa9fdebf50c0a70c6", "input": "Problem: how many positive integers between 1 and 200 are there such that they are multiples of 17 ? \nOptions: a ) 9 , b ) 11 , c ) 13 , d ) 10 , e ) 8", "output": [ "b" ] }, { "id": "task1420-ce7eb77faddd4e1f862cf74e81b615d2", "input": "Problem: a soccer store typically sells replica jerseys at a discount of 30 percent to 70 percent off list price . during the annual summer sale , everything in the store is an additional 20 percent off the original list price . if a replica jersey ' s list price is $ 80 , approximately what percent of the list price is the lowest possible sale price ? \nOptions: a ) 20 , b ) 25 , c ) 30 , d ) 40 , e ) 50", "output": [ "d" ] }, { "id": "task1420-389189f06a2243e782318f4a0c21b9ed", "input": "Problem: the sum of the squares of three numbers is 138 , while the sum of their products take two at a time is 131 . find the sum ? \nOptions: a ) 10 , b ) 30 , c ) 20 , d ) 50 , e ) 40", "output": [ "c" ] }, { "id": "task1420-d2137cafb23a4dc29c7d458e9a082fa0", "input": "Problem: this year , mbb consulting fired 6 % of its employees and left remaining employee salaries unchanged . sally , a first - year post - mba consultant , noticed that that the average ( arithmetic mean ) of employee salaries at mbb was 10 % more after the employee headcount reduction than before . the total salary pool allocated to employees after headcount reduction is what percent of that before the headcount reduction ? \nOptions: a ) 98.5 % , b ) 100.0 % , c ) 102.8 % , d ) 103.4 % , e ) 105.0 %", "output": [ "d" ] }, { "id": "task1420-1fa2f5d899314081afb6a316e4c15122", "input": "Problem: the difference between the place values of two threes in the numerical 40378273 is \nOptions: a ) 29997 , b ) 299997 , c ) 297 , d ) 0 , e ) none of them", "output": [ "b" ] }, { "id": "task1420-9f55e9a6c1ef425b9715fd35aeca7b27", "input": "Problem: solve ( 0.76 × 0.76 × 0.76 − 0.008 ) / ( 0.76 × 0.76 + 0.76 × 0.2 + 0.04 ) \nOptions: a ) 0.56 , b ) 0.62 , c ) 0.5 , d ) 0.48 , e ) 0.52", "output": [ "a" ] }, { "id": "task1420-259bb0910dde46d9b923107aad55c0fa", "input": "Problem: find large no . from below question the difference of two numbers is 1365 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder \nOptions: a ) 1235 , b ) 1456 , c ) 1567 , d ) 1678 , e ) 1635", "output": [ "e" ] }, { "id": "task1420-80b593abc83c4f1b8ea814b5132bc3b8", "input": "Problem: alex age after 13 years will be 10 times his age 10 years back . what is the present age of alex ? \nOptions: a ) 15 , b ) 13 , c ) 20 , d ) 21 , e ) 26", "output": [ "b" ] }, { "id": "task1420-bce696d82bdd49a19a8602566633a3f9", "input": "Problem: the digital sum of a number is the sum of its digits . for how many of the positive integers 24 - 80 inclusive is the digital sum a multiple of 7 ? \nOptions: a ) 7 , b ) 9 , c ) 14 , d ) 16 , e ) 20", "output": [ "b" ] }, { "id": "task1420-4dea03b5679c41a09a45647e4bb2b782", "input": "Problem: caleb spends $ 74.50 on 50 hamburgers for the marching band . if single burgers cost $ 1.00 each and double burgers cost $ 1.50 each , how many double burgers did he buy ? \nOptions: a ) 5 , b ) 10 , c ) 20 , d ) 40 , e ) 49", "output": [ "e" ] }, { "id": "task1420-28011c503206455082c1b32bcd2f998c", "input": "Problem: if the least common multiple of two prime numbers x and y is 10 , where x < y , then the value of 3 x + y is \nOptions: a ) 7 , b ) 9 , c ) 11 , d ) 12 , e ) 21", "output": [ "c" ] }, { "id": "task1420-9f87b018365c4151ae381b678cd73a2d", "input": "Problem: in the hillside summer camp there are 50 children . 80 % of the children are boys and the rest are girls . the camp administrator decided to make the number of girls only 10 % of the total number of children in the camp . how many more boys must she bring to make that happen ? \nOptions: a ) 55 , b ) 50 , c ) 40 . , d ) 30 . , e ) 25 .", "output": [ "b" ] }, { "id": "task1420-35ebad219ea14793933aafe93404ce91", "input": "Problem: if - 11 and - 8 are negative integers , then - 11 * - 8 + 5 is \nOptions: a ) - 14 , b ) 14 , c ) 33 , d ) 83 , e ) 93", "output": [ "e" ] }, { "id": "task1420-1d09d5a6311c44278e8f8e16289d6840", "input": "Problem: there are cats got together and decided to kill the mice of 999975 . each cat kills equal number of mice and each cat kills more number of mice than cats there were . then what are the number of cats ? \nOptions: a ) 941,1009 , b ) 991,1001 , c ) 995,1005 , d ) 791,1009 , e ) 931,1009", "output": [ "c" ] }, { "id": "task1420-d55b8c480c2f443ab586f5a92cce7a3d", "input": "Problem: a man engaged a servant on a condition that he ' ll pay rs 90 and also give him a bag at the end of the yr . he served for 9 months and was given a turban and rs 65 . so the price of turban is \nOptions: a ) rs 10 , b ) rs 9 , c ) rs 0 , d ) rs 55 , e ) rs 8", "output": [ "a" ] }, { "id": "task1420-b36c5a3fa4b74b68af08b0e0075d4afb", "input": "Problem: the average score of a cricketer in 2 matches is 30 and in other 3 matches is 40 . then find the average score in all the 5 matches ? \nOptions: a ) 25 , b ) 27 , c ) 30 , d ) 35 , e ) 36", "output": [ "e" ] }, { "id": "task1420-3aee70546d9645db8d2b45ec061ac3fa", "input": "Problem: if the average ( arithmetic mean ) of a and b is 45 and the average of b and c is 85 , what is the value of c â ˆ ’ a ? \nOptions: a ) 25 , b ) 80 , c ) 90 , d ) 140 , e ) it can not be determined from the information given", "output": [ "b" ] }, { "id": "task1420-501936784b154275810224660cd8c24d", "input": "Problem: calculate the value of n from the below equation : n ^ 3 â ˆ ’ 10 n + 20 = 44 \nOptions: a ) 1 , b ) 5 , c ) 3 , d ) 2 , e ) 4", "output": [ "e" ] }, { "id": "task1420-5f42e41301e4432593462c7ce6c2f71b", "input": "Problem: in what ratio must rice at $ 9.30 / kg be mixed with rice at $ 10.80 / kg so that the mixture is worth $ 10 / kg ? \nOptions: a ) 1 : 3 , b ) 9 : 4 , c ) 8 : 7 , d ) 11 : 9 , e ) 11 : 7", "output": [ "c" ] }, { "id": "task1420-eb8451fc30384fadb899f320ce6a38c5", "input": "Problem: 5 / 4 of all married couples have more than one child . 2 / 5 of all married couples have more than 3 children . what fraction of all married couples have 2 or 3 children ? \nOptions: a ) 1 / 5 , b ) 1 / 4 , c ) 17 / 20 , d ) 3 / 5 , e ) it can not be determined from the given information .", "output": [ "c" ] }, { "id": "task1420-7d030753bdc34ba08dde84e21c018594", "input": "Problem: the average of 6 integers is 63 , and none of these integers is greater than 100 . if the average of 3 of the integers is 65 , what is the least possible value of one of the other two integers ? \nOptions: a ) 45 , b ) 62 , c ) 75 , d ) 83 , e ) 90", "output": [ "d" ] }, { "id": "task1420-ff72301652c64dceab6015f793a1b398", "input": "Problem: he total marks obtained by a student in physics , chemistry and mathematics is 130 more than the marks obtained by him in physics . what is the average mark obtained by him in chemistry and mathematics ? \nOptions: a ) 55 , b ) 65 , c ) 75 , d ) 85 , e ) 95", "output": [ "b" ] }, { "id": "task1420-77a33d481c494114b8ae83d57f55ec24", "input": "Problem: a number is increased by 50 % and then decreased by 50 % . find the net increase or decrease per cent . \nOptions: a ) 25 % , b ) 18 % , c ) 17 % , d ) 13 % , e ) 16 %", "output": [ "a" ] }, { "id": "task1420-3c391e4ba030438d82d7c0c26e17df57", "input": "Problem: two kinds of vodka are mixed in the ratio 1 : 2 and 2 : 1 and they are sold fetching the profit 10 % and 35 % respectively . if the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4 / 3 and 5 / 3 times respectively , then the mixture will fetch the profit of \nOptions: a ) 18 % , b ) 20 % , c ) 21 % , d ) 35 % , e ) can not be determined", "output": [ "d" ] }, { "id": "task1420-ea72c8a42fa1440db7c3d8cc6452b878", "input": "Problem: the difference between the value of a number increased by 12.5 % and the value of the original number decreased by 25 % is 30 . what is the original number q ? \nOptions: a ) 60 , b ) 80 , c ) 40 , d ) 120 , e ) 160", "output": [ "b" ] }, { "id": "task1420-a595b72bad554816bdd4988eceb1604d", "input": "Problem: chris age after 14 years will be 5 times his age 5 years back . what is the present age of chris ? \nOptions: a ) a ) 20 , b ) b ) 25 , c ) c ) 15 , d ) d ) 22 , e ) e ) 11", "output": [ "e" ] }, { "id": "task1420-27e7332d2cb5419dafda6ddc2b9f3493", "input": "Problem: the total age of a and b is 14 years more than the total age of b and c . c is how many year younger than a \nOptions: a ) 11 , b ) 12 , c ) 13 , d ) 14 , e ) 15", "output": [ "d" ] }, { "id": "task1420-a48dcc2a06a14d3d85038f4a219e8a9d", "input": "Problem: the least number which when divided by 3 , 4 , 5 and 6 leaves a remainder 6 , but when divided by 9 leaves no remainder , is \nOptions: a ) 117 , b ) 126 , c ) 252 , d ) 336 , e ) none of these", "output": [ "b" ] }, { "id": "task1420-e3b7a58a0cbd434aa5d858233905a5a3", "input": "Problem: the number of timeshare condos available at sunset beach is 2 / 5 the number of timeshare condos available at playa del mar . if the total number of timeshare condos available at the two beaches combined is 210 , what is the difference between the number of condos available at sunset beach and the number of condos available at playa del mar ? \nOptions: a ) 60 , b ) 90 , c ) 120 , d ) 150 , e ) 240", "output": [ "b" ] }, { "id": "task1420-8c51bc68a33a435a8a5a1428cd17dbb9", "input": "Problem: the average of 10 numbers was calculated as 17 . it is discovered later on that while calculating the average , one number , namely 56 , was incorrectly read as 26 . what is the correct average ? \nOptions: a ) 19 , b ) 20 , c ) 21 , d ) 22 , e ) 23", "output": [ "b" ] }, { "id": "task1420-7b8df0e435db423f86125272bc13bb88", "input": "Problem: a 40 - liter solution of alcohol and water is 5 percent alcohol . if 6.5 liters of alcohol and 3.5 liters of water are added to this solution , what percent of the solution produced is alcohol ? \nOptions: a ) 13 % , b ) 14 % , c ) 15 % , d ) 16 % , e ) 17 %", "output": [ "e" ] }, { "id": "task1420-8553a7f4eb3b42f19e7c8e8855de8113", "input": "Problem: line m lies in the xy - plane . the y - intercept of line m is - 5 , and line m passes through the midpoint of the line segment whose endpoints are ( 2 , 4 ) and ( 6 , - 8 ) . what is the slope of line m ? \nOptions: a ) - 3 , b ) - 1 , c ) - 1 / 3 , d ) 0 , e ) undefined", "output": [ "a" ] }, { "id": "task1420-e91d331758c447e1b936aa1daab7615e", "input": "Problem: what is the decimal equivalent of ( 1 / 4 ) ^ 5 ? \nOptions: a ) 0.0016 , b ) 0.0625 , c ) 0.0001 , d ) 0.25 , e ) 0.5", "output": [ "c" ] }, { "id": "task1420-10be9ebb9cac46629e6c377e1f139ab8", "input": "Problem: in the x - y plane , there are 4 points ( 0,0 ) , ( 0,4 ) , ( 7,4 ) , and ( 7,0 ) . if these 4 points makes a rectangle , what is the probability that x + y < 4 ? \nOptions: a ) 2 / 3 , b ) 3 / 5 , c ) 2 / 7 , d ) 4 / 9 , e ) 7 / 10", "output": [ "c" ] }, { "id": "task1420-7be8900a2d924b2abf7eb87345fde01a", "input": "Problem: what is the leastvalue of x . so that 23 x 57 is divisible by 3 ? \nOptions: a ) 2 , b ) 5 , c ) 1 , d ) 6 , e ) 7", "output": [ "c" ] }, { "id": "task1420-e5293ae4816c4f3eb36fcdef6eb37894", "input": "Problem: in 10 years , a will be twice as old 5 as b was 10 years ago . if a is now 8 years older than b , the present age of b is \nOptions: a ) 35 , b ) 37 , c ) 38 , d ) 41 , e ) 42", "output": [ "c" ] }, { "id": "task1420-2fd47d1f4dfe4ff6830ff74742bdb285", "input": "Problem: if y is 40 % greater than x , than x is what % less than y ? \nOptions: a ) 24.4 % , b ) 28.6 % , c ) 32.3 % , d ) 36.5 % , e ) 40.9 %", "output": [ "b" ] }, { "id": "task1420-b34168dcaed441e1b0fda2e6efc51287", "input": "Problem: if x < y < z and y - x > 5 , where x is an even integer and y and z are odd integers , what is the least possible value a of z - x ? \nOptions: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10", "output": [ "d" ] }, { "id": "task1420-8dad5797b9a34b44b44b5e2e549c7ff4", "input": "Problem: the initial price of an article is rs . 4000 which increases 40 % increse in its price in the first year , a 20 % decrease in the second year and a 20 % increase in the next year . what is the final price of the article ? \nOptions: a ) rs . 2928 , b ) rs . 5928 , c ) rs . 3928 , d ) rs . r 4928 , e ) rs . 6928", "output": [ "d" ] }, { "id": "task1420-42aa14c445f4480fad94bbd5b51cf017", "input": "Problem: x + ( 1 / x ) = 2.5 find x ^ 2 + ( 1 / x ^ 2 ) \nOptions: a ) 2.25 , b ) 3.25 , c ) 4.25 , d ) 5.25 , e ) 6.25", "output": [ "c" ] }, { "id": "task1420-5cb7303fdb2741c2a453b71c46c5ef98", "input": "Problem: how many diagonals does a 61 - sided convex polygon have ? \nOptions: a ) 1182 , b ) 1769 , c ) 2456 , d ) 3538 , e ) 4209", "output": [ "b" ] }, { "id": "task1420-786f7cb3fee14ce7be3b3813b0a55600", "input": "Problem: set a consists of all the prime numbers between 12 and 32 . what is the range of set a ? \nOptions: a ) 12 , b ) 18 , c ) 16.6 , d ) 17 , e ) 23", "output": [ "b" ] }, { "id": "task1420-2c7c750318e7478a858f562b4b947995", "input": "Problem: each of 3 investments has a 20 % of becoming worthless within a year of purchase , independently of what happens to the other two investments . if simone invests an equal sum k in each of these 3 investments on january 1 , the approximate chance that by the end of the year , she loses no more than 1 / 3 of her original investment is \nOptions: a ) 90 % , b ) 80 % , c ) 70 % , d ) 60 % , e ) 40 %", "output": [ "a" ] }, { "id": "task1420-c92049c3927545f08329dead501692e0", "input": "Problem: equal amount of water were poured into two empty jars of different capacities , which made one jar 1 / 7 full and other jar 1 / 6 full . if the water in the jar with lesser capacity is then poured into the jar with greater capacity , what fraction of the larger jar will be filled with water ? \nOptions: a ) 1 / 7 , b ) 7 / 12 , c ) 1 / 2 , d ) 2 / 7 , e ) 2 / 3", "output": [ "d" ] }, { "id": "task1420-72f7a978435144278cc1680ee4fe4fdb", "input": "Problem: how many integerskgreater than 100 and less than 900 are there such that if the hundreds and the units digits ofkare reversed , the resulting integer is k + 99 ? \nOptions: a ) 50 , b ) 60 , c ) 70 , d ) 80 , e ) 90", "output": [ "c" ] }, { "id": "task1420-e9d409aa816144b78bf7bcad274e3095", "input": "Problem: a student is ranked 17 th from right and 5 th from left . how many students are there in totality ? \nOptions: a ) 18 , b ) 19 , c ) 20 , d ) 21 , e ) 22", "output": [ "d" ] }, { "id": "task1420-d421505f27c447978a004be2830c8c9c", "input": "Problem: a sum of money is put out at compound interest for 2 years at 20 % . it would earn rs . 482 more if the interest were paid half - yearly . calculate the sum . \nOptions: a ) 2878 , b ) 279 , c ) 279 , d ) 482 , e ) 661", "output": [ "d" ] }, { "id": "task1420-6d95d27473e34374b863fa2be4b9e2bc", "input": "Problem: ratio of two numbers x and y is 3 : 7 . if x is increased by 50 % and y is increased by 2 then the new ratio becomes 1 : 2 . what is the ratio 2 y : ( 2 x + 6 ) \nOptions: a ) 16 : 15 , b ) 4 : 5 , c ) 7 : 12 , d ) 4 : 9 , e ) 6 : 5", "output": [ "c" ] }, { "id": "task1420-a6107d2b4bf949f596ce08344120dcd7", "input": "Problem: if there are only 2 wheelers and 4 wheelers parked in a school located at the heart of the city , find the number of 4 wheelers parked there if the total number of wheels is 70 ? \nOptions: a ) 11 , b ) 12 , c ) 13 , d ) 14 , e ) 17", "output": [ "e" ] }, { "id": "task1420-623f8eb29b12481bb6b985a25d86050f", "input": "Problem: in a division , a student took 72 as divisor instead of 36 . his answer was 24 . the correct answer is - \nOptions: a ) 42 , b ) 32 , c ) 48 , d ) 28 , e ) 38", "output": [ "c" ] }, { "id": "task1420-a18d8047162842a18606392b21332f90", "input": "Problem: two trains leave the train station at the same time . one train , on the blue line , heads east - while the other , on the red line , heads west . if the train on the blue line averages 40 km / hr and the other train averages 40 km / hr - how long will it take for the trains to be 100 km apart ? \nOptions: a ) 2 hours , b ) 2.25 hours , c ) 1 hour , d ) 1.25 hours , e ) not enough information", "output": [ "d" ] }, { "id": "task1420-e97737f5ebda4cef846e9302e826e739", "input": "Problem: a computer is programmed to multiply consecutive even integers 2 * 4 * 6 * 8 * … * n until the product is divisible by 2211 , what is the value of n ? \nOptions: a ) 22 , b ) 134 , c ) 62 , d ) 122 , e ) 672", "output": [ "b" ] }, { "id": "task1420-c565667849094b7b89d8f1746145bac6", "input": "Problem: reeya obtained 40 , 60 , 70 , 80 and 80 out of 100 in different subjects , what will be the average \nOptions: a ) 66 , b ) 75 , c ) 80 , d ) 85 , e ) 90", "output": [ "a" ] }, { "id": "task1420-82c9d6b6deb64c1e96e5ee6337727d68", "input": "Problem: product of two co - prime numbers is 117 . their l . c . m should be \nOptions: a ) 222 , b ) 117 , c ) 278 , d ) 767 , e ) 298", "output": [ "b" ] }, { "id": "task1420-cfd5da20691744b584f4291ec05a4cb0", "input": "Problem: 15.06 * 0.000001 = ? \nOptions: a ) 15060000 , b ) 0.001506 , c ) 0.01506 , d ) 1.506 e - 05 , e ) none of these", "output": [ "d" ] }, { "id": "task1420-8e89441f47534fb08ad59ebb3f630121", "input": "Problem: when x is multiplied by 2 , the result is 19 more than the result of subtracting x from 26 . what is the value of x ? \nOptions: a ) - 4 , b ) - 2 , c ) 15 , d ) 13 , e ) 22", "output": [ "c" ] }, { "id": "task1420-6c83968174c748b19935f44398907254", "input": "Problem: what will be the reminder when ( 67 ^ 67 + 67 ) is divided by 68 ? \nOptions: a ) 1 , b ) 63 , c ) 66 , d ) 67 , e ) none of these", "output": [ "c" ] }, { "id": "task1420-55f28ffc821a4914bd12f1badff491cb", "input": "Problem: the average weight of 3 packets a , b and c is 84 kg . another packet d added into the group and the average now becomes 80 kg . if another packet e , whose weight is 3 kg more than that of d , replaces a then the average weight of b , c , d and e becomes 79 kg . the weight of a is : \nOptions: a ) 70 kg , b ) 72 kg , c ) 75 kg , d ) 80 kg , e ) none of these", "output": [ "c" ] }, { "id": "task1420-9d32f166d6af45b2bda99c362a4accea", "input": "Problem: 5 years ago , the average age of a and b was 15 years . average age of a , b and c today is 20 years . how old will c be after 14 years ? \nOptions: a ) 30 , b ) 34 , c ) 40 , d ) 50 , e ) 60", "output": [ "b" ] }, { "id": "task1420-5c2a7d73909a483a8473857b170dd5a7", "input": "Problem: what is the median of a set of consecutive integers if the sum of nth number from the beginning and nth number from the end is 200 ? \nOptions: a ) 10 , b ) 25 , c ) 50 , d ) 75 , e ) 100", "output": [ "e" ] }, { "id": "task1420-08ef6c5b477f4ef5984696edf51e3db7", "input": "Problem: if john makes a contribution to a charity fund at school , the average contribution size will increase by 50 % reaching $ 75 per person . if there were 4 other contributions made before john ' s , what is the size of his donation ? \nOptions: a ) $ 100 , b ) $ 175 , c ) $ 200 , d ) $ 250 , e ) $ 450", "output": [ "b" ] }, { "id": "task1420-ae43c44b98e84c31a6bfca4abe71d8da", "input": "Problem: a clock store sold a certain clock to a collector for 20 percent more than the store had originally paid for the clock . when the collector tried to resell the clock to the store , the store bought it back at 50 percent of what the collector had paid . the shop then sold the clock again at a profit of 80 percent on its buy - back price . if the difference between the clock ' s original cost to the shop and the clock ' s buy - back price was $ 100 , for how much did the shop sell the clock the second time ? \nOptions: a ) $ 270 , b ) $ 250 , c ) $ 240 , d ) $ 220 , e ) $ 200", "output": [ "a" ] }, { "id": "task1420-28e5ef5847e946008c1c4850d4c5de83", "input": "Problem: a rope of which a calf is tied is increased from 16 m to 23 m , how much additional grassy ground shall it graze ? \nOptions: a ) 1217 , b ) 1219 , c ) 1210 , d ) 1212 , e ) 858", "output": [ "e" ] }, { "id": "task1420-c825f10d43554d5fb312bd3b1b16e204", "input": "Problem: ( √ 27 + √ 243 ) / √ 75 = ? \nOptions: a ) 2 √ 2 , b ) 2 √ 3 , c ) 3 √ 2 , d ) 3 √ 3 , e ) 12 / 5", "output": [ "e" ] }, { "id": "task1420-d6cbf38b9e2e40cb871d8650ea87102d", "input": "Problem: ( 0.82 ) ( power 3 ) - ( 0.1 ) ( power 3 ) / ( 0.82 ) ( power 2 ) + 0.082 + ( 0.1 ) ( power 2 ) is : \nOptions: a ) 0.86 , b ) 0.68 , c ) 0.96 , d ) 0.69 , e ) 0.72", "output": [ "e" ] }, { "id": "task1420-428ed1a2d4874fd0bfaa8ffcdb7f010a", "input": "Problem: if the price of a certain bond on may 1 st was 1 / 4 the price of the bond on june 1 st and the price of the bond on july 1 st was 25 % greater than the price of the bond on may 1 st . then the price of the bond on june 1 st st was what percent of the average ( arithmetic mean ) price of the bond on may 1 st and july 1 st ? \nOptions: a ) 100 % , b ) 150 % , c ) 155 % , d ) 300 % , e ) 355 %", "output": [ "e" ] }, { "id": "task1420-8ef6e0171c894b2ba49bc623301404be", "input": "Problem: what is the sum of all the multiples of 10 between 0 and 99 ? \nOptions: a ) 500 , b ) 620 , c ) 450 , d ) 340 , e ) 440", "output": [ "c" ] }, { "id": "task1420-45a04bc846e34b8bb37048f888373784", "input": "Problem: gold is 19 times as heavy as water and copper is 9 times as heavy as water . in what ratio should these be mixed to get an alloy 13 times as heavy as water ? \nOptions: a ) 1 : 2 , b ) 2 : 3 , c ) 4 : 1 , d ) 5 : 2 , e ) 6 : 5", "output": [ "b" ] }, { "id": "task1420-11673ca3b5c64b28b62fa3b2282bd08d", "input": "Problem: a man purchased 3 blankets @ rs . 100 each , 5 blankets @ rs . 150 each and two blankets at a certain rate which is now slipped off from his memory . but he remembers that the average price of the blankets was rs . 140 . find the unknown rate of two blankets ? \nOptions: a ) 350 , b ) 550 , c ) 490 , d ) 450 , e ) 457", "output": [ "a" ] }, { "id": "task1420-2a989e2cd2ae42a087cf86ffab435bf0", "input": "Problem: what are the last two digits of ( 301 * 402 * 503 * 604 * 646 * 547 * 449 * 349 ) ^ 2 \nOptions: a ) 96 , b ) 76 , c ) 56 , d ) 36 , e ) 24", "output": [ "e" ] }, { "id": "task1420-f27a0ed81a7b49e48b980477730f557c", "input": "Problem: in 10 years , a will be twice as old as b was 10 years ago . if a is now 9 years older than b , the present age of b is ? \nOptions: a ) 39 yr , b ) 42 yr , c ) 45 yr , d ) 32 yr , e ) 50 yr", "output": [ "a" ] }, { "id": "task1420-a48cf305a7e54a8dadb518ab749448b5", "input": "Problem: if rs . 782 is divided into 3 parts , proportional to 1 / 2 : 2 / 3 : 3 / 4 find the first part . \nOptions: a ) 190 , b ) 204 , c ) 220 , d ) 230 , e ) none of these", "output": [ "b" ] }, { "id": "task1420-38edca2e3fc94fbab17ef44869203c3f", "input": "Problem: for what value of x between − 8 and 8 , inclusive , is the value of x ^ 2 − 10 x + 16 the greatest ? \nOptions: a ) − 8 , b ) − 2 , c ) 0 , d ) 2 , e ) 8", "output": [ "a" ] }, { "id": "task1420-7424821c836a4f70a574a0ca088c22c4", "input": "Problem: how much is 80 % of 60 is greater than 4 / 5 of 25 ? \nOptions: a ) 15 , b ) 28 , c ) 16 , d ) 12 , e ) 73", "output": [ "b" ] }, { "id": "task1420-9b2c7a128a6f446bbf3ea7bae7aad529", "input": "Problem: find large number from below question the difference of two numbers is 1380 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder \nOptions: a ) 1245 , b ) 1345 , c ) 1455 , d ) 1577 , e ) 1653", "output": [ "e" ] }, { "id": "task1420-a846aa5356204169b1576db436be4b14", "input": "Problem: if greg buys 3 shirts , 6 trousers and 4 ties , the total cost is $ 80 . if greg buys 7 shirts , 2 trousers and 4 ties , the total cost is $ 80 . how much will it cost him to buy 5 trousers , 4 shirts and 4 ties ? \nOptions: a ) $ 60 , b ) $ 64 , c ) $ 80 , d ) $ 96 , e ) can not be determined", "output": [ "c" ] }, { "id": "task1420-51957cf6866e4e6f9ac4c8172e3218b7", "input": "Problem: the class mean score on a test was 50 , and the standard deviation was 15 . if jack ' s score was within 2 standard deviations of the mean , what is the lowest score he could have received ? \nOptions: a ) 20 , b ) 31 , c ) 45 , d ) 90 , e ) 89", "output": [ "a" ] }, { "id": "task1420-a109518b17494d13bb5c42b0a62ff34d", "input": "Problem: what is the remainder when 1201 × 1202 × 1203 × 1204 is divided by 6 ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4", "output": [ "a" ] }, { "id": "task1420-3cbb7f033f324437bb0090eff2e73a29", "input": "Problem: what is the least common multiple of 12,27 and 40 \nOptions: a ) 8521 , b ) 1080 , c ) 368 , d ) 8979 , e ) 6584", "output": [ "b" ] }, { "id": "task1420-7ddac37ba6af4c629db6c5f7d45103a9", "input": "Problem: if f ( f ( n ) ) + f ( n ) = 2 n + 3 and f ( 0 ) = 1 , what is the value of f ( 2012 ) ? \nOptions: a ) 222 , b ) 2787 , c ) 2013 , d ) 2778 , e ) 10222", "output": [ "c" ] }, { "id": "task1420-7b9eb32e87dd4055861bc66b84646832", "input": "Problem: what is the unit digit in 4 ^ 100 ? \nOptions: a ) 0 , b ) 1 , c ) 6 , d ) 3 , e ) 5", "output": [ "c" ] }, { "id": "task1420-8ab94b518e3c40df977b528d16e86a50", "input": "Problem: if 9 boys meet at a reunion and each boy shakes hands exactly once with each of the others , then what is the total number of handshakes \nOptions: a ) 41 , b ) 42 , c ) 36 , d ) 44 , e ) 45", "output": [ "c" ] }, { "id": "task1420-c6b8a3c84cf34e99818764088fa0b146", "input": "Problem: total dinning bill for 9 people was $ 211.00 . if they add 15 % tip and divided the bill evenly , approximate . what was each persons find share \nOptions: a ) $ 30.14 , b ) 45.14 , c ) 34.66 , d ) 26.96 , e ) 33.16", "output": [ "d" ] }, { "id": "task1420-12c0a40d70784fe09319186566fefaf3", "input": "Problem: if the price of gasoline increases by 25 % and ron intends to spend only 15 % more on gasoline , by how much % should he reduce the quantity of gasoline that he buys ? \nOptions: a ) 10 % , b ) 12.5 % , c ) 8 % , d ) 12 % , e ) 6.66 %", "output": [ "c" ] }, { "id": "task1420-d1b9502442494ba7a76d1f54774a4e22", "input": "Problem: in a fuel station the service costs $ 1.75 per car , every liter of fuel costs 0.45 $ . assuming that a company owns 12 cars and that every fuel tank contains 55 liters and they are all empty , how much money total will it cost to fuel all cars ? \nOptions: a ) 318 $ , b ) 380 $ , c ) 420 $ , d ) 450 $ , e ) 480 $", "output": [ "a" ] }, { "id": "task1420-75a4136e3cb845c2a7b33fa729c6957d", "input": "Problem: a miniature roulette wheel is divided into 9 equal sectors , each bearing a distinct integer from 1 to 9 , inclusive . each time the wheel is spun , a ball randomly determines the winning sector by settling in that sector . if the wheel is spun four times , approximately what is the probability that the product of the four winning sectors ’ integers will be even ? \nOptions: a ) 50 % , b ) 67 % , c ) 80 % , d ) 90 % , e ) 95 %", "output": [ "d" ] }, { "id": "task1420-f10eee6dd69f44f3bdc8a8095b0055e5", "input": "Problem: the units digit of ( 10 ) ^ ( 87 ) + ( 93 ) ^ ( 46 ) is : \nOptions: a ) 9 , b ) 4 , c ) 6 , d ) 8 , e ) 0", "output": [ "a" ] }, { "id": "task1420-1c54908107b24c7e9991e938654a8cfc", "input": "Problem: linda spent 3 / 4 of her savings on furniture and the rest on a tv . if the tv cost her $ 250 , what were her original savings ? \nOptions: a ) $ 500 , b ) $ 600 , c ) $ 700 , d ) $ 800 , e ) $ 1000", "output": [ "e" ] }, { "id": "task1420-6944962eb0584621a79976eba6c730b6", "input": "Problem: the diameter of a garden roller is 1.4 m and it is 2 m long . how much area will it cover in 5 revolutions ? ( use π = 22 ⁄ 7 ) \nOptions: a ) 40 m 2 , b ) 44 m 2 , c ) 48 m 2 , d ) 36 m 2 , e ) none of these", "output": [ "b" ] }, { "id": "task1420-783cfd9097dc4c4890336eee24394a7b", "input": "Problem: zachary is helping his younger brother , sterling , learn his multiplication tables . for every question that sterling answers correctly , zachary gives him 3 pieces of candy . for every question that sterling answers incorrectly , zachary takes away two pieces of candy . after 14 questions , if sterling had answered 2 more questions correctly , he would have earned 31 pieces of candy . how many of the 14 questions did zachary answer correctly ? \nOptions: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10", "output": [ "e" ] }, { "id": "task1420-ae047057c8f14519b6dca9c66d6daca0", "input": "Problem: the shopkeeper increased the price of a product by 25 % so that customer finds it difficult to purchase the required amount . but somehow the customer managed to purchase only 70 % of the required amount . what is the net difference in the expenditure on that product ? \nOptions: a ) 12.5 % , b ) 13 % , c ) 13.15 % , d ) 14 % , e ) 15 %", "output": [ "a" ] }, { "id": "task1420-e1ac2b27add24a6aa582a90f56cdad85", "input": "Problem: having received his weekly allowance , a student spent 3 / 5 of his allowance at the arcade . the next day he spent one third of his remaining allowance at the toy store , and then spent his last $ 0.40 at the candy store . what is this student ’ s weekly allowance ? \nOptions: a ) $ 1.20 , b ) $ 1.50 , c ) $ 1.80 , d ) $ 2.00 , e ) $ 2.50", "output": [ "b" ] }, { "id": "task1420-43041d15c2ff4cfcb83cbb5fb293f233", "input": "Problem: how many different pairs of positive integers ( a , b ) satisfy the equation 1 / a + 1 / b = 32 / 51 ? \nOptions: a ) 6 , b ) 3 , c ) 2 , d ) 1 , e ) 0", "output": [ "c" ] }, { "id": "task1420-f529bad8b7474233b7a527cdecc60d9a", "input": "Problem: when positive integer n is divided by 2 , the remainder is 1 . when n is divided by 7 , the remainder is 5 . what is the smallest positive integer p , such that ( n + p ) is a multiple of 10 ? \nOptions: a ) 1 , b ) 2 , c ) 5 , d ) 19 , e ) 20", "output": [ "c" ] }, { "id": "task1420-edfd84e95e534e38af106b0e29fe33ea", "input": "Problem: 3 ltr of water is added with 11 ltr of a solution containing 42 % of alcohol in the water . the % of alcohol in the new mixture is ? \nOptions: a ) 23 % , b ) 35 % , c ) 33 % , d ) 40 % , e ) 45 %", "output": [ "c" ] }, { "id": "task1420-e55e1434a71b4422a7fe606aa4b6b75d", "input": "Problem: if the number 892 , 142,24 x is divisible by 11 , what must be the value of x ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 0 , e ) 5", "output": [ "d" ] }, { "id": "task1420-254ca93c0e684ab6b33c3640e158cf42", "input": "Problem: how many two - element subsets of { 1,2 , 3,4 } are there that do not contain the pair of elements 2 and 4 ? \nOptions: a ) one , b ) two , c ) four , d ) five , e ) six", "output": [ "d" ] }, { "id": "task1420-137574faf0494319a3bb040862d253f6", "input": "Problem: how many 3 digit number formed by using 23 , 45 , 67 once such that number is divisible by 15 . \nOptions: a ) 8 , b ) 13 , c ) 12 , d ) 20 , e ) 22", "output": [ "a" ] }, { "id": "task1420-dea0945c32fe42628e9b071c6ef543a7", "input": "Problem: a baker makes chocolate cookies and peanut cookies . his recipes allow him to make chocolate cookie in batches of 7 and peanut cookies in batches of 6 . if he makes exactly 99 cookies , what is the minimum number of chocolate chip cookies he makes ? \nOptions: a ) 7 , b ) 14 , c ) 21 , d ) 28 , e ) 35", "output": [ "c" ] }, { "id": "task1420-806ea2cdbd4b47199c106221913af041", "input": "Problem: of the 12,210 employees of the anvil factory , 2 / 7 are journeymen . if half of the journeymen were laid off , what percentage of the total remaining employees would be journeymen ? \nOptions: a ) 14.3 % , b ) 13.67 % , c ) 33 % , d ) 28.6 % , e ) 49.67 %", "output": [ "b" ] }, { "id": "task1420-1583317be8874eb59e4b856aedc95a5f", "input": "Problem: the average of 5 quantities is 9 . the average of 3 of them is 4 . what is the average of remaining 2 numbers ? \nOptions: a ) 16.5 , b ) 10 , c ) 8 , d ) 9.5 , e ) none of these", "output": [ "a" ] }, { "id": "task1420-156079b3a0b8475593563fc61fe7eefb", "input": "Problem: ( 35423 + 7164 + 41720 ) - ( 317 x 89 ) = ? \nOptions: a ) 28213 , b ) 84307 , c ) 50694 , d ) 54094 , e ) none of them", "output": [ "d" ] }, { "id": "task1420-7cf839794f97471a89ca52492235693d", "input": "Problem: a mixture contains alcohol and water in the ratio 4 : 3 . if 10 litres of water is added to the mixture , the ratio becomes 4 : 5 . find the quantity of alcohol in the given mixture \nOptions: a ) 15 litres , b ) 10 litres , c ) 30 litres , d ) 20 litres , e ) 8 litres", "output": [ "d" ] }, { "id": "task1420-19c8ed30018941bf85813312e3c91ad2", "input": "Problem: mr . kramer , the losing candidate in a two - candidate election , received 942,568 votes , which was exactly 45 percent of all votes cast . approximately what percent of the remaining votes would he need to have received in order to have won at least 50 percent of all the votes cast ? \nOptions: a ) 9 % , b ) 12 % , c ) 15 % , d ) 17 % , e ) 20 %", "output": [ "a" ] }, { "id": "task1420-e0a3ae4439a047188745b13c844d7951", "input": "Problem: if x + y = 25 and x 2 y 3 + y 2 x 3 = 25 , what is the value of xy ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "a" ] }, { "id": "task1420-f7ad58571ca7478badc4b3f03a7d16d8", "input": "Problem: if x * y = xy – 2 ( x + y ) for all integers x and y , then 5 * ( – 3 ) = \nOptions: a ) – 19 , b ) – 11 , c ) – 4 , d ) 4 , e ) 16", "output": [ "a" ] }, { "id": "task1420-4a65c83a45314b8aaaa96247e654cd60", "input": "Problem: for every x , the action [ x ] is defined : [ x ] is the greatest integer less than or equal to x . what is the value of [ 6.5 ] x [ 2 / 3 ] + [ 2 ] x 7.2 + [ 8.4 ] - 6.0 ? \nOptions: a ) 12.6 . , b ) 14.4 . , c ) 15.8 . , d ) 16.2 . , e ) 16.4 .", "output": [ "e" ] }, { "id": "task1420-b5eb16b576ff493f92ffcd142878afe7", "input": "Problem: a certain taxi company charges $ 2.50 for the first 1 / 5 of a mile plus $ 0.40 for each additional 1 / 5 of a mile . what would this company charge for a taxi ride that was 8 miles long ? \nOptions: a ) 15.6 , b ) 18.1 , c ) 17.5 , d ) 18.7 , e ) 19.1", "output": [ "b" ] }, { "id": "task1420-87012d05b5a54ce980cda8b15a5c298a", "input": "Problem: in a fuel station the service costs $ 2.05 per car , every liter of fuel costs 0.6 $ . assuming that you fill up 3 mini - vans and 2 trucks , how much money will the fuel cost to all the cars owners total , if a mini - van ' s tank is 70 liters and a truck ' s tank is 120 % bigger and they are all empty - ? \nOptions: a ) 312.6 $ , b ) 321.05 $ , c ) 343.7 $ , d ) 398.85 $ , e ) 412.12 $", "output": [ "b" ] }, { "id": "task1420-00bf6d8e4c4c436fa0541dade04a7f06", "input": "Problem: the average of 10 numbers is 23 . if each number is increased by 6 , what will the new average be ? \nOptions: a ) 36 , b ) 29 , c ) 72 , d ) 29 , e ) 22", "output": [ "b" ] }, { "id": "task1420-e1a488f06dd34c958071515e0a022d31", "input": "Problem: 150 ml of 30 % sulphuric acid was added to approximate 400 ml of 12 % sulphuric acid solution . find the approximate concentration q of the acid in the mixture ? \nOptions: a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 4 , d ) 1 / 6 , e ) 1 / 5", "output": [ "d" ] }, { "id": "task1420-482fc121774d4345b0b85bdacb39ba87", "input": "Problem: on sunday , bill ran 4 more miles than he ran on saturday . julia did not run on saturday , but she ran twice the number of miles on sunday that bill ran on sunday . if bill and julia ran a total of 28 miles on saturday and sunday , how many miles did bill run on sunday ? \nOptions: a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 9", "output": [ "d" ] }, { "id": "task1420-0c16fd8540214cf9b5435fd3ea5a0dbb", "input": "Problem: last year , for every 100 million vehicles that traveled on a certain highway , 75 vehicles were involved in accidents . if 6 billion vehicles traveled on the highway last year , how many of those vehicles were involved in accidents ? ( 1 billion = 1,000 , 000,000 ) \nOptions: a ) 2500 , b ) 4500 , c ) 3500 , d ) 4000 , e ) 1300", "output": [ "b" ] }, { "id": "task1420-98ce6d2a0fad44d7b627b13fb651905b", "input": "Problem: 4,25 , 49,121 , 169,289 , 361,529 , \nOptions: a ) 149 , b ) 169 , c ) 841 , d ) 920 , e ) 219", "output": [ "c" ] }, { "id": "task1420-d3381b3b27e040f9965e5f149c738cfc", "input": "Problem: when n is divided by 20 , the remainder is 6 . what is the remainder when n + 16 is divided by 5 ? \nOptions: a ) 1 , b ) 3 , c ) 4 , d ) 5 , e ) 6", "output": [ "a" ] }, { "id": "task1420-2f84ad7d43dc43769760ae12c0e8b303", "input": "Problem: if a - b = 3 and a ( power 2 ) + b ( power 2 ) = 23 , find the value of ab . \nOptions: a ) 5 , b ) 8 , c ) 7 , d ) 10 , e ) 3", "output": [ "c" ] }, { "id": "task1420-12cc76e7f9c743afa53ebf9dc1a55ca8", "input": "Problem: . 009 / ? = . 01 \nOptions: a ) . 9 , b ) . 09 , c ) . 009 , d ) . 0009 , e ) none of them", "output": [ "a" ] }, { "id": "task1420-a64e84516a67455d91fe52cf8ad85df0", "input": "Problem: consider the word rotor . whichever way you read it , from left to right or from right to left , you get the same word . such a word is known as palindrome . find the maximum possible number of 5 - letter palindromes \nOptions: a ) 1700 , b ) 7570 , c ) 1576 , d ) 17576 , e ) 500", "output": [ "d" ] }, { "id": "task1420-54bcbb35537a49428dd0d7d27b485b0a", "input": "Problem: a number x is 4 times another number y . the percentage that y is less than x is \nOptions: a ) 12.5 % , b ) 75 % , c ) 80 % , d ) 11 % , e ) 1 %", "output": [ "b" ] }, { "id": "task1420-73e1ee0da32f4f56acbd643ca728116e", "input": "Problem: 5000 - 4500 ÷ 10.00 = ? \nOptions: a ) 4550 , b ) 5000 , c ) 0.5 , d ) 4000 , e ) none", "output": [ "a" ] }, { "id": "task1420-e4f329e8d815482b974869f1ff3422cc", "input": "Problem: for the past n days , the average ( arithmetic mean ) daily production at a company was 50 units . if today ' s production of 90 units raises the average to 58 units per day , what is the value of n ? \nOptions: a ) 30 , b ) 18 , c ) 10 , d ) 9 , e ) 4", "output": [ "e" ] }, { "id": "task1420-6b69b31770d1449a94867d2f50af868f", "input": "Problem: a batsman makes a score of 95 runs in the 11 th inning and thus increases his average by 5 . find his average after 11 th inning . \nOptions: a ) 40 , b ) 50 , c ) 62 , d ) 45 , e ) 56", "output": [ "d" ] }, { "id": "task1420-0a974885bb4e4c5d8df5f769eca98d6a", "input": "Problem: one pack of cake mix is being stirred before being poured into two separate baking trays . the first tray can hold a certain amount of cups of the mix while the other holds 20 cups less than the first . if the total number of cups poured is 500 , how many cups of batter does the second tray hold ? \nOptions: a ) 250 , b ) 260 , c ) 500 , d ) 280 , e ) 240", "output": [ "e" ] }, { "id": "task1420-bf6e6d466b41496898acd5a1cb54cea1", "input": "Problem: if 48 machine can finish a job in 80 days , then how many more machines would be needed to finish the job in one - fifth less time ? \nOptions: a ) a . 4 , b ) b . 8 , c ) c . 10 , d ) d . 12 , e ) e . 16", "output": [ "d" ] }, { "id": "task1420-53b6a16078a141c0b43f51b3d6f785cd", "input": "Problem: how many boxes do we need if we have to carry 250 apples into boxes that each hold 25 apples ? \nOptions: a ) a ) 9 , b ) b ) 5 , c ) c ) 7 , d ) d ) 10 , e ) e ) none of the above", "output": [ "d" ] }, { "id": "task1420-b045dd6134eb4c4b82ee0be8ddff6b2e", "input": "Problem: the ratio of ducks and frogs in a pond is 37 : 39 respectively . the average number of ducks and frogs in the pond is 132 . what is the number of frogs in the pond ? \nOptions: a ) 148 , b ) 134 , c ) 156 , d ) 144 , e ) none", "output": [ "b" ] }, { "id": "task1420-7dce09de564b4a55aaacfb4f209dd3f8", "input": "Problem: the average ( arithmetic mean ) of 4 positive integers is 30 . if the average of 2 of these integers is 15 , what is the greatest possible value that one of the other 2 integers can have ? \nOptions: a ) 55 , b ) 89 , c ) 100 , d ) 109 , e ) 115", "output": [ "b" ] }, { "id": "task1420-16f231fc9e1345c898aa3dfe49461f5a", "input": "Problem: if the price of a certain computer increased 30 percent from d dollars to 364 dollars , then 2 d = \nOptions: a ) 540 , b ) 570 , c ) 619 , d ) 649 , e ) 560", "output": [ "e" ] }, { "id": "task1420-d67c7af65b5e49c3a9c12f26df9e40ec", "input": "Problem: the average of 7 numbers is 24 . if each number be multiplied by 5 . find the average of new set of numbers ? \nOptions: a ) 110 , b ) 122 , c ) 120 , d ) 125 , e ) 145", "output": [ "c" ] }, { "id": "task1420-53edcdb430c44c9badfa9a3f6a3e999f", "input": "Problem: how many positive integers less than 20 can be expressed as the sum of a positive multiple of 2 and a positive multiple of 3 ? \nOptions: a ) 14 , b ) 13 , c ) 12 , d ) 11 , e ) 10", "output": [ "a" ] }, { "id": "task1420-f359be0268804fe6bf7a06b757472fc0", "input": "Problem: 3 friends james , david and charlie divide $ 1230 amongs them in such a way that if $ 5 , $ 10 and $ 15 are removed from the sums that james , david and charlie received respectively , then the share of the sums that they got will be in the ratio of 9 : 10 : 11 . how much did charlie receive ? \nOptions: a ) $ 600 , b ) $ 575 , c ) $ 550 , d ) $ 580 , e ) $ 615", "output": [ "e" ] }, { "id": "task1420-1d8154d5e8ea402caa7911f96d8642c5", "input": "Problem: a , b , c , d , e , f are the only 6 families in indira nagar . a , b , c , d , e and f has 7 , 8 , 10 , 13 , 6 , and 10 member in their families respectively . if 1 member from all the 6 families left their respective families to accommodate themselves in the hostel of iim lucknow , then the average number of member now in each family of indira nagar is \nOptions: a ) 8 , b ) 9 , c ) 10 , d ) 13 , e ) 15", "output": [ "a" ] }, { "id": "task1420-8e48fa1842794645a09e675052e30d85", "input": "Problem: when positive integer x is divided by 11 , the quotient is y and the remainder is 4 . when 2 x is divided by 8 , the quotient is 3 y and the remainder is 3 . what is the value of 13 y – x ? \nOptions: a ) 1 , b ) 0 , c ) - 1 , d ) - 2 , e ) - 4", "output": [ "a" ] }, { "id": "task1420-4c108f63ad9342d385ce9836107be772", "input": "Problem: a jogger running at 9 km / hr along side a railway track is 270 m ahead of the engine of a 120 m long train running at 45 km / hr in the same direction . in how much time will the train pass the jogger ? \nOptions: a ) 67 sec , b ) 89 sec , c ) 39 sec , d ) 87 sec , e ) 45 sec", "output": [ "c" ] }, { "id": "task1420-a3a4e21282ef408bbad7b31b4fe34300", "input": "Problem: firm a ' s revenues are described by the equation ra = 17.12 x and its costs by ca = 12.87 x + 2400 . firm b ' s revenues are described by the equation rb = 13.27 x and its costs by cb = 8.77 x + 1500 . ( x denotes the quantity of sales ) . if a ' s volume of sales increases from 1000 to 3000 over the same period that b ' s volume increases from 2000 to 3000 , the percent increase in profits for the firm with the biggest dollar increase in profits is \nOptions: a ) 20 % , b ) 30 % , c ) 60 % , d ) 50 % , e ) 33 %", "output": [ "b" ] }, { "id": "task1420-757eeabdf9a64be0b8de5b42c6c1d295", "input": "Problem: find the least number of five digits which is exactly divisible by 12 and 18 ? \nOptions: a ) a ) 1080 , b ) b ) 10080 , c ) c ) 10025 , d ) d ) 11080 , e ) e ) 12080", "output": [ "b" ] }, { "id": "task1420-d173261eba844330832efa617ae51e95", "input": "Problem: find value for x from below equation ? x + 1 = 5 \nOptions: a ) - 5 , b ) - 4 , c ) 4 , d ) 3 , e ) 2", "output": [ "c" ] }, { "id": "task1420-c1a3ff7e8b2542869c5ffa2b6095422f", "input": "Problem: the average ( arithmetic mean ) of all scores on a certain algebra test was 90 . if the average of the 8 male students ’ grades was 86 , and the average of the female students ’ grades was 92 , how many female students took the test ? \nOptions: a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 16", "output": [ "e" ] }, { "id": "task1420-71a848d1daae40f7a1e84e80be344adb", "input": "Problem: in the first m games of a team ' s season , the ratio of the team ' s wins to its losses was 3 : 1 . in the subsequent n games , the ratio of the team ´ s wins to losses was 2 : 3 . if m : n = 4 : 5 , what was the ratio of the team ' s wins to its losses for all m + n games ? \nOptions: a ) 7 : 8 , b ) 9 : 2 , c ) 1 : 2 , d ) 5 : 4 , e ) 3 : 2", "output": [ "d" ] }, { "id": "task1420-68f3d2f853004f1781d0e2bd3acfe597", "input": "Problem: if a and b are the roots of the equation x 2 - 4 x + 4 = 0 , then the value of a 2 + b 2 is : \nOptions: a ) 36 , b ) 24 , c ) 17 , d ) 8 , e ) 5", "output": [ "d" ] }, { "id": "task1420-c0c88d28d311459fbef96c777c5b156e", "input": "Problem: there are some people in party , 1 / 3 rd left the party . then 2 / 5 th of the remaining left the party , then 2 / 3 rd of the remaining left the party . at last 10 were remaining . how many people were in total ? \nOptions: a ) 45 , b ) 27 , c ) 28 , d ) 26 , e ) 75", "output": [ "e" ] }, { "id": "task1420-c061af0fd195461ba789fae78a199399", "input": "Problem: a big container is 35 % full with water . if 48 liters of water is added , the container becomes 3 / 4 full . what is the capacity of the big container in liters ? \nOptions: a ) 80 , b ) 90 , c ) 100 , d ) 110 , e ) 120", "output": [ "e" ] }, { "id": "task1420-ccfa2c5b24484b15a9348c7fc3ba00bc", "input": "Problem: buffalo gives 4 liter milk , cow gives ( 1 / 2 ) liter milk and goat gives 1 / 4 liter milk . you have to get 20 liter milk by 20 animals . what is the number of goats ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "b" ] }, { "id": "task1420-c25b5fe19e0742bb9da1d720fb0318ea", "input": "Problem: find the least number which when divided by 20,25 , 35,40 leaves remainder 14,19 , 29,34 respectively . \nOptions: a ) 1394 , b ) 1450 , c ) 1245 , d ) 2564 , e ) 1256", "output": [ "a" ] }, { "id": "task1420-82f0ef6bba9f4db39398390b4f3fadb7", "input": "Problem: andy solves problems 75 to 125 inclusive in a math exercise . how many problems does he solve ? \nOptions: a ) 53 , b ) 52 , c ) 51 , d ) 50 , e ) 49", "output": [ "c" ] }, { "id": "task1420-16157a32e355450c815fce1ce389dc36", "input": "Problem: there are 2 sections a and b in a class , consisting of 16 and 14 students respectively . if the average weight of section a is 20 kg and that of section b is 25 kg , find the average of the whole class ? \nOptions: a ) 33.5 kg , b ) 37.25 kg , c ) 42.45 kg , d ) 55.12 kg , e ) 29.78 kg", "output": [ "a" ] }, { "id": "task1420-db38f25b32974bf4bb8491e20758ae04", "input": "Problem: the greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively , is : \nOptions: a ) 123 , b ) 127 , c ) 235 , d ) 305 , e ) 505", "output": [ "b" ] }, { "id": "task1420-7319c72dae9d49a19cfa1b4b06e8e2aa", "input": "Problem: in a certain lottery , the probability that a number between 1 and 15 , inclusive , is drawn is 1 / 3 . if the probability that a number 1 or larger is drawn is 2 / 3 , what is the probability that a number less than or equal to 15 is drawn ? \nOptions: a ) 2 / 3 , b ) 1 / 3 , c ) 1 / 4 , d ) 1 / 6 , e ) 2 / 5", "output": [ "a" ] }, { "id": "task1420-d6d0d67bd2e5435986c8dc30c285f15d", "input": "Problem: an exam consists of 8 true / false questions . brian forgets to study , so he must guess blindly on each question . if any score above 90 % is a passing grade , what is the probability that brian passes ? \nOptions: a ) 1 / 16 , b ) 37 / 256 , c ) 1 / 2 , d ) 219 / 256 , e ) 15 / 16", "output": [ "e" ] }, { "id": "task1420-2112fcf1b84d43e59324e08887df461b", "input": "Problem: 5.02 can be expressed in terms of percentage as \nOptions: a ) 5.02 % , b ) 50.2 % , c ) 209 % , d ) 502 % , e ) none of these", "output": [ "d" ] }, { "id": "task1420-b23de7f3e9544ae8bbd0991c1d167d7d", "input": "Problem: the average age of students of a class is 15.8 years . the average age of boys in the class is 16.4 years and that of the girls is 15.6 years , the ratio of the number of boys to the number of girls in the class is \nOptions: a ) 7 : 3 , b ) 1 : 3 , c ) 9 : 3 , d ) 6 : 3 , e ) 2 : 5", "output": [ "b" ] }, { "id": "task1420-d47c0fdac0f243249f00c166c656e4b3", "input": "Problem: robert ' s salary was decreased by 40 % and subsequently increased by 40 % . how much percentage does he lose ? \nOptions: a ) 16 % , b ) 20 % , c ) 25 % , d ) 30 % , e ) 50 %", "output": [ "a" ] }, { "id": "task1420-c2bcf90bc1d74266bafe982cb64b9ab6", "input": "Problem: a library has an average of 510 visitors on sundays and 240 on other day . the average number of visitors in a month of 5 days starting with sunday is \nOptions: a ) 1215 , b ) 1314 , c ) 2900 , d ) 1710 , e ) 2750", "output": [ "d" ] }, { "id": "task1420-8478040554ee4c5bba9ffe3a899060b7", "input": "Problem: if 25 % of a number is equal to one - third of another number , what is the ratio of first number to the second number ? \nOptions: a ) 4 : 3 , b ) 1 : 4 , c ) 3 : 7 , d ) 6 : 11 , e ) 2 : 3", "output": [ "a" ] }, { "id": "task1420-d30045ad9cd04a5d8459a0a4a84b99ce", "input": "Problem: having scored 95 runs in the 19 th inning , a cricketer increases his average score by 4 . what will be his average score after 19 innings ? \nOptions: a ) 28 , b ) 27 , c ) 23 , d ) 22 , e ) 24", "output": [ "c" ] }, { "id": "task1420-1f6d4794e26b4948a913547b38575faf", "input": "Problem: 96 % of the population of a village is 23040 . the total population of the village is ? \nOptions: a ) 26799 , b ) 24000 , c ) 26682 , d ) 29973 , e ) 12312", "output": [ "b" ] }, { "id": "task1420-d25d8efba6c44696963f61d6657ce40d", "input": "Problem: [ ( 3.242 x 15 ) / 100 ] = ? \nOptions: a ) 0.045388 , b ) 4.5388 , c ) 453.88 , d ) 473.88 , e ) 0.04863", "output": [ "e" ] }, { "id": "task1420-c5cbc9df18e64947a8f459179623e67e", "input": "Problem: rahim bought 65 books for rs . 1150 from one shop and 50 books for rs . 920 from another . what is the average price he paid per book ? \nOptions: a ) rs . 17 , b ) rs . 18 , c ) rs . 12 , d ) rs . 11 , e ) rs . 10", "output": [ "b" ] }, { "id": "task1420-670c00066d0a4c6391c139688e397d8a", "input": "Problem: find the unknown term 8 , x , 62 , - 4 , - 12 \nOptions: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 9", "output": [ "d" ] }, { "id": "task1420-6863e75e96564e17acc6ffce49c6e709", "input": "Problem: if k is the greatest positive integer such that 3 ^ k is a divisor of 18 ! then k = \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 8", "output": [ "e" ] }, { "id": "task1420-91194c6903fc4a54b014c07942602c63", "input": "Problem: how many 3 digit positive integers q exist that when divided by 7 leave a remainder of 5 ? \nOptions: a ) 128 , b ) 142 , c ) 143 , d ) 141 , e ) 129", "output": [ "e" ] }, { "id": "task1420-b0e5804158894ef296110e08a70c6eff", "input": "Problem: if w is a positive integer and 10 ^ w – 74 in decimal notation has digits whose sum is 440 , what is the value of w ? \nOptions: a ) 40 , b ) 44 , c ) 45 , d ) 46 , e ) 50", "output": [ "e" ] }, { "id": "task1420-3ea9faf1ecf6492d8b40e6d799980599", "input": "Problem: the ratio between x and y is 8 / 3 ; x is multiplied by x and y is multiplied by y , what is the ratio between the new values of x and y ? \nOptions: a ) 8 / 3 , b ) 3 / 8 , c ) 1 , d ) 64 / 9 , e ) it can not be determined", "output": [ "a" ] }, { "id": "task1420-b11375f8c5ab4b49a595a9365cb3b551", "input": "Problem: mr . kramer , the losing candidate in a two - candidate election , received 942,568 votes , which was exactly 35 percent of all votes cast . approximately what percent of the remaining votes would he need to have received in order to have won at least 50 percent of all the votes cast ? \nOptions: a ) 10 % , b ) 12 % , c ) 15 % , d ) 17 % , e ) 23 %", "output": [ "e" ] }, { "id": "task1420-1919ba3fff25447782a6d09f059eb93f", "input": "Problem: how much water should be added to 12 liters of a 20 % - solution of alcohol to reduce the concentration of alcohol in the solution by 75 % ? \nOptions: a ) 28 liters , b ) 27 liters , c ) 30 liters , d ) 32 liters , e ) 35 liters", "output": [ "a" ] }, { "id": "task1420-0a97a717a8784e36b174490b38f3865b", "input": "Problem: mark bought a set of 6 flower pots of different sizes at a total cost of $ 8.25 . each pot cost 0.1 more than the next one below it in size . what was the cost , in dollars , of the largest pot ? \nOptions: a ) $ 1.62 , b ) $ 1.85 , c ) $ 2.00 , d ) $ 2.15 , e ) $ 2.30", "output": [ "a" ] }, { "id": "task1420-8932336a82f348e281b46fc872e7dc73", "input": "Problem: what is the remainder if 7 ^ 8 is divided by 100 ? \nOptions: a ) 7 , b ) 1 , c ) 9 , d ) 10 , e ) 11", "output": [ "b" ] }, { "id": "task1420-d387e8c7b725405584080a39e2b0ac8b", "input": "Problem: there are 79 people that own pets . 15 people own only dogs , 10 people own only cats , 5 people own only cats and dogs , 3 people own cats , dogs and snakes . how many total snakes are there ? \nOptions: a ) 2 , b ) 4 , c ) 8 , d ) 49 , e ) 32", "output": [ "d" ] }, { "id": "task1420-3bccc140b73a4d9481e5ad0bd91cbba8", "input": "Problem: a man is 26 years older than his son . in two years , his age will be twice the age of his son . what is the present age of his son ? \nOptions: a ) 23 years , b ) 22 years , c ) 24 years , d ) 20 years , e ) 19 years", "output": [ "c" ] }, { "id": "task1420-426307e3b09d4c9fbe1c3eadb3912e56", "input": "Problem: a certain meter records voltage between 0 and 10 volts inclusive . if the average value of 3 recordings on the meter was 4 volts , what was the smallest possible recording in volts ? \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6", "output": [ "a" ] }, { "id": "task1420-9960e9698b45456d953cfc48c34692ba", "input": "Problem: if x + y = 280 , x - y = 200 , for integers of x and y , y = ? \nOptions: a ) 200 , b ) 240 , c ) 50 , d ) 115 , e ) 150", "output": [ "b" ] }, { "id": "task1420-fd93df9ed0784a7e9cb596a9bc8109ac", "input": "Problem: how many positive integers less than 100 are neither multiples of 2 or 5 . \nOptions: a ) a ) 30 , b ) b ) 31 , c ) c ) 40 , d ) d ) 33 , e ) e ) 34", "output": [ "c" ] }, { "id": "task1420-7e28023d78894f2e91ad229fec1301f3", "input": "Problem: an engineer designed a ball so that when it was dropped , it rose with each bounce exactly one - half as high as it had fallen . the engineer dropped the ball from a 32 - meter platform and caught it after it had traveled 46.5 meters . how many times did the ball bounce ? \nOptions: a ) 4 , b ) 6 , c ) 7 , d ) 8 , e ) 9", "output": [ "a" ] }, { "id": "task1420-e359dbe7b86f439799d0bb0e9a57381d", "input": "Problem: find the average of all the numbers between 6 and 39 which are divisible by 5 ? \nOptions: a ) 10 , b ) 20 , c ) 25 , d ) 30 , e ) 23", "output": [ "e" ] }, { "id": "task1420-d3dcb422033e4bd9bc42c5160f5c22eb", "input": "Problem: find the principle on a certain sum of money at 5 % per annum for 3 1 / 5 years if the amount being rs . 1740 ? \nOptions: a ) rs . 1000 , b ) rs . 1550 , c ) rs . 1510 , d ) rs . 1500 , e ) none of these", "output": [ "d" ] }, { "id": "task1420-e33e0277d5c54baf8b55197411db6f9c", "input": "Problem: a certain no . when divided by 95 leaves a remainder 25 , what is the remainder if the same no . be divided by 15 ? \nOptions: a ) 3 , b ) 4 , c ) 6 , d ) 8 , e ) 9", "output": [ "d" ] }, { "id": "task1420-8f1edff85e4b4061a297767f65a9f52d", "input": "Problem: a paint store mixes 3 / 4 pint of red paint and 2 / 3 pint of white paint to make a new paint color called perfect pink . how many pints of red paint would be needed to make 33 pints of perfect pink paint ? \nOptions: a ) 9 , b ) 16 , c ) 17 , d ) 25 1 / 3 , e ) 28 1 / 2", "output": [ "c" ] }, { "id": "task1420-33d0fac56f334e2ab4ea0e3075cc6639", "input": "Problem: if n is a prime number greater than 5 , what is the remainder when n ^ 2 is divided by 23 ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 5", "output": [ "d" ] }, { "id": "task1420-a4c469eeccf54497b1c03f575cd5e031", "input": "Problem: mother , her daughter and her grand child weighs 160 kg . daughter and her daughter ( child ) weighs 60 kg . child is 1 / 5 th of her grand mother . what is the age of the daughter ? \nOptions: a ) 46 , b ) 47 , c ) 48 , d ) 49 , e ) 40", "output": [ "e" ] }, { "id": "task1420-980cc6bb82f74b6ba377e789a59f277d", "input": "Problem: at the beginning of a year , the owner of a jewel shop raised the price of all the jewels in his shop by x % and lowered them by x % . the price of one jewel after this up and down cycle reduced by rs . 100 . the owner carried out the same procedure after a month . after this second up - down cycle , the price of that jewel was rs . 2304 . find the original price of that jewel ( in rs . ) \nOptions: a ) 2500 , b ) 550 , c ) 2600 , d ) 2650 , e ) none of these", "output": [ "a" ] }, { "id": "task1420-b85addbdcc614c32a5145e749d520446", "input": "Problem: what is the range of all the roots of | x ^ 2 - 5 | = x ? \nOptions: a ) 4 , b ) 3 , c ) 2 , d ) 1 , e ) 0", "output": [ "a" ] }, { "id": "task1420-028aee8b49b9476dbe25deedc56bb211", "input": "Problem: in an election between two candidates a and b , the number of valid votes received by a exceeds those received by b by 15 % of the total number of votes polled . if 20 % of the votes polled were invalid and a total of 9720 votes were polled , then how many valid votes did b get ? \nOptions: a ) 1888 , b ) 2999 , c ) 3159 , d ) 2777 , e ) 2991", "output": [ "c" ] }, { "id": "task1420-d66f05125d2140fc95c41399174c3546", "input": "Problem: the price of a certain product increased by the same percent from 1960 to 1970 as from 1970 to 1980 . if its price of $ 1.20 in 1970 was 150 percent of its price in 1960 , what was its price in 1980 ? \nOptions: a ) $ 1.80 , b ) $ 2.00 , c ) $ 2.40 , d ) $ 2.70 , e ) $ 3.00", "output": [ "a" ] }, { "id": "task1420-eb17bdc0ad064c318822b7f1a9e9fdfa", "input": "Problem: if ( - 3 ) ^ ( 2 x ) = 3 ^ ( 12 - x ) and x is an integer , what is the value of x ? \nOptions: a ) 5 , b ) 4 , c ) 3 , d ) 2 , e ) 1", "output": [ "b" ] }, { "id": "task1420-94e0786a0db545cbac30ad505ba5ea49", "input": "Problem: if 18888 – n is divisible by 11 , and 0 < n < 11 , what is n ? \nOptions: a ) 1 , b ) 3 , c ) 5 , d ) 7 , e ) 9", "output": [ "a" ] }, { "id": "task1420-be3721ad150e4193adadafcd1c6b6026", "input": "Problem: if the price of a tv is first decreased by 10 % and then increased by 30 % , then the net change in the price will be : \nOptions: a ) 4 % increase , b ) 17 % increase , c ) 10 % decrease , d ) 6 % increase , e ) none of these", "output": [ "b" ] }, { "id": "task1420-7a051a6b455741dfae8b0603ec1f1eca", "input": "Problem: the average of 13 numbers is 60 . average of the first 7 of them is 56 and that of the last 7 is 61 . find the 8 th number ? \nOptions: a ) 39 , b ) 83 , c ) 45 , d ) 53 , e ) 64", "output": [ "a" ] }, { "id": "task1420-3037095a31804c7086fd8c7f60b3fa13", "input": "Problem: what is the smallest integer that is multiple of 8,7 and 20 \nOptions: a ) 141 , b ) 180 , c ) 130 , d ) 122 , e ) 280", "output": [ "e" ] }, { "id": "task1420-ac2626a83d834cbda814aefcd5501e52", "input": "Problem: if 3 < x < 6 < y < 10 , then what is the greatest possible positive integer difference of x and y ? \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "d" ] }, { "id": "task1420-c485ebfe86a641cf81c81f86d269aff8", "input": "Problem: how many 1 / 10 s are there in 37 1 / 2 ? \nOptions: a ) 375 , b ) 475 , c ) 500 , d ) 670 , e ) 700", "output": [ "a" ] }, { "id": "task1420-d6e09a4e17be4910a99b5157ccb163d5", "input": "Problem: positive integer y is 50 percent of 50 percent of positive integer x , and y percent of x equals 4 . what is the value of x ? \nOptions: a ) 40 , b ) 100 , c ) 200 , d ) 400 , e ) 600", "output": [ "a" ] }, { "id": "task1420-f65b8a0463434dba9fb0288c741c3682", "input": "Problem: the sum of ages of 5 children born at the intervals of 3 years each is 80 years . what is the age of the youngest child ? \nOptions: a ) 3 years , b ) 4 years , c ) 6 years , d ) 7 years , e ) 10 years", "output": [ "e" ] }, { "id": "task1420-921167880f6c49968513ed5b5b106437", "input": "Problem: find the slope of the line perpendicular to the line y = ( 1 / 3 ) x - 7 \nOptions: a ) - 1 , b ) - 4 , c ) - 3 , d ) 0 , e ) - 5", "output": [ "c" ] }, { "id": "task1420-0cb3abee8d224e4280ad3348b9c9cb01", "input": "Problem: the average ( arithmetic mean ) of the 5 positive integers k , m , r , s , and t is 12 , and k < m < r < s < t . if t is 20 , what is the greatest possible value of the median of the 5 integers ? \nOptions: a ) 16 , b ) 18 , c ) 19 , d ) 20 , e ) 22", "output": [ "d" ] }, { "id": "task1420-43cd0441e9ea4bbdb402f4773ff017d4", "input": "Problem: a furniture store owner decided to drop the price of her recliners by 20 % to spur business . by the end of the week she had sold 40 % more recliners . what is the percentage increase of the gross ? \nOptions: a ) 10 % , b ) 15 % , c ) 11.2 % , d ) 7 % , e ) 13 %", "output": [ "c" ] }, { "id": "task1420-98762d834c304b45ac26694da87c5f49", "input": "Problem: how many positive integers less than 70 have a reminder 01 when divided by 3 ? \nOptions: a ) 13 , b ) 24 , c ) 35 , d ) 16 , e ) 17", "output": [ "b" ] }, { "id": "task1420-d2bf07fb66ad46c2ab4fd1b0c6523225", "input": "Problem: find the mean proportional between 64 & 81 ? \nOptions: a ) a ) 59 , b ) b ) 61 , c ) c ) 63 , d ) d ) 72 , e ) e ) 67", "output": [ "d" ] }, { "id": "task1420-183af610098f48d985c289bad5cab01d", "input": "Problem: a project scheduled to be carried out over a single fiscal year has a budget of $ 12600 , divided into 12 equal monthly allocations . at the end of the sixth month of that fiscal year , the total amount actually spent on the project was $ 6580 . by how much was the project over its budget ? \nOptions: a ) $ 380 , b ) $ 540 , c ) $ 280 , d ) $ 1380 , e ) $ 1430", "output": [ "c" ] }, { "id": "task1420-bbc0df1bd20c465e86015fd70ead2b4f", "input": "Problem: the average ( arithmetic mean ) of the 5 positive integers k , m , r , s , and t is 16 , and k < m < r < s < t . if t is 30 , what is the greatest possible value of the median of the 5 integers ? \nOptions: a ) 16 , b ) 18 , c ) 19 , d ) 20 , e ) 28", "output": [ "e" ] }, { "id": "task1420-996861d71e144846b344b3d699e17aeb", "input": "Problem: in a group of 130 people , 90 have an age of more 30 years , and the others have an age of less than 20 years . if a person is selected at random from this group , what is the probability the person ' s age is less than 20 ? \nOptions: a ) 0.31 , b ) 0.55 , c ) 0.65 , d ) 0.75 , e ) 0.85", "output": [ "a" ] }, { "id": "task1420-1c956fffe64a42b6a2c26f4afdb2b634", "input": "Problem: a worker ' s take - home pay last year was the same each month , and she saved the same fraction of her take - home pay each month . the total amount of money that she had saved at the end of the year was 6 times the amount of that portion of her monthly take - home pay that she did not save . if all the money that she saved last year was from her take - home pay , what fraction of her take - home pay did she save each month ? \nOptions: a ) 1 / 6 , b ) 1 / 5 , c ) 1 / 4 , d ) 1 / 3 , e ) 1 / 2", "output": [ "d" ] }, { "id": "task1420-65a2054729624f58b63727d48f7bf947", "input": "Problem: in august , a cricket team that played 120 matches won 20 % of the games it played . after a continuous winning streak , this team raised its average to 52 % . how many matches did the team win to attain this average ? \nOptions: a ) 40 , b ) 52 , c ) 68 , d ) 80 , e ) 98", "output": [ "d" ] }, { "id": "task1420-7a07960e110f4fb682077aebf0ecc4e7", "input": "Problem: if â € œ * â €  is called â € œ + â €  , â € œ / â €  is called â € œ * â €  , â € œ - â €  is called â € œ / â €  , â € œ + â €  is called â € œ - â €  . 240 * 80 / 60 + 40 / 10 = ? \nOptions: a ) - 2305 , b ) - 2407 , c ) 2509 , d ) - 2101 , e ) none of these", "output": [ "b" ] }, { "id": "task1420-b2547b288f454a0485f2f331379a4ce9", "input": "Problem: the mean of 50 observations was 36 . it was found later that an observation 90 was wrongly taken as 23 . the corrected new mean is ? \nOptions: a ) 37.3 , b ) 36.1 , c ) 36.5 , d ) 36.9 , e ) 36.3", "output": [ "a" ] }, { "id": "task1420-a0caf2fee51a47d094916ddd830cef93", "input": "Problem: the sum of digits of a two digit number is 8 , the difference between the digits is 6 . find the number \nOptions: a ) 85 , b ) 94 , c ) 83 , d ) 71 , e ) none", "output": [ "d" ] }, { "id": "task1420-ac65380ad7294b4ca0da554d857c33e7", "input": "Problem: if the function q is defined by the formula q = 5 w / ( 4 m ( z ^ 2 ) ) , by what factor will q be multiplied if w is quadrupled , m is doubled , and z is tripled ? \nOptions: a ) 1 / 9 , b ) 2 / 9 , c ) 4 / 9 , d ) 3 / 9 , e ) 2 / 27", "output": [ "b" ] }, { "id": "task1420-ec25976d25b848a4a7b92e7770898f8f", "input": "Problem: in how many ways can the integer 15 be expressed as a product of two different positive integers ? \nOptions: a ) 10 , b ) 8 , c ) 5 , d ) 4 , e ) 2", "output": [ "e" ] }, { "id": "task1420-46de507a67c24aa19b6715740d8c79ff", "input": "Problem: 2 ^ 8 × 39 + 31 = ? \nOptions: a ) 34545 , b ) 65657 , c ) 65567 , d ) 45677 , e ) 56782", "output": [ "c" ] }, { "id": "task1420-48caebb4819e48cd8992867ec4f689aa", "input": "Problem: how many 4 - digit positive integers are there in which all 4 digits are even ? \nOptions: a ) 625 , b ) 600 , c ) 500 , d ) 400 , e ) 256", "output": [ "c" ] }, { "id": "task1420-cd84c17b52474e0e9682742859b18c98", "input": "Problem: the batting average of a particular batsman is 63 runs in 46 innings . if the difference in his highest and lowest score is 150 runs and his average excluding these two innings is 58 runs , find his highest score . \nOptions: a ) 179 , b ) 208 , c ) 210 , d ) 223 , e ) 248", "output": [ "e" ] }, { "id": "task1420-18b1fd1a0122463484b71b37e1c03672", "input": "Problem: two employees x and y are paid a total of rs . 528 per week by their employer . if x is paid 120 percent of the sum paid to y , how much is y paid per week ? \nOptions: a ) s . 250 , b ) s . 280 , c ) s . 290 , d ) s . 299 , e ) s . 240", "output": [ "e" ] }, { "id": "task1420-eaa82b9ae91b4cf09d4ad83ef85900a7", "input": "Problem: if the number is divided by 3 , it reduced by 48 . the number is \nOptions: a ) a ) 51 , b ) b ) 50 , c ) c ) 45 , d ) d ) 72 , e ) e ) 36", "output": [ "d" ] }, { "id": "task1420-40d1bd024a4b4728978876af09b23a27", "input": "Problem: if m and n are positive integers and m ^ 2 + n ^ 2 = 20 , what is the value of m ^ 3 + n ^ 3 ? \nOptions: a ) 72 , b ) 224 , c ) 320 , d ) 512 , e ) 1,600", "output": [ "a" ] }, { "id": "task1420-1c864b955b8347c5b7d23710eb306e6c", "input": "Problem: on the number line , if x is halfway between - 8 and 4 , and if y is halfway between - 2 and 6 , what number is halfway between x and y ? \nOptions: a ) - 2 , b ) - 1 , c ) 0 , d ) 1 , e ) 2", "output": [ "c" ] }, { "id": "task1420-62c51535b58840a381bd1d0a51f809a5", "input": "Problem: a recipe requires 2 1 / 2 ( mixed number ) cups of flour 2 3 / 4 ( mixed number ) cups of sugar and 1 1 / 3 ( mixed number ) cups of milk to make one cake . victor has 15 cups if flour , 16 cups of sugar and 8 cups of milk . what is the greatest number of cakes william can make using this recipe ? \nOptions: a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 9", "output": [ "a" ] }, { "id": "task1420-8f50c6d37c184610a32897c72e7c8f99", "input": "Problem: the function f ( n ) is defined as the product of all the consecutive positive integers between 1 and n ^ 2 , inclusive , whereas the function g ( n ) is defined as the product of the squares of all the consecutive positive integers between 1 and n , inclusive . the exponent on 3 in the prime factorization of f ( 3 ) / g ( 3 ) is \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "a" ] }, { "id": "task1420-b58b9590c21b4509859859c91fa71e21", "input": "Problem: for any integer n greater than 1 , n * denotes the product of all the integers from 1 to n , inclusive . how many prime numbers e are there between 6 * + 2 and 6 * + 6 , inclusive ? \nOptions: a ) none , b ) one , c ) two , d ) three , e ) four", "output": [ "a" ] }, { "id": "task1420-582e4dd127e94e10a7f8f5fdf0cf0884", "input": "Problem: the average weight of 19 students is 15 kg . by the admission of a new student the average weight is reduced to 14.6 kg . the weight of the new student is ? \nOptions: a ) 10.6 kg , b ) 10.8 kg , c ) 7 kg , d ) 14.9 kg , e ) none", "output": [ "c" ] }, { "id": "task1420-8496025e89d74a00b30fcf3391e2c09e", "input": "Problem: excluding stoppages , the average speed of a bus is 120 km / hr and including stoppages , the average speed of the bus is 40 km / hr . for how many minutes does the bus stop per hour ? \nOptions: a ) 15 min , b ) 18 min , c ) 16 min , d ) 20 min , e ) 40 min", "output": [ "e" ] }, { "id": "task1420-7e56c5021dce49148f8d610a132986ae", "input": "Problem: what is the remainder when 1271 * 1275 * 1277 * 1285 is divided by 12 ? \nOptions: a ) 0 , b ) 1 , c ) 11 , d ) 9 , e ) 7", "output": [ "d" ] }, { "id": "task1420-89a4e7f5b825477b9ce126c1ebe18784", "input": "Problem: the average mark of the students of a class in a particular exam is 90 . if 2 students whose average mark in that exam is 45 are excluded , the average mark of the remaining will be 95 . find the number of students who wrote the exam ? \nOptions: a ) 10 , b ) 40 , c ) 20 , d ) 30 , e ) 25", "output": [ "c" ] }, { "id": "task1420-53b30d7b3e1f4f05b0aa765ddfb6e657", "input": "Problem: if a ' s height is 40 % less than that of b , how much percent b ' s height is more than that of a ? \nOptions: a ) 66.66 % , b ) 66.68 % , c ) 66.766 % , d ) 86.66 % , e ) 66.65 %", "output": [ "a" ] }, { "id": "task1420-be100d3b94c145b583bacbc288899a6d", "input": "Problem: how many different pairs of positive integers ( a , b ) satisfy the equation 1 / a + 1 / b = 30 / 51 ? \nOptions: a ) 6 , b ) 3 , c ) 2 , d ) 1 , e ) 0", "output": [ "d" ] }, { "id": "task1420-907dc26711dd4cdd9ed1707be0e3ab61", "input": "Problem: if 4 x = 8 y = 12 z , then what is a possible sum of positive integers x , y , and z ? \nOptions: a ) 52 , b ) 58 , c ) 84 , d ) 122 , e ) 180", "output": [ "e" ] }, { "id": "task1420-d9786e7db2204685a8f974db193d4e17", "input": "Problem: a group of n students can be divided into equal groups of 3 with 1 student left over or equal groups of 6 with 1 students left over . what is the sum of the two smallest possible values of n ? \nOptions: a ) 33 , b ) 46 , c ) 49 , d ) 53 , e ) 86", "output": [ "e" ] }, { "id": "task1420-f6578f1926c04abca7dd668ae3975dc2", "input": "Problem: on a race track a maximum of 5 horses can race together at a time . there are a total of 25 horses . there is no way of timing the races . what is the minimum number w of races we need to conduct to get the top 3 fastest horses ? \nOptions: a ) 5 , b ) 7 , c ) 8 , d ) 10 , e ) 11", "output": [ "b" ] }, { "id": "task1420-c15bb338b8194e6f987958634bc20f6f", "input": "Problem: the average age of 42 students in a group is 16 years . when teacher â € ™ s age is included to it , the average increases by one . what is the teacher â € ™ s age in years ? \nOptions: a ) 31 , b ) 56 , c ) 41 , d ) 59 , e ) none", "output": [ "d" ] }, { "id": "task1420-07dba015a63a4e5c8e84f4a766faa258", "input": "Problem: a man has some hens and cows . if the number of heads be 46 and the number of feet equals 140 , then the number of hens will be : \nOptions: a ) 22 , b ) 23 , c ) 24 , d ) 26 , e ) 28", "output": [ "a" ] }, { "id": "task1420-9b3f91d518a3406aba9fd38a8f4f9d06", "input": "Problem: hammers and wrenches are manufactured at a uniform weight per hammer and a uniform weight per wrench . if the total weight of 1 hammers and three wrenches is one - third that of 8 hammers and 5 wrenches , then the total weight of one wrench is how many times that of one hammer ? \nOptions: a ) 1 / 2 , b ) 2 / 3 , c ) 1 , d ) 5 / 4 , e ) 2", "output": [ "d" ] }, { "id": "task1420-d47afaf6fcec4d93983ca828c7d10775", "input": "Problem: what is the greatest value of positive integer x such that 2 ^ x is a factor of 100 ^ 50 ? \nOptions: a ) 70 , b ) 80 , c ) 90 , d ) 100 , e ) 120", "output": [ "d" ] }, { "id": "task1420-1a8d59dfaea9415d8746ac1f445e568c", "input": "Problem: what is the dividend . divisor 18 , the quotient is 9 and the remainder is 4 \nOptions: a ) a ) 166 , b ) b ) 148 , c ) c ) 150 , d ) d ) 153 , e ) e ) 158", "output": [ "a" ] }, { "id": "task1420-1c75d81ffcd14128ba22488e924dbd00", "input": "Problem: if the remainder is 12 when the integer n is divided by 22 , what is the remainder when 2 n is divided by 11 ? \nOptions: a ) 0 , b ) 2 , c ) 3 , d ) 6 , e ) 7", "output": [ "b" ] }, { "id": "task1420-bdacc64743184ef3b6d47f05045d1325", "input": "Problem: when greenville state university decided to move its fine arts collection to a new library , it had to package the collection in 20 - inch by 20 - inch by 15 - inch boxes . if the university pays $ 1.30 for every box , and if the university needs 3.06 million cubic inches to package the collection , what is the minimum amount the university must spend on boxes ? \nOptions: a ) $ 255 , b ) $ 275 , c ) $ 510 , d ) $ 1,250 , e ) $ 663", "output": [ "e" ] }, { "id": "task1420-da2ace0b08324323a3600e68a14243bd", "input": "Problem: what is the remainder when the number y = 14 ^ 2 * 15 ^ 8 is divided by 5 ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 4 , e ) 5", "output": [ "a" ] }, { "id": "task1420-bd13975f5fd04b878fc02d14d39253cc", "input": "Problem: if | 5 x - 25 | = 100 , then find the sum of the values of x ? \nOptions: a ) 1 , b ) - 2 , c ) 10 , d ) - 3 , e ) 4", "output": [ "c" ] }, { "id": "task1420-6cc7e822b5a94c15a261087fc8a36988", "input": "Problem: we run a business that rents out canoes and kayaks . a canoe rental costs $ 9 per day , and a kayak rental costs $ 12 dollars per day . one day , our business rents out 4 canoes for every 3 kayaks and receives a total of $ 432 in revenue . how many more canoes than kayaks were rented out ? \nOptions: a ) 10 , b ) 9 , c ) 8 , d ) 7 , e ) 6", "output": [ "e" ] }, { "id": "task1420-7f454ac3d2f1456caff37c7f130843b0", "input": "Problem: if a ã — b = 2 a - 3 b + ab , then 3 ã — 2 + 2 ã — 3 is equal to : \nOptions: a ) 7 , b ) 8 , c ) 9 , d ) 25 , e ) 26", "output": [ "a" ] }, { "id": "task1420-3dbb8f44a9f8422fbd1cc8075e713788", "input": "Problem: find the average of first 4 multiples of 8 ? \nOptions: a ) 20 , b ) 12.6 , c ) 22.5 , d ) 31.3 , e ) 40.8", "output": [ "a" ] }, { "id": "task1420-0762cf8a052a4212bdf0f0ac2be3566a", "input": "Problem: a batsman makes a score of 86 runs in the 17 th inning and thus increases his averages by 3 . find his average after 17 th inning ? \nOptions: a ) 19 , b ) 29 , c ) 38 , d ) 49 , e ) 59", "output": [ "c" ] }, { "id": "task1420-943fe9ccdbaa413eb52e880ae2657e77", "input": "Problem: a father said his son , ` ` i was as old as you are at present at the time of your birth . ` ` if the father age is 62 now , the son age 5 years back was \nOptions: a ) 14 , b ) 17 , c ) 11 , d ) 19 , e ) 26", "output": [ "e" ] }, { "id": "task1420-8df9769ba5904d999b9c0ddb5c110cc7", "input": "Problem: the sum of the average ( arithmetic mean ) of the even integers from 0 to 100 inclusive and the average ( arithmetic mean ) of the even integers from 0 to 50 inclusive ? \nOptions: a ) 15 , b ) 125 , c ) 25 , d ) 75 , e ) 50", "output": [ "d" ] }, { "id": "task1420-89b9d77d307b4874a9ac1da348dc3056", "input": "Problem: ( 4300231 ) - ? = 2535618 \nOptions: a ) 1865113 , b ) 1775123 , c ) 1764613 , d ) 1675123 , e ) none of them", "output": [ "c" ] }, { "id": "task1420-33957c2c5e224cc8991f218d1616fa12", "input": "Problem: if a person walks at 25 km / hr instead of 10 km / hr , he would have walked 20 km more . the actual distance traveled by him is : \nOptions: a ) 50 km , b ) 56 km , c ) 13.3 km , d ) 70 km , e ) 80 km", "output": [ "c" ] }, { "id": "task1420-b7b4b24de2be4209868323a722c5d006", "input": "Problem: in may mrs lee ' s earnings were 30 percent of the lee family ' s total income . in june mrs lee earned 20 percent more than in may . if the rest of the family ' s income was the same both months , then , in june , mrs lee ' s earnings were approximately what percent of the lee family ' s total income ? \nOptions: a ) 34 , b ) 67 , c ) 85 , d ) 25 , e ) 38", "output": [ "a" ] }, { "id": "task1420-ea7ba60108d145899fd9e90f7b3c8898", "input": "Problem: the events a and b are independent , the probability that event a occurs is greater than 0 , and the probability that event a occurs is twice the probability that event b occurs . the probability that at least one of events a and b occurs is 12 times the probability that both events a and b occur . what is the probability that event a occurs ? \nOptions: a ) 21 / 26 , b ) 25 / 26 , c ) 11 / 26 , d ) 6 / 26 , e ) 22 / 33", "output": [ "d" ] }, { "id": "task1420-30459d140039448b9b1c78ee99e1db12", "input": "Problem: 10 % people of a village in sri lanka died by bombardment , 20 % of the remainder left the village on account of fear . if now the population is reduced to 3312 , how much was it in the beginning ? \nOptions: a ) a ) 3800 , b ) b ) 4200 , c ) c ) 4400 , d ) d ) 4500 , e ) e ) 4600", "output": [ "e" ] }, { "id": "task1420-e754137404f54c42a55a5edfe4733dac", "input": "Problem: on dividing 12401 by a certain number , we get 76 as quotient and 13 as remainder . what is the divisor ? \nOptions: a ) 163 , b ) 785 , c ) 852 , d ) 456 , e ) 852", "output": [ "a" ] }, { "id": "task1420-3f66a0f5415347a6afc0ae5d7e3a9b89", "input": "Problem: simplify : 256 x 256 - 144 x 144 \nOptions: a ) 761200 , b ) 44800 , c ) 761800 , d ) 761500 , e ) none of them", "output": [ "b" ] }, { "id": "task1420-278e84480bf24775879a1a760b54a123", "input": "Problem: the ratio of expenditure and savings is 3 : 2 . if the income increases by 15 % and the savings increases by 6 % , then by how much percent should his expenditure increases ? \nOptions: a ) 22 , b ) 21 , c ) 88 , d ) 76 , e ) 29", "output": [ "b" ] }, { "id": "task1420-ffffa8e9fb8e48e3becac5b3405fb8d9", "input": "Problem: # 88 a necklace is made by stringing q no individual beads together in the repeating pattern red bead , green bead , white bead , blue bead , and yellow bead . if the necklace design begins with a red bead and ends with a white bead , then q could equal \nOptions: a ) 16 , b ) 28 , c ) 41 , d ) 54 , e ) 65", "output": [ "b" ] }, { "id": "task1420-7adca582d7d2459693af1271fdc76ba8", "input": "Problem: if ( 5 + k ) ( 5 - k ) = ( 5 ^ 2 ) - ( 2 ^ 3 ) , then what is the value of k ? \nOptions: a ) 1 , b ) 3 , c ) 4 , d ) 2 , e ) 6", "output": [ "d" ] }, { "id": "task1420-025fd09021a34a458d77233b57b95049", "input": "Problem: laura took out a charge account at the general store and agreed to pay 5 % simple annual interest . if she charges $ 35 on her account in january , how much will she owe a year later , assuming she does not make any additional charges or payments ? \nOptions: a ) $ 2.10 , b ) $ 36.75 , c ) $ 37.16 , d ) $ 38.10 , e ) $ 38.80", "output": [ "b" ] }, { "id": "task1420-8dab0797a4594aa7bacc3d6c64cf3447", "input": "Problem: what is the sum r of all 3 digit numbers that leave a remainder of ' 2 ' when divided by 3 ? \nOptions: a ) 897 , b ) 164850 , c ) 164749 , d ) 149700 , e ) 156720", "output": [ "b" ] }, { "id": "task1420-df1c08b345514d0ba6a237351f1ab6ed", "input": "Problem: ( 18 ) 7 x ( 5832 ) - 2 ÷ ( 324 ) - 1 = ( 18 ) 7 \nOptions: a ) 5 , b ) 4 , c ) 3 , d ) 2 , e ) 1", "output": [ "c" ] }, { "id": "task1420-782889578399492abd6ba53921125a1f", "input": "Problem: 23 × 19 × ? ÷ 19 ÷ 17 = 115 \nOptions: a ) 65 , b ) 75 , c ) 85 , d ) 95 , e ) 45", "output": [ "c" ] }, { "id": "task1420-490de560dafb4ca684413bd333f8afc6", "input": "Problem: albert father was 48 years of age when she was born while her mother was 46 years old when her brother 2 years younger to her was born . what is the difference between the ages of her parents ? \nOptions: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 10", "output": [ "b" ] }, { "id": "task1420-9be1c0c0c8454093990e5884d67c9f40", "input": "Problem: the average monthly income of p and q is rs . 2050 . the average monthly income of q and r is rs . 5250 and the average monthly income of p and r is rs . 6200 . the monthly income of r is : \nOptions: a ) 5100 , b ) 4900 , c ) 9400 , d ) 1500 , e ) 3200", "output": [ "c" ] }, { "id": "task1420-792c266c87b546c1b5553cf0c79d0183", "input": "Problem: i . x + 2 y + 3 z = 2 ii . x + y - z = 0 iii . 2 x + 2 y - z = 1 what is the value of y in the system above ? \nOptions: a ) - 2 , b ) - 1 , c ) 0 , d ) 1 , e ) 2", "output": [ "a" ] }, { "id": "task1420-8438a84ca8c74e69a3e9e150db69486e", "input": "Problem: the average age of 19 persons in a office is 15 years . out of these , the average age of 5 of them is 14 years and that of the other 9 persons is 16 years . the age of the 15 th person is ? \nOptions: a ) 9 , b ) 71 , c ) 85 , d ) 92 , e ) 90", "output": [ "b" ] }, { "id": "task1420-7fa4bd6c1d15438999519ed8e2f31e5d", "input": "Problem: when a random experiment is conducted , the probability that event a occurs is 1 / 4 . if the random experiment is conducted 4 independent times , what is the probability that event a occurs exactly twice ? \nOptions: a ) 14 / 65 , b ) 27 / 128 , c ) 33 / 140 , d ) 37 / 165 , e ) 41 / 187", "output": [ "b" ] }, { "id": "task1420-9927490aee1d4c82ad7bed0f2105cedf", "input": "Problem: ( √ 112 + √ 567 ) / √ 175 = ? \nOptions: a ) 2 √ 2 , b ) 13 / 5 , c ) 3 √ 2 , d ) 3 √ 3 , e ) √ 2", "output": [ "b" ] }, { "id": "task1420-9ecb91d3feec4abfa78026f733c3e624", "input": "Problem: in the graduating class of a certain college , 48 percent of the students are male and 52 percent are female . in this class 40 percent of the male and 20 percent of the female students are 25 years old or older . if one student in the class is randomly selected , approximately what is the probability that he or she will be less than 25 years old ? \nOptions: a ) 0.9 , b ) 0.7 , c ) 0.45 , d ) 0.3 , e ) 0.25", "output": [ "b" ] }, { "id": "task1420-5c7bb322db5a4b1dbab41dcaa358cdf0", "input": "Problem: every disk in a bag is either blue , yellow or green . the ratio of blue disks to yellow disks to green disks in this bag is 3 : 7 : 8 . if the total number of disks in the bag is 72 , how many more green disks than blue disks are in the bag ? \nOptions: a ) 20 , b ) 28 , c ) 30 , d ) 35 , e ) 40", "output": [ "a" ] }, { "id": "task1420-2fc63c0641ac4bcbb25f68c9096dd376", "input": "Problem: in a group of ducks and cows , the total number of legs are 22 more than twice the no . of heads . find the total no . of buffaloes . \nOptions: a ) 11 , b ) 12 , c ) 13 , d ) 15 , e ) 16", "output": [ "a" ] }, { "id": "task1420-0395da0c2656402eb03b6808222f3458", "input": "Problem: find the remainder of the division ( 2 ^ 14 ) / 7 . \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "d" ] }, { "id": "task1420-2554f1ab5d3d41acb140a0b4e16271db", "input": "Problem: working alone , printers x , y , and z can do a certain printing job , consisting of a large number of pages , in 16 , 10 , and 20 hours , respectively . what is the ratio of the time it takes printer x to do the job , working alone at its rate , to the time it takes printers y and z to do the job , working together at their individual rates ? \nOptions: a ) 7 / 4 , b ) 10 / 3 , c ) 12 / 5 , d ) 15 / 7 , e ) 18 / 11", "output": [ "c" ] }, { "id": "task1420-64c881a61eaf48e8b8696a67276d5b34", "input": "Problem: how many positive integers between 1 and 300 are there such that they are multiples of 21 ? \nOptions: a ) 14 , b ) 16 , c ) 17 , d ) 13 , e ) 15", "output": [ "a" ] }, { "id": "task1420-b9322781568c464c8edc3fe5cb2355ca", "input": "Problem: what is the units digit of ( 493 ) ( 915 ) ( 381 ) ( 756 ) \nOptions: a ) 0 , b ) 1 , c ) 4 , d ) 5 , e ) 6", "output": [ "c" ] }, { "id": "task1420-969f78b51e4b4feabc8783fa99300d23", "input": "Problem: what is the smallest integer that satisfies the inequality ( ( x - 3 ) / ( x ^ 2 - 8 x - 20 ) ) > 0 ? \nOptions: a ) - 2 , b ) 10 , c ) - 1 , d ) 3 , e ) 0", "output": [ "c" ] }, { "id": "task1420-90668912ff6b4adc8082476be4a3cdc7", "input": "Problem: a , b and c have rs . 500 between them , a and c together have rs . 200 and b and c rs . 350 . how much does c have ? \nOptions: a ) 50 , b ) 88 , c ) 77 , d ) 66 , e ) 51", "output": [ "a" ] }, { "id": "task1420-14f94bed56f64a2993d68df71f23b7b5", "input": "Problem: what is the ratio of 3 / 7 to the product 2 * ( 7 / 3 ) ? \nOptions: a ) 3 : 7 , b ) 9 : 98 , c ) 3 : 21 , d ) 1 : 7 , e ) 3 : 49", "output": [ "b" ] }, { "id": "task1420-6da54eea1aff432e86f2660e43b763c7", "input": "Problem: mike took a taxi to the airport and paid $ 2.50 to start plus $ 0.25 per mile . annie took a different route to the airport and paid $ 2.50 plus $ 5.00 in bridge toll fees plus $ 0.25 per mile . if each was charged exactly the same amount , and annie ' s ride was 16 miles , how many miles was mike ' s ride ? \nOptions: a ) 32 , b ) 36 , c ) 40 , d ) 44 , e ) 48", "output": [ "b" ] }, { "id": "task1420-07af0fafc36648e6adf5e9f34dfb4fac", "input": "Problem: a straight line in the xy - plane has a slope of 4 and a y - intercept of 4 . on this line , what is the x - coordinate of the point whose y - coordinate is 800 ? \nOptions: a ) 233 , b ) 299 , c ) 333 , d ) 199 , e ) 339", "output": [ "d" ] }, { "id": "task1420-aee10442398042e382b50af5aadd2994", "input": "Problem: in a survey of parents , exactly 7 / 8 of the mothers and 3 / 4 of the fathers held full - time jobs . if 60 percent of the parents surveyed were women , what percent of the parents did not hold full - time jobs ? \nOptions: a ) 25.5 % , b ) 21.5 % , c ) 17.5 % , d ) 13.5 % , e ) 9.5 %", "output": [ "c" ] }, { "id": "task1420-7ea1d384942e49b3a273c104742e8128", "input": "Problem: if a * b = 2 a - 3 b + ab , then 3 * 5 + 5 * 3 is equal to : \nOptions: a ) 22 , b ) 37 , c ) 38 , d ) 398 , e ) 72", "output": [ "a" ] }, { "id": "task1420-379d34c88c684fb484c604ecf3e85b6c", "input": "Problem: when positive integer k is divided by 5 , the remainder is 2 . when k is divided by 6 , the remainder is 5 . if k is less than 39 , what is the remainder when k is divided by 7 ? \nOptions: a ) 4 , b ) 5 , c ) 6 , d ) 3 , e ) 7", "output": [ "d" ] }, { "id": "task1420-ead23ba0dd6441e481f0de7ffd43f4b5", "input": "Problem: a certain basketball team that has played 2 / 3 of its games has a record of 15 wins and 5 losses . what is the greatest number of the remaining games that the team can lose and still win at least 3 / 4 of all of its games ? \nOptions: a ) 7 , b ) 6 , c ) 5 , d ) 4 , e ) 2", "output": [ "e" ] }, { "id": "task1420-86ade4d35536495b8536ce5d97b45c1c", "input": "Problem: given that 268 * 74 = 19832 , find the values of 2.68 * 0.74 . \nOptions: a ) 1.9328 , b ) 1.9832 , c ) 1.9823 , d ) 1.9382 , e ) none of them", "output": [ "b" ] }, { "id": "task1420-6138a73463284d458e834b5feba5cd35", "input": "Problem: two sets of 3 consecutive positive integers have exactly one integer in common . the sum of the integers in the set with greater numbers is how much greater than the sum of the integers in the other set ? \nOptions: a ) 4 , b ) 7 , c ) 6 , d ) 12 , e ) it can not be determined from the information given .", "output": [ "c" ] }, { "id": "task1420-18bb36413bea4bf6bc87f520996abe73", "input": "Problem: what is the average ( arithmetic mean ) of the numbers 15 , 16 , 17 , 17 , 18 , and 19 ? \nOptions: a ) 14.2 , b ) 16.5 , c ) 17 , d ) 17.5 , e ) 18", "output": [ "c" ] }, { "id": "task1420-0bab3ecc9b4d4c8c8032308bd0b73c54", "input": "Problem: at the wholesale store you can buy an 8 - pack of hot dogs for $ 1.55 , a 20 - pack for $ 3.05 , and a 250 - pack for $ 22.95 . what is the greatest number of hot dogs you can buy at this store with $ 300 ? \nOptions: a ) 3,108 , b ) 3,100 , c ) 3,108 , d ) 3,124 , e ) 3,250", "output": [ "e" ] }, { "id": "task1420-f8df980832b546b29dbaa23966c1f47b", "input": "Problem: in a can , there is a mixture of milk and water in the ratio 3 : 2 . if the can is filled with an additional 6 liters of milk , the can would be full and the ratio of milk and water would become 2 : 1 . find the capacity of the can ? \nOptions: a ) 36 , b ) 34 , c ) 32 , d ) 30 , e ) 28", "output": [ "a" ] }, { "id": "task1420-24f30efb89454b48a8b15864870f59c3", "input": "Problem: how many paying stones , each measuring 2 1 / 2 m * 2 m are required to pave a rectangular court yard 40 m long and 16 1 / 2 m board ? \nOptions: a ) 99 , b ) 132 , c ) 16 , d ) 10 , e ) 15", "output": [ "b" ] }, { "id": "task1420-e5da79229f294a43939785db16eef95c", "input": "Problem: average age of 7 members of a family is 29 years . if present age of the youngest member is 5 year , find average age of the remaining members at the time of birth of the youngest member . \nOptions: a ) 28 , b ) 37 , c ) 29 , d ) 237 , e ) 212", "output": [ "a" ] }, { "id": "task1420-fd14c7334a324d7f83e3cd09e07eca18", "input": "Problem: a bowl contains equal numbers of red , orange , green , blue , and yellow candies . kaz eats all of the green candies and half of the orange ones . next , he eats half of the remaining pieces of each color . finally , he eats red and yellow candies in equal proportions until the total number of remaining candies of all colors equals 30 % of the original number . what percent of the red candies remain ? \nOptions: a ) 22.5 % , b ) 31.5 % , c ) 37.5 % , d ) 42.5 % , e ) 46.5 %", "output": [ "c" ] }, { "id": "task1420-b20e83b97f464cef9c05d2387215471e", "input": "Problem: what is 10 - 8 + 6 - 4 + . . . + ( - 10 ) ? \nOptions: a ) 0 , b ) 5 , c ) 2 , d ) 14 , e ) 16", "output": [ "a" ] }, { "id": "task1420-08703c2a42fc46b29ba806695244d878", "input": "Problem: jerry ’ s average ( arithmetic mean ) score on the first 3 of 4 tests is 81 . if jerry wants to raise his average by 2 points , what score must he earn on the fourth test ? \nOptions: a ) 87 , b ) 89 , c ) 90 , d ) 93 , e ) 95", "output": [ "b" ] }, { "id": "task1420-d7f625fb161d493c95b574a5674f5d5c", "input": "Problem: find large no . from below question the difference of two numbers is 1365 . on dividing the larger number by the smaller , we get 6 as quotient and the 10 as remainder \nOptions: a ) 1235 , b ) 1456 , c ) 1567 , d ) 1636 , e ) 1635", "output": [ "d" ] }, { "id": "task1420-81cbf85c58d04c208259c805937411ed", "input": "Problem: if a / b = 6 / 5 , then ( 5 a + 4 b ) / ( 5 a - 4 b ) = ? \nOptions: a ) 4 , b ) 7 , c ) 5 , d ) 3 , e ) 6", "output": [ "c" ] }, { "id": "task1420-5cc52ce20078474da83fddbf6def4fc9", "input": "Problem: 5301 x 13 = ? \nOptions: a ) 89136 , b ) 31986 , c ) 68910 , d ) 53113 , e ) 68913", "output": [ "e" ] }, { "id": "task1420-26dd8c575a4240a5af0a45258790eaaf", "input": "Problem: how many figures are required to number the pages the pages of a book containing 2200 pages ? \nOptions: a ) 7593 , b ) 6693 , c ) 7693 , d ) 7793 , e ) 7893", "output": [ "c" ] }, { "id": "task1420-ba0dacf224ae445db7efb5b7e7da1496", "input": "Problem: divide rs . 800 among a , b and c so that a receives 1 / 3 as much as b and c together and b receives 2 / 3 as a and c together . a ' s share is ? \nOptions: a ) s . 800 , b ) s . 200 , c ) s . 600 , d ) s . 500 , e ) s . 900", "output": [ "b" ] }, { "id": "task1420-6b670195cc624f27bf3e32763e860e2c", "input": "Problem: what will be the remainder when 17 ^ 200 is divided by 18 ? \nOptions: a ) 3 , b ) 8 , c ) 5 , d ) 1 , e ) 7", "output": [ "d" ] }, { "id": "task1420-406ec31b5eda470db3e37dc11f19b299", "input": "Problem: how many multiples of 5 are there between 50 and 500 ? \nOptions: a ) 128 , b ) 91 , c ) 89 , d ) 61 , e ) 60", "output": [ "c" ] }, { "id": "task1420-2898daf4ca9b45e4a558a703ee99293b", "input": "Problem: in digging a pond 28 m * 10 m * 5 m the volumes of the soil extracted will be ? \nOptions: a ) 3387 , b ) 1000 , c ) 2866 , d ) 2787 , e ) 1400", "output": [ "e" ] }, { "id": "task1420-260cb6d432b6448f85761c66d2f53e2c", "input": "Problem: a number when divided by 5 gives a number which is 8 more than the remainder obtained on dividing the same number by 34 . such a least possible number k is \nOptions: a ) 74 , b ) k = 75 , c ) k = 175 , d ) k = 680 , e ) 690", "output": [ "b" ] }, { "id": "task1420-c5da2b72370e4ad1868a41157ac469c7", "input": "Problem: on dividing 14698 by a certain number , we get 89 as quotient and 14 as remainder . what is the divisor ? \nOptions: a ) 743 , b ) 154 , c ) 852 , d ) 741 , e ) 165", "output": [ "e" ] }, { "id": "task1420-b6f722faea054018b3b4e032af0477a2", "input": "Problem: calculate 73196 ÷ ? = 631 \nOptions: a ) 101 , b ) 116 , c ) 119 , d ) 116 , e ) 32", "output": [ "d" ] }, { "id": "task1420-66b671c1717540f2b57f136aadd55efe", "input": "Problem: in a party every person shakes hands with every other person . if there are 105 hands shakes , find the number of person in the party . \nOptions: a ) 14 , b ) 12 , c ) 13 , d ) 15 , e ) 16", "output": [ "d" ] }, { "id": "task1420-12c013881db6408898f2ef5e5621cd0f", "input": "Problem: a set s = { x , - 8 , - 7 , - 6 , 6 , 8 , 9 , y } with elements arranged in increasing order . if the median and the mean of the set are the same , what is the value of | x | - | y | ? \nOptions: a ) 1 , b ) 0 , c ) 2 , d ) - 1 , e ) can not be determined", "output": [ "c" ] }, { "id": "task1420-383d1fabc64d46da930ead5733d0cf87", "input": "Problem: the average of runs of a cricket player of 20 innings was 32 . how many runs must he make in his next innings so as to increase his average of runs by 8 ? \nOptions: a ) 96 , b ) 200 , c ) 128 , d ) 116 , e ) 122", "output": [ "b" ] }, { "id": "task1420-4dd36440b44c4021bf2c3f3e3eadfd17", "input": "Problem: if xy denotes x is raised to the power y , find the last two digits of 19413846 + 19614181 \nOptions: a ) 67 , b ) 74 , c ) 82 , d ) 98 , e ) 34", "output": [ "c" ] }, { "id": "task1420-9a50b2111dbf4fb79a9c63481b2d99e5", "input": "Problem: a pharmaceutical company received $ 2 million in royalties on the first $ 20 million in sales of and then $ 9 million in royalties on the next $ 108 million in sales . by approximately what percentage did the ratio of royalties to sales decrease from the first $ 20 million in sales to the next $ 108 million in sales ? \nOptions: a ) 8 % , b ) 15 % , c ) 45 % , d ) 52 % , e ) 56 %", "output": [ "b" ] }, { "id": "task1420-fbda8a00e58247b69107c1d7c3685260", "input": "Problem: sum of two numbers is 25 . first exceeds by 5 from the other . then the numbers will be ? \nOptions: a ) 20 , 5 , b ) 10 , 15 , c ) 15 , 10 , d ) 5 , 20 , e ) 12 , 13", "output": [ "c" ] }, { "id": "task1420-c03dd18a14074fe4bb350ea24fb557c4", "input": "Problem: the total circumference of two circles is 49 . if the first circle has a circumference that is exactly twice the circumference of the second circle , then what is the approximate sum of their two radii ? \nOptions: a ) 7.8 , b ) 6.0 , c ) 6.7 , d ) 9.7 , e ) 18.0", "output": [ "a" ] }, { "id": "task1420-a9109275002f4d3aab4f9346245f77cc", "input": "Problem: simplify 3 / 4 of 6 0 – 8 / 5 of 60 + ? = 12 \nOptions: a ) 48 , b ) 24 , c ) 56 , d ) 63 , e ) 14", "output": [ "d" ] }, { "id": "task1420-e98048ccb8024d189c0a652b7c2456a4", "input": "Problem: david obtained 76 , 65 , 82 , 67 and 85 marks ( out of 100 ) in english , mathematics , physics , chemistry and biology what are his average marks ? \nOptions: a ) 75 , b ) 37 , c ) 26 , d ) 97 , e ) 27", "output": [ "a" ] }, { "id": "task1420-393385491bc24eaaa7ab140450d9eab5", "input": "Problem: how much is 75 % of 40 is greater than 4 / 5 of 25 ? \nOptions: a ) 22 , b ) 67 , c ) 10 , d ) 12 , e ) 66", "output": [ "c" ] }, { "id": "task1420-47abfbecca594c698d81aa1a18223010", "input": "Problem: the average age of 10 men increases by 2 years when two women are included in place of two men of ages 10 and 12 years . find the average age of the women ? \nOptions: a ) 21 , b ) 32 , c ) 30 , d ) 41 , e ) 37", "output": [ "a" ] }, { "id": "task1420-d46c50db0ba44ae1a981c2ddf41a6cfe", "input": "Problem: on a certain day , orangeade was made by mixing a certain amount of orange juice with an equal amount of water . on the next day , orangeade was made by mixing the same amount of orange juice with twice the amount of water . on both days , all the orangeade that was made was sold . if the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $ 0.30 per glass on the first day , what was the price per glass on the second day ? \nOptions: a ) $ 0.15 , b ) $ 0.20 , c ) $ 0.30 , d ) $ 0.40 , e ) $ 0.45", "output": [ "b" ] }, { "id": "task1420-c456584101c446f1a92aac6f4a4eefd2", "input": "Problem: simplify : 81 x 81 + 68 x 68 - 2 x 81 x 68 . \nOptions: a ) 169 , b ) 159 , c ) 189 , d ) 179 , e ) 219", "output": [ "a" ] }, { "id": "task1420-19e301b58e7640959dde651ac958212d", "input": "Problem: there are 8 stores in town that had a total of 23 visitors on a particular day . however , only 12 people went shopping that day ; some people visited more than one store . if 8 people visited exactly two stores each , and everyone visited at least one store , what is the largest number of stores anyone could have visited ? \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6", "output": [ "c" ] }, { "id": "task1420-f4eaa5b21473475d854e18a845dab452", "input": "Problem: if a number x is 10 % less than another number y and y is 10 % more than 125 , then x is equal to \nOptions: a ) 143 , b ) 150 , c ) 123.75 , d ) 140.55 , e ) none", "output": [ "c" ] }, { "id": "task1420-e34a108685c746f288155e7f0dd43b6f", "input": "Problem: how many multiples of 5 are there between 70 and 358 ? \nOptions: a ) 54 , b ) 55 , c ) 56 , d ) 57 , e ) 58", "output": [ "e" ] }, { "id": "task1420-432fe0bf52f245c3befb51fd30db0023", "input": "Problem: 2 : 5 = 4 / 3 : x . the value of x is ? \nOptions: a ) 10 / 3 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "a" ] }, { "id": "task1420-b241f17378cb41e48fdac956197f2311", "input": "Problem: how many numbers from 10 to 43 are exactly divisible by 3 ? \nOptions: a ) 13 , b ) 11 , c ) 16 , d ) 17 , e ) 18", "output": [ "b" ] }, { "id": "task1420-985b719c5fad4b3da3a03e093e418dcb", "input": "Problem: set q consists of integers { 3 , - 8 , y , 19 , - 6 } and set b consists of integers { k , - 3 , 0 , 16 , - 5 , 9 } . number l represents the median of set q , number m represents mode of set b and number z = l ^ m . if y is an integer greater than 21 , for what value of k will z be a divisor of 26 ? \nOptions: a ) - 2 , b ) - 1 , c ) 0 , d ) 1 , e ) 2", "output": [ "c" ] }, { "id": "task1420-4c20976923394d349ea86950ca311e7f", "input": "Problem: raj invests a part of rs . 12000 in 12 % stock at rs . 120 and the remainder in 15 % stock at rs . 125 . if his total dividend per annum is rs . 1360 , how much does he invest in 12 % stock at rs . 120 ? \nOptions: a ) 3000 , b ) 4000 , c ) 5000 , d ) 5500 , e ) 6000", "output": [ "b" ] }, { "id": "task1420-506078fb06434830b3ebd85398bb8856", "input": "Problem: the positive numbers w , x , y , and z are such that x is 20 percent greater than y , y is 20 percent greater than z , and w is 20 percent less than x . what percent greater than z is w ? \nOptions: a ) 15.2 % , b ) 16.0 % , c ) 20.0 % , d ) 23.2 % , e ) 24.8 %", "output": [ "a" ] }, { "id": "task1420-68a8e08e5ffa4f6db14ae69f7a44ccd4", "input": "Problem: a will states that the estate would be divided among 6 sons with the remainder donated to charity . one stipulation in the will is that no one among the sons can receive an amount within 12 % of another ' s amount . if one of the beneficiaries received $ 30000 , what is the smallest possible range between the highest and lowest amounts ( rounded to the nearest dollar ) among the 6 sons ? \nOptions: a ) $ 4096 , b ) $ 14043 , c ) $ 7892 , d ) $ 17736 , e ) $ 15336", "output": [ "b" ] }, { "id": "task1420-a974424168b54ea99a7ce4f953039821", "input": "Problem: the average of 45 results is 25 and the average of other 25 results is 45 . what is the average of all the results ? \nOptions: a ) 24 , b ) 32 , c ) 48 , d ) 50 , e ) none", "output": [ "b" ] }, { "id": "task1420-72f08edbc4ae4511842c4a163e075061", "input": "Problem: the guests at a football banquet consumed a total of 327 pounds of food . if no individual guest consumed more than 2 pounds of food , what is the minimum number of guests that could have attended the banquet ? \nOptions: a ) 160 , b ) 161 , c ) 162 , d ) 163 , e ) 164", "output": [ "e" ] }, { "id": "task1420-da3d1f50aa224c888ad48e815e11fc50", "input": "Problem: the average height of 20 students in a class was calculated as 175 cm . it has later found that the height of one of the students in the class was incorrectly written as 151 cm whereas the actual height was 111 cm . what was the actual average height of the students in the class ? \nOptions: a ) 174 cm , b ) 173 cm , c ) 172 cm , d ) 171 cm , e ) 170 cm", "output": [ "b" ] }, { "id": "task1420-3e27ffb7897f410791758193b822775d", "input": "Problem: john want to buy a $ 100 trouser at the store , but he think it ’ s too expensive . finally , it goes on sale for $ 40 . what is the percent decrease ? \nOptions: a ) 20 % , b ) 30 % , c ) 40 % , d ) 70 % , e ) 60 %", "output": [ "e" ] }, { "id": "task1420-0dfd9b36b453419bbed0f167a1dcbfa1", "input": "Problem: if 25 % of a class averages 80 % on a test , 50 % of the class averages 65 % on the test , and the remainder of the class averages 90 % on the test , what is the overall class average ? \nOptions: a ) 60 % , b ) 65 % , c ) 70 % , d ) 75 % , e ) 80 %", "output": [ "d" ] }, { "id": "task1420-abe65f63436a4b4db7b41a05307d8cee", "input": "Problem: a driver would have reduced the time it took to drive from home to the store by 1 / 3 if the average speed had been increased by 18 miles per hour . what was the actual average speed , in miles per hour , when the driver drove from home to the store ? \nOptions: a ) 36 , b ) 40 , c ) 44 , d ) 48 , e ) 52", "output": [ "a" ] }, { "id": "task1420-65b55979f41b423d8df005c476055de1", "input": "Problem: the sum of the first 50 positive even integers is 2550 . what is the sum e of even integers from 102 to 200 inclusive ? \nOptions: a ) 5100 , b ) 7550 , c ) 10100 , d ) 15500 , e ) 20100", "output": [ "b" ] }, { "id": "task1420-6fcfdf12de884fd2ac0628027d6b3e2d", "input": "Problem: calculate the sum of first 19 natural numbers . \nOptions: a ) 190 , b ) 120 , c ) 150 , d ) 199 , e ) 110", "output": [ "a" ] }, { "id": "task1420-367050c8bf1a4b128e8b6a713a6b996a", "input": "Problem: a ’ s speed is 30 / 17 times that of b . if a and b run a race , what part of the length of the race should a give b as a head start , so that the race ends in a dead heat ? \nOptions: a ) 1 / 17 , b ) 13 / 30 , c ) 17 / 30 , d ) 11 / 30 , e ) 11 / 13", "output": [ "b" ] }, { "id": "task1420-723b232406954d73b9a0e781d93e6560", "input": "Problem: in an exam 80 % of the boys and 40 % of the girls passed . the number of girls who passed is 120 , which is 2 / 3 rd of the number of boys who failed . what is the total number of students who appeared for the exam ? \nOptions: a ) 1200 , b ) 380 , c ) 3800 , d ) 2180 , e ) 3180", "output": [ "a" ] }, { "id": "task1420-6595f11fbfc94ea3ad1206fbd02d148d", "input": "Problem: williams works at a resort from the beginning of march to the end of september . during the month of august this past year , he made 10 times the average ( arithmetic mean ) of his monthly totals in tips for the other months . his total tips for august were what fraction of his total tips for all of the months he worked ? \nOptions: a ) 5 / 8 , b ) 7 / 8 , c ) 6 / 8 , d ) 2 / 9 , e ) 1 / 7", "output": [ "a" ] }, { "id": "task1420-29fd0fc74a0b46fd8e96f29b362864ed", "input": "Problem: a university cafeteria offers 6 flavors of pizza - pork , gobi - manjurian , pepperoni , chicken , hawaiian and vegetarian . if a customer has an option ( but not the obligation ) to add extra cheese , mushrooms or both to any kind of pizza , how many different pizza varieties are available ? \nOptions: a ) 4 , b ) 8 , c ) 12 , d ) 36 , e ) 32", "output": [ "d" ] }, { "id": "task1420-1b8fae796068485d90c51ced8e20f5f4", "input": "Problem: if the price of a tv is first decreased by 20 % and then increased by 45 % , then the net change in the price will be : \nOptions: a ) 4 % increase , b ) 10 % increase , c ) 10 % decrease , d ) 16 % increase , e ) none of these", "output": [ "d" ] }, { "id": "task1420-d4cb4b17185248ada246ac448e1c4f88", "input": "Problem: p has $ 42 more than what q and r together would have had if both b and c had 1 / 8 of what p has . how much does p have ? \nOptions: a ) $ 44 , b ) $ 48 , c ) $ 52 , d ) $ 56 , e ) $ 60", "output": [ "d" ] }, { "id": "task1420-cbea7fe0863d4fabac3ee026e2696131", "input": "Problem: 65 % of x = 20 % of 747.50 . find the value of x ? \nOptions: a ) 100 , b ) 230 , c ) 150 , d ) 180 , e ) 199", "output": [ "b" ] }, { "id": "task1420-34dc34e6e64f4595be84ed2f6a3a66d0", "input": "Problem: if ( m - 8 ) is a factor of m ^ 2 - hm - 24 , then h = \nOptions: a ) 3 , b ) 5 , c ) 6 , d ) 11 , e ) 16", "output": [ "b" ] }, { "id": "task1420-837d287ed8d844afb353733ac9f31b4a", "input": "Problem: the value of 3.6 x 0.48 x 2.50 / 0.12 x 0.09 x 0.5 is \nOptions: a ) 80 , b ) 800 , c ) 8000 , d ) 80000 , e ) none of these", "output": [ "b" ] }, { "id": "task1420-23f0674c6dd143098cfcfd5ec5bffb60", "input": "Problem: k is a 3 digit number such that the the ratio of the number to the sum of its digits is least . what is the difference between the hundreds and tens digit ? \nOptions: a ) 9 , b ) 8 , c ) 7 , d ) 6 , e ) 5", "output": [ "b" ] }, { "id": "task1420-cc12235afbcb40fba7d3a39cb924c81f", "input": "Problem: at veridux corporation , there are 250 employees . of these , 90 are female , and the rest are males . there are a total of 40 managers , and the rest of the employees are associates . if there are a total of 155 male associates , how many female managers are there ? \nOptions: a ) 15 , b ) 20 , c ) 25 , d ) 30 , e ) 35", "output": [ "e" ] }, { "id": "task1420-cd2eee0dfa9241ef9a8df8c9858dabd0", "input": "Problem: a man spend 1 / 5 of his salary on food , 1 / 10 of his salary on house rent and 3 / 5 salary on clothes . he still has $ 17000 left with him . find salary . . \nOptions: a ) $ 10700 , b ) $ 17000 , c ) $ 180000 , d ) $ 1700 , e ) $ 170000", "output": [ "e" ] }, { "id": "task1420-62666045e882458081fdc7440edec21f", "input": "Problem: the average of 6 no . ' s is 5.40 . the average of 2 of them is 5.2 , while the average of the other 2 is 5.80 . what is the average of the remaining 2 no ' s ? \nOptions: a ) 5.2 , b ) 2.6 , c ) 3.6 , d ) 4.5 , e ) 4.6", "output": [ "a" ] }, { "id": "task1420-305f1338900d4da4b88ea850138e2829", "input": "Problem: a box contains 3 pairs of blue gloves and two pairs of green gloves . each pair consists of a left - hand glove and a right - hand glove . each of the gloves is separate from its mate and thoroughly mixed together with the others in the box . if 3 gloves are randomly selected from the box , what is the probability that a matched set ( i . e . , a left - and right - hand glove of the same color ) will be among the 3 gloves selected ? \nOptions: a ) 3 / 10 , b ) 23 / 60 , c ) 7 / 12 , d ) 41 / 60 , e ) 5 / 6", "output": [ "d" ] }, { "id": "task1420-ff41d096fdba46d59903f3ccf1ec35a0", "input": "Problem: last year , company x paid out a total of $ 1 , 050,000 in salaries to its 21 employees . if no employee earned a salary that is more than 15 % greater than any other employee , what is the lowest possible salary that any one employee earned ? \nOptions: a ) $ 40,000 , b ) $ 41,667 , c ) $ 42,000 , d ) $ 43,750 , e ) $ 60,000", "output": [ "d" ] }, { "id": "task1420-0cf103fa6a404db2b36124db10b1c75e", "input": "Problem: there are two numbers . if 20 % of the first number is added to the second number , then the second number increases to its 5 - fourth . what is the ratio of the first number to the second number ? \nOptions: a ) 2 : 9 , b ) 3 : 8 , c ) 8 : 5 , d ) 5 : 4 , e ) 7 : 3", "output": [ "d" ] }, { "id": "task1420-86da417c18104574af47ff1b2b215661", "input": "Problem: average expenditure of a person for the first 3 days of a week is rs . 320 and for the next 4 days is rs . 420 . average expenditure of the man for the whole week is : \nOptions: a ) 350 , b ) 370 , c ) 390 , d ) 360 , e ) none", "output": [ "d" ] }, { "id": "task1420-7d85402974b44abaaf6d836a7e2817d9", "input": "Problem: in 10 years , a will be twice as old 5 as b was 10 years ago . if a is now 12 years older than b , the present age of b is \nOptions: a ) 35 , b ) 37 , c ) 39 , d ) 41 , e ) 42", "output": [ "e" ] }, { "id": "task1420-dfc54087b7154bfeafb3bed301c98896", "input": "Problem: a case of 12 rolls of paper towels sells for $ 9 . the cost of one roll sold individually is $ 1 . what is the percent r of savings per roll for the 12 - roll package over the cost of 12 rolls purchased individually ? \nOptions: a ) 9 % , b ) 11 % , c ) 15 % , d ) 25 % , e ) 90 %", "output": [ "d" ] }, { "id": "task1420-6f089c67f4a547a1abbc38ebb9692906", "input": "Problem: what two - digit number is less than the sum of the square of its digits by 13 and exceeds their doubled product by 5 ? \nOptions: a ) 95 , b ) 99 , c ) 26 , d ) 73 , e ) none of the above", "output": [ "b" ] }, { "id": "task1420-d1faa887b39345879430fa50eb431e32", "input": "Problem: the average of first 12 natural numbers is ? \nOptions: a ) 5.2 , b ) 6.5 , c ) 5.3 , d ) 5.9 , e ) 5.1", "output": [ "b" ] }, { "id": "task1420-6cdefe2bed1f4d5c8fd02c731f615805", "input": "Problem: two trains of equal are running on parallel lines in the same direction at 47 km / hr and 36 km / hr . the faster train passes the slower train in 36 sec . the length of each train is ? \nOptions: a ) 50 , b ) 88 , c ) 66 , d ) 55 , e ) 22", "output": [ "d" ] }, { "id": "task1420-0f04942ff49943959d0f9d638502c934", "input": "Problem: a positive number x is multiplied by 8 , and this product is then divided by 3 . if the positive square root of the result of these two operations equals x , what is the value of x ? \nOptions: a ) 9 / 4 , b ) 3 / 2 , c ) 8 / 3 , d ) 2 / 3 , e ) 1 / 2", "output": [ "c" ] }, { "id": "task1420-95df98429cc04ae3b34c30f745e94cce", "input": "Problem: how many of the positive divisors of 720 are also multiples of 4 not including 720 ? \nOptions: a ) 11 , b ) 12 , c ) 17 , d ) 18 , e ) 24", "output": [ "c" ] }, { "id": "task1420-1bb247d9dba24edf9e694538491679c5", "input": "Problem: 9886 + x = 13200 , then x is ? \nOptions: a ) 3327 , b ) 3237 , c ) 3337 , d ) 2337 , e ) none of these", "output": [ "e" ] }, { "id": "task1420-bcc63effaac24d0c872ad4763dde223c", "input": "Problem: in arun ' s opinion , his weight is greater than 66 kg but leas than 72 kg . his brother does not agree with arun and he thinks that arun ' s weight is greater than 60 kg but less than 70 kg . his mother ' s view is that his weight can not be greater than 69 kg . if all of them are correct in their estimation , what is the average of diferent probable weights of arun ? \nOptions: a ) 86.5 kg , b ) 67.5 kg , c ) 46.5 kg , d ) 26.5 kg , e ) 16.5 kg", "output": [ "b" ] }, { "id": "task1420-a466b4da00694e758d01e71cd9a5ab16", "input": "Problem: calculate the average of all the numbers between 11 and 27 which are divisible by 2 . \nOptions: a ) 11 , b ) 10 , c ) 18 , d ) 19 , e ) 21", "output": [ "d" ] }, { "id": "task1420-dc44f30e9f7d4036bffdd53361e6e841", "input": "Problem: a total of 30 percent of the geese included in a certain migration study were male . if some of the geese migrated during the study and 30 percent of the migrating geese were male , what was the ratio of the migration rate for the male geese to the migration rate for the female geese ? [ migration rate for geese of a certain sex = ( number of geese of that sex migrating ) / ( total number of geese of that sex ) ] \nOptions: a ) 1 / 4 , b ) 7 / 12 , c ) 2 / 3 , d ) 1 , e ) 8 / 7", "output": [ "d" ] }, { "id": "task1420-f4684fef62124863b2d42c4eac789fc2", "input": "Problem: what is the smallest no . which must be added to 25268 so as to obtain a sum which is divisible by 11 ? \nOptions: a ) 5 , b ) 10 , c ) 11 , d ) 20 , e ) 30", "output": [ "b" ] }, { "id": "task1420-b81fd62f47654c8d917720b10e85f7e4", "input": "Problem: if n = 8 ^ 8 – 5 , what is the units digit of n ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 5", "output": [ "e" ] }, { "id": "task1420-b3c8111a874a4893a586601f2ffdc3ca", "input": "Problem: the average monthly salary of 8 workers and one supervisor in a factory was 430 . @ sswhen @ ssthe @ sssupervisor @ cc @ sswhose @ sssalary @ sswas @ ss 430 . @ sswhen @ ssthe @ sssupervisor @ cc @ sswhose @ sssalary @ sswas @ ss 430 . whenthesupervisor , whosesalarywas 430 . when the supervisor , whose salary was 870 per month , retired , a new person was appointed and then the average salary of 9 people was $ $ 410 per month . the salary of the new supervisor is : \nOptions: a ) 233 , b ) 690 , c ) 287 , d ) 771 , e ) 191", "output": [ "b" ] }, { "id": "task1420-0c688d7f6a7b4d7e9a2273ba4e9c0347", "input": "Problem: 90 % of the population of a village is 8100 . the total population of the village is ? \nOptions: a ) 9000 , b ) 24000 , c ) 26682 , d ) 29973 , e ) 12312", "output": [ "a" ] }, { "id": "task1420-3639579f85b6445086fc5439c9f30498", "input": "Problem: if jake loses 20 pounds , he will weigh twice as much as his sister . together they now weigh 224 pounds . what is jake ’ s present weight , in pounds ? \nOptions: a ) 131 , b ) 135 , c ) 156 , d ) 177 , e ) 188", "output": [ "c" ] }, { "id": "task1420-410210313a314254948b352397ffac49", "input": "Problem: a man spends 1 / 3 rd of his salary on food . he spends 1 / 4 th on rent and 1 / 5 th on cloths . if he is left with 1760 , then who much salary does he earn \nOptions: a ) 8223 , b ) 8123 , c ) 8323 , d ) 8423 , e ) 8523", "output": [ "b" ] }, { "id": "task1420-1bdb4e0b724e491db9189f31ac97c899", "input": "Problem: find the least number of 5 digits which is exactly divisible by 12 , 15 and 18 ? \nOptions: a ) 1080 , b ) 10080 , c ) 10025 , d ) 11080 , e ) 12080", "output": [ "b" ] }, { "id": "task1420-3cf548ca85834c3abbe664808becdcdc", "input": "Problem: if ( 27 / 4 ) x - 18 = 3 x + 27 what is the value of x ? \nOptions: a ) 12 , b ) - 12 , c ) 1 / 12 , d ) - 1 / 12 , e ) 3", "output": [ "a" ] }, { "id": "task1420-03f8de1d1712402aa24cb0f908d797aa", "input": "Problem: 3 x ^ 2 - 6 x + 3 = 0 find the above equation find the value of x \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 4 , e ) 6", "output": [ "b" ] }, { "id": "task1420-cf83a51c4ac8428a92bb0a2d3bab18ad", "input": "Problem: 4 barrels of water have an average capacity of 8 gallons . what is the maximum possible capacity of the smallest barrel e if the median is 10 gallons ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "b" ] }, { "id": "task1420-5cab12d36ad9484eb3ff7e4117ff69fa", "input": "Problem: we define that k @ j is the product of j number from k in increasing order for positive integers k , j . for example , 6 @ 4 = 6 * 7 * 8 * 9 . if a = 2020 and b = 2120 , what is the value q of the ratio a / b ? \nOptions: a ) 1 / 2 , b ) 1 / 3 , c ) 2 / 3 , d ) 1 / 4 , e ) 1 / 5", "output": [ "a" ] }, { "id": "task1420-62f54a32325f4f47817525c31e112bd6", "input": "Problem: in the x - y plane , there are 4 points ( 00 ) , ( 04 ) , ( 54 ) , and ( 50 ) . if these 4 points makes a rectangle , what is the probability that x + y < 4 ? \nOptions: a ) 2 / 3 , b ) 2 / 5 , c ) 3 / 4 , d ) 3 / 7 , e ) 5 / 8", "output": [ "b" ] }, { "id": "task1420-852be4c8409e4d6592263b52e0138281", "input": "Problem: there are 9 players in a chess group , and each player plays each of the others once . given that each game is played by two players , how many total games will be played ? \nOptions: a ) 10 , b ) 30 , c ) 36 , d ) 60 , e ) 90", "output": [ "c" ] }, { "id": "task1420-e9d743b71bd24c1c8cf348b628b2c903", "input": "Problem: if there are 200 questions in a 3 hr examination . among these questions are 15 type a problems , which requires twice as much as time be spent than the rest of the type b problems . how many minutes should be spent on type a problems ? \nOptions: a ) 72 min , b ) 25.11628 min , c ) 70 min , d ) 74.11682 min , e ) 76 min", "output": [ "b" ] }, { "id": "task1420-2d461eee3cfb416d98cea28b4db1fcbb", "input": "Problem: b alone can do piece of work in 10 days . a alone can do it in 15 days . if the total wages for the work is rs 5000 , how much should b be paid if they work together for the entire duration of the work ? \nOptions: a ) 267 , b ) 7 , c ) 76 , d ) 8 , e ) 82", "output": [ "a" ] }, { "id": "task1420-4ec5ceb972b6462c91fd20c697961aff", "input": "Problem: a sum of money is to be distributed among a , b , c , d in the proportion of 5 : 2 : 4 : 3 . if c gets rs . 10000 more than d , what is b ' s share ? \nOptions: a ) a ) 82390 , b ) b ) 29000 , c ) c ) 20005 , d ) d ) 23930 , e ) e ) 20000", "output": [ "e" ] }, { "id": "task1420-e4f8acae209747a6b5f0728f57fd61cb", "input": "Problem: an amount of money is to be divided between p , q and r in the ratio of 3 : 7 : 12 . if the difference between the shares of p and q is rs . 2800 , what will be the difference between q and r ' s share ? \nOptions: a ) 2788 , b ) 3500 , c ) 7282 , d ) 2782 , e ) 2729", "output": [ "b" ] }, { "id": "task1420-9b720ba67672447db7b93c85c51d4e1c", "input": "Problem: find the value of y from ( 12 ) ^ 3 x 6 ^ 3 ÷ 432 = y ? \nOptions: a ) 2134 , b ) 2234 , c ) 2540 , d ) 2560 , e ) 864", "output": [ "e" ] }, { "id": "task1420-bbe5f65cedd8420681584218b18d9485", "input": "Problem: john purchased 1365 large bottles at $ 1.89 per bottle and 720 small bottles at $ 1.42 per bottle . what was the approximate average price paid per bottle ? \nOptions: a ) $ 1.63 , b ) $ 1.64 , c ) $ 1.68 , d ) $ 1.73 , e ) $ 1.76", "output": [ "d" ] }, { "id": "task1420-a2761b421c284a73816bd30af417783d", "input": "Problem: two trains of equal are running on parallel lines in the same direction at 49 km / hr and 36 km / hr . the faster train passes the slower train in 36 sec . the length of each train is ? \nOptions: a ) 50 , b ) 88 , c ) 65 , d ) 55 , e ) 22", "output": [ "c" ] }, { "id": "task1420-42b07ca4112d4105b5cc36e4026a19c1", "input": "Problem: at a supermarket , john spent 1 / 2 of his money on fresh fruits and vegetables , 1 / 3 on meat products , and 1 / 10 on bakery products . if he spent the remaining $ 10 on candy , how much did john spend at the supermarket ? \nOptions: a ) $ 60 , b ) $ 80 , c ) $ 90 , d ) $ 120 , e ) $ 150", "output": [ "e" ] }, { "id": "task1420-c5c562fe3de24611a26b6c95c5744dce", "input": "Problem: the avg weight of a , b & c is 84 kg . if d joins the group , the avg weight of the group becomes 80 kg . if another man e who weights is 5 kg more than d replaces a , then the avgof b , c , d & e becomes 79 kg . what is the weight of a ? \nOptions: a ) 45 , b ) 65 , c ) 77 , d ) 89 , e ) 90", "output": [ "c" ] }, { "id": "task1420-0ef3bf7bbb7c4cbda72540c797a13f4e", "input": "Problem: at company x , senior sales representatives visit the home office once every 20 days , and junior sales representatives visit the home office once every 15 days . the number of visits that a junior sales representative makes in a 2 - year period is approximately what percent greater than the number of visits that a senior representative makes in the same period ? \nOptions: a ) 10 % , b ) 25 % , c ) 33 % , d ) 50 % , e ) 67 %", "output": [ "c" ] }, { "id": "task1420-8fcd144b239b4c858fdfac33383d5d91", "input": "Problem: what is the value of n if the sum of the consecutive odd intergers e from 1 to n equals 169 ? \nOptions: a ) 47 , b ) 25 , c ) 37 , d ) 33 , e ) 29", "output": [ "b" ] }, { "id": "task1420-915f61f074144adaa411d9a770ee20a9", "input": "Problem: the total cost of a vacation was divided among 3 people . if the total cost of the vacation had been divided equally among 4 people , the cost per person would have been $ 40 less . what was the total cost cost of the vacation ? \nOptions: a ) $ 200 , b ) $ 300 , c ) $ 480 , d ) $ 500 , e ) $ 600", "output": [ "c" ] }, { "id": "task1420-43cda4c618cf46b8b6a14fcfa865f99c", "input": "Problem: 5.40 can be expressed in terms of percentage as \nOptions: a ) 5.04 % , b ) 50.4 % , c ) 209 % , d ) 540 % , e ) none of these", "output": [ "d" ] }, { "id": "task1420-fc6e19d99a2d4083b17b74147d7fa725", "input": "Problem: what is the dividend ? the divisor is 17 , the quotient is 4 and the remainder is 8 . \nOptions: a ) 76 , b ) 67 , c ) 176 , d ) 671 , e ) 0", "output": [ "a" ] }, { "id": "task1420-aaf91c1f5628452fba71071f76b93e7c", "input": "Problem: if a : b = 2 : 3 , b : c = 4 : 5 and c : d = 5 : 9 then a : d is equal to : \nOptions: a ) 11 : 17 , b ) 8 : 27 , c ) 5 : 9 , d ) 2 : 9 , e ) none", "output": [ "b" ] }, { "id": "task1420-94391f886690406392e7bad1f63c012f", "input": "Problem: what is the value of ( 5 ) ^ - 5 ? \nOptions: a ) 1 / 3125 , b ) 1 / 3000 , c ) 1 / 658 , d ) 1 / 500 , e ) 1 / 75", "output": [ "a" ] }, { "id": "task1420-7d4b2f00bff14c4797e534b005800686", "input": "Problem: in an it company , there are a total of 60 employees including 50 programmers . the number of male employees is 80 , including 35 male programmers . how many employees must be selected to guaranty that we have 3 programmers of the same sex ? \nOptions: a ) 15 , b ) 50 , c ) 55 , d ) 35 , e ) 65", "output": [ "a" ] }, { "id": "task1420-e4b53f4ef7d64ce5b3069b5c4f6d8c49", "input": "Problem: we define that k @ j is the product of j number from k in increasing order for positive integers k , j . for example , 6 @ 4 = 6 * 7 * 8 * 9 . if a = 2020 and b = 2120 , what is the value w of the ratio a / b ? \nOptions: a ) 1 / 2 , b ) 1 / 3 , c ) 2 / 3 , d ) 1 / 4 , e ) 1 / 5", "output": [ "a" ] }, { "id": "task1420-bdda27ab23ce4de183435470f7491069", "input": "Problem: a man spends 2 / 5 of his salary on house rent , 3 / 10 of his salary on food and 1 / 8 of his salary on convenience he has rs . 1400 left with him , find his expenditure on food and conveyance . \nOptions: a ) 1000 , b ) 3000 , c ) 4000 , d ) 2000 , e ) 5000", "output": [ "a" ] }, { "id": "task1420-d88becb7d2a74211ae2bc375bb170679", "input": "Problem: company s produces two kinds of stereos : basic and deluxe . of the stereos produced by company s last month , 2 / 3 were basic and the rest were deluxe . if it takes 1.3 as many hours to produce a deluxe stereo as it does to produce a basic stereo , then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos ? \nOptions: a ) 7 / 17 , b ) 13 / 33 , c ) 7 / 15 , d ) 17 / 35 , e ) 1 / 2", "output": [ "b" ] }, { "id": "task1420-110064647fe247e0adc8fc7c510c8937", "input": "Problem: what is the tenth digit of ( 4 ! * 3 ! + 4 ! * 2 ! ) / 3 ? \nOptions: a ) 5 , b ) 7 , c ) 9 , d ) 1 , e ) 0", "output": [ "c" ] }, { "id": "task1420-f1b1b0dcbad244cca03f1bdc64a19bb3", "input": "Problem: the value of ( 34.31 * 0.473 * 1.567 ) / ( 0.0673 * 23.5 * 7.57 ) is close to \nOptions: a ) 2 , b ) 1.15 , c ) 2.05 , d ) 2.12 , e ) 2.35", "output": [ "d" ] }, { "id": "task1420-e382840ce2e842678dbe841b3b483bc4", "input": "Problem: a store owner estimates that the average price of type a products will increase by 40 % next year and that the price of type b products will increase by 10 % next year . this year , the total amount paid for type a products was $ 4500 and the total price paid for type b products was $ 8300 . according to the store owner ' s estimate , and assuming the number of products purchased next year remains the same as that of this year , how much will be spent for both products next year ? \nOptions: a ) $ 14,755 , b ) $ 15,430 , c ) $ 16,000 , d ) $ 16,225 , e ) $ 17,155", "output": [ "b" ] }, { "id": "task1420-c7ade5e30e204f4aa4f8f32b50e9622e", "input": "Problem: what is x if x + 5 y = 24 and y = 2 ? \nOptions: a ) 1 , b ) 3 , c ) 5 , d ) 7 , e ) 14", "output": [ "e" ] }, { "id": "task1420-49806c54287b481e9214277e3c3b7241", "input": "Problem: a lady has fine gloves and hats in her closet - 18 blue , 32 red , and 25 yellow . the lights are out and it is totally dark . in spite of darkness , she can make out the difference between a hat and a glove . she takes out an item out of the closet only if she is sure that it is a glove . how many gloves must she take out to make sure she has a pair of each color ? \nOptions: a ) 60 , b ) 65 , c ) 70 , d ) 75 , e ) 80", "output": [ "a" ] }, { "id": "task1420-08722f5adeda453dbaa9a3662e174bdd", "input": "Problem: how many positive integers between 1 and 400 are there such that they are multiples of 25 ? \nOptions: a ) 12 , b ) 13 , c ) 16 , d ) 15 , e ) 11", "output": [ "c" ] }, { "id": "task1420-07757dec616a49c79e200fc9b841d3f3", "input": "Problem: if n = ( 33 ) ^ 43 + ( 53 ) ^ 33 what is the units digit of n ? \nOptions: a ) 0 , b ) 2 , c ) 4 , d ) 6 , e ) 8", "output": [ "c" ] }, { "id": "task1420-32fcee0e93df4cbba029fa518a386834", "input": "Problem: the temperature of a certain cup of coffee 10 minutes after it was poured was 120 degrees fahrenheit . if the temperature f of the coffee t minutes after it was poured can be determined by the formula f = 120 ( 2 ^ - at ) + 60 , where f is in degrees fahrenheit and a is a constant . then the temperature of the coffee 80 minutes after it was poured was how many degrees fahrenheit ? \nOptions: a ) 45 , b ) 56 , c ) 60.4 , d ) 85 , e ) 90", "output": [ "c" ] }, { "id": "task1420-cafc7aac5d7a4a799ef869f9d99c5043", "input": "Problem: village x has a population of 72000 , which is decreasing at the rate of 1200 per year . village y has a population of 42000 , which is increasing at the rate of 800 per year . in how many years will the population of the two villages be equal ? \nOptions: a ) 15 , b ) 19 , c ) 11 , d ) 18 , e ) 13", "output": [ "a" ] }, { "id": "task1420-0f527d54e2864a87882f29e6e4d09763", "input": "Problem: how many prime numbers are between 25 / 8 and 213 / 6 ? \nOptions: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10", "output": [ "d" ] }, { "id": "task1420-fa5c7b8d6d9349c683a4a03b9641b175", "input": "Problem: a man can buy a new house in 4 years with all of his earnings . but he spend the same amount in household expenses in 8 years and for savings in 12 years . how many time needed for buying the house ? \nOptions: a ) 12 , b ) 20 , c ) 30 , d ) 15 , e ) 24", "output": [ "e" ] }, { "id": "task1420-f265fe1bf6c4408090d3b87a4f36a393", "input": "Problem: when positive integer n is divided by positive integer j , the remainder is 28 . if n / j = 154.04 , what is value of j ? \nOptions: a ) 400 , b ) 350 , c ) 700 , d ) 750 , e ) 800", "output": [ "c" ] }, { "id": "task1420-d27b26c5278d44919cae817cad92ba24", "input": "Problem: company x provides bottled water to its employees in 5 liter bottles , $ 2 each . at least how many 5 l bottles must company x buy monthly , so that new contract with $ 100 fixed monthly rate and $ 1 for 10 l bottle each paid off ? ( assume that no other costs apply ) \nOptions: a ) 121 , b ) 125 , c ) 132 , d ) 134 , e ) 138", "output": [ "d" ] }, { "id": "task1420-7aad5b416f6046568ca300ca56ad7c23", "input": "Problem: in a group of cows and hens , the number of legs are 16 more than twice the number of heads . the number of cows is : \nOptions: a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 12", "output": [ "d" ] }, { "id": "task1420-6b874e2f21fb4101ba2a9e771be70305", "input": "Problem: 987.650 - ? + 56.98 = 126.654 \nOptions: a ) a ) 899.015 , b ) b ) 752.804 , c ) c ) 714.642 , d ) d ) 629.906 , e ) 917.976", "output": [ "e" ] }, { "id": "task1420-aeef5cde8d6f41ed862a3cbd2708f8a4", "input": "Problem: for a certain exam , a score of 42 was 5 standard deviations below mean and a score of 67 was 2.5 standard deviations above mean . what was the mean score for the exam ? \nOptions: a ) 74 , b ) 76 , c ) 78 , d ) 58.67 , e ) 82.2", "output": [ "d" ] }, { "id": "task1420-1bc28d03842f4d98a846ec5604ff0682", "input": "Problem: 5 friends visited a fruit stall , and everyone decided to contribute equally to the total bill of $ 100 . if one of the friends had a coupon for 6 % off the total bill , and if each friend still contributed equally after the coupon was applied to the bill , how much did each friend pay ? \nOptions: a ) 18 , b ) 18.8 , c ) 19 , d ) 17.8 , e ) 17.9", "output": [ "b" ] }, { "id": "task1420-f78e823d90b140eba7c4bc27a4f2f4ae", "input": "Problem: xy = 2 then what is ( 2 ^ ( x + y ) ^ 2 ) / ( 2 ^ ( x - y ) ^ 2 ) \nOptions: a ) 2 , b ) 4 , c ) 8 , d ) 16 , e ) 256", "output": [ "e" ] }, { "id": "task1420-7297ad4cc2454056a4ecbfa6ed9ccb3f", "input": "Problem: what must be added to each term of the ratio 4 : 15 , so that it may become equal to 3 : 4 ? \nOptions: a ) 18 , b ) 29 , c ) 39 , d ) 49 , e ) 59", "output": [ "b" ] }, { "id": "task1420-3551cc19c2e7459a8ae3bd84e9bf2ca2", "input": "Problem: in a class , 6 students can speak tamil , 15 can speak gujarati and 6 can speak h . if two students can speak two languages and one student can speak all the 3 languages , then how many students are there in the class ? \nOptions: a ) 20 , b ) 21 , c ) 22 , d ) 23 , e ) 24", "output": [ "d" ] }, { "id": "task1420-84d6196e1a954e00aefab079fd23cf0b", "input": "Problem: a number when multiplied by 3 is odd and divisible by 9 . this number when multiplied by 4 is 108 . what is the original number ? \nOptions: a ) 10 , b ) 18 , c ) 13 , d ) 21 , e ) 27", "output": [ "e" ] }, { "id": "task1420-af0477b9035a43e0af38466b166172b8", "input": "Problem: a company that ships boxes to a total of 15 distribution centers uses color coding to identify each center . if either a single color or a pair of two different colors is chosen to represent each center and if each center is uniquely represented by that choice of one or two colors , what is the minimum number of colors needed for the coding ? ( assume that the order of the colors in a pair does not matter ) \nOptions: a ) 8 , b ) 7 , c ) 6 , d ) 5 , e ) 9", "output": [ "d" ] }, { "id": "task1420-eef4a9caaf3543adbe65042d41f5d414", "input": "Problem: 10 % people of a village in sri lanka died by bombardment , 20 % of the remainder left the village on account of fear . if now the population is reduced to 4554 , how much was it in the beginning ? \nOptions: a ) 7349 , b ) 6300 , c ) 6325 , d ) 6939 , e ) 2989", "output": [ "c" ] }, { "id": "task1420-52fc64cf6b5545dc83253c65b96f037a", "input": "Problem: let n ~ be defined for all positive integers n as the remainder when ( n - 1 ) ! is divided by n . what is the value of 30 ~ ? \nOptions: a ) 1 , b ) 0 , c ) 2 , d ) 8 , e ) 31", "output": [ "b" ] }, { "id": "task1420-3bacac01a7e04b71bf5ddbd1d638c95c", "input": "Problem: if a : b = 4 : 1 , then find ( a - 3 b ) / ( 2 a - b ) ? \nOptions: a ) 6 / 7 , b ) 1 / 7 , c ) 5 / 7 , d ) 3 / 2 , e ) 4 / 7", "output": [ "b" ] }, { "id": "task1420-7629ce8cabe04c538409424d72da7181", "input": "Problem: the average age of a group of n people is 14 years old . one more person aged 32 joins the group and the new average is 15 years old . what is the value of n ? \nOptions: a ) 13 , b ) 14 , c ) 15 , d ) 16 , e ) 17", "output": [ "e" ] }, { "id": "task1420-9339b9514cb14945b991c8c4ab327ee2", "input": "Problem: of the goose eggs laid at a certain pond , 2 / 3 hatched and 3 / 4 of the geese that hatched from those eggs survived the first month . of the geese that survived the first month , 3 / 5 did not survive the first year . if 110 geese survived the first year and if no more than one goose hatched from each egg , how many goose eggs were laid at the pond ? \nOptions: a ) 280 , b ) 400 , c ) 540 , d ) 550 , e ) 840", "output": [ "d" ] }, { "id": "task1420-c2b11c31efda4ef0aecdf51c99eee8ca", "input": "Problem: a circular road runs around a circular garden . if the sum of the circumferences of the inner and outer circles is 88 metres and the radius of the inner circle is one - third of the outer circle , then the width of the road is : \nOptions: a ) 4 metres , b ) 5 metres , c ) 7 metres , d ) 6 metres , e ) 8 metres", "output": [ "c" ] }, { "id": "task1420-360424f6f7cf4672868ae19a8ed012aa", "input": "Problem: a group of 8 friends want to play doubles tennis . how many different ways can the group be divided into 4 teams of 2 people ? \nOptions: a ) 420 , b ) 2520 , c ) 168 , d ) 90 , e ) 105", "output": [ "e" ] }, { "id": "task1420-d26429812b664d7485327a9545ddf795", "input": "Problem: a , b , c , d , and e are positive consecutive integers and a < b < c < d < e . if the sum of a + b is one less than e , and the product of ab is one more than d , then what is the value of c ? \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "b" ] }, { "id": "task1420-68a60668888b40c095d4e0f934b85ba9", "input": "Problem: the smallest number when increased by ` ` 1 ` ` is exactly divisible by 12 , 18 , 24 , 32 and 40 is : \nOptions: a ) 1439 , b ) 1440 , c ) 1459 , d ) 1449 , e ) 1500", "output": [ "a" ] }, { "id": "task1420-aa6942437ba34f2eb259b90a282f9b1d", "input": "Problem: a library has an average of 140 visitors on sundays and 80 on other days . the average number of visitors per day in a month of 30 days beginning with a sunday is : \nOptions: a ) 90 , b ) 100 , c ) 105 , d ) 110 , e ) 125", "output": [ "a" ] }, { "id": "task1420-172d7581813143ed907a7415b3274be8", "input": "Problem: the visitors of a modern art museum who watched a certain picasso painting were asked to fill in a short questionnaire indicating whether they had enjoyed looking at the picture and whether they felt they had understood it . according to the results of the survey , all 110 visitors who did not enjoy the painting also did not feel they had understood the painting , and the number of visitors who enjoyed the painting was equal to the number of visitors who felt they had understood the painting . if 3 / 4 of the visitors who answered the questionnaire both enjoyed the painting and felt they had understood the painting , then how many visitors answered the questionnaire ? \nOptions: a ) 90 , b ) 120 , c ) 160 , d ) 360 , e ) 440", "output": [ "e" ] }, { "id": "task1420-ad64f271f21e4ce88abd521860e93500", "input": "Problem: mary and mike enter into a partnership by investing $ 550 and $ 450 respectively . at the end of one year , they divided their profits such that a third of the profit is divided equally for the efforts they have put into the business and the remaining amount of profit is divided in the ratio of the investments they made in the business . if mary received $ 1000 more than mike did , what was the profit made by their business in that year ? \nOptions: a ) $ 8000 , b ) $ 10000 , c ) $ 15000 , d ) $ 12000 , e ) $ 12500", "output": [ "c" ] }, { "id": "task1420-a5c00dec2962461895e7c8e10b8a2570", "input": "Problem: find the average of all prime numbers between 10 and 40 \nOptions: a ) 15.6 , b ) 22.5 , c ) 18.6 , d ) 32.2 , e ) 26.9", "output": [ "b" ] }, { "id": "task1420-96ac5d68d50947d086e6779089cae215", "input": "Problem: the average age of an adult class is 40 years . 12 new students with an avg age of 32 years join the class . therefore decreasing the average by 4 year . find what was theoriginal strength of class ? \nOptions: a ) 8 , b ) 12 , c ) 15 , d ) 17 , e ) 18", "output": [ "b" ] }, { "id": "task1420-f3735b4d3c5944b3b3ec9e74dcd2db2c", "input": "Problem: when 242 is divided by a certain divisor the remainder obtained is 4 . when 698 is divided by the same divisor the remainder obtained is 8 . however , when the sum of the two numbers 242 and 698 is divided by the divisor , the remainder obtained is 7 . what is the value of the divisor ? \nOptions: a ) 5 , b ) 17 , c ) 13 , d ) 23 , e ) none of these", "output": [ "a" ] }, { "id": "task1420-0dc01edf1d3b4cb58dd673159b58b438", "input": "Problem: a batch of cookies was divided amomg 4 tins : 2 / 3 of all the cookies were placed in either the blue or the green tin , and the rest were placed in the red tin . if 1 / 4 of all the cookies were placed in the blue tin , what fraction of the cookies that were placed in the other tins were placed in the green tin \nOptions: a ) 15 / 2 , b ) 9 / 4 , c ) 5 / 9 , d ) 7 / 5 , e ) 5 / 8", "output": [ "e" ] }, { "id": "task1420-045171dfb1474966bbdc31ec99e67652", "input": "Problem: a sum of money lent out at s . i . amounts to a total of $ 480 after 2 years and to $ 680 after a further period of 5 years . what was the initial sum of money that was invested ? \nOptions: a ) $ 360 , b ) $ 380 , c ) $ 400 , d ) $ 420 , e ) $ 440", "output": [ "c" ] }, { "id": "task1420-f227f1ae29f04a1ebaf3e74f6bc31f3b", "input": "Problem: for all numbers a and b , the operationis defined by ab = ( a + 2 ) ( b – 3 ) . if 3 y = – 30 , then y = \nOptions: a ) – 15 , b ) – 6 , c ) - 3 , d ) 6 , e ) 15", "output": [ "c" ] }, { "id": "task1420-fd1629fb64584bfc890eab5a4d6bb4f7", "input": "Problem: if 1 + 3 = 10 ; 3 + 5 = 52 ; 5 + 7 = 174 then 7 + 11 = ? \nOptions: a ) 354 , b ) 225 , c ) 654 , d ) 741 , e ) 464", "output": [ "e" ] }, { "id": "task1420-f111248bcbd44190a8182bc673b4c48b", "input": "Problem: a certain ball team has an equal number of right - and left - handed players . on a certain day , two - thirds of the players were absent from practice . of the players at practice that day , two - third were left handed . what is the ratio of the number of right - handed players who were not at practice that day to the number of lefthanded players who were not at practice ? \nOptions: a ) 1 / 3 , b ) 2 / 3 , c ) 5 / 7 , d ) 7 / 5 , e ) 3 / 2", "output": [ "d" ] }, { "id": "task1420-9da7d1083d094c82bf029b8fc29c1935", "input": "Problem: a family pays $ 800 per year for an insurance plan that pays 70 percent of the first $ 1,000 in expenses and 100 percent of all medical expenses thereafter . in any given year , the total amount paid by the family will equal the amount paid by the plan when the family ' s medical expenses total . \nOptions: a ) $ 1,000 , b ) $ 1,200 , c ) $ 1,400 , d ) $ 1,800 , e ) $ 2,200", "output": [ "c" ] }, { "id": "task1420-f9f4f358f5b74dc0819798e3e9e91129", "input": "Problem: if the average ( arithmetic mean ) of a and b is 110 , and the average of b and c is 170 , what is the value of a − c ? \nOptions: a ) − 120 , b ) − 100 , c ) 100 , d ) 135 , e ) it can not be determined from the information given", "output": [ "a" ] }, { "id": "task1420-8db968edc2d4493ab311a353ee685b5d", "input": "Problem: a whale goes on a feeding frenzy that lasts for 9 hours . for the first hour he catches and eats x kilos of plankton . in every hour after the first , it consumes 4 kilos of plankton more than it consumed in the previous hour . if by the end of the frenzy the whale will have consumed a whopping accumulated total 450 kilos of plankton , how many kilos did he consume on the sixth hour ? \nOptions: a ) 38 , b ) 47 , c ) 50 , d ) 53 , e ) 54", "output": [ "e" ] }, { "id": "task1420-51ebb25e449e44f487f14fba82d7406c", "input": "Problem: if the remainder is 16 when the integer n is divided by 30 , what is the remainder when 2 n is divided by 15 ? \nOptions: a ) 0 , b ) 2 , c ) 4 , d ) 6 , e ) 8", "output": [ "b" ] }, { "id": "task1420-9e2440b4c86f4afc91670cd674bd9fae", "input": "Problem: a , b and c started a business with a total investment of rs . 72000 . a invests rs . 6000 more than b and b invests rs . 3000 less than c . if the total profit at the end of a year is rs . 8640 , find b ' s share . \nOptions: a ) rs . 3240 , b ) rs . 2520 , c ) rs . 2880 , d ) rs . 3360 , e ) none of these", "output": [ "b" ] }, { "id": "task1420-ff144774b203402193b17ddc052f37fe", "input": "Problem: ( 3164 + 6160 ) / 28 \nOptions: a ) 380 , b ) 350 , c ) 333 , d ) 310 , e ) none of these", "output": [ "c" ] }, { "id": "task1420-9b14ad3ed182484dbdeb9358aa438eae", "input": "Problem: one day , connie plays a game with a fair 6 - sided die . connie rolls the die until she rolls a 6 , at which point the game ends . if she rolls a 6 on her first turn , connie wins 6 dollars . for each subsequent turn , connie wins 1 6 of the amount she would have won the previous turn . what is connie ' s expected earnings from the game ? \nOptions: a ) 32 / 31 , b ) 33 / 31 , c ) 34 / 31 , d ) 36 / 31 , e ) 0 / 31", "output": [ "d" ] }, { "id": "task1420-fd6ddf1362c443e58d94bdd0ab1c9d79", "input": "Problem: there is a 5 - digit number . the fifth digit is one fourth of the third digit and one half of the fourth digit . third digit is one half of the first digit . second digit is 5 more than the fifth digit . what is that 5 - digit number ? \nOptions: a ) 86421 , b ) 86424 , c ) 89421 , d ) 96421 , e ) 76421", "output": [ "a" ] }, { "id": "task1420-33c9af436f7048f5b8aacaaf836b5180", "input": "Problem: in a hostel , the number of students decreased by 8 % and the price of food increased by 20 % over the previous year . if each student consumes the same amount of food then by how much should the consumption of food be cut short by every student , so that the total cost of the food remains the same as that of the previous year ? \nOptions: a ) 19 % , b ) 15 % , c ) 25 % , d ) 40 % , e ) 9.4 %", "output": [ "e" ] }, { "id": "task1420-fbdb1f964b8049a9a2b3e9bd7683eeec", "input": "Problem: the average of 50 numbers id 56 . if two numbers , namely 45 and 55 are discarded , the average of the remaining numbers is : \nOptions: a ) 22.35 , b ) 33.25 , c ) 22.25 , d ) 51.35 , e ) 56.25", "output": [ "e" ] }, { "id": "task1420-166ef8f730b64d4dadeb2ccbf13b9181", "input": "Problem: 120 + 520 ÷ 5.00 = ? \nOptions: a ) 100 , b ) 150 , c ) 120 , d ) 520 , e ) none", "output": [ "e" ] }, { "id": "task1420-805be9fc26b0447cbb7f7bc32b3305e5", "input": "Problem: the average age of applicants for a new job is 20 , with a standard deviation of 8 . the hiring manager is only willing to accept applicants whose age is within one standard deviation of the average age . assuming that all applicants ' ages are integers and that the endpoints of the range are included , what is the maximum number of different ages of the applicants ? \nOptions: a ) 8 , b ) 16 , c ) 17 , d ) 18 , e ) 34", "output": [ "c" ] }, { "id": "task1420-0776089d0467485888cfc1c5a97e9afa", "input": "Problem: the cost to park a car in a certain parking garage is $ 10.00 for up to 2 hours of parking and $ 1.75 for each hour in excess of 2 hours . what is the average ( arithmetic mean ) cost per hour to park a car in the parking garage for 9 hours ? \nOptions: a ) $ 1.09 , b ) $ 1.67 , c ) $ 2.225 , d ) $ 2.47 , e ) $ 2.50", "output": [ "d" ] }, { "id": "task1420-f6d2933e78114b4d90b4610886e8cac8", "input": "Problem: find 96 × × 97 \nOptions: a ) 91 / 198 , b ) 91 / 12 , c ) 91 / 13 , d ) 91 / 10 , e ) 91 / 11", "output": [ "b" ] }, { "id": "task1420-31461c775df64af3b066d35aab185081", "input": "Problem: david is 18 years older than his daughter rosy . in 6 years david will be twice as old as rosy . what is rosy current age . \nOptions: a ) 12 , b ) 14 , c ) 18 , d ) 24 , e ) 23", "output": [ "a" ] }, { "id": "task1420-30130135b22548e4a7c6fc075cf24979", "input": "Problem: what is the value of n if the sum of the consecutive odd intergers q from 1 to n equals 169 ? \nOptions: a ) 47 , b ) 25 , c ) 37 , d ) 33 , e ) 29", "output": [ "b" ] }, { "id": "task1420-5f9707c98df749d9ae4b1df1e0fefd29", "input": "Problem: in a group of pigs and hens , the number of legs are 22 more than twice the number of heads . the number of pigs is \nOptions: a ) 5 , b ) 7 , c ) 10 , d ) 12 , e ) 11", "output": [ "e" ] }, { "id": "task1420-a1b3953902584bc1b2eaa5feb710de32", "input": "Problem: the mean proportional between 4 and 9 is ? \nOptions: a ) 33 , b ) 77 , c ) 35 , d ) 88 , e ) 29", "output": [ "b" ] }, { "id": "task1420-8f2dc588f59f426b9bd7a809a0a7a39d", "input": "Problem: subtracting 30 from a number , the remainder is one fourth of the number . find the number ? \nOptions: a ) 29 , b ) 88 , c ) 40 , d ) 28 , e ) 27", "output": [ "c" ] }, { "id": "task1420-4148c5bfa54b40e2bb2afae35b2fe879", "input": "Problem: a farmer has an apple orchard consisting of fuji and gala apple trees . due to high winds this year 10 % of his trees cross pollinated . the number of his trees that are pure fuji plus the cross - pollinated ones totals 136 , while 3 / 4 of all his trees are pure fuji . how many of his trees are pure gala ? \nOptions: a ) 24 , b ) 33 , c ) 55 , d ) 77 , e ) 88", "output": [ "a" ] }, { "id": "task1420-bd619c58453d4d07877f4aa8ce88b132", "input": "Problem: marcella has 20 pairs of shoes . if she loses 9 individual shoes , what is the greatest number of matching pairs she could have left ? \nOptions: a ) 21 , b ) 20 , c ) 19 , d ) 16 , e ) 15", "output": [ "e" ] }, { "id": "task1420-1a778c8c9f6643b384e9285523b8e6e4", "input": "Problem: virginia , adrienne , and dennis have taught history for a combined total of 102 years . if virginia has taught for 9 more years than adrienne and for 9 fewer years than dennis , for how many years has dennis taught ? \nOptions: a ) 23 , b ) 32 , c ) 35 , d ) 43 , e ) 44", "output": [ "d" ] }, { "id": "task1420-2993d6089982401fb9910d907fdfe354", "input": "Problem: a certain taxi company charges $ 2.80 for the first 1 / 5 of a mile plus $ 0.40 for each additional 1 / 5 of a mile . what would this company charge for a taxi ride that was 8 miles long ? \nOptions: a ) 15.6 , b ) 16.0 , c ) 18.4 , d ) 18.7 , e ) 19.1", "output": [ "c" ] }, { "id": "task1420-df4356780e2b48d0a6621bcb92c3abb1", "input": "Problem: if 45 - [ 28 - { 37 - ( 15 - * ) } ] = 59 , then * is equal to : \nOptions: a ) - 29 , b ) - 19 , c ) 20 , d ) 29 , e ) 39", "output": [ "c" ] }, { "id": "task1420-24a3bf77db54481fbb27572db0d7229d", "input": "Problem: if the arithmetic mean of p and q is 10 and the arithmetic mean of q and r is 27 , what is the value of r - p ? \nOptions: a ) 20 , b ) 10 , c ) 34 , d ) 40 , e ) 5", "output": [ "c" ] }, { "id": "task1420-75fd1fa35510400c911572234cead085", "input": "Problem: if x = 1 - 4 t and y = 2 t - 2 , then for what value of t does x = y ? \nOptions: a ) 5 / 2 , b ) 1 / 2 , c ) 2 / 3 , d ) 2 / 5 , e ) 0", "output": [ "b" ] }, { "id": "task1420-9dbfd8da227e4692bf06628317f15b7c", "input": "Problem: the product z of two prime numbers is between 20 and 60 . if one of the prime numbers is greater than 2 but less than 6 and the other is greater than 18 but less than 36 then what is z ? \nOptions: a ) 21 , b ) 35 , c ) 39 , d ) 51 , e ) 57", "output": [ "e" ] }, { "id": "task1420-322f614481e349aea73ef47938782aaf", "input": "Problem: the smallest value of n , for which 2 n is not a prime number , is \nOptions: a ) 2 , 3,4 , b ) 1 , 3,5 , c ) 2 , 5,6 , d ) 4 , 8,9 , e ) 12 , 14,16", "output": [ "a" ] }, { "id": "task1420-517453e93f5843e5999bb0b0fbcfe381", "input": "Problem: the total of 344 of 20 paise and 25 paise make a sum of rs . 71 . the no of 20 paise coins is \nOptions: a ) 238 , b ) 277 , c ) 278 , d ) 200 , e ) 300", "output": [ "e" ] }, { "id": "task1420-53ff8474724d4b169495fb44f301f6e4", "input": "Problem: find two integers , neither of which ends in a zero , and whose product is exactly 10 , 000,000 \nOptions: a ) 64 and 15,625 , b ) 60 and 15,625 , c ) 64 and 15,620 , d ) 64 and 15,635 , e ) 128 and 78,125", "output": [ "e" ] }, { "id": "task1420-3c13d45194ab4dea934f52769faca631", "input": "Problem: if the sum of two numbers is 18 and the sum of their squares is 220 , then the product of the numbers is \nOptions: a ) 40 , b ) 44 , c ) 52 , d ) 88 , e ) 90", "output": [ "c" ] }, { "id": "task1420-0e795ae9bf6b4704a05ad1179e98b4aa", "input": "Problem: 3 numbers are such that the second is as much lesser than thr third as the first is lesser than the second . if the product of the two smaller numbers is 85 and product of two larger number is 115 then find the middle number \nOptions: a ) 8 , b ) 9 , c ) 10 , d ) 12 , e ) 15", "output": [ "c" ] }, { "id": "task1420-72879ad30bf542beb474e807aec35257", "input": "Problem: a sum of rs . 312 was divided among 100 boys and girls in such a way that each boy gets rs . 3.60 and each girl rs . 2.40 . \nOptions: a ) 45 , b ) 49 , c ) 52 , d ) 60 , e ) 74", "output": [ "d" ] }, { "id": "task1420-e8dfd1b8577c4554b0d6dfc4e2312096", "input": "Problem: a certain clock marks every hour by striking a number of times equal to the hour , and the time require for a stroke is exactly equal to the time interval between strokes . at 6 : 00 the time lapse between the beginning of the first stoke and the end of the last stroke is 22 seconds . at 10 : 00 , how many seconds elapse between the beginning of the first stroke and the end of the last stroke ? \nOptions: a ) 42 , b ) 36 , c ) 46 , d ) 38 , e ) 40", "output": [ "d" ] }, { "id": "task1420-b92244789a5d494b98c27ec73475f740", "input": "Problem: in a certain country 1 / 5 of 8 = 4 . assuming the same proportion , what would be the value of 1 / 4 of 16 ? \nOptions: a ) 13 , b ) 12 , c ) 10 , d ) 16 , e ) 14", "output": [ "c" ] }, { "id": "task1420-c59c770566b34a539e7711f7b0219b0b", "input": "Problem: if 4 / ( 1 + 3 / x ) = 1 , then x = \nOptions: a ) 3 , b ) 1 , c ) 1 / 3 , d ) - 1 / 3 , e ) - 3", "output": [ "b" ] }, { "id": "task1420-abdefa64a7fd4ea7a03403faf435b637", "input": "Problem: sum of 24 odd numbers is ? \nOptions: a ) 572 , b ) 573 , c ) 574 , d ) 575 , e ) 576", "output": [ "e" ] }, { "id": "task1420-39b17b4aa37c4889a9c5c60fb8ba35e5", "input": "Problem: last year , for every 100 million vehicles that traveled on a certain highway , 100 vehicles were involved in accidents . if 2 billion vehicles traveled on the highway last year , how many of those vehicles were involved in accidents ? ( 1 billion = 1,000 , 000,000 ) \nOptions: a ) 500 , b ) 1500 , c ) 2500 , d ) 2000 , e ) 1000", "output": [ "d" ] }, { "id": "task1420-8fa7c27c493c4f3a85cbe4622dd33064", "input": "Problem: if x , y , and z are positive real numbers such that x + y - z = 62 , y - z + x = 82 , and z - x + y = 100 , then find the x + y + z value ? \nOptions: a ) 80 , b ) 91 , c ) 62 , d ) 74 , e ) 82", "output": [ "e" ] }, { "id": "task1420-eb895742993840d591062930ef2286c2", "input": "Problem: alan buys 4 tvs , a 26 inch , a 28 inch , a 30 inch , and a 32 inch , for his new house . each tv costs $ 200 more than the size below it . alan spends a total of $ 3,200 . how much would he have spent if he had bought only the 28 inch and 30 inch tvs ? \nOptions: a ) 850 , b ) 1,600 , c ) 1,700 , d ) 2,550 , e ) 3,400", "output": [ "b" ] }, { "id": "task1420-1bd8417c20504e63bff26e7c881e15a2", "input": "Problem: find the smallest number of 6 digits exactly divisible by 25 , 3545 and 15 . \nOptions: a ) 100555 , b ) 100775 , c ) 100885 , d ) 100995 , e ) 100665", "output": [ "b" ] }, { "id": "task1420-64238ebeb6b44abaa383642a2520015b", "input": "Problem: what are the last two digits of 63 * 35 * 37 * 82 * 71 * 41 * 53 ? \nOptions: a ) 10 , b ) 30 , c ) 40 , d ) 70 , e ) 80", "output": [ "e" ] }, { "id": "task1420-00961cd520144143bde424d038818f8a", "input": "Problem: on dividing a number by 5 , we get 2 as quotient and 0 as remainder . on dividing the same number by 4 , what will be the remainder ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4", "output": [ "c" ] }, { "id": "task1420-0b41bcd842b5462598f35cf91fa47e67", "input": "Problem: a sporting goods store sold 64 frisbees in one week , some for $ 3 and the rest for $ 4 each . if receipts from frisbee sales for the week totaled $ 196 what is the fewest number of $ 4 frisbees that could have been sold ? \nOptions: a ) 24 , b ) 12 , c ) 8 , d ) 2 , e ) 4", "output": [ "e" ] }, { "id": "task1420-8964dc185b8a4f5b8a9aeec43a1a3b1b", "input": "Problem: a batsman scored 150 runs which included 3 boundaries and 8 sixes . what percent of his total score did he make by running between the wickets ? \nOptions: a ) 45 ( 4 / 11 ) % , b ) 60 % , c ) 45 ( 5 / 11 ) % , d ) 44 ( 5 / 11 ) % , e ) none of these", "output": [ "b" ] }, { "id": "task1420-ad21a2cb2a2e48f1bcb707620f44d2a5", "input": "Problem: each of the products produced yesterday was checked by worker x or worker y . 0.5 % of the products checked by worker x are defective and 0.8 % of the products checked by worker y are defective . if the total defective rate of all the products checked by worker x and worker y is 0.7 % , what fraction of the products was checked by worker y ? \nOptions: a ) 2 / 3 , b ) 5 / 6 , c ) 7 / 8 , d ) 4 / 5 , e ) 5 / 8", "output": [ "a" ] }, { "id": "task1420-36652a976a3f4939a113188ea201600d", "input": "Problem: the average age of a group of persons going for picnic is 16 years . 12 new persons with an average age of 15 years join the group on the spot due to which their average age becomes 15.5 years . the number of persons initially going for picnic is \nOptions: a ) 5 , b ) 10 , c ) 12 , d ) 40 , e ) 50", "output": [ "c" ] }, { "id": "task1420-9746f220783d41a29429d80e67b22217", "input": "Problem: if a ( a - 4 ) = 21 and b ( b - 4 ) = 21 , where a ≠ b , then a + b = \nOptions: a ) − 48 , b ) − 2 , c ) 4 , d ) 46 , e ) 48", "output": [ "c" ] }, { "id": "task1420-7b634978353c456988f03f2e1826c9d7", "input": "Problem: the prices of tea and coffee per kg were the same in june . in july the price of coffee shot up by 20 % and that of tea dropped by 20 % . if in july , a mixture containing equal quantities of tea and coffee costs 70 / kg . how much did a kg of coffee cost in june ? \nOptions: a ) 70 , b ) 60 , c ) 80 , d ) 100 , e ) 120", "output": [ "a" ] }, { "id": "task1420-3cb67b6e641b475b90a87a7d5fc33e62", "input": "Problem: let raj be 3 years older than ravi and hema be two years younger than ravi . raj is 3 times as old as rahul who is hema ’ s brother . the ratio of the ages of hema and her brother is 3 : 2 . find by how much percentage raj ’ s age is more than hema ’ s when raj will be 20 years old . \nOptions: a ) 33.33 , b ) 27.33 , c ) 28.38 , d ) 29.37 , e ) 28.31", "output": [ "a" ] }, { "id": "task1420-5edc05a83a5144c2b63692974be2ae7b", "input": "Problem: what is the sum of all 3 digit nos formed by { 1 , 3,5 , 7,9 } with nos not repeated \nOptions: a ) 33300 , b ) 34500 , c ) 38500 , d ) 39800 , e ) 45200", "output": [ "a" ] }, { "id": "task1420-83d4261022d4481dbe02209574d36bcd", "input": "Problem: mr . kramer , the losing candidate in a two - candidate election , received 942,568 votes , which was exactly 40 percent of all votes cast . approximately what percent of the remaining votes would he need to have received in order to have won at least 50 percent of all the votes cast ? \nOptions: a ) 10 % , b ) 12 % , c ) 15 % , d ) 17 % , e ) 20 %", "output": [ "d" ] }, { "id": "task1420-6e5ee775f1ed44e8b33b6b6a1e9b23fa", "input": "Problem: if x is 12 percent greater than 70 , then x = \nOptions: a ) 78.4 , b ) 91.0 , c ) 88.0 , d ) 70.4 , e ) 71.2", "output": [ "a" ] }, { "id": "task1420-1794c0c0a4f14b2fb952886826956bdf", "input": "Problem: a man purchased 3 blankets @ rs . 100 each , 6 blankets @ rs . 150 each and two blankets at a certain rate which is now slipped off from his memory . but he remembers that the average price of the blankets was rs . 150 . find the unknown rate of two blankets ? \nOptions: a ) a ) 300 , b ) b ) 350 , c ) c ) 450 , d ) d ) 470 , e ) e ) 500", "output": [ "a" ] }, { "id": "task1420-466ac804c16c4eea9a55bb1ad50daf85", "input": "Problem: joan and karl each bought a telescopes and the sum of their purchases was $ 400 . if twice of what joan paid was $ 74 more than what karl paid , what did joan pay for her telescope ? \nOptions: a ) $ 150 , b ) $ 152 , c ) $ 154 , d ) $ 156 , e ) $ 158", "output": [ "e" ] }, { "id": "task1420-9cf8abcd92bb4933b6c9bb3ec14c6b16", "input": "Problem: laura took out a charge account at the general store and agreed to pay 7 % simple annual interest . if she charges $ 35 on her account in january , how much will she owe a year later , assuming she does not make any additional charges or payments ? \nOptions: a ) $ 2.10 , b ) $ 37.10 , c ) $ 37.45 , d ) $ 38.10 , e ) $ 38.80", "output": [ "c" ] }, { "id": "task1420-29f93c5283eb4277b37ab0a7660e7277", "input": "Problem: if p ( a ) = 6 / 17 , p ( b ) = 5 / 17 , and p ( a ∪ b ) = 4 / 17 find p ( b | a ) ? \nOptions: a ) 2 / 3 , b ) 3 / 5 , c ) 2 / 7 , d ) 3 / 7 , e ) 4 / 9", "output": [ "a" ] }, { "id": "task1420-a864f5a33bc942888021a7b67e79c652", "input": "Problem: we run a business that rents out canoes and kayaks . a canoe rental costs $ 11 per day , and a kayak rental costs $ 16 dollars per day . one day , our business rents out 4 canoes for every 3 kayaks and receives a total of $ 460 in revenue . how many more canoes than kayaks were rented out ? \nOptions: a ) 8 , b ) 7 , c ) 6 , d ) 5 , e ) 4", "output": [ "d" ] }, { "id": "task1420-3c6744b0c1b948468a83f65d1795be5f", "input": "Problem: ashok secured average of 80 marks in 6 subjects . if the average of marks in 5 subjects is 74 , how many marks did he secure in the 6 th subject ? \nOptions: a ) 38 , b ) 27 , c ) 99 , d ) 110 , e ) 80", "output": [ "d" ] }, { "id": "task1420-96e24bd670434bb19cee15736c4beca7", "input": "Problem: sum of two numbers is 50 . two times of the difference of first and seceond is 20 . then the numbers will be ? \nOptions: a ) 10 , 40 , b ) 20 , 30 , c ) 35 , 15 , d ) 30 , 20 , e ) 15 , 35", "output": [ "d" ] }, { "id": "task1420-9a24881c5fdd46a09c850d8546872482", "input": "Problem: a person deposits 1 / 16 of his income as provident fund and 1 / 15 of the remaining as insurance premium . if he spends 5 / 7 of the balance on domestic needs and deposits an amount of rs . 50 in the bank , his total income would be \nOptions: a ) 150 , b ) 200 , c ) 250 , d ) 300 , e ) 350", "output": [ "b" ] }, { "id": "task1420-af98e88f8ab744c5a6a5981a75a2b8d4", "input": "Problem: if | 20 x - 10 | = 150 , then find the product of the values of x ? \nOptions: a ) - 45 , b ) 56 , c ) - 62 , d ) 35 , e ) - 30", "output": [ "b" ] }, { "id": "task1420-75011a6d24e54f0ca0592afc63aa5313", "input": "Problem: find a sum for 1 st 4 prime number ' s ? \nOptions: a ) 25 , b ) 17 , c ) 30 , d ) 34 , e ) 36", "output": [ "b" ] }, { "id": "task1420-f96e635f4f024c559f15e0075ae59f0d", "input": "Problem: how many integers between 324,700 and 375,600 have tens digit 1 and units digit 3 ? \nOptions: a ) 509 , b ) 624 , c ) 756 , d ) 832 , e ) 947", "output": [ "a" ] }, { "id": "task1420-f3fc88e9831242be947eeff3947deac0", "input": "Problem: the sum of ages of 4 children born 4 years different each is 48 yrs . what is the age of the elder child ? \nOptions: a ) 8 , b ) 9 , c ) 16 , d ) 17 , e ) 18", "output": [ "e" ] }, { "id": "task1420-1ec32e033c9e4c6f886b8a0c3fe61c03", "input": "Problem: alok ordered 16 chapatis , 5 plates of rice , 7 plates of mixed vegetable and 6 ice - cream cups . the cost of each chapati is rs . 6 , that of each plate of rice is rs . 45 and that of mixed vegetable is rs . 70 . the amount that alok paid the cashier was rs . 1021 . find the cost of each ice - cream cup ? \nOptions: a ) 35 , b ) 66 , c ) 77 , d ) 99 , e ) 91", "output": [ "a" ] }, { "id": "task1420-88627ae02b2949048b2f5ecd482c4cab", "input": "Problem: when x is multiplied by 3 , the result is 4 more than the result of subtracting x from 16 . what is the value of x ? \nOptions: a ) - 4 , b ) - 2 , c ) 5 , d ) 13 , e ) 22", "output": [ "c" ] }, { "id": "task1420-e04c125efeea4ce8b59d48c0b85d0273", "input": "Problem: a certain bus driver is paid a regular rate of $ 18 per hour for any number of hours that does not exceed 40 hours per week . for any overtime hours worked in excess of 40 hours per week , the bus driver is paid a rate that is 75 % higher than his regular rate . if last week the bus driver earned $ 976 in total compensation , how many total hours did he work that week ? \nOptions: a ) 36 , b ) 40 , c ) 44 , d ) 48 , e ) 52", "output": [ "d" ] }, { "id": "task1420-2ef55d6af3f947cab8b207e199f1b03a", "input": "Problem: for the past n days , the average ( arithmetic mean ) daily production at a company was 50 units . if today ' s production of 90 units raises the average to 54 units per day , what is the value of n ? \nOptions: a ) 30 , b ) 18 , c ) 10 , d ) 9 , e ) 7", "output": [ "d" ] }, { "id": "task1420-45bccf96afa247ecb5263a98d95f5c72", "input": "Problem: a , b and c rents a pasture for rs . 1073 . a put in 12 horses for 8 months , b 16 horses for 9 months and 18 horses for 6 months . how much should c pay ? \nOptions: a ) 270 , b ) 289 , c ) 267 , d ) 255 , e ) 333", "output": [ "e" ] }, { "id": "task1420-1f58f66d22f5469c9deddb84a4c34946", "input": "Problem: each child has 6 crayons and 12 apples . if there are 12 children , how many crayons are there in total ? \nOptions: a ) 22 , b ) 65 , c ) 72 , d ) 78 , e ) 90", "output": [ "c" ] }, { "id": "task1420-4aeea977a7014a058e0841719882523f", "input": "Problem: he average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 70 kg . what might be the weight of the new person ? \nOptions: a ) 90 kg , b ) 55 kg , c ) 45 kg , d ) 85 kg , e ) 25 kg", "output": [ "a" ] }, { "id": "task1420-a34dbb7d00b14437a667498c01d04dc1", "input": "Problem: a fruit - salad mixture consists of apples , peaches , and grapes in the ratio 12 : 8 : 7 , respectively , by weight . if 54 pounds of the mixture is prepared , the mixture includes how many more pounds of apples than grapes ? \nOptions: a ) 15 , b ) 10 , c ) 9 , d ) 6 , e ) 4", "output": [ "b" ] }, { "id": "task1420-0d2d420a4d534fdf93fd5afa9f6798d9", "input": "Problem: on a certain date , pat invested $ 6,000 at x percent annual interest , compounded annually . if the total value of the investment plus interest at the end of 10 years will be $ 24,000 , in how many years total will the total value of the investment plus interest increase to $ 48,000 ? \nOptions: a ) 15 , b ) 16 , c ) 18 , d ) 20 , e ) 24", "output": [ "a" ] }, { "id": "task1420-96e7657508524083a04085cb13279f4d", "input": "Problem: carrie likes to buy t - shirts at the local clothing store . they cost $ 8.75 each . one day , she bought 18 t - shirts . how much money did she spend ? \nOptions: a ) $ 150 , b ) $ 70 , c ) $ 200 , d ) $ 171.6 , e ) $ 190", "output": [ "b" ] }, { "id": "task1420-23f3869f5fc34eef8c473d06e639e1af", "input": "Problem: a certain car traveled twice as many miles from town a to town b as it did from town b to town c . from town a to town b , the car averaged 10 miles per gallon , and from town b to town c , the car averaged 12 miles per gallon . what is the average miles per gallon that the car achieved on its trip from town a through town b to town c ? \nOptions: a ) 11.5 , b ) 9.5 , c ) 13.5 , d ) 10.6 , e ) 14.5", "output": [ "d" ] }, { "id": "task1420-751756a6654d4413bfe8e73ecd07e6b3", "input": "Problem: the sum of first n consecutive odd integers is n ^ 2 . what is the sum of all odd integers between 15 and 41 inclusive . \nOptions: a ) 351 , b ) 392 , c ) 410 , d ) 424 , e ) 450", "output": [ "b" ] }, { "id": "task1420-b28a37cb5db14c3b915fd104e363c7f9", "input": "Problem: if 3 / w + 3 / x = 3 / y and wx = y , then the average ( arithmetic mean ) of w and x is \nOptions: a ) 1 / 2 , b ) 1 , c ) 2 , d ) 4 , e ) 8", "output": [ "a" ] }, { "id": "task1420-31c6c002848343b5802d750daf80adb3", "input": "Problem: a , b and c rents a pasture for rs . 1130 . a put in 12 horses for 8 months , b 16 horses for 9 months and 18 horses for 6 months . how much should c pay ? \nOptions: a ) 270 , b ) 199 , c ) 351 , d ) 156 , e ) 122", "output": [ "c" ] }, { "id": "task1420-e83906ee68b643f2b75b8da8a2ace4ee", "input": "Problem: if a , b , c , d , e and f are integers and ( ab + cdef ) < 0 , then what is the maximum number a of integers that can be negative ? \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6", "output": [ "d" ] }, { "id": "task1420-e1f6a090fcbd471bae0f55153795ff83", "input": "Problem: find the remainder when 2 ^ 31 is divided by 5 . \nOptions: a ) 3 , b ) 7 , c ) 1 , d ) 9 , e ) none of them", "output": [ "a" ] }, { "id": "task1420-9638bbcede5b4df79d58e4e5fd735576", "input": "Problem: each week , harry is paid x dollars per hour for the first 30 hours and 1.5 x dollars for each additional hour worked that week . each week , james is paid x dollars per per hour for the first 40 hours and 2 x dollars for each additional hour worked that week . last week james worked a total of 45 hours if harry and james were paid the same amount last week , how many hours did harry work last week ? \nOptions: a ) 35 , b ) 36 , c ) 37 , d ) 43 , e ) 39", "output": [ "d" ] }, { "id": "task1420-4fb3379743e948b9b840de39f428977f", "input": "Problem: the average salary of all the workers in a workshop is rs . 8000 . the average salary of 7 technicians is rs . 10000 and the average salary of the rest is rs . 6000 . the total number of workers in the workshop is \nOptions: a ) 20 , b ) 21 , c ) 22 , d ) 23 , e ) 14", "output": [ "e" ] }, { "id": "task1420-7ecfc880f21c4f0ca0cb1bea245ba4ab", "input": "Problem: a number when divided by 44 , gives 400 as quotient and 0 as remainder . what will be the remainder when dividing the same number by 35 \nOptions: a ) a ) 30 , b ) b ) 3 , c ) c ) 4 , d ) d ) 6 , e ) e ) 7", "output": [ "a" ] }, { "id": "task1420-9d507f65de724d4692efda1e6ea91f7e", "input": "Problem: a jogger running at 9 km / hr along side a railway track is 180 m ahead of the engine of a 120 m long train running at 45 km / hr in the same direction . in how much time will the train pass the jogger ? \nOptions: a ) 89 , b ) 20 , c ) 36 , d ) 88 , e ) 30", "output": [ "e" ] }, { "id": "task1420-8b2c8b90708947999fc5c73a88fd493c", "input": "Problem: arjun started a business with rs . 5,000 and is joined afterwards by anoop with rs . 10 , 000 . after how many months did anoop join if the profits at the end of the year are divided equally ? \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "d" ] }, { "id": "task1420-9df86f638e9641569ce90e515a63570e", "input": "Problem: when positive integer n is divided by positive integer j , the remainder is 14 . if n / j = 213.28 , what is value of j ? \nOptions: a ) 30 , b ) 35 , c ) 40 , d ) 50 , e ) 60", "output": [ "d" ] }, { "id": "task1420-794106b9db6b46259c4bf75f4383fa31", "input": "Problem: if a and b are positive integers , and a = 2 b + 6 , the greatest common divisor of a and b can not be \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 6 , e ) 12", "output": [ "e" ] }, { "id": "task1420-dd29b5288d54496db1960758fef39223", "input": "Problem: a , b and c rents a pasture for rs . 870 . a put in 12 horses for 8 months , b 16 horses for 9 months and 18 horses for 6 months . how much should c pay ? \nOptions: a ) 180 , b ) 270 , c ) 360 , d ) 500 , e ) 550", "output": [ "b" ] }, { "id": "task1420-c1092d88e72b4346ba9ae0168c102522", "input": "Problem: find the lowest positive integer that can be divided by all the even numbers between 14 and 21 . \nOptions: a ) 4581 , b ) 5040 , c ) 3682 , d ) 1231 , e ) 1563", "output": [ "b" ] }, { "id": "task1420-60ebfde8c1e243b69062804f885adeef", "input": "Problem: each week , harry is paid x dollars per hour for the first 30 hours and 2 x dollars for each additional hour worked that week . each week , james is paid x dollars per per hour for the first 40 hours and 2 x dollars for each additional hour worked that week . last week james worked a total of 41 hours if harry and james were paid the same amount last week , how many hours did harry work last week ? \nOptions: a ) 35 , b ) 36 , c ) 37 , d ) 38 , e ) 39", "output": [ "b" ] }, { "id": "task1420-94c807d2080e4effbaecc15aefeb6141", "input": "Problem: the average weight of 22 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg . find the average weights of all the boys in the class . \nOptions: a ) 48.89 , b ) 42.25 , c ) 50 , d ) 51.25 , e ) 52.25", "output": [ "a" ] }, { "id": "task1420-033ed6bccea24aacbf7b92f2608bc9fc", "input": "Problem: what is the greatest prime factor of 4 ^ 17 - 2 ^ 29 ? \nOptions: a ) 2 , b ) 3 , c ) 5 , d ) 7 , e ) 31", "output": [ "e" ] }, { "id": "task1420-86628b0cee4e4be09a054c634a0370ff", "input": "Problem: ( 51 + 52 + 53 + . . . + 100 ) = ? \nOptions: a ) 2525 , b ) 2975 , c ) 3225 , d ) 3775 , e ) 2753", "output": [ "d" ] }, { "id": "task1420-be117857177148c593df7a6d69a7015b", "input": "Problem: for a certain exam , a score of 86 was 5 standard deviations above mean and a score of 67 was 2.5 standard deviations above mean . what was the mean score for the exam ? \nOptions: a ) 50 , b ) 55 , c ) 48 , d ) 42 , e ) 49", "output": [ "c" ] }, { "id": "task1420-3b6e3b194c7a4a9d8e72bfef46de7a23", "input": "Problem: 4 different children have jelly beans : aaron has 5 , bianca has 7 , callie has 8 , and dante has 9 . how many jelly beans must dante give to aaron to ensure that no child has more than 1 fewer jelly beans than any other child ? \nOptions: a ) 1 , b ) 3 , c ) 4 , d ) 5 , e ) 6", "output": [ "a" ] }, { "id": "task1420-0fd7e6fa051c4a7395fc6b98b5fc8406", "input": "Problem: in the xy - plane the point ( - 2 - 3 ) is the centre of a circle , the point ( - 2 , 3 ) lies inside the circle and the point ( 6 , - 3 ) lies outside the circle . if the radius r of the circle r is an integer then r = \nOptions: a ) 6 , b ) 5 , c ) 4 , d ) 7 , e ) 2", "output": [ "d" ] }, { "id": "task1420-81acb93cfec14dc299261e5e8e919c86", "input": "Problem: 1 / 3 + 1 / 2 - 5 / 6 + 1 / 5 + 1 / 4 - 9 / 20 - 9 / 20 = \nOptions: a ) 0 , b ) 2 / 15 , c ) 2 / 5 , d ) 9 / 20 , e ) 5 / 6", "output": [ "d" ] }, { "id": "task1420-52fcdc18720b48f3b8af7f2fcbfdf5d9", "input": "Problem: if you write down all the numbers from 1 to 100 , then how many multiples of 3 ? \nOptions: a ) a ) 32 , b ) b ) 38 , c ) c ) 30 , d ) d ) 31 , e ) e ) 33", "output": [ "e" ] }, { "id": "task1420-d7d2e0aea731463dbd9181e7de0132ec", "input": "Problem: when positive integer x is divided by 11 , the quotient is y and the remainder is 4 . when 2 x is divided by 8 , the quotient is 3 y and the remainder is 1 . what is the value of 13 y – x ? \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6", "output": [ "b" ] }, { "id": "task1420-cf4070336a6245738c3b3ae3da0734db", "input": "Problem: mother , her daughter and her grand child weighs 140 kg . daughter and her daughter ( child ) weighs 60 kg . child is 1 / 5 th of her grand mother . what is the age of the daughter ? \nOptions: a ) 44 , b ) 47 , c ) 48 , d ) 49 , e ) 50", "output": [ "a" ] }, { "id": "task1420-6cbebfd645b44f6fa1781eecf408c427", "input": "Problem: oil cans x and y are right circular cylinders and the height and radius of y are each thrice those of x . if the oil in can x filled to capacity sells for $ 4 , how much does the oil in y sell for if y is only 1 / 3 rd filled ? \nOptions: a ) $ 30 , b ) $ 25 , c ) $ 36 , d ) $ 40 , e ) $ 28", "output": [ "c" ] }, { "id": "task1420-90b8eb77ede94941b180c1541f5c1430", "input": "Problem: the total age of a and b is 15 years more than the total age of b and c . c is how many year younger than \nOptions: a ) 14 years , b ) 12 years , c ) 56 years , d ) 66 years , e ) 15 years", "output": [ "e" ] }, { "id": "task1420-f0fd0e14c0e84792b0fe92ddd3203178", "input": "Problem: if x is a positive number and 1 / 2 the square root of x is the cube root of x , then x = \nOptions: a ) 64 , b ) 32 , c ) 16 , d ) 4 , e ) 1", "output": [ "a" ] }, { "id": "task1420-234e606993f34145b84ae92f9dadf826", "input": "Problem: in a class of 40 students , 5 students did not borrow any books from the library , 15 students each borrowed 1 book , 10 students each borrowed 2 books , and the rest of the students each borrowed at least 3 books . if the average ( arithmetic mean ) number of books borrowed per student was 2 , what is the maximum number of books that any single student could have borrowed ? \nOptions: a ) 3 , b ) 5 , c ) 8 , d ) 13 , e ) 18", "output": [ "e" ] }, { "id": "task1420-e62a34a76f194a6a9e93a7389b8ee113", "input": "Problem: if 50 % of a number is equal to one - third of another number , what is the ratio of first number to the second number ? \nOptions: a ) 2 : 5 , b ) 1 : 4 , c ) 3 : 7 , d ) 6 : 11 , e ) 2 : 3", "output": [ "e" ] }, { "id": "task1420-5f5f0961866b432991dadedc18e3046b", "input": "Problem: two men amar and bhuvan have the ratio of their monthly incomes as 6 : 5 . the ratio of their monthly expenditures is 3 : 2 . if bhuvan saves one - fourth of his income , find the ratio of their monthly savings ? a . 3 : 5 \nOptions: a ) 3 : 9 , b ) 3 : 10 , c ) 3 : 21 , d ) 3 : 12 , e ) 3 : 14", "output": [ "b" ] }, { "id": "task1420-a1388ecf3222422182290d99cb6c88a0", "input": "Problem: what is the sum of the greatest common factor and the lowest common multiple of 12 and 48 ? \nOptions: a ) 20 , b ) 60 , c ) 40 , d ) 56 , e ) 20", "output": [ "b" ] }, { "id": "task1420-2d1dbceb4924409487b25e9c6cff21fd", "input": "Problem: the average speed of a car is 1 4 / 5 times the avg speed of a bike . a tractor covers 575 km in 25 hrs . how much distance will the car cover in 4 hrs if the speed of the bike is twice speed of the tractor ? \nOptions: a ) 400 km , b ) 500 km , c ) 331.2 km , d ) 550 km , e ) 600 km", "output": [ "c" ] }, { "id": "task1420-8b8d2a389f2d43478e8f8b47b60a0005", "input": "Problem: find the product of the localvalue and absolutevalue of 1 in 20168 ? \nOptions: a ) 100 , b ) 110 , c ) 151 , d ) 120 , e ) 140", "output": [ "a" ] }, { "id": "task1420-dcec153824994f1c981406e46f2e24c6", "input": "Problem: the toll t , in dollars , for a truck using a certain bridge is given by the formula t = 1.50 + 0.50 ( x − 2 ) , where x is the number of axles on the truck . what is the toll for an 18 - wheel truck that has 2 wheels on its front axle and 2 wheels on each of its other axles ? \nOptions: a ) $ 2.50 , b ) $ 3.00 , c ) $ 3.50 , d ) $ 4.00 , e ) $ 5.00", "output": [ "e" ] }, { "id": "task1420-667178c730bf4ebcb95c969b66fd716c", "input": "Problem: if 1 / ( x + 5 ) + 1 / ( x - 5 ) = 1 / ( x - 5 ) , what is the value of x ? \nOptions: a ) - 1 , b ) 3 , c ) 1 , d ) 2 , e ) 5", "output": [ "e" ] }, { "id": "task1420-a2cc237831d445b7b648f8f89b1ddf37", "input": "Problem: a sum of rs . 66000 is divided into 3 parts such that the simple interests accrued on them for 6 , two and 11 years respectively may be equal . find the amount deposited for 11 years . \nOptions: a ) 6500 , b ) 2000 , c ) 4500 , d ) 3000 , e ) 6000", "output": [ "e" ] }, { "id": "task1420-344aadf1e4d24b9daa94514044d9dd6e", "input": "Problem: find the value of x ? ( 2 / 7 ) ^ - 8 * ( 7 / 2 ) ^ - 2 = ( 2 / 7 ) ^ x \nOptions: a ) - 5 , b ) - 6 , c ) 4 , d ) 0 , e ) - 4", "output": [ "b" ] }, { "id": "task1420-b748dd1c9225481a88e3ccdaecadc9db", "input": "Problem: the sum of the ages of 4 children born at the intervals of 1 years each is 12 years . what is the age of the youngest child ? \nOptions: a ) 2.5 , b ) 1.5 , c ) 1 , d ) 3.5 , e ) 4.5", "output": [ "b" ] }, { "id": "task1420-b40a32b707a245debf9184ebb22a15a8", "input": "Problem: if 2994 ã · 14.5 = 173 , then 29.94 ã · 1.45 = ? \nOptions: a ) 17.1 , b ) 17.3 , c ) 17.5 , d ) 17.7 , e ) 17.2", "output": [ "b" ] }, { "id": "task1420-01cf92e2795b42079c37852022237037", "input": "Problem: in a tree , 1 / 5 of the birds are robins while the rest are bluejays . if 1 / 2 of the robins are female and 2 / 5 of the bluejays are female , what fraction of the birds in the tree are male ? \nOptions: a ) 9 / 25 , b ) 12 / 25 , c ) 17 / 25 , d ) 29 / 50 , e ) 33 / 50", "output": [ "d" ] }, { "id": "task1420-7146093674ac4cdb9b01616ac859fd70", "input": "Problem: find the value of 201834 x 99999 = m ? \nOptions: a ) 20183198166 , b ) 20194181766 , c ) 20175292556 , d ) 20132191166 , e ) 20153198166", "output": [ "a" ] }, { "id": "task1420-e127ee7efa8c4e93a062c813e1821a0c", "input": "Problem: in a survey of political preferences , 78 % of those asked were in favour of at least one of the proposals : i , ii and iii . 50 % of those asked favoured proposal i , 30 % favoured proposal ii , and 20 % favoured proposal iii . if 5 % of those asked favoured all 3 of the proposals , what x percentage of those asked favoured more than one of the 3 proposals . \nOptions: a ) 10 , b ) 12 , c ) 17 , d ) 22 , e ) 30", "output": [ "c" ] }, { "id": "task1420-cb22adaa2f784a11abf7c2a644b06d89", "input": "Problem: how many 7 in between 1 to 80 ? \nOptions: a ) 18 , b ) 20 , c ) 22 , d ) 23 , e ) 24", "output": [ "a" ] }, { "id": "task1420-0f5b4525d7c64da899986184b31bc31b", "input": "Problem: a certain list consists of 21 different numbers . if n is in the list and n is 4 times the average ( arithmetic mean ) of the other 20 numbers in the list , then n is what fraction e of the sum of the 21 numbers in the list ? \nOptions: a ) 1 / 20 , b ) 1 / 6 , c ) 1 / 5 , d ) 4 / 21 , e ) 5 / 21", "output": [ "b" ] }, { "id": "task1420-2920362ab1af46cbaf40df04cbc331da", "input": "Problem: how many positive integers less than 5,000 are evenly divisible by neither 15 nor 20 ? \nOptions: a ) 4,514 , b ) 4,477 , c ) 4,521 , d ) 4,428 , e ) 4,349", "output": [ "b" ] }, { "id": "task1420-798a65ca93fb41f986ce6a3308083bbb", "input": "Problem: the maximum number of students among them 1230 pens and 920 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is : \nOptions: a ) 91 , b ) 10 , c ) 1001 , d ) 1911 , e ) none of these", "output": [ "b" ] }, { "id": "task1420-579802e79a124a5990016817e9a5e174", "input": "Problem: a certain country had a total annual expenditure of $ 9.6 x 10 ^ 11 last year . if the population of the country was 240 million last year , what was the per capita expenditure ? \nOptions: a ) $ 500 , b ) $ 1,000 , c ) $ 2,000 , d ) $ 3,000 , e ) $ 4,000", "output": [ "e" ] }, { "id": "task1420-81f9d0ceb81f4678bdebe288696af2a8", "input": "Problem: average of 6 numbers comes out to be 3.95 . average of two of the numbers is 3.4 while the average of other two is 3.85 . determine the average of the two numbers left . \nOptions: a ) 4.7 , b ) 4.8 , c ) 4.3 , d ) 4.6 , e ) 4.9", "output": [ "d" ] }, { "id": "task1420-15a2aaf82e924f36aba162f2c66ba02c", "input": "Problem: a , b , c subscribe rs . 50,000 for a business . a subscribes rs . 4000 more than b and b rs . 5000 more than c . out of a total profit of rs . 35,000 , b receives : \nOptions: a ) s . 11,000 , b ) s . 11,300 , c ) s . 11,500 , d ) s . 11,700 , e ) s . 11,900", "output": [ "e" ] }, { "id": "task1420-d02b5405e2854a0db37aa741570b0b4a", "input": "Problem: an alloy of copper and zinc contains copper and zinc in the ratio 5 : 3 . another alloy of copper and zinc contains copper and zinc in the ratio 1 : 7 . in what ratio should the two alloys be mixed so that the resultant alloy contains equal proportions of copper and zinc ? \nOptions: a ) 1 : 5 , b ) 7 : 3 , c ) 5 : 3 , d ) 3 : 1 , e ) 4 : 3", "output": [ "d" ] }, { "id": "task1420-7ecb309f5ea24ca48ee068ae9c572598", "input": "Problem: if rs . 527 be divided among a , b , c in such a way that a gets 2 / 3 of what b gets and b gets 1 / 4 of what c gets , then their shares are respectively ? \nOptions: a ) s . 300 , b ) s . 360 , c ) s . 389 , d ) s . 368 , e ) s . 372", "output": [ "e" ] }, { "id": "task1420-d16c391f4c74401a9a4c889715b39c11", "input": "Problem: p , q and r have $ 5000 among themselves . r has two - thirds of the total amount with p and q . find the amount with r ? \nOptions: a ) 2400 , b ) 2403 , c ) 3998 , d ) 2539 , e ) 2000", "output": [ "e" ] }, { "id": "task1420-7e92506552df4288bfbb07776344e50c", "input": "Problem: if x is a positive integer with fewer than 3 digits , what is the probability w that x * ( x + 1 ) is a multiple of either 4 or 5 ? \nOptions: a ) 4 / 99 , b ) 2 / 25 , c ) 8 / 99 , d ) 49 / 100 , e ) 86 / 99", "output": [ "e" ] }, { "id": "task1420-0d66a19034784013a6cee33ab28145e5", "input": "Problem: when the positive integer x is divided by 9 , the remainder is 5 . what is the remainder when 6 x is divided by 9 ? \nOptions: a ) 0 , b ) 1 , c ) 3 , d ) 4 , e ) 6", "output": [ "c" ] }, { "id": "task1420-b261262ead2046e9badbf8c50b030866", "input": "Problem: when a random experiment is conducted , the probability that event a occurs is 1 / 5 . if the random experiment is conducted 4 independent times , what is the probability that event a occurs exactly twice ? \nOptions: a ) 16 / 625 , b ) 56 / 625 , c ) 96 / 625 , d ) 126 / 625 , e ) 156 / 625", "output": [ "c" ] }, { "id": "task1420-6e483b26db874908adba0c902adcef13", "input": "Problem: each of the 59 members in lourdes school class is required to sign up for a minimum of one and a maximum of 3 academic clubs . the 3 clubs to choose from are the poetry club , the history club , and the writing club . a total of 22 students sign up for the poetry club , 27 students for the history club , and 28 students for the writing club . if 6 students sign up for exactly two clubs , how many students sign up for all 3 clubs ? \nOptions: a ) 2 , b ) 5 , c ) 6 , d ) 8 , e ) 9", "output": [ "c" ] }, { "id": "task1420-df729e0ccdc640d9aa4015e1382a87ea", "input": "Problem: the ratio of the ages of 3 people is 4 : 6 : 7 . 8 years ago , the sum of their ages was 44 . find their present ages . \nOptions: a ) 28 , 42,49 , b ) 24 , 36,42 , c ) 20 , 30,35 , d ) 16 , 24,28 , e ) 12 , 18,21", "output": [ "d" ] }, { "id": "task1420-aac43f5d1172458e8d3e39873e5db317", "input": "Problem: in an apartment building that has 490 units , 4 out of every 7 units are currently rented , including 1 / 3 of the one - bedroom units . if , of the rented apartments , there is a 6 : 1 ratio of two - bedroom units to one - bedroom units , and the building only consists of two - bedroom and one - bedroom units , how many two - bedroom units are not rented ? \nOptions: a ) 50 , b ) 70 , c ) 100 , d ) 130 , e ) 140", "output": [ "d" ] }, { "id": "task1420-ca90fcab948347839a188c79639b5a29", "input": "Problem: 1 / [ ( 1 / 0.03 ) + ( 1 / 0.37 ) ] = ? \nOptions: a ) 0.004 , b ) 0.02775 , c ) 2.775 , d ) 3.6036 , e ) 36.036", "output": [ "b" ] }, { "id": "task1420-decdf2182cd646d4894da5489db2e554", "input": "Problem: what is the least value of x , so that 2 x 4472 is divisible by 9 \nOptions: a ) 7 , b ) 8 , c ) 9 , d ) 3 , e ) 2", "output": [ "b" ] }, { "id": "task1420-6f78acb3b6b94087a7fb4000e975d24b", "input": "Problem: at a restaurant , glasses are stored in two different - sized boxes . one box contains 12 glasses , and the other contains 16 glasses . if the average number of glasses per box is 15 , and there are 16 more of the larger boxes , what is the total number of glasses t at the restaurant ? ( assume that all boxes are filled to capacity . ) \nOptions: a ) 96 , b ) 240 , c ) t = 256 , d ) t = 384 , e ) t = 480", "output": [ "e" ] }, { "id": "task1420-1a7c36b6d7f546aaa8dac8671554f3a9", "input": "Problem: y = x ^ 2 + bx + 512 cuts the x axis at ( h , 0 ) and ( k , 0 ) . if h and k are integers , what is the least value of b ? \nOptions: a ) - 512 , b ) - 257 , c ) - 256 , d ) - 513 , e ) 128", "output": [ "d" ] }, { "id": "task1420-822eccc6a72945e09e3cc7829c38addf", "input": "Problem: q and r are two - digit positive integers that have the same digits but in reverse order . if the positive difference between q and r is less than 60 , what is the greatest possible value of q minus r ? \nOptions: a ) 52 , b ) 54 , c ) 55 , d ) 56 , e ) 58", "output": [ "b" ] }, { "id": "task1420-76180ffa94b04601a2de3181bb2ad9ff", "input": "Problem: in an office , totally there are 6400 employees and 65 % of the total employees are males . 25 % of the males in the office are at - least 50 years old . find the number of males aged below 50 years ? \nOptions: a ) 1040 , b ) 2080 , c ) 3120 , d ) 4160 , e ) none of these", "output": [ "c" ] }, { "id": "task1420-8e928d4674d74c6eacc2a8ad7f09cd6c", "input": "Problem: what is the decimal equivalent of ( 1 / 4 ) ^ 3 ? \nOptions: a ) 0.0016 , b ) 0.0625 , c ) 0.16 , d ) 0.25 , e ) 0.0156", "output": [ "e" ] }, { "id": "task1420-ae1e2023c394446a91fc56426f725410", "input": "Problem: sabrina is contemplating a job switch . she is thinking of leaving her job paying $ 90000 per year to accept a sales job paying $ 45000 per year plus 15 percent commission for each sale made . if each of her sales is for $ 1500 , what is the least number of sales she must make per year if she is not to lose money because of the job change ? \nOptions: a ) 57 , b ) 177 , c ) 178 , d ) 377 , e ) 200", "output": [ "e" ] }, { "id": "task1420-9812112d941b4285a58e6e1e876ba180", "input": "Problem: a man owns 1 / 3 of market reserch beauro buzness , and sells 3 / 5 of his shares for 15000 rs , what is the value of buzness ? \nOptions: a ) 55000 , b ) 75000 , c ) 65000 , d ) 190000 , e ) 250000", "output": [ "b" ] }, { "id": "task1420-1e9b21865d3b4c03a228eb37d4d6c496", "input": "Problem: each year for 4 years , a farmer increased the number of trees in a certain orchard by 1 / 4 of the number of trees in the orchard of the preceding year . if all of the trees thrived and there were 1250 trees in the orchard at the end of 4 year period , how many trees were in the orchard at the beginning of the 4 year period . \nOptions: a ) 513 , b ) 512 , c ) 517 , d ) 519 , e ) 521", "output": [ "b" ] }, { "id": "task1420-892c7efc3c4348f7bd156759b8600778", "input": "Problem: find the value of ( 875 233 / 899 ) × 899 \nOptions: a ) 786845 , b ) 786857 , c ) 786858 , d ) 786859 , e ) 786860", "output": [ "c" ] }, { "id": "task1420-5d65b650db6149748f434bf0e08c49e5", "input": "Problem: a women purchased 3 towels @ rs . 100 each , 5 towels @ rs . 150 each and two towels at a certain rate which is now slipped off from his memory . but she remembers that the average price of the towels was rs . 155 . find the unknown rate of two towels ? \nOptions: a ) a ) 400 , b ) b ) 450 , c ) c ) 500 , d ) d ) 550 , e ) e ) 600", "output": [ "c" ] }, { "id": "task1420-b3679616b9c24ce98f176755a5cdfab8", "input": "Problem: 3 machines operating independently , simultaneously , and at the same constant rate can fill a certain production order in 44 hours . if one additional machine were used under the same operating conditions , in how manyfewerhours of simultaneous operation could the production order be fulfilled ? \nOptions: a ) 6 , b ) 9 , c ) 12 , d ) 11 , e ) 48", "output": [ "d" ] }, { "id": "task1420-037a3a8a988a45748afbf6a7f3b9993a", "input": "Problem: during 2003 , a company produced an average of 2000 products per month . how many products will the company need to produce from 2004 through 2007 in order to increase its monthly average for the period from 2003 through 2007 by 150 % over its 2003 average ? \nOptions: a ) 287,000 , b ) 290,000 , c ) 284,000 , d ) 285,000 , e ) 286,000", "output": [ "c" ] }, { "id": "task1420-89844152ac2a4e10a58ef974591fa6c7", "input": "Problem: an optometrist charges $ 150 per pair for soft contact lenses and $ 85 per pair for hard contact lenses . last week she sold 5 more pairs of soft lenses than hard lenses . if her total sales for pairs of contact lenses last week were $ 1,455 , what was the total number of pairs of contact lenses that she sold ? \nOptions: a ) 11 , b ) 13 , c ) 15 , d ) 17 , e ) 19", "output": [ "a" ] }, { "id": "task1420-980742d5622148c787c353f6e2543511", "input": "Problem: 10 camels cost as much as 24 horses , 16 horses cost as much as 4 oxen and 6 oxen as much as 4 elephants . if the cost of 10 elephants is rs . 140000 , find the cost of a camel ? \nOptions: a ) s . 9800 , b ) s . 3800 , c ) s . 9800 , d ) s . 6800 , e ) s . 5600", "output": [ "e" ] }, { "id": "task1420-02ff27d443e2447882cd99845608718a", "input": "Problem: of 70 players on a cricket team , 37 are throwers . the rest of the team is divided so one third are left - handed and the rest are right handed . assuming that all throwers are right handed , how many right - handed players are there total ? \nOptions: a ) 54 , b ) 55 , c ) 59 , d ) 71 , e ) 92", "output": [ "c" ] }, { "id": "task1420-dc8c412284db481a95118e3097dd19e9", "input": "Problem: what is the least value of x , so that 2 x 5478 is divisible by 9 \nOptions: a ) 7 , b ) 8 , c ) 9 , d ) 1 , e ) 2", "output": [ "d" ] }, { "id": "task1420-5df2908bf5124b4a9bac05b1ee31ad4d", "input": "Problem: n 10 years , a will be twice as old as b was 10 years ago . if a is now 9 years older than b the present age of b is \nOptions: a ) 22 , b ) 897 , c ) 268 , d ) 20 , e ) 48", "output": [ "e" ] }, { "id": "task1420-78217d41691e4c7787a5d5709a40eb9a", "input": "Problem: a certain psychologist charges $ 30 more for the first hour of therapy than for each additional hour . if the total charge to a patient who receives 5 hours of therapy is $ 400 , what is the total charge to a patient who receives only 3 hours of therapy ? \nOptions: a ) $ 120 , b ) $ 135 , c ) $ 150 , d ) $ 165 , e ) $ 252", "output": [ "e" ] }, { "id": "task1420-c05b67a7a0a4497598c720c254caee77", "input": "Problem: for what values of k will the pair of equations 3 x + 4 y = 12 and ( kx + 12 y ) / 2 = 15 does not have a unique solution ? \nOptions: a ) 12 , b ) 9 , c ) 3 , d ) 7.5 , e ) 2.5", "output": [ "b" ] }, { "id": "task1420-34cbf12d98d94a9c9c8d046155f26a1a", "input": "Problem: when a number is divided by 6 & then multiply by 12 the answer is 18 what is the no . ? \nOptions: a ) 4.5 , b ) 5 , c ) 5.6 , d ) 5.7 , e ) 9", "output": [ "e" ] }, { "id": "task1420-45bd092c6c3a4b23a735f85d6bfab0fc", "input": "Problem: reeya obtained 55 , 67 , 76 , 82 and 55 out of 100 in different subjects , what will be the average \nOptions: a ) 70 , b ) 75 , c ) 67 , d ) 85 , e ) 90", "output": [ "c" ] }, { "id": "task1420-8fd093e9cfd84005937abd11e7d58ede", "input": "Problem: a group of 7 teenagers recently visited the japanese restaurant . the total bill for the meal , including 20 % gratuity , came to $ 840 . on average , how much did the meal of each individual cost before gratuity ? \nOptions: a ) $ 160 , b ) $ 96 , c ) $ 90 , d ) $ 10 , e ) $ 55", "output": [ "d" ] }, { "id": "task1420-d6da3e9388fe4874ac875840ee09e352", "input": "Problem: a certain family has 3 sons : richard is 6 years older than david , and david is 8 years older than scott . if in 8 years , richard will be twice as old as scott , then how old was david 2 years ago ? \nOptions: a ) 8 , b ) 12 , c ) 12 , d ) 14 , e ) 16", "output": [ "b" ] }, { "id": "task1420-db27fc43992045088587c94bdd1486ba", "input": "Problem: a number is doubled and 15 is added . if resultant is trebled , it becomes 75 . what is that number \nOptions: a ) 8 , b ) 10 , c ) 5 , d ) 14 , e ) 7", "output": [ "c" ] }, { "id": "task1420-ec441601dd2b4559b41a06ca40661606", "input": "Problem: if integer k is equal to the sum of all even multiples of 15 between 390 and 615 , what is the greatest prime factor of k ? \nOptions: a ) 5 , b ) 7 , c ) 8 , d ) 13 , e ) 17", "output": [ "c" ] }, { "id": "task1420-cf5e638726cd45c69e658f5604f12e81", "input": "Problem: 5358 x 51 = ? \nOptions: a ) 272258 , b ) 272358 , c ) 273258 , d ) 274258 , e ) 274358", "output": [ "c" ] }, { "id": "task1420-90560183de0540738fd9113d96d196d2", "input": "Problem: at the wholesale store you can buy an 8 - pack of hot dogs for $ 1.55 , a 20 - pack for $ 3.05 , and a 300 - pack for $ 22.95 . what is the greatest number of hot dogs you can buy at this store with $ 200 ? \nOptions: a ) 1,108 , b ) 2,500 , c ) 2,108 , d ) 2,124 , e ) 2,256", "output": [ "b" ] }, { "id": "task1420-868d4c1b62184a88907466e92cc0d633", "input": "Problem: a merchant has selected two items to be placed on sale , one of which currently sells for 25 percent less than the other . if he wishes to raise the price of the cheaper item so that the two items are equally priced , by what percentage must he raise the price of the less expensive item ? \nOptions: a ) 52 % , b ) 40 % , c ) 30 % , d ) 20 % , e ) 10 %", "output": [ "c" ] }, { "id": "task1420-2154cc8c9f864110830721148cbb17ef", "input": "Problem: a business executive and his client are charging their dinner tab on the executive ' s expense account . the company will only allow them to spend a total of 50 $ for the meal . assuming that they will pay 10 % in sales tax for the meal and leave a 15 % tip , what is the most their food can cost ? \nOptions: a ) 39.52 $ , b ) 40.63 $ , c ) 41.63 $ , d ) 42.15 $ , e ) 41.15 $", "output": [ "a" ] }, { "id": "task1420-35f6e609f8cc439aa7a44bb08aa548b4", "input": "Problem: the difference between a two - digit number and the number obtained by interchanging the two digits is 63 . which is the smaller of the two numbers ? \nOptions: a ) 29 , b ) 70 , c ) 92 , d ) can not be determined , e ) none of these", "output": [ "d" ] }, { "id": "task1420-e8957eab625542d7b65a50f991c94987", "input": "Problem: ( 0.15 ) ( power 3 ) - ( 0.06 ) ( power 3 ) / ( 0.15 ) ( power 2 ) + 0.009 + ( 0.06 ) ( power 2 ) is : \nOptions: a ) 0.09 , b ) 0.08 , c ) 0.1 , d ) 0.07 , e ) none of them", "output": [ "a" ] }, { "id": "task1420-25366317270f4fd99030d2d774b4a41b", "input": "Problem: on dividing 13698 by a certain number , we get 89 as quotient and 14 as remainder . what is the divisor ? \nOptions: a ) 743 , b ) 154 , c ) 852 , d ) 741 , e ) 785", "output": [ "b" ] }, { "id": "task1420-3d6089278656458092473ac782c7b4b8", "input": "Problem: in a group of 160 people , 90 have an age of more 30 years , and the others have an age of less than 20 years . if a person is selected at random from this group , what is the probability the person ' s age is less than 20 ? \nOptions: a ) 0.44 , b ) 0.55 , c ) 0.65 , d ) 0.75 , e ) 0.85", "output": [ "a" ] }, { "id": "task1420-16f439e957e74b929901ae30ff118341", "input": "Problem: the sum of two numbers is 528 and their h . c . f is 33 . the number of pairs of numbers satisfying the above condition is \nOptions: a ) 4 , b ) 5 , c ) 6 , d ) 7 , e ) 8", "output": [ "a" ] }, { "id": "task1420-bfb6ade194154e86ad7a120d3d9d8cb6", "input": "Problem: nails and screws are manufactured at a uniform weight per nail and a uniform weight per screw . if the total weight of one screw and one nail is half that of 6 screws and one nail , then the total weight of 3 screws , and 3 nails is how many times that of 5 screws and 1 nails ? \nOptions: a ) a . 4 , b ) b . 5 / 2 , c ) c . 2 , d ) d . 3 / 2 , e ) e . 5 / 4", "output": [ "d" ] }, { "id": "task1420-35bbe5a770ec41b7b6f7c4681994cd52", "input": "Problem: on dividing a number by 48 , we get 29 as remainder . on dividing the same number by 8 , what will be the remainder ? \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6", "output": [ "d" ] }, { "id": "task1420-2df822fc84f44a39ade907b4f34a78ed", "input": "Problem: in the above number , a and b represent the tens and units digits , respectively . if the above number is divisible by 45 , what is the greatest possible value of b x a ? \nOptions: a ) 0 , b ) 5 , c ) 10 , d ) 15 , e ) 20", "output": [ "e" ] }, { "id": "task1420-6a4cdc76412843a68a0870fc4f1fb8f3", "input": "Problem: the average of 15 numbers is 75 . average of the first 8 of them is 68 and that of the last 8.00001 is 77 . find the 8.000001 th number ? \nOptions: a ) 51 , b ) 87 , c ) 35 , d ) 75 , e ) 68", "output": [ "c" ] }, { "id": "task1420-ca052a30a91941b4a7ca0a6c161412b9", "input": "Problem: if 2 ^ ( 2 w ) = 8 ^ ( w − 6 ) , what is the value of w ? \nOptions: a ) 12 , b ) 15 , c ) 18 , d ) 21 , e ) 24", "output": [ "c" ] }, { "id": "task1420-116603e798ff40c0a494097f4e681457", "input": "Problem: sandy bought 65 books for $ 1080 from one shop and 55 books for $ 840 from another shop . what is the average price that sandy paid per book ? \nOptions: a ) $ 14 , b ) $ 16 , c ) $ 18 , d ) $ 20 , e ) $ 22", "output": [ "b" ] }, { "id": "task1420-42c135ac27fa4d6885da91a75ffe7b6e", "input": "Problem: there are 720 male and female participants in a meeting . half the female participants and one - quarterof the male participants are democrats . one - third of all the participants are democrats . how many of the democrats are female ? \nOptions: a ) 75 , b ) 100 , c ) 120 , d ) 175 , e ) 225", "output": [ "c" ] }, { "id": "task1420-29f8a66467774840ad12af15ff1e158b", "input": "Problem: united telephone charges a base rate of $ 6.00 for service , plus an additional charge of $ 0.25 per minute . atlantic call charges a base rate of $ 12.00 for service , plus an additional charge of $ 0.20 per minute . for what number of minutes would the bills for each telephone company be the same ? \nOptions: a ) 20 minutes , b ) 110 minutes , c ) 120 minutes , d ) 140 minutes , e ) 160 minutes", "output": [ "c" ] }, { "id": "task1420-45014b73d31a4431a9c842ad90be32ff", "input": "Problem: solve below question 2 x - 1 = 17 \nOptions: a ) - 8 , b ) - 9 , c ) - 5 , d ) - 4 , e ) 9", "output": [ "e" ] }, { "id": "task1420-c4daf910cae947f7b292ce597c96b57a", "input": "Problem: linda spent 3 / 4 of her savings on furniture and the rest on a tv . if the tv cost her $ 150 , what were her original savings ? \nOptions: a ) $ 500 , b ) $ 600 , c ) $ 700 , d ) $ 800 , e ) $ 900", "output": [ "b" ] }, { "id": "task1420-e3ea3bf781a04fbc90bbed55a2a67e7b", "input": "Problem: the average of 20 number is zero of them at the most , how many may be greater than zero ? \nOptions: a ) 0 , b ) 1 , c ) 10 , d ) 19 , e ) 20", "output": [ "d" ] }, { "id": "task1420-827ee90ca276435bbc8d71e5b1325abd", "input": "Problem: the product z of two prime numbers is between 16 and 40 . if one of the prime numbers is greater than 2 but less than 6 and the other is greater than 12 but less than 30 then what is z ? \nOptions: a ) 21 , b ) 22 , c ) 28 , d ) 35 , e ) 39", "output": [ "e" ] }, { "id": "task1420-0aeeda8c85ce4fd289308f22ab71d9b4", "input": "Problem: joan took out a mortgage from hel local bank . each monthly mortgage payment she makes must be triple the amount of the previous month ' s payment . if her first payment is $ 100 , and the total amount she must pay back is $ 2952400 , how many months will it take joan to pay back her mortgage ? \nOptions: a ) 6 , b ) 8 , c ) 10 , d ) 11 , e ) 13", "output": [ "c" ] }, { "id": "task1420-89c70832ebaf41929fae12f2b39d52bd", "input": "Problem: in a recent election , james received 0.5 percent of the 2000 votes cast . to win the election , a candidate needed to receive more than 50 percent of the vote . how many additional votes would james have needed to win the election ? \nOptions: a ) 901 , b ) 989 , c ) 990 , d ) 991 , e ) 1,001", "output": [ "d" ] }, { "id": "task1420-6a0d39ac2c964c46828beb73d23146a0", "input": "Problem: 75 % of 480 = ( ? ) x 15 ? \nOptions: a ) 32 , b ) 18 , c ) 360 , d ) none of these , e ) can not be determined", "output": [ "d" ] }, { "id": "task1420-645da52f1ac641479972055dbc72b69b", "input": "Problem: if 4 x + 3 y = 8 and y − 3 x = 2 , then what is the value of x + 4 y ? \nOptions: a ) 10 , b ) 3 , c ) 15 , d ) 52 / 7 , e ) 60 / 7", "output": [ "a" ] }, { "id": "task1420-5b86705ab33448b5ba8118bb48aff934", "input": "Problem: for each color copy , print shop x charges $ 1.25 and print shop y charges $ 2.75 . how much greater is the charge for 60 color copies at print shop y than at print shop x ? \nOptions: a ) $ 80 , b ) $ 90 , c ) $ 100 , d ) $ 110 , e ) $ 120", "output": [ "b" ] }, { "id": "task1420-00a343e8c50041ab822479900ed37851", "input": "Problem: the sum of present age of abe and the age before 7 years is 37 . find the present age of abe . what will be his age after 7 years ? \nOptions: a ) 25 , b ) 26 , c ) 27 , d ) 28 , e ) 29", "output": [ "e" ] }, { "id": "task1420-f1ac67ccb7ed409cb50db6ae5ec388b5", "input": "Problem: what is the 23 th digit to the right of the decimal point in the decimal form of 36 / 66 ? \nOptions: a ) 3 , b ) 4 , c ) 8 , d ) 9 , e ) 6", "output": [ "b" ] }, { "id": "task1420-2752524ad311468cba3c8c9a34708654", "input": "Problem: the average score of a cricketer for 12 matches is 48 runs . if the average for first 8 matches is 40 , then average for last 4 matches is \nOptions: a ) 33.25 , b ) 89 , c ) 64 , d ) 68 , e ) 90", "output": [ "c" ] }, { "id": "task1420-d3ba57c651f04dd8b2f4bd468bcb2f3e", "input": "Problem: 550 − ( 104 ÷ 20.8 ) = ? \nOptions: a ) 545 , b ) 525 , c ) 535 , d ) 625 , e ) 105", "output": [ "a" ] }, { "id": "task1420-7a72dca49afa4ea8839f4d2263da5e75", "input": "Problem: what is the tens digit of 6 ^ 20 ? \nOptions: a ) 1 , b ) 3 , c ) 5 , d ) 7 , e ) 9", "output": [ "d" ] }, { "id": "task1420-782e2a95e99b46f1b6121596e9346a17", "input": "Problem: what is the greatest 6 - digit number when divided by 8 , 9 , and 10 leaves a remainder of 6 , 7 , and 8 respectively ? \nOptions: a ) 456780 , b ) 678918 , c ) 997479 , d ) 997916 , e ) 997920", "output": [ "b" ] }, { "id": "task1420-bdd5edf708f14bb29d80a2291b2338ef", "input": "Problem: if x / ( 12 p ) is an odd prime number , where x is a positive integer and p is a prime number , what is the least value of x ? \nOptions: a ) 22 , b ) 33 , c ) 44 , d ) 66 , e ) 72", "output": [ "e" ] }, { "id": "task1420-dddb23afb6c942c584cbe8929a975469", "input": "Problem: how many multiples of 4 are less than 6540 , and also multiples of 7 ? \nOptions: a ) 234 , b ) 208 , c ) 340 , d ) 237 , e ) 267", "output": [ "a" ] }, { "id": "task1420-05467921728d4955a5a9a8fbd73f7525", "input": "Problem: what is theleast number should be added to 1056 , so the sum of the number is completely divisible by 23 ? \nOptions: a ) 20 , b ) 23 , c ) 25 , d ) 27 , e ) 28", "output": [ "b" ] }, { "id": "task1420-ef863f5a84584353ab778c25f1ee3c9f", "input": "Problem: a bag contains an equal number of one rupee , 50 paise and 25 paise coins respectively . if the total value is 140 , how many coins of each type are there ? \nOptions: a ) 20 coins , b ) 30 coins , c ) 40 coins , d ) 80 coins , e ) none of these", "output": [ "d" ] }, { "id": "task1420-80a22a8c811a466c9633af83aafedf0d", "input": "Problem: for each of her sales , a saleswoman receives a commission equal to 20 percent of the first $ 500 of the total amount of the sale , plus 45 percent of the total amount in excess of $ 500 . if the total amount of one of her sales was $ 800 , the saleswoman ’ s commission was approximately what percent of the total amount of the sale ? \nOptions: a ) 22 % , b ) 24 % , c ) 25 % , d ) 29 % , e ) 28 %", "output": [ "d" ] }, { "id": "task1420-68659c681d63409d80761da5fb0b55c3", "input": "Problem: weights of two friends ram and shyam are in the ratio of 4 : 5 . ram ’ s weight increases by 10 % and the total weight of ram and shyam together becomes 82.8 kg , with an increase of 15 % . by what per cent did the weight of shyam increase ? \nOptions: a ) 12.5 % , b ) 17.5 % , c ) 19 % , d ) 21 % , e ) none of these", "output": [ "c" ] }, { "id": "task1420-04e4523b931941398195c3acb9773c27", "input": "Problem: what is the least number that should be added to 1054 , so the sum of the number is divisible by 23 ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "d" ] }, { "id": "task1420-3af258d6e18249e39a7676e3ee764706", "input": "Problem: the difference between a two - digit number and the number obtained by interchanging the positions of its digits is 45 . what is the difference between the two digits of that number ? \nOptions: a ) 4 , b ) 5 , c ) 6 , d ) 8 , e ) 9", "output": [ "b" ] }, { "id": "task1420-1a33869b44df4a4aba6e7959a96030b2", "input": "Problem: the average of marks obtained by 120 boys was 35 . if the average of marks of passed boys was 39 and that of failed boys was 15 , the number of boys who passed the examination is ? \nOptions: a ) 100 , b ) 110 , c ) 120 , d ) 130 , e ) 140", "output": [ "a" ] }, { "id": "task1420-63a5cf64d3a9493494cc649c08b5dfd6", "input": "Problem: the average ( arithmetic mean ) of 4 positive integers is 45 . if the average of 2 of these integers is 45 , what is the greatest possible value that one of the other 2 integers can have ? \nOptions: a ) 55 , b ) 65 , c ) 100 , d ) 89 , e ) 115", "output": [ "d" ] }, { "id": "task1420-a465cd31201848f7a02b78ad851147cc", "input": "Problem: a certain city with a population of 72,000 is to be divided into 11 voting districts , and no district is to have a population that is more than 10 percent greater than the population of any other district what is the minimum possible population that the least populated district could have ? \nOptions: a ) a ) 6,000 , b ) b ) 10,800 , c ) c ) 10,900 , d ) d ) 11,000 , e ) e ) 11,100", "output": [ "a" ] }, { "id": "task1420-15d198eb6e4242c09e532c9b368bd2cc", "input": "Problem: find two numbers whose sum is 26 and whose product is 165 . \nOptions: a ) 11 and 12 , b ) 11 and 13 , c ) 11 and 15 , d ) 11 and 16 , e ) 11 and 19", "output": [ "c" ] }, { "id": "task1420-a428fcbac95d45baac2a334d7699fea7", "input": "Problem: which is greater than 16 \nOptions: a ) 1.6 , b ) 66 , c ) 6 , d ) - 6 , e ) 6.1", "output": [ "b" ] }, { "id": "task1420-5dea0533f7f44971803223f7b394ad08", "input": "Problem: a man has $ 480 in the denominations of one - dollar , 5 - dollar notes and 10 - dollar . the number of dollars of each denomination is equal . what is the total number of dollar that he has ? \nOptions: a ) 50 , b ) 60 , c ) 90 , d ) 48 , e ) 67", "output": [ "c" ] }, { "id": "task1420-b1b392110ffa41209a88348ffa0f7dbc", "input": "Problem: a man whose bowling average is 12.4 , takes 6 wickets for 26 runs and there by decreases his average by 0.4 . the number of wickets taken by him before his last match is ? \nOptions: a ) 113 , b ) 114 , c ) 115 , d ) 116 , e ) 117", "output": [ "c" ] }, { "id": "task1420-76aad360b9a041809dabc977e3edb080", "input": "Problem: if log 2 x - 5 log x + 6 = 0 , then what would the value / values of x be ? \nOptions: a ) 5.3296 , b ) 6.3296 , c ) 7.3296 , d ) 8.3296 , e ) 9.3296", "output": [ "a" ] }, { "id": "task1420-eb46028b1d754027af67d0831318fae1", "input": "Problem: when a = x + ( 3 / x ) and b = x - ( 3 / x ) , ( 2 ^ a ^ 2 ) / ( 2 ^ b ^ 2 ) = ? \nOptions: a ) 2 , b ) 4 , c ) 8 , d ) 16 , e ) 4096", "output": [ "e" ] }, { "id": "task1420-6a962dee995f4c15976347f2cdc9bf79", "input": "Problem: 6 x 0.6 x 0.06 x 0.006 x 60 = ? \nOptions: a ) 77.76 , b ) 7.776 , c ) 0.7776 , d ) 0.07776 , e ) none otf these", "output": [ "d" ] }, { "id": "task1420-e1da7953b2564a33aeaa8e9f1ca4a64d", "input": "Problem: a third of arun â € ™ s marks in mathematics exceed a half of his marks in english by 20 . if he got 360 marks in two subjects together how many marks did he got in english ? \nOptions: a ) 120,60 , b ) 240,120 , c ) 280,90 , d ) 220,140 , e ) none of them", "output": [ "b" ] }, { "id": "task1420-aab8480f42ec457d9acab27e16e509a6", "input": "Problem: if the average ( arithmetic mean ) of 7 consecutive integers is 20 , then the product of the greatest and least integer is \nOptions: a ) 343 , b ) 393 , c ) 363 , d ) 391 , e ) 409", "output": [ "d" ] }, { "id": "task1420-0c1398f452024589b20d1765f0caeea9", "input": "Problem: excluding stoppages , the average speed of a bus is 60 km / hr and including stoppages , the average speed of the bus is 20 km / hr . for how many minutes does the bus stop per hour ? \nOptions: a ) 22 , b ) 88 , c ) 77 , d ) 40 , e ) 99", "output": [ "d" ] }, { "id": "task1420-fda402b7f6a143bf8234cb5145f71cf2", "input": "Problem: ( ( - 1.9 ) ( 0.6 ) – ( 2.6 ) ( 1.2 ) ) / 2.0 = ? \nOptions: a ) - 0.71 , b ) - 2.13 , c ) 1.07 , d ) 1.71 , e ) 2.71", "output": [ "b" ] }, { "id": "task1420-fbad4cb6b7bf4c7a9116f0843ff34076", "input": "Problem: the maximum numbers of students among them 891 pens and 810 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is \nOptions: a ) 91 , b ) 81 , c ) 1001 , d ) 1911 , e ) none", "output": [ "b" ] }, { "id": "task1420-1d7691fdfb1947efa38f1a19b01c9937", "input": "Problem: rakesh ' s mathematics test had 75 problems , 10 arithmetic , 30 algebra , 35 geometry problems . although he answered 70 % of arithmetic , 40 % of arithmetic and 60 % of geometry problems correctly , still he got less than 60 % problems right . how many more questions he would have to answer more to get passed ? \nOptions: a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 9", "output": [ "a" ] }, { "id": "task1420-74ad38a95c314877a30e58f31c1d8fe0", "input": "Problem: find the remainder when 6 ^ 23 is divided by 5 ? \nOptions: a ) 3 , b ) 2 , c ) 1 , d ) 0 , e ) 4", "output": [ "c" ] }, { "id": "task1420-711deafab89240b88572967a2bf594ec", "input": "Problem: a batsman scored 125 runs which included 5 boundaries and 5 sixes . what percent of his total score did he make by running between the wickets ? \nOptions: a ) 45 % , b ) 500 / 11 , c ) 600 / 11 , d ) 55 % , e ) 60 %", "output": [ "e" ] }, { "id": "task1420-45d1e3693f7140458bdb6902db92a035", "input": "Problem: what least number must be subtracted from 427751 so that remaining no . is divisible by 10 \nOptions: a ) 3 , b ) 1 , c ) 6 , d ) 8 , e ) 9", "output": [ "b" ] }, { "id": "task1420-9a6aeb136dc94cd5b14e873b70312a16", "input": "Problem: what is the last digit in ( 7 ^ 95 - 3 ^ 58 ) ? \nOptions: a ) 5 , b ) 6 , c ) 4 , d ) 9 , e ) 5.5", "output": [ "c" ] }, { "id": "task1420-2c7e5826c3d54ff5aa641d217060cbc7", "input": "Problem: if in a certain code ` ` range ' ' is coded as 12345 and ` ` random ' ' is coded as 123678 . then the code for the word ` ` gone ' ' would be \nOptions: a ) 3569 , b ) 1552 , c ) 4573 , d ) 4735 , e ) 5235", "output": [ "d" ] }, { "id": "task1420-493347edca6744a3bc8d1454ea11da99", "input": "Problem: how many 3 - digit numbers are divisible by 6 in all ? \nOptions: a ) 149 , b ) 150 , c ) 151 , d ) 166 , e ) none", "output": [ "b" ] }, { "id": "task1420-1a15b05595e3430da976677cd7671175", "input": "Problem: if - 3 x + 2 y = 28 and 3 x + 6 y = 84 , what is the product of x and y ? \nOptions: a ) 264 . , b ) 428 , c ) 0 , d ) 462 , e ) 642", "output": [ "c" ] }, { "id": "task1420-a6327e54679d46f9ab4d57fc5866dacc", "input": "Problem: - 54 x 29 + 100 = ? \nOptions: a ) - 1466 , b ) 2801 , c ) - 2801 , d ) - 2071 , e ) none of them", "output": [ "a" ] }, { "id": "task1420-322fff105f1246e79e2a1785f064b11d", "input": "Problem: find the remainder q when 12 ^ 190 is divided by 1729 ? \nOptions: a ) 12 , b ) 1 , c ) 1728 , d ) 1717 , e ) 4", "output": [ "d" ] }, { "id": "task1420-6329e769f7f04cc0a068c16796c20ad0", "input": "Problem: mr . evans will states that each of his children will receive an equal share of his estate and that his grandchildren will split a portion of the estate that is equal to the share received by each of his children . if mr . evans has 5 children and 6 grandchildren , then approximately what percentage of mr . evans estate will each grandchild receive ? \nOptions: a ) 20 % , b ) 17 % , c ) 4.0 % , d ) 3.3 % , e ) 2.8 %", "output": [ "e" ] }, { "id": "task1420-ebf151cf90594b30beaa5e1bdb9e59b9", "input": "Problem: john want to buy a $ 100 trouser at the store , but he think it â € ™ s too expensive . finally , it goes on sale for $ 80 . what is the percent decrease ? \nOptions: a ) 20 % , b ) 30 % , c ) 40 % , d ) 50 % , e ) 60 %", "output": [ "a" ] }, { "id": "task1420-a00ceda0cc124e80be3504fd11601050", "input": "Problem: the number of timeshare condos available at sunset beach is 3 / 5 the number of timeshare condos available at playa del mar . if the total number of timeshare condos available at the two beaches combined is 320 , what is the difference between the number of condos available at sunset beach and the number of condos available at playa del mar ? \nOptions: a ) 80 , b ) 90 , c ) 120 , d ) 150 , e ) 240", "output": [ "a" ] }, { "id": "task1420-bdffcee634b2434da16819c399f31f7d", "input": "Problem: let the number which when multiplied by 15 is increased by 196 . \nOptions: a ) 14 , b ) 20 , c ) 26 , d ) 28 , e ) 30", "output": [ "a" ] }, { "id": "task1420-2a721d36381f430f84ffa92b0f381aab", "input": "Problem: 25 , 50 , 100 , 175 , 275 , ( . . . . ) \nOptions: a ) 400 , b ) 300 , c ) 425 , d ) 450 , e ) 325", "output": [ "a" ] }, { "id": "task1420-2845bacd3d47435cb0cb9c4020e649fb", "input": "Problem: robert ate 7 chocolates , nickel ate 3 chocolates . how many more chocolates did robert ate than nickel ? \nOptions: a ) 4 , b ) 7 , c ) 9 , d ) 5 , e ) 2", "output": [ "a" ] }, { "id": "task1420-ac284d9cbfea4e88adebedea88d8cbcf", "input": "Problem: x and y are two towns . ganesh covers the distance from x to y at an average speed of 60 km / hr . however , he covers the distance from y to x at an average speed of 30 km / hr . his average speed during the whole journey in km / hr . is : \nOptions: a ) 34 , b ) 43 , c ) 40 , d ) 38 , e ) 29", "output": [ "c" ] }, { "id": "task1420-9347399a898e493bb5ac9ba4325b83d1", "input": "Problem: rs . 2600 is divided so that 4 times the first share , thrice the 2 nd share and twice the third share amount to the same . what is the value of the third share ? \nOptions: a ) s . 1200 , b ) s . 1542 , c ) s . 1528 , d ) s . 1540 , e ) s . 1549", "output": [ "a" ] }, { "id": "task1420-8c3dfd0a873f4bc6b7274e6186ca13ec", "input": "Problem: the average ( arithmetic mean ) of the integers from 100 to 400 , inclusive , is how much greater than the average of the integers from 50 to 250 , inclusive ? \nOptions: a ) 100 , b ) 175 , c ) 200 , d ) 125 , e ) 300", "output": [ "a" ] }, { "id": "task1420-6d25afa63ae54d82a115b50347fd92e7", "input": "Problem: p software has coding line 5 % more than n , n software has coding line 4 / 20 more than m . m software has 80 lines of coding . find p lines . \nOptions: a ) 101 , b ) 107 , c ) 108 , d ) 109 , e ) 110", "output": [ "a" ] }, { "id": "task1420-69b92c0555c549e090acc5318f622dc7", "input": "Problem: at an upscale fast - food restaurant , shin can buy 3 burgers , 7 shakes , and one cola for $ 120 . at the same place it would cost $ 158.50 for 4 burgers , 10 shakes , and one cola . how much would it cost for a meal of one burger , one shake , and one cola ? \nOptions: a ) $ 21 , b ) $ 27 , c ) $ 31 , d ) $ 43 , e ) it can not be determined", "output": [ "d" ] }, { "id": "task1420-3a3a2936b87745cd9ae329ce28b454e0", "input": "Problem: a man whose bowling average is 12.4 , takes 4 wickets for 26 runs and there by decreases his average by 0.4 . the number of wickets taken by him before his last match is ? \nOptions: a ) 53 , b ) 54 , c ) 55 , d ) 56 , e ) 57", "output": [ "c" ] }, { "id": "task1420-ec46565f036d48f184e39bfd31abbe73", "input": "Problem: if 5 x = 3 y and xy ≠ 0 , what is the ratio of 1 / 5 * x to 1 / 6 * y ? \nOptions: a ) 25 / 6 , b ) 36 / 25 , c ) 18 / 25 , d ) 5 / 6 , e ) 25 / 36", "output": [ "c" ] }, { "id": "task1420-aac7ed47a2a0483ab4466117ebf9a295", "input": "Problem: find the sum of all odd numbers up to 100 . \nOptions: a ) 2500 , b ) 2400 , c ) 2300 , d ) 2200 , e ) 2100", "output": [ "a" ] }, { "id": "task1420-c91d1de9f1d04ca8b912adf242a3014c", "input": "Problem: if the price of a certain computer increased 30 percent from b dollars to 351 dollars , then 2 b = \nOptions: a ) 540 , b ) 570 , c ) 619 , d ) 649 , e ) 700", "output": [ "a" ] }, { "id": "task1420-db25f6e46b444e3ca99e178b63ce15cf", "input": "Problem: a cube with its sides numbered 1 through 6 is rolled twice , first landing on a and then landing on b . if any roll of the cube yields an equal chance of landing on any of the numbers 1 through 6 , what is the probability r that a + b is prime ? \nOptions: a ) 0 , b ) 1 / 12 , c ) 5 / 12 , d ) 7 / 18 , e ) 4 / 9", "output": [ "c" ] }, { "id": "task1420-a0f671bba9324d6e9ea40adae959fc42", "input": "Problem: a clock store sold a certain clock to a collector for 25 percent more than the store had originally paid for the clock . when the collector tried to resell the clock to the store , the store bought it back at 55 percent of what the collector had paid . the shop then sold the clock again at a profit of 70 percent on its buy - back price . if the difference between the clock ' s original cost to the shop and the clock ' s buy - back price was $ 125 , for how much did the shop sell the clock the second time ? \nOptions: a ) $ 500 , b ) $ 467.5 , c ) $ 935 , d ) $ 525.5 , e ) $ 465.5", "output": [ "b" ] }, { "id": "task1420-6c4d87ce945d495ebd811cdca2859585", "input": "Problem: a rainstorm increased the amount of water stored in state j reservoirs from 125 billion gallons to 150 billion gallons . if the storm increased the amount of water in the reservoirs to 80 percent of total capacity , approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm ? \nOptions: a ) 9 , b ) 14 , c ) 25 , d ) 30 , e ) 44", "output": [ "e" ] }, { "id": "task1420-469c4c12f3864afcadc00c1fae8b0475", "input": "Problem: 15 lts are taken of from a container full of liquid a and replaced with liquid b . again 15 more lts of the mixture is taken and replaced with liquid b . after this process , if the container contains liquid a and b in the ratio 9 : 16 , what is the capacity of the container h ? \nOptions: a ) a : 45 , b ) b : 25 , c ) c : 37.5 , d ) d : 36 , e ) e : 42", "output": [ "c" ] }, { "id": "task1420-525f72e707bd418fb910ab4f19f404b9", "input": "Problem: on a race track a maximum of 5 horses can race together at a time . there are a total of 25 horses . there is no way of timing the races . what is the minimum number y of races we need to conduct to get the top 3 fastest horses ? \nOptions: a ) 5 , b ) 7 , c ) 8 , d ) 10 , e ) 11", "output": [ "b" ] }, { "id": "task1420-260e6dbf607146edac9b4a85442b5a27", "input": "Problem: if the average ( arithmetic mean ) of ( 2 a + 16 ) and ( 3 a - 8 ) is 69 , what is the value of a ? \nOptions: a ) 26 , b ) 30 , c ) 28 , d ) 36 , e ) 42", "output": [ "a" ] }, { "id": "task1420-a504e64dc6f345d8aa7fb42856fa0114", "input": "Problem: the sum of two numbers is 29 and the difference of their squares is 145 . the difference between the number is \nOptions: a ) 13 , b ) 5 , c ) 8 , d ) 11 , e ) 12", "output": [ "b" ] }, { "id": "task1420-a2042781c87b44d1a0e4945370ddffa6", "input": "Problem: how much water must be added to 56 litres of milk at 1 1 ⁄ 2 litres for 20 so as to have a mixture worth 10 2 ⁄ 3 a litre ? \nOptions: a ) 10 litres , b ) 12 litres , c ) 14 litres , d ) 18 litres , e ) none of these", "output": [ "c" ] }, { "id": "task1420-a7ff9052cb1f4a349b495ce26405e162", "input": "Problem: a man has 1044 candles . after burning , he can make a new candle from 9 stubs left behind . find the maximum number of candles that can be made . \nOptions: a ) 116 , b ) 120 , c ) 130 , d ) 140 , e ) none", "output": [ "c" ] }, { "id": "task1420-927097b2da474491846b49365c16cba9", "input": "Problem: for all positive integers m , [ m ] = 3 m when m is odd and [ m ] = ( 1 / 2 ) * m when m is even . what is [ 5 ] * [ 8 ] equivalent to ? \nOptions: a ) [ 40 ] , b ) [ 60 ] , c ) [ 80 ] , d ) [ 120 ] , e ) [ 150 ]", "output": [ "d" ] }, { "id": "task1420-ca4b5649eebd453ea617a5c8c74ab7be", "input": "Problem: p , q , r enter into a partnership & their share are in the ratio 1 / 2 : 1 / 3 : 1 / 4 , after two months , p withdraws half of the capitals & after 10 months , a profit of rs 378 is divided among them . what is r ' s share ? \nOptions: a ) 108 , b ) 120 , c ) 134 , d ) 144 , e ) none of these", "output": [ "a" ] }, { "id": "task1420-76214b44fcb443c4a08949eb986d330f", "input": "Problem: the sum of all two digit numbers divisible by 8 is \nOptions: a ) 910 , b ) 510 , c ) 611 , d ) 616 , e ) 810", "output": [ "d" ] }, { "id": "task1420-8c006626e418491d9ce9ea41ef0fba1e", "input": "Problem: ratio of two numbers x and y is 7 : 9 . if x is increased by 20 % and y is increased by 33 then the new ratio becomes 1 : 5 . what is the ratio 2 y : ( x + 4 ) \nOptions: a ) 18 : 11 , b ) 8 : 1 , c ) 11 : 18 , d ) 1 : 8 , e ) 1 : 1", "output": [ "a" ] }, { "id": "task1420-b15ccad31af14a58b524c7851b51149b", "input": "Problem: of the families in city x in 1994 , 35 percent owned a personal computer . the number of families in city x owning a computer in 1998 was 20 percent greater than it was in 1994 , and the total number of families in city x was 4 percent greater in 1998 than it was in 1994 . what percent of the families in city x owned a personal computer in 1998 ? \nOptions: a ) 50.12 % , b ) 40.52 % , c ) 40.56 % , d ) 40.38 % , e ) 40.14 %", "output": [ "d" ] }, { "id": "task1420-dd5256ac4d314e42b8796b6da8b10513", "input": "Problem: two digits in father ' s age are the same as the digit in the son ' s age , but in reverse order . in 5 years father will be twice as old as son will be then . what is the difference in their current age ? \nOptions: a ) 18 , b ) 16 , c ) 34 , d ) 25 , e ) 12", "output": [ "a" ] }, { "id": "task1420-8ab18973183e4fe698dd0cab882a0433", "input": "Problem: if ( 10 x + 2 ) / 4 - ( 3 x - 6 ) / 18 = ( 2 x + 4 ) / 3 , then what is the value of x ? \nOptions: a ) 3 , b ) - 3 , c ) 10 / 3 , d ) 3 / 10 , e ) - 10 / 3", "output": [ "d" ] }, { "id": "task1420-ae0be414880243e4b2ee5d2ee2d176c3", "input": "Problem: 826924 × 9999 = ? \nOptions: a ) 8248402936 , b ) 8268413076 , c ) 8268413071 , d ) 8064329671 , e ) 8244563371", "output": [ "b" ] }, { "id": "task1420-6aca5e63c76a4bdd8a8c9df7c0728ba1", "input": "Problem: of 70 players on a football team , 52 are throwers . the rest of the team is divided so one third are left - handed and the rest are right handed . assuming that all throwers are right handed , how many right - handed players are there total ? \nOptions: a ) 54 , b ) 59 , c ) 63 , d ) 64 , e ) 92", "output": [ "d" ] }, { "id": "task1420-58c65ace30b548d7aafce0c41f58a0cf", "input": "Problem: the product of x and y is a constant . if the value of x is increased by 50 % , by what percentage must the value of y be decreased ? \nOptions: a ) 50 % , b ) 40 % , c ) 33 1 ⁄ 3 % , d ) 25 % , e ) 12 1 ⁄ 2 %", "output": [ "c" ] }, { "id": "task1420-371957d1dd6a4be6a86f4c6be37cd0fd", "input": "Problem: express the ratio 3 2 / 3 : 7 1 / 3 in its simplest form . \nOptions: a ) 1 : 21 , b ) 1 : 1 , c ) 2 : 1 , d ) 1 : 2 , e ) 2 : 11", "output": [ "d" ] }, { "id": "task1420-b17ef4c469134a52b1b78e5e3e0190f7", "input": "Problem: jack has two dice , one has 6 equally probable sides , labeled 1 , 2 , 3 , 4 , 5 , 6 , and the other has 7 equally probable sides , labeled 1 , 2 , 3 , 4 , 5 , 6 , 7 . if jack rolls both dice what is the probability that both of the number ' s sum will be 13 ? \nOptions: a ) 3 / 14 , b ) 2 / 7 , c ) 1 / 3 , d ) 1 / 42 , e ) 12 / 21", "output": [ "d" ] }, { "id": "task1420-754a96aa76f64fa8884107b835f57672", "input": "Problem: 15 people went to a hotel for combine dinner party 10 of them spent rs . 50 each on their dinner and rest spent 4 more than the average expenditure of all the 15 . what was the total money spent by them . \nOptions: a ) 1628.4 , b ) 1534 , c ) 780 , d ) 1496 , e ) none of these", "output": [ "c" ] }, { "id": "task1420-1b5ed4430c8b46e2ba428b30b9c38b43", "input": "Problem: mr . smith calculated the average of 10 3 digit numbers . but due to a mistake he reversed the digits of a number and thus his average increased by 19.8 the difference between the unit digit and hundreds digit of that number is : \nOptions: a ) 2 , b ) 6 , c ) 5 , d ) 3 , e ) 4", "output": [ "a" ] }, { "id": "task1420-43180f7d493342edb52fbc6809019e0f", "input": "Problem: a man purchased 3 blankets @ rs . 100 each , 2 blankets @ rs . 150 each and two blankets at a certain rate which is now slipped off from his memory . but he remembers that the average price of the blankets was rs . 150 . find the unknown rate of two blankets ? \nOptions: a ) 278 , b ) 900 , c ) 278 , d ) 450 , e ) 772", "output": [ "b" ] }, { "id": "task1420-9e0e860803294fb2b98bef553d4fb507", "input": "Problem: what is the value of x ^ 2 yz − xyz ^ 2 , if x = − 2 , y = 1 , and z = 1 ? \nOptions: a ) 6 , b ) 24 , c ) 30 , d ) 32 , e ) 48", "output": [ "a" ] }, { "id": "task1420-36502d51f47247c88bbf2186f0ab2c79", "input": "Problem: if x is a randomly chosen integer between 1 and 20 , inclusive , and y is a randomly chosen integer between 21 and 40 , inclusive , what is the probability that xy is a multiple of 4 ? \nOptions: a ) 1 / 4 , b ) 1 / 3 , c ) 3 / 8 , d ) 7 / 16 , e ) ½", "output": [ "e" ] }, { "id": "task1420-7f2aff32f42a437a9f82ca04b82a1b5f", "input": "Problem: x , a , z , and b are single digit positive integers . x = 1 / 5 a . z = 1 / 5 b . ( 10 a + b ) – ( 10 x + z ) could not equal \nOptions: a ) 36 , b ) 33 , c ) 44 , d ) 64 , e ) 56", "output": [ "b" ] }, { "id": "task1420-585bba27e77549809ac660e4ac791721", "input": "Problem: a student chose a number , multiplied it by 2 , then subtracted 200 from the result and got 110 . what was the number he chose ? \nOptions: a ) 168 , b ) 100 , c ) 155 , d ) 160 , e ) 200", "output": [ "c" ] }, { "id": "task1420-4c301ae6e5cd4b52aa999d8e11db748f", "input": "Problem: in a fuel station the service costs $ 1.50 per car , every liter of fuel costs 0.35 $ . assuming that you own 3 limos and 2 fleet vans and all fuel tanks are empty . how much will it cost to fuel all cars together if a limo tank is 32 liters and an fleet van tank is 75 % bigger ? \nOptions: a ) $ 78.80 , b ) $ 79.80 , c ) $ 78.90 , d ) $ 79.90 , e ) $ 77.80", "output": [ "a" ] }, { "id": "task1420-b8d7720bb8f045458f33cc51d064b7d7", "input": "Problem: if the average ( arithmetic mean ) of a and b is 35 and the average of b and c is 80 , what is the value of c − a ? \nOptions: a ) 25 , b ) 50 , c ) 90 , d ) 140 , e ) it can not be determined from the information given .", "output": [ "c" ] }, { "id": "task1420-09b6dd2aa3c8441c9a1e8e7c4aca9d84", "input": "Problem: { 5 , 6 , 3 , 8 , 4 } if we want to get the median value of the set to be 10 which value should be inserted in the set of 5 values ? \nOptions: a ) 5 , b ) 7 , c ) 15 , d ) 12 , e ) 13", "output": [ "b" ] }, { "id": "task1420-8445d1094a37435d8b7b6c73efbb56e7", "input": "Problem: the average of 13 result is 60 . average of the first 7 of them is 57 and that of the last 7 is 61 . find the 8 th result ? \nOptions: a ) 35 , b ) 37 , c ) 46 , d ) 48 , e ) 50", "output": [ "c" ] }, { "id": "task1420-bc5a60e429994eaaaf1db4b2aa843781", "input": "Problem: to be considered for “ movie of the year , ” a film must appear in at least 1 / 4 of the top - 10 - movies lists submitted by the cinematic academy ’ s 775 members . what is the smallest number of top - 10 lists a film can appear on and still be considered for “ movie of the year ” ? \nOptions: a ) 191 , b ) 194 , c ) 193 , d ) 212 , e ) 213", "output": [ "b" ] }, { "id": "task1420-00d84b022ae44aa580d3354bbc2d9423", "input": "Problem: if ( t - 8 ) is a factor of t ^ 2 - kt - 40 , then k = \nOptions: a ) 16 , b ) 1 , c ) 2 , d ) 6 , e ) 14", "output": [ "b" ] }, { "id": "task1420-6b821227c73f44ae903b21575f0cd545", "input": "Problem: paul ' s income is 40 % less than rex ' s income , quentin ' s income is 20 % less than paul ' s income , and sam ' s income is 40 % less than paul ' s income . if rex gave 60 % of his income to paul and 40 % of his income to quentin , quentin ' s new income would be what fraction of paul ' s new income ? \nOptions: a ) 11 / 12 , b ) 13 / 17 , c ) 22 / 30 , d ) 12 / 19 , e ) 11 / 19", "output": [ "c" ] }, { "id": "task1420-8dc5af5975fa44548f0b6939e7c465ba", "input": "Problem: fog + fog + fog + fog = 1464 . if f , o and g are digits in a 3 - digit number in the preceding equation the f + o + g = ? \nOptions: a ) 11 , b ) 12 , c ) 13 , d ) 14 , e ) 15", "output": [ "e" ] }, { "id": "task1420-4e35810f790f403b85f7149ca42ba02f", "input": "Problem: if 1 / 3 of the passengers on a ship are from north america , 1 / 8 are europeans , 1 / 5 are from africa , 1 / 6 are from asia and the remaining 42 people are citizens of other continents , then how many passengers are on board the ship ? \nOptions: a ) 240 , b ) 250 , c ) 280 , d ) 300 , e ) 320", "output": [ "a" ] }, { "id": "task1420-9d21d22d9afa4de38a2257f5b698e66d", "input": "Problem: a certain characteristic in a large population has a distribution that is symmetric about the mean m . if 68 % of the distribution lies one standard deviation f of the mean , what percent of the distribution is less than m + f ? \nOptions: a ) 16 % , b ) 32 % , c ) 48 % , d ) 84 % , e ) 92 %", "output": [ "d" ] }, { "id": "task1420-4d43e846932d4778ab6befae5e4001af", "input": "Problem: the average weight of 8 person ' s increases by 4 kg when a new person comes in place of one of them weighing 55 kg . what might be the weight of the new person ? \nOptions: a ) 80 kg , b ) 87 kg , c ) 90 kg , d ) 100 kg , e ) 110 kg", "output": [ "b" ] }, { "id": "task1420-91213f687ba44c88b84304acd9388242", "input": "Problem: if 4 ^ ( 2 x + 2 ) = 16 ^ ( 3 x − 1 ) , what is the value of x ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4", "output": [ "b" ] }, { "id": "task1420-4efbbac8e9ac4956a77fe96f977a0752", "input": "Problem: java house charges $ 4.25 for a cup of coffee that costs a total of $ 3.85 to make . cup ' o ' joe charges $ 4.80 for a cup that costs $ 4.65 to make . if java house sells 55000 cups of coffee , how many must cup ' o ' joe sell to make at least as much in total gross profit as its competitor does ? \nOptions: a ) 7,858 , b ) 8,301 , c ) 14,667 , d ) 63,840 , e ) 146,667", "output": [ "e" ] }, { "id": "task1420-ea5177e7f4ee42529d21c8b2c3fb2a3b", "input": "Problem: plaudia can choose any two of 4 different candles and any 8 of 9 different flowers for a centerpiece arrangement . given these choices , how many candle + flower groupings can she select ? \nOptions: a ) 54 , b ) 72 , c ) 96 , d ) 144 , e ) 432", "output": [ "a" ] }, { "id": "task1420-51a3cc6fd618409faa328679b2d18ea7", "input": "Problem: how many liters of pure alcohol must be added to a 100 - liter solution that is 20 percent alcohol in order to produce a solution that is 24 percent alcohol ? \nOptions: a ) 7 / 2 , b ) 5 , c ) 20 / 3 , d ) 100 / 19 , e ) 39 / 4", "output": [ "d" ] }, { "id": "task1420-65a1729be4d041578c3d081fcd451a09", "input": "Problem: find the average of all the numbers between 11 and 34 which are divisible by 5 ? \nOptions: a ) 10 , b ) 20 , c ) 22 , d ) 30 , e ) 15", "output": [ "c" ] }, { "id": "task1420-ae8afcc5d8da4d5389684cbe5a5c46b6", "input": "Problem: find the value of x in ( x + 1 ) / ( x + 3 ) = 5 \nOptions: a ) 2.5 , b ) - 2.5 , c ) 3.0 , d ) 3.5 , e ) - 3.5", "output": [ "e" ] }, { "id": "task1420-baa4533fe3ad47ef9f0d7f7414ec9b68", "input": "Problem: a rope of which a calf is tied is increased from 12 m to 25 m , how much additional grassy ground shall it graze ? \nOptions: a ) 1400 , b ) 141.71 , c ) 1210 , d ) 1511.71 , e ) 1500", "output": [ "d" ] }, { "id": "task1420-8fd7bfe07d524e739d0171f527168ef2", "input": "Problem: a ( 5 , w ^ 3 ) is the ( x , y ) coordinate of point located on the parabola y = x ^ 2 + 2 . what is the value of w ? \nOptions: a ) 3 . , b ) 4 . , c ) 5 . , d ) 6 . , e ) 9", "output": [ "a" ] }, { "id": "task1420-012fd354a9e74254b81c503d8a77ec7e", "input": "Problem: in x - y plane , there is a right triangle abc ( ∠ b = 90 o ) . if the length of ac is 225 and the slope of line segment ac is 4 / 3 , what is the length of ab ? \nOptions: a ) 12 , b ) 180 , c ) 24 , d ) 28 , e ) 40", "output": [ "b" ] }, { "id": "task1420-e23e0f0537a44fbba69a845a141e6f24", "input": "Problem: a batsman makes a score of 66 runs in the 17 th inning and thus increases his averages by 3 . what is his average after 17 th inning ? \nOptions: a ) 25 , b ) 31 , c ) 27 , d ) 29 , e ) 18", "output": [ "e" ] }, { "id": "task1420-aa74daf274aa427b9eb5a2f26e1abf83", "input": "Problem: a worker ' s take - home pay last year was the same each month , and she saved the same fraction of her take - home pay each month . the total amount of money that she had saved at the end of the year was 2 times the amount of that portion of her monthly take - home pay that she did not save . if all the money that she saved last year was from her take - home pay , what fraction of her take - home pay did she save each month ? \nOptions: a ) 1 / 7 , b ) 1 / 6 , c ) 1 / 5 , d ) 1 / 4 , e ) 1 / 3", "output": [ "a" ] }, { "id": "task1420-0458d0c5a2024574867bd448ffa4b0f0", "input": "Problem: if p represents the product of the first 16 positive integers , then p is not a multiple of \nOptions: a ) 99 , b ) 84 , c ) 72 , d ) 65 , e ) 51", "output": [ "e" ] }, { "id": "task1420-63c94fe49933428d9d27c8a96406420b", "input": "Problem: the smallest number which when diminished by 7 , is divisible 12 , 16 , 18 , 21 and 28 is : \nOptions: a ) 1008 , b ) 1015 , c ) 1022 , d ) 1032 , e ) none of these", "output": [ "b" ] }, { "id": "task1420-578b8238b2a244f7a7eb11159789101a", "input": "Problem: if | 5 x - 5 | = 150 , what is the sum of all the possible values of x ? \nOptions: a ) 2 , b ) - 2 , c ) 6 , d ) - 3 , e ) 5", "output": [ "a" ] }, { "id": "task1420-50ec6ae064b0475ab0c473b91a7ac21c", "input": "Problem: in february wilson ’ s earnings were 40 percent of his family ’ s total income . in march wilson earned 25 percent less than in february . if the rest of his family ’ s income was the same in both months , then , in march , wilson ’ s earnings were approximately what percent of his family ’ s total income ? \nOptions: a ) 15 % , b ) 17 % , c ) 24 % , d ) 30 % , e ) 33 %", "output": [ "e" ] }, { "id": "task1420-eea83f4fb7a241bf8923fc1ae062bf5e", "input": "Problem: the average weight of 29 students is 28 kg . by the admission of a new student , the average weight is reduced to 27.1 kg . the weight of the new student is \nOptions: a ) 22 kg , b ) 1 kg , c ) 22.4 kg , d ) 21 kg , e ) none of these", "output": [ "b" ] }, { "id": "task1420-2e0dbd0390674650ab4d0bb478ce7df3", "input": "Problem: for any positive integer n , the sum of the first n positive integers equals n ( n + 1 ) / 2 . what is the sum of all the even integers between 99 and 301 ? \nOptions: a ) 10,100 , b ) 20,200 , c ) 22,650 , d ) 40,200 , e ) 45,150", "output": [ "b" ] }, { "id": "task1420-31f996c98641413984bbd808fb25b4cb", "input": "Problem: a small pool filled only with water will require an additional 400 gallons of water in order to be filled to 80 % of its capacity . if pumping in these additional 400 gallons of water will increase the amount of water in the pool by 30 % , what is the total capacity of the pool in gallons ? \nOptions: a ) 1000 , b ) 1250 , c ) 1300 , d ) 1600 , e ) 1750", "output": [ "e" ] }, { "id": "task1420-25d565d3181e446f8cf0933ccda8b634", "input": "Problem: if a farmer sells 15 of his goats , his stock of feed will last for 4 more days than planned , but if he buys 20 more goats , he will run out of feed 3 days earlier than planned . if no goats are sold or bought , the farmer will be exactly on schedule . how many goats does the farmer have ? \nOptions: a ) 12 , b ) 24 , c ) 48 , d ) 60 , e ) 55", "output": [ "d" ] }, { "id": "task1420-74e9e390a47448f59b493743469185ec", "input": "Problem: if a wholesaler distributes items to several outlets ( a , b , c and d ) in the ratio of 1 / 12 : 1 / 13 : 1 / 15 : 1 / 2 , then find the total number of items the wholesaler distributes ? \nOptions: a ) 567 , b ) 167 , c ) 267 , d ) 467 , e ) 667", "output": [ "a" ] }, { "id": "task1420-d4258246a4e249c59eb467b45637a35e", "input": "Problem: we have boxes colored either red or blue . in each blue box there is a fixed number of blueberries . in each red box there is a fixed number of strawberries . if we dispose of one blue box for one additional red box , the total number of berries would increase by 12 , and the difference between the total number of strawberries and the total number of blueberries would increase by 76 . each blue box contains how many blueberries ? \nOptions: a ) 26 , b ) 28 , c ) 30 , d ) 32 , e ) 34", "output": [ "d" ] }, { "id": "task1420-9f5d2cb3e6dd4c3b86465ae0a1f719b0", "input": "Problem: if the average marks of 3 batches of 55 , 60 and 45 students respectively is 40 , 62 , 58 , then the average marks of all the students is \nOptions: a ) 54.48 , b ) 53.31 , c ) 54.6 , d ) 54.58 , e ) none of these", "output": [ "b" ] }, { "id": "task1420-09abd42aa56246e29e238db87d04e204", "input": "Problem: assume that f ( 1 ) = 0 and f ( m + n ) = f ( m ) + f ( n ) + 4 ( 9 mn - 1 ) . for all natural numbers ( integers > 0 ) m and n . what is the value of f ( 17 ) ? \nOptions: a ) 4832 , b ) 4855 , c ) 4825 , d ) 4895 , e ) 4862", "output": [ "a" ] }, { "id": "task1420-f81465bb377743f58389c5cc462841a8", "input": "Problem: a will was written such that an estate would be divided among 3 guys with the remainder donated to charity . one stipulation in the will is that no one from the guys can receive an amount within 30 % of another ' s amount . if one of the guys received $ 20000 , what is the smallest possible range between the highest and lowest amounts ( rounded to the nearest dollar ) among the 3 guys ? \nOptions: a ) $ 4096 , b ) $ 5904 , c ) $ 7892 , d ) $ 10052 , e ) $ 20736", "output": [ "d" ] }, { "id": "task1420-fa2d35880c414f4fa970c94322ff0775", "input": "Problem: in a group of cows and hens , the number of legs are 10 more than twice the number of heads . the number of cows is : \nOptions: a ) 5 , b ) 6 , c ) 7 , d ) 10 , e ) 12", "output": [ "a" ] }, { "id": "task1420-ba5f4df3c6c04e4db503a7177023c5f2", "input": "Problem: a parking garage rents parking spaces for $ 10 per week or $ 42 per month . how much does a person save in a year by renting by the month rather than by the week ? \nOptions: a ) $ 14 , b ) $ 16 , c ) $ 22 , d ) $ 24 , e ) $ 26", "output": [ "b" ] }, { "id": "task1420-b6f56fda93ba4cb38e9d25361fbcbbca", "input": "Problem: a club wants to mix 10 pounds of candy worth $ 8.00 per pound with candy worth $ 5.00 per pound to reduce the cost of the mixture to $ 6.00 per pound . how many pounds of the $ 5.00 per pound candy should be used ? \nOptions: a ) 20 , b ) 30 , c ) 40 , d ) 50 , e ) 60", "output": [ "a" ] }, { "id": "task1420-54f2aebcf1d04c53a25dd9a6777498d7", "input": "Problem: n a certain flower shop , which stocks 4 types of flowers , there are 1 / 3 as many violets as carnations , and 1 / 4 as many tulips as violets . if there are equal numbers of roses and tulips , what percent of the flowers in the shop are carnations ? \nOptions: a ) 62 , b ) 63 , c ) 64 , d ) 66.66 , e ) 65", "output": [ "d" ] }, { "id": "task1420-069485c6487346e1b26e2f552d176f34", "input": "Problem: in a village there are 150 men and 90 women in present time . if in next year population will be p = ( a ^ 2 + b ^ 2 ) ^ 1 / 2 , and in every year men are reduces 5 % . what is population of after 2 year . \nOptions: a ) 140 , b ) 141 , c ) 142 , d ) 143 , e ) 146", "output": [ "e" ] }, { "id": "task1420-8d04eae59cbd4852a961dfe69e7ab87a", "input": "Problem: if a - b = 3 and a ( power 2 ) + b ( power 2 ) = 39 , find the value of ab . \nOptions: a ) 15 , b ) 8 , c ) 4 , d ) 10 , e ) 3", "output": [ "a" ] }, { "id": "task1420-37156f1015d24c1fae727bbae2b5e677", "input": "Problem: in the rectangular coordinate system , what is the x - intercept of a line passing through ( 10 , 3 ) and ( − 4 , − 4 ) ? \nOptions: a ) 4 , b ) 2 , c ) 0 , d ) − 2 , e ) − 4", "output": [ "a" ] }, { "id": "task1420-4eb773c72e0742c18a122279f79fe2b4", "input": "Problem: if there is an equal probability of a child being born a boy or a girl , what is the probability that a couple who have 5 children have two children of the same sex and one of the opposite sex ? \nOptions: a ) 1 / 3 , b ) 2 / 3 , c ) 1 / 4 , d ) 5 / 16 , e ) 3 / 5", "output": [ "d" ] }, { "id": "task1420-7e11dd0eec6b493d9e4d4abca5dacb42", "input": "Problem: each week , harry is paid x dollars per hour for the first 21 hours and 1.5 x dollars for each additional hour worked that week . each week , james is paid x dollars per per hour for the first 40 hours and 2 x dollars for each additional hour worked that week . last week james worked a total of 41 hours if harry and james were paid the same amount last week , how many hours did harry work last week ? \nOptions: a ) 35 , b ) 36 , c ) 37 , d ) 38 , e ) 39", "output": [ "a" ] }, { "id": "task1420-266419c6327e45448a6c682a9e8bdeeb", "input": "Problem: a grocer has a sale of rs . 3435 , rs . 3927 , rs . 3855 , rs . 4230 and rs . 3562 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 3500 ? \nOptions: a ) s . 1991 , b ) s . 2991 , c ) s . 3991 , d ) s . 4991 , e ) s . 5991", "output": [ "a" ] }, { "id": "task1420-d2b1b6253c0e427bb20b1c80178a592e", "input": "Problem: an italian sausage is 8 inches long . how many pieces of sausage can be cut from the 8 - inch piece of sausage if each piece is to be 2 / 3 of an inch ? \nOptions: a ) 12 , b ) 32 , c ) 22 , d ) 15 , e ) 20", "output": [ "a" ] }, { "id": "task1420-16985275e5d94cf0b0bcb2ac6f0b7c99", "input": "Problem: the sum of all two digit numbers divisible by 4 is \nOptions: a ) 1242 , b ) 1542 , c ) 1742 , d ) 1610 , e ) 1842", "output": [ "a" ] }, { "id": "task1420-a8aecc0efee54ee29e60c54f20a14a27", "input": "Problem: √ ( 36 ) ^ 2 \nOptions: a ) 6 , b ) 14 , c ) 36 , d ) 21 , e ) none of these", "output": [ "c" ] }, { "id": "task1420-fe96ce0d465845e6a0972baf65a3524f", "input": "Problem: according to the formula f = 9 / 5 ( c ) + 32 , if the temperature in degrees farenheit ( f ) increases by 26 , by how much does the temperature in degrees celsius ( c ) increase ? \nOptions: a ) 9 , b ) 14.44 , c ) 47 , d ) 48 3 / 5 , e ) 59", "output": [ "b" ] }, { "id": "task1420-77b18ea3f59e4fdca5b5cffb85701e18", "input": "Problem: 145 liters of a mixture of milk and water contains in the ratio 3 : 2 . how much water should now be added so that the ratio of milk and water becomes 3 : 4 ? \nOptions: a ) 12 liters , b ) 32 liters , c ) 41 liters , d ) 50 liters , e ) 58 liters", "output": [ "e" ] }, { "id": "task1420-bebec3cf34d34840829278784a5ba5a5", "input": "Problem: in an electric circuit , two resistors with resistances x and y are connected in parallel . if r is the combined resistance of these two resistors , then the reciprocal of r is equal to the sum of the reciprocals of x and y . what is r if x is 3 ohms and y is 5 ohms ? \nOptions: a ) 15 / 8 , b ) 3 / 8 , c ) 5 / 8 , d ) 7 / 15 , e ) 8 / 15", "output": [ "a" ] }, { "id": "task1420-b008e59101ec44a0945382691bd87e2f", "input": "Problem: if a - b = 5 and a 2 + b 2 = 31 , find the value of ab . \nOptions: a ) 9 , b ) 2 , c ) 3 , d ) 7 , e ) 12", "output": [ "c" ] }, { "id": "task1420-3df153429aea4a6aa708201aaef0b099", "input": "Problem: two numbers a and b are such that the sum of 5 % of a and 3 % of b is two - third of the sum of 6 % of a and 8 % of b . find the ratio of a : b . \nOptions: a ) 2 : 1 , b ) 1 : 2 , c ) 7 : 3 , d ) 1 : 1 , e ) 3 : 2", "output": [ "c" ] }, { "id": "task1420-2d77392e3f9e4a4d8f7540445487c123", "input": "Problem: if a 2 - b 2 = 8 and a * b = 2 , find a 4 + b 4 . \nOptions: a ) 62 , b ) 72 , c ) 82 , d ) 92 , e ) 62", "output": [ "b" ] }, { "id": "task1420-e8bf2fea28054e568e5952e341e6ffe0", "input": "Problem: last year manfred received 26 paychecks . each of his first 6 paychecks was $ 750 ; each of his remaining paychecks was $ 40 more than each of his first 6 paychecks . to the nearest dollar , what was the average ( arithmetic mean ) amount of his pay checks for the year ? \nOptions: a ) $ 781 , b ) $ 755 , c ) $ 765 , d ) $ 773 , e ) $ 775", "output": [ "a" ] }, { "id": "task1420-8ec004a73f724dcf8611fdcb8cd278ff", "input": "Problem: a pineapple costs rs 9 each and a watermelon costs rs . 6 each . if i spend rs 51 on total what is the number of pineapple i purchased ? \nOptions: a ) 6 , b ) 7 , c ) 5 , d ) 3 , e ) 2", "output": [ "c" ] }, { "id": "task1420-395608e293e84af7848d338e1c742e24", "input": "Problem: can you find a 6 digit number under 5 lakh such that the sum of it ' s digits is 43 ? \nOptions: a ) 588338 , b ) 499449 , c ) 399826 , d ) 788392 , e ) 622975", "output": [ "b" ] }, { "id": "task1420-c140c26cc2a84f178bdf26c9443ad309", "input": "Problem: a sum of money lent out at s . i . amounts to rs . 710 after 2 years and to rs . 1020 after a further period of 5 years . the sum is ? \nOptions: a ) s . 440 , b ) s . 586 , c ) s . 540 , d ) s . 740 , e ) s . 840", "output": [ "b" ] }, { "id": "task1420-c9b9477fd0d74bf689952f0c60fafad7", "input": "Problem: an art gallery has only paintings and sculptures . currently , 1 / 3 of the pieces of art are displayed , and 1 / 6 of the pieces on display are sculptures . if 1 / 3 of the pieces not on display are paintings , and 1200 sculptures are not on display , how many pieces of art does the gallery have ? \nOptions: a ) 360 , b ) 2700 , c ) 540 , d ) 640 , e ) 720", "output": [ "b" ] }, { "id": "task1420-c9488ecef62a4f0d8b76f045f7301d3f", "input": "Problem: marketing executives for a certain chewing gum company projected a 40 percent increase in revenue this year over that of last year , but revenue this year actually decreased by 30 % . what percent of the projected revenue was the actual revenue ? \nOptions: a ) 50 % , b ) 58 % , c ) 62.5 % , d ) 64 % , e ) 75 %", "output": [ "a" ] }, { "id": "task1420-4c3744f94a8844bc82578b5ccc775fa4", "input": "Problem: in a certain lottery , the probability that a number between 12 and 20 , inclusive , is drawn is 1 / 4 . if the probability that a number 12 or larger is drawn is 2 / 3 , what is the probability that a number less than or equal to 20 is drawn ? \nOptions: a ) 1 / 18 , b ) 1 / 6 , c ) 1 / 3 , d ) 1 / 2 , e ) 7 / 12", "output": [ "e" ] }, { "id": "task1420-fe6364c7cb664df2b2d63ad5676c92c1", "input": "Problem: the average of 10 numbers is 7 . if each number is multiplied by 12 , then the average of new set of numbers is \nOptions: a ) 28 , b ) 236 , c ) 288 , d ) 84 , e ) 26", "output": [ "d" ] }, { "id": "task1420-b98f6b0724d2468a9ee3868b2d655e9c", "input": "Problem: what is the average of 12 , 13 , 14 , 510 , 520 , 530 , 1115 , 1120 , and 1 , 1252140 , 2345 ? \nOptions: a ) 419 , b ) 551 , c ) 601 , d ) 620 , e ) 858.54", "output": [ "e" ] }, { "id": "task1420-c9c1e748e5224846b17d02948160f033", "input": "Problem: in the youth summer village there are 300 people , 200 of them are not working , 100 of them have families and 125 of them like to sing in the shower . what is the largest possible number of people in the village , which are working , that do n ' t have families and that are singing in the shower ? \nOptions: a ) 150 , b ) 125 , c ) 175 , d ) 200 , e ) 100", "output": [ "e" ] }, { "id": "task1420-ba4578ef38ef4caa8b95434212039ee4", "input": "Problem: if a = { 9 , 17 , 25 , 28 , 29 , 30 } , how much less is the mean of the numbers in a than the median of the numbers in s ? \nOptions: a ) 1.0 , b ) 9.6 , c ) 3.5 , d ) 3.2 , e ) 5.1", "output": [ "c" ] }, { "id": "task1420-d9d6951558f942098429d506038502b9", "input": "Problem: there has been successive increases of 25 % and then 15 % in the price of gas from the previous month . by what percentage should a driver reduce gas consumption so that the expenditure does not change ? \nOptions: a ) 30 % , b ) 50 % , c ) 66.66 % , d ) 15 % , e ) 75 %", "output": [ "a" ] }, { "id": "task1420-2182405d583a4c518605a159b6b5cc73", "input": "Problem: the average marks of a class of 30 students is 40 and that of another class of 50 students is 90 . find the average marks of all the students ? \nOptions: a ) 71.25 , b ) 52.9 , c ) 52.1 , d ) 52.3 , e ) 42.5", "output": [ "a" ] }, { "id": "task1420-b99b9b858f554c80b2c5af5c0c7554be", "input": "Problem: the ratio of a to b to c is 2 to 3 to 4 , and a , b , c are positive integers . if the average ( arithmetic mean ) of the 3 numbers is 42 , what is the value of a ? \nOptions: a ) 24 , b ) 25 , c ) 28 , d ) 30 , e ) 32", "output": [ "c" ] }, { "id": "task1420-2db1424aa11848b58d380fd91dff43e5", "input": "Problem: list i : { y , 2 , 4 , 7 , 10 , 11 } list ii : { 3 , 3 , 4 , 6 , 7 , 10 } if the median q of list i is equal to the sum of the median of list ii and the mode of list ii , then y equals \nOptions: a ) 5 , b ) 7 , c ) 8 , d ) q = 9 , e ) 10", "output": [ "d" ] }, { "id": "task1420-dad1b6226b6f4c77b1eec9b954b8c0b2", "input": "Problem: a lemonade stand sold only small and large cups of lemonade on tuesday . 4 / 5 of the cups sold were small and the rest were large . if the large cups were sold for 7 / 6 as much as the small cups , what fraction of tuesday ' s total revenue was from the sale of large cups ? \nOptions: a ) ( a ) 7 / 16 , b ) ( b ) 7 / 15 , c ) ( c ) 10 / 21 , d ) ( d ) 7 / 31 , e ) ( e ) 1 / 2", "output": [ "d" ] }, { "id": "task1420-43b3f348bd5a46d38bcc2f8f2f4dcf15", "input": "Problem: village x has a population of 78000 , which is decreasing at the rate of 1200 per year . village y has a population of 42000 , which is increasing at the rate of 800 per year . in how many years will the population of the two villages be equal ? \nOptions: a ) 15 , b ) 19 , c ) 11 , d ) 18 , e ) 13", "output": [ "d" ] }, { "id": "task1420-23a5a9d9acac498fad92836d3781a11a", "input": "Problem: . 008 / ? = . 01 \nOptions: a ) . 8 , b ) . 09 , c ) . 009 , d ) . 0009 , e ) none of them", "output": [ "a" ] }, { "id": "task1420-1c1f59a06cec4fa88491aa3e8649bfc4", "input": "Problem: a retailer bought a coat at wholesale and marked it up 90 % to its initial price of $ 76 . by how many more dollars does he need to increase the price to achieve a 100 % markup ? \nOptions: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 10", "output": [ "b" ] }, { "id": "task1420-99ec652caad04c61a41ec71863478550", "input": "Problem: the average of 6 quantities is 8 . the average of 4 of them is 5 . what is the avg . of the remaining 2 numbers ? \nOptions: a ) 11 , b ) 12 , c ) 13 , d ) 14 , e ) 15", "output": [ "d" ] }, { "id": "task1420-9904d52a8f8e4e4f9ed16263049447b4", "input": "Problem: a student got twice as many sums wrong as he got right . if he attempted 27 sums in all , how many did he solve correctly ? \nOptions: a ) 12 , b ) 16 , c ) 18 , d ) 9 , e ) 12", "output": [ "d" ] }, { "id": "task1420-f18b124ef9af405dbaf081548932d660", "input": "Problem: a man owns 2 / 3 of market reserch beauro buzness , and sells 3 / 4 of his shares for 30000 rs , what is the value of buzness ? \nOptions: a ) 75000 , b ) 160000 , c ) 170000 , d ) 60000 , e ) 70000", "output": [ "d" ] }, { "id": "task1420-4f6c367eec0a4a29a2dcc924462c276f", "input": "Problem: let f ( x , y ) be defined as the remainder when ( x – y ) ! is divided by x . if x = 24 , what is the maximum value of y for which f ( x , y ) = 0 ? \nOptions: a ) 12 , b ) 15 , c ) 18 , d ) 20 , e ) 21", "output": [ "d" ] }, { "id": "task1420-23e88d533bf44e22a0cc2c66e15437f2", "input": "Problem: when 242 is divided by a certain divisor the remainder obtained is 12 . when 698 is divided by the same divisor the remainder obtained is 16 . however , when the sum of the two numbers 242 and 698 is divided by the divisor , the remainder obtained is 10 . what is the value of the divisor ? \nOptions: a ) 11 , b ) 18 , c ) 13 , d ) 23 , e ) none of these", "output": [ "b" ] }, { "id": "task1420-059b5c914b464a69a29b619d825eacaf", "input": "Problem: if x is to be chosen at random from the integers between 1 to 6 , inclusive , and y is to be chosen at random from the integers between 7 and 11 , inclusive , what is the probability that x + y will be even ? \nOptions: a ) 1 / 2 , b ) 2 / 3 , c ) 3 / 4 , d ) 4 / 5 , e ) 5 / 6", "output": [ "a" ] }, { "id": "task1420-ffc2cf7b197b42d69eeb193b06c04cb3", "input": "Problem: the population of a town increased from 1 , 75000 to 2 , 62500 in a decade . what is the average percent increase of population per year ? \nOptions: a ) 4 % , b ) 6 % , c ) 5 % , d ) 50 % , e ) none of these", "output": [ "c" ] }, { "id": "task1420-d52b49355dd940198a103defc67719f4", "input": "Problem: $ 600 is divided amongst a , b and c so that a may get 2 / 3 as much as b and c together , b may get 6 / 9 as much as a and c together , then the share of a is \nOptions: a ) $ 100 , b ) $ 150 , c ) $ 125 , d ) $ 200 , e ) $ 240", "output": [ "e" ] }, { "id": "task1420-6a22dc523ca741f5b967e01385aa2e2c", "input": "Problem: a 50 ml after - shave lotion at 30 % alcohol is mixed with 30 ml of pure water . what is the percentage of alcohol in the new solution ? \nOptions: a ) 16.75 % , b ) 17.75 % , c ) 18.75 % , d ) 19.75 % , e ) none of these", "output": [ "c" ] }, { "id": "task1420-5c52480fe8e64a99ab2f97d7bb8415f9", "input": "Problem: what is the sum of the multiples of 4 between 34 and 135 inclusive ? \nOptions: a ) 2000 , b ) 2100 , c ) 2150 , d ) 2200 , e ) 2500", "output": [ "b" ] }, { "id": "task1420-95bb1862e5254985b0382411621f8af0", "input": "Problem: when positive integer x is divided by positive integer y , the remainder is 8 . if x / y = 76.4 , what is the value of y ? \nOptions: a ) 20 , b ) 22 , c ) 23 , d ) 24 , e ) 25", "output": [ "a" ] }, { "id": "task1420-de4fbe0da67340778cc52a561549f5ad", "input": "Problem: a circular racetrack is 3 miles in length and has signs posted to indicate each 1 / 10 mile increment . if a race car starts at a random location on the track and travels exactly one half mile , what is the probability that the car ends within a half mile of the sign indicating 2 1 / 2 miles ? \nOptions: a ) 1 / 6 , b ) 3 / 10 , c ) 1 / 3 , d ) 1 / 2 , e ) 2 / 3", "output": [ "c" ] }, { "id": "task1420-073bdd588a094013bd328dfdbaaa698b", "input": "Problem: working alone , printers x , y , and z can do a certain printing job , consisting of a large number of pages , in 15 , 10 , and 20 hours , respectively . what is the ratio of the time it takes printer x to do the job , working alone at its rate , to the time it takes printers y and z to do the job , working together at their individual rates ? \nOptions: a ) 5 / 2 , b ) 8 / 3 , c ) 9 / 4 , d ) 10 / 3 , e ) 12 / 5", "output": [ "c" ] }, { "id": "task1420-2bf2d185b31c419b85bb8d442b7140f4", "input": "Problem: the average weight of 10 persons increases by 6.3 kg when a new person comes in place of one of them weighing 65 kg . what might be the weight of the new person ? \nOptions: a ) 176 kg , b ) 80 kg , c ) 185 kg , d ) 90 kg , e ) 128 kg", "output": [ "e" ] }, { "id": "task1420-aade60a4da564b6ea51c6d2df8345f55", "input": "Problem: 5.005 / 4.004 = \nOptions: a ) 1.05 , b ) 1.50015 , c ) 1.501 , d ) 1.5015 , e ) 1.25", "output": [ "e" ] }, { "id": "task1420-069d4d8fb98c443e995492b5fa565778", "input": "Problem: the average age of a family of 6 members is 22 years . if the age of the youngest member is 7 years , what was the average age of the family at the birth of the youngest member ? \nOptions: a ) 15 , b ) 18 , c ) 21 , d ) 12 , e ) 19", "output": [ "a" ] }, { "id": "task1420-a74b9a728a33456d93e830a463f58633", "input": "Problem: the average of first 6 natural numbers is ? \nOptions: a ) 5.2 , b ) 3.5 , c ) 5.3 , d ) 5.9 , e ) 5.1", "output": [ "b" ] }, { "id": "task1420-c26c6f0897a8424998644e2af0ba2536", "input": "Problem: a , b and c have rs . 600 between them , a and c together have rs . 250 and b and c rs . 450 . how much does c have ? \nOptions: a ) 70 , b ) 90 , c ) 120 , d ) 100 , e ) 140", "output": [ "d" ] }, { "id": "task1420-1538d3f16be942ac942e71a17a0617d6", "input": "Problem: workers decided to raise rs . 3 lacs by equal contribution from each . had they contributed rs . 50 eachextra , the contribution would have been rs . 3.20 lacs . how many workers were they ? \nOptions: a ) 220 , b ) 400 , c ) 500 , d ) 560 , e ) 590", "output": [ "b" ] }, { "id": "task1420-6ff4ac6738f64d758e9de2c55990f5b6", "input": "Problem: a 100 - litre mixture of milk and water contains 36 litres of milk . ' x ' litres of this mixture is removed and replaced with an equal quantum of water . if the process is repeated once , then the concentration of the milk stands reduced at 16 % . what is the value of x ? \nOptions: a ) 37.5 litres , b ) 36.67 litres , c ) 37.67 litres , d ) 36.5 litres , e ) 33.33 litres", "output": [ "e" ] }, { "id": "task1420-53e986f734994ace87f9b74852dbb6d3", "input": "Problem: in 1982 and 1983 , company b ’ s operating expenses were $ 12.0 million and $ 15.0 million , respectively , and its revenues were $ 15.6 million and $ 18.8 million , respectively . what was the percent increase in company b ’ s profit ( revenues minus operating expenses ) from 1982 to 1983 ? \nOptions: a ) 3 % , b ) 5 5 / 9 % , c ) 25 % , d ) 33 1 / 3 % , e ) 60 %", "output": [ "b" ] }, { "id": "task1420-21241084c9f94a4bbbfe0e2bdd41926f", "input": "Problem: if the average ( arithmetic mean ) of 2 a + 16 , 3 a - 8 is 94 , what is the value of a ? \nOptions: a ) 25 , b ) 30 , c ) 28 , d ) 36 , e ) 42", "output": [ "d" ] }, { "id": "task1420-aa57110a09a04bc4acb7cf0f933651a5", "input": "Problem: on dividing 109 by a number , the quotient is 9 and the remainder is 1 . find the divisor . \nOptions: a ) 10 , b ) 11 , c ) 12 , d ) 13 , e ) 15", "output": [ "c" ] }, { "id": "task1420-cdc51e096e3a44d88992d89a8f0992c4", "input": "Problem: find the value of 3 / 11 × [ ( 1 + 1 / 3 ) ( 1 + 1 / 4 ) … … … … . ( 1 + 1 / 120 ) ] is ? \nOptions: a ) 11 , b ) 12 , c ) 14 , d ) 15 , e ) 16", "output": [ "a" ] }, { "id": "task1420-86b658ee0eea4c3d8194b33b64b68541", "input": "Problem: think of a number , divide it by 5 and add 23 to it . the result is 42 . what is the number thought of ? \nOptions: a ) 24 , b ) 77 , c ) 297 , d ) 267 , e ) 95", "output": [ "e" ] }, { "id": "task1420-3253761f3994443887fcbc0bc1a62153", "input": "Problem: mudit ' s age 16 years hence will be thrice his age 4 years ago . find mudit ' s present age ? \nOptions: a ) 14 , b ) 19 , c ) 27 , d ) 18 , e ) 15", "output": [ "a" ] }, { "id": "task1420-cc9c3e4b95764a619e4ab05adac7b684", "input": "Problem: in the faculty of reverse - engineering , 100 second year students study numeric methods , 100 second year students study automatic control of airborne vehicles and 25 second year students study them both . how many students are there in the faculty if the second year students are approximately 50 % of the total ? \nOptions: a ) 340 , b ) 335 , c ) 370 , d ) 360 , e ) 350", "output": [ "e" ] }, { "id": "task1420-977554f9fc104f33aa41e73876e039e9", "input": "Problem: the positive numbers w , x , y , and z are such that x is 25 percent greater than y , y is 20 percent greater than z , and w is 20 percent less than x . what percent greater than z is w ? \nOptions: a ) 15.2 % , b ) 16.2 % , c ) 20.0 % , d ) 23.2 % , e ) 24.8 %", "output": [ "b" ] }, { "id": "task1420-39c0cc342ac44eb2a0116beceaab359f", "input": "Problem: a batsman makes a score of 87 runs in the 17 th inning and thus increases his average by 4 . find his average after 17 th inning . \nOptions: a ) 36 , b ) 39 , c ) 23 , d ) 45 , e ) none of the above", "output": [ "c" ] }, { "id": "task1420-d2c1a648c6ce4724b8567580d93ec885", "input": "Problem: calculate 469138 x 9999 = ? \nOptions: a ) 4586970843 , b ) 4686970743 , c ) 4690910862 , d ) 4586870843 , e ) none", "output": [ "c" ] }, { "id": "task1420-7ed3f75edb9843969f462b3a85de4c2a", "input": "Problem: harold and millicent are getting married and need to combine their already - full libraries . if harold , who has 1 / 2 as many books as millicent , brings 1 / 3 of his books to their new home , then millicent will have enough room to bring 1 / 4 of her books to their new home . what fraction of millicent ' s old library capacity is the new home ' s library capacity ? \nOptions: a ) 1 / 2 , b ) 2 / 3 , c ) 3 / 4 , d ) 4 / 5 , e ) 5 / 12", "output": [ "e" ] }, { "id": "task1420-6331a4671a1a423a820d2e86bfb7e51f", "input": "Problem: if x is equal to the sum of the integers from 40 to 60 , inclusive , and y is the number of even integers from 40 to 60 , inclusive , what is the value of x + y ? \nOptions: a ) 1021 , b ) 1041 , c ) 1061 , d ) 1081 , e ) 1101", "output": [ "c" ] }, { "id": "task1420-b994028944ca4b578cefe8bf16e216fa", "input": "Problem: what will be the vulgar fraction of 0.70 \nOptions: a ) 3 / 5 , b ) 7 / 10 , c ) 3 / 2 , d ) 3 / 7 , e ) 3 / 8", "output": [ "b" ] }, { "id": "task1420-c62e5d7eafc84d969e94a248fbcce89a", "input": "Problem: what is the sum of all even numbers from 1 to 701 ? \nOptions: a ) 122821 , b ) 281228 , c ) 281199 , d ) 122850 , e ) 128111", "output": [ "d" ] }, { "id": "task1420-2315272d0c8a4353b32faa6a82b82444", "input": "Problem: the average of temperatures at noontime from monday to friday is 30 ; the lowest one is 20 , what is the possible maximum range of the temperatures ? \nOptions: a ) 20 , b ) 25 , c ) 40 , d ) 45 , e ) 10", "output": [ "e" ] }, { "id": "task1420-f4858241cf56433f8be4c47e334589c7", "input": "Problem: how many positive integers less than 5,000 are evenly divisible by neither 15 nor 23 ? \nOptions: a ) 4,514 , b ) 4,475 , c ) 4,521 , d ) 4,428 , e ) 4,349", "output": [ "c" ] }, { "id": "task1420-3d1fe3eb2d8845e7b7db74d9338288ae", "input": "Problem: q is as much younger than r as he is older than t . if the sum of the ages of r and t is 50 years , what is definitely the difference between r and q ' s age ? \nOptions: a ) 23 , b ) 28 , c ) 25 , d ) 19 , e ) 11", "output": [ "c" ] }, { "id": "task1420-320e7c1acc72467da1ae0a85f34eed06", "input": "Problem: operation # is defined as : a # b = 4 a ^ 2 + 4 b ^ 2 + 8 ab for all non - negative integers . what is the value of ( a + b ) + 4 , when a # b = 100 ? \nOptions: a ) 5 , b ) 9 , c ) 10 , d ) 13 , e ) 17", "output": [ "b" ] }, { "id": "task1420-b18b2ac0b351461e9c7307bed60a9c36", "input": "Problem: how many times will the digit 4 be written when listing the integers from 1 to 1000 ? \nOptions: a ) 512 , b ) 300 , c ) 294 , d ) 264 , e ) 385", "output": [ "b" ] }, { "id": "task1420-77f19fde171942459436072a4b26f16a", "input": "Problem: the average speed of a car is 1 4 / 5 times the avg speed of a bike . a tractor covers 575 km in 23 hrs . how much distance will the car cover in 4 hrs if the speed of the bike is twice speed of the tractor ? \nOptions: a ) 300 km , b ) 320 km , c ) 360 km , d ) 390 km , e ) 400 km", "output": [ "c" ] }, { "id": "task1420-b1ce7560185c47b18547d42a1e054b28", "input": "Problem: working alone , printers x , y , and z can do a certain printing job , consisting of a large number of pages , in 12 , 10 , and 20 hours , respectively . what is the ratio of the time it takes printer x to do the job , working alone at its rate , to the time it takes printers y and z to do the job , working together at their individual rates ? \nOptions: a ) 5 / 3 , b ) 7 / 4 , c ) 9 / 5 , d ) 11 / 6 , e ) 13 / 7", "output": [ "c" ] }, { "id": "task1420-b91b339664754b03907db542c740e63d", "input": "Problem: 32 = a + 2 b | a | > 2 if ‘ a ’ and ‘ b ’ are both integers , then what is the smallest possible values of ‘ a ’ that can be used to solve the above equation . \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6", "output": [ "c" ] }, { "id": "task1420-451e854b152045a3aba7f50cf7ef8911", "input": "Problem: when an amount was distributed among 14 boys , each of them got rs 80 more than the amount received by each boy when the same amount is distributed equally among 18 boys . what was the amount ? \nOptions: a ) 5000 , b ) 5030 , c ) 5010 , d ) 5040 , e ) 5020", "output": [ "d" ] }, { "id": "task1420-1a1282461f0545379a1223fcad9a1272", "input": "Problem: for the symbol , m ” n = n ^ 2 − m for all values of m and n . what is the value of 6 ” 3 ? \nOptions: a ) 5 , b ) 3 , c ) 2 , d ) 1 , e ) 0", "output": [ "b" ] }, { "id": "task1420-4485360197b1494483c56f961ebcb5ff", "input": "Problem: a person ' s present age is two - fifth of the age of his mother . after 10 years , he will be one - half of the age of his mother . how old is the mother at present ? \nOptions: a ) a ) 25 , b ) b ) 40 , c ) c ) 32 , d ) d ) 50 , e ) e ) 28", "output": [ "d" ] }, { "id": "task1420-4069ab685c7441e3bf674787a7c5d34e", "input": "Problem: find the value of y from ( 12 ) ^ 1 x 6 ^ 4 ÷ 432 = y ? \nOptions: a ) 2134 , b ) 2234 , c ) 2540 , d ) 2560 , e ) 36", "output": [ "e" ] }, { "id": "task1420-859cf061272e4d0493f0e41a75d8d5c0", "input": "Problem: a sum of money is sufficient to pay b ' s wages for 12 days and c ' s wages for 24 days . the same money is sufficient to pay the wages of both for ? \nOptions: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10", "output": [ "c" ] }, { "id": "task1420-53c0e8b70cee4ceb91871aa535471108", "input": "Problem: if there are 10 peanuts in a box and mary puts 8 more peanuts inside , how many peanuts are in the box ? \nOptions: a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 18", "output": [ "e" ] }, { "id": "task1420-e4c8203f4f15440383f51ba809249a92", "input": "Problem: the sum of all two digit numbers divisible by 7 is \nOptions: a ) 910 , b ) 510 , c ) 728 , d ) 628 , e ) 810", "output": [ "c" ] }, { "id": "task1420-347710071eb84602bec6a05e0de682f2", "input": "Problem: two brothers ram and ravi appeared for an exam . the probability of selection of ram is 2 / 7 and that of ravi is 1 / 5 . find the probability that both of them are selected . \nOptions: a ) 2 / 35 , b ) 2 / 3 , c ) 7 / 35 , d ) 5 / 7 , e ) 7 / 5", "output": [ "a" ] }, { "id": "task1420-fd1fc009c75c49af81e6fe55dd492aae", "input": "Problem: a number is doubled and 5 is added . if the resultant is trebled , it becomes 123 . what is that number ? \nOptions: a ) 12 , b ) 29 , c ) 27 , d ) 18 , e ) 99", "output": [ "d" ] }, { "id": "task1420-28e43eec64f3417ba8ceadb929d17320", "input": "Problem: for each color copy , print shop x charges $ 1.20 and print shop y charges $ 1.70 . how much greater is the charge for 70 color copies at print shop y than at print shop x ? \nOptions: a ) $ 27 , b ) $ 29 , c ) $ 31 , d ) $ 33 , e ) $ 35", "output": [ "e" ] }, { "id": "task1420-b676aa3386b948a4bcf3b1491721445e", "input": "Problem: a salesman ’ s terms were changed from a flat commission of 5 % on all his sales to a fixed salary of rs . 1200 plus 2.5 % commission on all sales exceeding rs . 4,000 . if his remuneration as per new scheme was rs . 1200 more than that by the previous schema , his sales were worth ? \nOptions: a ) 12028 , b ) 12000 , c ) 12019 , d ) 16000 , e ) 12012", "output": [ "d" ] }, { "id": "task1420-97d0241b598b4c4db07a4579eed6b702", "input": "Problem: the least number which must be subtracted from 670 to make it exactly divisible by 9 is : \nOptions: a ) a ) 2 , b ) b ) 3 , c ) c ) 4 , d ) d ) 5 , e ) e ) 6", "output": [ "c" ] }, { "id": "task1420-bf1005ae2c1e42d383021f28adc63827", "input": "Problem: find the principle on a certain sum of money at 5 % per annum for 3 1 / 5 years if the amount being rs . 580 ? \nOptions: a ) rs . 500 , b ) rs . 5100 , c ) rs . 530 , d ) rs . 540 , e ) none of these", "output": [ "a" ] }, { "id": "task1420-e5a52adad9a94a7998044c803e739ef9", "input": "Problem: 90 is divided into two parts in such a way that seventh part of first and ninth part of second are equal . find the smallest part ? \nOptions: a ) 66 , b ) 35 , c ) 42 , d ) 27 , e ) 11", "output": [ "b" ] }, { "id": "task1420-583427d5314c4b348df0ea1a770b3691", "input": "Problem: when 242 is divided by a certain divisor the remainder obtained is 11 . when 698 is divided by the same divisor the remainder obtained is 18 . however , when the sum of the two numbers 242 and 698 is divided by the divisor , the remainder obtained is 9 . what is the value of the divisor ? \nOptions: a ) 11 , b ) 17 , c ) 13 , d ) 20 , e ) none of these", "output": [ "d" ] }, { "id": "task1420-0d58ea40f6074a16b38693cd9015afda", "input": "Problem: two airplanes fly the same exact route from atlanta to chicago . plane a flies 200 mph while plane b flies 300 mph ( assume that simple model versus actual acceleration / deceleration near the airports ) . if plane a took off exactly 40 minutes before plane b , after how many minutes will plane b overtake plane a ? \nOptions: a ) 65 , b ) 80 , c ) 90 , d ) 115 , e ) 120", "output": [ "b" ] }, { "id": "task1420-5e471f34923c4866b92fe571e9a71049", "input": "Problem: what is the smallest integer k for which 64 ^ k > 4 ^ 22 ? \nOptions: a ) 4 , b ) 5 , c ) 6 , d ) 7 , e ) 8", "output": [ "e" ] }, { "id": "task1420-9ca40986b8d448bd901b9d939d774cdc", "input": "Problem: a certain sum of money is divided among a , b and c such that a gets one - third of what b and c together get and b gets two - seventh of what a and c together get . if the amount received by a is $ 20 more than that received by b , find the total amount shared by a , b and c . \nOptions: a ) $ 320 , b ) $ 420 , c ) $ 720 , d ) $ 220 , e ) $ 200", "output": [ "c" ] }, { "id": "task1420-0f2a17b334c14310a0d38eed65e09b3d", "input": "Problem: rates for having a manuscript typed at a certain typing service are $ 5 per page for the first time a page is typed and $ 3 per page each time a page is revised . if a certain manuscript has 100 pages , of which 30 were revised only once , 20 were revised twice , and the rest required no revisions , what was the total cost of having the manuscript typed ? \nOptions: a ) $ 430 , b ) $ 620 , c ) $ 650 , d ) $ 680 , e ) $ 710", "output": [ "e" ] }, { "id": "task1420-e5c6c1caba7c4d4398fc23d6cef59fcf", "input": "Problem: a library has an average of 600 visitors on sundays and 240 on other days . the average number of visitors per day in a month of 30 days beginning with a sunday is : \nOptions: a ) 250 , b ) 260 , c ) 300 , d ) 285 , e ) none", "output": [ "c" ] }, { "id": "task1420-016b39ed30c04112836e1fcf62c11e7a", "input": "Problem: the difference between a two digit number and the number obtained by interchanging the digits is 36 . what is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1 : 2 ? \nOptions: a ) 4 , b ) 8 , c ) 12 , d ) 16 , e ) 18", "output": [ "b" ] }, { "id": "task1420-8046280d4b4848b88a9fcc865be63659", "input": "Problem: a store owner estimates that the average price of type a products will increase by 25 % next year and that the price of type b products will increase by 20 % next year . this year , the total amount paid for type a products was $ 4500 and the total price paid for type b products was $ 8300 . according to the store owner ' s estimate , and assuming the number of products purchased next year remains the same as that of this year , how much will be spent for both products next year ? \nOptions: a ) $ 14,755 , b ) $ 15,585 , c ) $ 16,000 , d ) $ 16,225 , e ) $ 17,155", "output": [ "b" ] }, { "id": "task1420-eff7fd18c1bb4d74a608a191f91ca1b3", "input": "Problem: find the value of 72515 x 9999 = m ? \nOptions: a ) 345434667 , b ) 246465757 , c ) 465767867 , d ) 725077485 , e ) 645354643", "output": [ "d" ] }, { "id": "task1420-7eae8c0176684292ae5f6933058c40ad", "input": "Problem: a sports retailer ordered white and yellow tennis balls in equal number but the dispatch clerk of the tennis ball company erred and dispatched 20 extra yellow balls and making ratio of white balls to yellow balls 8 / 13 . how many tennis balls did the retailer order originally . \nOptions: a ) 64 , b ) 130 , c ) 140 , d ) 160 , e ) 120", "output": [ "a" ] }, { "id": "task1420-879cbcbc799049549715213591c084d1", "input": "Problem: the ages of patrick and michael are in the ratio of 3 : 5 and that of michael and monica are in the ratio of 3 : 5 . if the sum of their ages is 147 , what is the difference between the ages of patrick and monica ? \nOptions: a ) 48 , b ) 47 , c ) 46 , d ) 49 , e ) 52", "output": [ "a" ] }, { "id": "task1420-e8b0fc4903314cbe9e49d0703699c32c", "input": "Problem: a driver would have reduced the time it took to drive from home to the store by 1 / 3 if the average speed had been increased by 21 miles per hour . what was the actual average speed , in miles per hour , when the driver drove from home to the store ? \nOptions: a ) 36 , b ) 42 , c ) 45 , d ) 48 , e ) 51", "output": [ "b" ] }, { "id": "task1420-a61df078c45c470ba9bdab602a108cf2", "input": "Problem: 10 camels cost as much as 24 horses , 16 horses cost as much as 4 oxen and 6 oxen as much as 4 elephants . if the cost of 10 elephants is rs . 120000 , find the cost of a camel ? \nOptions: a ) s . 9800 , b ) s . 3800 , c ) s . 9800 , d ) s . 4800 , e ) s . 6880", "output": [ "d" ] }, { "id": "task1420-7065129b9a574d88a4474a7127b10116", "input": "Problem: what is the largest 4 digit number exactly divisible by 50 ? \nOptions: a ) 4676 , b ) 4678 , c ) 9950 , d ) 9504 , e ) 9936", "output": [ "c" ] }, { "id": "task1420-e87279655b1945b7ac24fb020142dca4", "input": "Problem: the difference between a number and its two - fifth is 510 . what is 5 % of that number ? \nOptions: a ) 425 , b ) 300 , c ) 255 , d ) 300 , e ) 400", "output": [ "a" ] }, { "id": "task1420-47f8585d8f334f588732661fb8c68f57", "input": "Problem: find the sum the difference between the compound and s . i . on a certain sum of money for 2 years at 10 % per annum is rs . 20 of money ? \nOptions: a ) 1500 , b ) 1992 , c ) 9921 , d ) 2798 , e ) 2000", "output": [ "e" ] }, { "id": "task1420-550b114a16094c51901c6823ddf7e7f6", "input": "Problem: find the value of m 82519 x 9999 = m ? \nOptions: a ) 724533811 , b ) 353654655 , c ) 825107481 , d ) 725117481 , e ) 477899932", "output": [ "c" ] }, { "id": "task1420-07cb40da9df74eebbe1de95df039d242", "input": "Problem: dick and jane each saved $ 1000 in 1989 . in 1990 dick saved 15 percent more than in 1989 , and together he and jane saved a total of $ 2000 . approximately what percent less did jane save in 1990 than in 1989 ? \nOptions: a ) 3 % , b ) 5 % , c ) 10 % , d ) 15 % , e ) 18 %", "output": [ "d" ] }, { "id": "task1420-8ab453d84fca4d07a0909f3eb70c9481", "input": "Problem: find the product of the place value and face value of 3 in 5769354 \nOptions: a ) 900 , b ) 9000 , c ) 90 , d ) 9 , e ) 0.9", "output": [ "a" ] }, { "id": "task1420-0bf9c574137f45dbb7bf0b61d503b4fb", "input": "Problem: how many three - digit whole numbers yield a remainder of 1 when divided by 10 and also yield a remainder of 1 when divided by 6 ? \nOptions: a ) none , b ) one , c ) two , d ) three , e ) four", "output": [ "a" ] }, { "id": "task1420-0cf2cecff3234e20b24ee154aceeafda", "input": "Problem: there are , in a certain league , 50 teams , and each team face another team for a total of 4 times . how many games are played in the season ? \nOptions: a ) 6660 , b ) 3600 , c ) 2400 , d ) 4900 , e ) 5400", "output": [ "d" ] }, { "id": "task1420-df3dc85c4a6b4aa7b0dc6e2c52d95d4c", "input": "Problem: 4 years ago , paula was 4 times as old as karl . in 4 years , paula will be twice as old as karl . what is the sum of their ages now ? \nOptions: a ) 22 , b ) 24 , c ) 26 , d ) 28 , e ) 30", "output": [ "d" ] }, { "id": "task1420-d4e90b8fd89a49c489c459428f602a84", "input": "Problem: 96 % of 5 / 8 = \nOptions: a ) 0.2 , b ) 0.5 , c ) 0.6 , d ) 0.75 , e ) 1.0", "output": [ "c" ] }, { "id": "task1420-7b84551b14804de2b3cb31576114d02d", "input": "Problem: a and b start a business jointly . a invests rs 16000 for 8 month and b remains in the business for 4 months . out of total profit , b claims 2 / 7 of the profit . how much money was contributed by b ? \nOptions: a ) 12800 , b ) 13000 , c ) 11500 , d ) 12500 , e ) 12000", "output": [ "a" ] }, { "id": "task1420-1ae4bc7fae1c40bdaebac4492a8c6221", "input": "Problem: if 2 x + y = 7 and x + 2 y = 5 , then 5 xy / 3 = ? \nOptions: a ) a ) 5 , b ) b ) 2 , c ) c ) 17 / 5 , d ) d ) 18 / 5 , e ) e ) 4", "output": [ "a" ] }, { "id": "task1420-11e7063b929e46ca86678a31f2bbd3ce", "input": "Problem: if x ^ 2 + y ^ 2 = 13 and xy = 3 , then ( x − y ) ^ 2 = \nOptions: a ) 7 , b ) 11 , c ) 14 , d ) 17 , e ) 20", "output": [ "a" ] }, { "id": "task1420-df12c7ee4a1c422eaabf80438789be45", "input": "Problem: set a contains all the even numbers between 32 and 80 inclusive . set b contains all the even numbers between 62 and 110 inclusive . what is the difference between the sum of elements of set b and the sum of the elements of set a ? \nOptions: a ) 450 , b ) 550 , c ) 650 , d ) 750 , e ) 850", "output": [ "d" ] }, { "id": "task1420-e0227e2174ec4bdcbd36e2318bac8736", "input": "Problem: the cost to park a car in a certain parking garage is $ 9.00 for up to 2 hours of parking and $ 1.75 for each hour in excess of 2 hours . what is the average ( arithmetic mean ) cost per hour to park a car in the parking garage for 9 hours ? \nOptions: a ) $ 1.09 , b ) $ 1.67 , c ) $ 2.25 , d ) $ 2.36 , e ) $ 2.50", "output": [ "d" ] }, { "id": "task1420-f15806dcc90f480da9ac689486d07892", "input": "Problem: how many 3 - digit positive integers are there , where each digit is positive , and no 3 adjacent digits are same ? \nOptions: a ) 1236 , b ) 504 , c ) 4096 , d ) 4608 , e ) 6561", "output": [ "b" ] }, { "id": "task1420-83ed21bf717148ecb774ed94cbbce1eb", "input": "Problem: 14 times a number gives 210 . the number is \nOptions: a ) 11 , b ) 12 , c ) 15 , d ) none , e ) can not be determined", "output": [ "c" ] }, { "id": "task1420-db01f95ad6f74a03b99b53c14377b290", "input": "Problem: a certain pair of used shoes can be repaired for $ 11.50 and will last for 1 year . a pair of the same kind of shoes can be purchased new for $ 28.00 and will last for 2 years . the average cost per year of the new shoes is what percent greater than the cost of repairing the used shoes ? \nOptions: a ) 20.8 , b ) 21.46 , c ) 21.74 , d ) 22.3 , e ) 21.4", "output": [ "c" ] }, { "id": "task1420-2a84305785e146548c13f0b843562649", "input": "Problem: what is the greatest 6 - digit number when divided by 6 , 7 , 8 , 9 , and 10 leaves a remainder of 3 , 4 , 5 , 6 and 7 respectively ? \nOptions: a ) 456780 , b ) 678910 , c ) 997479 , d ) 997917 , e ) 997920", "output": [ "d" ] }, { "id": "task1420-b88ffe94b9cc47fab15ac4cba210ba94", "input": "Problem: if x > 0 , x / 50 + x / 5 is what percent of x ? \nOptions: a ) 6 % , b ) 25 % , c ) 37 1 / 2 % , d ) 60 % , e ) 75 %", "output": [ "b" ] }, { "id": "task1420-5724c2a6fbb94335903ad4ddc896ba07", "input": "Problem: solution x is 10 percent alcohol by volume , and solution y is 30 percent alcohol by volume . how many milliliters of solution y must be added to 300 milliliters of solution x to create a solution that is 18 percent alcohol by volume ? \nOptions: a ) 100 , b ) 150 , c ) 200 , d ) 250 , e ) 300", "output": [ "c" ] }, { "id": "task1420-a79b1fee64e542678699935b6ec4c362", "input": "Problem: 417 x 417 + 383 x 383 = ? \nOptions: a ) 320578 , b ) 80578 , c ) 80698 , d ) 81268 , e ) none of them", "output": [ "a" ] }, { "id": "task1420-d2ae7cfcf4314e2d8b01c70d33edf5be", "input": "Problem: what two - digit number is less than the sum of the square of its digits by 12 and exceeds their doubled product by 5 ? \nOptions: a ) 95 , b ) 99 , c ) 26 , d ) 73 , e ) none of the above", "output": [ "b" ] }, { "id": "task1420-82831ddef99748f3a70a968faec5b452", "input": "Problem: | 16 - 5 | - | 5 - 12 | = ? \nOptions: a ) 3 , b ) 2 , c ) 1 , d ) 0 , e ) 4", "output": [ "e" ] }, { "id": "task1420-694d2034029c420da5c51b958739ce8f", "input": "Problem: if the number 517 * 324 is completely divisible by 7 , then the smallest whole number in the place of * will be : \nOptions: a ) 3 , b ) 1 , c ) 2 , d ) 4 , e ) 6", "output": [ "e" ] }, { "id": "task1420-391220fd78e24469afaa7763a9532a00", "input": "Problem: the average of 5 consecutive odd numbers is 55 . what is the difference between the highest and lowest numbers ? \nOptions: a ) 2 , b ) 5 , c ) 8 , d ) 9 , e ) 10", "output": [ "c" ] }, { "id": "task1420-9b17cad98bc54f3fae1e04b8767e6eb3", "input": "Problem: a certain country is divided into 4 provinces . each province consists entirely of progressives and traditionalists . if each province contains the same number of traditionalists and the number of traditionalists in any given province is 1 / 12 the total number of progressives in the entire country , what fraction of the country is traditionalist ? \nOptions: a ) 1 / 5 , b ) 1 / 3 , c ) 1 / 2 , d ) 2 / 3 , e ) 3 / 4", "output": [ "e" ] }, { "id": "task1420-bfec9d39332546419dcc0f957e250e2a", "input": "Problem: if a is a positive integer , and if the units digit of a ^ 2 is 9 and the units digit of ( a + 1 ) ^ 2 is 4 , what is the units digit of ( a + 2 ) ^ 2 ? \nOptions: a ) 1 , b ) 3 , c ) 5 , d ) 6 , e ) 14", "output": [ "a" ] }, { "id": "task1420-cfc9148bd63941d0b2487621fdd2c5ef", "input": "Problem: a student chose a number , multiplied it by 2 , then subtracted 138 from the result and got 102 . what was the number he chose ? \nOptions: a ) 90 , b ) 100 , c ) 120 , d ) 160 , e ) 200", "output": [ "c" ] }, { "id": "task1420-59422904bdee48e495a846a8c12d121c", "input": "Problem: the sum of the squares of the first 15 positive integers ( 1 ^ 2 + 2 ^ 2 + 3 ^ 2 + . . . + 15 ^ 2 ) is equal to 1270 . what is the sum of the squares of the second 15 positive integers ( 16 ^ 2 + 17 ^ 2 + 18 ^ 2 + . . . + 30 ^ 2 ) ? \nOptions: a ) 2480 , b ) 3490 , c ) 6785 , d ) 8245 , e ) 9255", "output": [ "d" ] }, { "id": "task1420-e11f1f599d9d420783f2f7967b7d1ad3", "input": "Problem: dan ' s age after 20 years will be 7 times his age 4 years ago . what is the present age of dan ? \nOptions: a ) 6 , b ) 8 , c ) 10 , d ) 12 , e ) 14", "output": [ "b" ] }, { "id": "task1420-92cd8c1faf6544218d22bca3ae9a341e", "input": "Problem: if 13 = 13 w / ( 1 - w ) , then ( 4 w ) 2 = \nOptions: a ) 1 / 4 , b ) 1 / 2 , c ) 1 , d ) 2 , e ) 4", "output": [ "e" ] }, { "id": "task1420-5624d784fd184ad2900b487cc9c7d904", "input": "Problem: what is the sum of the digits of integer k , if k = ( 10 ^ 30 - 36 ) \nOptions: a ) 251 , b ) 260 , c ) 263 , d ) 269 , e ) 262", "output": [ "e" ] }, { "id": "task1420-1fdb96c55176473a88e75c5af7e4626b", "input": "Problem: a is two years older than b who is twice as old as c . if the total of the ages of a , b and c be 27 , the how old is b \nOptions: a ) 10 , b ) 8 , c ) 6 , d ) 5 , e ) 7", "output": [ "a" ] }, { "id": "task1420-7073d305c87d4b919436095d339f147d", "input": "Problem: a man ’ s current age is ( 2 / 5 ) of the age of his father . after 8 years , he will be ( 1 / 2 ) of the age of his father . what is the age of father at now ? \nOptions: a ) 40 , b ) 45 , c ) 38 , d ) 50 , e ) 39", "output": [ "a" ] }, { "id": "task1420-5aa5f2dfde2b49fcb7635b02f0fd0e13", "input": "Problem: in a certain warehouse , 70 percent of the packages weigh less than 75 pounds , and a total of 48 packages weigh less than 25 pounds . if 80 percent of the packages weigh at least 25 pounds , how many of the packages weigh at least 25 pounds but less than 75 pounds ? \nOptions: a ) 8 , b ) 64 , c ) 120 , d ) 102 , e ) 144", "output": [ "c" ] }, { "id": "task1420-0694c8dcc83d4261aefc95da7d97292a", "input": "Problem: in a fuel station the service costs $ 2.30 per vehicle and every liter of fuel costs $ 0.70 . assuming that you fill up 4 mini - vans and 2 trucks , what will be the total cost , if a mini - van ' s tank is 65 liters and a truck ' s tank is 120 % bigger and they are all empty ? \nOptions: a ) $ 396 , b ) $ 400 , c ) $ 404 , d ) $ 408 , e ) $ 412", "output": [ "a" ] }, { "id": "task1420-4aa8ecab7dfa4ee6863839a64cb3381b", "input": "Problem: if rs . 510 be divided among a , b , c in such a way that a gets 2 / 3 of what b gets and b gets 1 / 4 of what c gets , then their shares are respectively ? \nOptions: a ) rs . 300 , b ) rs . 360 , c ) rs . 389 , d ) rs . 368 , e ) rs . 323", "output": [ "b" ] }, { "id": "task1420-9b0343e55abe41e9a663f51ce7b39776", "input": "Problem: when 100 is divided by positive integer x , the remainder is 4 . what is the remainder when 196 is divided by x ? \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 6 , e ) 8", "output": [ "c" ] }, { "id": "task1420-07460cf3e4364464be006247eb4c6065", "input": "Problem: if n is an integer and 101 n ^ 2 is less than or equal to 8100 , what is the greatest possible value of n ? \nOptions: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11", "output": [ "b" ] }, { "id": "task1420-c3a4feb4ace94b7f9142079a2c99f814", "input": "Problem: on dividing a number by 8 , we get 8 as quotient and 0 as remainder . on dividing the same number by 5 , what will be the remainder ? \nOptions: a ) 10 , b ) 4 , c ) 8 , d ) 6 , e ) 5", "output": [ "b" ] }, { "id": "task1420-8eff79c4247b4a18b48ec5f08a09f26a", "input": "Problem: the average age of a class of 22 students is 21 years . the average increased by 1 when the teacher ' s age also included . what is the age of the teacher ? \nOptions: a ) 44 , b ) 48 , c ) 45 , d ) 43 , e ) 50", "output": [ "a" ] }, { "id": "task1420-9307052272f6470084f0a41f230276d0", "input": "Problem: what are the last two digits of ( 301 * 402 * 502 * 604 * 646 * 547 * 448 * 349 ) ^ 2 \nOptions: a ) 96 , b ) 76 , c ) 56 , d ) 36 , e ) 16", "output": [ "c" ] }, { "id": "task1420-2c256cdcffae4cab8243d3ee630b3076", "input": "Problem: for the past n days , the average ( arithmetic mean ) daily production at a company was 50 units . if today ' s production of 95 units raises the average to 55 units per day , what is the value of n ? \nOptions: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10", "output": [ "c" ] }, { "id": "task1420-c37fee04d7eb42aaa404d78630b14b68", "input": "Problem: if x + y = 4 , x - y = 36 , for integers of x and y , x = ? \nOptions: a ) 20 , b ) 15 , c ) 25 , d ) 13 , e ) 42", "output": [ "a" ] }, { "id": "task1420-bc3a4370839443bca664061502178083", "input": "Problem: what is the average ( arithmetic mean ) of all multiples of 10 from 10 to 200 inclusive ? \nOptions: a ) 190 , b ) 105 , c ) 200 , d ) 205 , e ) 210", "output": [ "b" ] }, { "id": "task1420-597aa9b1e85f47d0a078e1086748d02c", "input": "Problem: a ' s speed is 20 / 13 times that of b . if a and b run a race , what part of the length of the race should a give b as a head start , so that b beats a by 80 % of the length of the race ? \nOptions: a ) 44 % , b ) 48 % , c ) 52 % , d ) 42 % , e ) 87 %", "output": [ "e" ] }, { "id": "task1420-0e62c7980d394a569e6acdfef79b9376", "input": "Problem: 70,76 , 74,85 , 90,105 , 105,130 , 130,130 the list consists of the times in seconds that it took each of the 10 school children to run a distance of 400 mts . if the standard deviation of the 10 running times is 22.4 , rounded to the nearest tenth of a second , how many of the 10 running times are more than 1 standard deviation below the mean of the 10 running times . \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "c" ] }, { "id": "task1420-7b457bfc67ec49f789515d6f7bad0bfe", "input": "Problem: company x sells a selection of products at various price points . listed below are unit sales made for one particular day . how many unit sales on that day were greater than the mean sale price but less than the median sale price ? $ 50 , $ 50 , $ 97 , $ 97 , $ 97 , $ 120 , $ 125 , $ 155 , $ 199 , $ 199 , $ 239 \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4", "output": [ "b" ] }, { "id": "task1420-dc8977aa6de84625a1eb3db7917786cf", "input": "Problem: when greenville state university decided to move its fine arts collection to a new library , it had to package the collection in 20 - inch by 20 - inch by 12 - inch boxes . if the university pays $ 0.50 for every box , and if the university needs 1.92 million cubic inches to package the collection , what is the minimum amount the university must spend on boxes ? \nOptions: a ) $ 150 , b ) $ 200 , c ) $ 320 , d ) $ 650 , e ) $ 810", "output": [ "b" ] }, { "id": "task1420-1304219b0ae74e4ead5e9f287985f927", "input": "Problem: instead of multiplying a number by 2 , the number is divided by 10 . what is the percentage of error obtained ? \nOptions: a ) 94 % , b ) 92 % , c ) 95 % , d ) 93 % , e ) 97 %", "output": [ "c" ] }, { "id": "task1420-ecb828f89602416aa05193aeb5c87d3b", "input": "Problem: if xy > 0 , 1 / x + 1 / y = 4 , and 1 / xy = 6 , then ( x + y ) / 2 = ? \nOptions: a ) 1 / 25 , b ) 1 / 6 , c ) 1 / 5 , d ) 1 / 3 , e ) 6", "output": [ "d" ] }, { "id": "task1420-c38b1815bfa24f908aaf9a5d7a4610fd", "input": "Problem: if a and b are positive integers and ( 3 ^ a ) ^ b = 3 ^ 3 , what is the value of 3 ^ a * 3 ^ b ? \nOptions: a ) 3 , b ) 9 , c ) 81 , d ) 27 , e ) 243", "output": [ "c" ] }, { "id": "task1420-bb86c10189e0485f979e17b60ea439a2", "input": "Problem: how many multiples of 2 are there between 10 and 52 , 10 and 52 inclusive ? \nOptions: a ) 27 , b ) 25 , c ) 24 , d ) 21 , e ) 22", "output": [ "e" ] }, { "id": "task1420-98a1d6fbad84471780604c927aca561a", "input": "Problem: how many integers between 1 and 1400 are divisible by 25 , and 35 ? \nOptions: a ) 4 , b ) 5 , c ) 6 , d ) 7 , e ) 8", "output": [ "e" ] }, { "id": "task1420-e7c4ae23d8c948208da36b4f82c838f5", "input": "Problem: a man purchased 3 blankets @ rs . 100 each , 5 blankets @ rs . 150 each and two blankets at a certain rate which is now slipped off from his memory . but he remembers that the average price of the blankets was rs . 160 . find the unknown rate of two blankets ? \nOptions: a ) 420 , b ) 550 , c ) 490 , d ) 450 , e ) 457", "output": [ "b" ] }, { "id": "task1420-408dbf7730fa4a249b917423069e549b", "input": "Problem: mother , her daughter and her grand child weighs 130 kg . daughter and her daughter ( child ) weighs 60 kg . child is 1 / 5 th of her grand mother . what is the age of the daughter ? \nOptions: a ) 46 , b ) 47 , c ) 48 , d ) 49 , e ) 50", "output": [ "a" ] }, { "id": "task1420-af637975bca048e498e5d598bb7d39fa", "input": "Problem: if a and b are the roots of the equation x 2 - 9 x + 9 = 0 , then the value of a 2 + b 2 is : \nOptions: a ) 63 , b ) 24 , c ) 17 , d ) 6 , e ) 5", "output": [ "a" ] }, { "id": "task1420-651e1345573d47969986e615045597e6", "input": "Problem: a basketball player is shooting hoops . he shoots a free throw , a high school 3 - pointer , and then a professional 3 - pointer . the probability that he makes the free throw is 4 / 5 , the probability that he makes the high school 3 - pointer is 1 / 2 , and the probability that he makes the professional 3 - pointer is 1 / 3 . what is the probability that he makes at least one of the 3 shots ? \nOptions: a ) 14 / 15 , b ) 15 / 16 , c ) 17 / 18 , d ) 9 / 10 , e ) 5 / 6", "output": [ "a" ] }, { "id": "task1420-dac14148d35d46ee8d5fa6722c0cbc35", "input": "Problem: the milk level in a rectangular box measuring 50 feet by 25 feet is to be lowered by 6 inches . how many gallons of milk must be removed ? ( 1 cu ft = 7.5 gallons ) \nOptions: a ) 100 , b ) 250 , c ) 750 , d ) 4687.5 , e ) 5635.5", "output": [ "d" ] }, { "id": "task1420-10d790a363254ac0b8dbd6caf6f72322", "input": "Problem: when 2 / 9 of the votes on a certain resolution have been counted , 3 / 4 of those counted are in favor of the resolution . what fraction x of the remaining votes must be against the resolution so that the total count will result in a vote of 2 to 1 against the resolution ? \nOptions: a ) 11 / 14 , b ) 13 / 18 , c ) 4 / 7 , d ) 3 / 7 , e ) 3 / 14", "output": [ "a" ] }, { "id": "task1420-b6d60e713b2645a382464ad70de54b60", "input": "Problem: if a - b = 3 and a ^ 2 + b ^ 2 = 28 , find the value of ab . \nOptions: a ) 19 , b ) 15 , c ) 10 , d ) 8 , e ) 13", "output": [ "d" ] }, { "id": "task1420-097557196722445a85aebdde78f7e174", "input": "Problem: a cricket player whose bowling average was 21.5 runs per wicket , takes 5 wicket for 52 runs in a match . due to this his average decreases by 0.5 . what will be the number of wickets taken by him till the last match ? \nOptions: a ) 64 , b ) 72 , c ) 111 , d ) 721 , e ) 108", "output": [ "c" ] }, { "id": "task1420-3a2ae11a5ef14276a0bc8c284f533a07", "input": "Problem: how many different positive integers exist between 10 ^ 4 and 10 ^ 5 , the sum of whose digits is equal to 2 ? \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "c" ] }, { "id": "task1420-f1874725d85644ae9aeaa8f8d79bc1b7", "input": "Problem: of all the students in a certain dormitory , 1 / 2 are first - year students and the rest are second - year students . if 4 / 5 of the first - year students have not declared a major and if the fraction of second - year students who have declared a major is 1 / 3 times the fraction of first - year students who have declared a major , what fraction of all the students in the dormitory are second - year students who have not declared a major ? \nOptions: a ) 7 / 15 , b ) 1 / 5 , c ) 4 / 15 , d ) 1 / 3 , e ) 2 / 5", "output": [ "a" ] }, { "id": "task1420-509b2b08448b40c5bb4ad7ef87f20a6a", "input": "Problem: 3 sets of 40 , 50 and 60 students appeared for an examination and the pass percentage was 100 , 90 and 80 respectively . the pass percentage of the whole set is \nOptions: a ) 88.33 , b ) 84.33 , c ) 88.66 , d ) 84.66 , e ) none of these", "output": [ "c" ] }, { "id": "task1420-82a8970cd72b4e068c6d320801d1659e", "input": "Problem: a certain fraction is equivalent to 2 / 5 . if the numerator of the fraction is increased by 4 and the denominator is doubled , the new fraction is equivalent to 1 / 4 . what is the sum of the numerator and denominator of the original fraction ? \nOptions: a ) 49 , b ) 35 , c ) 56 , d ) 26 , e ) 21", "output": [ "c" ] }, { "id": "task1420-ef647fa451e84a4f8311d6794204bc98", "input": "Problem: what is the remainder when 3 ^ 33 is divided by 5 ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4", "output": [ "d" ] }, { "id": "task1420-67501fb0b3c94975acbc2c852ab55dc0", "input": "Problem: 1 ÷ [ 1 + 1 ÷ { 1 + 1 ÷ ( 1 ÷ 1 ) } ] = ? \nOptions: a ) 5 / 3 , b ) 4 / 3 , c ) 2 / 3 , d ) 1 / 3 , e ) 1 / 5", "output": [ "c" ] }, { "id": "task1420-81cfd526c16d457eab4362fca305ea47", "input": "Problem: one - third of rahul ' s savings in national savings certificate is equal to one - half of his savings in public provident fund . if he has rs . 1 , 00,000 as total savings , how much has he saved in public provident fund ? \nOptions: a ) 80000 , b ) 40000 , c ) 50000 , d ) 75000 , e ) 90000", "output": [ "b" ] }, { "id": "task1420-600ade35177641b1a83b1b6e13829a54", "input": "Problem: when a student joe , weighing 40 kg , joins a group of students whose average weight is 30 kg , the average weight goes up by 1 kg . subsequently , if two students , excluding joe , leave the group the average weight comes back to 30 kg . what is the difference between the average weight of the two students who left and the weight of joe ? \nOptions: a ) 5 kg , b ) 11 kg , c ) 30 kg , d ) 36.5 kg , e ) 71 kg", "output": [ "a" ] }, { "id": "task1420-be49f641a74c4ba986327382a6444684", "input": "Problem: find out the c . i on rs . 5000 at 4 % p . a . compound half - yearly for 1 1 / 2 year ? \nOptions: a ) 306.06 , b ) 306.02 , c ) 306.04 , d ) 306.09 , e ) 306.12", "output": [ "c" ] }, { "id": "task1420-3ae042d423fd4e4baf0cea55daf8e7ef", "input": "Problem: find the total number of prime factors in the expression ( 4 ) ^ 11 x ( 7 ) ^ 5 x ( 11 ) ^ 5 \nOptions: a ) 26 , b ) 32 , c ) 25 , d ) 27 , e ) 29", "output": [ "b" ] }, { "id": "task1420-4d7496891d97420db0b8030e6ad0a959", "input": "Problem: a man distributed rs . 100 equally among his friends . if there had been 5 more friends , each would have received one rupee less . how many friends had he ? \nOptions: a ) 20 , b ) 25 , c ) 30 , d ) 35 , e ) 40", "output": [ "b" ] }, { "id": "task1420-62d35fde573f4d008f68be24baa5b138", "input": "Problem: when greenville state university decided to move its fine arts collection to a new library , it had to package the collection in 20 - inch by 20 - inch by 12 - inch boxes . if the university pays $ 0.50 for every box , and if the university needs 2.16 million cubic inches to package the collection , what is the minimum amount the university must spend on boxes ? \nOptions: a ) $ 155 , b ) $ 225 , c ) $ 510 , d ) $ 850 , e ) $ 1250", "output": [ "b" ] }, { "id": "task1420-632220a4547b4d75a994fcdda351885d", "input": "Problem: 15 years hence , rohan will be just 4 times as old as he was 15 years ago . how old is rohan at present ? \nOptions: a ) 20 , b ) 25 , c ) 30 , d ) 35 , e ) 40", "output": [ "b" ] }, { "id": "task1420-c106f24f3c554effb48106f7d27c1f89", "input": "Problem: in a division , a student took 48 as divisor instead of 36 . his answer was 24 . the correct answer is - \nOptions: a ) 42 , b ) 32 , c ) 48 , d ) 28 , e ) 38", "output": [ "b" ] }, { "id": "task1420-3ea442bec179422090821d96548fb35e", "input": "Problem: you have been given a physical balance and 7 weights of 52 , 50 , 48 , 44 , 45 , 46 and 78 kgs . keeping weights on one pan and object on the other , what is the maximum you can weigh less than 183 kgs . \nOptions: a ) 180 , b ) 181 , c ) 182 , d ) 178 , e ) 168", "output": [ "a" ] }, { "id": "task1420-13da0eba03f24da5b3565845fe6482b7", "input": "Problem: the sum of all possible two digit numbers formed from 3 different one digit natural numbers when divided by the sum of the original 3 numbers is equal to ? \nOptions: a ) 14 , b ) 16 , c ) 18 , d ) 20 , e ) 22", "output": [ "e" ] }, { "id": "task1420-2849d826a4394743bec19422cb612a76", "input": "Problem: find the smallest positive integer n such that 11 n - 1 is divisible by 105 . \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "d" ] }, { "id": "task1420-751987e4b46f47258ce29eee4d86092d", "input": "Problem: on the independence day , bananas were be equally distributed among the children in a school so that each child would get two bananas . on the particular day 390 children were absent and as a result each child got two extra bananas . find the actual number of children in the school ? \nOptions: a ) 237 , b ) 780 , c ) 197 , d ) 287 , e ) 720", "output": [ "b" ] }, { "id": "task1420-2449245adf1f4b93bb19c33ef2253d36", "input": "Problem: ( 128.5 x 4 ) + ( 13.8 x 5 ) = ? x 10 \nOptions: a ) 524.48 , b ) 556.02 , c ) 58.3 , d ) 585.64 , e ) 595.46", "output": [ "c" ] }, { "id": "task1420-34192bb16eb149a283aecc34ace19ea6", "input": "Problem: if x + y = 24 , x - y = 40 , for integers of x and y , x = ? \nOptions: a ) 20 , b ) 23 , c ) 25 , d ) 32 , e ) 42", "output": [ "d" ] }, { "id": "task1420-f66169c916b34d17be8e2e9048d73d2d", "input": "Problem: if 222 = 6 333 = 12 444 = 20 then , 555 = ? ? \nOptions: a ) 30 , b ) 35 , c ) 40 , d ) 45 , e ) 50", "output": [ "a" ] }, { "id": "task1420-2dd7ad60afe649a287df8577ffbdbb0e", "input": "Problem: there are 4 more women than there are men on a local co - ed softball team . if there are a total of 18 players on the team , what is the ratio of men to women ? \nOptions: a ) 10 / 16 , b ) 6 / 16 , c ) 7 / 11 , d ) 6 / 10 , e ) 4 / 10", "output": [ "c" ] }, { "id": "task1420-e94762160c964b1eb9c592a0550edb0b", "input": "Problem: find the principle on a certain sum of money at 5 % per annum for 3 1 / 5 years if the amount being rs . 1160 ? \nOptions: a ) rs . 1000 , b ) rs . 1100 , c ) rs . 1010 , d ) rs . 10000 , e ) none of these", "output": [ "a" ] }, { "id": "task1420-a460485621ed40c8afff0fbbfb6218d8", "input": "Problem: zinc and copper are melted together in the ratio 9 : 11 . what is the weight of melted mixture , if 27 kg of zinc has been consumed in it ? \nOptions: a ) 58 kg , b ) 60 kg , c ) 64 kg , d ) 70 kg , e ) none", "output": [ "b" ] }, { "id": "task1420-54f3b1582c524aff87e5721eca2e3b95", "input": "Problem: a school has received 60 % of the amount it needs for a new building by receiving a donation of $ 500 each from people already solicited . people already solicited represent 50 % of the people from whom the school will solicit donations . how much average contribution is requited from the remaining targeted people to complete the fund raising exercise ? \nOptions: a ) $ 200 , b ) $ 333.33 , c ) $ 100.25 , d ) $ 277.78 , e ) $ 377.00", "output": [ "b" ] }, { "id": "task1420-8701cff5ce75436db60bb82c11808866", "input": "Problem: how many multiples of 3 are there between 81 and 358 ? \nOptions: a ) 94 , b ) 95 , c ) 93 , d ) 97 , e ) 98", "output": [ "c" ] }, { "id": "task1420-a6181f79eb5a4861819817dcac04b8e6", "input": "Problem: if n is an integer and 101 n ^ 2 is less than or equal to 10000 , what is the greatest possible value of n ? \nOptions: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11", "output": [ "c" ] }, { "id": "task1420-17c90d765ed9404f90ca590616e4423a", "input": "Problem: if a : b : : 3 : 4 , then what is ( 5 a + 6 b ) : ( a - 2 b ) ? \nOptions: a ) 57 : 11 , b ) - 57 : 11 , c ) 11 : 10 , d ) - 39 : 5 , e ) - 1 : 10", "output": [ "d" ] }, { "id": "task1420-8c7723d9675b4854a4d498185dd7f6f8", "input": "Problem: six persons standing in queue with different age group , after two years their average age will be 43 and seventh person joined with them . hence the current average age has become 45 . find the age of the 7 th person . \nOptions: a ) 69 , b ) 70 , c ) 71 , d ) 72 , e ) 73", "output": [ "a" ] }, { "id": "task1420-43d8964de6724c42b1e6bd10f5b613d0", "input": "Problem: two brothers took the gmat exam , the higher score is u and the lower one is v . if the difference between the two scores is equal to their average , what is the value of v / u ? \nOptions: a ) 3 , b ) 2 , c ) 1 / 2 , d ) 1 / 3 , e ) there is n ' t enough data to answer the question .", "output": [ "d" ] }, { "id": "task1420-8113c32da471415985ec39b7c5ecdf80", "input": "Problem: there are 8 players in a chess group , and each player plays each of the others once . given that each game is played by two players , how many total games will be played ? \nOptions: a ) 10 , b ) 30 , c ) 28 , d ) 60 , e ) 90", "output": [ "c" ] }, { "id": "task1420-969c01b40aca4a45bf56b0bf485d760b", "input": "Problem: a cyclist rides a bicycle 7 km at an average speed of 10 km / hr and again travels 10 km at an average speed of 7 km / hr . what is the average speed for the entire trip ? \nOptions: a ) 7.59 , b ) 7.79 , c ) 7.99 , d ) 8.19 , e ) 8.39", "output": [ "c" ] }, { "id": "task1420-6ed8ebc82b0d473d83873991798a7826", "input": "Problem: when 242 is divided by a certain divisor the remainder obtained is 8 . when 698 is divided by the same divisor the remainder obtained is 9 . when the sum of the two numbers 242 and 698 is divided by the divisor , the remainder obtained is 4 . what is the value of the divisor ? \nOptions: a ) 11 , b ) 17 , c ) 13 , d ) 23 , e ) none of these", "output": [ "c" ] }, { "id": "task1420-11db153c434f456eaaf5b3e1224d743e", "input": "Problem: a certain box has 8 cards and each card has one of the integers from 1 to 8 inclusive . each card has a different number . if 2 different cards are selected at random , what is the probability that the sum of the numbers written on the 2 cards is less than the average ( arithmetic mean ) of all the numbers written on the 8 cards ? \nOptions: a ) 1 / 8 , b ) 1 / 12 , c ) 1 / 14 , d ) 1 / 18 , e ) 1 / 28", "output": [ "c" ] }, { "id": "task1420-fdde142098bb4a5aafe7b8529c0a3235", "input": "Problem: what is the 29 th digit to the right of the decimal point in the decimal form of 4 / 11 ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "c" ] }, { "id": "task1420-e2c9ffef238d4cd48bb4b26769559b37", "input": "Problem: a gambler bought $ 5,000 worth of chips at a casino in denominations of $ 20 and $ 100 . that evening , the gambler lost 16 chips , and then cashed in the remainder . if the number of $ 20 chips lost was 2 more or 2 less than the number of $ 100 chips lost , what is the largest amount of money that the gambler could have received back ? \nOptions: a ) $ 4,040 , b ) $ 4,120 , c ) $ 1,960 , d ) $ 4,920 , e ) $ 1,400", "output": [ "b" ] }, { "id": "task1420-b86644092b9546dd9568169bb838a72d", "input": "Problem: in the number 11,0 ab , a and b represent the tens and units digits , respectively . if 11,0 ab is divisible by 45 , what is the greatest possible value of b × a ? \nOptions: a ) 0 , b ) 5 , c ) 10 , d ) 15 , e ) 25", "output": [ "d" ] }, { "id": "task1420-e6b883a0b5a14bd9a53be4fa87afd85b", "input": "Problem: if x is the product of the positive integers from 1 to 8 , inclusive , and if i , k , m , and p are positive integers such that x = 2 ^ i ∗ 3 ^ k ∗ 5 ^ m ∗ 7 ^ p , then i + k + m + p = \nOptions: a ) 4 , b ) 7 , c ) 8 , d ) 11 , e ) 12", "output": [ "d" ] }, { "id": "task1420-8f7833d81ed9411e9146869f7007582c", "input": "Problem: in the biology lab of ` ` jefferson ' ' high school there are 0.036 * 10 ^ 5 germs , equally divided among 45000 * 10 ^ ( - 3 ) petri dishes . how many germs live happily in a single dish ? \nOptions: a ) 10 , b ) 20 , c ) 30 , d ) 60 , e ) 80", "output": [ "e" ] }, { "id": "task1420-63258dc2580348eca0353276ace69d4f", "input": "Problem: a certain company had a total annual expenditure of 2.55 ∗ 10 ^ 7 on employee salaries last year . if the company employed 425 people , what was the average employee salary ? \nOptions: a ) $ 60,000 , b ) $ 25,000 , c ) $ 35,000 , d ) $ 40,000 , e ) $ 45,000", "output": [ "a" ] }, { "id": "task1420-e9800edbc0bf42a0bbee777531e179f3", "input": "Problem: tom reads at an average rate of 30 pages per hour , while jan reads at an average rate of 41 pages per hour . if tom starts reading a novel at 3 : 20 , and jan begins reading an identical copy of the same book at 4 : 26 , at what time will they be reading the same page ? \nOptions: a ) 6 : 26 , b ) 6 : 56 , c ) 7 : 26 , d ) 7 : 56 , e ) 8 : 26", "output": [ "c" ] }, { "id": "task1420-3b09c1538dde45ffb190edd676beb480", "input": "Problem: louie takes out a 3 - month loan of $ 1000 . the lender charges him 10 % interest per month compounded monthly . the terms of the loan state that louie must repay the loan in 3 equal monthly payments . to the nearest dollar , how much does louis have to pay each month ? \nOptions: a ) 333 , b ) 383 , c ) 402 , d ) 433 , e ) 483", "output": [ "c" ] }, { "id": "task1420-1a5632c298324c15b1376d7d75adec53", "input": "Problem: find the value of ( √ 1.21 ) / ( √ 0.81 ) + ( √ 1.44 ) / ( √ 0.49 ) is \nOptions: a ) 195 / 63 , b ) 145 / 63 , c ) 155 / 63 , d ) 125 / 63 , e ) 185 / 63", "output": [ "e" ] }, { "id": "task1420-4e9dd949e50d4944a5ef379a3314f33b", "input": "Problem: a student was asked to find 4 / 5 of a number . but the student divided the number by 4 / 5 , thus the student got 36 more than the correct answer . find the number . \nOptions: a ) 60 , b ) 70 , c ) 80 , d ) 90 , e ) 100", "output": [ "c" ] }, { "id": "task1420-e9bda7c118274e14bdc4445c2fc3e331", "input": "Problem: the area of one square is x ^ 2 + 8 x + 16 and the area of another square is 4 x ^ 2 − 20 x + 25 . if the sum of the perimeters of both squares is 44 , what is the value of x ? \nOptions: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 10", "output": [ "b" ] }, { "id": "task1420-0cfa4fa8404c46529f9cfb6e8dc2a0a0", "input": "Problem: a sum of rs . 1360 has been divided among a , b and c such that a gets 2 / 3 of what b gets and b gets 1 / 4 of what c gets . b ' s share is : \nOptions: a ) rs . 120 , b ) rs . 160 , c ) rs . 240 , d ) rs . 300 , e ) rs . 500", "output": [ "c" ] }, { "id": "task1420-58cc95687f024e19a1d63c7637c7ebc5", "input": "Problem: a container has 40 l milk . 4 l milk is taken out and replaced with water , the process done 3 times . what is the amount of milk now left ? \nOptions: a ) 29.16 l , b ) 29.19 l , c ) 29.12 l , d ) 29.11 l , e ) 29.14 l", "output": [ "a" ] }, { "id": "task1420-14ad2ead53774e519c737f969d2c2159", "input": "Problem: q and r are two - digit positive integers that have the same digits but in reverse order . if the positive difference between q and r is less than 30 , what is the greatest possible value of q minus r ? \nOptions: a ) 23 , b ) 24 , c ) 25 , d ) 26 , e ) 27", "output": [ "e" ] }, { "id": "task1420-8d3e3c6376044d1fbc9616c3ddf50053", "input": "Problem: find the value of 72518 x 9999 = m ? \nOptions: a ) 456578972 , b ) 436567874 , c ) 653658791 , d ) 725117481 , e ) 725107482", "output": [ "e" ] }, { "id": "task1420-2da794abc52c40e39c728fd0d86dbcf5", "input": "Problem: of the goose eggs laid at a certain pond , 2 / 3 hatched and 3 / 4 of the geese that hatched from those eggs survived the first month . of the geese that survived the first month , 3 / 5 did not survive the first year . if 130 geese survived the first year and if no more than one goose hatched from each egg , how many goose eggs were laid at the pond ? \nOptions: a ) 280 , b ) 400 , c ) 540 , d ) 650 , e ) 840", "output": [ "d" ] }, { "id": "task1420-7233aa68f53448d58b6e6f0be6d3517e", "input": "Problem: the average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg . what might be the weight of the new person ? \nOptions: a ) 76 kg , b ) 76.5 kg , c ) 85 kg , d ) 90 kg , e ) none", "output": [ "c" ] }, { "id": "task1420-b2d506143f1449c795f427b8efeb5ca7", "input": "Problem: there are 4 people of different heights standing in order of increasing height . the difference is 2 inches between the first person and the second person , and also between the second person and the third person . the difference between the third person and the fourth person is 6 inches and the average height is 77 . how tall is the fourth person ? \nOptions: a ) 79 , b ) 81 , c ) 83 , d ) 85 , e ) 87", "output": [ "c" ] }, { "id": "task1420-b31079a86bb540218d67838a2a92eaf1", "input": "Problem: company c sells a line of 20 products with an average retail price of $ 1200 . if none of these products sells for less than $ 400 , and exactly 10 of the products sell for less than $ 1000 , what is the greatest possible selling price of the most expensive product ? \nOptions: a ) 12000 , b ) 11000 , c ) 10000 , d ) 13000 , e ) 15000", "output": [ "b" ] }, { "id": "task1420-fa1168528d8040279130c8e5c8e3cd0e", "input": "Problem: what is the units digit of 33 ^ 2 * 17 ^ 3 * 39 ^ 2 ? \nOptions: a ) 1 , b ) 3 , c ) 5 , d ) 7 , e ) 9", "output": [ "d" ] }, { "id": "task1420-b8c1c40a058045c391af823f8d5778ee", "input": "Problem: in digging a pond 20 m * 12 m * 5 m the volumes of the soil extracted will be ? \nOptions: a ) 3387 , b ) 1000 , c ) 1200 , d ) 2787 , e ) 1121", "output": [ "c" ] }, { "id": "task1420-63376186dc464f999393b0e212c28612", "input": "Problem: john found that the average of 15 no . ' s is 40 . if 10 is added to each number then the mean of number is ? \nOptions: a ) 50 , b ) 55 , c ) 65 , d ) 72 , e ) 78", "output": [ "a" ] }, { "id": "task1420-d1cde41b678c4a2b9003a714a3d2a753", "input": "Problem: an object thrown directly upward is at a height of h feet after t seconds , where h = - 12 ( t - 3 ) ^ 2 + 120 . at what height , in feet , is the object 2 seconds after it reaches its maximum height ? \nOptions: a ) 48 , b ) 54 , c ) 60 , d ) 66 , e ) 72", "output": [ "e" ] }, { "id": "task1420-372ec87280754a9d882d40858d853223", "input": "Problem: in a fuel station the service costs $ 2.10 per vehicle and every liter of fuel costs $ 0.60 . assuming that you fill up 3 mini - vans and 2 trucks , what will be the total cost , if a mini - van ' s tank is 65 liters and a truck ' s tank is 120 % bigger and they are all empty ? \nOptions: a ) $ 287.50 , b ) $ 290.40 , c ) $ 293.30 , d ) $ 296.20 , e ) $ 299.10", "output": [ "e" ] }, { "id": "task1420-7c1f51d239e8434f92204bb8e573ebfd", "input": "Problem: a camera lens filter kit containing 5 filters sells for $ 87.50 . if the filters are purchased individually , 2 of them are priced at $ 16.45 each , 2 at $ 14.05 each , 1 at $ 19.50 . the amount saved by purchasing the kit is what percent of the total price of the 5 filters purchased individually ? \nOptions: a ) 7 % , b ) 8 % , c ) 9 % , d ) 10 % , e ) 11 %", "output": [ "b" ] }, { "id": "task1420-2051c982223d49908feaad617d091749", "input": "Problem: an employee ’ s annual salary was increased 50 % . if her old annual salary equals $ 80,000 , what was the new salary ? \nOptions: a ) $ 128,000 , b ) $ 120,000 , c ) $ 110,000 , d ) $ 139,000 , e ) $ 125,000", "output": [ "b" ] }, { "id": "task1420-41285275975d4ee3afca992c00898b54", "input": "Problem: find the average of all the numbers between 6 and 34 which is divisible by 5 \nOptions: a ) 15 , b ) 18 , c ) 13 , d ) 19 , e ) 20", "output": [ "e" ] }, { "id": "task1420-53c69d13d2334a909e1fbf9f481481b7", "input": "Problem: a positive number x is multiplied by 5 , and this product is then divided by 3 . if the positive square root of the result of these two operations equals x , what is the value of x ? \nOptions: a ) 9 / 4 , b ) 3 / 2 , c ) 4 / 3 , d ) 5 / 3 , e ) 1 / 2", "output": [ "d" ] }, { "id": "task1420-828638b088224392a758f386705bec8c", "input": "Problem: there were totally 100 men . 83 are married . 75 have t . v , 85 have radio , 70 have a . c . how many men have t . v , radio , a . c and also married ? \nOptions: a ) 11 , b ) 12 , c ) 13 , d ) 14 , e ) 15", "output": [ "c" ] }, { "id": "task1420-cfa277d8a04b4d76979f6b38e68539d5", "input": "Problem: on dividing 16698 by a certain number , we get 89 as quotient and 14 as remainder . what is the divisor ? \nOptions: a ) 743 , b ) 154 , c ) 187 , d ) 741 , e ) 785", "output": [ "c" ] }, { "id": "task1420-eec5ad4fac314e1f9e75d2e2c842fab5", "input": "Problem: in an examination , a pupil ’ s average marks were 63 per paper . if he had obtained 20 more marks for his geography paper and 2 more marks for his history paper , his average per paper would have been 65 . how many papers were there in the examination ? \nOptions: a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 12", "output": [ "d" ] }, { "id": "task1420-b485d308fc934eb18f9a53d37c6ca667", "input": "Problem: a “ palindromic integer ” is an integer that remains the same when its digits are reversed . so , for example , 43334 and 516615 are both examples of palindromic integers . how many 6 - digit palindromic integers are both even and greater than 400,000 ? \nOptions: a ) 200 , b ) 216 , c ) 300 , d ) 400 , e ) 2,500", "output": [ "c" ] }, { "id": "task1420-37a08ef5765644059128bc68f739bda0", "input": "Problem: the largest 3 digit number exactly divisible by 88 is ? \nOptions: a ) a ) 9944 , b ) b ) 9954 , c ) c ) 9967 , d ) d ) 9969 , e ) e ) 9970", "output": [ "a" ] }, { "id": "task1420-6298a576d92b4b7c97a82eee24fc8923", "input": "Problem: the prices of tea and coffee per kg were the same in june . in july the price of coffee shot up by 20 % and that of tea dropped by 20 % . if in july , a mixture containing equal quantities of tea and coffee costs 60 / kg . how much did a kg of coffee cost in june ? \nOptions: a ) 40 , b ) 45 , c ) 50 , d ) 55 , e ) 60", "output": [ "e" ] }, { "id": "task1420-5effa7a6a9e541998ba9ee59f7d5b5ca", "input": "Problem: the output of a factory is increased by 10 % to keep up with rising demand . to handle the holiday rush , this new output is increased by 10 % . by approximately what percent would the output of the factory now have to be decreased in order to restore the original output ? \nOptions: a ) 17 % , b ) 24 % , c ) 30 % , d ) 32 % , e ) 79 %", "output": [ "a" ] }, { "id": "task1420-a6caaae76c114efd8b5d8367150942e5", "input": "Problem: a sun is divided among x , y and z in such a way that for each rupee x gets , y gets 45 paisa and z gets 30 paisa . if the share of y is rs . 45 , what is the total amount ? \nOptions: a ) 166 , b ) 105 , c ) 175 , d ) 177 , e ) 169", "output": [ "c" ] }, { "id": "task1420-9d9c59b07f554c83946fa6cb05d8689f", "input": "Problem: what is the units digit of 2222 ^ ( 333 ) * 3333 ^ ( 222 ) ? \nOptions: a ) 0 , b ) 2 , c ) 4 , d ) 6 , e ) 8", "output": [ "e" ] }, { "id": "task1420-5afb503a3b614c7cbf555edb51c28efa", "input": "Problem: the product of two numbers is 4107 . if the h . c . f . of these numbers is 37 , then the greater number is : explanation : \nOptions: a ) 101 , b ) 107 , c ) 111 , d ) 117 , e ) 121", "output": [ "c" ] }, { "id": "task1420-54e996cf66964e4f98aa10b55a7fcf69", "input": "Problem: a bucket full of nuts was discovered by the crow living in the basement . the crow eats a sixth of the total number of nuts in 4 hours . how many hours i total will it take the crow to finish a quarter of the nuts ? \nOptions: a ) 6 , b ) 8 , c ) 10 , d ) 12 , e ) 14", "output": [ "a" ] }, { "id": "task1420-156e553dcd0f4e66bcc1ff09e0d28750", "input": "Problem: a batsman scored 80 runs which included 2 boundaries and 2 sixes . what percent of his total score did he make by running between the wickets ? \nOptions: a ) 45 % , b ) 500 / 11 , c ) 75 % , d ) 55 % , e ) 35 %", "output": [ "c" ] }, { "id": "task1420-b4b3ca0bd0fd4e969566f202ffcce8a7", "input": "Problem: if x , y , and z are positive integers , and 3 x = 5 y = 6 z , then the least possible value of x + y + z is \nOptions: a ) 21 , b ) 28 , c ) 37 , d ) 42 , e ) 60", "output": [ "a" ] }, { "id": "task1420-b6175a0f9fcb482686b9df1280d0893a", "input": "Problem: the total age of a and b is 10 years more than the total age of b and c . c is how many year younger than \nOptions: a ) 14 years , b ) 12 years , c ) 56 years , d ) 10 years , e ) 55 years", "output": [ "d" ] }, { "id": "task1420-60dd090ec2854f94b9c091dddb2c42c5", "input": "Problem: when a number is divided by 6 & then multiply by 12 the answer is 15 what is the no . ? \nOptions: a ) 4.5 , b ) 5 , c ) 5.6 , d ) 7.5 , e ) 6.5", "output": [ "d" ] }, { "id": "task1420-597b0115752a49ff9a4f6d85c09768a6", "input": "Problem: 10 play kabadi , 15 play kho kho only , 5 play both gmaes . then how many in total ? \nOptions: a ) 25 , b ) 35 , c ) 38 , d ) 40 , e ) 45", "output": [ "a" ] }, { "id": "task1420-df9cd7b1fd58410e9fee99e5200e11d0", "input": "Problem: how many kg of pure salt must be added to 100 kg of 10 % solution of salt and water to increase it to a 20 % solution ? \nOptions: a ) 6.7 , b ) 1.3 , c ) 9.6 , d ) 12.5 , e ) 7.9", "output": [ "d" ] }, { "id": "task1420-2d5514f45b364a5690c800be8124a42e", "input": "Problem: in arun ' s opinion , his weight is greater than 61 kg but leas than 72 kg . his brother does not agree with arun and he thinks that arun ' s weight is greater than 60 kg but less than 70 kg . his mother ' s view is that his weight can not be greater than 64 kg . if all of them are correct in their estimation , what is the average of diferent probable weights of arun ? \nOptions: a ) 86.5 kg , b ) 62.5 kg , c ) 46.5 kg , d ) 26.5 kg , e ) 16.5 kg", "output": [ "b" ] }, { "id": "task1420-a04fba33f4684502b427ae695ec7099a", "input": "Problem: the average salary of workers in an industry is rs . 300 the average salary of technicians being rs . 400 and that of non - technicians being rs . 125 . what is the total number of workers ? \nOptions: a ) 230 , b ) 234 , c ) 250 , d ) 547 , e ) 484", "output": [ "b" ] }, { "id": "task1420-089d0d36743044009cd9f30c2c644521", "input": "Problem: if 0.75 : x : : 5 : 7 , then x is equal to : \nOptions: a ) 1.05 , b ) 1.16 , c ) 1.2 , d ) 1.3 , e ) none of these", "output": [ "a" ] }, { "id": "task1420-49b1bbf9c6a54214b723b7de752960a4", "input": "Problem: a tank holds x gallons of a saltwater solution that is 20 % salt by volume . one fourth of the water is evaporated , leaving all of the salt . when 6 gallons of water and 12 gallons of salt are added , the resulting mixture is 33 1 / 3 % salt by volume . what is the value of x ? \nOptions: a ) 37.5 , b ) 75 , c ) 100 , d ) 150 , e ) 90", "output": [ "e" ] }, { "id": "task1420-cff1a9e5147d4187a54dbdadb74aaa32", "input": "Problem: if 16 ^ y = 4 ^ 14 , what is y ? \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 6 , e ) 7", "output": [ "e" ] }, { "id": "task1420-4b6160aa88cc4d229c57bceb29b96dca", "input": "Problem: ( 128.5 x 32 ) + ( 13.8 x 30 ) = ? x 25 \nOptions: a ) 524.48 , b ) 556.02 , c ) 574.36 , d ) 181.04 , e ) 595.46", "output": [ "d" ] }, { "id": "task1420-7ed365cf0de1465585852b88dd4be806", "input": "Problem: a special municipal payroll tax charges not tax on a payroll less than $ 200000 and only 0.2 % on a company ’ s payroll above $ 200000 . if belfried industries paid $ 200 in this special municipal payroll tax , then they must have had a payroll of ? \nOptions: a ) $ 180,000 , b ) $ 202,000 , c ) $ 220,000 , d ) $ 300,000 , e ) $ 2 , 200,000", "output": [ "d" ] }, { "id": "task1420-237c101bfef141d0b9e1d5be3af53c81", "input": "Problem: the second of two numbers is two less than 3 times the first . find the numbers if there sum is 82 . \nOptions: a ) 7 - 19 , b ) 8 - 20 , c ) 10 - 16 , d ) 15 - 9 , e ) 21 - 61", "output": [ "e" ] }, { "id": "task1420-0ddbdee82f93411babab6901688461ae", "input": "Problem: find the average of all the numbers between 6 and 34 which are divisible by 6 . \nOptions: a ) 18 , b ) 20 , c ) 24 , d ) 30 , e ) 21", "output": [ "e" ] }, { "id": "task1420-181f5d09542c417c86a29275d10533a0", "input": "Problem: marginal cost is the cost of increasing the quantity produced ( or purchased ) by one unit . if the fixed cost for n products is $ 12000 and the marginal cost is $ 200 , and the total cost is $ 16000 , what is the value of n ? \nOptions: a ) 20 , b ) 50 , c ) 60 , d ) 80 , e ) 100", "output": [ "a" ] }, { "id": "task1420-26ecd6e504df4249b7f876e8b8544f76", "input": "Problem: find the greatest number which on dividing 4351 and 5161 , leaves a reminder of 8 and 10 respectively \nOptions: a ) 125 , b ) 111 , c ) 129 , d ) 101 , e ) 141", "output": [ "d" ] }, { "id": "task1420-ffd8a91fd8064ab49075b480ad2fb84b", "input": "Problem: what is the smallest integer n for which 25 ^ n > 5 ^ 12 ? \nOptions: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10", "output": [ "b" ] }, { "id": "task1420-75c1fb14a77440ac8e2fe1ef8e624e78", "input": "Problem: when 52416 is divided by 312 , the quotient is 168 . what will be the quotient when 52.416 is divided by 0.68 ? \nOptions: a ) 5 , b ) 6 , c ) 4 , d ) 3 , e ) 8", "output": [ "d" ] }, { "id": "task1420-de1e56a4dbf64f37ba059fe7b0577744", "input": "Problem: if x dollars is invested at 9 percent for one year and y dollars is invested at 8 percent for one year , the annual income from the 9 percent investment will exceed the annual income from the 8 percent investment by $ 48 . if $ 2,000 is the total amount invested , how much is invested at 9 percent ? \nOptions: a ) 300 , b ) 250 , c ) 1223.53 , d ) 1133.24 , e ) 776.47", "output": [ "c" ] }, { "id": "task1420-a65d1e5411d0475c937705a18399594d", "input": "Problem: rahul played weel in this season . his current batting averagge is 51 . if he score 78 runs in today match . his batting average will become 54 . how many matches had he played in this season . \nOptions: a ) 8 , b ) 10 , c ) 9 , d ) 6 , e ) 5", "output": [ "a" ] }, { "id": "task1420-ea238d88518d41b6bba24191385a052d", "input": "Problem: 54671 - 14456 - 33490 = ? \nOptions: a ) 2449 , b ) 5449 , c ) 6749 , d ) 6725 , e ) 6468", "output": [ "d" ] }, { "id": "task1420-d99377701f494ad0ba4d1231c110ce8f", "input": "Problem: a computer manufacturer produces a certain electronic component at a cost of $ 80 per component . shipping costs for delivering the components are $ 2 per unit . further , the manufacturer has costs of $ 16,200 a month related to the electronic component regardless of how many it produces . if the manufacturer produces and sells 150 components a month , what is the lowest price it can sell them for such that the costs do n ' t exceed the revenues ? \nOptions: a ) $ 28 , b ) $ 82 , c ) $ 110 , d ) $ 190 , e ) $ 192", "output": [ "d" ] }, { "id": "task1420-5052463b00c34498b7df0364e84aeb6c", "input": "Problem: how many quarters are equal to 6 dollars ? \nOptions: a ) 1 , b ) 8 , c ) 12 , d ) 9 , e ) 24", "output": [ "e" ] }, { "id": "task1420-f09a9b33d9a94b24b031a43941111f1a", "input": "Problem: evaluate : 30 - 12 * 3 * 2 = ? \nOptions: a ) 62 , b ) 52 , c ) 32 , d ) 12 , e ) 22", "output": [ "e" ] }, { "id": "task1420-50d9bdc38bf74b40838ca826a445b280", "input": "Problem: if taxi fares were $ 1.00 for the first 1 / 5 mile and $ 0.30 for each 1 / 5 mile there after , then the taxi fare for a 3 - mile ride was \nOptions: a ) $ 1.56 , b ) $ 2.40 , c ) $ 3.80 , d ) $ 5.20 , e ) $ 2.80", "output": [ "d" ] }, { "id": "task1420-0cb59835caed40c2a0e14d95a4f995dc", "input": "Problem: little john had $ 8.50 . he spent $ 1.25 on sweets and gave to his two friends $ 1.20 and $ 2.20 . how much money was left ? \nOptions: a ) $ 5.85 , b ) $ 6.85 , c ) $ 3.85 , d ) $ 2.85 , e ) $ 4.85", "output": [ "c" ] }, { "id": "task1420-85188e293b2644f984bcb2621251d4cf", "input": "Problem: a grocer has a sale of rs . 5266 , rs . 5744 , rs . 5864 , rs . 6122 and rs . 6588 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 5750 ? \nOptions: a ) 4016 , b ) 4076 , c ) 4816 , d ) 4916 , e ) 5916", "output": [ "d" ] }, { "id": "task1420-c1402daf9ba744e8b64f7ef3a196d303", "input": "Problem: the ratio of the ages of mini and minakshi is 4 : 3 . the sum of their ages is 35 years . the ratio of their ages after 8 years will be \nOptions: a ) 28 : 23 , b ) 6 : 11 , c ) 5 : 4 , d ) 3 : 5 , e ) 7 : 11", "output": [ "a" ] }, { "id": "task1420-053d5f7228e84e0fb93a97d2c8653bcb", "input": "Problem: a theater charges $ 12 for seats in the orchestra and $ 8 for seats in the balcony . on a certain night , a total of 350 tickets were sold for a total cost of $ 3,320 . how many more tickets were sold that night for seats in the balcony than for seats in the orchestra ? \nOptions: a ) 90 , b ) 110 , c ) 120 , d ) 130 , e ) 220", "output": [ "a" ] }, { "id": "task1420-b4980002f1064d49ad1525a145dfd6eb", "input": "Problem: a number a is squared and then multiplied by negative 6 . the result of this operation is equal to 3 times the sum of fourth times a and two . what is one possible value of a ? \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 1 , e ) 5", "output": [ "d" ] }, { "id": "task1420-37d542b91f3a42d090c096b776c61646", "input": "Problem: a new tower has just been built at the verbico military hospital ; the number of beds available for patients at the hospital is now 5 times the number available before the new tower was built . currently , 1 / 3 of the hospital ' s original beds , as well as 1 / 5 of the beds in the new tower , are occupied . for the purposes of renovating the hospital ' s original wing , all of the patients in the hospital ' s original beds must be transferred to beds in the new tower . if patients are neither admitted nor discharged during the transfer , what fraction of the beds in the new tower will be unoccupied once the transfer is complete ? \nOptions: a ) 11 / 30 , b ) 43 / 60 , c ) 17 / 30 , d ) 19 / 30 , e ) 11 / 15", "output": [ "b" ] }, { "id": "task1420-1f4d06e2d5d84523913d5d17fc48b623", "input": "Problem: of the three - digit positive integers that have no digits equal to zero , how many have two digits that are equal to each other and the remaining digit different from the other two ? \nOptions: a ) 24 , b ) 36 , c ) 72 , d ) 1 , e ) 216", "output": [ "e" ] }, { "id": "task1420-970f06a14c864f13b40c9d57aa3e4940", "input": "Problem: 8 is 6 % of a , and 6 is 8 % of b . c equals b / a . what is the value of c ? \nOptions: a ) 3 / 8 , b ) 8 / 15 , c ) 9 / 16 , d ) 12 / 25 , e ) 16 / 27", "output": [ "c" ] }, { "id": "task1420-62801c3af7314bfcb9243bb2976222cb", "input": "Problem: find the least number must be added to 433124 so that remaining no . is divisible by 17 ? \nOptions: a ) 3 , b ) 2 , c ) 5 , d ) 6 , e ) 1", "output": [ "b" ] }, { "id": "task1420-4a20c8a2634b4d5f84b703ad8a64f82b", "input": "Problem: if a person walks at 12 km / hr instead of 8 km / hr , he would have walked 20 km more . the actual distance traveled by him is ? \nOptions: a ) 50 km , b ) 58 km , c ) 60 km , d ) 40 km , e ) 65 km", "output": [ "d" ] }, { "id": "task1420-adbb0e6633c54bb7be4e04ef629f1bd6", "input": "Problem: david is 12 years older than his daughter rosy . in 4 years david will be twice as old as rosy . what is rosy current age . \nOptions: a ) 9 , b ) 10 , c ) 11 , d ) 8 , e ) 12", "output": [ "d" ] }, { "id": "task1420-a2a617413aba48acb4c75b2e006b2fb7", "input": "Problem: last year , for every 100 million vehicles that traveled on a certain highway , 80 vehicles were involved in accidents . if 4 billion vehicles traveled on the highway last year , how many of those vehicles were involved in accidents ? ( 1 billion = 1,000 , 000,000 ) \nOptions: a ) 1600 , b ) 3200 , c ) 800 , d ) 400 , e ) 200", "output": [ "b" ] }, { "id": "task1420-d5850ec590854308b305ddd53d5aaa5d", "input": "Problem: in x - y plane , there is a right triangle abc ( ∠ b = 90 o ) . if the length of ac is 100 and the slope of line segment ac is 4 / 3 , what is the length of ab ? \nOptions: a ) 12 , b ) 18 , c ) 24 , d ) 28 , e ) 80", "output": [ "e" ] }, { "id": "task1420-50e383d8eaee4ec4813661c4045753d2", "input": "Problem: if k is a non - negative integer and 30 ^ k is a divisor of 929260 then 3 ^ k - k ^ 3 = \nOptions: a ) 0 , b ) 1 , c ) 45 , d ) 130 , e ) 520", "output": [ "b" ] }, { "id": "task1420-a833f64aa8e844ddaadfcf993c5bca0e", "input": "Problem: what is the remainder when ( 71 ) ( 73 ) is divided by 8 ? \nOptions: a ) 1 , b ) 2 , c ) 4 , d ) 5 , e ) 7", "output": [ "e" ] }, { "id": "task1420-53969b1465654e34989ae4950130575c", "input": "Problem: the average weight of 8 students decreases by 5 kg when one of them weighing 86 kg is replaced by a new student . the weight of the student is \nOptions: a ) 46 kg , b ) 48 kg , c ) 70 kg , d ) 72 kg , e ) none of these", "output": [ "a" ] }, { "id": "task1420-35ae34bc957444078b2452e93124ec5f", "input": "Problem: in an examination , 34 % of total students failed in hindi , 44 % failed in english and 22 % in both . the percentage of these who passed in both the subjects is : \nOptions: a ) 23 , b ) 37 , c ) 28 , d ) 44 , e ) 81", "output": [ "d" ] }, { "id": "task1420-5f2bfab864f64e97b154752e7c5aedc0", "input": "Problem: a sum of money lent out at s . i . amounts to a total of $ 520 after 2 years and to $ 820 after a further period of 5 years . what was the initial sum of money that was invested ? \nOptions: a ) $ 340 , b ) $ 360 , c ) $ 380 , d ) $ 400 , e ) $ 420", "output": [ "d" ] }, { "id": "task1420-b5bab7076e274ef7ad9bb4380358cddb", "input": "Problem: solving a linear equation with several occurrences of the variable , solve for w . simplify answer as much as possible . ( 7 w + 6 ) / 6 + ( 9 w + 8 ) / 2 = 22 \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "c" ] }, { "id": "task1420-dc9ff2e900064f24911c7f05952006f6", "input": "Problem: mary ' s income is 60 % more than tim ' s income and tim ' s income is 10 % less than juan ' s income . what % of juan ' s income is mary ' s income . \nOptions: a ) 144 % , b ) b . 120 % , c ) 96 % , d ) 80 % , e ) 64 %", "output": [ "a" ] }, { "id": "task1420-bc2a7358c9a842a2a606f3b168e8de38", "input": "Problem: a certain galaxy is known to comprise approximately 5 x 10 ^ 11 stars . of every 50 million of these stars , one is larger in mass than our sun . approximately how many stars in this galaxy are larger than the sun ? \nOptions: a ) 800 , b ) 1,250 , c ) 8,000 , d ) 12,000 , e ) 10,000", "output": [ "e" ] }, { "id": "task1420-5b5f3d8543874112ad3bc7dacaab5eaf", "input": "Problem: mysoon collects glass ornaments . 10 more than 1 / 6 of the ornaments in her collection are handmade , and 1 / 2 of the handmade ornaments are antiques . if 1 / 3 of the ornaments in her collection are handmade antiques , how many ornaments are in her collection ? \nOptions: a ) 20 , b ) 60 , c ) 108 , d ) 144 , e ) 180", "output": [ "a" ] }, { "id": "task1420-3d78c4f8f3624a5483bb0e83a06d5050", "input": "Problem: at a certain food stand , the price of each apple is 40 ¢ and the price of each orange is 60 ¢ . mary selects a total of 10 apples and oranges from the food stand , and the average ( arithmetic mean ) price of the 10 pieces of fruit is 52 ¢ . how many oranges must mary put back so that the average price of the pieces of fruit that she keeps is 44 ¢ ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "e" ] }, { "id": "task1420-3cdc0d56f1594445b5446f71be0036f5", "input": "Problem: when positive integer m is divided by positive integer n , the remainder is 12 . if m / n = 24.2 , what is the value of n ? \nOptions: a ) 120 , b ) 60 , c ) 30 , d ) 24 , e ) 12", "output": [ "b" ] }, { "id": "task1420-175add4ecd7c47a183df296bbc452f9d", "input": "Problem: ( 178 % of 1265 ) ÷ 5.96 = ? \nOptions: a ) 125 , b ) 175 , c ) 225 , d ) 375 , e ) 524", "output": [ "d" ] }, { "id": "task1420-1503b9ad8b2349c8a691b501afcec721", "input": "Problem: find the sum of first 10 odd numbers \nOptions: a ) 10 , b ) 40 , c ) 200 , d ) 100 , e ) 540", "output": [ "d" ] }, { "id": "task1420-37db27a9d4e547b28d4cd71e2afa88f3", "input": "Problem: sale of rs 6835 , rs . 9927 , rs . 6855 , rs . 7230 and rs . 6562 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs , 6700 ? \nOptions: a ) 4966 , b ) 6191 , c ) 2877 , d ) 2676 , e ) 1881", "output": [ "b" ] }, { "id": "task1420-2f3823fbe545405391dab2d6dcfe5a25", "input": "Problem: find the greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively . \nOptions: a ) 121 , b ) 124 , c ) 127 , d ) 122 , e ) 129", "output": [ "c" ] }, { "id": "task1420-d8f4a53ea9bc4bb6823a021a5f4d4568", "input": "Problem: 5555 × 9999 = ? \nOptions: a ) 55500005 , b ) 55511115 , c ) 55522225 , d ) 55533335 , e ) 55544445", "output": [ "e" ] }, { "id": "task1420-8151719143054e8b8ca302db20969de2", "input": "Problem: s ( n ) is a n - digit number formed by attaching the first n perfect squares , in order , into one integer . for example , s ( 1 ) = 1 , s ( 2 ) = 14 , s ( 3 ) = 149 , s ( 4 ) = 14916 , s ( 5 ) = 1491625 , etc . how many digits t are in s ( 99 ) ? \nOptions: a ) t = 350 , b ) t = 353 , c ) t = 354 , d ) t = 356 , e ) 357", "output": [ "b" ] }, { "id": "task1420-2046bea989b3475c88245febd9ab33d3", "input": "Problem: what least number should be subtracted from 997 so that the remainder when divided by 5 , 9 , and 11 will leave in each case the same remainder 3 ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "d" ] }, { "id": "task1420-46bbb9aabee6454a90414febe7a2f7db", "input": "Problem: in an entrance exam , 3 marks is awarded for every correct answer and ( - 1 ) for every wrong answer . if a student gets 38 marks after attempting all questions , find the number of questions answered correctly if the total questions were 70 . \nOptions: a ) 38 , b ) 40 , c ) 27 , d ) 43 , e ) 56", "output": [ "c" ] }, { "id": "task1420-670edd5fbef3450b9f8db390a87df3dc", "input": "Problem: the average of the marks of 11 students in a class is 36 . if the marks of each student are doubled , find the new average ? \nOptions: a ) 69 , b ) 70 , c ) 71 , d ) 72 , e ) 75", "output": [ "d" ] }, { "id": "task1420-74fba68ef898455b9280e6100ac139d1", "input": "Problem: the average marks of a class of 24 students is 40 and that of another class of 50 students is 60 . find the average marks of all the students ? \nOptions: a ) 52.2 , b ) 59.5 , c ) 52.8 , d ) 53.5 , e ) 52.1", "output": [ "d" ] }, { "id": "task1420-796b1d25a5de46e8b4bd3e0c68a7ef0f", "input": "Problem: what is the sum of natural numbers between 50 and 100 \nOptions: a ) 4800 , b ) 4860 , c ) 3825 , d ) 5500 , e ) 5550", "output": [ "c" ] }, { "id": "task1420-a85f637402f749e6bae057aa2532fb27", "input": "Problem: ravi ' s 4 days average income is 1025.68 . but in a form he should write his average income as the greatest positive even integer less than or equal to his 4 days average income . what is the difference between his real average and form filling average ? \nOptions: a ) 2 , b ) 4.3 , c ) 1.68 , d ) 1.5 , e ) 3.2", "output": [ "c" ] }, { "id": "task1420-62cd947e066f4e378004712e386bd933", "input": "Problem: what is the remainder when 3 ^ 30 is divided by 5 ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4", "output": [ "e" ] }, { "id": "task1420-85502fa099e44bc6b32b47313d69707f", "input": "Problem: find large no . from below question the difference of two numbers is 1365 . on dividing the larger number by the smaller , we get 6 as quotient and the 5 as remainder \nOptions: a ) 1637 , b ) 1456 , c ) 1567 , d ) 1678 , e ) 1635", "output": [ "a" ] }, { "id": "task1420-6e02fab1dce7410ab09f28fd3438b6fa", "input": "Problem: what is the value of : - 9 ^ 7 + 9 ^ 9 ? \nOptions: a ) 9 ^ 2 , b ) - 18 ^ 16 , c ) 63 ( 9 ^ 7 ) , d ) - 80 ( 9 ^ 7 ) , e ) 80 ( 9 ^ 7 )", "output": [ "e" ] }, { "id": "task1420-113ee61bfdfc42148be0d9c5f98e844d", "input": "Problem: find the average of all numbers between 1 and 13 which are divisible by 2 \nOptions: a ) 15 , b ) 21 , c ) 25 , d ) 30 , e ) 35", "output": [ "b" ] }, { "id": "task1420-19eeb235faa24b2cb6293a8c79de9a2e", "input": "Problem: in the faculty of reverse - engineering , 226 second year students study numeric methods , 450 second year students study automatic control of airborne vehicles and 134 second year students study them both . how many students are there in the faculty if the second year students are approximately 80 % of the total ? \nOptions: a ) 515 . , b ) 678 . , c ) 618 . , d ) 644 . , e ) 666 .", "output": [ "b" ] }, { "id": "task1420-3070014b3638463781f2fe235d295cb5", "input": "Problem: the ratio of two no . addition and subtraction be 4 : 3 . the what is the ratio of numbers ? \nOptions: a ) 3 : 2 , b ) 4 : 3 , c ) 5 : 1 , d ) 6 : 5 , e ) 7 : 1", "output": [ "e" ] }, { "id": "task1420-1068a7309adf49808caafa7e02caa255", "input": "Problem: evaluate 2 + 22 + 222 + 2.22 \nOptions: a ) 269.72 , b ) 268.22 , c ) 248.21 , d ) 248.22 , e ) 268.21", "output": [ "d" ] }, { "id": "task1420-e63dce46821f4b2c93fd2827a6d090a1", "input": "Problem: the average of 11 numbers is 60 . out of 11 numbers the average of first 6 no . is 78 , and last 6 numbers is 75 then find 6 th number ? \nOptions: a ) a ) 258 , b ) b ) 65 , c ) c ) 58 , d ) d ) 62 , e ) e ) 48", "output": [ "a" ] }, { "id": "task1420-b81c9f025708422db0cf28f589e4fbcd", "input": "Problem: a fruit drink is made of orange , watermelon , and grape juice , where 25 percent of the drink is orange juice and 40 percent is watermelon juice . if the drink is made with 105 ounces of grape juice , how many ounces is the drink total ? \nOptions: a ) 220 , b ) 250 , c ) 280 , d ) 300 , e ) 340", "output": [ "d" ] }, { "id": "task1420-4dff30eb3f28478dbc1b03b210ff43c5", "input": "Problem: if n = 2 ^ 0.20 and n ^ b = 16 , b must equal \nOptions: a ) 3 / 80 , b ) 3 / 5 , c ) 20 , d ) 5 / 3 , e ) 80 / 3", "output": [ "c" ] }, { "id": "task1420-84d148de83534915b8e062238f8b6517", "input": "Problem: the number of positive integer solutions for the equation x + y + z + t = 21 is \nOptions: a ) 1140 , b ) 1145 , c ) 1240 , d ) 1340 , e ) 15640", "output": [ "a" ] }, { "id": "task1420-2199780e42694d3280ffe0284c45238b", "input": "Problem: a certain company had a total annual expenditure of 1.47 ∗ 10 ^ 7 on employee salaries last year . if the company employed 420 people , what was the average employee salary ? \nOptions: a ) $ 20,000 , b ) $ 25,000 , c ) $ 35,000 , d ) $ 40,000 , e ) $ 45,000", "output": [ "c" ] }, { "id": "task1420-617a37ca2e71403da389bd3cab185ae5", "input": "Problem: if the probability of rain on any given day in chicago during the summer is 25 % , independent of what happens on any other day , what is the probability of having exactly 3 rainy days from july 4 through july 7 inclusive ? \nOptions: a ) 1 / 16 , b ) 3 / 32 , c ) 5 / 32 , d ) 3 / 64 , e ) 7 / 64", "output": [ "d" ] }, { "id": "task1420-39bdb1640796477893b98b17a9aab1ae", "input": "Problem: when jessica withdrew $ 200 from her bank account , her account balance decreased by 2 / 5 . if she deposits an amount equal to 1 / 2 of the remaining balance , what will be the final balance in her bank account ? \nOptions: a ) 300 , b ) 375 , c ) 450 , d ) 500 , e ) 575", "output": [ "c" ] }, { "id": "task1420-fc5ce42edbec4a4a977f0260580e7fdf", "input": "Problem: j is 25 % less than p and 20 % less than t . t is x % less than p . what is the value of x ? \nOptions: a ) 93.5 , b ) 90 , c ) 6.75 , d ) 6.25 , e ) 2", "output": [ "d" ] }, { "id": "task1420-a011a2f93b8c44c3a095cc65261c96a7", "input": "Problem: if 42.24 = k ( 14 + m / 50 ) , where k and m are positive integers and m < 50 , then what is the value of k + m ? \nOptions: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10", "output": [ "b" ] }, { "id": "task1420-f3b3ad2e26134e349d15b2cfd704ef6a", "input": "Problem: find large no . from below question the difference of two numbers is 1365 . on dividing the larger number by the smaller , we get 6 as quotient and the 30 as remainder \nOptions: a ) 1235 , b ) 1456 , c ) 1567 , d ) 1632 , e ) 1635", "output": [ "d" ] }, { "id": "task1420-c5b6b5bf2ed546a1a430e59e3f9e93b2", "input": "Problem: the average age of 8 men is increased by years when two of them whose ages are 21 years and 23 years are replaced by two new men . the average age of the two new men is \nOptions: a ) 22 , b ) 30 , c ) 99 , d ) 38 , e ) 27", "output": [ "b" ] }, { "id": "task1420-8ff5cf0f70ec4d888a250659866267b7", "input": "Problem: the sum of the squares of 3 numbers is 241 , while the sum of their products taken two at a time is 100 . their sum is : \nOptions: a ) 20 , b ) 11 , c ) 21 , d ) 41 , e ) none of these", "output": [ "c" ] }, { "id": "task1420-76db1f71b982412c9ff1d50f4638e30e", "input": "Problem: 377 ÷ 13 ÷ 29 × 1 / 4 ÷ 2 = ? \nOptions: a ) 1 / 6 , b ) 1 / 8 , c ) 1 / 10 , d ) 1 / 12 , e ) 1 / 15", "output": [ "b" ] }, { "id": "task1420-44246407e1924d059083b81facf5f61d", "input": "Problem: if the median of a list of numbers is m , the first quartile of the list is the median of the numbers in the list that are less than m . what is the first quartile of the list of numbers 42 , 24 , 30 , 22 , 26 , 27 , 33 and 35 ? \nOptions: a ) 33 , b ) 28 , c ) 27 , d ) 24 , e ) 25", "output": [ "e" ] }, { "id": "task1420-31a523d890ef455b979aa9aaf592748b", "input": "Problem: joan took out a mortgage from hel local bank . each monthly mortgage payment she makes must be triple the amount of the previous month ' s payment . if her first payment is $ 100 , and the total amount she must pay back is $ 914800 , how many months will it take joan to pay back her mortgage ? \nOptions: a ) 6 , b ) 8 , c ) 10 , d ) 9 , e ) 13", "output": [ "d" ] }, { "id": "task1420-f45621e16d8f4aea9631286adee322a2", "input": "Problem: the mean of 50 observations is 200 . but later he found that there is decrements of 6 from each observations . what is the the updated mean is ? \nOptions: a ) 165 , b ) 185 , c ) 190 , d ) 198 , e ) 194", "output": [ "e" ] }, { "id": "task1420-3d55bc4d142c4b8e9b5932d3fac85eb9", "input": "Problem: find the least number which when divided by 5,6 , 7,8 leaves a remainder 3 but when divided by 9 leaves no remainder \nOptions: a ) 9632 , b ) 7896 , c ) 8741 , d ) 1683 , e ) 8523", "output": [ "d" ] }, { "id": "task1420-82c58417eb2e4e5890756022434f0f0b", "input": "Problem: on a certain date , pat invested $ 10,000 at x percent annual interest , compounded annually . if the total value of the investment plus interest at the end of 12 years will be $ 40,000 , in how many years , the total value of the investment plus interest will increase to $ 320,000 ? \nOptions: a ) 30 , b ) 16 , c ) 18 , d ) 20 , e ) 24", "output": [ "a" ] }, { "id": "task1420-231d67d0d75a4935a1bcbdbb93f2b614", "input": "Problem: if 213 × 16 = 3408 , then 16 × 21.3 is equal to : \nOptions: a ) 0.3408 , b ) 3.408 , c ) 34.08 , d ) 340.8 , e ) none of these", "output": [ "d" ] }, { "id": "task1420-47ce94ee8ab14ac6b74578aad5c2246c", "input": "Problem: how many 4 digit numbers have no repeat digits , do not contain zero , and have a sum of digits d equal to 28 ? \nOptions: a ) 14 , b ) 24 , c ) 28 , d ) 48 , e ) 96", "output": [ "d" ] }, { "id": "task1420-b21c5639e9574fd89abea1460aaeeec3", "input": "Problem: if f ( f ( n ) ) + f ( n ) = 2 n + 3 , f ( 0 ) = 1 then f ( 2016 ) = ? \nOptions: a ) 2017 , b ) 2088 , c ) 270 , d ) 1881 , e ) 1781", "output": [ "a" ] }, { "id": "task1420-4164304d4a7b4555828ae84371bb4931", "input": "Problem: a company has 15 managers and 75 associates . the 15 managers have an average salary of $ 120,000 . the 75 associates have an average salary of $ 30,000 . what is the average salary for the company ? \nOptions: a ) $ 35,000 , b ) $ 45,000 , c ) $ 55,000 , d ) $ 65,000 , e ) $ 75,000", "output": [ "b" ] }, { "id": "task1420-9da23249524349e1bf0b94a6f3d5718c", "input": "Problem: the average runs scored by a batsman in 25 matches is 45 . in the next 7 matches the batsman scored an average of 15 runs . find his average in all the 32 matches ? \nOptions: a ) 31355 , b ) 38.44 , c ) 29.55 , d ) 97.66 , e ) 45.66", "output": [ "b" ] }, { "id": "task1420-f8d4874e9b114890ae55fc587d8cb2f2", "input": "Problem: what is the average of odd numbers from 1 to 79 ? \nOptions: a ) 30 , b ) 25 , c ) 35 , d ) 40 , e ) 45", "output": [ "d" ] }, { "id": "task1420-a8e7edaf27d64be29cfb67594e697774", "input": "Problem: how many positive integers less than 80 are multiples of 4 but not multiples of 6 ? \nOptions: a ) 4 , b ) 6 , c ) 8 , d ) 10 , e ) 12", "output": [ "e" ] }, { "id": "task1420-14b6b91494bd4f9e9ef21b2db84e8c4a", "input": "Problem: a , b and c play a cricket match . the ratio of the runs scored by them in the match is a : b = 2 : 3 and b : c = 2 : 5 . if the total runs scored by all of them are 75 , the runs scored by a are ? \nOptions: a ) 11 , b ) 18 , c ) 13 , d ) 17 , e ) 12", "output": [ "e" ] }, { "id": "task1420-edac7db2e99142d6ab6491d5f3d91c35", "input": "Problem: the average age of a class of 20 students is 18 years . the average increased by 2 when the teacher ' s age also included . what is the age of the teacher ? \nOptions: a ) 40 years , b ) 41 years , c ) 42 years , d ) 43 years , e ) 44 years", "output": [ "a" ] }, { "id": "task1420-69a8f3e9e9164641b3217a0a72b8143d", "input": "Problem: total 60 cows 20 cow gives each 2 liter milk 20 cow gives each 3 / 4 liter milk 20 cow gives each 1 / 4 liter milk this is split into 3 son per each 20 cows & 20 liter milk how ? \nOptions: a ) 20 , b ) 10 , c ) 15 , d ) 16 , e ) 18", "output": [ "a" ] }, { "id": "task1420-8ef6f55d0f01424d808174e8719bd3fb", "input": "Problem: hillary and eddy are climbing to the summit of mt . everest from a base camp 4,900 ft from the summit . when they depart for the summit at 06 : 00 , hillary climbs at a rate of 800 ft / hr with eddy lagging behind at a slower rate of 500 ft / hr . if hillary stops 900 ft short of the summit and then descends at a rate of 1,000 ft / hr , at what time do hillary and eddy pass each other on her return trip ? \nOptions: a ) 10.0 , b ) 11.0 , c ) 13.0 , d ) 12.0 , e ) 14.0", "output": [ "d" ] }, { "id": "task1420-8788ec422ad2401cb31500d324fb1313", "input": "Problem: the proportion of copper and zinc in the brass is 13 : 7 . how much zinc will there be in 100 kg of brass ? \nOptions: a ) 37 kg , b ) 35 kg , c ) 85 kg , d ) 45 kg , e ) 25 kg", "output": [ "b" ] }, { "id": "task1420-9a80ab11b663423eb81f7a93084f2668", "input": "Problem: 4 years ago , paula was 4 times as old as karl . in 12 years , paula will be twice as old as karl . what is the sum of their ages now ? \nOptions: a ) 36 , b ) 40 , c ) 44 , d ) 48 , e ) 52", "output": [ "d" ] }, { "id": "task1420-39676fedacd74588802af849c0479139", "input": "Problem: if 40 % of a number is equal to two - third of another number , what is the ratio of first number to the second number . \nOptions: a ) 5 : 3 , b ) 2 : 5 , c ) 4 : 7 , d ) 5 : 2 , e ) none of these", "output": [ "a" ] }, { "id": "task1420-1d335aa568a54ae2a0cc8c1727cc8fb2", "input": "Problem: for any integer k greater than 1 , the symbol k * denotes the product of all the fractions of the form 1 / t , where t is an integer between 1 and k , inclusive . what is the value of 5 * / 6 * ? \nOptions: a ) 5 , b ) 5 / 4 , c ) 4 / 5 , d ) 1 / 4 , e ) 1 / 5", "output": [ "d" ] }, { "id": "task1420-1745c000886a4c279427bd86229216d0", "input": "Problem: ' a ' and ' b ' are positive integers such that their lcm is 20 and their hcf is 1 . what is the addition of the maximum and minimum possible values of ' a + b ' ? \nOptions: a ) 28 , b ) 30 , c ) 22 , d ) 20 , e ) 32", "output": [ "b" ] }, { "id": "task1420-9027d419aba24f6c93a2c8352e1badef", "input": "Problem: on dividing 15968 by a certain number , the quotient is 89 and the remainder is 37 . find the divisor . \nOptions: a ) 170 , b ) 179 , c ) 37 , d ) 67 , e ) 32", "output": [ "b" ] }, { "id": "task1420-4f563175339c4573946ccdc9b11bf57e", "input": "Problem: if y > 0 , ( 9 y ) / 20 + ( 3 y ) / 10 is what percent of y ? \nOptions: a ) 40 % , b ) 50 % , c ) 60 % , d ) 70 % , e ) 75 %", "output": [ "e" ] }, { "id": "task1420-47ea8d1adaac462abf32f7c33a67dd81", "input": "Problem: in a certain egg - processing plant , every egg must be inspected , and is either accepted for processing or rejected . for every 96 eggs accepted for processing , 4 eggs are rejected . if , on a particular day , 12 additional eggs were accepted , but the overall number of eggs inspected remained the same , the ratio of those accepted to those rejected would be 99 to 1 . how many q eggs does the plant process per day ? \nOptions: a ) 100 , b ) 300 , c ) 400 , d ) 3000 , e ) 4000", "output": [ "c" ] }, { "id": "task1420-7dacaef1859b42238601ab4d27e1af54", "input": "Problem: a man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 0.5 kmph , find his average speed for the total journey ? \nOptions: a ) 4 , b ) 3.5 , c ) 3 , d ) 3.1 , e ) 2.8", "output": [ "d" ] }, { "id": "task1420-8f8f02125f0a4cfd92374eee0adbe44a", "input": "Problem: an integer n between 1 and 99 , inclusive , is to be chosen at random . what is the probability that n ( n + 2 ) will be divisible by 3 ? \nOptions: a ) 1 / 9 , b ) 1 / 3 , c ) 1 / 2 , d ) 2 / 3 , e ) 5 / 6", "output": [ "d" ] }, { "id": "task1420-c63421fb067e47fcabbfb02a48fe068b", "input": "Problem: in a company of 15 employees , 6 employees earn $ 37,000 , 5 employees earn $ 42,000 , and the 4 highest - paid employees earn the same amount . if the average annual salary for the 15 employees is $ 45,000 , what is the annual salary for each of the highest - paid employees ? \nOptions: a ) $ 56,250 , b ) $ 57,750 , c ) $ 59,250 , d ) $ 60,750 , e ) $ 62,250", "output": [ "d" ] }, { "id": "task1420-d7d16436f3464a708ed197a6d9ca2966", "input": "Problem: 0.9999 + 0.1111 = ? \nOptions: a ) 1 , b ) 1.0001 , c ) 1.0021 , d ) 1.111 , e ) 1.1111", "output": [ "d" ] }, { "id": "task1420-8fb2e65154814013bacb51f5b10c5e93", "input": "Problem: the average of marks obtained by 120 candidates was 35 . if the avg of marks of passed candidates was 39 & that of failed candidates was 39 and that of failed candidates was 15 , the no . of candidates who passed the examination is ? \nOptions: a ) 80 , b ) 90 , c ) 100 , d ) 120 , e ) 140", "output": [ "c" ] }, { "id": "task1420-46b1c9bfa1c044a0ab0d6d746af578da", "input": "Problem: find the mean proportional between 49 & 64 ? \nOptions: a ) a ) 59 , b ) b ) 61 , c ) c ) 56 , d ) d ) 65 , e ) e ) 67", "output": [ "c" ] }, { "id": "task1420-42a6740bff034210ae14b9df60a4ed1a", "input": "Problem: a shop produces sarongs . the daily average production is given by 5 n + 20 , where n is the number of workers aside from the owner . in the first k days , 500 units are produced , and then 5 workers are added to the team . after another k days , the cumulative total is 1300 . how many workers were part of the latter production run ? \nOptions: a ) a ) 6 , b ) b ) 10 , c ) c ) 9 , d ) d ) 15 , e ) e ) 23.5", "output": [ "c" ] }, { "id": "task1420-50247a4a89b74c66ad48ebc2944f83b7", "input": "Problem: alan buys 4 tvs , a 26 inch , a 28 inch , a 30 inch , and a 32 inch , for his new house . each tv costs $ 200 more than the size below it . alan spends a total of $ 3,800 . how much would he have spent if he had bought only the 28 inch and 30 inch tvs ? \nOptions: a ) 850 , b ) 1,100 , c ) 1,900 , d ) 2,550 , e ) 3,400", "output": [ "c" ] }, { "id": "task1420-5fada02d6de24cb4920b13aa5c7dfd5a", "input": "Problem: a school has 6 maths 5 physics and 5 chemistry teachers each teacher can teach 4 subjects max what is he minimum number of teachers required \nOptions: a ) 2 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "b" ] }, { "id": "task1420-83d069e465b9439c84857adeea44fba9", "input": "Problem: at the end of year x , automobile installment credit accounted for 43 % of all outstanding consumer installment credit . at that time automobile finance companies extended $ 50 billion of credit , or 1 / 4 of the automobile installment credit . how many billion dollars of consumer installment credit was outstanding at that time ? \nOptions: a ) 450 , b ) 465.12 , c ) 475 , d ) 500.15 , e ) 200", "output": [ "b" ] }, { "id": "task1420-6eeb11efdc52456c80320791898676eb", "input": "Problem: what is the largest 4 digit number exactly divisible by 48 ? \nOptions: a ) 4676 , b ) 4678 , c ) 9984 , d ) 9504 , e ) 9936", "output": [ "c" ] }, { "id": "task1420-f37d93885a8e4f978e36c98ba56c96ac", "input": "Problem: x and y are positive integers . when x is divided by 17 , the remainder is 3 , and when x is divided by 19 , the remainder is 1 . when y is divided by 14 , the remainder is 5 , and when y is divided by 21 , the remainder is 12 . what is the least possible value of y - x ? \nOptions: a ) 15 , b ) 13 , c ) 11 , d ) 14 , e ) 18", "output": [ "b" ] }, { "id": "task1420-216378275a954f6784f39cf84f0a6865", "input": "Problem: for covering 88 km a wheel revolve 1000 times . what is the radius of wheel ? \nOptions: a ) 14 m , b ) 24 m , c ) 28 m , d ) 40 m , e ) none of the above", "output": [ "c" ] }, { "id": "task1420-5b0399660cf14c37880d49d9c50df904", "input": "Problem: a certain protective additive increases from 20 days to 25 days the time between required maintenance checks on an industrial vehicle . by what percent is the time between maintenance checks increased by using the additive ? \nOptions: a ) 25 % , b ) 33 1 / 3 % , c ) 50 % , d ) 66 2 / 3 % , e ) 75 %", "output": [ "a" ] }, { "id": "task1420-c6870f550c07465ca7e79465cb2ef536", "input": "Problem: when a certain tree was first planted , it was 4 feet tall , and the height of the tree increased by a constant amount each year for the next 6 years . at the end of the 6 th year , the tree was 1 / 7 taller than it was at the end of the 4 th year . by how many feet did the height of the tree increase each year ? \nOptions: a ) 3 / 10 , b ) 2 / 5 , c ) 1 / 2 , d ) 2 / 3 , e ) 6 / 5", "output": [ "b" ] }, { "id": "task1420-84ec0488c9a840fc99df561bba0bbd6e", "input": "Problem: how many times digit 10 is used while writing numbers from 100 to 1000 ? \nOptions: a ) 100 , b ) 90 , c ) 85 , d ) 110 , e ) 120", "output": [ "b" ] }, { "id": "task1420-c7468c6d08ce41ea9f533e046c810c4a", "input": "Problem: 0.0007 ? = 0.01 \nOptions: a ) 70 , b ) 7 , c ) 0.7 , d ) 0.07 , e ) none of these", "output": [ "d" ] }, { "id": "task1420-966fab981d6545d48ac3d3a3cf0eecfe", "input": "Problem: given f ( x ) = 3 x – 5 , for what value of x does 2 * [ f ( x ) ] + 5 = f ( 3 x – 6 ) \nOptions: a ) 0 , b ) 4 , c ) 6 , d ) 7 , e ) 13", "output": [ "c" ] }, { "id": "task1420-14cd6722dc3146e78c962d1a3af6afb5", "input": "Problem: if , 1 * 3 * 5 = 16 3 * 5 * 7 = 38 5 * 7 * 9 = 68 then find , 7 * 9 * 11 = ? \nOptions: a ) 106 , b ) 49 , c ) 68 , d ) 38 , e ) 55", "output": [ "a" ] }, { "id": "task1420-670a7842a74740ab96706f30770dcc9c", "input": "Problem: if t = 5 / 9 * ( k - 32 ) , and if t = 35 , then what is the value of k ? \nOptions: a ) 92 , b ) 95 , c ) 98 , d ) 101 , e ) 104", "output": [ "b" ] }, { "id": "task1420-ab84d6f0732842679efd584f23299db7", "input": "Problem: if 5 < x < 9 and y = x + 7 , what is the greatest possible integer value of x + y ? \nOptions: a ) 21 , b ) 22 , c ) 23 , d ) 24 , e ) 25", "output": [ "d" ] }, { "id": "task1420-fd6050f582ae47589496e4a79b2b6f6b", "input": "Problem: in 1950 , richard was 4 times as old as robert . in 1955 , richard was 3 times as old as robert . in which year was richard 1.5 times as old as robert ? \nOptions: a ) 1960 , b ) 1965 , c ) 1970 , d ) 1975 , e ) 2000", "output": [ "e" ] }, { "id": "task1420-44fd1667d3424966a4d393a5731fe6bf", "input": "Problem: the difference between a number and its two - fifth is 510 . what is 15 % of that number ? \nOptions: a ) 152.01 , b ) 85 , c ) 76 , d ) 168.2 , e ) 127.5", "output": [ "e" ] }, { "id": "task1420-5d4c4150467d4b7fad056fec29ccc5da", "input": "Problem: if ( a - b - c + d = 13 ) and ( a + b - c - d = 9 ) , what is the value of ( b - d ) ^ 2 ? \nOptions: a ) 4 . , b ) 8 . , c ) 12 . , d ) 16 . , e ) 64 .", "output": [ "a" ] }, { "id": "task1420-4e1cce1cf80342e487ef41a4a487e36d", "input": "Problem: the average weight of 10 persons increases by 3.2 kg when a new person comes in place of one of them weighing 65 kg . what might be the weight of the new person ? \nOptions: a ) 76 kg , b ) 80 kg , c ) 85 kg , d ) 97 kg , e ) none", "output": [ "d" ] }, { "id": "task1420-c95c2283bf994c2a9c8292ad6f88ae23", "input": "Problem: a motorcycle importer is planning on increasing the price of a certain model by $ 1000 . at this new price 8 fewer motorcycles will be sold per month , but the total revenues will increase by $ 26000 to $ 594000 . what is the number of motorcycles the manufacturer will sell at this new price ? \nOptions: a ) 61 , b ) 62 , c ) 65 , d ) 63 , e ) 64", "output": [ "d" ] }, { "id": "task1420-f3feb1d0aa5c4cd0bfd3578fdaaaca73", "input": "Problem: i chose a number and divide it by 4 . then i subtracted 175 from the result and got 10 . what was the number i chose ? \nOptions: a ) 200 , b ) 740 , c ) 780 , d ) 500 , e ) 100", "output": [ "b" ] }, { "id": "task1420-178b0b604e9746a6aeeba9d459803a1e", "input": "Problem: a car travels uphill at 30 km / hr and downhill at 70 km / hr . it goes 100 km uphill and 50 km downhill . find the average speed of the car ? \nOptions: a ) 32 kmph , b ) 33 kmph , c ) 34 kmph , d ) 35 kmph , e ) 37 kmph", "output": [ "e" ] }, { "id": "task1420-b3167f97a4454aefaac8e43327d5178f", "input": "Problem: last week john spent 10 percent of his wages on recreation . this week , his wages are 10 percent less than last week ʼ s wages and he spent 40 percent of his wages on recreation . the amount he spends on recreation this week is what percent of the amount he spent on recreation last week \nOptions: a ) 180 % , b ) 360 % , c ) 200 % , d ) 220 % , e ) 250 %", "output": [ "b" ] }, { "id": "task1420-18dbb9861b974c6382a71361a5a12c06", "input": "Problem: the average score of a cricketer for 7 matches is 56 runs . if the average for first 4 matches is 46 , then average for last 3 matches is \nOptions: a ) 33.25 , b ) 32.25 , c ) 65 , d ) 67 , e ) 69", "output": [ "e" ] }, { "id": "task1420-a8d386569732497f82f2adc6a0ec8f5b", "input": "Problem: of the families in city x in 1992 , 30 percent owned a personal computer . the number of families in city x owning a computer in 1999 was 50 percent greater than it was in 1992 , and the total number of families in city x was 5 percent greater in 1999 than it was in 1994 . what percent of the families in city x owned a personal computer in 1999 ? \nOptions: a ) 43 % , b ) 42.85 % , c ) 45.25 % , d ) 46.23 % , e ) 41.66 %", "output": [ "b" ] }, { "id": "task1420-af68572e736042fa97a52bdda828c608", "input": "Problem: the sum of the ages of 4 children born at the intervals of 3 years each is 36 years . what is the age of the youngest child ? \nOptions: a ) 22 , b ) 18 , c ) 4.5 , d ) 99 , e ) 38", "output": [ "c" ] }, { "id": "task1420-2c8627e867644913a0ce2cd67d65e1ac", "input": "Problem: in the land of oz only one or two - letter words are used . the local language has 69 different letters . the parliament decided to forbid the use of the seventh letter . how many words have the people of oz lost because of the prohibition ? \nOptions: a ) 65 , b ) 66 , c ) 67 , d ) 131 , e ) 138", "output": [ "e" ] }, { "id": "task1420-66ced4ba335c46a6a3cc86de5992c18e", "input": "Problem: simplify : 500 x 500 - 200 x 200 \nOptions: a ) 761200 , b ) 761400 , c ) 761800 , d ) 210000 , e ) none of them", "output": [ "d" ] }, { "id": "task1420-f09c5fe5fa4348b8b1ca8b35f6dbf417", "input": "Problem: in a mixture 60 litres , the ratio of milk and water 2 : 1 . if this ratio is to be 1 : 2 , then the quanity of water to be further added is \nOptions: a ) 50 liters , b ) 55 liters , c ) 60 liters , d ) 70 liters , e ) 75 liters", "output": [ "c" ] }, { "id": "task1420-813f6efef5104a949fc8a3a3a523230f", "input": "Problem: if each digit in the set a = { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 } is used exactly once , in how many ways can the digits be arranged ? \nOptions: a ) 356,580 , b ) 358,680 , c ) 360,780 , d ) 362,880 , e ) 364,980", "output": [ "d" ] }, { "id": "task1420-ed5727ef2d07440ca0f8fc4ed9ddb663", "input": "Problem: the sum of digits of a two digit number is 12 , the difference between the digits is 4 . find the number \nOptions: a ) 84 , b ) 94 , c ) 83 , d ) 72 , e ) none", "output": [ "a" ] }, { "id": "task1420-5c5c949b6ccd4c44aaf8fb3187076c87", "input": "Problem: what is the sum of the odd integers from 35 to 55 , inclusive ? \nOptions: a ) 495 , b ) 550 , c ) 555 , d ) 600 , e ) 605", "output": [ "a" ] }, { "id": "task1420-f2b6a8983db94901bc24cf7e1ae08807", "input": "Problem: think of a number , divide it by 4 and add 9 to it . the result is 15 . what is the number thought of ? \nOptions: a ) 24 , b ) 77 , c ) 297 , d ) 267 , e ) 29", "output": [ "a" ] }, { "id": "task1420-3decdc9d00c34b9fbb981ad44525c0c4", "input": "Problem: in a group of cows and hens , the number of legs are 30 more than twice the number of heads . the number of cows is \nOptions: a ) 15 , b ) 7 , c ) 10 , d ) 12 , e ) 14", "output": [ "a" ] }, { "id": "task1420-dacf9d91e8f345a6b8cc0d9251b1d892", "input": "Problem: in a fuel station the service costs $ 2.05 per car , every liter of fuel costs 0.8 $ . assuming that you fill up 3 mini - vans and 2 trucks , how much money will the fuel cost to all the cars owners total , if a mini - van ' s tank is 65 liters and a truck ' s tank is 120 % bigger and they are all empty - ? \nOptions: a ) 122.6 $ , b ) 228.9 $ , c ) 343.7 $ , d ) 395.05 $ , e ) 412.12 $", "output": [ "d" ] }, { "id": "task1420-805176f4505c47fa9b7f1a529b4347ff", "input": "Problem: cereal a is 10 % sugar by weight , whereas healthier but less delicious cereal b is 3 % sugar by weight . to make a delicious and healthy mixture that is 4 % sugar , what should be the ratio of cereal a to cereal b , by weight ? \nOptions: a ) 2 : 9 , b ) 2 : 7 , c ) 1 : 6 , d ) 1 : 4 , e ) 1 : 3", "output": [ "c" ] }, { "id": "task1420-9db81f8a043b4799a92ba2576cb5e1f9", "input": "Problem: 8 people decided to split the restaurant bill evenly . if the bill was $ 214.18 dollars , how much money did they 1 cent is the smallest unit ? \nOptions: a ) $ 214.16 , b ) $ 214.17 , c ) $ 214.18 , d ) $ 214.19 , e ) $ 214.24", "output": [ "e" ] }, { "id": "task1420-2182658cd63d4508b04d6dfc507979ab", "input": "Problem: # p is defined as 2 p + 20 for any number p . what is p , if # ( # ( # p ) ) = - 4 ? \nOptions: a ) – 108 , b ) – 44 , c ) 10 , d ) - 18 , e ) 18", "output": [ "d" ] }, { "id": "task1420-3357fd4a99b44b8f8f37ee62dfcec4de", "input": "Problem: of all the students in a certain dormitory , 1 / 2 are first - year students and the rest are second - year students . if 4 / 5 of the first - year students have not declared a major and if the fraction of second - year students who have declared a major is 1 / 2 times the fraction of first - year students who have declared a major , what fraction of all the students in the dormitory are second - year students who have not declared a major ? \nOptions: a ) 1 / 15 , b ) 1 / 5 , c ) 9 / 20 , d ) 1 / 3 , e ) 2 / 5", "output": [ "c" ] }, { "id": "task1420-bb4d5d524af34e299d0e10e3af02daf2", "input": "Problem: a car traveled 75 % of the way from town a to town b at an average speed of 75 mph . the car traveled at an average speed of v mph for the remaining part of the trip . the average speed for the entire trip was 50 mph . what is v in mph ? \nOptions: a ) 30 , b ) 35 , c ) 25 , d ) 40 , e ) 45", "output": [ "c" ] }, { "id": "task1420-0b99a1a3064d41e6870273f5d0f436da", "input": "Problem: a student scored an average of 70 marks in 3 subjects : physics , chemistry and mathematics . if the average marks in physics and mathematics is 90 and that in physics and chemistry is 70 , what are the marks in physics ? \nOptions: a ) 130 , b ) 120 , c ) 110 , d ) 180 , e ) 150", "output": [ "c" ] }, { "id": "task1420-d387c2a1d0714c9dbcd1b668f5b0b34b", "input": "Problem: 1939392 * 625 \nOptions: a ) 1212120010 , b ) 1212120000 , c ) 1212120011 , d ) 1212121010 , e ) 1212121000", "output": [ "b" ] }, { "id": "task1420-c5914f86a8d14737bc7021327a8acdb8", "input": "Problem: 25 liters of a mixture is created by mixing liquid p and liquid q in the ratio 3 : 2 . how many liters of liquid q must be added to make the ratio 5 : 4 ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "b" ] }, { "id": "task1420-543f2568c84a4a979f51e44197f4e8df", "input": "Problem: if a no . when divided by 44 , gives 432 as quotient and 0 as remainder . what will be the remainder when dividing the same no . by 34 \nOptions: a ) 2 , b ) 3 , c ) 5 , d ) 7 , e ) 9", "output": [ "a" ] }, { "id": "task1420-dea4365d60824ddd9843f069464d6e3b", "input": "Problem: claire has a total of 92 pets consisting of gerbils and hamsters only . one - quarter of the gerbils are male , and one - third of the hamsters are male . if there are 25 males altogether , how many gerbils does claire have ? \nOptions: a ) 39 , b ) 68 , c ) 54 , d ) 57 , e ) 60", "output": [ "b" ] }, { "id": "task1420-c0c4f16cb3be40b8b661607071f977a4", "input": "Problem: a seller of used cars has 10 cars to sell and each of his clients selected 2 cars that he liked most . if each car was selected exactly thrice , how many clients visited the garage ? \nOptions: a ) 8 , b ) 10 , c ) 15 , d ) 14 , e ) 16", "output": [ "c" ] }, { "id": "task1420-5f847b4209db4eb08bf81471aab6af3d", "input": "Problem: if m and n are positive integers and m ^ 2 + n ^ 2 = 89 , what is the value of m ^ 3 + n ^ 3 ? \nOptions: a ) 72 , b ) 224 , c ) 320 , d ) 512 , e ) 637", "output": [ "e" ] }, { "id": "task1420-b33bb35a36804eb39ebf1b1644d1969c", "input": "Problem: there are 12 students in a class . on the day the test was given , ella was absent . the other 11 students took the test and their average was 74 . the next day , ella took the test , and with this grade included , the new average was 75 . what was ella ' s grade on the test ? \nOptions: a ) 82 , b ) 83 , c ) 84 , d ) 85 , e ) 86", "output": [ "e" ] }, { "id": "task1420-09d0febb897e4c3f97c1f957b883d3db", "input": "Problem: 50 boys and 100 girls are examined in a test ; 50 % of the boys and 40 % of the girls pass . the percentage of the total who failed is ? \nOptions: a ) 42.5 % , b ) 62.1 % , c ) 56.7 % , d ) 39.9 % , e ) 51.4 %", "output": [ "c" ] }, { "id": "task1420-7c87e2de5a2344cc8800f2f2aa948b07", "input": "Problem: in a competitive examination in a state a , 10 % candidates got selected from the total appeared candidates . state b had an equal number of candidates appeared and 12 % candidates got selected with 100 more candidates got selected than a . what was the number of candidates appeared from each state ? \nOptions: a ) 4000 , b ) 5000 , c ) 5500 , d ) 6500 , e ) 4200", "output": [ "b" ] }, { "id": "task1420-a8b691aa0ab94c5585fe0a4926cc5fd3", "input": "Problem: if x / ( 9 p ) is an even prime number , where x is a positive integer and p is a prime number , what is the least value of x ? \nOptions: a ) 22 , b ) 33 , c ) 44 , d ) 66 , e ) 99", "output": [ "c" ] }, { "id": "task1420-0f14f23ecdc24b3c8ab8e26f3cfd3a67", "input": "Problem: a car ferry can hold up to 60 tons of cargo . what is the greatest number of vehicles that the ferry can carry if half the vehicles are cars with an average ( arithmetic mean ) weight of 0.75 tons and half of the vehicles are trucks with an average ( arithmetic mean ) weight of 4 tons ? \nOptions: a ) 12 , b ) 16 , c ) 20 , d ) 24 , e ) 28", "output": [ "d" ] }, { "id": "task1420-ede4f740d1e042f99b22c7e9edf32500", "input": "Problem: a new tower has just been built at the verbico military hospital ; the number of beds available for patients at the hospital is now 6 times the number available before the new tower was built . currently , 1 / 3 of the hospital ' s original beds , as well as 1 / 5 of the beds in the new tower , are occupied . for the purposes of renovating the hospital ' s original wing , all of the patients in the hospital ' s original beds must be transferred to beds in the new tower . if patients are neither admitted nor discharged during the transfer , what fraction of the beds in the new tower will be unoccupied once the transfer is complete ? \nOptions: a ) 11 / 30 , b ) 29 / 60 , c ) 17 / 30 , d ) 19 / 30 , e ) 11 / 15", "output": [ "e" ] }, { "id": "task1420-c430adfecdde4d77a289e2e97b044f01", "input": "Problem: dividing by 3 ⁄ 8 and then multiplying by 5 ⁄ 9 is the same as dividing by what number ? \nOptions: a ) 31 ⁄ 5 , b ) 16 ⁄ 5 , c ) 20 ⁄ 9 , d ) 40 / 27 , e ) 5 ⁄ 16", "output": [ "d" ] }, { "id": "task1420-fe07077df9324ebdb5f9fcf5144519b5", "input": "Problem: a meal cost $ 37.25 adn there was no tax . if the tip was more than 10 pc but less than 15 pc of the price , then the total amount paid should be : \nOptions: a ) 42 - 45 , b ) 41 - 43 , c ) 39 - 41 , d ) 37 - 39 , e ) 36 - 37", "output": [ "b" ] }, { "id": "task1420-6eac0efcd26148908403ae2f9dd06467", "input": "Problem: what is the 21 th digit to the right of the decimal point in the decimal expansion of 1 / 37 ? \nOptions: a ) 0 , b ) 2 , c ) 4 , d ) 7 , e ) 9", "output": [ "d" ] }, { "id": "task1420-4b7920ab7280438ba04cbeff8099297e", "input": "Problem: 1 = 1,2 = 2,3 = 9,4 = 16,5 = 25 , then 9 = ? \nOptions: a ) 1 , b ) 255 , c ) 3 , d ) 445 , e ) 235", "output": [ "c" ] }, { "id": "task1420-f67333a904d4452bb5b47fbdf617dd42", "input": "Problem: if integer k is equal to the sum of all even multiples of 5 between 300 and 610 , what is the greatest prime factor of k ? \nOptions: a ) 32 , b ) 7 , c ) 11 , d ) 13 , e ) 17", "output": [ "a" ] }, { "id": "task1420-673f0d52db864fa59c7eb0175116ce53", "input": "Problem: the ages of two persons differ by 12 years . if 5 years ago , the elder one be 5 times as old as the younger one , their present ages ( in years ) are respectively \nOptions: a ) 20,20 , b ) 20,8 , c ) 25,15 , d ) 30,10 , e ) none of these", "output": [ "b" ] }, { "id": "task1420-75a32b38020b4db9b257584cfc9ea702", "input": "Problem: according to the formula f = 9 / 5 ( c ) + 32 , if the temperature in degrees farenheit ( f ) increases by 25 , by how much does the temperature in degrees celsius ( c ) increase ? \nOptions: a ) 9 , b ) 13.88 , c ) 47 , d ) 48 3 / 5 , e ) 59", "output": [ "b" ] }, { "id": "task1420-10b954731dcb432e9d7ded245ef110dd", "input": "Problem: how many multiples of 10 are there between 10 and 290 ? \nOptions: a ) 8 , b ) 18 , c ) 27 , d ) 51 , e ) 60", "output": [ "c" ] }, { "id": "task1420-b8204e12b78d40cba4aeb5eac97b62a9", "input": "Problem: the arithmetic mean and standard deviation of a certain normal distribution are 17.5 and 2.5 , respectively . what value is exactly 2 standard deviations less than the mean ? \nOptions: a ) 10.5 , b ) 11 , c ) 11.5 , d ) 12 , e ) 12.5", "output": [ "e" ] }, { "id": "task1420-84a668e8c65543f0926508c48a947f68", "input": "Problem: if rs . 782 be divided into 3 parts , proportional to 1 / 2 : 1 / 3 : 3 / 4 , then the second part is ? \nOptions: a ) a ) 426 , b ) b ) 526 , c ) c ) 207 , d ) d ) 165 , e ) e ) 297", "output": [ "d" ] }, { "id": "task1420-0648e95fc33c4c6ab321c7f1bb0bb0c9", "input": "Problem: a group of students decided to collect as many paise from each member of group as is the number of members . if the total collection amounts to rs . 51.84 , the number of the member is the group is : \nOptions: a ) 57 , b ) 67 , c ) 72 , d ) 87 , e ) 97", "output": [ "c" ] }, { "id": "task1420-0da3e5b9c69e489eb3ad6c28589893ee", "input": "Problem: if a and b are positive numbers , and a ^ 3 + b ^ 3 = 140 , then the greatest possible value of a is between : \nOptions: a ) 0 and 2 , b ) 2 and 3 , c ) 3 and 4 , d ) 4 and 5 , e ) 5 and 8", "output": [ "e" ] }, { "id": "task1420-ed854c2dcfa84a3a95328f75c0847929", "input": "Problem: what is the smallest number which when increased by 3 is divisible by 18 , 70 , 100 and 84 ? \nOptions: a ) 5307 , b ) 5647 , c ) 5927 , d ) 6297 , e ) 6557", "output": [ "d" ] }, { "id": "task1420-6b377924bacd476d948721bb0d0fdbe7", "input": "Problem: when the smallest of 3 consecutive odd integers is added to 4 times the largest , it produces a result 732 more than 4 times the middle integer . find the numbers ? \nOptions: a ) 732 , b ) 678 , c ) 698 , d ) 710 , e ) 729", "output": [ "a" ] }, { "id": "task1420-04945e23b1a64388afc9c2336eb545dd", "input": "Problem: 10 is added to a certain number , the sum is multiplied by 2 , the product is divided by 2 and 2 is subtracted from the quotient . the remainder left is half of 88 . what is the number ? \nOptions: a ) 21 , b ) 20 , c ) 25 , d ) 36 , e ) 45", "output": [ "d" ] }, { "id": "task1420-c22481a96c684cf28bdd797d8a721e41", "input": "Problem: it takes 30 days to fill a laboratory dish with bacteria . if the size of the bacteria doubles each day , how long did it take for the bacteria to fill one sixteenth of the dish ? \nOptions: a ) 16 days , b ) 26 days , c ) 27 days , d ) 28 days , e ) 29 days", "output": [ "b" ] }, { "id": "task1420-41e83d057dea46fc95e76eb3b2335e3a", "input": "Problem: a straight line in the xy - plane has a slope of 2 and a y - intercept of 2 . on this line , what is the x - coordinate of the point whose y - coordinate is 520 ? \nOptions: a ) 259 , b ) 498 , c ) 676 , d ) 823 , e ) 1,002", "output": [ "a" ] }, { "id": "task1420-c06877af97524ae5ad730c63427c5087", "input": "Problem: every year an amount increases by 1 / 8 th of itself . how much will it be after two years if its present value is rs . 1600 ? \nOptions: a ) 3000 , b ) 4200 , c ) 2025 , d ) 1205 , e ) 3251", "output": [ "c" ] }, { "id": "task1420-ab3ba5e57eea4e8e99ee9fc10df99139", "input": "Problem: the average age of 15 students of a class is 15 years . out of these , the average age of 6 students is 14 years and that of the other 8 students is 16 years . the age of the 15 th student is \nOptions: a ) 9 years , b ) 13 years , c ) 14 years , d ) 21 years , e ) 25 years", "output": [ "b" ] }, { "id": "task1420-184e8676159340bb862e04dbb189671a", "input": "Problem: if 6 x ^ 2 + x - 12 = ( ax + w ) ( cx + d ) , then | a | + | w | + | c | + | d | = for a complete solution and more practice problems , see this blog : http : / / magoosh . com / gmat / 2012 / algebra - on . . . to - factor / \nOptions: a ) 10 , b ) 12 , c ) 15 , d ) 18 , e ) 20", "output": [ "b" ] }, { "id": "task1420-8d572a56908248c4bcb653a2daea994d", "input": "Problem: find the least number must be subtracted from 964807 so that remaining no . is divisible by 8 ? \nOptions: a ) 7 , b ) 6 , c ) 5 , d ) 4 , e ) 3", "output": [ "a" ] }, { "id": "task1420-be8339927e5441c6abed06aa6129c2e6", "input": "Problem: two digits in brother ' s age are the same as the digit in the sister ' s age , but in reverse order . in 20 9 years brother will be twice as old as sister will be then . what is the difference in their current age ? \nOptions: a ) 34 , b ) 50 , c ) 32 , d ) 28 , e ) 45", "output": [ "e" ] }, { "id": "task1420-10e46edb1eb94f1287ddc0da80e0a86c", "input": "Problem: a ( 7 , w ^ 3 ) is the ( x , y ) coordinate of point located on the parabola y = x ^ 2 + 15 . what is the value of w ? \nOptions: a ) 3 . , b ) 4 . , c ) 5 . , d ) 6 . , e ) 9 .", "output": [ "b" ] }, { "id": "task1420-ecb4bae5d71f49189237b42283389cb3", "input": "Problem: in the coordinate plane a slope of the line k is 3 times the y - intercept of the line k . what is the x - intercept of the line k ? \nOptions: a ) - 4 , b ) 4 , c ) - 1 / 4 , d ) - 1 / 3 , e ) 2", "output": [ "d" ] }, { "id": "task1420-c97318a0fb3141e3a9aa99e36be3bc95", "input": "Problem: the largest four digit number which is a multiple of 8 , 10,12 and 15 is : \nOptions: a ) 9960 , b ) 9950 , c ) 9940 , d ) 9930 , e ) 9920", "output": [ "a" ] }, { "id": "task1420-61cc88cb6af9407f9822e06d81706d1f", "input": "Problem: an analysis of the monthly incentives received by 5 salesmen : the mean and median of the incentives is $ 7000 . the only mode among the observations is $ 12000 . incentives paid to each salesman were in full thousands . what is the difference z between the highest and the lowest incentive received by the 5 salesmen in the month ? \nOptions: a ) $ 4000 , b ) $ 5000 , c ) $ 9000 , d ) $ 11000 , e ) $ 13000", "output": [ "d" ] }, { "id": "task1420-cb66214fcbf24dea871f8ecf55b983ea", "input": "Problem: what is the units digit of ( 3 ^ 5 ) ( 4 ^ 13 ) ? \nOptions: a ) 2 , b ) 4 , c ) 6 , d ) 7 , e ) 8", "output": [ "a" ] }, { "id": "task1420-b135b12e047f453e900bb8cd252c873f", "input": "Problem: every student in a room is either a junior or a senior . there is at least one junior and at least one senior in the room . if 4 / 5 of the juniors is equal to 1 / 2 of the seniors , what fraction of the students in the room are juniors ? \nOptions: a ) 13 / 20 , b ) 11 / 3 , c ) 5 / 13 , d ) 12 / 17 , e ) 17 / 20", "output": [ "c" ] }, { "id": "task1420-0f77056d79584b08953bc13b725325e7", "input": "Problem: the sum of all the integers d such that - 26 < d < 24 is \nOptions: a ) 0 , b ) - 2 , c ) - 25 , d ) - 49 , e ) - 51", "output": [ "d" ] }, { "id": "task1420-a1c092c2d50c4c52982a70a2656c908c", "input": "Problem: at 1 : 00 pm , there were 10.0 grams of bacteria . the bacteria increased to x grams at 4 : 00 pm , and 19.6 grams at 7 : 00 pm . if the amount of bacteria present increased by the same fraction during each of the 3 - hour periods , how many grams of bacteria were present at 4 : 00 pm ? \nOptions: a ) 13.7 , b ) 14.0 , c ) 14.3 , d ) 14.6 , e ) 14.9", "output": [ "b" ] }, { "id": "task1420-ff959b4493974cee9d571850d55dc3c0", "input": "Problem: 12 chess players take part in a tournament . every player plays twice with each of his opponents . how many games are to be played ? \nOptions: a ) 190 , b ) 132 , c ) 210 , d ) 220 , e ) 225", "output": [ "b" ] }, { "id": "task1420-27e153d7b1114a159e128849cf0b8308", "input": "Problem: what is the dividend . divisor 19 , the quotient is 9 and the remainder is 5 ? \nOptions: a ) a ) 130 , b ) b ) 134 , c ) c ) 148 , d ) d ) 176 , e ) e ) 160", "output": [ "d" ] }, { "id": "task1420-1959d4f401d94b60af078f44d3f01a15", "input": "Problem: if taxi fares were $ 1.00 for the first 1 / 5 mile and $ 0.45 for each 1 / 5 mile there after , then the taxi fare for a 3 - mile ride was \nOptions: a ) $ 1.56 , b ) $ 2.40 , c ) $ 3.80 , d ) $ 4.20 , e ) $ 7.30", "output": [ "e" ] }, { "id": "task1420-de4b6cde12e04baa918c513ac9435f7e", "input": "Problem: the sum of the present age of henry and jill is 33 . what is their present ages if 6 years ago henry was twice the age of jill ? \nOptions: a ) and 20 , b ) and 24 , c ) and 22 , d ) and 29 , e ) of these", "output": [ "a" ] }, { "id": "task1420-56a67f82a8ea4c779c99987935c197ad", "input": "Problem: the digit sum of the year 2007 is 2 + 0 + 0 + 7 = 9 , which is a square number . how many years during the 20 - first century have a square digital sum ? \nOptions: a ) 13 , b ) 14 , c ) 15 , d ) 16 , e ) 17", "output": [ "d" ] }, { "id": "task1420-03d06145ecd14f7cabf4955b29bcded2", "input": "Problem: the average runs scored by a batsman in 20 matches is 30 . in the next 10 matches the batsman scored an average of 15 runs . find his average in all the 30 matches ? \nOptions: a ) 25 , b ) 46 , c ) 88 , d ) 13 , e ) 12", "output": [ "a" ] }, { "id": "task1420-e0d11e5262e046f590826310105478a2", "input": "Problem: the cricket team of 11 members is 27 yrs old & the wicket keeper is 3 yrs older . if the ages ofthese 2 are excluded , the average age of theremaining players is 1 year less than the average age of the whole team . what is the average age of the team ? \nOptions: a ) 21 , b ) 22 , c ) 23 , d ) 25 , e ) 24", "output": [ "e" ] }, { "id": "task1420-29a9576412bb448db7fea067e5910a80", "input": "Problem: how many multiples of 7 are there between 700 and 1000 , inclusive ? \nOptions: a ) 43 , b ) 42 , c ) 22 , d ) 21 , e ) 20", "output": [ "a" ] }, { "id": "task1420-3de0f79381cb4b1397442b5b8b46bd6c", "input": "Problem: 2525 * 9 \nOptions: a ) 22725 , b ) 25675 , c ) 22655 , d ) 27575 , e ) none of these", "output": [ "a" ] }, { "id": "task1420-5061d9a257644d7eaeacf7fe286a53e3", "input": "Problem: find the lowest common multiple of 25 , 35 and 50 . \nOptions: a ) 350 , b ) 420 , c ) 510 , d ) 320 , e ) 280", "output": [ "a" ] }, { "id": "task1420-8f3596ca4b3b4379a0fe33ef63cdbeaf", "input": "Problem: the prices of tea and coffee per kg were the same in june . in july the price of coffee shot up by 20 % and that of tea dropped by 10 % . if in july , a mixture containing equal quantities of tea and coffee costs 50 / kg . how much did a kg of coffee cost in june ? \nOptions: a ) 45 , b ) 40 , c ) 35 , d ) 47.61 , e ) 30", "output": [ "d" ] }, { "id": "task1420-11dfdbea68674839900c629eb5790917", "input": "Problem: if a ^ 2 + b ^ 2 = 25 and ab = 10 , what is the value of the expression ( a - b ) ^ 2 + ( a + b ) ^ 2 ? \nOptions: a ) 10 , b ) 20 , c ) 30 , d ) 50 , e ) 70", "output": [ "d" ] }, { "id": "task1420-0cca045a81084d60a6563bab2c75db1c", "input": "Problem: a batsman scored 140 runs which included 3 boundaries and 8 sixes . what percent of his total score did he make by running between the wickets ? \nOptions: a ) 50 % , b ) 40 % , c ) 60 % , d ) 57 % , e ) 80 %", "output": [ "d" ] }, { "id": "task1420-deb15a3927aa46b094a0a971a60859b2", "input": "Problem: how many 4 digit odd numbers do not use any digit more than once \nOptions: a ) 1720 , b ) 2160 , c ) 224 , d ) 2460 , e ) none of these", "output": [ "e" ] }, { "id": "task1420-da266f0f383e4a68ba26e2700cecf93b", "input": "Problem: what is the dividend . divisor 16 , the quotient is 8 and the remainder is 4 \nOptions: a ) 127 , b ) 128 , c ) 130 , d ) 131 , e ) 132", "output": [ "e" ] }, { "id": "task1420-e5ba9f4909e74e84a3c0bb9262434696", "input": "Problem: on a partly cloudy day , milton decides to walk back from work . when it is sunny , he walks at a speed of s miles / hr ( s is an integer ) and when it gets cloudy , he increases his speed to ( s + 1 ) miles / hr . if his average speed for the entire distance is 2.8 miles / hr , what fraction of the total distance did he cover while the sun was shining on him ? \nOptions: a ) 1 / 5 , b ) 1 / 6 , c ) 1 / 4 , d ) 1 / 7 , e ) 1 / 3", "output": [ "d" ] }, { "id": "task1420-48343b5f352d45a3823a7dc35dece161", "input": "Problem: what is the sum of all possible solutions to | x - 3 | ^ 2 + | x - 3 | = 30 ? \nOptions: a ) 4 , b ) 5 , c ) 3 , d ) 2 , e ) 1", "output": [ "b" ] }, { "id": "task1420-d4754fb7ce8f419798432107dd437a53", "input": "Problem: what is value of x if 32 - y = 16 x - y ? \nOptions: a ) 1 , b ) 3 , c ) 4 , d ) 2 , e ) 6", "output": [ "d" ] }, { "id": "task1420-1f8158bf64b44196b3245c2bf8c795e4", "input": "Problem: at a certain restaurant , the price of a sandwich is $ 4.00 more than the price of a cup of coffee . if the price of a sandwich and a cup of coffee is $ 7.35 , including a sales tax of 5 % , what is the price of a cup of coffee , excluding the sales tax ? \nOptions: a ) $ 1.50 , b ) $ 3.00 , c ) $ 4.00 , d ) $ 5.50 , e ) $ 7.00", "output": [ "a" ] }, { "id": "task1420-9e0873b7de8d41b391d03065091626cb", "input": "Problem: mr . kramer , the losing candidate in a two - candidate election , received 942,568 votes , which was exactly 30 percent of all votes cast . approximately what percent of the remaining votes would he need to have received in order to have won at least 50 percent of all the votes cast ? \nOptions: a ) 10 % , b ) 12 % , c ) 15 % , d ) 29 % , e ) 20 %", "output": [ "d" ] }, { "id": "task1420-f88d5e7986a14956bf74c323cc232294", "input": "Problem: the mean of 50 observations was 36 . it was found later that an observation 48 was wrongly taken as 23 . the corrected new mean is : \nOptions: a ) 36.5 , b ) 35 , c ) 34 , d ) 33 , e ) 32.5", "output": [ "a" ] }, { "id": "task1420-2d57f2c950eb443494bdbcd8ddb6416d", "input": "Problem: if two positive numbers are in the ratio 1 / 9 : 1 / 7 , then by what percent is the second number more than the first ? \nOptions: a ) 67 % . , b ) 70 % . , c ) 60 % . , d ) 28.6 % . , e ) 80 % .", "output": [ "d" ] }, { "id": "task1420-13f31720e1b7466da7caec0079c29925", "input": "Problem: the sum of the squares of three numbers is 138 , while the sum of their products taken two at a time is 131 . their sum is \nOptions: a ) 15 , b ) 20 , c ) 25 , d ) 35 , e ) 45", "output": [ "b" ] }, { "id": "task1420-9e746dcd91f843b283443747cc0993eb", "input": "Problem: if the average ( arithmetic mean ) of 4 x - 5 , 8 x - 6 , and 9 x + 5 is 279 , what is the value of x ? \nOptions: a ) 18 , b ) 25 , c ) 27 , d ) 29 , e ) 31", "output": [ "c" ] }, { "id": "task1420-3b78a41a5fd64ff19681164b4c44dc1a", "input": "Problem: a vessel of capacity 2 litre has 25 % of alcohol and another vessel of capacity 6 litre had 40 % alcohol . the total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water . what is the new concentration of mixture ? \nOptions: a ) 31 % . , b ) 71 % . , c ) 49 % . , d ) 29 % . , e ) 51 % .", "output": [ "d" ] }, { "id": "task1420-ac9499479511437ab23ca45d0942e9d3", "input": "Problem: an exam consists of 7 true / false questions . brian forgets to study , so he must guess blindly on each question . if any score above 70 % is a passing grade , what is the probability that brian passes ? \nOptions: a ) 1 / 16 , b ) 37 / 256 , c ) 1 / 2 , d ) 219 / 256 , e ) 15 / 16", "output": [ "d" ] }, { "id": "task1420-404a74ec0df24488ba57046af62afd6e", "input": "Problem: a grocer has a sale of rs . 5921 , rs . 5468 , rs . 5568 , rs . 6088 and rs . 6433 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 5900 ? \nOptions: a ) 4902 , b ) 4922 , c ) 5922 , d ) 5924 , e ) 5928", "output": [ "c" ] }, { "id": "task1420-dc206238012e4bd7922965d42560c731", "input": "Problem: one day a car rental agency rented 3 / 4 of its cars , including 2 / 3 of its cars with cd players . if 3 / 5 of its cars have cd players , what percent of the cars that were not rented had cd players ? \nOptions: a ) 1 / 2 , b ) 2 / 3 , c ) 3 / 4 , d ) 4 / 5 , e ) 5 / 6", "output": [ "d" ] }, { "id": "task1420-32828faba5e248b1975c69919682ff1a", "input": "Problem: a grocery shop has a sale of rs . 6635 , rs . 6927 , rs . 6855 , rs . 7230 and rs . 6562 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 6500 ? \nOptions: a ) 4857 , b ) 4184 , c ) 4012 , d ) 4791 , e ) 5291", "output": [ "d" ] }, { "id": "task1420-80ebd3a5c04a48a9a536bb486543e73d", "input": "Problem: if ( x + yi ) / i = ( 7 + 9 i ) , where x and y are real , what is the value of ( x + yi ) ( x - yi ) ? \nOptions: a ) 110 , b ) 120 , c ) 130 , d ) 140 , e ) 150", "output": [ "c" ] }, { "id": "task1420-62d0b0d7ebe44cebbf96ffd24c0bafb3", "input": "Problem: what is the smallest integer y for which 27 ^ y > 3 ^ 24 ? \nOptions: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 12", "output": [ "c" ] }, { "id": "task1420-3e57878053c64c789cf733c2b915688a", "input": "Problem: rates for having a manuscript typed at a certain typing service are $ 10 per page for the first time a page is typed and $ 5 per page each time a page is revised . if a certain manuscript has 100 pages , of which 30 were revised only once , 20 were revised twice , and the rest required no revisions , what was the total cost of having the manuscript typed ? \nOptions: a ) $ 1250 , b ) $ 1350 , c ) $ 1150 , d ) $ 1360 , e ) $ 1370", "output": [ "b" ] }, { "id": "task1420-d3831f3b2fdf4ff8812aa9cb3c24228a", "input": "Problem: the average age of a group of persons going for picnic is years . fifteen new persons with an average age of 15 years join the group on the spot due to which their average age becomes 15.5 years . the number of persons initially going for picnic is \nOptions: a ) 5 , b ) 10 , c ) 15 , d ) 40 , e ) 50", "output": [ "c" ] }, { "id": "task1420-f6353709cae44328808575e4dc4c5760", "input": "Problem: 4.036 divided by 0.04 gives \nOptions: a ) 1.009 , b ) 100.09 , c ) 10.9 , d ) none of these , e ) can not be determined", "output": [ "a" ] }, { "id": "task1420-2fd9e17fe246452e8c83ce2f687d6b01", "input": "Problem: if m and n are positive integers and m ^ 2 + n ^ 2 = 10 , what is the value of m ^ 3 + n ^ 3 ? \nOptions: a ) 28 , b ) 224 , c ) 320 , d ) 512 , e ) 1,600", "output": [ "a" ] }, { "id": "task1420-58ac0d01ec8642efac4fab60faa046f5", "input": "Problem: ( 3080 + 6160 ) / 28 \nOptions: a ) 380 , b ) 350 , c ) 330 , d ) 310 , e ) none of these", "output": [ "c" ] }, { "id": "task1420-b25f8379e518496fb5edf7c082172be2", "input": "Problem: a person travels from p to q a speed of 30 km / hr and returns by increasing his speed by 30 % . what is his average speed for both the trips ? \nOptions: a ) 33 , b ) 77 , c ) 48 , d ) 99 , e ) 34.5", "output": [ "e" ] }, { "id": "task1420-0264d7cb16d24e95b62de2bb4ee857fa", "input": "Problem: what is remainder of the division ( 1525 * 1527 * 1529 ) / 12 ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4", "output": [ "d" ] }, { "id": "task1420-0b815975db2a452aa01041ecfe0571f2", "input": "Problem: an equal number of desks and bookcases are to be placed along a library wall that is 15 meters long . each desk is 2 meters long , and each bookshelf is 1.5 meters long . if the maximum possible number of desks and bookcases are to be placed along the wall , then the space along the wall that is left over will be how many meters f long ? \nOptions: a ) 0.5 , b ) 1 , c ) 1.5 , d ) 2 , e ) 3", "output": [ "b" ] }, { "id": "task1420-a94f07b33ec34502bbb2fa45b3e2a542", "input": "Problem: paul ' s income is 20 % less than rex ' s income , quentin ' s income is 20 % less than paul ' s income , and sam ' s income is 40 % less than paul ' s income . if rex gave 60 % of his income to sam and 40 % of his income to quentin , quentin ' s new income would be what fraction of sam ' s new income ? \nOptions: a ) 26 / 27 , b ) 13 / 17 , c ) 13 / 19 , d ) 12 / 19 , e ) 11 / 19", "output": [ "a" ] }, { "id": "task1420-9a93aaf295774c05a9b193374fec181e", "input": "Problem: if two of the 4 expressions x + y , x + 5 y , x - y , 5 x + y are chosen at random , what is the probability that their product will be of the form of x ^ 2 - ( by ) ^ 2 , where b is an integer ? \nOptions: a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 4 , d ) 1 / 5 , e ) 1 / 6", "output": [ "e" ] }, { "id": "task1420-a99eaabc82a0453eae767d5efa3505eb", "input": "Problem: if x and y are positive integers and 9 + x + y + xy = 23 , what is the value of x + y ? \nOptions: a ) 3 , b ) 5 , c ) 6 , d ) 8 , e ) 9", "output": [ "c" ] }, { "id": "task1420-835c2f1763894058b3292331b470ef6d", "input": "Problem: a company has 15 managers and 75 associates . the 15 managers have an average salary of $ 90,000 . the 75 associates have an average salary of $ 30,000 . what is the average salary for the company ? \nOptions: a ) $ 35,000 , b ) $ 40,000 , c ) $ 55,000 , d ) $ 65,000 , e ) $ 75,000", "output": [ "b" ] }, { "id": "task1420-383c23edad904a898b010dc806b1dc04", "input": "Problem: in a certain quiz that consists of 10 questions , each question after the first is worth 4 points more than the preceding question . if the 10 questions on the quiz are worth a total of 300 points , how many points is the third question worth ? \nOptions: a ) 22 , b ) 24 , c ) 26 , d ) 20 , e ) 28", "output": [ "d" ] }, { "id": "task1420-5c489a8774db457880ae01d432993b42", "input": "Problem: what is the units digit of ( 5 ! * 4 ! + 6 ! * 5 ! ) / 2 ? \nOptions: a ) 4 , b ) 3 , c ) 0 , d ) 1 , e ) 2", "output": [ "c" ] }, { "id": "task1420-6fcb7093bcf1479fbf79e85609bc0315", "input": "Problem: a sum of money is sufficient to pay p ' s wages for 24 days and q ' s wages for 40 days . the same money is sufficient to pay the wages of both for ? \nOptions: a ) 12 , b ) 13 , c ) 14 , d ) 15 , e ) 16", "output": [ "d" ] }, { "id": "task1420-9b1c8c7ee64b4e83a3f64c654855ecb6", "input": "Problem: what is the value of ( p + q ) / ( p - q ) if p / q is 5 ? \nOptions: a ) 4 / 3 , b ) 3 / 2 , c ) 2 / 6 , d ) 7 / 8 , e ) 8 / 7", "output": [ "b" ] }, { "id": "task1420-6e56df73ae0445108afba4d7a472920a", "input": "Problem: what is the remainder when 3 ^ 25 is divided by 5 ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4", "output": [ "d" ] }, { "id": "task1420-fc2b24e34a4140d899adce0235f56604", "input": "Problem: the smallest number which when diminished by 15 , is divisible 10 , 15 , 25 , 30 and 35 is : \nOptions: a ) 1008 , b ) 1055 , c ) 1022 , d ) 1032 , e ) 1048", "output": [ "b" ] }, { "id": "task1420-1bbd34a5ad964541b3891ebcd4bb8b80", "input": "Problem: for what value of x , is | x – 5 | + | x + 4 | + | x | = 14 ? \nOptions: a ) 0 , b ) 3 , c ) 4 , d ) - 4 , e ) 5", "output": [ "e" ] }, { "id": "task1420-04d8b4e68af94afd9ce77fa691382f73", "input": "Problem: in 1950 , richard was 4 times as old as robert . in 1955 , richard was 3 times as old as robert . in which year was richard 1.25 as old as robert ? \nOptions: a ) 1960 , b ) 1965 , c ) 1970 , d ) 2050 , e ) 2060", "output": [ "e" ] }, { "id": "task1420-36f8e7d0e90e45b8a69b5574c6733257", "input": "Problem: a set consists of 15 numbers , all are even or multiple of 5 . if 8 numbers are even and 10 numbers are multiple of 5 , how many numbers is multiple of 10 ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 5", "output": [ "d" ] }, { "id": "task1420-f68b2698ebfd41d38857ef9d8eab6e5e", "input": "Problem: if 0.75 : x : : 5 : 9 , then x is equal to : \nOptions: a ) 1.12 , b ) 1.16 , c ) 1.2 , d ) 1.35 , e ) none of these", "output": [ "d" ] }, { "id": "task1420-7f8545de328246c2afc8b1b9089bf125", "input": "Problem: the population of a city increases by 7 % per year but due to migration it decrease by 1 % per years . what will be the percentage increase in population in 3 years ? \nOptions: a ) 9 % , b ) 9.10 % , c ) 27 % , d ) 12 % , e ) none of these", "output": [ "b" ] }, { "id": "task1420-af4f3b55616641bcb7f954e3af066cd5", "input": "Problem: what is the sum of all digits for the number 10 ^ 29 - 41 ? \nOptions: a ) 257 , b ) 242 , c ) 231 , d ) 202 , e ) 187", "output": [ "a" ] }, { "id": "task1420-79531946f8334de9b43730294e98f5dd", "input": "Problem: if josh , doug , and brad have a total of $ 68 between them , and josh has two times as much money as brad but only 3 - fourths as much as doug , how much money does doug have ? \nOptions: a ) $ 8 , b ) $ 9 , c ) $ 27 , d ) $ 32 , e ) $ 36", "output": [ "d" ] }, { "id": "task1420-8a1237b101254a8e90899931c976c268", "input": "Problem: how many integers between 263,205 and 658,805 have tens digit 1 and units digit 3 ? \nOptions: a ) 3,955 , b ) 3,925 , c ) 3,956 , d ) 3,926 , e ) 3,915", "output": [ "c" ] }, { "id": "task1420-dff66ba666d042fbac0ae5d832644eb3", "input": "Problem: when the positive integer x is divided by 9 , the remainder is 5 . what is the remainder when 8 x is divided by 9 ? \nOptions: a ) 0 , b ) 1 , c ) 3 , d ) 4 , e ) 6", "output": [ "d" ] }, { "id": "task1420-05b510ada34d44a299acb2a9dcc8ea9b", "input": "Problem: a “ palindromic integer ” is an integer that remains the same when its digits are reversed . so , for example , 43334 and 516615 are both examples of palindromic integers . how many 6 - digit palindromic integers are both even and greater than 500,000 ? \nOptions: a ) 160 , b ) 200 , c ) 240 , d ) 300 , e ) 480", "output": [ "b" ] }, { "id": "task1420-b894ddff96114910b8892c0b7260bfdf", "input": "Problem: the average weight of 8 persons increases by 1.5 kg . if a person weighing 65 kg is replaced by a new person , what could be the weight of the new person ? \nOptions: a ) 76 kg , b ) 77 kg , c ) 76.5 kg , d ) data inadequate , e ) none of these", "output": [ "b" ] }, { "id": "task1420-182a707aadff4218950248fbdc8d5d9c", "input": "Problem: the population of locusts in a certain swarm doubles every two hours . if 4 hours ago there were 1,000 locusts in the swarm , in approximately how many hours will the swarm population exceed 128,000 locusts ? \nOptions: a ) 12 , b ) 8 , c ) 4 , d ) 10 , e ) 16", "output": [ "d" ] }, { "id": "task1420-3fa4065c016544299e0c7c084d1dfa4d", "input": "Problem: the average salary of all the workers in a workshop is rs . 8000 . the average salary of 7 technicians is rs . 20000 and the average salary of the rest is rs . 6000 . the total number of workers in the workshop is \nOptions: a ) 20 , b ) 49 , c ) 22 , d ) 23 , e ) none", "output": [ "b" ] }, { "id": "task1420-485be9673f0043f39d80b8bfdcc86983", "input": "Problem: in the faculty of reverse - engineering , 226 second year students study numeric methods , 423 second year students study automatic control of airborne vehicles and 134 second year students study them both . how many students are there in the faculty if the second year students are approximately 70 % of the total ? \nOptions: a ) 515 . , b ) 545 . , c ) 618 . , d ) 644 . , e ) 736 .", "output": [ "e" ] }, { "id": "task1420-87deb48b9f3b47d3b81b06cbd2e05b0b", "input": "Problem: the average salary of all the workers in a workshop is rs . 8000 . the average salary of 9 technicians is rs . 18000 and the average salary of the rest is rs . 6000 . the total number of workers in the workshop is : \nOptions: a ) 22 , b ) 54 , c ) 88 , d ) 37 , e ) 29", "output": [ "b" ] }, { "id": "task1420-97588ebc49234e279f72b6daa670b531", "input": "Problem: ( 3 x + 2 ) ( 2 x - 1 ) = ax ^ 2 + kx + n . what is the value of a - n + k ? \nOptions: a ) 5 , b ) 8 , c ) 9 , d ) 10 , e ) 11", "output": [ "c" ] }, { "id": "task1420-ed0546a444cc4f75beebdff06c544278", "input": "Problem: how many distinct integer values of n satisfy the inequality | | n - 3 | + 4 | ≤ 14 ? \nOptions: a ) 15 , b ) 12 , c ) 17 , d ) 18 , e ) 19", "output": [ "b" ] }, { "id": "task1420-e7b0379ca1ca4d2c91edba0fda0f91fe", "input": "Problem: a number of 41 marbles is to be divided and contain with boxes . if each box is to contain 3 , 4 , or 5 marbles , what is the largest possible number of boxes ? \nOptions: a ) 13 , b ) 12 , c ) 15 , d ) 16 , e ) 17", "output": [ "a" ] }, { "id": "task1420-21bf9b619e2d4d658c7f8e2ce2d7f801", "input": "Problem: running at their respective constant rates , machine x takes 2 days longer to produce w widgets than machine y . at these rates , if the two machines together produce 5 / 4 w widgets in 3 days , how many days would it take machine x alone to produce 4 w widgets ? \nOptions: a ) 4 , b ) 6 , c ) 8 , d ) 24 , e ) 12", "output": [ "d" ] }, { "id": "task1420-2aebe1fa0a1e42c3a783a37564ad4e44", "input": "Problem: x and y are two towns . ganesh covers the distance from x to y at an average speed of 43 km / hr . however , he covers the distance from y to x at an average speed of 34 km / hr . his average speed during the whole journey in km / hr . is : \nOptions: a ) 34 , b ) 43 , c ) 40 , d ) 38 , e ) 29", "output": [ "d" ] }, { "id": "task1420-557e62a0f448417d8dba4a5ab320a9ef", "input": "Problem: find the value of x . ( 47 % of 1442 - 36 % of 1412 ) + 63 = x ? \nOptions: a ) 1 , b ) 5 , c ) 3 , d ) 6 , e ) 7", "output": [ "c" ] }, { "id": "task1420-b9b1d9336d304b8196c5fd3a169cdac7", "input": "Problem: find the number which is nearest to 3105 and is exactly divisible by 21 \nOptions: a ) 1208 , b ) 3108 , c ) 241 , d ) 217 , e ) 3147", "output": [ "b" ] }, { "id": "task1420-862d834f44be4805a8e0624f5a48d4c1", "input": "Problem: a number is increased by 70 % and then decreased by 70 % . find the net increase or decrease per cent . \nOptions: a ) 49 % , b ) 18 % , c ) 17 % , d ) 13 % , e ) 16 %", "output": [ "a" ] }, { "id": "task1420-6985494786624dc280998cf085e5af9b", "input": "Problem: the average age of applicants for a new job is 31 , with a standard deviation of 9 . the hiring manager is only willing to accept applications whose age is within one standard deviation of the average age . what is the maximum number of different ages of the applicants ? \nOptions: a ) 8 , b ) 14 , c ) 15 , d ) 18 , e ) 19", "output": [ "e" ] }, { "id": "task1420-86af53c2e7174188b52c730300cdf543", "input": "Problem: how many unique positive odd integers less than 60 are equal to the product of a positive multiple of 5 and an odd number ? \nOptions: a ) 4 , b ) 6 , c ) 11 , d ) 12 , e ) 15", "output": [ "b" ] }, { "id": "task1420-0b147fae03d849ef811751dcaf967d18", "input": "Problem: a number of 53 marbles is to be divided and contain with boxes . if each box is to contain 3 , 4 , or 5 marbles , what is the largest possible number of boxes ? \nOptions: a ) 10 , b ) 12 , c ) 15 , d ) 16 , e ) 17", "output": [ "e" ] }, { "id": "task1420-88cdf6790f2e4155a30bd354d68e92ba", "input": "Problem: a student chose a number , multiplied it by 2 , then subtracted 140 from the result and got 102 . what was the number he chose ? \nOptions: a ) 90 , b ) 100 , c ) 120 , d ) 160 , e ) 121", "output": [ "e" ] }, { "id": "task1420-163969ec83c742ebbd5bf12a8c7e8e49", "input": "Problem: rahim bought 50 books for rs . 1000 from one shop and 40 books for rs . 800 from another . what is the average price he paid per book ? \nOptions: a ) 28 , b ) 20 , c ) 27 , d ) 29 , e ) 21", "output": [ "b" ] }, { "id": "task1420-b8d0f1099695441b8e4955a1f39e10d8", "input": "Problem: for a certain exam , a score of 58 was 2 standard deviations below mean and a score of 98 was 3 standard deviations above mean . what was the mean score r for the exam ? \nOptions: a ) 74 , b ) 76 , c ) 78 , d ) 80 , e ) 82", "output": [ "a" ] }, { "id": "task1420-7a0e68caa06a4e6ba8766117d7244329", "input": "Problem: the sum of the ages of 5 children born at the intervals of 3 year each is 60 year . what is the age of the eldest child ? \nOptions: a ) 4 year , b ) 18 year , c ) 10 year , d ) none of these , e ) 9 year", "output": [ "b" ] }, { "id": "task1420-96e0a009624547108eea0013d587c0d6", "input": "Problem: what is the sum of the numbers between 1 and 12 , inclusive ? \nOptions: a ) 99 , b ) 65 , c ) 79 , d ) 78 , e ) 80", "output": [ "d" ] }, { "id": "task1420-b41b774540a048b39d2f04cfc8a71ba6", "input": "Problem: in a function , every person shakes hand with every other person . if there was a total of 28 handshakes in the function , how many persons were present in the function ? \nOptions: a ) 8 , b ) 7 , c ) 2 , d ) 6 , e ) 5", "output": [ "a" ] }, { "id": "task1420-34389ab61fd541eabc81a85c5fd73688", "input": "Problem: c and d started a business by investing rs . 1000 / - and rs . 1500 / - respectively . find the d ’ s share out of a total profit of rs . 500 : \nOptions: a ) 400 , b ) 300 , c ) 200 , d ) 100 , e ) 150", "output": [ "d" ] }, { "id": "task1420-64d4d658b3044ee7977ed67708141937", "input": "Problem: the “ s - number ” of a number x is defined as the ones digit of 2 ^ x . antony rolls a die with 6 sides labeled with the integers from 1 to 6 , each of which has an equal probability of landing face - up . he then takes 3 ^ s , where s is the s - number of the result of his die roll , and plots 3 ^ s on a number line as the point a . finally , he repeats this entire process , this time plotting the result as the point b . what is the probability that the distance between a and b is greater than the value of b ? \nOptions: a ) 3 / 8 , b ) 13 / 36 , c ) 17 / 36 , d ) 19 / 36 , e ) 23 / 36", "output": [ "b" ] }, { "id": "task1420-4c1b91ea25b44e13b8bca2dfc7e879a0", "input": "Problem: if ( x + 3 ) ^ 2 / ( 3 x + 65 ) = 2 , then the difference between the two possible values of x is : \nOptions: a ) 16 , b ) 18 , c ) 20 , d ) 22 , e ) 24", "output": [ "d" ] }, { "id": "task1420-17ecdcc5dc2f414f9383927431c11897", "input": "Problem: the value of 99 ^ ( 91 / 99 ) x 99 is : \nOptions: a ) 9989 , b ) 9896 , c ) 9892 , d ) 9809 , e ) 9810", "output": [ "c" ] }, { "id": "task1420-74abeef19a9e46b080fc63fb91e5feb3", "input": "Problem: a store reported total sales of $ 460 million for february of this year . if the total sales for the same month last year was $ 320 million , approximately what was the percent increase in sales ? \nOptions: a ) 2 % , b ) 17 % , c ) 44 % , d ) 65 % , e ) 83 %", "output": [ "c" ] }, { "id": "task1420-4fd39defafdb41228c27c5f167568bed", "input": "Problem: for any integer k greater than 1 , the symbol k * denotes the product of all the fractions of the form 1 / t , where t is an integer between 1 and k , inclusive . what is the value of 1 * / 4 * ? \nOptions: a ) 5 , b ) 5 / 4 , c ) 4 / 5 , d ) 1 / 4 , e ) 1 / 5", "output": [ "a" ] }, { "id": "task1420-2ebc620a8214425eaf106b8d222b430d", "input": "Problem: ashok secured average of 77 marks in 6 subjects . if the average of marks in 5 subjects is 74 , how many marks did he secure in the 6 th subject ? \nOptions: a ) 38 , b ) 27 , c ) 92 , d ) 17 , e ) 80", "output": [ "c" ] }, { "id": "task1420-d22b3ada89f84befae477fddf458155e", "input": "Problem: the average of first seven prime numbers which are between 30 and 70 is \nOptions: a ) 35.4 , b ) 42 , c ) 44.4 , d ) 57 , e ) 67", "output": [ "c" ] }, { "id": "task1420-5e14933bc6134cd6a52ea5932dd1b13a", "input": "Problem: the price of commodity p increases by 40 paise every year , while the price of commodity q increases by 15 paise every year . if in 2001 , the price of commodity p was rs . 4.20 and that of q was rs . 6.30 , in which year commodity p will cost 40 paise more than the commodity q ? \nOptions: a ) 2008 , b ) 2009 , c ) 2010 , d ) 2011 , e ) 2012", "output": [ "d" ] }, { "id": "task1420-6b189947934d4460b0e097f2ca90da2b", "input": "Problem: at a certain food stand , the price of each apple is 40 ¢ and the price of each orange is 60 ¢ . mary selects a total of 10 apples and oranges from the food stand , and the average ( arithmetic mean ) price of the 10 pieces of fruit is 54 ¢ . how many oranges must mary put back so that the average price of the pieces of fruit that she keeps is 50 ¢ ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "d" ] }, { "id": "task1420-7fb1778da41d475f87ad9ad94a301222", "input": "Problem: of the 150 people at a party , 70 were women , and 30 women tried the appetizer . if 60 people did not try the appetizer , what is the total number of men who tried the appetizer ? \nOptions: a ) 40 , b ) 50 , c ) 60 , d ) 70 , e ) 80", "output": [ "c" ] }, { "id": "task1420-ad504f9e34f54e749b9b65f19950601e", "input": "Problem: the ratio of the present ages of ramesh and mahesh is 2 : 5 . 10 years hence , the ratio of their ages will be 10 : 15 . find the difference in their present ages ? \nOptions: a ) 7.5 , b ) 6 , c ) 5.5 , d ) 6.5 , e ) 5", "output": [ "a" ] }, { "id": "task1420-9cff6ce9b43f4da5a299f482b643e8eb", "input": "Problem: 2.205 divided by 0.3 gives \nOptions: a ) 7.35 , b ) 6.25 , c ) 8.15 , d ) 6.95 , e ) none of these", "output": [ "a" ] }, { "id": "task1420-a1ba8ba1ed484d97bff8d257792f84a5", "input": "Problem: average expenditure of a person for the first 3 days of a week is rs . 350 and for the next 4 days is rs . 420 . average expenditure of the man for the whole week is : \nOptions: a ) 350 , b ) 370 , c ) 390 , d ) 430 , e ) none", "output": [ "c" ] }, { "id": "task1420-9d79cca005514613bc9bc4bb31368f91", "input": "Problem: the average price of an decoration piece increases over the years . if from 1990 to 1996 , the price of the decoration piece increased by 13 % and from 1996 to 2001 it increased by 20 % , what is the price of the decoration piece in 2001 if the price in 1990 was $ 11500 ? \nOptions: a ) $ 15594 . , b ) $ 15322 . , c ) $ 14786 . , d ) $ 14543 . , e ) $ 12988 .", "output": [ "a" ] }, { "id": "task1420-d6ebe89649cb4f9782419db17ba984c9", "input": "Problem: how many positive integer solutions does the equation 2 x + 3 y = 100 have ? \nOptions: a ) 50 , b ) 33 , c ) 16 , d ) 35 , e ) 14", "output": [ "c" ] }, { "id": "task1420-fee3e31e8c514d93ae5770dd8ff339f1", "input": "Problem: if x + y = 300 , x - y = 200 , for integers of x and y , y = ? \nOptions: a ) 200 , b ) 250 , c ) 50 , d ) 115 , e ) 150", "output": [ "b" ] }, { "id": "task1420-5ffd366cfb6949c88c9fd39a294cd592", "input": "Problem: the average age of an adult class is 40 years . 12 new students with an avg age of 34 years join the class . therefore decreasing the average by 4 years . find what was the original average age of the class ? \nOptions: a ) 6 , b ) 12 , c ) 16 , d ) 20 , e ) 22", "output": [ "a" ] }, { "id": "task1420-8086fab5c20d44e89993f4f2ef2bbd14", "input": "Problem: salesperson a ' s compensation for any week is $ 210 plus 6 percent of the portion of a ' s total sales above $ 1,000 for that week . salesperson b ' s compensation for any week is 8 percent of b ' s total sales for that week . for what amount of total weekly sales would both salespeople earn the same compensation ? \nOptions: a ) $ 3500 , b ) $ 5500 , c ) $ 7500 , d ) $ 9500 , e ) $ 11,500", "output": [ "c" ] }, { "id": "task1420-378451dd9fad462b943dc1036bccc917", "input": "Problem: the difference between the place values of 9 and 4 in the number 927435 is \nOptions: a ) 899600 , b ) 856200 , c ) 875200 , d ) 896200 , e ) none", "output": [ "a" ] }, { "id": "task1420-f1f667fdef9f4366bd137870449b805a", "input": "Problem: if 1 / ( x + 4 ) + 1 / ( x - 4 ) = 1 / ( x - 4 ) , what is the value of x ? \nOptions: a ) 5 , b ) 4 , c ) 1 , d ) 2 , e ) 3", "output": [ "b" ] }, { "id": "task1420-44d2ec7137824279be9b5df5d7a9b0f8", "input": "Problem: solve the equation for x : 19 ( x + y ) + 17 = 19 ( - x + y ) - 21 ? \nOptions: a ) - 1 , b ) 77 , c ) 8 , d ) 3 , e ) 2", "output": [ "a" ] }, { "id": "task1420-ecb9eb67a4fa4160abd235b901ed5ce3", "input": "Problem: if the average of 37 , 69 , 47 and x is 46.5 , what is x ? \nOptions: a ) 37 , b ) 41 , c ) 50 , d ) 59 , e ) 33", "output": [ "e" ] }, { "id": "task1420-51ff1767c33a48d7b6825d5fecccda95", "input": "Problem: when a person aged 39 is added to a group of n people , the average age increases by 2 . when a person aged 15 is added instead , the average age decreases by 1 . what is the value of q ? \nOptions: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11", "output": [ "a" ] }, { "id": "task1420-72380637b486400c96797abd2f2cb222", "input": "Problem: 20 percent of country y ' s yearly exports come from fruit exports . one - sixth of all fruit exports from country y are orange exports . if country y generates $ 4.25 million from its orange exports , how much money does it generate from its yearly total of exports ? \nOptions: a ) $ 21.25 m , b ) $ 25.5 m , c ) $ 106.25 m , d ) $ 127.5 m , e ) $ 153 m", "output": [ "d" ] }, { "id": "task1420-444ca3816572483b8e9e1b0c8f13f69f", "input": "Problem: if a certain toy store ' s revenue in november was 2 / 5 of its revenue in december and its revenue in january was 1 / 3 of its revenue in november , then the store ' s revenue in december was how many times the average ( arithmetic mean ) of its revenues in november and january ? \nOptions: a ) 5 / 3 , b ) 5 / 4 , c ) 10 / 3 , d ) 15 / 4 , e ) 15 / 2", "output": [ "d" ] }, { "id": "task1420-ccb220dad509495e83e8a6eb36acb5bc", "input": "Problem: if jake loses 12 pounds , he will weigh twice as much as his sister . together they now weigh 156 pounds . what is jake ’ s present weight , in pounds ? \nOptions: a ) 108 , b ) 135 , c ) 139 , d ) 147 , e ) 188", "output": [ "a" ] }, { "id": "task1420-7a30134475134e288506bb87f57ec0f7", "input": "Problem: a man has rs . 400 in the denominations of one - rupee notes , 5 - rupee notes and 10 rupee notes . the number of notes of each denomination is equal . what is the total number of notes that he has ? \nOptions: a ) 45 , b ) 60 , c ) 75 , d ) 90 , e ) 95", "output": [ "c" ] }, { "id": "task1420-0dcd9ca2e665409988d47a568e516e55", "input": "Problem: what will be the remainder when 8 - 3 + 3 ^ 5 + 2 ^ 10 is divided by 4 ? \nOptions: a ) 12 , b ) 3 , c ) 16 , d ) 0 , e ) 9", "output": [ "d" ] }, { "id": "task1420-b55a6402326e47379c7ff3999bc1645d", "input": "Problem: a certain list consists of 21 different numbers . if n is in the list and n is 6 times the average ( arithmetic mean ) of the other 20 numbers in the list , then n is what fraction of the sum of the 21 numbers in the list ? \nOptions: a ) 1 / 20 , b ) 1 / 6 , c ) 1 / 5 , d ) 3 / 13 , e ) 5 / 21", "output": [ "d" ] }, { "id": "task1420-2110e19dd62b40d9969f9b9fe6511554", "input": "Problem: the avg weight of a , b & c is 80 kg . if d joins the group , the avg weight of the group becomes 82 kg . if another man e who weights is 3 kg more than d replaces a , then the avgof b , c , d & e becomes 81 kg . what is the weight of a ? \nOptions: a ) 56 , b ) 65 , c ) 75 , d ) 89 , e ) 95", "output": [ "e" ] }, { "id": "task1420-ed8950dd80ea49cdb6a01251bd69f9f8", "input": "Problem: find a sum for first 6 prime number ' ss ? \nOptions: a ) 25 , b ) 28 , c ) 30 , d ) 35 , e ) 41", "output": [ "e" ] }, { "id": "task1420-7eb7c0dae07247d2b875120da963d5b2", "input": "Problem: of the 14,210 employees of the anvil factory , 3 / 7 are journeymen . if half of the journeymen were laid off , what percentage of the total remaining employees would be journeymen ? \nOptions: a ) 14.3 % , b ) 16.67 % , c ) 33 % , d ) 28.6 % , e ) 49.67 %", "output": [ "a" ] }, { "id": "task1420-4cdac26f0639496e87e9b5972d7cb7b2", "input": "Problem: if 5400 mn = k ^ 4 , where m , n , and k are positive integers , what is the least possible value of m + 2 n ? \nOptions: a ) 11 , b ) 18 , c ) 20 , d ) 25 , e ) 40", "output": [ "e" ] }, { "id": "task1420-d775bb897387417080455d1cd0266e1a", "input": "Problem: if a * b denotes the greatest common divisor of a and b , then ( ( 12 * 16 ) * ( 18 * 12 ) ) = ? \nOptions: a ) 24 , b ) 12 , c ) 6 , d ) 4 , e ) 2", "output": [ "e" ] }, { "id": "task1420-09aafba7f1c84d44948a43c26bbb2180", "input": "Problem: can you find the smallest non fractional number such that if the number gets divided by 6 , we get the remainder of 1 ; if the number gets divided by 7 , we get the remainder of 2 if the number gets divided by 8 , we get the remainder of 3 ; if the number gets divided by 9 , we get the remainder of 4 . \nOptions: a ) 1006 , b ) 1230 , c ) 1010 , d ) 1200 , e ) 1300", "output": [ "a" ] }, { "id": "task1420-61f6b23dd3f3443a88303311ec8667ec", "input": "Problem: a company that ships boxes to a total of 12 distribution centers uses color coding to identify each center . if either a single color or a pair of two different colors is chosen to represent each center and if each center is uniquely represented by that choice of one or two colors , what is the minimum number of colors needed for the coding ? ( assume that the order of the colors in a pair does not matter ) \nOptions: a ) 4 , b ) 5 , c ) 6 , d ) 12 , e ) 24", "output": [ "b" ] }, { "id": "task1420-eeec06ac89b043aeaaa40cc238ba0fee", "input": "Problem: a , b and c are partners . a receives 2 / 3 of profits , b and c dividing the remainder equally . a ' s income is increased by rs . 300 when the rate to profit rises from 5 to 7 percent . find the capital of a ? \nOptions: a ) 5000 , b ) 10000 , c ) 15000 , d ) 2778 , e ) 1991", "output": [ "c" ] }, { "id": "task1420-9ebc8675fc814f9cb24afe7ef55c0d31", "input": "Problem: the population of a town increased from 1 , 75,000 to 2 , 80,000 in a decade . the average percent increase of population per year is \nOptions: a ) 4.37 % , b ) 5 % , c ) 6 % , d ) 8.75 % , e ) none", "output": [ "c" ] }, { "id": "task1420-4d242ee2165e48a49210f8918ab34157", "input": "Problem: calculate the average of all the numbers between 10 and 86 which are divisible by 9 . \nOptions: a ) 49.5 , b ) 41.5 , c ) 45.5 , d ) 40.5 , e ) 47.5", "output": [ "a" ] }, { "id": "task1420-bc0bef82e1e44dec908a27f4054daa22", "input": "Problem: a train ride from two p to town q costs $ 2.35 more than does a bus ride from town p to town q . together , the cost of one train ride and one bus ride is $ 9.85 . what is the cost of a bus ride from town p to town q ? \nOptions: a ) $ 1.25 , b ) $ 2.50 , c ) $ 3.75 , d ) $ 4.70 , e ) $ 8.20", "output": [ "c" ] }, { "id": "task1420-9a1f1e0114f54803a154ac212bdfb30e", "input": "Problem: a cement mixture is composed of 3 elements . by weight , 1 / 2 of the mixture is sand , 1 / 5 of the mixture is water , and the remaining 15 pounds of the mixture is gravel . what is the weight of the entire mixture in pounds ? \nOptions: a ) 30 , b ) 40 , c ) 50 , d ) 60 , e ) 80", "output": [ "c" ] }, { "id": "task1420-ee6820d5ce0742ce981491c690320638", "input": "Problem: 13 ltr of water is added with 11 ltr of a solution containing 16 % of alcohol in the water . the % of alcohol in the new mixture is ? \nOptions: a ) 7.33 % , b ) 9 % , c ) 9.67 % , d ) 11 % , e ) 11.5 %", "output": [ "a" ] }, { "id": "task1420-21241a144089432b924aec79b27c6088", "input": "Problem: how many positive integers less than 254 are multiple of 4 but not multiples of 6 ? \nOptions: a ) 20 , b ) 31 , c ) 42 , d ) 43 , e ) 64", "output": [ "d" ] }, { "id": "task1420-43ecf20188db44e594e54404db0ec5b9", "input": "Problem: a certain car traveled twice as many miles from town a to town b as it did from town b to town c . from town a to town b , the car averaged 10 miles per gallon , and from town b to town c , the car averaged 18 miles per gallon . what is the average miles per gallon that the car achieved on its trip from town a through town b to town c ? \nOptions: a ) 13 , b ) 13.5 , c ) 14 , d ) 14.5 , e ) 15", "output": [ "d" ] }, { "id": "task1420-2868b0341c264bacad1a55c4344603ec", "input": "Problem: when positive integer n is divided by 5 , the remainder is 1 . when n is divided by 7 , the remainder is 3 . what is the smallest positive integer k such that k + n is a multiple of 36 ? \nOptions: a ) 3 , b ) 4 , c ) 12 , d ) 32 , e ) 5", "output": [ "e" ] }, { "id": "task1420-c13f7be28bd5424aab901dc7de47601d", "input": "Problem: if x is 20 percent greater than 80 , then x = \nOptions: a ) 68 , b ) 70.4 , c ) 96 , d ) 105.6 , e ) 108", "output": [ "c" ] }, { "id": "task1420-f90cc227448e4171afe21475879d1b00", "input": "Problem: for the past n days , the average ( arithmetic mean ) daily production at a company was 60 units . if today ' s production of 90 units raises the average to 65 units per day , what is the value of n ? \nOptions: a ) 30 , b ) 18 , c ) 10 , d ) 9 , e ) 5", "output": [ "e" ] }, { "id": "task1420-89990fb8b233455c866516860733064f", "input": "Problem: in a certain supermarket , a triangular display of cans is arranged in 9 rows , numbered 1 through 9 from top to bottom . each successively numbered row contains 3 more cans than the row immediately above it . if there are fewer than 120 cans in the entire display , how many cans are in the six row ? \nOptions: a ) 12 , b ) 14 , c ) 16 , d ) 18 , e ) 20", "output": [ "c" ] }, { "id": "task1420-cbb845e86f7b4c5cb72671fe2e6149dc", "input": "Problem: if 9 ^ y = 3 ^ 12 , what is y ? \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6", "output": [ "e" ] }, { "id": "task1420-f207a5ffdfd44379a33203263cc49b89", "input": "Problem: 0.99999 + 0.11111 = ? \nOptions: a ) 1 , b ) 1.0001 , c ) 1.0021 , d ) 1.111 , e ) 1.1111", "output": [ "e" ] }, { "id": "task1420-e1d975fffa7c42cb8a7cb91bb3c427ed", "input": "Problem: the average of 60 results is 40 and the average of other 40 results is 60 . what is the average of all the results ? \nOptions: a ) 24 , b ) 25 , c ) 48 , d ) 50 , e ) none", "output": [ "c" ] }, { "id": "task1420-3bdecd129e4e48efa8d265a11f53b7b6", "input": "Problem: in a urban village of india named ` ` owlna ' ' , 80 % people have refrigerator , 82 % people have television , 70 % people got computers and 75 % got air - conditionor . how many people ( minimum ) got all these luxury . \nOptions: a ) 3 % , b ) 8 % , c ) 7 % , d ) 10 % , e ) 15 %", "output": [ "c" ] }, { "id": "task1420-8b5aa4d598974392a679160b1a098add", "input": "Problem: find the value of x . ( 47 % of 1442 - 36 % of 1412 ) + 60 = x ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "a" ] }, { "id": "task1420-aa294443a72b4ce0a09c5d33ab2f76f1", "input": "Problem: if a : b = 4 : 7 and b : c = 5 : 9 , then a : c = ? \nOptions: a ) 28 : 37 , b ) 18 : 37 , c ) 16 : 53 , d ) 20 : 63 , e ) 15 : 48", "output": [ "d" ] }, { "id": "task1420-f401947aa0d849569468337e6165de6f", "input": "Problem: a large box contains 17 small boxes and each small box contains 25 chocolate bars . how many chocolate bars are in the large box ? \nOptions: a ) 250 , b ) 350 , c ) 425 , d ) 550 , e ) 650", "output": [ "c" ] }, { "id": "task1420-10248fdfa5054997b7bedbabd244eb12", "input": "Problem: an automobile parts supplier charges $ 25 per package of gaskets . when a customer orders more than 10 packages of gaskets , the supplier charges 4 / 5 the price for each package in excess of 10 . during a certain week , the supplier sold 50 packages of gaskets . if 20 percent of the gaskets went to company x , 15 percent to company y , and the rest to company z , what was the total amount , in dollars , that the parts supplier received in payment for the gaskets ? \nOptions: a ) 1105 , b ) 1245 , c ) 1275 , d ) 1215 , e ) 1150", "output": [ "e" ] }, { "id": "task1420-ebcc409c2d2546a5872845fb06f4122e", "input": "Problem: if [ x ] is the greatest integer less than or equal to x , what is the value of [ - 2.6 ] + [ 1.4 ] + [ 2.7 ] ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 6 , e ) 7", "output": [ "a" ] }, { "id": "task1420-a38339699d274df4bc6d3eade049eba9", "input": "Problem: two trains of equal length are running on parallel lines in the same directions at 46 km / hr . and 36 km / hr . the faster trains pass the slower train in 144 seconds . the length of each train is : \nOptions: a ) 82 m , b ) 150 m , c ) 172 m , d ) 200 m , e ) none of these", "output": [ "d" ] }, { "id": "task1420-d5f6d3c96d8d4ba79926b09f73fbcf92", "input": "Problem: the tax on a commodity is diminished by 20 % but its consumption is increased by 5 % . find the decrease percent in the revenue derived from it ? \nOptions: a ) 12 % , b ) 14 % , c ) 16 % , d ) 20 % , e ) 22 %", "output": [ "c" ] }, { "id": "task1420-fac2a171afae43af883563120807428d", "input": "Problem: a survey reveals that the average income of a company ’ s customers is $ 45000 per year . if 50 customers respond to the survey and the average income of the wealthiest 10 of those customers is $ 55000 , what is the average income of the other 40 customers ? is there a way to solve this using weighted average concept instead of doing tedious calculations ? \nOptions: a ) $ 27,500 , b ) $ 35,000 , c ) $ 37,500 , d ) $ 42,500 , e ) $ 50,000", "output": [ "d" ] }, { "id": "task1420-d9657e4603bd424197c9ad25140cc9a9", "input": "Problem: the prices of tea and coffee per kg were the same in june . in july the price of coffee shot up by 10 % and that of tea dropped by 20 % . if in july , a mixture containing equal quantities of tea and coffee costs 50 / kg . how much did a kg of coffee cost in june ? \nOptions: a ) 50 , b ) 45 , c ) 52.63 , d ) 40 , e ) 35", "output": [ "c" ] }, { "id": "task1420-724a306d0e564ed786a14634dd491da8", "input": "Problem: ( 700 + 200 ) ã — 4 ã — ( 4 + 2 ) = ? \nOptions: a ) 24500 , b ) 21600 , c ) 36600 , d ) 22400 , e ) 12500", "output": [ "b" ] }, { "id": "task1420-9a2aa2f7d9fa4517a9d45f52c36f3085", "input": "Problem: a retailer bought a hat at wholesale and marked it up 70 % to its initial price of $ 34 . by how many more dollars does he need to increase the price to achieve a 100 % markup ? \nOptions: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 10", "output": [ "c" ] }, { "id": "task1420-0bcd76fc56ee466c9282b90d19286ac9", "input": "Problem: the average of 50 numbers id 50 . if two numbers , namely 45 and 55 are discarded , the average of the remaining numbers is : \nOptions: a ) 22 , b ) 33 , c ) 22 , d ) 41 , e ) 50", "output": [ "e" ] }, { "id": "task1420-6302187265aa4771b81d31df998b1b88", "input": "Problem: what is the remainder when 7777 * 8888 * 101010 is divided by 33 \nOptions: a ) 110 , b ) 220 , c ) 330 , d ) 440 , e ) 550", "output": [ "b" ] }, { "id": "task1420-7775ee4b1d294f82a89aae90dcb236b6", "input": "Problem: the average speed of a car is 1 4 / 5 times the avg speed of a bike . a tractor covers 575 km in 23 hrs . how much distance will the car cover in 7 hrs if the speed of the bike is twice speed of the tractor ? \nOptions: a ) 400 km , b ) 500 km , c ) 360 km , d ) 550 km , e ) 630 km", "output": [ "e" ] }, { "id": "task1420-b756534347e04680bed695b312e43edc", "input": "Problem: the average of 10 numbers is 60 . out of 10 numbers the average of first 6 no . is 68 , and last 6 numbers is 75 then find 7 th number ? \nOptions: a ) a ) 78 , b ) b ) 65 , c ) c ) 258 , d ) d ) 62 , e ) e ) 48", "output": [ "c" ] }, { "id": "task1420-4157a8f914a0448db4004bf2022eee9f", "input": "Problem: on a certain day , joey , the ice - cream seller sold his ice creams to 4 different kids in a manner that each of the kids purchased half of the remaining ice creams and half ice - cream more . if we tell you that the fourth kid bought just a single ice cream , can you find out how many ice creams were sold by joey that day ? \nOptions: a ) 15 , b ) 20 , c ) 22 , d ) 12 , e ) 8", "output": [ "a" ] }, { "id": "task1420-65f3c2145f88475dad4549cffd0d017c", "input": "Problem: in the xy - coordinate system , what is the slope of the line that goes through the point ( 1 , 1 ) and is equidistant from the two points p = ( 3 , 7 ) and q = ( 9 , 11 ) ? \nOptions: a ) 0.5 , b ) 0.625 , c ) 0.75 , d ) 0.875 , e ) 1.0", "output": [ "b" ] }, { "id": "task1420-59f7cfe4c1fd4ce68653a86559558524", "input": "Problem: in a division sum , the remainder is 6 and the divisor is 5 times the quotient and is obtained by adding 27 to the thrice of the remainder . the dividend is \nOptions: a ) 74 , b ) 78 , c ) 186 , d ) 92 , e ) 98", "output": [ "c" ] }, { "id": "task1420-a7f2e39192804392bde75fca3a10163a", "input": "Problem: the units digit of ( 35 ) ^ ( 87 ) + ( 93 ) ^ ( 55 ) is : \nOptions: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 0", "output": [ "a" ] }, { "id": "task1420-f01a2e02a9654a668b64f75a21bcdd94", "input": "Problem: a positive number x is multiplied by 2 , and this product is then divided by 4 . if the positive square root of the result of these two operations equals x , what is the value of x ? \nOptions: a ) 9 / 4 , b ) 3 / 2 , c ) 4 / 3 , d ) 2 / 3 , e ) 1 / 2", "output": [ "a" ] }, { "id": "task1420-b6a41e2752e744fca1308ea8de1d0e0f", "input": "Problem: suzie ’ s discount footwear sells all pairs of shoes for one price and all pairs of boots for another price . on monday the store sold 22 pairs of shoes and 16 pairs of boots for $ 540 . on tuesday the store sold 8 pairs of shoes and 32 pairs of boots for $ 720 . how much more do pairs of boots cost than pairs of shoes at suzie ’ s discount footwear ? \nOptions: a ) 12 , b ) 11 , c ) 10 , d ) 15 , e ) 16", "output": [ "c" ] }, { "id": "task1420-3f186d483e564a14b6a6f602da4ac097", "input": "Problem: 9.99 x 9.9 x 9 ÷ 9.9 ÷ 0.3 = ? \nOptions: a ) 276 , b ) 299 , c ) 310 , d ) 3.33 , e ) 365", "output": [ "d" ] }, { "id": "task1420-21697055c655402c8bdc2f464c72ceb2", "input": "Problem: the positive integers a and b leave remainders of 2 and 3 , respectively , when divided by 6 . a > b . what is the remainder when a – b is divided by 6 ? \nOptions: a ) 4 , b ) 3 , c ) 5 , d ) 2 , e ) 1", "output": [ "c" ] }, { "id": "task1420-011f0e4416e2423e986ce042d5166599", "input": "Problem: the toll t , in dollars , for a truck using a certain bridge is given by the formula t = 2.50 + 0.50 ( x − 2 ) , where x is the number of axles on the truck . what is the toll for an 18 - wheel truck that has 2 wheels on its front axle and 4 wheels on each of its other axles ? \nOptions: a ) $ 2.50 , b ) $ 3.00 , c ) $ 3.50 , d ) $ 4.00 , e ) $ 5.00", "output": [ "d" ] }, { "id": "task1420-6a0a2f22593a47528c4a56b54c17ebbc", "input": "Problem: in a company with 48 employees , some part - time and some full - time , exactly ( 1 / 3 ) of the part - time employees and ( 1 / 4 ) of the full - time employees take the subway to work . what is the greatest possible number y of employees who take the subway to work ? \nOptions: a ) 12 , b ) 13 , c ) 14 , d ) 15 , e ) 16", "output": [ "d" ] }, { "id": "task1420-105c4395b07541e6a179dccdbfec1c1e", "input": "Problem: sum of 19 odd numbers is ? \nOptions: a ) 341 , b ) 351 , c ) 361 , d ) 371 , e ) 381", "output": [ "c" ] }, { "id": "task1420-f7ae0618d84e4cf3988352721a2e88a6", "input": "Problem: 30 ^ 10 / 210 ^ 5 = ? \nOptions: a ) 6 ^ 5 , b ) 5 ^ 6 , c ) ( 30 / 7 ) ^ 5 , d ) 6 ^ 3 , e ) 15 ^ 3", "output": [ "c" ] }, { "id": "task1420-bc80d465a75243efa434be3e0a494752", "input": "Problem: in a 100 - mile trip , the first 30 miles were completed at 60 mph . if the average speed for the whole trip was 40 mph , what was the average speed in the last 70 miles ? \nOptions: a ) 30 mph , b ) 32 mph , c ) 35 mph , d ) 37 mph , e ) 38 mph", "output": [ "c" ] }, { "id": "task1420-d41c00dbdfdf4a8aae5455d98d40b2c9", "input": "Problem: the average age of 25 students of a class is 25 years . out of these , the average age of 10 students is 22 years and that of the other 14 students is 28 years . the age of the 25 th student is ? \nOptions: a ) 10 , b ) 15 , c ) 13 , d ) 11 , e ) 9", "output": [ "c" ] }, { "id": "task1420-4f7ab592d1a14aaf8433d037b4a7026d", "input": "Problem: a ship 77 km from the shore , springs a leak which admits to 9 / 4 tonnes of water in 11 / 2 minutes . 92 tonnes of water would sink it . but the pumps can throw out 12 tonnes of water per hour . find the average rate of sailing so that the ship may just reach the shore as it begins to sink . \nOptions: a ) 10.5 , b ) 11 , c ) 12 , d ) 13 , e ) 15", "output": [ "a" ] }, { "id": "task1420-f9cd11d34b6141ab96eceb457a788b7e", "input": "Problem: in a certain apartment building , there are one - bedroom and two - bedroom apartments . the rental prices of the apartment depend on a number of factors , but on average , two - bedroom apartments have higher rental prices than do one - bedroom apartments . let m be the average rental price for all apartments in the building . if m is $ 1,500 higher than the average rental price for all one - bedroom apartments , and if the average rental price for all two - bedroom apartments is $ 6,000 higher that m , then what percentage of apartments in the building are two - bedroom apartments ? \nOptions: a ) 40 % , b ) 35 % , c ) 30 % , d ) 20 % , e ) 28 %", "output": [ "d" ] }, { "id": "task1420-8a1e42e3f23245368fff46d03cb41496", "input": "Problem: how many multiples of 8 are less than 1600 , and also multiples of 64 ? \nOptions: a ) 25 , b ) 28 , c ) 62 , d ) 83 , e ) 89", "output": [ "a" ] }, { "id": "task1420-54892cd76b564e308aa2bb70b0fa1b73", "input": "Problem: the number of the members of a club is more than 50 and less than 80 . when 5 people sit at a table , other people exactly divided to 8 - people groups ( 8 people sit at a table ) or 7 - people groups ( 7 people sit at a table ) . if the members are divided to 9 - people groups , how many people will be left ? \nOptions: a ) 4 , b ) 5 , c ) 6 , d ) 7 , e ) 8", "output": [ "d" ] }, { "id": "task1420-2a70be1289c244e38998f69ee742c658", "input": "Problem: 5 n + 2 > 12 and 7 n + 2 < 44 ; n must be between which numbers ? \nOptions: a ) 1 and 8 , b ) 2 and 6 , c ) 0 and 9 , d ) 2 and 7 , e ) 2 and 9", "output": [ "b" ] }, { "id": "task1420-d5ab61104aa2457d8c1725417b530075", "input": "Problem: if p / q = 2 / 7 , then 2 p + q = ? \nOptions: a ) 11 , b ) 14 , c ) 13 , d ) 15 , e ) 16", "output": [ "a" ] }, { "id": "task1420-ae25d3e33a2d4864b49f04202f450a31", "input": "Problem: 3 , 14,39 , _ ? \nOptions: a ) 81 , b ) 82 , c ) 83 , d ) 84 , e ) 85", "output": [ "d" ] }, { "id": "task1420-fd67bd57f2564a37bb54df3e4a164a82", "input": "Problem: in one day , juan sends keith 8 times as many messages as he sends laurence , and laurence sends missy 4.5 times as many messages as he receives from juan . if missy received 18 messages from laurence , how many messages does keith receive from juan ? \nOptions: a ) 13 , b ) 26 , c ) 32 , d ) 48 , e ) 56", "output": [ "c" ] }, { "id": "task1420-3d4787af89b647acb0e3281f0a347bbe", "input": "Problem: two friends a , b decided to share a lot of apples . each of them had half of the total plus half an apple in order . after each of them took their share 4 time , no apples were left . how many apples were there ? \nOptions: a ) 250 , b ) 255 , c ) 254 , d ) 253 , e ) 251", "output": [ "e" ] }, { "id": "task1420-ce6f9f95985344488877e79c3fce1bab", "input": "Problem: if ( a – b ) is 7 more than ( c + d ) and ( a + b ) is 3 less than ( c – d ) , then ( a – c ) is : \nOptions: a ) 6 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "b" ] }, { "id": "task1420-e7ad1eaf08be4b9589f7968cb32f451e", "input": "Problem: how many numbers from 10 to 1000 are exactly divisible by 9 ? \nOptions: a ) 100 , b ) 10 , c ) 11 , d ) 12 , e ) 14", "output": [ "a" ] }, { "id": "task1420-15a5999a725e4602b5b22b61877d0869", "input": "Problem: ( √ 27 + √ 243 ) / √ 48 = ? \nOptions: a ) 2 √ 2 , b ) 2 √ 3 , c ) 3 √ 2 , d ) 3 √ 3 , e ) 3", "output": [ "e" ] }, { "id": "task1420-61e84da57ba7430fa27592ec7938b375", "input": "Problem: how many positive integers between 1 and 100 are there such that they are multiples of 15 ? \nOptions: a ) 5 , b ) 4 , c ) 7 , d ) 1 , e ) 6", "output": [ "e" ] }, { "id": "task1420-759dcc9a1e1b46a5a82b591a88e12762", "input": "Problem: if a = 1 , what is the value of – ( a ^ 2 + a ^ 3 + a ^ 4 + a ^ 5 + a ^ 6 ) ? \nOptions: a ) - 14 , b ) - 4 , c ) 0 , d ) 4 , e ) - 5", "output": [ "e" ] }, { "id": "task1420-19c7de46b20849f283d7a89cbdc0ddad", "input": "Problem: a number when divided by a certain divisor left remainder 241 , when twice the number was divided by the same divisor , the remainder was 102 . find the divisor ? \nOptions: a ) 370 , b ) 365 , c ) 380 , d ) 456 , e ) 460", "output": [ "c" ] }, { "id": "task1420-79da05c91b6f427fb3222751f6690585", "input": "Problem: how many integers between 265,205 and 758,805 have tens digit 1 and units digit 3 ? \nOptions: a ) 4,629 , b ) 4,639 , c ) 3,946 , d ) 4,926 , e ) 4,936", "output": [ "e" ] }, { "id": "task1420-e7b2f5709326411083fb0b86aa9714fb", "input": "Problem: what is the area inscribed by the lines y = 6 , x = 3 , y = 2 x - 4 on an xy - coordinate plane ? \nOptions: a ) a ) 1 , b ) b ) 2 , c ) c ) 4 , d ) d ) 8 , e ) e ) 16", "output": [ "c" ] }, { "id": "task1420-7900ab175e8a4a23aeac688a54357d19", "input": "Problem: the value of ( 4.7 × 13.26 + 4.7 × 9.43 + 4.7 × 77.31 ) is : \nOptions: a ) 0.47 , b ) 47 , c ) 470 , d ) 4700 , e ) none of these", "output": [ "c" ] }, { "id": "task1420-fa01579102164be8b00709eb0b8e264d", "input": "Problem: the jogging track in a sports complex is 1000 meters in circumference . deepak and his wife start from the same point and walk in opposite directions at 20 km / hr and 17 km / hr respectively . they will meet for the first time in ? \nOptions: a ) 50 min , b ) 40 min , c ) 35 min , d ) 37 min , e ) 20 min", "output": [ "d" ] }, { "id": "task1420-c1d95ed6061e4bea8a148534f5a8e20e", "input": "Problem: the mean proportional between 4 and 16 is ? \nOptions: a ) 12 , b ) 13 , c ) 14 , d ) 15 , e ) 16", "output": [ "e" ] }, { "id": "task1420-95b39b6a2e8a48e48556a8f17079ed07", "input": "Problem: the maximum number of student amoung them 1001 pens and 910 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is : \nOptions: a ) 91 , b ) 910 , c ) 1001 , d ) 1911 , e ) none of these", "output": [ "a" ] }, { "id": "task1420-e96d1b667bd0409da5db79523ca81030", "input": "Problem: the mean of 50 observations was 36 . it was found later that an observation 29 was wrongly taken as 23 . the corrected new mean is : \nOptions: a ) 36.1 , b ) 36.5 , c ) 36.22 , d ) 36.12 , e ) 36.18", "output": [ "d" ] }, { "id": "task1420-f4bf248ec75d4f8b818943459687b156", "input": "Problem: what is the smallest positive integer x such that 280 - x is the cube of a positive integer \nOptions: a ) 5 , b ) 64 , c ) 62 , d ) 60 , e ) 12", "output": [ "b" ] }, { "id": "task1420-9872f659d33346bab4ab223b4924f7ca", "input": "Problem: if y > 0 , ( 7 y ) / 20 + ( 3 y ) / 10 is what percent of y ? \nOptions: a ) 40 % , b ) 50 % , c ) 65 % , d ) 70 % , e ) 80 %", "output": [ "c" ] }, { "id": "task1420-3c5b4fb74135495983c7b0ba4a0f9cc1", "input": "Problem: the average earning of amechanic for the first 4 days of a week is rs . 25 and for the last 4 days is rs . 22 . if heearns rs . 20 on the fourth day , his average earning forthe whole week is ? \nOptions: a ) s . 10 , b ) s . 24 , c ) s . 30 , d ) s . 40 , e ) s . 50", "output": [ "b" ] }, { "id": "task1420-b4494ffd2f0b41fa8917494569012d2d", "input": "Problem: what is the next number 12 13 15 17 111 113 117 119 123 129 ? \nOptions: a ) 154 , b ) 220 , c ) 129 , d ) 131 , e ) 224", "output": [ "d" ] }, { "id": "task1420-66e23e1c7706494d8b86aa56075b97d4", "input": "Problem: the price of 3 chudi and 6 tops is rs . 1500 . with the same money one can buy 1 chudi and 12 tops . if one wants to buy 5 tops , how much shall she have to pay ? \nOptions: a ) 500 , b ) 1000 , c ) 1200 , d ) 1300 , e ) 1500", "output": [ "a" ] }, { "id": "task1420-ff1a5f5d7eb445cbbba112d690acf15e", "input": "Problem: how many natural numbers are there between 43 and 200 which are exactly divisible by 6 ? \nOptions: a ) 26 , b ) 25 , c ) 24 , d ) 22 , e ) 23", "output": [ "a" ] }, { "id": "task1420-9d78590974ab4730a57e6a4f16c605b8", "input": "Problem: the average age of a group of n people is 14 years old . one more person aged 34 joins the group and the new average is 16 years old . what is the value of n ? \nOptions: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11", "output": [ "c" ] }, { "id": "task1420-a7b59b39a6744d95ac2760800bba110b", "input": "Problem: the average of temperatures at noontime from monday to friday is 40 ; the lowest one is 30 , what is the possible maximum range of the temperatures ? \nOptions: a ) 20 , b ) 25 , c ) 50 , d ) 45 , e ) 75", "output": [ "c" ] }, { "id": "task1420-b70d7010d1da4111922c94f67c90ac10", "input": "Problem: the difference between the local value and the face value of 3 in the numeral 62975143 is \nOptions: a ) 3 , b ) 2 , c ) 1 , d ) 0 , e ) 5", "output": [ "d" ] }, { "id": "task1420-aedd933880e1478680d1cc45c06fe13f", "input": "Problem: you have been given a physical balance and 7 weights of 40 , 42 , 36 , 33 , 47 , 52 and 67 kgs . keeping weights on one pan and object on the other , what is the maximum you can weigh less than 169 kgs . \nOptions: a ) 163 , b ) 166 , c ) 162 , d ) 164 , e ) 165", "output": [ "e" ] }, { "id": "task1420-5b2d3cb0b66a400bbe48713a1b9ec911", "input": "Problem: a man sells an article at 10 % gain . had be sold at for rs . 60 / - more he could have gained 20 % what is cost price of article \nOptions: a ) rs . 500 , b ) rs . 600 , c ) rs . 650 , d ) rs . 760 , e ) rs . 800", "output": [ "b" ] }, { "id": "task1420-41e69c2f56f54786881196e4be9d029f", "input": "Problem: in a fuel station the service costs $ 1.75 per car , every liter of fuel costs 0.65 $ . assuming that a company owns 12 cars and that every fuel tank contains 57 liters and they are all empty , how much money total will it cost to fuel all cars ? \nOptions: a ) 320.50 $ , b ) 380.50 $ , c ) 425.50 $ , d ) 450.50 $ , e ) 465.60 $", "output": [ "e" ] }, { "id": "task1420-ebb39c526a2041f793a7ae6e5339bfaa", "input": "Problem: a group of students decided to collect as many paise from each member of group as is the number of members . if the total collection amounts to rs . 57.76 , the number of the member is the group is : \nOptions: a ) 57 , b ) 76 , c ) 77 , d ) 87 , e ) 97", "output": [ "b" ] }, { "id": "task1420-85a3eb48b2ae4b5c92a48c27a21bf676", "input": "Problem: of the female students at barkely university , 1 / 6 are on the honor roll . of the male students , 2 / 5 are on the honor roll . if 3 / 5 of the students are female , what fraction of all the students are on the honor roll ? \nOptions: a ) 5 / 9 , b ) 3 / 15 , c ) 26 / 100 , d ) 43 / 60 , e ) 53 / 90", "output": [ "c" ] }, { "id": "task1420-de054af93d03407cb9cbf97949528d29", "input": "Problem: if n is a positive integer and the product of all integers from 1 to n , inclusive , is a multiple of 420 , what is the least possible value of n ? \nOptions: a ) 5 , b ) 7 , c ) 9 , d ) 11 , e ) 12", "output": [ "b" ] }, { "id": "task1420-163cee088de6442cb7a0ffa9a1b3778f", "input": "Problem: in objective test a correct ans score 4 marks and on a wrong ans 2 marks are - - - . a student score 480 marks from 150 question . how many ans were correct ? \nOptions: a ) 120 , b ) 130 , c ) 110 , d ) 150 , e ) 180", "output": [ "b" ] }, { "id": "task1420-6f46d62205dc4fa8b2d3dbd5e86337c0", "input": "Problem: the average age of 25 students in a group is 12 years . when teacher ' s age is included to it , the average increases by one . what is the teacher ' s age in years ? \nOptions: a ) 31 , b ) 38 , c ) 39 , d ) 40 , e ) 57", "output": [ "b" ] }, { "id": "task1420-5579d6a344af446fa4873c37cf47b592", "input": "Problem: in a box of 11 pencils , a total of 2 are defective . if a customer buys 3 pencils selected at random from the box , what is the probability that neither pencils will be defective ? \nOptions: a ) 1 / 25 , b ) 28 / 55 , c ) 2 / 35 , d ) 2 / 55 , e ) 1 / 75", "output": [ "b" ] }, { "id": "task1420-4b1c82b3264645109fb65236c25fe11a", "input": "Problem: the visitors of a modern art museum who watched a certain picasso painting were asked to fill in a short questionnaire indicating whether they had enjoyed looking at the picture and whether they felt they had understood it . according to the results of the survey , all 100 visitors who did not enjoy the painting also did not feel they had understood the painting , and the number of visitors who enjoyed the painting was equal to the number of visitors who felt they had understood the painting . if 3 / 4 of the visitors who answered the questionnaire both enjoyed the painting and felt they had understood the painting , then how many visitors answered the questionnaire ? \nOptions: a ) 90 , b ) 120 , c ) 160 , d ) 360 , e ) 400", "output": [ "e" ] }, { "id": "task1420-2aa3802f84a84a168e5c49405c749a05", "input": "Problem: 0.002 x 0.4 = ? \nOptions: a ) 8.0 , b ) 0.008 , c ) 0.08 , d ) 0.8 , e ) 0.0008", "output": [ "e" ] }, { "id": "task1420-344d3332b84f401180da7a075b780c8a", "input": "Problem: o ( x ) represents the least odd integer greater than x , whereas o ( x ) represents the greatest odd integer less than x . likewise , e ( x ) represents the least even integer greater than x , whereas e ( x ) represents the greatest even integer less than x . according to these definitions , the value of o ( 11.6 ) + e ( – 10.4 ) + o ( – 9.2 ) + e ( 9.5 ) is : \nOptions: a ) - 3 , b ) - 1 , c ) 0 , d ) 1 , e ) 3", "output": [ "c" ] }, { "id": "task1420-45902d8517b749b58200a13b5bfc3e67", "input": "Problem: arjun started a business with rs . 20,000 and is joined afterwards by anoop with rs . 80 , 000 . after how many months did anoop join if the profits at the end of the year are divided equally ? \nOptions: a ) 3 , b ) 9 , c ) 5 , d ) 6 , e ) 7", "output": [ "b" ] }, { "id": "task1420-f97d8a6ba3864b80bf294b9a5068a423", "input": "Problem: 5 times a number equals one 100 . the number is \nOptions: a ) 50 , b ) 10 , c ) 15 , d ) 25 , e ) 20", "output": [ "e" ] }, { "id": "task1420-d48ef461e46f44539ec51a09b50c13fb", "input": "Problem: each child has 2 pencils and 13 skittles . if there are 15 children , how many pencils are there in total ? \nOptions: a ) 30 , b ) 12 , c ) 18 , d ) 22 , e ) 08", "output": [ "a" ] }, { "id": "task1420-408d6cb105d74d9c95eafb55d94ab896", "input": "Problem: 25 onions on a scale weigh 5.12 kg . when 3 onions are removed from the scale , the average weight of the 22 onions is 200 grams . what is the average weight ( in grams ) of the 3 onions which were removed ? \nOptions: a ) 200 , b ) 220 , c ) 240 , d ) 260 , e ) 280", "output": [ "c" ] }, { "id": "task1420-da2a9468162f4350bd82e76155c665ff", "input": "Problem: two numbers a and b are such that the sum of 7 % of a and 4 % of b is two - third of the sum of 6 % of a and 8 % of b . find the ratio of a : b . \nOptions: a ) 2 : 1 , b ) 1 : 2 , c ) 4 : 9 , d ) 1 : 1 , e ) 3 : 2", "output": [ "c" ] }, { "id": "task1420-a1e8985397fa4d0fac62c61c2ac18ae9", "input": "Problem: the sum of three consecutive integers is 312 . what is the sum of the next three consecutive integers ? \nOptions: a ) 315 , b ) 321 , c ) 330 , d ) 415 , e ) 424", "output": [ "b" ] }, { "id": "task1420-3e5419858e504795a2ed65159621f47f", "input": "Problem: how much is 80 % of 45 is greater than 4 / 5 of 25 ? \nOptions: a ) 15 , b ) 57 , c ) 16 , d ) 16 , e ) 73", "output": [ "c" ] }, { "id": "task1420-28b307f4ba1a4e7ca4dea460438cefe6", "input": "Problem: if x + y = 250 , x - y = 200 , for integers of x and y , y = ? \nOptions: a ) 200 , b ) 225 , c ) 50 , d ) 115 , e ) 150", "output": [ "b" ] }, { "id": "task1420-9ec9eb1a6f2b43988f1c382ef31fa9a1", "input": "Problem: 998 x 998 = ? \nOptions: a ) 996000 , b ) 1000000 , c ) 996004 , d ) 4000 , e ) 996008", "output": [ "c" ] }, { "id": "task1420-0e79aadeee994f2599bdf180ab338cf4", "input": "Problem: in 2 bags , there are to be put together 5 red and 12 white balls , neither bag being empty . how must the balls be divided so as to give a person who draws 1 ball from either bag - the least chance of drawing a red ball ? \nOptions: a ) 1 / 32 , b ) 2 / 32 , c ) 3 / 32 , d ) 4 / 32 , e ) 5 / 32", "output": [ "e" ] }, { "id": "task1420-e92543c7c8754e6690e9b77bead97d59", "input": "Problem: each digit 1 through 5 is used exactly once to create a 5 - digit integer . if the 5 and the 4 can not be adjacent digits in the integer , how many 5 - digit integers are possible ? \nOptions: a ) 48 , b ) 66 , c ) 76 , d ) 78 , e ) 72", "output": [ "e" ] }, { "id": "task1420-c56fd3c759234d2691e3836e73400e50", "input": "Problem: i chose a number and divide it by 9 . then i subtracted 100 from the result and got 10 . what was the number i chose ? \nOptions: a ) 600 , b ) 700 , c ) 990 , d ) 900 , e ) none", "output": [ "c" ] }, { "id": "task1420-143cfc44e6ff42749242a8ce20ebf539", "input": "Problem: what is the remainder when you divide 2 ^ 200 + 2 by 7 ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 6 , e ) 5", "output": [ "d" ] }, { "id": "task1420-de88c827978444d28bd21ed591e52736", "input": "Problem: in a 3 digit number , the 100 digit is 2 more than the tens digit and the units digit is 2 less than the tens digit . if the sum of the digits is 27 , find the number ? \nOptions: a ) 867 , b ) 1179 , c ) 1196 , d ) 1098 , e ) 1197", "output": [ "e" ] }, { "id": "task1420-e6ed9479f36344b1a4285be4f5cf394d", "input": "Problem: a number when divided by 342 gives a remainder 47 . when the same number is divided by 19 what would be the remainder ? \nOptions: a ) 0 , b ) 9 , c ) 19 , d ) 29 , e ) 18", "output": [ "b" ] }, { "id": "task1420-8358991e8b5741c09d10ee6011b0a91c", "input": "Problem: if ( 2 to the x ) - ( 2 to the ( x - 2 ) ) = 3 ( 2 to the 5 ) , what is the value of x ? \nOptions: a ) 7 , b ) 11 , c ) 13 , d ) 15 , e ) 17", "output": [ "a" ] }, { "id": "task1420-13226e4886864da3bb53aba587cbc713", "input": "Problem: a sum of money lent out at s . i . amounts to rs . 820 after 2 years and to rs . 1020 after a further period of 4 years . the sum is ? \nOptions: a ) s . 440 , b ) s . 500 , c ) s . 720 , d ) s . 740 , e ) s . 840", "output": [ "c" ] }, { "id": "task1420-33c6f7317df94a6eac1aef1e2d8d3aa8", "input": "Problem: how much is 35 % of 40 is greater than 4 / 5 of 25 ? \nOptions: a ) 29 , b ) 776 , c ) 66 , d ) 14 , e ) 99", "output": [ "d" ] }, { "id": "task1420-6ff378128739409eacd99e522f6d13ef", "input": "Problem: 4 / 15 of 5 / 7 of a number is greater than 4 / 9 of 2 / 5 of the same number by 24 . what is half of that number ? \nOptions: a ) 670 , b ) 750 , c ) 945 , d ) 375 , e ) 315", "output": [ "c" ] }, { "id": "task1420-81ea43533caf4266ae7d9333661f87e9", "input": "Problem: a man performs 3 / 5 of the total journey by rail , 17 / 20 by bus and the remaining 6.5 km on foot . his total journey is : \nOptions: a ) 125 km , b ) 130 km , c ) 135 km , d ) 140 km , e ) none", "output": [ "b" ] }, { "id": "task1420-baa77ad42e3f458ab2530629274772a6", "input": "Problem: the average of 5 quantities is 8 . the average of 3 of them is 4 . what is the average of remaining 2 numbers ? \nOptions: a ) 14 , b ) 10 , c ) 8 , d ) 9.5 , e ) none of these", "output": [ "a" ] }, { "id": "task1420-96086fe7d1de47b3ab9b881758146f1f", "input": "Problem: the ratio 5 : 4 expressed as a percent equals \nOptions: a ) 12.5 % , b ) 40 % , c ) 80 % , d ) 125 % , e ) none", "output": [ "d" ] }, { "id": "task1420-774c9abd192241398e4ba938d568b862", "input": "Problem: a 20 litre mixture of milk and water contains milk and water in the ratio 3 : 2 . 10 litres of the mixture is removed and replaced with pure milk and the operation is repeated once more . at the end of the two removal and replacement , what is the ratio t of milk and water in the resultant mixture ? \nOptions: a ) 17 : 3 , b ) 9 : 1 , c ) 3 : 17 , d ) 5 : 3 , e ) 11 : 2", "output": [ "b" ] }, { "id": "task1420-36cbc85002b345128851d0663b9e0551", "input": "Problem: there are 19 teams in the hockey league , and each team faces all the other teams 10 times each . how many games are played in the season ? \nOptions: a ) 1710 , b ) 1920 , c ) 2440 , d ) 2860 , e ) 3260", "output": [ "a" ] }, { "id": "task1420-e6a300a930904d07a526a8587dcee443", "input": "Problem: if a certain number is divided by 5 , the quotient , dividend , and divisor , added together , will amount to 65 . what is the number ? \nOptions: a ) 18 , b ) 28 , c ) 48 , d ) 38 , e ) 50", "output": [ "e" ] }, { "id": "task1420-1e35ad4b4f4b47a7b0728cc839987edf", "input": "Problem: if a randomly selected non - negative single digit integer is added to { 2 , 3 , 4 , 8 } . what is the probability that the median of the set will increase but the range still remains the same ? \nOptions: a ) 0.2 , b ) 0.3 , c ) 0.4 , d ) 0.5 , e ) 0.6", "output": [ "d" ] }, { "id": "task1420-342bb1ca38094e0fbc8846d8bce89b08", "input": "Problem: a computer wholesaler sells 10 different computers and each is priced differently . if the wholesaler chooses 3 computers for display at a trade show , what is the probability ( all things being equal ) that the two most expensive computers will be among the 3 chosen for display ? \nOptions: a ) 15 / 56 , b ) 3 / 28 , c ) 1 / 28 , d ) 1 / 15 , e ) 1 / 168", "output": [ "d" ] }, { "id": "task1420-60a001176a96407e96d6406d1f0ae58a", "input": "Problem: how many positive integers less than 5,000 are evenly divisible by neither 14 nor 21 ? \nOptions: a ) 4,514 , b ) 4,475 , c ) 4,521 , d ) 4,428 , e ) 4,349", "output": [ "e" ] }, { "id": "task1420-00061fbbb9634afb85b00de4d3f06585", "input": "Problem: a dog is tied to a tree by a long nylon cord . if the dog runs from the due north side of the tree to the due south side of the tree with the cord extended to its full length at all items , and the dog ran approximately 30 feet , what was the approximate length of the nylon cord e , in feet ? \nOptions: a ) 30 , b ) 25 , c ) 15 , d ) 10 , e ) 5", "output": [ "d" ] }, { "id": "task1420-30e1ccc5863a4ff5895f8704cc0d986a", "input": "Problem: ( 786 × 74 ) ÷ ? = 1938.8 \nOptions: a ) a ) 4.8 , b ) b ) 48 , c ) c ) 30 , d ) d ) 68 , e ) e ) 48", "output": [ "c" ] }, { "id": "task1420-ccf4dd1608954759bed71a25dfbb15d1", "input": "Problem: alok ordered 16 chapatis , 5 plates of rice , 7 plates of mixed vegetable and 6 ice - cream cups . the cost of each chapati is rs . 6 , that of each plate of rice is rs . 45 and that of mixed vegetable is rs . 70 . the amount that alok paid the cashier was rs . 1081 . find the cost of each ice - cream cup ? \nOptions: a ) 25 , b ) 66 , c ) 77 , d ) 99 , e ) 45", "output": [ "e" ] }, { "id": "task1420-6e42682fd52d4fa6b450a560d2d0b309", "input": "Problem: a , b and c rent a pasture . if a puts 10 oxen for 7 months , b puts 12 oxen for 5 months and c puts 15 oxen for 3 months for grazing and the rent of the pasture is rs . 245 , then how much amount should c pay as his share of rent ? \nOptions: a ) 35 , b ) 45 , c ) 25 , d ) 63 , e ) 55", "output": [ "d" ] }, { "id": "task1420-2db77022039547eca086da251863b0be", "input": "Problem: is two years older than b who is twice as old as c . if the total of the ages of a , b and c be 22 , then how old is b ? \nOptions: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11", "output": [ "b" ] }, { "id": "task1420-f0a9076b65a5466e8537ad9eee4f0ff6", "input": "Problem: after a storm deposits 115 billion gallons of water into the city reservoir , the reservoir is 80 % full . if the original contents of the reservoir totaled 245 billion gallons , the reservoir was approximately what percentage full before the storm ? \nOptions: a ) 45 % , b ) 48 % , c ) 54 % , d ) 58 % , e ) 65 %", "output": [ "c" ] }, { "id": "task1420-ddea8ac185e04735bda4a7cb7c116e88", "input": "Problem: country c imposes a two - tiered tax on imported cars : the first tier imposes a tax of 12 % of the car ' s price up to a certain price level . if the car ' s price is higher than the first tier ' s level , the tax on the portion of the price that exceeds this value is 9 % . if ron imported a $ 18,000 imported car and ended up paying $ 1950 in taxes , what is the first tier ' s price level ? \nOptions: a ) $ 11500 , b ) $ 11000 , c ) $ 12000 , d ) $ 12100 , e ) $ 12500", "output": [ "b" ] }, { "id": "task1420-b8a16b5137f8441f9fc317b1abc357b8", "input": "Problem: what is the total number of integers between 10 and 100 ( exclusive ) that are divisible by 7 ? \nOptions: a ) 10 , b ) 13 , c ) 15 , d ) 12 , e ) 11", "output": [ "b" ] }, { "id": "task1420-1b387b32e4fc4c749e8915d758384cc0", "input": "Problem: if jake loses 32 pounds , he will weigh twice as much as his sister . together they now weigh 212 pounds . what is jake ’ s present weight , in pounds ? \nOptions: a ) 131 , b ) 135 , c ) 139 , d ) 152 , e ) 188", "output": [ "d" ] }, { "id": "task1420-ffa8f0c6c1cf414e972d5116b10c1b34", "input": "Problem: x , y , and z are consecutive numbers and x > y > z . also , 2 x + 3 y + 3 z = 5 y + 11 . what is the value of z ? \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6", "output": [ "b" ] }, { "id": "task1420-5af492465b254c91840a9646a3d7c7aa", "input": "Problem: average monthly income of a family of 3 earning members was rs . 735 . one of the earning members died and therefore , the average income came down to rs 650 . the income of the deceased was ? \nOptions: a ) rs . 692.80 , b ) rs . 905 , c ) rs . 990 , d ) rs . 1385 , e ) none", "output": [ "b" ] }, { "id": "task1420-f5803e3470d94df294b4204164909073", "input": "Problem: the cost to park a car in a certain parking garage is $ 20.00 for up to 2 hours of parking and $ 1.75 for each hour in excess of 2 hours . what is the average ( arithmetic mean ) cost per hour to park a car in the parking garage for 9 hours ? \nOptions: a ) $ 3.58 , b ) $ 1.67 , c ) $ 2.25 , d ) $ 2.37 , e ) $ 2.50", "output": [ "a" ] }, { "id": "task1420-b64b23ef5cfa42a18f57b1fad3e2a80d", "input": "Problem: if a ^ 2 + b ^ 2 = 177 and ab = 54 then find the value of a + b / a - b ? \nOptions: a ) 1 , b ) 3 , c ) 5 , d ) 7 , e ) 9", "output": [ "c" ] }, { "id": "task1420-72df8d08d83247d8b29038de5e8c4f4f", "input": "Problem: s is a set of 50 consecutive multiples of 2 . if the smallest number in s is 56 , then the greatest number in s is \nOptions: a ) 198 , b ) 154 , c ) 199 , d ) 102 , e ) 105", "output": [ "b" ] }, { "id": "task1420-08568572c6004f178d7cf4338ec1b543", "input": "Problem: of the 13 employees in a certain department , 1 has an annual salary of 38,000 , 2 have an annual salary of 45,900 each , 2 have an annual salary of 42,500 each , 3 have an annual salary of 40,000 each and 5 have an annual salary of 48,500 each . what is the median annual salary for the 13 employees ? \nOptions: a ) 38,000 , b ) 40,000 , c ) 42,500 , d ) 45,900 , e ) 48,500", "output": [ "d" ] }, { "id": "task1420-8be46e5258794228b5eef1f67da0ae9c", "input": "Problem: the average runs of a cricket player of 8 innings was 24 . how many runs must he make in his next innings so as to increase his average of runs by 8 ? \nOptions: a ) 12 , b ) 42 , c ) 64 , d ) 96 , e ) 84", "output": [ "d" ] }, { "id": "task1420-9778d0f00ecf4a95bef860a96b116a95", "input": "Problem: find out the c . i on rs . 5000 at 4 % p . a . compound half - yearly for 1 1 / 2 years \nOptions: a ) 306.09 , b ) 306.07 , c ) 306.04 , d ) 306.03 , e ) 306.01", "output": [ "c" ] }, { "id": "task1420-d2c65ee2810b45d7bf25f9e668b5ea88", "input": "Problem: sandy gets 3 marks for each correct sum and loses 2 marks for each incorrect sum . sandy attempts 30 sums and obtains 60 marks . how many sums did sandy get correct ? \nOptions: a ) 18 , b ) 20 , c ) 22 , d ) 24 , e ) 26", "output": [ "d" ] }, { "id": "task1420-a4bb212b585f4c5ebef316b6dea18b78", "input": "Problem: how many odd prime numbers are there less than 50 ? \nOptions: a ) 15 , b ) 1 , c ) 2 , d ) 14 , e ) 17", "output": [ "d" ] }, { "id": "task1420-7064d12203864534add84d9b2946a291", "input": "Problem: 82 * 83 * 84 * . . 89 what is the digit in units place ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4", "output": [ "a" ] }, { "id": "task1420-7b1efd50c84e4b5382827cc714d7cfd0", "input": "Problem: elena purchased brand x pens for $ 4.00 apiece and brand y for $ 2.40 apiece . if elena purchased a total of 12 of these pens for $ 42.00 , how many brand x pens did she purchase ? \nOptions: a ) 4 , b ) 5 , c ) 6 , d ) 7 , e ) 8", "output": [ "b" ] }, { "id": "task1420-fe1bde8467d34092a84154189fb0a56c", "input": "Problem: 1 / 2 - [ ( 2 / 7 * 7 / 32 ) + 1 ] + 9 / 16 = \nOptions: a ) 29 / 16 , b ) 19 / 16 , c ) 15 / 16 , d ) 9 / 13 , e ) 0", "output": [ "e" ] }, { "id": "task1420-4df5e255d6484df59aaa200495a3b268", "input": "Problem: a gets 3 times as much money as b gets , b gets only rs . 25 more then what c gets . the 3 gets rs . 645 in all . find the share of b ? \nOptions: a ) 134 , b ) 120 , c ) 218 , d ) 140 , e ) 145", "output": [ "a" ] }, { "id": "task1420-19cb6f7b4d7942ed8ea578b36594984f", "input": "Problem: an alloy of copper and zinc contains copper and zinc in the ratio 8 : 2 . another alloy of copper and zinc contains copper and zinc in the ratio 4 : 6 . in what ratio should the two alloys be mixed so that the resultant alloy contains equal proportions of copper and zinc ? \nOptions: a ) 5 : 1 , b ) 4 : 1 , c ) 3 : 1 , d ) 6 : 1 , e ) 8 : 1", "output": [ "c" ] }, { "id": "task1420-197912ea15d34507bcb36498273d447a", "input": "Problem: zinc and copper are melted together in the ratio 9 : 11 . what is the weight of melted mixture , if 26.1 kg of zinc has been consumed in it ? \nOptions: a ) 58 kg , b ) 60 kg , c ) 64 kg , d ) 70 kg , e ) none", "output": [ "a" ] }, { "id": "task1420-bc67f6610f3345a4b921fe36bbfca27c", "input": "Problem: find the value of √ ( 25 / 16 ) . \nOptions: a ) 5 / 2 , b ) 3 / 4 , c ) 2 / 3 , d ) 1 / 3 , e ) 5 / 4", "output": [ "e" ] }, { "id": "task1420-0babc1411ab741a09043fe47095ee224", "input": "Problem: running at their respective constant rate , machine x takes 2 days longer to produce w widgets than machines y . at these rates , if the two machines together produce 5 w / 4 widgets in 3 days , how many days would it take machine x alone to produce 3 w widgets . \nOptions: a ) 4 , b ) 6 , c ) 18 , d ) 10 , e ) 12", "output": [ "c" ] }, { "id": "task1420-c2d4a6ff490d4c92af4618151b9086f1", "input": "Problem: 765 chairs are to be arranged in a column in such a way that the number of chairs in each column should be equal to the columns . how many chairs will be excluded to make this arrangement possible ? \nOptions: a ) 6 , b ) 36 , c ) 19 , d ) 27 , e ) none of these", "output": [ "b" ] }, { "id": "task1420-842648ee185d4ff0b26ca22967051973", "input": "Problem: a soft drink company had 6000 small and 14000 big bottles in storage . if 20 % of small 23 % of big bottles have been sold , then the total bottles remaining in storage is \nOptions: a ) 15360 , b ) 15720 , c ) 15060 , d ) 14930 , e ) 16075", "output": [ "b" ] }, { "id": "task1420-336a69290986477fbb2624917dbec53e", "input": "Problem: if there are 4 peanuts in a box and mary puts 6 more peanuts inside , how many peanuts are in the box ? \nOptions: a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 12", "output": [ "c" ] }, { "id": "task1420-3a742582bb7441bc9caecf91374c4862", "input": "Problem: a certain company has records stored with a record storage firm in 15 - inch by 12 - inch by 10 - inch boxes . the boxes occupy 1.08 million cubic inches of space . if the company pays $ 0.2 per box per month for the record storage , what is the total amount that the company pays each month for record storage ? \nOptions: a ) a . 150 , b ) b . 300 , c ) c . 600 , d ) d . 120 , e ) e . 200", "output": [ "d" ] }, { "id": "task1420-5060ac06846a41c78805e7d57ae344d8", "input": "Problem: in a company with 48 employees , some part - time and some full - time , exactly ( 1 / 3 ) of the part - time employees and ( 1 / 4 ) of the full - time employees take the subway to work . what is the greatest possible number h of employees who take the subway to work ? \nOptions: a ) 12 , b ) 13 , c ) 14 , d ) 15 , e ) 16", "output": [ "d" ] }, { "id": "task1420-4d6bcbb198fc4c5198a83802c6c98354", "input": "Problem: the sum of the first 50 positive even integers is 2550 . what is the sum t of even integers from 102 to 200 inclusive ? \nOptions: a ) 5100 , b ) 7550 , c ) 10100 , d ) 15500 , e ) 20100", "output": [ "b" ] }, { "id": "task1420-c4b5a0b169f64f0381558e664eea994b", "input": "Problem: how many integers between 324,805 and 458,705 have tens digit 2 and units digit 3 ? \nOptions: a ) 1,352 , b ) 1,359 , c ) 1,329 , d ) 1,349 , e ) 1,348", "output": [ "d" ] }, { "id": "task1420-cc516dc6a82d4240b3b18a5557282ffe", "input": "Problem: the sum of two numbers is 77 . 5 times one number is equal to 6 times the other . the bigger of the two numbers is \nOptions: a ) 10 , b ) 42 , c ) 14 , d ) 15 , e ) 60", "output": [ "b" ] }, { "id": "task1420-a742c2cc76f744c49feb27ef4f4792b8", "input": "Problem: if x + 1 / x = 5 then find out the value of x ^ 5 + 1 / x ^ 5 = ? \nOptions: a ) 2515 , b ) 2525 , c ) 2535 , d ) 2545 , e ) 2555", "output": [ "b" ] }, { "id": "task1420-7b86747b28ca4d81a78b40783ca9db39", "input": "Problem: the average age of 3 men is increased by years when two of them whose ages are 21 years and 23 years are replaced by two new men . the average age of the two new men is \nOptions: a ) 22 , b ) 30 , c ) 25 , d ) 38 , e ) 27", "output": [ "c" ] }, { "id": "task1420-721e4f3be37340b990d82481cedd8971", "input": "Problem: amithab ' s average expenditure for the january to june is rs . 4200 and he spends rs . 1200 in january and rs . 1500 in july . the average expenditure for the months of febraury to july is \nOptions: a ) rs . 4250 , b ) rs . 4228 , c ) rs . 4128 , d ) rs . 4988 , e ) rs . 4192", "output": [ "a" ] }, { "id": "task1420-3d134357e1964dc3a461e271245d76b9", "input": "Problem: if 7 : 13 : : 301 : x then the value of ‘ x ’ is : \nOptions: a ) 493 , b ) 537 , c ) 559 , d ) 587 , e ) 567", "output": [ "c" ] }, { "id": "task1420-f26e2249f69e417e8bc5e55800ca8ada", "input": "Problem: village x has a population of 68000 , which is decreasing at the rate of 1200 per year . village y has a population of 42000 , which is increasing at the rate of 800 per year . in how many years will the population of the two villages be equal ? \nOptions: a ) 15 , b ) 19 , c ) 11 , d ) 18 , e ) 13", "output": [ "e" ] }, { "id": "task1420-58a9797bb45a41e6821a6f03b5fd7349", "input": "Problem: what is the sum of all digits for the number 10 ^ 28 - 44 ? \nOptions: a ) 233 , b ) 245 , c ) 257 , d ) 270 , e ) 285", "output": [ "b" ] }, { "id": "task1420-249f4a7b3751495595e06db3cedb9f44", "input": "Problem: in digging a pond 20 m * 15 m * 5 m the volumes of the soil extracted will be ? \nOptions: a ) 3387 , b ) 1000 , c ) 2866 , d ) 1500 , e ) 1121", "output": [ "d" ] }, { "id": "task1420-a644ed0301574cdcbdafeb870dbd7f85", "input": "Problem: if 13 = 13 w / ( 1 - w ) , then ( 6 w ) 2 = \nOptions: a ) 1 / 4 , b ) 1 / 2 , c ) 1 , d ) 2 , e ) 6", "output": [ "e" ] }, { "id": "task1420-1824397c5b1f4dd6ad6d06e5826ec71e", "input": "Problem: company x provides bottled water to its employees in 5 liter bottles , $ 5 each . at least how many 5 l bottles must company x buy monthly , so that new contract with $ 40 fixed monthly rate and $ 2 for 20 l bottle each paid off ? ( assume that no other costs apply ) \nOptions: a ) 4 , b ) 9 , c ) 12 , d ) 20 , e ) 25", "output": [ "b" ] }, { "id": "task1420-6c0833aa5a444c628b9f3e1c25e30ac0", "input": "Problem: sum of the squares of 3 no . ' s is 138 and the sum of their products taken two at a time is 131 . find the sum ? \nOptions: a ) 20 , b ) 24 , c ) 26 , d ) 28 , e ) 30", "output": [ "a" ] }, { "id": "task1420-37a0c921aefc44e0966e8090fc5fa94a", "input": "Problem: total 48 matches are conducted in knockout match type . how many players will be participated in that tournament ? \nOptions: a ) 48 , b ) 47 , c ) 40 , d ) 42 , e ) 47", "output": [ "e" ] }, { "id": "task1420-0c162eb0bc334a12adae1c2d6036e15f", "input": "Problem: what is the sum of the greatest common factor and the lowest common multiple of 12 and 36 ? \nOptions: a ) 48 , b ) 22 , c ) 32 , d ) 36 , e ) 38", "output": [ "a" ] }, { "id": "task1420-c29c8fa03c844e4b92fbeba173a15d80", "input": "Problem: a certain clock marks every hour by striking a number of times equal to the hour , and the time required for a stroke is exactly equal to the time interval between strokes . at 6 : 00 the time lapse between the beginning of the first stroke and the end of the last stroke is 33 seconds . at 12 : 00 , how many seconds elapse between the beginning of the first stroke and the end of the last stroke ? \nOptions: a ) a . 72 , b ) b . 50 , c ) c . 48 , d ) d . 69 , e ) e . 44", "output": [ "d" ] }, { "id": "task1420-86caf87b04b847598ba9e727d8e2b6c3", "input": "Problem: if sum of two no . is 12 and subtraction to that is 4 . so how much min . should added to smaller no . to make it even ? \nOptions: a ) 1 , b ) 2 , c ) 0.5 , d ) 1.5 , e ) 0", "output": [ "e" ] }, { "id": "task1420-3187ebb878714ddb84a46784c4881bb1", "input": "Problem: the avg weight of a , b & c is 70 kg . if d joins the group , the avg weight of the group becomes 70 kg . if another man e who weights is 3 kg more than d replaces a , then the avgof b , c , d & e becomes 68 kg . what is the weight of a ? \nOptions: a ) 81 , b ) 65 , c ) 75 , d ) 89 , e ) 90", "output": [ "a" ] }, { "id": "task1420-f8521fe6d8ea4b7f91b531d9d7256f4b", "input": "Problem: how many integers between 500 and 1000 are there such that their unit digit is even ? \nOptions: a ) 250 , b ) 150 , c ) 500 , d ) 100 , e ) 200", "output": [ "a" ] }, { "id": "task1420-82b2534bb9b645a88cef98797881603d", "input": "Problem: the cost of producing x tools by a company is given by c ( x ) = 600 x + 5500 ( in $ ) a ) what is the cost of 100 tools ? \nOptions: a ) 65500 $ , b ) 125800 $ , c ) 125900 $ , d ) 6500 $ , e ) 122500 $", "output": [ "a" ] }, { "id": "task1420-a04c6ae37a1a4c6488ddc0d2f13a7b6e", "input": "Problem: a , b , c subscribe rs . 50,000 for a business . if a subscribes rs . 4000 more than b and b rs . 5000 more than c , out of a total profit of rs . 39,000 , what will be the amount a receives ? \nOptions: a ) 14700 , b ) 14500 , c ) 14900 , d ) 16380 , e ) 14000", "output": [ "d" ] }, { "id": "task1420-493a90110e2f43a59eee17301abb02f0", "input": "Problem: when leo imported a certain item , he paid a 7 percent import tax on the portion of the total value of the item in excess of $ 1000 . if the amount of the import tax that leo paid was $ 87.50 , what was the total value of the item ? \nOptions: a ) $ 1600 , b ) $ 1850 , c ) $ 2250 , d ) $ 2400 , e ) $ 2750", "output": [ "c" ] }, { "id": "task1420-8212f0397a014675910c27fa4a21bc5f", "input": "Problem: how many three - element subsets of { 1,2 , 3,4 } are there that do not contain the pair of elements 2 and 4 ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "b" ] }, { "id": "task1420-f7c7a202308c4c8bb309dd74e96f3cf8", "input": "Problem: from below option 48 is divisible by which one ? \nOptions: a ) a ) 3 , b ) b ) 5 , c ) c ) 9 , d ) d ) 7 , e ) e ) 11", "output": [ "a" ] }, { "id": "task1420-c88f518db1e345699c0544bba4da128b", "input": "Problem: if 28 less than 5 times a certain number is 232 . what is the number ? \nOptions: a ) 32 , b ) 42 , c ) 52 , d ) 62 , e ) 72", "output": [ "c" ] }, { "id": "task1420-eed2f03d01fa4425ac4ad4357efaad5b", "input": "Problem: in a group of cows and hens , the number of legs are 18 more than twice the number of heads . the number of cows is \nOptions: a ) 5 , b ) 7 , c ) 9 , d ) 12 , e ) 14", "output": [ "c" ] }, { "id": "task1420-914544f565f14a80826161306304fe78", "input": "Problem: the average of marks obtained by 120 candidates was 35 . if the avg of marks of passed candidates was 39 & that of failed candidates was 39 and that of failed candidates was 15 , the no . of candidateswho passed the examination is ? \nOptions: a ) 50 , b ) 90 , c ) 100 , d ) 120 , e ) 140", "output": [ "c" ] }, { "id": "task1420-c5bb0359a0ec4c7dbe8da855fff57a88", "input": "Problem: by how much is 12 % of 24.2 more than 10 % of 14.2 ? \nOptions: a ) 0.1484 , b ) 14.84 , c ) 1.484 , d ) 2.762 , e ) none", "output": [ "c" ] }, { "id": "task1420-d7ec7c76412a46f19ce9ded7b9d40eb2", "input": "Problem: find the average of all prime numbers between 1 and 5 . \nOptions: a ) 30 , b ) 3.6 , c ) 5.6 , d ) 6.6 , e ) none", "output": [ "c" ] }, { "id": "task1420-c8dbf6eb2f6a44788979ef8a9b94e68f", "input": "Problem: for any positive number x , the function [ x ] denotes the greatest integer less than or equal to x . for example , [ 1 ] = 1 , [ 1.367 ] = 1 and [ 1.899 ] = 1 . if k is a positive integer such that k ^ 2 is divisible by 45 and 80 , what is the units digit of k ^ 3 / 4000 ? \nOptions: a ) 0 , b ) 1 , c ) 27 , d ) 54 , e ) 0", "output": [ "e" ] }, { "id": "task1420-c5fd85f21653406f92903cf709f45c5c", "input": "Problem: set x consists of all two - digit primes and set y consists of all positive even multiples of 5 less than 100 . if the two sets are combined into one , what will be the range of the new set ? \nOptions: a ) 87 , b ) 89 , c ) 90 , d ) 92 , e ) 95", "output": [ "a" ] }, { "id": "task1420-6f14fbe826ef46239663b2ccce9c4de7", "input": "Problem: you collect pens . suppose you start out with 5 . mike gives you another 20 pens . since her father makes pens , cindy decides to double your pens . since you ' re nice , you give sharon 19 pens . how many pens do you have at the end ? \nOptions: a ) 39 , b ) 40 , c ) 31 , d ) 42 , e ) 43", "output": [ "c" ] }, { "id": "task1420-00adc9ae08844e03aa603f01a215adfc", "input": "Problem: 60 percent of movie theatres in town x have 2 screens or less . 20 % of those theatres sell an average of more than $ 300 worth of popcorn per showing . 56 percent of all the movie theatres in town x sell $ 300 or less of popcorn per showing . what percent of all the stores on the street have 4 or more screens and sell an average of more than $ 300 worth of popcorn per day ? \nOptions: a ) 12 , b ) 18 , c ) 32 , d ) 40 , e ) 44", "output": [ "d" ] }, { "id": "task1420-cde230c726994ddb850452423e0ab04a", "input": "Problem: the probability that a man will be alive for 10 more yrs is 3 / 4 & the probability that his wife will alive for 10 more yrs is 3 / 7 . the probability that none of them will be alive for 10 more yrs , is \nOptions: a ) 1 / 2 , b ) 1 , c ) 1 / 7 , d ) 3 / 4 , e ) 2", "output": [ "c" ] }, { "id": "task1420-e5fc803263c14ea58970a31ab0c5b4b7", "input": "Problem: running at their respective constant rate , machine x takes 2 days longer to produce w widgets than machines y . at these rates , if the two machines together produce 5 w / 4 widgets in 3 days , how many days would it take machine x alone to produce 2 w widgets . \nOptions: a ) 4 , b ) 6 , c ) 8 , d ) 10 , e ) 12", "output": [ "e" ] }, { "id": "task1420-afdcf87c02a34d0aa9e298e3c45d23fe", "input": "Problem: the average age of 20 students in a class is 15 years . if the age of teacher is also included , the average becomes 16 years , find the age of the teacher . \nOptions: a ) 35 , b ) 38 , c ) 45 , d ) 36 , e ) 60", "output": [ "d" ] }, { "id": "task1420-a7403a01804041f2bce8e7b1ddf1a32c", "input": "Problem: a certain sum of money is divided among a , b and c so that for each rs . a has , b has 65 paisa and c 40 paisa . if c ' s share is rs . 32 , find the sum of money ? \nOptions: a ) 288 , b ) 262 , c ) 72 , d ) 205 , e ) 164", "output": [ "e" ] }, { "id": "task1420-4e3ce610da5f421aab9578fe448f31a7", "input": "Problem: find the sum of all 3 digit natural numbers , which are divisible by 8 . \nOptions: a ) 61376 , b ) 54411 , c ) 612314 , d ) 64170 , e ) 64171", "output": [ "a" ] }, { "id": "task1420-9c6e8142371f42138f49d98cd411e3fd", "input": "Problem: a trailer carries 3 , 4 and 5 crates on a trip . each crate weighs no less than 150 kg . what is the maximum weight of the crates on a single trip ? \nOptions: a ) 1250 , b ) 625 , c ) 600 , d ) 750 , e ) 375", "output": [ "d" ] }, { "id": "task1420-191759de95b344749226be01879bf555", "input": "Problem: three numbers are in the ratio 4 : 5 : 6 and their average is 30 . the largest number is : \nOptions: a ) 33 , b ) 77 , c ) 36 , d ) 18 , e ) 16", "output": [ "c" ] }, { "id": "task1420-1e7c1fb1d56644b1a6d0617625383a5b", "input": "Problem: when positive integer k is divided by 5 , the remainder is 2 . when k is divided by 6 , the remainder is 5 . if k is less than 38 , what is the remainder when k is divided by 7 ? \nOptions: a ) 2 , b ) 4 , c ) 3 , d ) 5 , e ) 6", "output": [ "c" ] }, { "id": "task1420-067034786a83482db1ee817bf401d30c", "input": "Problem: the average of 6 no . ' s is 3.95 . the average of 2 of them is 3.4 , while the average of theother 2 is 3.85 . what is the average of the remaining 2 no ' s ? \nOptions: a ) 2.3 , b ) 2.5 , c ) 3.5 , d ) 3.6 , e ) 4.6", "output": [ "e" ] }, { "id": "task1420-9660608b8e0445cf8555a8d97548f711", "input": "Problem: if ( n + 2 ) ! = 2550 ( n ! ) ; find ’ n ’ \nOptions: a ) 38 , b ) 35 , c ) 49 , d ) 43 , e ) 34", "output": [ "c" ] }, { "id": "task1420-7e6fc53f6d514ef6afdd6373fe75479a", "input": "Problem: a , b and c are partners . a receives 2 / 3 of profits , b and c dividing the remainder equally . a ' s income is increased by rs . 200 when the rate to profit rises from 5 to 7 percent . find the capital of a ? \nOptions: a ) 3377 , b ) 2899 , c ) 2500 , d ) 2778 , e ) 10000", "output": [ "e" ] }, { "id": "task1420-846b1a4f515748e4a74a8a9494605bbf", "input": "Problem: a , b and c have rs . 1000 between them , a and c together have rs . 700 and b and c rs . 600 . how much does c have ? \nOptions: a ) 100 , b ) 200 , c ) 300 , d ) 400 , e ) 500", "output": [ "c" ] }, { "id": "task1420-2465ddb947244d3e87cfad716e9b2d80", "input": "Problem: | 13 - 3 | - | 4 - 10 | = ? \nOptions: a ) 3 , b ) 2 , c ) 1 , d ) 0 , e ) 4", "output": [ "e" ] }, { "id": "task1420-19437ecb247647c6a5ab3d6036b50bb7", "input": "Problem: a car travels from point a to point b . the average speed of the car is 60 km / hr and it travels the first half of the trip at a speed of 48 km / hr . what is the speed of the car in the second half of the trip ? \nOptions: a ) 72 , b ) 75 , c ) 80 , d ) 84 , e ) 90", "output": [ "c" ] }, { "id": "task1420-32ea9b3fd63e4d4a8f3ff5226b923aa0", "input": "Problem: an integer n between 1 and 100 , inclusive , is to be chosen at random . what is the probability that n ( n + 2 ) will be divisible by 2 ? \nOptions: a ) 1 / 9 , b ) 1 / 3 , c ) 1 / 2 , d ) 2 / 3 , e ) 5 / 6", "output": [ "c" ] }, { "id": "task1420-78b223e12ed74b57a0940edd424a6d07", "input": "Problem: how many multiples of 5 are there between 5 to 100 ? \nOptions: a ) 9 , b ) 18 , c ) 17 , d ) none of these , e ) can not be determined", "output": [ "b" ] }, { "id": "task1420-7bf12b6531b44374ac429c1ea1662b5c", "input": "Problem: 6 chess players take part in a tournament . every player plays twice with each of his opponents . how many games are to be played ? \nOptions: a ) 19 , b ) 20 , c ) 30 , d ) 33 , e ) 34", "output": [ "c" ] }, { "id": "task1420-89d8368a8e9f4590b77655f261d42965", "input": "Problem: a clock store sold a certain clock to a collector for 35 percent more than the store had originally paid for the clock . when the collector tried to resell the clock to the store , the store bought it back at 15 percent of what the collector had paid . the shop then sold the clock again at a profit of 65 percent on its buy - back price . if the difference between the clock ' s original cost to the shop and the clock ' s buy - back price was $ 105 , for how much did the shop sell the clock the second time ? \nOptions: a ) $ 75.44 , b ) $ 88.23 , c ) $ 64.77 , d ) $ 54.32 , e ) $ 43.99", "output": [ "e" ] }, { "id": "task1420-6867ae6c2001465dab8b2eb96f42dcf8", "input": "Problem: marts income is 50 percent more than tims income and tims income is 40 percent less than juans income . what percentage of juans income is marts income \nOptions: a ) 124 % , b ) b ) 120 % , c ) c ) 96 % , d ) d ) 90 % , e ) e ) 64 %", "output": [ "d" ] }, { "id": "task1420-b6495e9e4bd9463b9a017948ead36048", "input": "Problem: x + ( 1 / x ) = 3 find x ^ 2 + ( 1 / x ^ 2 ) \nOptions: a ) 2.25 , b ) 7 , c ) 4.25 , d ) 5.25 , e ) 6.25", "output": [ "b" ] }, { "id": "task1420-bac6994f63ab4b858cb41e1b8bfbd613", "input": "Problem: the sum of the present ages of two persons a and b is 60 . if the age of a is twice that of b , find the sum of their ages 2 years hence ? \nOptions: a ) 58 , b ) 59 , c ) 64 , d ) 70 , e ) 74", "output": [ "c" ] }, { "id": "task1420-34416f9e81a7441dae4b0dda86f785f1", "input": "Problem: there are 6 more women than there are men on a local co - ed softball team . if there are a total of 16 players on the team , what is the ratio of men to women ? \nOptions: a ) 10 / 16 , b ) 6 / 16 , c ) 4 / 16 , d ) 5 / 11 , e ) 4 / 10", "output": [ "d" ] }, { "id": "task1420-b7201e2d6d5140f3bcc7b766bed26537", "input": "Problem: a line that passes through ( – 2 , – 4 ) and ( 3 , k ) has a slope = k . what is the value of k ? \nOptions: a ) 3 / 4 , b ) 1 , c ) 4 / 3 , d ) 2 , e ) 7 / 2", "output": [ "b" ] }, { "id": "task1420-37b7fd61a3b749ac99bd11854f493e3e", "input": "Problem: if x and y are integers and | x - y | = 10 , what is the minimum possible value of xy ? \nOptions: a ) - 9 , b ) - 18 , c ) - 24 , d ) - 25 , e ) - 48", "output": [ "d" ] }, { "id": "task1420-c19e0b0486e04f7ba83148f63e5da10b", "input": "Problem: if 2464 / 1.12 = 2200 , then 246.4 / 11.2 is equal to ? \nOptions: a ) 24 , b ) 23 , c ) 22 , d ) 21 , e ) 25", "output": [ "c" ] }, { "id": "task1420-8d28eb61b6c6427d9b05acb2b8d9250e", "input": "Problem: if 21 / 22 = 0 . 95.45 , what is the 57 th digit to the right of the decimal point of the fraction ? \nOptions: a ) 1 , b ) 4 , c ) 5 , d ) 7 , e ) 9", "output": [ "b" ] }, { "id": "task1420-5bf956c5ca734a6dbb49eceeed0ecf52", "input": "Problem: rs . 6490 is divided so that 4 times the first share , six times the 2 nd share and twice the third share amount to the same . what is the value of the first share ? \nOptions: a ) s 6490 , b ) s 1880 , c ) s 1660 , d ) s 1550 , e ) s 1770", "output": [ "e" ] }, { "id": "task1420-5da6aff607de40c5a4003c6bdbdd4cac", "input": "Problem: addison high school ’ s senior class has 300 boys and 240 girls . if 60 % of the boys attended the college then 60 % of the total class attended college , what percentage of the girls class attended college ? \nOptions: a ) 60 , b ) 50 , c ) 46 , d ) 55.56 , e ) 65", "output": [ "a" ] }, { "id": "task1420-a36e731e3f1942a4994f51cfe6466efe", "input": "Problem: patrick purchased 90 pencils and sold them at a loss equal to the selling price of 40 pencils . the cost of 90 pencils is how many times the selling price of 90 pencils ? \nOptions: a ) 0.75 , b ) 0.8 , c ) 1 , d ) 1.2 , e ) 1.44", "output": [ "e" ] }, { "id": "task1420-4cb41228da234ed4b4c8abe65a09e903", "input": "Problem: solution x is 10 percent alcohol by volume , and solution y is 30 percent alcohol by volume . how many milliliters of solution y must be added to 200 milliliters of solution x to create a solution that is 20 percent alcohol by volume ? \nOptions: a ) 200 , b ) 300 , c ) 400 , d ) 500 , e ) 600", "output": [ "a" ] }, { "id": "task1420-ff8f1698acc943aaac486741ccc5fb3f", "input": "Problem: what is the remainder if 7 ^ 4 is divided by 100 ? \nOptions: a ) 5 , b ) 4 , c ) 1 , d ) 2 , e ) 10", "output": [ "c" ] }, { "id": "task1420-b0ad6e61d6994ae6a27090cdc7cddfd2", "input": "Problem: what is the remainder of r = 3 ^ 19 when divided by 10 ? \nOptions: a ) 0 , b ) 1 , c ) 5 , d ) 7 , e ) 9", "output": [ "d" ] }, { "id": "task1420-3751ea14437d478e9365b0ebe69daed5", "input": "Problem: the unit digit in the product 1256 * 6785 * 4587 * 9785 is ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4", "output": [ "a" ] }, { "id": "task1420-cc0e9a5212b84b4a8aaabbdc3a7bb29e", "input": "Problem: when 2 / 9 of the votes on a certain resolution have been counted , 3 / 4 of those counted are in favor of the resolution . what fraction e of the remaining votes must be against the resolution so that the total count will result in a vote of 2 to 1 against the resolution ? \nOptions: a ) 11 / 14 , b ) 13 / 18 , c ) 4 / 7 , d ) 3 / 7 , e ) 3 / 14", "output": [ "a" ] }, { "id": "task1420-12c602c85653407ba80375a2377e42f7", "input": "Problem: find the average of first 5 multiples of 5 ? \nOptions: a ) 10 , b ) 15 , c ) 12.5 , d ) 13 , e ) 21", "output": [ "b" ] }, { "id": "task1420-80162864c7d9498db22a01505f9ab9fb", "input": "Problem: in august , a cricket team that played 120 matches won 24 % of the games it played . after a continuous winning streak , this team raised its average to 52 % . how many matches did the team win to attain this average ? \nOptions: a ) 40 , b ) 52 , c ) 68 , d ) 70 , e ) 98", "output": [ "d" ] }, { "id": "task1420-09333edad1fc403ab2b8407167ef26bb", "input": "Problem: if pintu is coded as 79523 in a certain code language , how would you code mumbo in the same language ? \nOptions: a ) 43426 , b ) 14236 , c ) 13436 , d ) 14263 , e ) 15263", "output": [ "a" ] }, { "id": "task1420-3bc7a8b5da084da8a04c615ff452e382", "input": "Problem: a confectioner decides to sell all of his pastry due to the coming holiday . his pastry goods are equally divided among a group of 28 regular customers . if only 49 customers come to the bakery , each one will receive 6 less pastry goods . how much pastry does the confectioner needs to sell ? \nOptions: a ) 392 , b ) 412 . , c ) 432 . , d ) 502 , e ) 522", "output": [ "a" ] }, { "id": "task1420-399c41c288cc4fb3a447fbee6090c247", "input": "Problem: 65 % of x = 20 % of 422.50 . find the value of x ? \nOptions: a ) 100 , b ) 130 , c ) 150 , d ) 180 , e ) 199", "output": [ "b" ] }, { "id": "task1420-36a35a4cc18144fc8716870d827e0ca9", "input": "Problem: in how many ways can a teacher write an answer key for a mini - quiz that contains 3 true - false questions followed by 2 multiples - choice questions with 4 answer choices each , if the correct answers to all true - false questions can not be the same ? \nOptions: a ) 88 , b ) 90 , c ) 96 , d ) 98 , e ) 102", "output": [ "c" ] }, { "id": "task1420-26153bae9cfb4a1dbca4926a38864a44", "input": "Problem: the average age of 7 men increases by 4 years when two women are included in place of two men of ages 26 and 30 years . find the average age of the women ? \nOptions: a ) 42 , b ) 40 , c ) 30 , d ) 18 , e ) 11", "output": [ "a" ] }, { "id": "task1420-250507b5d8254d198957750c58132e52", "input": "Problem: for a certain art exhibit , a museum sold admission tickets to a group of 50 people every 5 minutes from 9 : 00 in the morning to 5 : 55 in the afternoon , inclusive . the price of a regular admission ticket was $ 10 and the price of a student ticket was $ 6 . if on one day 3 times as many regular admission tickets were sold as student tickets , what was the total revenue from ticket sales that day ? \nOptions: a ) $ 24960 , b ) $ 25920 , c ) $ 28080 , d ) $ 38500 , e ) $ 48600", "output": [ "e" ] }, { "id": "task1420-f94bda8a6f804efa99775faca6ab87bc", "input": "Problem: in a competitive examination in state a , 6 % candidates got selected from the total appeared candidates . state b had an equal number of candidates appeared and 7 % candidates got selected with 79 more candidates got selected than a . what was the number of candidates appeared from each state ? \nOptions: a ) 7000 , b ) 7900 , c ) 6000 , d ) 5000 , e ) 4000", "output": [ "b" ] }, { "id": "task1420-5e299f0fa5554d9e985a3666a9edd0d9", "input": "Problem: for any positive integer n , the sum of the first n positive integers equals n ( n + 1 ) / 2 . what is the sum s of all the even integers between 99 and 301 ? \nOptions: a ) 10,100 , b ) 20,200 , c ) 22,650 , d ) 40,200 , e ) 45,150", "output": [ "b" ] }, { "id": "task1420-4ff1517e9b464aaeaf7572eabe933a86", "input": "Problem: the toll for crossing a certain bridge is $ 0.75 each crossing . drivers who frequently use the bridge may instead purchase a sticker each month for $ 11.00 and then pay only $ 0.30 each crossing during that month . if a particular driver will cross the bridge twice on each of x days next month and will not cross the bridge on any other day , what is the least value of x for which this driver can save money by using the sticker ? \nOptions: a ) 14 , b ) 15 , c ) 16 , d ) 28 , e ) 29", "output": [ "e" ] }, { "id": "task1420-b38436784eaf46c799d23d80a246183f", "input": "Problem: what is ( 19 ^ 7 + 19 ) / 19 ? \nOptions: a ) 45225766 , b ) 46855821 , c ) 47045882 , d ) 48925947 , e ) 49325989", "output": [ "c" ] }, { "id": "task1420-184cd79ded3c4379a720f6957e97e994", "input": "Problem: ashok secured average of 78 marks in 6 subjects . if the average of marks in 5 subjects is 74 , how many marks did he secure in the 6 th subject ? \nOptions: a ) 66 , b ) 74 , c ) 78 , d ) 98 , e ) none of these", "output": [ "d" ] }, { "id": "task1420-2ae06d1e49cf49adaf2658f1662ae5c8", "input": "Problem: set x consists of 5 integers and has median of 20 and a range of 20 . what is the value of the greatest possible integer that can be present in the set ? \nOptions: a ) 20 , b ) 37 , c ) c . 40 , d ) 43 , e ) 50", "output": [ "a" ] }, { "id": "task1420-6763abcc9b214d758ee0c4ed8513a689", "input": "Problem: how many two - digit numbers yield a remainder of 1 when divided by both 6 and 15 ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4", "output": [ "c" ] }, { "id": "task1420-09dd0e93aa5d44f0b08e3ed1fdf8ffd7", "input": "Problem: a rower whose speed is 8 km / hr in still water rows to a certain point upstream and back to the starting point in a river which flows at 4 km / hr . what is the rower ' s average speed ( in km / hr ) for the total journey ? \nOptions: a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 9", "output": [ "b" ] }, { "id": "task1420-716ef90b83e54dbaa076895a59edfa7c", "input": "Problem: x varies inversely as square of y . given that y = 3 for x = 1 . the value of x for y = 5 will be equal to : \nOptions: a ) 3 , b ) 6 , c ) 1 / 9 , d ) 1 / 3 , e ) 9 / 25", "output": [ "e" ] }, { "id": "task1420-fc682a063bd94986ba8ffb7acc6d7932", "input": "Problem: jar y has 10 % more marbles than jar x . what percent of marbles from jar y need to be moved into x so that both jars have equal marbles \nOptions: a ) 4.54 % , b ) 9.09 % , c ) 10 % , d ) 11 % , e ) 12.25 %", "output": [ "a" ] }, { "id": "task1420-de14aa3e30434d3c84f5b97b770e683e", "input": "Problem: what is the greatest number that divides 263 , 935 and 1383 leaving a remainder of 7 in each case ? \nOptions: a ) 30 , b ) 31 , c ) 32 , d ) 35 , e ) 37", "output": [ "c" ] }, { "id": "task1420-6323e0646fd046778d993014b2b22f0e", "input": "Problem: the average age of 36 students in a group is 14 years . when teacher ’ s age is included to it , the average increases by one . what is the teacher ’ s age in years ? \nOptions: a ) 31 , b ) 36 , c ) 41 , d ) 51 , e ) none", "output": [ "d" ] }, { "id": "task1420-542be3c66c634394b0d58fd30074ce7b", "input": "Problem: a number when divided by 342 gives a remainder 47 . when the same number ift divided by 19 , what would be the remainder ? \nOptions: a ) 7 , b ) 8 , c ) 9 , d ) 21 , e ) 14", "output": [ "c" ] }, { "id": "task1420-d50334ea206645c3938509b250593be4", "input": "Problem: a batsman scored 120 runs which included 3 boundaries and 8 sixes . what percent of his total score did he make by running between the wickets . \nOptions: a ) 40 % , b ) 50 % , c ) 60 % , d ) 70 % , e ) 75 %", "output": [ "b" ] }, { "id": "task1420-9930af8ca163479bb7c44c3d619dfba0", "input": "Problem: a company produces on an average 4000 items per month for the first 3 months . how many items it must produce on an average per month over the next 9 months , to average of 4375 items per month over the whole ? \nOptions: a ) 4500 , b ) 4600 , c ) 4680 , d ) 4710 , e ) none", "output": [ "a" ] }, { "id": "task1420-7034490c4fbb48a08fecd3cb4de91a34", "input": "Problem: total 52 matches are conducted in knockout match type . how many players will be participated in that tournament ? \nOptions: a ) 60 , b ) 51 , c ) 53 , d ) 56 , e ) 50", "output": [ "b" ] }, { "id": "task1420-d55a7f1082754749869ab11367c09c1b", "input": "Problem: what is the minimum possible range in scores of the 3 test - takers ? 3 people each took 5 tests . if the ranges of their scores in the 5 practice tests were 18 , 26 and 32 . \nOptions: a ) 26 , b ) 32 , c ) 18 , d ) 20 , e ) 30", "output": [ "e" ] }, { "id": "task1420-9039b5a3a4f240d4bf447d6106dfb65c", "input": "Problem: how many different values of positive integer x , for which | x + 4 | < x , are there ? \nOptions: a ) 0 , b ) 2 , c ) 3 , d ) 8 , e ) 16", "output": [ "d" ] }, { "id": "task1420-1436beec163b474d9c6ffec6e7876547", "input": "Problem: if ( 1 / 2 ) ^ 18 ( 1 / 81 ) ^ k = 1 / 18 ^ 18 , then k = \nOptions: a ) 9 , b ) 12 , c ) 16 , d ) 24 , e ) 36", "output": [ "a" ] }, { "id": "task1420-99e7b48f23534983a4585efbee9eb7ff", "input": "Problem: the initial price of an article is rs . 6000 which increases 40 % increse in its price in the first year , a 20 % decrease in the second year and a 20 % increase in the next year . what is the final price of the article ? \nOptions: a ) rs . 5392 , b ) rs . 6392 , c ) rs . 8392 , d ) rs . 7392 , e ) rs . 9392", "output": [ "d" ] }, { "id": "task1420-344f371aa65c41de9d708385c17deb89", "input": "Problem: what is the greatest integer m for which the number 40 ! / 10 ^ m is an integer ? \nOptions: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11", "output": [ "c" ] }, { "id": "task1420-1a2357b436644938bd753ce3ea38612a", "input": "Problem: the average ( arithmetic mean ) monthly income of 4 workers is $ 1000 . after one worker ’ s income increases by 50 percent the new average income is $ 1200 . what was the original income of the worker whose monthly income increased ? \nOptions: a ) $ 1,800 , b ) $ 1,500 , c ) $ 1,300 , d ) $ 1,600 , e ) $ 1,100", "output": [ "d" ] }, { "id": "task1420-6487b65128b74ee89a568addd81e694e", "input": "Problem: the price of a bushel of corn is currently $ 3.20 , and the price of a peck of wheat is $ 9.80 . the price of corn is increasing at a constant rate of 5 x cents per day while the price of wheat is decreasing at a constant rate of x ( 2 ^ 1 / 2 ) - x cents per day . what is the approximate price when a bushel of corn costs the same amount as a peck of wheat ? \nOptions: a ) $ 4.50 , b ) $ 5.10 , c ) $ 9.30 , d ) $ 5.50 , e ) $ 5.60", "output": [ "c" ] }, { "id": "task1420-343ae261b033496d84b975807c472290", "input": "Problem: what least number should be subtracted from 1,439 so that the remainder when divided by 5 , 11 , and 13 will leave in each case the same remainder 3 ? \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6", "output": [ "e" ] }, { "id": "task1420-abffca49f056482797a546364fae481b", "input": "Problem: for 6 - digit integer 46 x , y 12 , when x and y are drawn at random from { 3 , 58 } , what is the probability w that the integer drawn is divisible by 8 ? * a solution will be posted in two days . \nOptions: a ) 1 / 6 , b ) 1 / 3 , c ) 1 / 2 , d ) 2 / 3 , e ) 5 / 6", "output": [ "d" ] }, { "id": "task1420-7ec43c07f369469691be813194d9d93d", "input": "Problem: if - 2 and - 3 are negative integers , then - 2 * - 3 + 2 is \nOptions: a ) - 5 , b ) 8 , c ) - 6 , d ) - 3 , e ) - 8", "output": [ "b" ] }, { "id": "task1420-4b62f7cb1186484d83abd785d0e44c8a", "input": "Problem: if one positive integer is greater than another positive integer by 4 , and the difference of their cubes is 208 , what is their sum ? \nOptions: a ) 8 , b ) 10 , c ) 12 , d ) 14 , e ) 16", "output": [ "a" ] }, { "id": "task1420-8fb2306714cc430db2b35b668cb405f6", "input": "Problem: if q = x ^ 4 + y ^ 4 = 100 , then the greatest possible value of x is between \nOptions: a ) 0 and 3 , b ) 3 and 6 , c ) 6 and 9 , d ) 9 and 12 , e ) 12 and 15", "output": [ "b" ] }, { "id": "task1420-b5939375468b48dbb6d015960d7df884", "input": "Problem: 5359 x 51 = ? \nOptions: a ) 273232 , b ) 273243 , c ) 273247 , d ) 273250 , e ) 273309", "output": [ "e" ] }, { "id": "task1420-ee5c2a6b32e243c4bad580b68c3c99e9", "input": "Problem: a library has an average of 510 visitors on sundays and 240 on other day . the average number of visitors in a month of 10 days starting with sunday is \nOptions: a ) 280 , b ) 285 , c ) 290 , d ) 855 , e ) 275", "output": [ "d" ] }, { "id": "task1420-2d8ed9b3d7d940a5b49856e128396793", "input": "Problem: solution x is 10 percent alcohol by volume , and solution y is 30 percent alcohol by volume . how many milliliters of solution y must be added to 150 milliliters of solution x to create a solution that is 25 percent alcohol by volume ? \nOptions: a ) 250 / 3 , b ) 500 / 3 , c ) 400 , d ) 450 , e ) 600", "output": [ "d" ] }, { "id": "task1420-0f3a4dbbe0c641c38c9ae2ec4c2036a9", "input": "Problem: if x = 7 and y = − 2 , what is the value of ( x − 2 y ) ^ y ? \nOptions: a ) − 100 , b ) 0.001 , c ) 0.25 , d ) 4 , e ) 8", "output": [ "b" ] }, { "id": "task1420-868d62deee5b4282b3a964c14f564547", "input": "Problem: a 5 - digit number is formed by the digits 2 , 45 , 68 ( each digit used exactly once ) . what is the probability that the number formed is divisible by 4 ? \nOptions: a ) 2 / 5 , b ) 3 / 5 , c ) 4 / 5 , d ) 6 / 5 , e ) 7 / 5", "output": [ "a" ] }, { "id": "task1420-adb65d7bea86431c99d3edf932da9cd8", "input": "Problem: the sum of the present ages of two persons a and b is 60 . if the age of a is twice that of b , find the sum of their ages 10 years hence ? \nOptions: a ) 58 , b ) 59 , c ) 62 , d ) 70 , e ) 80", "output": [ "e" ] }, { "id": "task1420-21f2ec6ee92f43a2bffc698cbc9c68dc", "input": "Problem: the average of first five multiples of 7 is \nOptions: a ) 21 , b ) 6 , c ) 9 , d ) 12 , e ) 15", "output": [ "a" ] }, { "id": "task1420-388051d86c30479fae5b2efe20c964af", "input": "Problem: what is the largest integral value of ' k ' for which the quadratic equation x 2 - 6 x + k = 0 will have two real and distinct roots ? \nOptions: a ) 9 , b ) 7 , c ) 3 , d ) 8 , e ) 12", "output": [ "d" ] }, { "id": "task1420-6a7752ffd0c745f2981d58afc0eebf54", "input": "Problem: the average salary of all the workers in a workshop is rs . 8000 . the average salary of 6 technicians is rs . 12000 and the average salary of the rest is rs . 6000 . the total number of workers in the workshop is ? \nOptions: a ) a ) 23 , b ) b ) 21 , c ) c ) 18 , d ) d ) 56 , e ) e ) 12", "output": [ "c" ] }, { "id": "task1420-547789a770454bb68ea556bc2638c411", "input": "Problem: if 350 ! / 10 ^ n is an integer , what is the largest possible value of n ? \nOptions: a ) 88 , b ) 82 , c ) 86 , d ) 87 , e ) 80", "output": [ "c" ] }, { "id": "task1420-728aab66ab284b4aa1b19c9f14dfda08", "input": "Problem: if the product of 4 integers is negative , at most how many of the integers can be negative ? \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6", "output": [ "b" ] }, { "id": "task1420-58e640cf8ece4546aac65354bb2df855", "input": "Problem: find the average of all prime numbers between 40 and 80 . \nOptions: a ) 59.4 , b ) 56 , c ) 39.8 , d ) 44.9 , e ) none", "output": [ "a" ] }, { "id": "task1420-b1f501c03d6847a4a32d1f4a9f76c831", "input": "Problem: if n is a positive integer , what is the remainder when ( 6 ^ ( 4 n + 3 ) ) ( 6 ^ n ) is divided by 10 ? \nOptions: a ) 7 , b ) 2 , c ) 4 , d ) 6 , e ) 8", "output": [ "a" ] }, { "id": "task1420-cb21206695134467b4bea56a9d7d2da9", "input": "Problem: on dividing 172 by a number , the quotient is 10 and the remainder is 2 . find the divisor . \nOptions: a ) 9 , b ) 11 , c ) 13 , d ) 15 , e ) 17", "output": [ "e" ] }, { "id": "task1420-d3366f46bc9c4cdf89714c30578c3fb3", "input": "Problem: elvin ' s monthly telephone bill is the sum of the charge for the calls he made during the month and a fixed monthly charge for internet service . elvin ' s total telephone bill for january was $ 48 and elvin ' s total telephone bill for february was 90 $ . if elvin ' s charge for the calls he made in february was twice the charge for the calls he made in january , what is elvin ' s fixed monthly charge for internet service ? \nOptions: a ) $ 5 , b ) $ 10 , c ) $ 14 , d ) $ 6 , e ) $ 28", "output": [ "d" ] }, { "id": "task1420-a7d0336e00804de2b954e862bcdbac2a", "input": "Problem: arjun started a business with rs . 40,000 and is joined afterwards by anoop with rs . 80 , 000 . after how many months did anoop join if the profits at the end of the year are divided equally ? \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "d" ] }, { "id": "task1420-7ea50e88e6b446dd85d4628b6edb0e00", "input": "Problem: if f ( f ( n ) ) + f ( n ) = 2 n + 3 , f ( 0 ) = 1 then f ( 2014 ) = ? \nOptions: a ) 2015 , b ) 2088 , c ) 270 , d ) 1881 , e ) 1781", "output": [ "a" ] }, { "id": "task1420-7ad00cbd53e843d8977829998777d975", "input": "Problem: one half of a two digit number exceeds its one fourth by 3 . what is the sum of the digits of the number ? \nOptions: a ) 3 , b ) 9 , c ) 11 , d ) 12 , e ) 15", "output": [ "a" ] }, { "id": "task1420-150fa693f81b47189f5ac3dad6bf5b0e", "input": "Problem: find value for x from given equation ? x + 1 = - 3 \nOptions: a ) 1 , b ) x = - 4 , c ) - 3 , d ) - 5 , e ) 5", "output": [ "b" ] }, { "id": "task1420-ef8254a959e24a0cad01d7d4487a582e", "input": "Problem: in the xy - coordinate plane , the graph of y = - x ^ 2 + 9 intersects line l at ( p , 5 ) and ( t , 7 ) . what is the least possible value of the slope of line l ? \nOptions: a ) 6 , b ) 2 , c ) - 2 , d ) 1 , e ) - 10", "output": [ "d" ] }, { "id": "task1420-f438b9b3520a4247a5660397bf3f95eb", "input": "Problem: 3 - twentieths of the members of a social club are retirees who are also bridge players , 5 - twentieths of the members are retirees , and one - half of the members are bridge players . if 120 of the members are neither retirees nor bridge players , what is the total number of members in the social club ? \nOptions: a ) 240 , b ) 300 , c ) 200 , d ) 400 , e ) 480", "output": [ "c" ] }, { "id": "task1420-b2b36ee721af4ba8b524c420ccca9445", "input": "Problem: a completes a piece of work in 3 / 4 of the time in b does , b takes 4 / 5 of the time in c does . they got a profit of rs . 40000 how much b gets ? \nOptions: a ) 12765 , b ) 121227 , c ) 26887 , d ) 19977 , e ) 26992", "output": [ "a" ] }, { "id": "task1420-53d04581b95940b2877fe05c92be047f", "input": "Problem: in a company of 16 employees , 8 employees earn $ 38,000 , 4 employees earn $ 42,000 , and the 4 highest - paid employees earn the same amount . if the average annual salary for the 16 employees is $ 44,000 , what is the annual salary for each of the highest - paid employees ? \nOptions: a ) $ 54,000 , b ) $ 55,000 , c ) $ 56,000 , d ) $ 57,000 , e ) $ 58,000", "output": [ "e" ] }, { "id": "task1420-62ff9973865147eea79c72782699329d", "input": "Problem: when a number is divided by 6 & then multiply by 12 the answer is 10 what is the no . ? \nOptions: a ) 4.5 , b ) 5 , c ) 5.6 , d ) 5.7 , e ) 6.5", "output": [ "b" ] }, { "id": "task1420-e447d26377604f178e9164c3544ebc6f", "input": "Problem: the average weight of a , b and c is 45 kg . if the average weight of a and b be 40 kg and that of b and c be 47 kg , then the weight of b is : \nOptions: a ) 39 kg , b ) 32 kg , c ) 33 kg , d ) 34 kg , e ) none of these", "output": [ "a" ] }, { "id": "task1420-accc87f3846b49809422ecde6e20d7d2", "input": "Problem: if the price of a certain computer increased 30 percent from d dollars to 377 dollars , then 2 d = \nOptions: a ) 540 , b ) 570 , c ) 619 , d ) 649 , e ) 580", "output": [ "e" ] }, { "id": "task1420-9440b976fb6f48ceb243935af86bdbac", "input": "Problem: john want to buy a $ 100 trouser at the store , but he think it ’ s too expensive . finally , it goes on sale for $ 50 . what is the percent decrease ? \nOptions: a ) 20 % , b ) 30 % , c ) 50 % , d ) 70 % , e ) 80 %", "output": [ "c" ] }, { "id": "task1420-69ae31a132884e02b4ed3bc262ad4036", "input": "Problem: find the ones digit of 73 ^ 351 \nOptions: a ) 3 , b ) 5 , c ) 6 , d ) 7 , e ) 9", "output": [ "d" ] }, { "id": "task1420-b25be792baa14d36bd8c3ff9c30e6247", "input": "Problem: ( 17 ) 3.75 x ( 17 ) ? = 178 \nOptions: a ) 2.29 , b ) 2.75 , c ) 4.25 , d ) 4.5 , e ) none of these", "output": [ "c" ] }, { "id": "task1420-7168787e19714bb9bccd3e3169e34ac8", "input": "Problem: if 5 ^ 5 × 5 ^ 7 = ( 5 ^ 4 ) ^ x , then what is the value of x ? \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6", "output": [ "b" ] }, { "id": "task1420-d559705112b94ed39dcd3bbdc9407d6e", "input": "Problem: x is a positive integer of t less than 500 . when x is divided by 7 , the remainder is 1 ; when x is divided by 3 , the remainder is 2 . how many x are there ? \nOptions: a ) 21 , b ) 22 , c ) 23 , d ) 24 , e ) 25", "output": [ "d" ] }, { "id": "task1420-8b2fa3b3e36248b181eb69b458b0c4d3", "input": "Problem: what is the difference between the largest number and the least number written with the digits 9 , 3 , 1 , 2 ? \nOptions: a ) 6084 , b ) 3788 , c ) 2077 , d ) 8082 , e ) 1812", "output": [ "d" ] }, { "id": "task1420-2e94e70cf87942099e68d343b960a5f5", "input": "Problem: the sum of the present ages of two persons a and b is 60 . if the age of a is twice that of b , find the sum of their ages 4 years hence ? \nOptions: a ) 22 , b ) 77 , c ) 70 , d ) 68 , e ) 71", "output": [ "d" ] }, { "id": "task1420-c23ca977d43f4dc3bc4b874de9e84ccc", "input": "Problem: find the largest number of 4 digits which is exactly divisible by 2718 , 1615 \nOptions: a ) 8600 , b ) 8610 , c ) 8620 , d ) 8630 , e ) 8640", "output": [ "e" ] }, { "id": "task1420-1774a7a8827a459980205b3c6d4bb69a", "input": "Problem: in the first m games of a team ' s season , the ratio of the team ' s wins to its losses was 3 : 1 . in the subsequent n games , the ratio of the team ´ s wins to losses was 1 : 4 . if m : n = 4 : 5 , what was the ratio of the team ' s wins to its losses for all m + n games ? \nOptions: a ) 1 : 2 , b ) 2 : 3 , c ) 3 : 4 , d ) 4 : 5 , e ) 5 : 6", "output": [ "d" ] }, { "id": "task1420-75c20e7b38ad4aa48ad50fe9a2ced953", "input": "Problem: the average weight of 20 persons sitting in a boat had some value . a new person added to them whose weight was 50 kg only . due to his arrival , the average weight of all the persons decreased by 5 kg . find the average weight of first 20 persons ? \nOptions: a ) 55 , b ) 56 , c ) 57 , d ) 58 , e ) 59", "output": [ "a" ] }, { "id": "task1420-328706940971432390d61ceee02fc2fc", "input": "Problem: if money is invested at r percent interest , compounded annually , the amount of investment will double in approximately 70 / r years . if pat ' s parents invested $ 8000 in a long term bond that pays 4 percent interest , compounded annually , what will be the approximate total amount of investment 36 years later , when pat is ready for college ? \nOptions: a ) $ 20000 , b ) $ 15000 , c ) $ 32000 , d ) $ 10000 , e ) $ 9000", "output": [ "c" ] }, { "id": "task1420-4a2c632812a64ea799560abd195cb8e2", "input": "Problem: what is the units digit of 3333 ^ ( 333 ) * 3333 ^ ( 222 ) ? \nOptions: a ) 0 , b ) 2 , c ) 4 , d ) 6 , e ) 8", "output": [ "d" ] }, { "id": "task1420-db9305471f9f4af6905a58fc3fe2789f", "input": "Problem: the average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 22 years . find the average age of the women ? \nOptions: a ) 87 , b ) 98 , c ) 30 , d ) 29 , e ) 37", "output": [ "d" ] }, { "id": "task1420-925c5085f7534462897408d8e6d5fb48", "input": "Problem: what is 2 3 / 4 - 1 2 / 5 divided by 2 / 3 - 1 / 3 ? \nOptions: a ) 17 / 36 , b ) 36 / 17 , c ) 7 / 6 , d ) 27 / 20 , e ) 51 / 44", "output": [ "d" ] }, { "id": "task1420-e07476b7456f4ea2858565946d048fae", "input": "Problem: in a can , there is a mixture of milk and water in the ratio 3 : 7 . if it is filled with an additional 8 litres of milk the can would be full and ratio of milk and water would become 4 : 7 . find the capacity of the can ? \nOptions: a ) 16.6 , b ) 44 , c ) 27 , d ) 50 , e ) 56", "output": [ "a" ] }, { "id": "task1420-0c5346b66544428d91acd7db9d613b18", "input": "Problem: the price of 3 pants and 6 t - shirts is rs . 1500 . with the same money one can buy 1 pant and 12 t - shirts . if one wants to buy 8 t - shirts , how much shall she have to pay ? \nOptions: a ) 700 , b ) 300 , c ) 250 , d ) 550 , e ) 800", "output": [ "e" ] }, { "id": "task1420-ce578fda8d5c459fa410e3cadbe8317e", "input": "Problem: set k contains every multiple of 6 from 18 to 306 inclusive . if w is the median of set k , and x is the average ( arithmetic mean ) of set k , what is the value of w - x ? \nOptions: a ) - 6 , b ) - 3 , c ) 0 , d ) 3 , e ) 6", "output": [ "c" ] }, { "id": "task1420-edde54847f7f4999bfa04d11ebb26fea", "input": "Problem: what is the sum of all the multiples of 10 between 0 and 100 ? \nOptions: a ) 500 , b ) 620 , c ) 550 , d ) 340 , e ) 440", "output": [ "c" ] }, { "id": "task1420-19e0bc43cc844365a5db022376cd77df", "input": "Problem: find the number which is nearest to 457 and is exactly divisible by 11 . \nOptions: a ) 450 , b ) 451 , c ) 460 , d ) 462 , e ) none", "output": [ "d" ] }, { "id": "task1420-7f9301e194c34e30bce21546b9bfadec", "input": "Problem: from 4 officers and 8 jawans in how many can 6 be chosen to include exactly one officer ? \nOptions: a ) 150 , b ) 164 , c ) 259 , d ) 311 , e ) 224", "output": [ "e" ] }, { "id": "task1420-e83d113eb89940f68fbf5935fe8a56aa", "input": "Problem: a grocer has a sale of rs . 5255 , rs . 5840 , rs . 5921 , rs . 6022 and rs . 6499 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 5500 ? \nOptions: a ) 3463 , b ) 4463 , c ) 5463 , d ) 4063 , e ) 5063", "output": [ "b" ] }, { "id": "task1420-699b342ebaa64fd6bed7f2cd766c1eaf", "input": "Problem: what is the next number : 2 , 17 , 257 , __ \nOptions: a ) 2977 , b ) 3837 , c ) 4097 , d ) 4847 , e ) 5387", "output": [ "c" ] }, { "id": "task1420-5a1b3c9a98fa4fd8b49ba5539224299a", "input": "Problem: a student has to obtain 33 % of the total marks to pass . he got 125 marks and failed by 40 marks . the maximum mark is \nOptions: a ) 600 , b ) 500 , c ) 400 , d ) 300 , e ) 800", "output": [ "b" ] }, { "id": "task1420-b827025dabc14cc189e1bf89f369bec3", "input": "Problem: every year an amount increases by 1 / 8 th of itself . how much will it be after two years if its present value is rs . 83200 ? \nOptions: a ) 81000 , b ) 81028 , c ) 105300 , d ) 29889 , e ) 22312", "output": [ "c" ] }, { "id": "task1420-498d7ad750d04e918ec9e20b6c60c2ee", "input": "Problem: given that p is a positive even integer with a positive units digit , if the units digit of p ^ 3 minus the units digit of p ^ 2 is equal to 0 , what is the units digit of p + 4 ? \nOptions: a ) 7 , b ) 8 , c ) 10 , d ) 11 , e ) 12", "output": [ "c" ] }, { "id": "task1420-87c8f3cd888a4b9f870526363cfc546e", "input": "Problem: if a - b = 3 and a ^ 2 + b ^ 2 = 29 , find the value of ab \nOptions: a ) 10 , b ) 12 , c ) 15 , d ) 18 , e ) 19", "output": [ "a" ] }, { "id": "task1420-9c9ed853403a447dbdea9d19f522d566", "input": "Problem: in an examination , there were 2,000 candidates , out of which 900 candidates were girls and rest were boys . if 30 % of the boys and 32 % of the girls passed , then the total percentage of failed candidates is ? \nOptions: a ) 35.67 % , b ) 64.75 % , c ) 68.57 % , d ) 69.10 % , e ) none of these", "output": [ "d" ] }, { "id": "task1420-c44f43dd4e1a4fbd96fc079e8b24c6e9", "input": "Problem: for a group of n people , k of whom are of the same sex , the ( n - k ) / n expression yields an index for a certain phenomenon in group dynamics for members of that sex . for a group that consists of 20 people , 8 of whom are females , by how much does the index for the females exceed the index for the males in the group ? \nOptions: a ) 0.05 , b ) 0.0625 , c ) 0.2 , d ) 0.25 , e ) 0.6", "output": [ "c" ] }, { "id": "task1420-f1beab8642fa4777a162311cf6668995", "input": "Problem: if 4 x + y = 34 , 2 x - y = 20 , for integers of x and y , y ^ 2 = ? \nOptions: a ) 2 , b ) 4 , c ) 0 , d ) 10 , e ) 3", "output": [ "b" ] }, { "id": "task1420-c5d2f9e6428e4d649c6b0acb966e583b", "input": "Problem: divide rs . 1200 among a , b and c so that a receives 1 / 3 as much as b and c together and b receives 2 / 3 as a and c together . a ' s share is ? \nOptions: a ) s . 800 , b ) s . 400 , c ) s . 600 , d ) s . 500 , e ) s . 300", "output": [ "e" ] }, { "id": "task1420-3d28b658131d437a8ba95a59f9dcbaba", "input": "Problem: in a certain apartment building , there are one - bedroom and two - bedroom apartments . the rental prices of the apartment depend on a number of factors , but on average , two - bedroom apartments have higher rental prices than do one - bedroom apartments . let m be the average rental price for all apartments in the building . if m is $ 700 higher than the average rental price for all one - bedroom apartments , and if the average rental price for all two - bedroom apartments is $ 2,100 higher that m , then what percentage of apartments in the building are two - bedroom apartments ? \nOptions: a ) 25 % , b ) 15 % , c ) 20 % , d ) 40 % , e ) 45 %", "output": [ "a" ] }, { "id": "task1420-d3501dbed4214e74818724d09410389c", "input": "Problem: the cost of registration at a professional association meeting was $ 50 per person ; a lunch for registrants only was available for an additional $ 22 per person . if the number of registrants who paid for lunch was 10 more than the number who did not , and if receipts for registration and lunch totaled $ 61720 , how many people paid just for registration at the meeting ? \nOptions: a ) 700 , b ) 800 , c ) 1,300 , d ) 500 , e ) 1,800", "output": [ "d" ] }, { "id": "task1420-e44ff3862ade4bd4aa193a29556b3cff", "input": "Problem: find the average of all the numbers between 6 and 34 which are divisible by 5 ? \nOptions: a ) 32 , b ) 20 , c ) 28 , d ) 11 , e ) 18", "output": [ "b" ] }, { "id": "task1420-7f30d1e546f348749f88a8bf3a44c11d", "input": "Problem: a pupil ' s marks were wrongly entered as 83 instead of 63 . due to the average marks for the class got increased by half . the number of pupils in the class is ? \nOptions: a ) 13 , b ) 18 , c ) 40 , d ) 82 , e ) 43", "output": [ "c" ] }, { "id": "task1420-2308b7867a594bd296357c527d871dc7", "input": "Problem: 5 is added to a certain number , the sum is multiplied by 5 , the product is divided by 5 and 5 is subtracted from the quotient . the remainder left is half of 60 . what is the number ? \nOptions: a ) 21 , b ) 20 , c ) 2 , d ) 30 , e ) 45", "output": [ "c" ] }, { "id": "task1420-4bf628985d45489c8e2a6154d8f8e406", "input": "Problem: the average age of applicants for a new job is 30 , with a standard deviation of 7 . the hiring manager is only willing to accept applications whose age is within one standard deviation of the average age . what is the maximum number of different ages of the applicants ? \nOptions: a ) 8 , b ) 14 , c ) 15 , d ) 18 , e ) 30", "output": [ "c" ] }, { "id": "task1420-4d1158905f084da69264e01751e6fea8", "input": "Problem: cereal a is 11 % sugar by weight , whereas healthier but less delicious cereal b is 2 % sugar by weight . to make a delicious and healthy mixture that is 3 % sugar , what should be the ratio of cereal a to cereal b , by weight ? \nOptions: a ) 2 : 9 , b ) 3 : 7 , c ) 2 : 5 , d ) 1 : 8 , e ) 1 : 5", "output": [ "d" ] }, { "id": "task1420-e70e5f4141cb4d2f98ae0518ddfb317e", "input": "Problem: a 6 - liter solution is 30 % alcohol . how many liters of pure alcohol must be added to produce a solution that is 50 % alcohol ? \nOptions: a ) 1.8 , b ) 2.1 , c ) 2.4 , d ) 2.7 , e ) 3.0", "output": [ "c" ] }, { "id": "task1420-399d79810d7544aa97c569cf576bf174", "input": "Problem: workers in a factory store products inside two different sized boxes . the bigger of the boxes can store 50 products while the smaller box can store 40 products . if a fresh batch of products numbering 212 in total were to be stored , what is the least number of products that will not be boxed ? \nOptions: a ) 23 , b ) 11 , c ) 2 , d ) 10 , e ) 12", "output": [ "e" ] }, { "id": "task1420-99ce837c1ea9438895db1321db2dd74e", "input": "Problem: if | 20 x - 10 | = 190 , then find the product of the values of x ? \nOptions: a ) - 45 , b ) 50 , c ) - 62 , d ) 35 , e ) - 90", "output": [ "e" ] }, { "id": "task1420-e3611953d0344ebc8d929379854c7cc8", "input": "Problem: what is the sum of all 3 digit numbers that leave a remainder of ' 2 ' when divided by 8 ? \nOptions: a ) 61,600 , b ) 64,850 , c ) 64,749 , d ) 49,700 , e ) 56,720", "output": [ "a" ] }, { "id": "task1420-4777102fd3564b85b82189d8902152ec", "input": "Problem: the average ( arithmetic mean ) of 20 , 40 , and 60 is 5 more than the average of 10 , 60 , and what number ? \nOptions: a ) 30 , b ) 35 , c ) 40 , d ) 45 , e ) 55", "output": [ "b" ] }, { "id": "task1420-6f8097aff59f4c29a2b3d46c92ebadee", "input": "Problem: how many integers are divisible by 3 between 10 ! and 10 ! + 20 inclusive ? \nOptions: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10", "output": [ "b" ] }, { "id": "task1420-bfb42eacdee94015969eceaee3ef1dc1", "input": "Problem: after 6 games , team b had an average of 75 points per game . if it got only 47 points in game 7 , how many more points does it need to score to get its total above 500 ? \nOptions: a ) 5 , b ) 4 , c ) 7 , d ) 3 , e ) 8", "output": [ "d" ] }, { "id": "task1420-63ba3ddebd584f4c9085a93e0faae71e", "input": "Problem: the average of 10 consecutive integers is 15 . then , 9 is deducted from the first consecutive number , 8 is deducted from the second , 7 is deducted form the third , and so on until the last number which remains unchanged . what is the new average ? \nOptions: a ) 10 , b ) 10.5 , c ) 11 , d ) 11.5 , e ) 12", "output": [ "b" ] }, { "id": "task1420-28b77c7afb504faeb3b9c21ad2107b89", "input": "Problem: the average salary of 15 people in the shipping department at a certain firm is $ 21,000 . the salary of 5 of the employees is $ 25,000 each and the salary of 4 of the employees is $ 16,000 each . what is the average salary of the remaining employees ? \nOptions: a ) $ 19,250 , b ) $ 18,500 , c ) $ 21,000 , d ) $ 15,850 , e ) $ 12,300", "output": [ "c" ] }, { "id": "task1420-e425ef92c9354df8b924c3a2d788dbe4", "input": "Problem: what is the sum of the 1 st 5 prime numbers greater than 20 ? \nOptions: a ) 121 , b ) 151 , c ) 168 , d ) 164 , e ) 161", "output": [ "e" ] }, { "id": "task1420-0568f4557cea4159ad1c1af16baf33ec", "input": "Problem: a jogger running at 9 km / hr along side a railway track is 250 m ahead of the engine of a 100 m long train running at 99 km / hr in the same direction . in how much time will the train pass the jogger ? \nOptions: a ) 14 sec , b ) 67 sec , c ) 98 sec , d ) 36 sec , e ) 23 sec", "output": [ "a" ] }, { "id": "task1420-0fa10ef6bc6e4746a124d9b764eebcd2", "input": "Problem: find the value of ( √ 1.21 ) / ( √ 0.81 ) + ( √ 1.00 ) / ( √ 0.49 ) is \nOptions: a ) 2.65 , b ) 145 / 63 , c ) 155 / 63 , d ) 125 / 63 , e ) 185 / 63", "output": [ "a" ] }, { "id": "task1420-9d9d3b42db534beea19660fecedf720d", "input": "Problem: city x has a population 5 times as great as the population of city y , which has a population twice as great as the population of city z . what is the ratio of the population of city x to the population of city z ? \nOptions: a ) 1 : 8 , b ) 1 : 4 , c ) 2 : 1 , d ) 4 : 1 , e ) 10 : 1", "output": [ "e" ] }, { "id": "task1420-469f8f9552d74ea8af7e4b766572bfcd", "input": "Problem: what is 2 2 / 3 - 1 1 / 4 divided by 1 / 2 - 1 / 4 ? \nOptions: a ) 17 / 36 , b ) 36 / 17 , c ) 17 / 6 , d ) 17 / 3 , e ) 51 / 4", "output": [ "d" ] }, { "id": "task1420-af6a842bcbb44b978a1ce9d6bc4750d9", "input": "Problem: if z is a multiple of 7899 , what is the remainder when z ^ 2 is divided by 9 ? \nOptions: a ) 0 , b ) 2 , c ) 3 , d ) 6 , e ) 7", "output": [ "a" ] }, { "id": "task1420-e17b64bc5e614912898fd6f626045d89", "input": "Problem: if n divided by 7 has a remainder of 2 , what is the remainder when 6 times n is divided by 7 ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 5 , e ) 6", "output": [ "d" ] }, { "id": "task1420-37a47b2f0fae492786f7d1835bd3c6fd", "input": "Problem: a type of extra - large suv averages 12.2 miles per gallon ( mpg ) on the highway , but only 7.6 mpg in the city . what is the maximum distance , in miles , that this suv could be driven on 21 gallons of gasoline ? \nOptions: a ) 190 , b ) 284.6 , c ) 300 , d ) 256 , e ) 312", "output": [ "d" ] }, { "id": "task1420-640624f6b84c43f9b5cd7b64fa92fb42", "input": "Problem: of the families in city x in 2000 , 30 percent owned a personal computer . the number of families in city x owning a computer in 2004 was 20 percent greater than it was in 1994 , and the total number of families in city x was 10 percent greater in 2004 than it was in 2000 . what percent of the families in city x owned a personal computer in 1998 ? \nOptions: a ) 55.42 % , b ) 52.25 % , c ) 56.23 % , d ) 30.70 % , e ) 32.72 %", "output": [ "e" ] }, { "id": "task1420-fdb7c6b42cc14a13b2e9ab09728664a5", "input": "Problem: addison high school ’ s senior class has 200 boys and 160 girls . if 60 % of the boys and 75 % of the girls attended college , what percentage of the total class that did not attend college ? \nOptions: a ) 33.33 , b ) 60 , c ) 80 , d ) 66.67 , e ) 64", "output": [ "d" ] }, { "id": "task1420-2a446fba3cf04029a8d020df21edaafc", "input": "Problem: if the average ( arithmetic mean ) of a and b is 140 , and the average of b and c is 100 , what is the value of a − c ? \nOptions: a ) − 220 , b ) − 100 , c ) 100 , d ) 135 , e ) 80", "output": [ "e" ] }, { "id": "task1420-4915b13689004c0db5eb9b6dbd1b67f7", "input": "Problem: total dinning bill of 3 people was $ 139.00 and 10 % tip divided the bill evenly ? what is the bill amount each person shared . \nOptions: a ) 21.84 , b ) 50.96 , c ) 53.84 , d ) 24.84 , e ) 50.26", "output": [ "b" ] }, { "id": "task1420-4ffe29fc6d1c4cc3bbe0919194dedf5a", "input": "Problem: how should we mix two rice packets to get one 1 kg packet priced at rs 8 when the prices of 1 kg packets of the two types are rs 7.1 and rs 9.2 . \nOptions: a ) 4 : 3 , b ) 4 : 7 , c ) 4 : 9 , d ) 4 : 2 , e ) 4 : 1", "output": [ "a" ] }, { "id": "task1420-8d62a7ceca7549608c42af208c6bf7ba", "input": "Problem: according to the direction on a can of frozen orange juice concentrate is to be mixed with 3 cans of water to make orange juice . how many 15 - ounce cans of the concentrate are required to prepare 200 6 - ounce servings of orange juice ? \nOptions: a ) 25 , b ) 34 , c ) 50 , d ) 20 , e ) 100", "output": [ "d" ] }, { "id": "task1420-d12b9438b718410caab2495dd2a31779", "input": "Problem: an alloy of copper and zinc contains copper and zinc in the ratio 9 : 6 . another alloy of copper and zinc contains copper and zinc in the ratio 6 : 9 . in what ratio should the two alloys be mixed so that the resultant alloy contains equal proportions of copper and zinc ? \nOptions: a ) 1 : 5 , b ) 1 : 4 , c ) 1 : 3 , d ) 1 : 1 , e ) 1 : 2", "output": [ "d" ] }, { "id": "task1420-147bb55a6d5d453a97ac6de7d2be3c6e", "input": "Problem: a box contains either blue or red flags . the total number of flags in the box is an even number . a group of children are asked to pick up two flags each . if all the flags are used up in the process such that 60 % of the children have blue flags , and 60 % have red flags , what percentage of children have flags of both the colors ? \nOptions: a ) 5 % , b ) 10 % , c ) 15 % , d ) 20 % , e ) it can not be determined", "output": [ "d" ] }, { "id": "task1420-558ea344ce98485ea4bb0dd009259b6d", "input": "Problem: 3 times the first of 3 consecutive odd integers is 3 more than twice the third . the third integer is ? \nOptions: a ) 15 , b ) 17 , c ) 19 , d ) 21 , e ) 26", "output": [ "a" ] }, { "id": "task1420-5552b86941bb4a25b338cd133a6cc1ed", "input": "Problem: a certain number when divided by 39 leaves a remainder 16 , what is the remainder when the same number is divided by 13 ? \nOptions: a ) 7 , b ) 8 , c ) 9 , d ) 6 , e ) 3", "output": [ "e" ] }, { "id": "task1420-23628a9fb95e40a7b7bd1457930b910e", "input": "Problem: two kinds of vodka are mixed in the ratio 1 : 2 and 2 : 1 and they are sold fetching the profit 10 % and 20 % respectively . if the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4 / 3 and 5 / 3 times respectively , then the mixture will fetch the profit of \nOptions: a ) 18 % , b ) 20 % , c ) 21 % , d ) 23 % , e ) can not be determined", "output": [ "b" ] }, { "id": "task1420-bd927db598f5417c9e2a6249abee4b9d", "input": "Problem: students of 3 different classes appeared in common examination . pass average of 10 students of first class was 45 % , pass average of 15 students of second class was 60 % and pass average of 25 students of third class was 80 % then what will be the pass average of all students of 3 classes ? \nOptions: a ) 74 % , b ) 75 % , c ) 67 % , d ) 72 % , e ) none", "output": [ "c" ] }, { "id": "task1420-c747c19ec8ff494980cd3da07794fa2c", "input": "Problem: 1 , 6 , 24 , 60 , 120 , 210 , ___ ? \nOptions: a ) 336 , b ) 366 , c ) 330 , d ) 660 , e ) 770", "output": [ "a" ] }, { "id": "task1420-d00dac41f0a64148a1e86b911df7aefd", "input": "Problem: in a office work is distribute between p persons . if 1 / 8 members are absent then work increased for each person is ? \nOptions: a ) 13.28 % , b ) 14.28 % , c ) 15.28 % , d ) 16.28 % , e ) 17.28 %", "output": [ "b" ] }, { "id": "task1420-b40ce97aa2fe4f718cc696df17c4f2fd", "input": "Problem: in x - y plane , there is a right triangle abc ( ∠ b = 90 o ) . if the length of ac is 25 and the slope of line segment ac is 4 / 3 , what is the length of ab ? \nOptions: a ) 12 , b ) 18 , c ) 24 , d ) 20 , e ) 40", "output": [ "d" ] }, { "id": "task1420-57f865c9a2b846b6ba2db94b17242cf7", "input": "Problem: x is the product of each integer from 1 to 100 , inclusive and y = 100 ^ k , where k is an integer . what is the greatest value of k for which y is a factor of x ? \nOptions: a ) 5 , b ) 6 , c ) 8 , d ) 10 , e ) 12", "output": [ "e" ] }, { "id": "task1420-b28a72fa95124d16b176e84b71ce7156", "input": "Problem: if h = { 1 , 7 , 18 , 20 , 29 , 33 } , how much less is the mean of the numbers in h than the median of the numbers in h ? \nOptions: a ) 1.0 , b ) 1.5 , c ) 2.0 , d ) 2.5 , e ) 3.0", "output": [ "a" ] }, { "id": "task1420-83b0ed63087d49cd85ed4b5622caf63a", "input": "Problem: what is the sum of all the multiples of 10 between 0 and 120 ? \nOptions: a ) 500 , b ) 620 , c ) 450 , d ) 340 , e ) 780", "output": [ "e" ] }, { "id": "task1420-24526bb0b1ce4b45b1ab635adcbf0fe3", "input": "Problem: a waiter ' s salary consists of his salary and tips . during one week his tips were 5 / 3 of his salary . what fraction of his income came from tips ? \nOptions: a ) 4 / 9 , b ) 5 / 4 , c ) 5 / 8 , d ) 5 / 9 , e ) 6 / 9", "output": [ "c" ] }, { "id": "task1420-0869be2b8ad348b9a2ce37155803d5ea", "input": "Problem: evaluate : 6402.5 + 640.25 + 64.025 + 6.4025 + 0.64025 \nOptions: a ) 6819.59775 , b ) 6981.59775 , c ) 6918.59775 , d ) 7113.81775 , e ) 6891.59775", "output": [ "d" ] }, { "id": "task1420-a88dcbdbe9dd45d594b3b87ff32f058e", "input": "Problem: one week , a certain truck rental lot had a total of 18 trucks , all of which were on the lot monday morning . if 50 % of the trucks that were rented out during the week were returned to the lot on or before saturday morning of that week , and if there were at least 12 trucks on the lot that saturday morning , what is the greatest number of different trucks that could have been rented out during the week ? \nOptions: a ) 18 , b ) 16 , c ) 12 , d ) 8 , e ) 4", "output": [ "c" ] }, { "id": "task1420-3163948ceb144a84bec3e3da0afffb9e", "input": "Problem: cost is expressed by the formula tb ^ 4 . if b is doubled , the new cost r is what percent of the original cost ? \nOptions: a ) r = 200 , b ) r = 600 , c ) r = 800 , d ) r = 1600 , e ) r = 50", "output": [ "d" ] }, { "id": "task1420-7de666e4faf44f18b2fc4f6e161dd2c7", "input": "Problem: when n divided by 3 , the remainder is 2 . when n divided by 4 , the remainder is 1 what is the the remainder when divided by 16 \nOptions: a ) 1 , b ) 3 , c ) 4 , d ) 5 , e ) 2", "output": [ "a" ] }, { "id": "task1420-2b5110741943439c9f872db3c24d599e", "input": "Problem: a special municipal payroll tax charges not tax on a payroll less than $ 200,000 and only 0.2 % on a company ’ s payroll above $ 200,000 . if belfried industries paid $ 200 in this special municipal payroll tax , then they must have had a payroll of ? \nOptions: a ) $ 180,000 , b ) $ 202,000 , c ) $ 220,000 , d ) $ 300,000 , e ) $ 2 , 200,000", "output": [ "d" ] }, { "id": "task1420-e7651309f1e5473497a6d052bafd16d1", "input": "Problem: mary is expected to pay back a total sum of $ 819200 to her bank as mortgage . if she is expected to make a payment which is double of the previous months amount , how long will it take her to fully repay the loan if her initial payment was $ 400 . \nOptions: a ) 13 , b ) 15 , c ) 12 , d ) 10 , e ) 11", "output": [ "e" ] }, { "id": "task1420-9ece4d6b3d9241498d5cd9813323f7b1", "input": "Problem: a number is doubled and 5 is added . if the resultant is trebled , it becomes 105 . what is that number ? \nOptions: a ) 12 , b ) 29 , c ) 27 , d ) 15 , e ) 99", "output": [ "d" ] }, { "id": "task1420-f572c9da3f434a8e8ff9666f4afd3986", "input": "Problem: for the past n days , the average ( arithmetic mean ) daily production at a company was 40 units . if today ' s production of 90 units raises the average to 45 units per day , what is the value of n ? \nOptions: a ) 30 , b ) 18 , c ) 10 , d ) 9 , e ) 7", "output": [ "d" ] }, { "id": "task1420-ec3a6f72bd734af29e3c31b50a523a1b", "input": "Problem: if x ^ 2 + ( 1 / x ^ 2 ) = 9 , x ^ 4 + ( 1 / x ^ 4 ) = ? \nOptions: a ) 10 , b ) 11 , c ) 12 , d ) 14 , e ) 79", "output": [ "e" ] }, { "id": "task1420-3b14143a066f4d27a8ac5f8235f2da3b", "input": "Problem: a number when divided by a certain divisor left remainder 251 , when twice the number was divided by the same divisor , the remainder was 112 . find the divisor ? \nOptions: a ) 370 , b ) 365 , c ) 390 , d ) 456 , e ) 460", "output": [ "c" ] }, { "id": "task1420-321445d25637451fae8ffe6b179a883f", "input": "Problem: a hollow iron pipe is 21 cm long and its external diameter is 8 cm . if the thickness of the pipe is 1 cm and iron weighs 8 g / cm ^ 3 , then the weight of the pipe is : \nOptions: a ) 3.6 kg , b ) 3.696 kg , c ) 36 kg , d ) 36.9 kg , e ) 3.06 kg", "output": [ "b" ] }, { "id": "task1420-476cdbd0257c4ebdab46a0707daeb633", "input": "Problem: two kinds of vodka are mixed in the ratio 1 : 2 and 2 : 1 and they are sold fetching the profit 20 % and 20 % respectively . if the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4 / 3 and 5 / 3 times respectively , then the mixture will fetch the profit of \nOptions: a ) 18 % , b ) 20 % , c ) 21 % , d ) 23 % , e ) can not be determined", "output": [ "a" ] }, { "id": "task1420-62ee83f46aee40fdbd8669bb821ac759", "input": "Problem: chris mixed 5 pounds of raisins with 4 pounds of nuts . if a pound of nuts costs 3 times as much as a pound of raisins , then the total cost of the raisins was what fraction of the total cost of the mixture ? \nOptions: a ) 5 / 17 , b ) 1 / 5 , c ) 1 / 4 , d ) 1 / 3 , e ) 3 / 7", "output": [ "a" ] }, { "id": "task1420-6b0bb3500eb444009d14510de0692bc8", "input": "Problem: the ages of two person differ by 20 years . if 8 years ago , the elder one be 5 times as old as the younger one , their present ages ( in years ) are respectively \nOptions: a ) 33 , 13 , b ) 25 , 5 , c ) 29 , 9 , d ) 50 , 30 , e ) 20,10", "output": [ "a" ] }, { "id": "task1420-069b8908809c4a6ead42c12960c0847d", "input": "Problem: a scale 6 ft . 8 inches long is divided into 5 equal parts . find the length of each part . \nOptions: a ) 20 inches , b ) 77 inches , c ) 16 inches , d ) 97 inches , e ) 66 inches", "output": [ "c" ] }, { "id": "task1420-abb652c42a1f41ccad620903c801b1ad", "input": "Problem: when n is divided by 24 , the remainder is 6 . what is the remainder when 3 n is divided by 8 ? \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 2", "output": [ "e" ] }, { "id": "task1420-715973074b334347a42d6f65710f6a77", "input": "Problem: if k is an integer and 0.0010101 x 10 ^ k is greater than 10 , what is the least possible value of k ? \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6", "output": [ "c" ] }, { "id": "task1420-6c1fb449151e48f3a4536247299c9ab1", "input": "Problem: a department of 10 people - 6 men and 4 women - needs to send a team of 5 to a conference . if they want to make sure that there are no more than 3 members of the team from any one gender , how many distinct groups are possible to send ? \nOptions: a ) 120 , b ) 150 , c ) 180 , d ) 210 , e ) 240", "output": [ "c" ] }, { "id": "task1420-29903465f24c41a6ad6a0bbfc80b2829", "input": "Problem: a students was asked to find the arithmetic mean of the numbers 3 , 11 , 7 , 9 , 15 , 13 , 8 , 19 , 17 , 21 , 14 and x . he found the mean to be 12 . what should be the number in place of x ? \nOptions: a ) 3 , b ) 7 , c ) 17 , d ) 31 , e ) 38", "output": [ "b" ] }, { "id": "task1420-229807055ce040808b66d7233a17f664", "input": "Problem: there are 3 departments having students 72 , 5824 . in an exam they have to be seated in rooms such that each room has equal number of students and each room has students of one type only ( no mixing of departments ) . find the minimum number of rooms required ? \nOptions: a ) 73 , b ) 74 , c ) 75 , d ) 76 , e ) 77", "output": [ "e" ] }, { "id": "task1420-15fca756fc9244bcb53ab4fc49db50e0", "input": "Problem: the average age of students of a class is 15.8 years . the average age of boys in the class is 16.4 years and that of the girls is 15.4 years . the ration of the number of boys to the number of girls in the class is ? \nOptions: a ) 2 : 7 , b ) 2 : 3 , c ) 2 : 1 , d ) 2 : 9 , e ) 2 : 2", "output": [ "b" ] }, { "id": "task1420-3d962a3224bb45bfba27650225fc3aee", "input": "Problem: in a recent election , james received 15 percent of the 10000 votes cast . to win the election , a candidate needed to receive more than 51 percent of the vote . how many additional votes would james have needed to win the election ? \nOptions: a ) 1004 , b ) 1000 , c ) 3600 , d ) 1201 , e ) 3601", "output": [ "e" ] }, { "id": "task1420-e1121a74fb99433b96bd414dcc1540eb", "input": "Problem: $ 350 is divided among a , b , and c so that a receives half as much as b , and b receives half as much as c . how much money is c ' s share ? \nOptions: a ) $ 200 , b ) $ 225 , c ) $ 250 , d ) $ 275 , e ) $ 300", "output": [ "c" ] }, { "id": "task1420-f55fa29d5abb4281b9022d984611b8e8", "input": "Problem: a new home buyer pays 4 % annual interest on her first mortgage and 9 % annual interest on her second mortgage . if she borrowed a total of $ 310000 , 80 % of which was in the first mortgage , what is her approximate monthly interest payment ? \nOptions: a ) $ 1,292 , b ) $ 1,733 , c ) $ 3,466 , d ) $ 12,917 , e ) $ 20,796", "output": [ "a" ] }, { "id": "task1420-f6f684170a4f47329ea2f91f4246d292", "input": "Problem: 5 n + 7 > 12 and 7 n - 5 < 44 ; n must be between which numbers ? \nOptions: a ) 1 and 8 , b ) 2 and 6 , c ) 0 and 9 , d ) 1 and 7 , e ) 2 and 9", "output": [ "d" ] }, { "id": "task1420-841867d9c42a4909955e449391927ed9", "input": "Problem: a whale goes on a feeding frenzy that lasts for 9 hours . for the first hour he catches and eats x kilos of plankton . in every hour after the first , it consumes 3 kilos of plankton more than it consumed in the previous hour . if by the end of the frenzy the whale will have consumed a whopping accumulated total 450 kilos of plankton , how many kilos did he consume on the sixth hour ? \nOptions: a ) 38 , b ) 47 , c ) 50 , d ) 53 , e ) 62", "output": [ "d" ] }, { "id": "task1420-1c5470dd13cc4ff5a74c007d305277d9", "input": "Problem: what is the range of all the roots of | x ^ 2 - 1 | = x ? \nOptions: a ) 4 , b ) 3 , c ) 2 , d ) 1 , e ) 0", "output": [ "d" ] }, { "id": "task1420-ccb498026f3e43aa977e90bc61745e4b", "input": "Problem: a waitress ' s income consists of her salary and tips . during one week , her tips were 9 / 4 of her salary . what fraction of her income for the week came from tips ? \nOptions: a ) 9 / 13 , b ) 1 / 6 , c ) 1 / 3 , d ) 4 / 9 , e ) 5 / 9", "output": [ "a" ] }, { "id": "task1420-c549c85e1eb14748b31c26df693fe417", "input": "Problem: 893.7 – 573.07 – 95.007 = ? \nOptions: a ) 225.623 , b ) 224.777 , c ) 233.523 , d ) 414.637 , e ) none of these", "output": [ "a" ] }, { "id": "task1420-90e26364c8f94624a7529432fc025327", "input": "Problem: find a number such that it exceeds 18 by 3 times the number by which it is less than 86 ? \nOptions: a ) 67 , b ) 68 , c ) 69 , d ) 70 , e ) 71", "output": [ "c" ] }, { "id": "task1420-1f486b940f1c41b48440ebc2794fb3a7", "input": "Problem: a random 10 - letter code is to be formed using the letters a , b , c , d , e , f , g , h , i and i ( only the “ i ” will be used twice ) . what is the probability that a code that has the two i ’ s adjacent to one another will be formed ? \nOptions: a ) 1 / 10 , b ) 1 / 8 , c ) 1 / 5 , d ) 1 / 4 , e ) 1 / 2", "output": [ "c" ] }, { "id": "task1420-17c4abaa37b54b1d9c56d2adaa30a3dd", "input": "Problem: a row of ants comprised of 102 ants . a man walked upon it and all except 42 were crushed beneath his foot . how many ants are left alive ? \nOptions: a ) 41 , b ) 42 , c ) 43 , d ) 44 , e ) 45", "output": [ "b" ] }, { "id": "task1420-97af57d756ce460c8d17c22f994180ce", "input": "Problem: the average of 1 st 3 of 4 numbers is 16 and of the last 3 are 15 . if the sum of the first and the last number is 15 . what is the last numbers ? \nOptions: a ) 2 , b ) 4 , c ) 6 , d ) 5 , e ) 7", "output": [ "c" ] }, { "id": "task1420-29ac342c61534846b2906f3b75ffbe62", "input": "Problem: if integer k is equal to the sum of all even multiples of 25 between 200 and 600 , what is the greatest prime factor of k ? \nOptions: a ) 5 , b ) 7 , c ) 11 , d ) 13 , e ) 17", "output": [ "d" ] }, { "id": "task1420-3e7b130e8d0e4b0da4460e0d92c32b42", "input": "Problem: aishwarya rai walks into a bank to cash out her check . by mistake the bank teller gives her dollar amount in change , and her cent amount in dollars . on the way home she spends 5 cent , and then suddenly she notices that she has twice the amount of her check . how much was her check amount ? \nOptions: a ) 21.55 , b ) 25.89 , c ) 30.56 , d ) 31.55 , e ) 31.63", "output": [ "e" ] }, { "id": "task1420-5fb0709cdd7a4b74bfefd18779d84bba", "input": "Problem: if x = 4 and y = − 2 , what is the value of ( x − 2 y ) ^ y ? \nOptions: a ) − 100 , b ) 0.015 , c ) 0.25 , d ) 4 , e ) 8", "output": [ "b" ] }, { "id": "task1420-9863961443c34917a98c49ed438635d3", "input": "Problem: alok ordered 16 chapatis , 5 plates of rice , 7 plates of mixed vegetable and 6 ice - cream cups . the cost of each chapati is rs . 6 , that of each plate of rice is rs . 45 and that of mixed vegetable is rs . 70 . the amount that alok paid the cashier was rs . 1051 . find the cost of each ice - cream cup ? \nOptions: a ) 25 , b ) 40 , c ) 77 , d ) 99 , e ) 91", "output": [ "b" ] }, { "id": "task1420-669f02377b83400ea7d783fe3ed7f6f3", "input": "Problem: a part - time employee whose hourly wage was decreased by 20 percent decided to increase the number of hours worked per week so that the employee ' s total income did not change . by what percent should the number of hours worked be increased ? \nOptions: a ) 12.5 % , b ) 20 % , c ) 25 % , d ) 50 % , e ) 100 %", "output": [ "c" ] }, { "id": "task1420-c9b826b33e0c4b42b16915f5178f6358", "input": "Problem: ( 51 + 52 + 53 + … … … + 100 ) is equal to : \nOptions: a ) 2525 , b ) 2975 , c ) 3225 , d ) 3775 , e ) 3885", "output": [ "d" ] }, { "id": "task1420-962f0e2f369b456eb7a651b2aa74c976", "input": "Problem: in a group of ducks and cows , the total number of legs are 40 more than twice the number of heads . find the total number of cows . \nOptions: a ) 12 , b ) 14 , c ) 16 , d ) 18 , e ) 20", "output": [ "e" ] }, { "id": "task1420-b0857ff68c394cfcba65d5de6d27335a", "input": "Problem: ( 0.0048 ) ( 3.5 ) / ( 0.05 ) ( 0.1 ) ( 0.004 ) = \nOptions: a ) 8.4 , b ) 840 , c ) 84.0 , d ) 0.84 , e ) 0.084", "output": [ "b" ] }, { "id": "task1420-91d439f81b694a978eee69ba96ce3014", "input": "Problem: at the wholesale store you can buy an 8 - pack of hot dogs for $ 1.55 , a 20 - pack for $ 3.05 , and a 250 - pack for $ 22.95 . what is the greatest number of hot dogs you can buy at this store with $ 205 ? \nOptions: a ) 1,108 , b ) 2,100 , c ) 2,140 , d ) 2,124 , e ) 2,256", "output": [ "c" ] }, { "id": "task1420-143854aa09b04770b80d433699d6ffa9", "input": "Problem: find the value of ( 70 + 28 / 100 ) × 100 \nOptions: a ) 7028 , b ) 4028 , c ) 3128 , d ) 3256 , e ) 5264", "output": [ "a" ] }, { "id": "task1420-9cad35f270804b8fa28cd8084ef6edbe", "input": "Problem: for an agricultural experiment , 300 seeds were planted in one plot and 200 were planted in a second plot . if exactly 20 percent of the seeds in the first plot germinated and exactly 35 percent of the seeds in the second plot germinated , what percent of the total number of seeds germinated ? \nOptions: a ) 12 % , b ) 26 % , c ) 29 % , d ) 30 % , e ) 60 %", "output": [ "b" ] }, { "id": "task1420-ccc8a0472b244df590683977cdc88926", "input": "Problem: if a and b are the roots of the equation x 2 - 9 x + 20 = 0 , find the value of a 2 + b 2 + ab ? \nOptions: a ) 57 , b ) 59 , c ) 61 , d ) 63 , e ) 65", "output": [ "c" ] }, { "id": "task1420-42e22c89c6ee42d5b4fbc62a925858a3", "input": "Problem: a cricket player whose bowling average was 22.5 runs per wicket , takes 5 wicket for 52 runs in a match . due to this his average decreases by 0.5 . what will be the number of wickets taken by him till the last match ? \nOptions: a ) 64 , b ) 72 , c ) 121 , d ) 984 , e ) 108", "output": [ "c" ] }, { "id": "task1420-926a750eb0904342bbd5592ef4fa2a05", "input": "Problem: find the smallest number of 6 digits which is exactly divisible by 111 \nOptions: a ) 100011 , b ) 111111 , c ) 101111 , d ) 1011111 , e ) 211111", "output": [ "a" ] }, { "id": "task1420-c5e29da114d64c2d8c33e8434adddf45", "input": "Problem: what is the remainder when 1201 × 1202 × 1203 × 1207 is divided by 6 ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4", "output": [ "a" ] }, { "id": "task1420-d41de5dd032c46d8bcc59ee17e4e5e94", "input": "Problem: 1 , 6 , 16 , 31 , 51 , ( . . . . ) \nOptions: a ) 61 , b ) 66 , c ) 76 , d ) 86 , e ) 83", "output": [ "b" ] }, { "id": "task1420-3f3d565e45e84b3cbc8a07039d8055fa", "input": "Problem: if n is a positive integer and n ^ 2 is divisible by 72 , then the largest positive integer q that must divide n is ? \nOptions: a ) 6 , b ) 12 , c ) 24 , d ) 36 , e ) 48", "output": [ "b" ] }, { "id": "task1420-5a26ef8a7fd44dc1adb21c67386a57c9", "input": "Problem: the average of first six multiples of 4 is : \nOptions: a ) 14 , b ) 9 , c ) 12 , d ) 15 , e ) 17", "output": [ "a" ] }, { "id": "task1420-25b2fd32c6174079a0751b78cdaf4451", "input": "Problem: solve the equation for x : 8 x - 40 + 2 x = 5 + 10 - x \nOptions: a ) 4 , b ) 10 , c ) 7 , d ) 5 , e ) 3", "output": [ "d" ] }, { "id": "task1420-aed54f9d51f743b2a62afa203afb68e9", "input": "Problem: if the price of a certain bond on may 1 st was 2 / 3 the price of the bond on june 1 st and the price of the bond on july 1 st was 25 % greater than the price of the bond on may 1 st . then the price of the bond on june 1 st st was what percent of the average ( arithmetic mean ) price of the bond on may 1 st and july 1 st ? \nOptions: a ) 50 % , b ) 75 % , c ) 120 % , d ) 133 1 / 3 % , e ) 150 %", "output": [ "d" ] }, { "id": "task1420-a157f9afc7314bce861ff946d7e5e88c", "input": "Problem: what least no . must be subtracted from 5026 so that remaining no . is divisible by 5 ? \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 1", "output": [ "e" ] }, { "id": "task1420-38fac6e95d734017bdb757444f7f6127", "input": "Problem: rahim bought 42 books for rs . 520 from one shop and 22 books for rs . 248 from another . what is the average price he paid per book ? \nOptions: a ) s . 17 , b ) s . 18 , c ) s . 12 , d ) s . 11 , e ) s . 10", "output": [ "c" ] }, { "id": "task1420-9ef004e3840647b89fb2484dd14a5674", "input": "Problem: laura took out a charge account at the general store and agreed to pay 9 % simple annual interest . if she charges $ 35 on her account in january , how much will she owe a year later , assuming she does not make any additional charges or payments ? \nOptions: a ) $ 2.10 , b ) $ 37.10 , c ) $ 37.16 , d ) $ 38.10 , e ) $ 38.15", "output": [ "e" ] }, { "id": "task1420-129f48c6e3ab4ae480ef552d7bf9ae5d", "input": "Problem: find the smallest number in gp whose sum is 38 and product is 1728 \nOptions: a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 9", "output": [ "d" ] }, { "id": "task1420-6c281ee791a34ec8938bd96001fd96bc", "input": "Problem: the average monthly income of a and b is rs . 5050 . the average monthly income of b and c is rs . 6250 and the average monthly income of a and c is rs . 5200 . what is the monthly income of a ? \nOptions: a ) 2000 , b ) 3000 , c ) 4000 , d ) 5000 , e ) 6200", "output": [ "c" ] }, { "id": "task1420-3fbf4a7511244fd8b4215439871e95fd", "input": "Problem: a certain manufacturer produces items for which the production costs consist of annual fixed costs totaling $ 130,000 and variables costs averaging $ 8 per item . if the manufacturer ’ s selling price per item is $ 12 , how many items the manufacturer produce and sell to earn an annual profit of $ 140,000 ? \nOptions: a ) 2,858 , b ) 8,667 , c ) 21,429 , d ) 35,000 , e ) 67,500", "output": [ "e" ] }, { "id": "task1420-017dd28342fd416cb806e81f8e939a6d", "input": "Problem: a number is doubled and 5 is added . if the resultant is trebled , it becomes 135 . what is that number ? \nOptions: a ) 12 , b ) 29 , c ) 20 , d ) 15 , e ) 99", "output": [ "c" ] }, { "id": "task1420-e6b47872b76c4bbea89e7957408e909b", "input": "Problem: there are 14 players in a chess group , and each player plays each of the others once . given that each game is played by two players , how many total games will be played ? \nOptions: a ) 91 , b ) 30 , c ) 45 , d ) 60 , e ) 90", "output": [ "a" ] }, { "id": "task1420-d1bab578a79d49febdb916451a86839d", "input": "Problem: in a boat there are 8 men whose average weight is increased by 1 kg when 1 man of 60 kg is replaced by a new man . what is weight of new comer ? \nOptions: a ) 70 , b ) 66 , c ) 68 , d ) 69 , e ) 72", "output": [ "c" ] }, { "id": "task1420-6c236c79a7ca4c54aa1b8fedd92afcc0", "input": "Problem: if x + y = 20 , x - y = 36 , for integers of x and y , x = ? \nOptions: a ) 20 , b ) 25 , c ) 28 , d ) 20 , e ) 42", "output": [ "c" ] }, { "id": "task1420-45e59e449a56481d8a1d875649e49968", "input": "Problem: the average weight of 8 sailors in a boat is increased by 1 kg if one of them weighing 56 kg is replaced by a new sailor . the weight of the new sailor is ? \nOptions: a ) 57 kg , b ) 60 kg , c ) 64 kg , d ) 62 kg , e ) 66 kg", "output": [ "c" ] }, { "id": "task1420-9a19e3196d0d4a9fbd84a86641a041a5", "input": "Problem: arjun started a business with rs . 10,000 and is joined afterwards by anoop with rs . 40 , 000 . after how many months did anoop join if the profits at the end of the year are divided equally ? \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 9", "output": [ "e" ] }, { "id": "task1420-84a53c6bb3244793b417c14a20f1b868", "input": "Problem: if the average ( arithmetic mean ) of a and b is 45 and the average of b and c is 90 , what is the value of c â ˆ ’ a ? \nOptions: a ) 25 , b ) 90 , c ) 100 , d ) 140 , e ) it can not be determined from the information given", "output": [ "b" ] }, { "id": "task1420-55b78014f7c24dec86394932d68b0d7d", "input": "Problem: if the price of petrol increases by 44 , by how much must a user cut down his consumption so that his expenditure on petrol remains constant ? \nOptions: a ) 25 % , b ) 20 % , c ) 16.67 % , d ) 33.33 % , e ) none of these", "output": [ "e" ] }, { "id": "task1420-31acc0732ec54f2fa5b0a45a3fc97576", "input": "Problem: 20.20 / 2000 is equal to : \nOptions: a ) 1.01252677 , b ) 0.013466667 , c ) 0.125266677 , d ) 0.126256677 , e ) 0.12725776", "output": [ "b" ] }, { "id": "task1420-20745aa1646849aab37d51bacd70821e", "input": "Problem: a car travels first 160 km at 75 km / hr and the next 160 km at 80 km / hr . what is the average speed for the first 320 km of the tour ? \nOptions: a ) 71.11 , b ) 71.12 , c ) 71.1 , d ) 71.17 , e ) 77.42", "output": [ "e" ] }, { "id": "task1420-9724f1046c4545119ba929adc7c9ec00", "input": "Problem: 2 / [ ( 1 / 0.03 ) + ( 1 / 0.37 ) ] = ? \nOptions: a ) 0.004 , b ) 0.05555 , c ) 2.775 , d ) 3.6036 , e ) 36.036", "output": [ "b" ] }, { "id": "task1420-aa657d9cb21147119c89aa8499eff59b", "input": "Problem: how many three digit numbers n are divisible by 78 or 91 ? \nOptions: a ) 17 , b ) 19 , c ) 20 , d ) 21 , e ) 22", "output": [ "b" ] }, { "id": "task1420-567a5e4f585b414cb1c7a5a87489d11a", "input": "Problem: # p is defined as 2 p + 20 for any number p . what is p , if # ( # ( # p ) ) = 12 ? \nOptions: a ) – 16 , b ) – 44 , c ) 10 , d ) 16 , e ) 18", "output": [ "a" ] }, { "id": "task1420-81cc0796bc774781b3230e71d399e86d", "input": "Problem: the average of 6 no . ' s is 4.60 . the average of 2 of them is 3.4 , while the average of the other 2 is 3.8 . what is the average of the remaining 2 no ' s ? \nOptions: a ) 2.3 , b ) 6.6 , c ) 3.6 , d ) 4.5 , e ) 4.6", "output": [ "b" ] }, { "id": "task1420-e1f01506742c44bb96c1d3c9730c9a90", "input": "Problem: count the numbers between 10 - 99 which yield a remainder of 5 when divided by 8 and also yield a remainder of 1 when divided by 6 ? \nOptions: a ) one , b ) three , c ) two , d ) five , e ) four", "output": [ "e" ] }, { "id": "task1420-f583717623ba4cbd940354bc97a7675c", "input": "Problem: an ant walks an average of 600 meters in 12 minutes . a beetle walks 15 % less distance at the same time on the average . assuming the beetle walks at her regular rate , what is its speed in km / h ? \nOptions: a ) 2.215 . , b ) 2.55 , c ) 2.775 . , d ) 3.2 . , e ) 3.5 .", "output": [ "b" ] }, { "id": "task1420-0b9f9a0b1e4a47789e7729807783aa6f", "input": "Problem: the average of 11 numbers is 60 . out of 11 numbers the average of first 6 no . is 88 , and last 6 numbers is 65 then find 6 th number ? \nOptions: a ) a ) 258 , b ) b ) 65 , c ) c ) 58 , d ) d ) 62 , e ) e ) 48", "output": [ "a" ] }, { "id": "task1420-f55f51a81cb8434c9ca6de51cf3ca988", "input": "Problem: find large number from below question the difference of two numbers is 1375 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder \nOptions: a ) 1234 , b ) 1265 , c ) 1350 , d ) 1467 , e ) 1647", "output": [ "e" ] }, { "id": "task1420-51bbd01cdc0b4b53843c0465b962f153", "input": "Problem: the average of 25 results is 24 . the average of first 12 of those is 14 and the average of last 12 is 17 . what is the 13 th result ? \nOptions: a ) 740 , b ) 228 , c ) 690 , d ) 780 , e ) 458", "output": [ "b" ] }, { "id": "task1420-7ea59e13205b4743aa7ec85d9940b5cf", "input": "Problem: set a of 8 positive integers may have the same element and have 40 . and set b of 8 positive integers must have different elements and have 40 . when m and n are the greatest possible differences between 40 and other elements ’ sums in set a and set b , respectively , m - n = ? \nOptions: a ) 21 , b ) 29 , c ) 23 , d ) 25 , e ) 26", "output": [ "a" ] }, { "id": "task1420-4c800cb2f7b64603b617870692c82369", "input": "Problem: the sum of the fourth and twelfth term of an arithmetic progression is 20 . what is the sum of the first 20 terms of the arithmetic progression ? \nOptions: a ) 300 , b ) 120 , c ) 150 , d ) 170 , e ) 200", "output": [ "e" ] }, { "id": "task1420-d1ce8514b263485ca294272c46ddfa65", "input": "Problem: two trains of equal are running on parallel lines in the same direction at 45 km / hr and 36 km / hr . the faster train passes the slower train in 36 sec . the length of each train is ? \nOptions: a ) 45 , b ) 88 , c ) 66 , d ) 55 , e ) 22", "output": [ "a" ] }, { "id": "task1420-031f74fd4ed54103bded6cdd7831a227", "input": "Problem: the cost of 10 kg of mangos is equal to the cost of 24 kg of rice . the cost of 6 kg of flour equals the cost of 2 kg of rice . the cost of each kg of flour is $ 21 . find the total cost of 4 kg of mangos , 3 kg of rice and 5 kg of flour ? \nOptions: a ) 347.8 , b ) 987.8 , c ) 877.8 , d ) 898.8 , e ) 667.4", "output": [ "d" ] }, { "id": "task1420-c4e1e71875ec44648aa1e3c073f231f6", "input": "Problem: when a person aged 39 is added to a group of n people , the average age increases by 2 . when a person aged 15 is added instead , the average age decreases by 1 . what is the value of r ? \nOptions: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11", "output": [ "a" ] }, { "id": "task1420-9dc41e7e8eef4b27bf572f4f76b9c2ee", "input": "Problem: a is the hundreds digit of the 3 digit integer x , b is the tens digit of x , and c is the units digit of x . 4 a = 2 b = c , and a > 0 . what is the difference between the two greatest possible values of x ? tip : dont stop till you have exhausted all answer choices to arrive at the correct one . \nOptions: a ) 124 , b ) 297 , c ) 394 , d ) 421 , e ) 842", "output": [ "a" ] }, { "id": "task1420-87a24815fc5843248b62ad319518f50e", "input": "Problem: if a ( a + 5 ) = 36 and b ( b + 5 ) = 36 , where a ≠ b , then a + b = \nOptions: a ) − 48 , b ) − 5 , c ) 2 , d ) 46 , e ) 48", "output": [ "b" ] }, { "id": "task1420-92e7679933394940a8e3c945d6c622b9", "input": "Problem: cost is expressed by the formula tb ^ 4 . if b is doubled , the new cost q is what percent of the original cost ? \nOptions: a ) q = 200 , b ) q = 600 , c ) q = 800 , d ) q = 1600 , e ) q = 50", "output": [ "d" ] }, { "id": "task1420-5567a0225e6a4551977625505215cedb", "input": "Problem: the average weight of 10 students decreases by 6 kg when one of them weighing 120 kg is replaced by a new student . the weight of the student is \nOptions: a ) 62 kg , b ) 60 kg , c ) 70 kg , d ) 72 kg , e ) none of these", "output": [ "b" ] }, { "id": "task1420-b1c9ab8b4e1f4ee3867f6a3a9e2df205", "input": "Problem: in the x - y plane , point ( x , y ) is a lattice point if both x and y are integers . a square has a center at ( 0 , 0 ) and side = 4 . some points , such as the center ( 0 , 0 ) , are inside the square , but a point such as ( 0 , 2 ) is on the square but not in the square . how many lattice points are in the square ? \nOptions: a ) 10 , b ) 9 , c ) 8 , d ) 5 , e ) 12", "output": [ "b" ] }, { "id": "task1420-fb4d4a4d2de040c3bd98d0a37616e3da", "input": "Problem: mixture a is 15 percent alcohol , and mixture b is 50 percent alcohol . if the two are poured together to create a 4 - gallon mixture that contains 30 percent alcohol , approximately how many gallons of mixture a are in the mixture ? \nOptions: a ) 1.5 , b ) 1.7 , c ) 2.3 , d ) 2.5 , e ) 3.0", "output": [ "c" ] }, { "id": "task1420-db4c1dd3421345a1a905d8e28e6704e3", "input": "Problem: what is the sum of all the prime numbers greater than 50 but less than 70 ? \nOptions: a ) 249 , b ) 248 , c ) 246 , d ) 240 , e ) 241", "output": [ "d" ] }, { "id": "task1420-394c7ffa2ada47b1ae2a1ec8eb7f35cb", "input": "Problem: in δ pqs above , if pq = 7 and ps = 8 , then \nOptions: a ) 9 / 4 , b ) 12 / 5 , c ) 56 / 9 , d ) 15 / 4 , e ) 20 / 3", "output": [ "c" ] }, { "id": "task1420-d0deffc46fc44b7a8494fba184bb0ab8", "input": "Problem: tickets numbered from 1 to 21 are mixed and then a ticket is selected randomly . what is the probability that the selected ticket bears a number which is a multiple of 3 ? \nOptions: a ) 1 / 3 , b ) 2 / 5 , c ) 3 / 10 , d ) 3 / 7 , e ) 1 / 7", "output": [ "a" ] }, { "id": "task1420-3c0b7d044fdf4d9d87a3e79af03cb12f", "input": "Problem: a 80 gallon solution of salt and water is 10 % salt . how many gallons of water must be added to the solution in order to decrease the salt to 8 % of the volume ? \nOptions: a ) 20 , b ) 12 , c ) 13 , d ) 14 , e ) 16", "output": [ "a" ] }, { "id": "task1420-3154d243312746ec9d7929ea92b00ee3", "input": "Problem: the difference between the ages of two persons is 10 years . fifteen years ago , the elder one was twice as old as the younger one . the present age of the elder person is ? \nOptions: a ) 35 yr , b ) 25 yr , c ) 20 yr , d ) 30 yr , e ) 40 yr", "output": [ "a" ] }, { "id": "task1420-c59c5567484e49298e7804132496456a", "input": "Problem: of the four - digit positive integers that have no digits equal to zero , how many have two digits that are equal to each other and the remaining digit different from the other two ? \nOptions: a ) 6048 , b ) 3648 , c ) 7248 , d ) 1448 , e ) 2168", "output": [ "a" ] }, { "id": "task1420-09e0bb0715f9487fb3fb9816eb3112b3", "input": "Problem: there are 660 male and female participants in a meeting . half the female participants and one - quarter of the male participants are democrats . one - third of all the participants are democrats . how many of the democrats are female ? \nOptions: a ) 75 , b ) 110 , c ) 125 , d ) 175 , e ) 225", "output": [ "b" ] }, { "id": "task1420-15397a006de64087921c31ca02f0012e", "input": "Problem: if 12 machine can finish a job in 40 days , then how many more machines would be needed to finish the job in one - fourth less time ? \nOptions: a ) a . 4 , b ) b . 8 , c ) c . 10 , d ) d . 12 , e ) e . 16", "output": [ "a" ] }, { "id": "task1420-9822e64b6f4a4e2ebf4d26ec68da98ac", "input": "Problem: in the land of oz only one or two - letter words are used . the local language has 67 different letters . the parliament decided to forbid the use of the seventh letter . how many words have the people of oz lost because of the prohibition ? \nOptions: a ) 65 , b ) 66 , c ) 67 , d ) 131 , e ) 134", "output": [ "e" ] }, { "id": "task1420-94516724c6314ae496d2d356e652964c", "input": "Problem: the sum of two numbers is 40 and their difference is 4 . the ratio of the numbers is \nOptions: a ) 11 : 9 , b ) 11 : 18 , c ) 21 : 19 , d ) 21 : 19 , e ) none", "output": [ "a" ] }, { "id": "task1420-d71679e8e27f4926a68f39fc14af3209", "input": "Problem: in an election contested by two parties , party d secured 12 % of the total votes more than party r . if party r got 132000 votes , by how many votes did it lose the election ? \nOptions: a ) 240000 , b ) 300000 , c ) 168000 , d ) 36000 , e ) 24,000", "output": [ "d" ] }, { "id": "task1420-d6254e269ace4dfea8c6d6458063f047", "input": "Problem: ajay and vijay have some marbles with them . ajay told vijay ` ` if you give me ' x ' marbles , both of us will have equal number of marbles ' ' . vijay then told ajay ` ` if you give me twice as many marbles , i will have 30 more marbles than you would ' ' . find ' x ' ? \nOptions: a ) 7 , b ) 5 , c ) 6 , d ) 4 , e ) 3", "output": [ "b" ] }, { "id": "task1420-2659a06eba4c45edbeab8a17c40e0ec8", "input": "Problem: a manufacturer produces a certain men ' s athletic shoe in integer sizes from 8 to 17 . for this particular shoe , each unit increase in size corresponds to a 1 / 5 - inch increase in the length of the shoe . if the largest size of this shoe is 20 % longer than the smallest size , how long , in inches , is the shoe in size 15 ? \nOptions: a ) 8.6 , b ) 9.8 , c ) 10.4 , d ) 11.2 , e ) 12.6", "output": [ "c" ] }, { "id": "task1420-c3ffa3c31ce249089531dee9e4812e60", "input": "Problem: mark bought a set of 6 flower pots of different sizes at a total cost of $ 8.25 . each pot cost 0.15 more than the next one below it in size . what was the cost , in dollars , of the largest pot ? \nOptions: a ) $ 1.75 , b ) $ 1.85 , c ) $ 2.00 , d ) $ 2.15 , e ) $ 2.30", "output": [ "a" ] }, { "id": "task1420-37c98677f47949b7b88d0761f35d26bd", "input": "Problem: aram ’ s car was fined when he gave joe and peter a ride , so they decided to help aram pay the fine . joe paid $ 3 more than 1 / 4 of the fine and peter paid $ 3 less than 1 / 3 of the fine , leaving pay $ 4 less than 1 / 2 the fine to complete the payment . what fraction of the fine did aram pay ? \nOptions: a ) $ 13 , b ) $ 15 , c ) $ 20 , d ) $ 28 , e ) $ 48", "output": [ "c" ] }, { "id": "task1420-cb045349b985424b8abc1baf027d906f", "input": "Problem: in a zoo there are 30 penguins , 22 zebras , and 8 tigers with some zookeepers . if the total number of heads are 132 less than the number of feet , the number of zookeepers is \nOptions: a ) 12 , b ) 14 , c ) 16 , d ) 18 , e ) 22", "output": [ "a" ] }, { "id": "task1420-cba2ff1867f645f1a8ff20b86b0f94e4", "input": "Problem: 10 % people of a village in sri lanka died by bombardment , 15 % of the remainder left the village on account of fear . if now the population is reduced to 6514 , how much was it in the beginning ? \nOptions: a ) 8545 , b ) 8770 , c ) 8515 , d ) 7999 , e ) 7989", "output": [ "c" ] }, { "id": "task1420-95d4042d08074157840495ebd225068d", "input": "Problem: average monthly income of a family of 4 earning members was rs . 735 . one of the earning members died and therefore , the average income came down to rs 590 . the income of the deceased was ? \nOptions: a ) rs . 692.80 , b ) rs . 820 , c ) rs . 1170 , d ) rs . 1385 , e ) none", "output": [ "c" ] }, { "id": "task1420-ca87de50e22d4d949ad1dbeb67193640", "input": "Problem: if there are 20 apples and the apples have to be shared equally among 3 babies . what number of apples are to be added ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "a" ] }, { "id": "task1420-73902d4cfa4e46d6960ede63d345c3b3", "input": "Problem: x is a positive integer less than 500 . when x is divided by 7 , the remainder is 1 ; when x is divided by 3 , the remainder is 2 . how many x are there ? \nOptions: a ) 21 , b ) 22 , c ) 23 , d ) 24 , e ) 25", "output": [ "d" ] }, { "id": "task1420-0ae5673ce0c341d494a2bcc79e0c5899", "input": "Problem: a basketball player practices 2 hours a day monday through friday . how many hours must he practice saturday and sunday combined if he wants to practice an average ( arithmetic mean ) of 3 hours a day for the 7 day week ? \nOptions: a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 12", "output": [ "d" ] }, { "id": "task1420-5f192fe2ed214f11ad4f94d6cfeeef79", "input": "Problem: if the operation € is defined for all x and y by the equation x € y = 3 * x * y , then 3 € ( 4 € 5 ) = \nOptions: a ) 80 , b ) 120 , c ) 160 , d ) 540 , e ) 660", "output": [ "d" ] }, { "id": "task1420-2c45167617814bd79feaa88ea18c0fc5", "input": "Problem: how many liters of pure alcohol must be added to a 100 - liter solution that is 20 percent alcohol in order to produce a solution that is 32 percent alcohol ? \nOptions: a ) 7 / 2 , b ) 5 , c ) 20 / 3 , d ) 8 , e ) 300 / 17", "output": [ "e" ] }, { "id": "task1420-7be06833d21f4dba825cc808e4d69cda", "input": "Problem: at the end of year x , automobile installment credit accounted for 35 % of all outstanding consumer installment credit . at that time automobile finance companies extended $ 40 billion of credit , or 1 / 3 of the automobile installment credit . how many billion dollars of consumer installment credit was outstanding at that time ? \nOptions: a ) 120 , b ) 300 , c ) 401.36 , d ) 350.15 , e ) 342.86", "output": [ "e" ] }, { "id": "task1420-c47030dfc6fc40a4801ace1702538e22", "input": "Problem: what least number must be subtracted from 652543 so that remaining no . is divisible by 12 \nOptions: a ) 3 , b ) 5 , c ) 7 , d ) 8 , e ) 9", "output": [ "c" ] }, { "id": "task1420-b973a995bf2846f59088cb5b7163c533", "input": "Problem: 4,18 , 100,294 , ___ \nOptions: a ) 1000 , b ) 1100 , c ) 1210 , d ) 1452 , e ) 1552", "output": [ "c" ] }, { "id": "task1420-5c7d8c86e29740309b73be1315da921c", "input": "Problem: in how many ways can 5 different rings be worn in 4 particular fingers ? ( some fingers may get more than one ring and some may get no rings . ) can somebody explain ? \nOptions: a ) 6720 , b ) 7720 , c ) 7820 , d ) 7950 , e ) 8120", "output": [ "a" ] }, { "id": "task1420-c1c20998878c49e99e016f6df88392a0", "input": "Problem: a certain elevator has a safe weight limit of 2,500 pounds . what is the greatest possible number of people who can safely ride on the elevator at one time with the average ( arithmetic mean ) weight of half the riders being 200 pounds and the average weight of the others being 230 pounds ? \nOptions: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11", "output": [ "e" ] }, { "id": "task1420-72b00bb5f87a4d3690f6d514a65ef4d3", "input": "Problem: how many multiples of 3 are there between 5 and 59 , 5 and 59 inclusive ? \nOptions: a ) 16 , b ) 22 , c ) 18 , d ) 11 , e ) 9", "output": [ "c" ] }, { "id": "task1420-0d6d024a7ab54d12baf3a0a7c47de2d6", "input": "Problem: the sum of number of boys and girls in a school is 900 . if the number of boys is x , then the number of girls becomes x % of the total number of students . the number of boys is ? \nOptions: a ) 50 , b ) 40 , c ) 60 , d ) 90 , e ) 70", "output": [ "d" ] }, { "id": "task1420-3701bb6231be4abc8d57a0375c787d87", "input": "Problem: eighteen years ago , a father was 3 times as old as his son . now the father is only twice as old as his son . then the sum of the present ages of the son and the father is : \nOptions: a ) 120 , b ) 76 , c ) 108 , d ) 105 , e ) 86", "output": [ "c" ] }, { "id": "task1420-205698bc59f24f62964c73fdd2bd9a34", "input": "Problem: find the value of a / b + b / a , if a and b are the roots of the quadratic equation x 2 + 9 x + 3 = 0 ? \nOptions: a ) 28.3 , b ) 1.45 , c ) 2.78 , d ) 6.84 , e ) 7.23", "output": [ "a" ] }, { "id": "task1420-13c83947e23c447aa8e8c840f8927800", "input": "Problem: paul ' s income is 40 % less than rex ' s income , quentin ' s income is 20 % less than paul ' s income , and sam ' s income is 40 % less than paul ' s income . if rex gave 60 % of his income to sam and 40 % of his income to quentin , quentin ' s new income would be what fraction of sam ' s new income ? \nOptions: a ) 11 / 12 , b ) 13 / 17 , c ) 13 / 19 , d ) 12 / 19 , e ) 11 / 19", "output": [ "a" ] }, { "id": "task1420-c7da7b9018314bbdbbb4cef48a3f4737", "input": "Problem: find the value of 85 p 3 . \nOptions: a ) 565350 , b ) 595650 , c ) 535950 , d ) 565350 , e ) 575350", "output": [ "b" ] }, { "id": "task1420-c0425d4db17b4894905979185537bf00", "input": "Problem: each year for 4 years , a farmer increased the number of trees in a certain orchard by 1 / 4 of the number of trees in the orchard of the preceding year . if all of the trees thrived and there were 12500 trees in the orchard at the end of 4 year period , how many trees were in the orchard at the beginning of the 4 year period . \nOptions: a ) 5113 , b ) 5117 , c ) 5120 , d ) 8119 , e ) 10115", "output": [ "c" ] }, { "id": "task1420-493bd9a66a6743afa1f5c221c7aaadf2", "input": "Problem: the average ( arithmetic mean ) of the integers from 25 to 225 , inclusive , is how much lower than the average of the integers from 50 to 1050 inclusive ? \nOptions: a ) 450 , b ) 375 , c ) 500 , d ) 425 , e ) 400", "output": [ "d" ] }, { "id": "task1420-620eca61af854db6a9b42ff41d0ab28b", "input": "Problem: how many integerskgreater than 100 and less than 700 are there such that if the hundreds and the units digits ofkare reversed , the resulting integer is k + 99 ? \nOptions: a ) 50 , b ) 60 , c ) 70 , d ) 80 , e ) 90", "output": [ "a" ] }, { "id": "task1420-300c3b2384714645a534b0dc4a5c7b5f", "input": "Problem: john want to buy a $ 100 trouser at the store , but he think it â € ™ s too expensive . finally , it goes on sale for $ 70 . what is the percent decrease ? \nOptions: a ) 20 % , b ) 30 % , c ) 40 % , d ) 50 % , e ) 60 %", "output": [ "b" ] }, { "id": "task1420-5967d05201e64643b0624dc61680c082", "input": "Problem: find a sum for 1 st 5 prime no . ' s ? \nOptions: a ) 23 , b ) 28 , c ) 30 , d ) 32 , e ) 34", "output": [ "b" ] }, { "id": "task1420-1db818f6a45d4f42a45de7425989a04d", "input": "Problem: in a fort , there are 1200 soldiers . if each soldier consumes 3 kg per day , the provisions available in the fort will last for 30 days . if some more soldiers join , the provisions available will last for 25 days given each soldier consumes 2.5 kg per day . find the number of soldiers joining the fort in that case . \nOptions: a ) 627 , b ) 528 soldiers , c ) 626 , d ) 657 , e ) 673", "output": [ "b" ] }, { "id": "task1420-0a2aa64b7b1146518f460b3fc802ed4b", "input": "Problem: the average age of applicants for a new job is 32 , with a standard deviation of 8 . the hiring manager is only willing to accept applicants whose age is within one standard deviation of the average age . assuming that all applicants ' ages are integers and that the endpoints of the range are included , what is the maximum number of different ages of the applicants ? \nOptions: a ) 8 , b ) 77 , c ) 7 , d ) 18 , e ) 34", "output": [ "c" ] }, { "id": "task1420-616eb26a80c040d39acafad0f46e10fb", "input": "Problem: what is the sum of all the multiples of 8 between 30 and 100 ? \nOptions: a ) 485 , b ) 72 , c ) 547 , d ) 104 , e ) 624", "output": [ "e" ] }, { "id": "task1420-43808a3fe77b4911a1b96338a1d2181d", "input": "Problem: john was thrice as old as tom 6 years ago . john will be 15 / 13 times as old as tom in 6 years . how old is tom today ? \nOptions: a ) 5 , b ) 7 , c ) 9 , d ) 11 , e ) 13", "output": [ "b" ] }, { "id": "task1420-6a783737f6324791b3bc96e2e7a7c1cd", "input": "Problem: find ( 7 x + 5 y ) / ( x - 2 y ) if x / 2 y = 3 / 2 ? \nOptions: a ) 24 , b ) 25 , c ) 26 , d ) 27 , e ) 29", "output": [ "c" ] }, { "id": "task1420-2974099c50ae44af99ce110fa3373db6", "input": "Problem: the tax on a commodity is diminished by 20 % and its consumption increased by 15 % . the effect on revenue is ? \nOptions: a ) 9 % decrease , b ) 8 % decrease , c ) 6 % decrease , d ) 1 % decrease , e ) 2 % decrease", "output": [ "b" ] }, { "id": "task1420-598b89852e21472bbabeebd7243ed7de", "input": "Problem: the average of squares of first 11 consecutive even numbers is : \nOptions: a ) 164 , b ) 174 , c ) 184 , d ) 194 , e ) 204", "output": [ "c" ] }, { "id": "task1420-ceafa559eb13412e8bff6c3a28b0793e", "input": "Problem: two employees x and y are paid a total of rs . 590 per week by their employer . if x is paid 120 percent of the sum paid to y , how much is y paid per week ? \nOptions: a ) s . 268 , b ) s . 288 , c ) s . 298 , d ) s . 300 , e ) s . 388", "output": [ "a" ] }, { "id": "task1420-764aa18aa8ce4d988b303ba953ac2898", "input": "Problem: in kaya ' s teacher ' s desk there are 10 pink highlighters , 15 yellow highlighters , and 8 blue highlighters . how many highlighters are there in all ? \nOptions: a ) 11 , b ) 22 , c ) 77 , d ) 33 , e ) 88", "output": [ "d" ] }, { "id": "task1420-f8b5dbe78ad64eca8387bbf378489681", "input": "Problem: if 50 % of x is 25 less than 25 % of 2500 , then x is ? \nOptions: a ) 1880 , b ) 2160 , c ) 1200 , d ) 8400 , e ) 1210", "output": [ "c" ] }, { "id": "task1420-90c24614255940f38e7cee548e637ea5", "input": "Problem: a computer manufacturer produces a certain electronic component at a cost of $ 80 per component . shipping costs for delivering the components are $ 6 per unit . further , the manufacturer has costs of $ 16,500 a month related to the electronic component regardless of how many it produces . if the manufacturer produces and sells 150 components a month , what is the lowest price it can sell them for such that the costs do n ' t exceed the revenues ? \nOptions: a ) $ 28 , b ) $ 82 , c ) $ 110 , d ) $ 138 , e ) $ 196", "output": [ "e" ] }, { "id": "task1420-68d60d2666244e369a4eeb326f6f3f19", "input": "Problem: the average of 5 quantities is 6 . the average of 3 of them is 4 . what is the average of remaining 2 numbers ? \nOptions: a ) 9 , b ) 10 , c ) 8 , d ) 9.5 , e ) none of these", "output": [ "a" ] }, { "id": "task1420-61a38096c06047cf9dd31e4a5ae61938", "input": "Problem: in a 20 litre mixture ratio of milk and water is 3 : 1 . how much milk should added so that mixture ratio become 4 : 1 ? \nOptions: a ) 3 , b ) 2 , c ) 8 , d ) 6 , e ) 5", "output": [ "e" ] }, { "id": "task1420-d3820b9e6e974a31901c2032230e00f6", "input": "Problem: if x is 30 percent greater than 88 , then x = \nOptions: a ) 68 , b ) 70.4 , c ) 86 , d ) 114.4 , e ) 108", "output": [ "d" ] }, { "id": "task1420-a062ad98ee614a369d1eeaef50ce9059", "input": "Problem: the least number which when divided by 5 , 6 , 7 and 8 leaves a remainder 3 , but when divided by 9 leaves no remainder , is : \nOptions: a ) 2377 , b ) 1683 , c ) 2677 , d ) 9972 , e ) 1611", "output": [ "b" ] }, { "id": "task1420-5f9e070e80aa4bf29785dcf29793c9eb", "input": "Problem: how much water must be added to 60 litres of milk at 1 1 ⁄ 2 litres for 20 so as to have a mixture worth 10 2 ⁄ 3 a litre ? \nOptions: a ) 10 litres , b ) 12 litres , c ) 15 litres , d ) 18 litres , e ) none of these", "output": [ "c" ] }, { "id": "task1420-d1362bb51deb4d30be70d4ee6ff59a98", "input": "Problem: if it takes a tub 4 minutes to drain 5 / 7 of its content , how much more time will it take for the tub to be empty ? \nOptions: a ) 48 seconds , b ) 1 minute , 12 seconds , c ) 1 minute , 36 seconds , d ) 2 minutes , 14 seconds , e ) 4 minutes , 12 seconds", "output": [ "c" ] }, { "id": "task1420-65a6d606f50744c5a9baf3dbf0cbe2b0", "input": "Problem: if x is 11 percent greater than 70 , then x = \nOptions: a ) 77.7 , b ) 91.0 , c ) 88.0 , d ) 70.9 , e ) 71.2", "output": [ "a" ] }, { "id": "task1420-7aa47c7f5f824393b5384008855e57a6", "input": "Problem: two employees x and y are paid a total of rs . 650 per week by their employer . if x is paid 120 percent of the sum paid to y , how much is y paid per week ? \nOptions: a ) s . 200.45 , b ) s . 250.45 , c ) s . 295.45 , d ) s . 300.45 , e ) s . 310.45", "output": [ "c" ] }, { "id": "task1420-3098b7f667704b8798b716588db18f84", "input": "Problem: the mean proportional between 234 and 104 is \nOptions: a ) 12 , b ) 39 , c ) 54 , d ) 156 , e ) none", "output": [ "d" ] }, { "id": "task1420-35ed1e1e8706426398e5210c602bc9f5", "input": "Problem: farm tax is levied on the 50 % of the cultivated land . the tax department collected total $ 3840 through the farm tax from the village of mr . william . mr . william paid only $ 480 as farm tax . the percentage of total land of mr . willam over the total taxable land of the village is : \nOptions: a ) 15 % , b ) 25 % , c ) 0.125 % , d ) 0.2083 % , e ) none", "output": [ "b" ] }, { "id": "task1420-e21819299ea64bd08f1ace972446369e", "input": "Problem: the ratio 15 : 25 expressed as percent equals to \nOptions: a ) 70 % , b ) 60 % , c ) 30 % , d ) 75 % , e ) none of above", "output": [ "b" ] }, { "id": "task1420-2686cbac3a3f48da902623dc8f25b25b", "input": "Problem: a school has 4 section of chemistry in class x having 60 , 35 , 45 and 42 students . the mean marks obtained in chemistry test are 50 , 60 , 55 and 45 respectively for the 4 sections . determine the overall average of marks per student . \nOptions: a ) 50 , b ) 52 , c ) 51 , d ) 53 , e ) none of the above", "output": [ "b" ] }, { "id": "task1420-54565deb5875405e8343322f87e9e913", "input": "Problem: a line that passes through ( – 1 , – 4 ) and ( 4 , k ) has a slope = k . what is the value of k ? \nOptions: a ) 3 / 4 , b ) 1 , c ) 4 / 3 , d ) 2 , e ) 7 / 2", "output": [ "b" ] }, { "id": "task1420-12f90185b7944e629cbc27b3b42e6db8", "input": "Problem: the positive numbers w , x , y , and z are such that x is 30 percent greater than y , y is 20 percent greater than z , and w is 20 percent less than x . what percent greater than z is w ? \nOptions: a ) 15.2 % , b ) 16.0 % , c ) 20.0 % , d ) 23.2 % , e ) 24.8 %", "output": [ "c" ] }, { "id": "task1420-8e62d8b4f6154bfa9879c61b057dc79a", "input": "Problem: the sum of the even numbers between 1 and n is 81 * 82 , where n is an odd number , then n = ? \nOptions: a ) 163 , b ) 171 , c ) 177 , d ) 185 , e ) 193", "output": [ "a" ] }, { "id": "task1420-06d84f4e404a4e1da3ff75f4c2c115e3", "input": "Problem: find the average of first 15 natural numbers . \nOptions: a ) 10 , b ) 120 , c ) 15 , d ) 8 , e ) 16", "output": [ "d" ] }, { "id": "task1420-8a44fa0b21824f6ab9800e70114fae3e", "input": "Problem: the average of first six prime numbers which are between 30 and 70 is \nOptions: a ) 35.4 , b ) 42 , c ) 45.7 , d ) 57 , e ) 67", "output": [ "b" ] }, { "id": "task1420-63c9af8615a940bb9e26f97321c8623e", "input": "Problem: united telephone charges a base rate of $ 7.00 for service , plus an additional charge of $ 0.25 per minute . atlantic call charges a base rate of $ 12.00 for service , plus an additional charge of $ 0.20 per minute . for what number of minutes would the bills for each telephone company be the same ? \nOptions: a ) 200 minutes , b ) 100 minutes , c ) 120 minutes , d ) 140 minutes , e ) 160 minutes", "output": [ "b" ] }, { "id": "task1420-7b4f26ebc5d44c42a5a381bb9fde8f21", "input": "Problem: find the value of m 62519 x 9999 = m ? \nOptions: a ) 724533811 , b ) 625127481 , c ) 545463251 , d ) 725117481 , e ) 677899932", "output": [ "b" ] }, { "id": "task1420-bf36263e908443c3b99cf2742a86f61d", "input": "Problem: when positive integer n is divided by positive integer j , the remainder is 27 . if n / j = 204.09 , what is value of j ? \nOptions: a ) 300 , b ) 320 , c ) 360 , d ) 410 , e ) 420", "output": [ "a" ] }, { "id": "task1420-be0297af013f4c2ab1cdeaa11d81112d", "input": "Problem: the cost of 10 kg of mangos is equal to the cost of 24 kg of rice . the cost of 6 kg of flour equals the cost of 2 kg of rice . the cost of each kg of flour is $ 20.50 . find the total cost of 4 kg of mangos , 3 kg of rice and 5 kg of flour ? \nOptions: a ) 347.4 , b ) 987.4 , c ) 877.4 , d ) 637.4 , e ) 667.4", "output": [ "c" ] }, { "id": "task1420-dddae8ed21d143129b63ea9bbaa5e922", "input": "Problem: what is the total number of integers between 100 and 500 ( exclusive ) that are divisible by 5 ? \nOptions: a ) 51 , b ) 63 , c ) 79 , d ) 66 , e ) 42", "output": [ "c" ] }, { "id": "task1420-f5bc86cc69664d238a899c5ee989edbe", "input": "Problem: the amount of an investment will double in approximately 70 / p years , where p is the percent interest , compounded annually . if thelma invests $ 40,000 in a long - term cd that pays 5 percent interest , compounded annually , what will be the approximate total value of the investment when thelma is ready to retire 42 years later ? \nOptions: a ) $ 280,000 , b ) $ 320,000 , c ) $ 360,000 , d ) $ 450,000 , e ) $ 540,000", "output": [ "b" ] }, { "id": "task1420-0ec6c14b2ccd43259d8cf4ec928873cf", "input": "Problem: a group of n students can be divided into equal groups of 4 with 1 student left over or equal groups of 5 with 4 students left over . what is the sum of the two smallest possible values of n ? \nOptions: a ) 30 , b ) 34 , c ) 38 , d ) 42 , e ) 46", "output": [ "c" ] }, { "id": "task1420-b3de0c40a3804464bd7b7d9db820e726", "input": "Problem: the sum of three consecutive even numbers is 20 more than the first of these numbers . what is the middle number ? \nOptions: a ) 7 , b ) 9 , c ) 11 , d ) can not be determined , e ) none of these", "output": [ "b" ] }, { "id": "task1420-429e503ff57f4abdbc64fd9c6714eb4b", "input": "Problem: 387 x 387 + 114 x 114 + 2 x 387 x 114 = ? \nOptions: a ) 250001 , b ) 251001 , c ) 260101 , d ) 261001 , e ) none of these", "output": [ "b" ] }, { "id": "task1420-58fb963d534b4ae9b9403f9bcee61bda", "input": "Problem: 49 ã — 49 ã — 49 ã — 49 x 49 = 7 ? \nOptions: a ) 4 , b ) 7 , c ) 8 , d ) 10 , e ) none of these", "output": [ "d" ] }, { "id": "task1420-7751285a056f4eb1a7eb4aa1b035adaf", "input": "Problem: bottle r contains 250 capsules and costs $ 6.25 . bottle t contains 100 capsules and costs $ 3.0 . what is the difference between the cost per capsule for bottle r and the cost per capsule for bottle t ? \nOptions: a ) $ 0.25 , b ) $ 0.12 , c ) $ 0.05 , d ) $ 0.003 , e ) $ 0.005", "output": [ "e" ] }, { "id": "task1420-94e2e8f553a045f8ad316652a4f64bd6", "input": "Problem: an army ’ s recruitment process included n rounds of selection tasks . for the first a rounds , the rejection percentage was 60 percent per round . for the next b rounds , the rejection percentage was 50 percent per round and for the remaining rounds , the selection percentage was 70 percent per round . if there were 100000 people who applied for the army and 1400 were finally selected , what was the value of n ? \nOptions: a ) 4 , b ) 5 , c ) 6 , d ) 8 , e ) 10", "output": [ "c" ] }, { "id": "task1420-558ad1a60f81402aaa152d115b9f620c", "input": "Problem: how many positive integers less than 100 are neither multiples of 3 or 5 . \nOptions: a ) a ) 30 , b ) b ) 31 , c ) c ) 32 , d ) d ) 53 , e ) e ) 34", "output": [ "d" ] }, { "id": "task1420-87ad26d359534fa9b5965b0fa0803de4", "input": "Problem: subtracting 5 % of a from a is equivalent to multiplying a by how much ? \nOptions: a ) 0.95 , b ) 9.4 , c ) 0.094 , d ) 94 , e ) none", "output": [ "a" ] }, { "id": "task1420-93bac84585944f98b91609f70abe2508", "input": "Problem: if n is an integer from 1 to 96 ( inclusive ) , what is the probability for n * ( n + 1 ) * ( n + 2 ) being divisible by 8 ? \nOptions: a ) 25 % , b ) 50 % , c ) 62.5 % , d ) 72.5 % , e ) 75 %", "output": [ "a" ] }, { "id": "task1420-04a2400062a24442adc41fe7c50c706d", "input": "Problem: the average of 10 consecutive odd numbers is 22 . what is the sum of the first 3 numbers ? \nOptions: a ) 13 , b ) 45 , c ) 17 , d ) 220 , e ) 90", "output": [ "b" ] }, { "id": "task1420-2652abf4cdb04b8da64b883931373903", "input": "Problem: prints a page 40 pg per min . if the printed for 2 hours except 20 min . where there was an paper jam , how many page did it print \nOptions: a ) 4,000 , b ) 12,880 , c ) 14,880 , d ) 8,880 , e ) 18,880", "output": [ "a" ] }, { "id": "task1420-4dbf744d34194cd288bb511a02ef20e6", "input": "Problem: in a company of 11 employees , 5 employees earn $ 32,000 , 4 employees earn $ 45,000 , and the 2 highest - paid employees earn the same amount . if the average annual salary for the 11 employees is $ 48,000 , what is the annual salary for each of the highest - paid employees ? \nOptions: a ) $ 90,000 , b ) $ 94,000 , c ) $ 98,000 , d ) $ 102,000 , e ) $ 106,000", "output": [ "b" ] }, { "id": "task1420-de59c3909a98421cbf0e02d1833a16c8", "input": "Problem: a number when divided by 342 gives a remainder 47 . when the same number if it divided by 19 , what would be the remainder ? \nOptions: a ) 1 , b ) 2 , c ) 5 , d ) 9 , e ) 11", "output": [ "d" ] }, { "id": "task1420-926dab37d0574dc8b7189a08a27b3e6a", "input": "Problem: what is the remainder when 1201 × 1202 × 1204 × 1205 is divided by 6 ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "d" ] }, { "id": "task1420-b6f568c1941b475582f6e6ce3656e9c9", "input": "Problem: for any number z , z * is defined as the greatest positive even integer less than or equal to y . what is the value of 6.45 – 6.45 * ? \nOptions: a ) 0.45 , b ) 0.5 , c ) 6.45 , d ) 0.25 , e ) 6.0", "output": [ "a" ] }, { "id": "task1420-edfbac5a17a64e40b9d1f6ee4a635256", "input": "Problem: sophia finished 2 / 3 of a book . she calculated that she finished 90 more pages than she has yet to read . how long is her book ? \nOptions: a ) 229 , b ) 270 , c ) 877 , d ) 266 , e ) 281", "output": [ "b" ] }, { "id": "task1420-8d6e09feb8014779aea9857e58a280e2", "input": "Problem: 10 is 6 % of a , and 6 is 10 % of b . c equals b / a . what is the value of c ? \nOptions: a ) 3 / 10 , b ) 6 / 17 , c ) 9 / 25 , d ) 10 / 33 , e ) 12 / 35", "output": [ "c" ] }, { "id": "task1420-0b6f7939d06043bcb66d6505e28f259b", "input": "Problem: 300 first - time customers of a fashion store were surveyed for their shopping experience right after leaving the store . 60 % of the customers in the survey had purchased clothes for less than $ 100 . 40 % of the customers in the survey reported they were overall satisfied with their purchase . 45 % of the customers that had purchased clothes for less than $ 100 reported they were overall satisfied with their purchase . what percent of the customers surveyed purchased clothes for at least $ 100 and reported that they were not overall satisfied with their purchase ? \nOptions: a ) 15 , b ) 25 , c ) 13 , d ) 45 , e ) 75", "output": [ "c" ] }, { "id": "task1420-b7f482fad3e241ca9e6f20fa4ad94be0", "input": "Problem: if 5 x + 3 = 10 x – 17 , what is the value of x ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "d" ] }, { "id": "task1420-be9a83985cdd4d84bf06040cd8eb6fb8", "input": "Problem: two - third of a positive number and 49 / 216 of its reciprocal are equal . the number is : \nOptions: a ) 5 / 12 , b ) 7 / 12 , c ) 25 / 144 , d ) 144 / 25 , e ) 146 / 25", "output": [ "b" ] }, { "id": "task1420-c12e7ec6cfd948c380511e740b887438", "input": "Problem: if q = { 1 , 7 , 18 , 20 , 29 , 33 } , how much less is the mean of the numbers in q than the median of the numbers in q ? \nOptions: a ) 1.0 , b ) 1.5 , c ) 2.0 , d ) 2.5 , e ) 3.0", "output": [ "a" ] }, { "id": "task1420-eea9416cc35343eb8b72ba8839215105", "input": "Problem: what is the smallest integer that is multiple of 3 , 5,9 \nOptions: a ) a ) 70 , b ) b ) 45 , c ) c ) 200 , d ) d ) 280 , e ) e ) 140", "output": [ "b" ] }, { "id": "task1420-ceb02f568d1a4f88a0acf4ddc0f95e04", "input": "Problem: a train starts full of passengers . at the first station , it drops one - third of the passengers and takes 280 more . at the second station , it drops one - half of the new total and takes 12 more . on arriving at the third station , it is found to have 248 passengers . find the number of passengers in the beginning . \nOptions: a ) 240 , b ) 248 , c ) 280 , d ) 288 , e ) 290", "output": [ "d" ] }, { "id": "task1420-3492412793e74640995a2b72536ea2fe", "input": "Problem: the ratio between sumit ' s and prakash ' s age at present is 2 : 3 . sumit is 6 years younger than prakash . the ratio of sumit ' s age to prakash ' s age after 6 years will be : \nOptions: a ) 1 : 2 , b ) 2 : 3 , c ) 3 : 4 , d ) 3 : 8 , e ) none", "output": [ "c" ] }, { "id": "task1420-f9b37b1dbb25442297452a252d44e52b", "input": "Problem: the product of x and y is a constant . if the value of x is increased by 30 % , by what percentage must the value of y be decreased ? \nOptions: a ) 16 % , b ) 23.07 % , c ) 25 % , d ) 30 % , e ) 35 %", "output": [ "b" ] }, { "id": "task1420-90b5a988986c466aa08de636a7a9e4f2", "input": "Problem: what two - digit number is less than the sum of the square of its digits by 10 and exceeds their doubled product by 5 ? \nOptions: a ) 94 , b ) 99 , c ) 26 , d ) 73 , e ) none of the above", "output": [ "a" ] }, { "id": "task1420-5b828c4f5ab54baaabdeb58dc7bea7b3", "input": "Problem: for what value of k will the two equations 2 x + 4 = 4 ( x - 2 ) and - x + k = 2 x - 1 have the same solution ? \nOptions: a ) 15 , b ) 16 , c ) 18 , d ) 19 , e ) 17", "output": [ "e" ] }, { "id": "task1420-13d913060bc04a27bc2ecc535b746f5c", "input": "Problem: the smallest number which when diminished by 8 , is divisible 8 , 16 , 24 , 32 and 40 is : \nOptions: a ) 1008 , b ) 1015 , c ) 488 , d ) 490 , e ) 590", "output": [ "c" ] }, { "id": "task1420-4bae4baebb64448c98cdc9570f7f3ca5", "input": "Problem: cost is expressed by the formula tb ^ 4 . if b is doubled , the new cost is what percent of the original cost ? \nOptions: a ) 200 , b ) 600 , c ) 800 , d ) 1600 , e ) 50", "output": [ "d" ] }, { "id": "task1420-fb0fb754eb0b414086b5d393048787a8", "input": "Problem: if 5 a = 6 b and ab ≠ 0 , what is the ratio of a / 6 to b / 5 ? \nOptions: a ) 36 / 25 , b ) 10 / 12 , c ) 1 , d ) 1 / 5 , e ) 25 / 36", "output": [ "c" ] }, { "id": "task1420-31041847d7724a30aebb3c142160a262", "input": "Problem: the tax on a commodity is diminished by 22 % but its consumption is increased by 9 % . find the decrease percent in the revenue derived from it ? \nOptions: a ) 20 % , b ) 18 % , c ) 15 % , d ) 12 % , e ) 14 %", "output": [ "c" ] }, { "id": "task1420-efd9ee56d5a8414fa4e808d38bf0bafa", "input": "Problem: what least number should be added to 1019 , so that the sum is completely divisible by 25 ? \nOptions: a ) 4 , b ) 3 , c ) 2 , d ) 0 , e ) 6", "output": [ "e" ] }, { "id": "task1420-e82c18ed34d240e3b162fc3f87dbc206", "input": "Problem: a corporation double its annual bonus to 100 of its employees . what percent of the employees ’ new bonus is the increase ? \nOptions: a ) 50 % , b ) 12 % , c ) 8 % , d ) 6 % , e ) 5 %", "output": [ "a" ] }, { "id": "task1420-2301f30920c44e7086be4c8cc1b7a2fd", "input": "Problem: in track last week , the boys ran 27 laps . the girls ran 9 more laps . each lap is a 3 - fourth of a mile . how many miles did the girls run ? \nOptions: a ) 24 miles , b ) 25 miles , c ) 26 miles , d ) 27 miles , e ) 28 miles", "output": [ "d" ] }, { "id": "task1420-d1faaff14e614bf6801419d117156625", "input": "Problem: a , b , c subscribe rs . 50,000 for a business . if a subscribes rs . 4000 more than b and b rs . 5000 more than c , out of a total profit of rs . 38,000 , what will be the amount a receives ? \nOptions: a ) 14700 , b ) 15960 , c ) 14900 , d ) 14300 , e ) 14000", "output": [ "b" ] }, { "id": "task1420-953475ed151d496f87b591a96cc70519", "input": "Problem: the average weight of 9 person ' s increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg . what is the weight of the new person ? \nOptions: a ) 85.5 , b ) 86.5 , c ) 87.5 , d ) 88.5 , e ) 89.5", "output": [ "c" ] }, { "id": "task1420-ce839a194beb42c39e7bf13482c9967a", "input": "Problem: the average salary per head of the entire staff of an office including the officers and clerks is rs . 90 . the average salary of officers is rs . 600 and that of the clerks is rs . 84 . if the number of officers is 2 , find the number of officers in the office ? \nOptions: a ) 1 , b ) 8 , c ) 7 , d ) 6 , e ) 2", "output": [ "a" ] }, { "id": "task1420-ade674c1be514e6ea53045bdc29280b3", "input": "Problem: find the numbers which are in the ratio 3 : 2 : 3 such that the sum of the first and the second added to the difference of the third and the second is 24 ? \nOptions: a ) 4 , 3,22 , b ) 4 , 4,22 , c ) 9 , 3,32 , d ) 9 , 6,12 , e ) 18 , 12,18", "output": [ "e" ] }, { "id": "task1420-041985bc95884887b49b6b26fb54b25e", "input": "Problem: there is a 30 % increase in the price of an article in the first year , a 20 % decrease in the second year and a 10 % increase in the next year . if the final price of the article is rs . 2288 , then what was the price of the article initially ? \nOptions: a ) rs . 2008 , b ) rs . 2022 , c ) rs . 2000 , d ) rs . 2029 , e ) rs . 2021", "output": [ "c" ] }, { "id": "task1420-4c0b620e2fe54ab08b677d401357c074", "input": "Problem: ann and bob drive separately to a meeting . ann ' s average driving speed is greater than bob ' s avergae driving speed by one - third of bob ' s average driving speed , and ann drives twice as many miles as bob . what is the ratio r of the number of hours ann spends driving to the meeting to the number of hours bob spends driving to the meeting ? \nOptions: a ) 8 : 3 , b ) 3 : 2 , c ) 4 : 3 , d ) 2 : 3 , e ) 3 : 8", "output": [ "b" ] }, { "id": "task1420-7d7b73978bfc4c08a792b9bb8dfffb37", "input": "Problem: the “ length of integer x ” refers to the number of prime factors , not necessarily distinct , that x has . ( if x = 60 , the length of x would be 4 because 60 = 2 × 2 × 3 × 5 . ) what is the greatest possible length of integer z if z < 3000 ? \nOptions: a ) 7 , b ) 9 , c ) 11 , d ) 13 , e ) 15", "output": [ "c" ] }, { "id": "task1420-3e55b3cff94c4d1088a85c2a9e01217b", "input": "Problem: 3 - 5 * 6 + 2 = \nOptions: a ) a ) 2 , b ) b ) - 13 , c ) c ) - 18 , d ) d ) - 17 , e ) e ) - 25", "output": [ "e" ] }, { "id": "task1420-a2b007897fc246c8bdb7f6f4413ada60", "input": "Problem: a batsman in his 17 th innings makes a score of 85 , and thereby increases his average by 3 . what is his average after the 17 th innings ? he had never been ’ not out ’ . \nOptions: a ) 47 , b ) 37 , c ) 39 , d ) 43 , e ) 42", "output": [ "b" ] }, { "id": "task1420-62aece7c86b54fb9b5f13c681e8c3c07", "input": "Problem: if j is the least positive integer that is divisible by every integer from 10 to 15 inclusive , then j / 26 is = \nOptions: a ) 1155 , b ) 2310 , c ) 4620 , d ) 30030 , e ) 60060", "output": [ "b" ] }, { "id": "task1420-8cbe9657ad514bec8384e0e5b5e84ee8", "input": "Problem: if x is equal to the sum of the integers from 50 to 60 , inclusive , and y is the number of even integers from 50 to 60 , inclusive , what is the value of x + y ? \nOptions: a ) 171 , b ) 281 , c ) 391 , d ) 491 , e ) 611", "output": [ "e" ] }, { "id": "task1420-2217159473624a24b992b847a310d138", "input": "Problem: if the average ( arithmetic mean ) of 10 consecutive odd integers is 154 , then the least of these integers is \nOptions: a ) a ) 51 , b ) b ) 58 , c ) c ) 145 , d ) d ) 190 , e ) e ) 210", "output": [ "c" ] }, { "id": "task1420-40d2d444a89342cca735492244fe5274", "input": "Problem: mr . hanson has a pool of money from which to give out christmas bonuses to his 5 employees . he wants all his employees to have identical bonuses , but when he divides them out , he finds he has 2 dollars left over , as the payroll system will only accept whole dollar amounts . the next christmas , mr . hanson discovers the pool for the bonuses is 3 times the size . this time , how much money will be left over ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4", "output": [ "b" ] }, { "id": "task1420-f70f95d2fb924c28a57d7fc971ab7f3a", "input": "Problem: simplify : 8888 + 888 + 88 + 8 \nOptions: a ) 9872 , b ) 9782 , c ) 9827 , d ) 9287 , e ) none of them", "output": [ "a" ] }, { "id": "task1420-a26fb2e6c2e840fb9e823fb986341b40", "input": "Problem: a , b and c have rs . 400 between them , a and c together have rs . 300 and b and c rs . 150 . how much does c have ? \nOptions: a ) 40 , b ) 50 , c ) 60 , d ) 70 , e ) 100", "output": [ "b" ] }, { "id": "task1420-8783a722eb104959a8b455abc938afca", "input": "Problem: if x : y = 3 : 4 , find ( 4 x + 5 y ) : ( 5 x - 2 y ) . \nOptions: a ) 32 / 7 , b ) 13 / 7 , c ) 2 / 7 , d ) 32 / 17 , e ) 2 / 17", "output": [ "a" ] }, { "id": "task1420-4b29b9969bfc4d3582b6e6d6e70bd4fa", "input": "Problem: what is the average of first 21 multiples of 4 ? \nOptions: a ) a ) 44 , b ) b ) 77 , c ) c ) 79 , d ) d ) 81 , e ) e ) 82", "output": [ "a" ] }, { "id": "task1420-c79d3954204e4b8687f18ac9c08e17e7", "input": "Problem: of the two - digit positive integers that have no digits equal to zero , how many have two digits that are equal to each other and the remaining digit different from the other two ? \nOptions: a ) 24 , b ) 9 , c ) 72 , d ) 144 , e ) 216", "output": [ "b" ] }, { "id": "task1420-05a26cf562984b7d9123c6264f73ab1e", "input": "Problem: the cost of 2 chairs and 3 tables is rs . 1400 . the cost of 3 chairs and 2 tables is rs . 1200 . the cost of each table is more than that of each chair by ? \nOptions: a ) 228 , b ) 287 , c ) 277 , d ) 188 , e ) 200", "output": [ "e" ] }, { "id": "task1420-34d87519281245e4b004dd7645803868", "input": "Problem: a library has an average of 510 visitors on sundays and 240 on other days . the average number of visitors per day in a month of 30 days beginning with a sunday is ? \nOptions: a ) 285 , b ) 227 , c ) 271 , d ) 187 , e ) 199", "output": [ "a" ] }, { "id": "task1420-2e63ab2577994c2c93006cb00c1737df", "input": "Problem: a certain bus driver is paid a regular rate of $ 16 per hour for any number of hours that does not exceed 40 hours per week . for any overtime hours worked in excess of 40 hours per week , the bus driver is paid a rate that is 75 % higher than his regular rate . if last week the bus driver earned $ 948 in total compensation , how many total hours did he work that week ? \nOptions: a ) 36 , b ) 40 , c ) 44 , d ) 48 , e ) 51", "output": [ "e" ] }, { "id": "task1420-f3e00051173445e98060e09cde53f871", "input": "Problem: jim needs $ 1000 to buy a new flat - screen tv . since he has only $ 7 , he borrows the remaining balance from his sister mary . the loan will be repaid in 3 annual installments at an interest rate of 10 % , compounded annually . the formula for calculating the monthly payment p is p = ( l x c x r ) / ( c – 1 ) where l = amount of the loan , r = annual interest rate , and c = compounding factor = ( 1 + r ) ^ n where n = number of annual payments . how much does jim have to pay mary at the end of each of the next 3 years ( rounded to the nearest penny ) ? \nOptions: a ) $ 357.67 , b ) $ 375.85 , c ) $ 387.40 , d ) $ 399.30 , e ) $ 433.33", "output": [ "d" ] }, { "id": "task1420-91f7506f100d4844bd601ea49eb08f90", "input": "Problem: a football player scores 2 goals in his fifth match thus increasing his average goals score by 0.1 . the total number of goals in his 5 matches would be \nOptions: a ) 4 , b ) 6 , c ) 8 , d ) 10 , e ) 12", "output": [ "c" ] }, { "id": "task1420-10472a41e36e46ffb18d47d9eae49c14", "input": "Problem: evaluate : 98612 / 22 * 11 * 70 = ? \nOptions: a ) 700.4 , b ) 704.4 , c ) 740.4 , d ) 744.4 , e ) 700.0", "output": [ "b" ] }, { "id": "task1420-8342b5dc559e442c8270f30bb8ee711c", "input": "Problem: soymilk are sold in packages of two or 3 only . if hannah bought 17 soymilk exactly , what could be the number of large packs hannah bought ? \nOptions: a ) 1 , b ) 4 , c ) 3 , d ) 5 , e ) 8", "output": [ "c" ] }, { "id": "task1420-16b1755edb2a49719a1cf37f0851ca60", "input": "Problem: after spending rs . 5000 on rent , rs . 1500 on milk , rs . 4500 on groceries , rs . 2500 on childrens education rs . 2000 on petrol and rs . 3940 on miscellaneous expenses , mr . kishore saved 10 % of his monthly salary . how much did he save in rs . ? \nOptions: a ) 2160 , b ) 2350 , c ) 2000 , d ) 2300 , e ) none of these", "output": [ "a" ] }, { "id": "task1420-657fe2ce187b445ea24332d363b64c58", "input": "Problem: a number when divided by 221 gives a remainder 43 , what remainder will be obtained by dividing the same number 17 ? \nOptions: a ) 9 , b ) 11 , c ) 15 , d ) 5 , e ) 20", "output": [ "a" ] }, { "id": "task1420-a9a86afd00bf42b7b14e6052e3a53b08", "input": "Problem: the value of ( 34.5 * 0.473 * 1.567 ) / ( 0.0673 * 23.25 * 7.57 ) is close to \nOptions: a ) 2 , b ) 1.15 , c ) 2.05 , d ) 2.16 , e ) 2.35", "output": [ "d" ] }, { "id": "task1420-2f69e5cf6a7547bdbb3ad137858d45af", "input": "Problem: having scored 94 runs in the 19 th inning , a cricketer increases his average score by 4 . what will be his average score after 19 innings ? \nOptions: a ) 28 , b ) 27 , c ) 26 , d ) 22 , e ) 24", "output": [ "d" ] }, { "id": "task1420-a8242a8635d5410b92a772f1086b10d3", "input": "Problem: a basket of 1430 apples is divided equally among a group of apple lovers . if 45 people join the group , each apple lover would receive 9 apples less . how many u apples did each person get before 45 people joined the feast ? \nOptions: a ) 20 . , b ) 21 . , c ) 22 . , d ) 23 . , e ) 24 .", "output": [ "c" ] }, { "id": "task1420-f0ac470701284aacb50c24d1f6057095", "input": "Problem: how many positive integers less than 247 are multiple of 4 but not multiples of 6 ? \nOptions: a ) 20 , b ) 41 , c ) 42 , d ) 53 , e ) 64", "output": [ "b" ] }, { "id": "task1420-9547822a962f4382b95e0d07a71ac2f4", "input": "Problem: when 1 is added to half of one - third of one - fifth of a number , the result is one - fifteenth of the number . find the number ? \nOptions: a ) 30 , b ) 81 , c ) 60 , d ) 27 , e ) 11", "output": [ "a" ] }, { "id": "task1420-d48122ee6e6043048d0de44618d2cbbf", "input": "Problem: lagaan is levied on the 60 percent of the cultivated land . the revenue department collected total rs . 3 , 64,000 through the lagaan from the village of mutter . mutter , a very rich farmer , paid only rs . 480 as lagaan . the percentage of total land of mutter over the total taxable land of the village is : \nOptions: a ) 0.20833 , b ) 0.14544 , c ) 0.21978 , d ) 0.35466 , e ) 0.63435", "output": [ "c" ] }, { "id": "task1420-01c934e460cd4d1e9b0d330dbcaad4d9", "input": "Problem: if x and y are integers such that ( x + 1 ) ^ 2 is less than or equal to 81 and ( y - 1 ) ^ 2 is less than 64 , what is the sum of the maximum possible value of xy and the minimum possible value of xy ? \nOptions: a ) - 16 , b ) - 20 , c ) 0 , d ) 14 , e ) 16", "output": [ "b" ] }, { "id": "task1420-fa1f50c9bff74576b647a74577c84a72", "input": "Problem: students at a school were on average 180 cm tall . the average female height was 170 cm , and the average male height was 186 cms . what was the ratio of men to women ? \nOptions: a ) 5 : 2 , b ) 5 : 1 , c ) 5 : 3 , d ) 4 : 1 , e ) 3 : 1", "output": [ "c" ] }, { "id": "task1420-69baec45c0404bd2b433bf14b7f9c929", "input": "Problem: how many 3 digit positive integers r exist that when divided by 7 leave a remainder of 5 ? \nOptions: a ) 128 , b ) 142 , c ) 143 , d ) 141 , e ) 129", "output": [ "e" ] }, { "id": "task1420-a15c5112eb6c4847a0d02256ac5313d3", "input": "Problem: on a certain day , orangeade was made by mixing a certain amount of orange juice with an equal amount of water . on the next day , orangeade was made by mixing the same amount of orange juice with twice the amount of water . on both days , all the orangeade that was made was sold . if the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $ 0.60 per glass on the first day , what was the price w per glass on the second day ? \nOptions: a ) $ 015 , b ) $ 0.20 , c ) $ 0.30 , d ) $ 0.40 , e ) $ 0.45", "output": [ "d" ] }, { "id": "task1420-68cec841d8cf4654a21935619b1fa564", "input": "Problem: the salary of a , b , c , d , e is rs . 8000 , rs . 5000 , rs . 14000 , rs . 7000 , rs . 9000 per month respectively , then the average salary of a , b , c , d , and e per month is \nOptions: a ) rs . 7000 , b ) rs . 8000 , c ) rs . 8600 , d ) rs . 9000 , e ) none", "output": [ "c" ] }, { "id": "task1420-c2601a2d37c1421cb1f315ee111cd19e", "input": "Problem: the annual birth and death rate in a country per 1000 are 39.4 and 19.4 respectively . the number of years b in which the population would be doubled assuming there is no emigration or immigration is \nOptions: a ) 20 , b ) 25 , c ) b = 30 , d ) b = 35 , e ) b = 40", "output": [ "d" ] }, { "id": "task1420-97788c4e5b15470e8c7e619af428cd2b", "input": "Problem: a computer is programmed to multiply consecutive even integers 2 * 4 * 6 * 8 * … * n until the product is divisible by 1947 , what is the value of n ? \nOptions: a ) 22 , b ) 38 , c ) 62 , d ) 122 , e ) 118", "output": [ "e" ] }, { "id": "task1420-6c04da8a5bda4904bb0bc26df0dd6d98", "input": "Problem: 12 is 6 % of a , and 6 is 12 % of b . c equals b / a . what is the value of c ? \nOptions: a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 4 , d ) 1 / 6 , e ) 1 / 12", "output": [ "c" ] }, { "id": "task1420-342f99044c4c48309420f6c030588228", "input": "Problem: a girl was asked to multiply a certain number by 43 . she multiplied it by 34 and got his answer less than the correct one by 1233 . find the number to be multiplied . \nOptions: a ) 130 , b ) 132 , c ) 134 , d ) 137 , e ) 138", "output": [ "d" ] }, { "id": "task1420-561da212a31e400383fc6d144614f8c5", "input": "Problem: on the number line , if x is halfway between - 11 and 5 , and if y is halfway between - 3 and 7 , what number is halfway between x and y ? \nOptions: a ) - 1.5 , b ) - 0.5 , c ) 0.5 , d ) 1.5 , e ) 2.5", "output": [ "b" ] }, { "id": "task1420-62bd9715cb244d0ba17048294b123eec", "input": "Problem: what is the remainder when the number w = 14 ^ 2 * 15 ^ 8 is divided by 5 ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 4 , e ) 5", "output": [ "a" ] }, { "id": "task1420-88ccee4decf147f59881174b62e9f47e", "input": "Problem: if a = 105 and a ^ 3 = 21 * 35 * 45 * b , what is the value of b ? \nOptions: a ) 35 , b ) 42 , c ) 45 , d ) 49 , e ) 54", "output": [ "a" ] }, { "id": "task1420-8c92056cecc74cb3892cc097a0dd08b9", "input": "Problem: there are 2 sections a and b in a class , consisting of 60 and 70 students respectively . if the average weight of section a is 60 kg and that of section b is 80 kg , find the average of the whole class ? \nOptions: a ) 50.78 kg , b ) 49.32 kg , c ) 70.76 kg , d ) 69.15 kg , e ) 70.89 kg", "output": [ "c" ] }, { "id": "task1420-a0d6ddfb722242feb82986ec23b81e73", "input": "Problem: 2 , 4 , 6 , 8 , 10 , . . . ? \nOptions: a ) 8 , b ) 5 , c ) 7 , d ) 3 , e ) 12", "output": [ "e" ] }, { "id": "task1420-77acc42a0724428db8ff2b41e9d6763d", "input": "Problem: a grocer has a sale of rs . 4435 , rs . 4927 , rs . 4855 , rs . 5230 and rs . 4562 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 4500 ? \nOptions: a ) 1991 , b ) 2991 , c ) 3991 , d ) 4521 , e ) 5991", "output": [ "b" ] }, { "id": "task1420-5851f495917a4b1fb095d539b3e2d9db", "input": "Problem: in the graduating class of a certain college , 48 percent of the students are male and 52 percent are female . in this class 40 percent of the male and 50 percent of the female students are 25 years old or older . if one student in the class is randomly selected , approximately what is the probability that he or she will be less than 25 years old ? \nOptions: a ) a ) 0.9 , b ) b ) 0.5 , c ) c ) 0.45 , d ) d ) 0.3 , e ) e ) 0.25", "output": [ "b" ] }, { "id": "task1420-f4e9aa83bd1c4d48aca241235cf0dd25", "input": "Problem: what is the least number to be subtracted from 1300 to make it a perfect square ? \nOptions: a ) 80 , b ) 25 , c ) 75 , d ) 63 , e ) 90", "output": [ "c" ] }, { "id": "task1420-52189b0944f94fefae4c845323e9b4a3", "input": "Problem: how many positive integers less than 253 are multiple of 4 but not multiples of 6 ? \nOptions: a ) 20 , b ) 41 , c ) 42 , d ) 53 , e ) 64", "output": [ "b" ] }, { "id": "task1420-b9238f8ce28e44588e3385d893db498b", "input": "Problem: george baked a total of 75 pizzas for 7 straight days , beginning on saturday . he baked 3 / 5 of the pizzas the first day , and 3 / 5 of the remaining pizzas the second day . if each successive day he baked fewer pizzas than the previous day , what is the maximum number of pizzas he could have baked on wednesday ? \nOptions: a ) 5 , b ) 4 , c ) 2 , d ) 6 , e ) 7", "output": [ "c" ] }, { "id": "task1420-3957112ca7f340bf9e9b8bd53a1f8418", "input": "Problem: a certain company retirement plan has arule of 70 provision that allows an employee to retire when the employee ' s age plus years of employment with the company total at least 70 . in what year could a female employee hired in 1986 on her 30 nd birthday first be eligible to retire under this provision ? \nOptions: a ) 2003 , b ) 2004 , c ) 2005 , d ) 2006 , e ) 2007", "output": [ "d" ] }, { "id": "task1420-d0be22d295f94ff2a3ac533df338c840", "input": "Problem: the average salary / head of allthe workers in a workshop is rs . 750 , if the average salary / head of 5 technician is rs . 900 and the average salary / head of the rest is rs . 700 , the total no . of workers in the work - shop is ? \nOptions: a ) 18 , b ) 20 , c ) 22 , d ) 24 , e ) 26", "output": [ "b" ] }, { "id": "task1420-323857e9541f4c26b12969a1071da41b", "input": "Problem: 80 % of 5 / 8 = \nOptions: a ) 0.2 , b ) 0.5 , c ) 0.6 , d ) 0.75 , e ) 1.0", "output": [ "b" ] }, { "id": "task1420-40e9a73e59544432bad2ed4700810508", "input": "Problem: the average weight of a class is x pounds . when a new student weighing 50 pounds joins the class , the average decreases by 1 pound . in a few months the student ’ s weight increases to 110 pounds and the average weight of the class becomes x + 4 pounds . none of the other students ’ weights changed . what is the value of x ? \nOptions: a ) 85 , b ) 86 , c ) 88 , d ) 90 , e ) 92", "output": [ "a" ] }, { "id": "task1420-2944e97b70b847c5b0f009314e0dce45", "input": "Problem: if 5 a + 7 b = m , where a and b are positive integers , what is the largest possible value of m for which exactly one pair of integers ( a , b ) makes the equation true ? \nOptions: a ) 35 , b ) 48 , c ) 69 , d ) 70 , e ) 74", "output": [ "d" ] }, { "id": "task1420-d718e10adb804e729beb283d74c98fad", "input": "Problem: the average of temperatures at noontime from monday to friday is 25 ; the lowest one is 15 , what is the possible maximum range of the temperatures ? \nOptions: a ) 20 , b ) 25 , c ) 50 , d ) 45 , e ) 75", "output": [ "c" ] }, { "id": "task1420-9a375dc6070c43e1a27c5862336c9159", "input": "Problem: a person saved $ 10 in buying an item on sale . if he spent $ 100 for the item , approximately how much percent he saved in the transaction ? \nOptions: a ) 8 % , b ) 10 % , c ) 2 % , d ) 5 % , e ) 6 %", "output": [ "b" ] }, { "id": "task1420-bd80ced7e02c4327868d26dfaa296171", "input": "Problem: what is the sum of the greatest common factor and the lowest common multiple of 16 and 36 ? \nOptions: a ) 148 , b ) 222 , c ) 144 , d ) 157 , e ) 164", "output": [ "a" ] }, { "id": "task1420-3b1aa5ec48cd48e0a6ee878a7b9da7a9", "input": "Problem: the divisor is 21 , the quotient is 14 and the remainder is 7 . what is the dividend ? \nOptions: a ) 201 , b ) 394 , c ) 302 , d ) 301 , e ) 294", "output": [ "d" ] }, { "id": "task1420-3b6967010322461396ca5b5228f2dca2", "input": "Problem: if n is a positive integer and the product of all integers from 1 to n , inclusive , is a multiple of 630 , what is the least possible value of n ? \nOptions: a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 9", "output": [ "c" ] }, { "id": "task1420-a1a85fec8379470ca0f05c90d5cdd0fc", "input": "Problem: - 84 * 29 + 365 = ? \nOptions: a ) 2436 , b ) 2801 , c ) - 2801 , d ) - 2071 , e ) none of these", "output": [ "d" ] }, { "id": "task1420-ab6ba96a117b42feb0c8cc9805d34ade", "input": "Problem: how many integers are divisible by 3 between 10 ! and 10 ! + 40 inclusive ? \nOptions: a ) 6 , b ) 7 , c ) 8 , d ) 13 , e ) 10", "output": [ "d" ] }, { "id": "task1420-2f082144d1b14870a927f498b125dd6d", "input": "Problem: what is the decimal equivalent of ( 1 / 4 ) ^ 2 ? \nOptions: a ) 0.0016 , b ) 0.0625 , c ) 0.16 , d ) 0.25 , e ) 0.5", "output": [ "b" ] }, { "id": "task1420-9307fe662dfa46dc94599ceab428c70e", "input": "Problem: n is a positive integer . when n + 1 is divided by 3 , the remainder is 2 . what is the remainder when n is divided by 3 ? \nOptions: a ) 1 , b ) 5 , c ) 4 , d ) 3 , e ) 2", "output": [ "a" ] }, { "id": "task1420-13085e176c1a4344ac0ce34c738f321c", "input": "Problem: the average salary of 16 people in the shipping department at a certain firm is $ 20,000 . the salary of 5 of the employees is $ 25,000 each and the salary of 4 of the employees is $ 16,000 each . what is the average salary of the remaining employees ? \nOptions: a ) $ 18,714 , b ) $ 18,500 , c ) $ 18,000 , d ) $ 15,850 , e ) $ 12,300", "output": [ "a" ] }, { "id": "task1420-a481c86f78434ed985b65a5cea020a34", "input": "Problem: 2 + 2 + 2 ² + 2 ³ . . . + 2 ^ 10 \nOptions: a ) 2 ^ 9 , b ) 2 ^ 10 , c ) 2 ^ 11 , d ) 2 ^ 35 , e ) 2 ^ 37", "output": [ "c" ] }, { "id": "task1420-824c1a6b713548e581cacdbfc5294a1c", "input": "Problem: if z is a multiple of 9402 , what is the remainder when z ^ 2 is divided by 9 ? \nOptions: a ) 0 , b ) 2 , c ) 4 , d ) 6 , e ) 8", "output": [ "a" ] }, { "id": "task1420-0f1e053c20134c5081a09f82c770464e", "input": "Problem: at the end of the month , a certain ocean desalination plant ’ s reservoir contained 14 million gallons of water . this amount is twice the normal level . if this amount represents 70 % of the reservoir ’ s total capacity , how many million gallons short of total capacity is the normal level ? \nOptions: a ) 2 , b ) 5 , c ) 10 , d ) 12 , e ) 15", "output": [ "c" ] }, { "id": "task1420-fd6ec66e9d5c4cb2b78d8cd84586a5e4", "input": "Problem: 60 persons like apple . 7 like orange and mango dislike apple . 10 like mango and apple and dislike orange . 4 like all . how many people like apple ? \nOptions: a ) 47 , b ) 46 , c ) 54 , d ) 58 , e ) 67", "output": [ "e" ] }, { "id": "task1420-74773dab0da2415c812715bb4cd7f19d", "input": "Problem: how much percentage 80 is of 480 ? \nOptions: a ) 16.5 , b ) 14.33 , c ) 12.5 , d ) 15.8 , e ) 16.66", "output": [ "e" ] }, { "id": "task1420-19b83cdf004c450a88659bf035bfdd46", "input": "Problem: the average age of an adult class is 40 years . 17 new students with an avg age of 32 years join the class . therefore decreasing the average by 4 year . find what was theoriginal strength of class ? \nOptions: a ) 8 , b ) 12 , c ) 15 , d ) 17 , e ) 18", "output": [ "d" ] }, { "id": "task1420-c2f9dc1f995b466991df349e8061b887", "input": "Problem: how many integers v are prime numbers in the range 200 < v < 220 ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "a" ] }, { "id": "task1420-1b32d9fa629742bf8e8bdc82245b9d0f", "input": "Problem: sum of the squares of 3 no . ' s is 62 and the sum of their products taken two at a time is 131 . find the sum ? \nOptions: a ) 20 , b ) 24 , c ) 26 , d ) 18 , e ) 30", "output": [ "d" ] }, { "id": "task1420-9db6d125de754fb989efa74826f8f8e7", "input": "Problem: a special municipal payroll tax charges not tax on a payroll less than $ 250,000 and only 0.1 % on a company ’ s payroll above $ 250,000 . if belfried industries paid $ 200 in this special municipal payroll tax , then they must have had a payroll of \nOptions: a ) $ 450,000 , b ) $ 202,000 , c ) $ 220,000 , d ) $ 400,000 , e ) $ 2 , 200,000", "output": [ "a" ] }, { "id": "task1420-64934bbe5add40119b7d51402143e23c", "input": "Problem: 5 % people of a village in sri lanka died by bombardment , 15 % of the remainder left the village on account of fear . if now the population is reduced to 3294 , how much was it in the beginning ? \nOptions: a ) 2988 , b ) 2776 , c ) 4079 , d ) 2871 , e ) 881", "output": [ "c" ] }, { "id": "task1420-9a23d67fef564cd18b709e49a1fdee9a", "input": "Problem: 160 % of 5 / 8 = \nOptions: a ) 0.2 , b ) 0.5 , c ) 0.6 , d ) 0.75 , e ) 1.0", "output": [ "e" ] }, { "id": "task1420-a87257123d3d47cf81e96fecfca496f8", "input": "Problem: free notebooks were distributed in a class among all the students . each student got notebooks which were 1 / 8 th of the number of student . if number of student been half , then each child would have received 16 notebooks in total . find the total number of books distributed among students ? \nOptions: a ) 430 , b ) 450 , c ) 460 , d ) 480 , e ) 512", "output": [ "e" ] }, { "id": "task1420-6853c1f9cf6842afb4405b8bb639918b", "input": "Problem: when positive integer x is divided by 7 , the quotient is y and the remainder is 3 . when 2 x is divided by 6 , the quotient is 3 y and the remainder is 2 . what is the value of 11 y – x ? \nOptions: a ) 4 , b ) 3 , c ) 2 , d ) 1 , e ) 0", "output": [ "d" ] }, { "id": "task1420-161ad21475f9486c83e8e85ac034a15c", "input": "Problem: if 4 : 6 : : x : 36 , then find the value of x \nOptions: a ) 24 , b ) 22 , c ) 28 , d ) 30 , e ) 18", "output": [ "a" ] }, { "id": "task1420-1f48f49024ca4e829642bc4f96976ddf", "input": "Problem: the average of 45 results is 10 . the average of first 22 of them is 15 and that of last 22 is 20 . find the 23 result ? \nOptions: a ) 600 , b ) 480 , c ) 750 , d ) 650 , e ) 560", "output": [ "e" ] }, { "id": "task1420-26dbc165d1b342c99bb0921460d239b5", "input": "Problem: the average weight of 8 person ' s increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg . what might be the weight of the new person ? \nOptions: a ) 76 , b ) 76.5 , c ) 85 , d ) 80 , e ) none of these", "output": [ "c" ] }, { "id": "task1420-c629207b8616434d9c2ebd833455b354", "input": "Problem: the proportion of water to alcohol in solution a is 4 : 1 and the proportion of water to alcohol in solution b is 2 : 3 . if an equal amount of each solution is mixed together , what is the concentration of alcohol in the new solution ? \nOptions: a ) 39 % , b ) 40 % , c ) 41 % , d ) 42 % , e ) 43 %", "output": [ "b" ] }, { "id": "task1420-163e625fe4bb4bcf91944af539d590c1", "input": "Problem: if a - b = 6 and a 2 + b 2 = 48 , find the value of ab . \nOptions: a ) 8 , b ) 10 , c ) 12 , d ) 6 , e ) 19", "output": [ "d" ] }, { "id": "task1420-0de96be97e7947949ecc4e709ef580cb", "input": "Problem: the operation is defined for all integers a and b by the equation ab = ( a - 1 ) ( b - 1 ) . if x 9 = 160 , what is the value of x ? \nOptions: a ) 18 , b ) 15 , c ) 17 , d ) 19 , e ) 21", "output": [ "e" ] }, { "id": "task1420-825f437a79f645e0b4b9cb8f856253a4", "input": "Problem: the smallest number when increased by ` ` 2 ` ` is exactly divisible by 12 , 30 , 48 , 74 and 100 is : \nOptions: a ) 14439 , b ) 44398 , c ) 44400 , d ) 44402 , e ) 15005", "output": [ "b" ] }, { "id": "task1420-2a426f2ef20048a0926dbcbb51a04780", "input": "Problem: 5 men are equal to as many women as are equal to 7 boys . all of them earn rs . 90 only . men ’ s wages are ? \nOptions: a ) 8 rs . , b ) 7 rs . , c ) 6 rs . , d ) 4 rs . , e ) 5 rs .", "output": [ "c" ] }, { "id": "task1420-be70923777d54761967cd7c5496637ff", "input": "Problem: in a school with 5 classes , each class has 2 students less than the previous class . how many students are there in the largest class if the total number of students at school is 115 ? \nOptions: a ) 25 , b ) 26 , c ) 27 , d ) 28 , e ) 29", "output": [ "c" ] }, { "id": "task1420-8551d1d078d34739afe2a9639407a8d3", "input": "Problem: if 525 / 999 = 0.525 , what is the 81 st digit to the right of the decimal point in the decimal equivalent of the fraction ? \nOptions: a ) - 1 , b ) 0 , c ) 3 , d ) 4 , e ) 5", "output": [ "e" ] }, { "id": "task1420-c2c9c3d67ff246e6b6e045d8a75c13f6", "input": "Problem: what is the sum of the multiples of 4 between 53 and 145 inclusive ? \nOptions: a ) 2000 , b ) 2200 , c ) 2300 , d ) 2450 , e ) 2500", "output": [ "c" ] }, { "id": "task1420-d749058437ae4e728fa9b761d1b13562", "input": "Problem: mixture a is 10 percent alcohol , and mixture b is 40 percent alcohol . if the two are poured together to create a 4 - gallon mixture that contains 20 percent alcohol , approximately how many gallons of mixture a are in the mixture ? \nOptions: a ) 1.6 , b ) 1.7 , c ) 1.8 , d ) 1.9 , e ) 2.0", "output": [ "a" ] }, { "id": "task1420-290736a2e2dc46aa828ded040046b430", "input": "Problem: line m lies in the xy - plane . the y - intercept of line m is - 2 , and line m passes through the midpoint of the line segment whose endpoints are ( 2 , 8 ) and ( 6 , - 4 ) . what is the slope of line m ? \nOptions: a ) - 3 , b ) - 1 , c ) - 1 / 3 , d ) 0 , e ) 1", "output": [ "e" ] }, { "id": "task1420-248bef0a27af4601868f79702f1f5542", "input": "Problem: of 30 applicants for a job , 16 had at least 4 years ' experience , 21 had degrees , and 5 had less than 4 years ' experience and did not have a degree . how many of the applicants had at least 4 years ' experience and a degree ? \nOptions: a ) 12 , b ) 10 , c ) 9 , d ) 7 , e ) 5", "output": [ "a" ] }, { "id": "task1420-9e747f703e414b60943a1c2948ec8c94", "input": "Problem: one - sixth of the light switches produced by a certain factory are defective . 4 - fifths of the defective switches are rejected and 1 / 15 of the non defective switches are rejected by mistake . if all the switches not rejected are sold , what percent of the switches sold by the factory are defective ? \nOptions: a ) 1.8 % , b ) 2.9 % , c ) 4.1 % , d ) 5.6 % , e ) 6.4 %", "output": [ "c" ] }, { "id": "task1420-c379c0901fe74301a7aa79e9c9a4329e", "input": "Problem: a batsman in his 12 th innings makes a score of 92 and thereby increases his average by 2 runs . what is his average after the 12 th innings if he had never been ‘ not out ’ ? \nOptions: a ) 42 , b ) 43 , c ) 70 , d ) 45 , e ) 46", "output": [ "c" ] }, { "id": "task1420-5620cf0c07044bd38febaa40bdb97df9", "input": "Problem: the guests at a football banquet consumed a total of 406 pounds of food . if no individual guest consumed more than 2.5 pounds of food , what is the minimum number of guests that could have attended the banquet ? \nOptions: a ) 160 , b ) 161 , c ) 162 , d ) 163 , e ) 164", "output": [ "d" ] }, { "id": "task1420-940316a674bb493d9701748feb5cc6c6", "input": "Problem: 850 - ( 1500 ÷ ? ) × 8 / 15 = 770 \nOptions: a ) a ) 31 , b ) b ) 10 , c ) c ) 15 , d ) d ) 26 , e ) e ) 17", "output": [ "b" ] }, { "id": "task1420-e54ea43724ea4fcdb1a6ee7b302d2215", "input": "Problem: ( 132 ) ^ 7 × ( 132 ) ^ ? = ( 132 ) ^ 11.5 . \nOptions: a ) 4.5 , b ) 3 , c ) 4 , d ) 3.5 , e ) 8.5", "output": [ "a" ] }, { "id": "task1420-4d614b310d7e43859ba5964fd0ef8cb5", "input": "Problem: is two years older than b who is twice as old as c . if the total of the ages of a , b and c be 42 , then how old is b ? \nOptions: a ) 16 , b ) 8 , c ) 9 , d ) 10 , e ) 11", "output": [ "a" ] }, { "id": "task1420-8e40784d078e4e74bdf54d079aa9adc3", "input": "Problem: 115 liters of a mixture of milk and water contains in the ratio 3 : 2 . how much water should now be added so that the ratio of milk and water becomes 3 : 4 ? \nOptions: a ) 12 liters , b ) 32 liters , c ) 46 liters , d ) 50 liters , e ) 34 liters", "output": [ "c" ] }, { "id": "task1420-a378b51417aa4723a468d0227572869f", "input": "Problem: in a bus left side are 15 seats available , 3 few seats in right side because in rear exit door . each seat hold 3 people . in addition , there is a seat back can sit 9 people all together . how many people can sit in a bus ? \nOptions: a ) 52 , b ) 49 , c ) 95 , d ) 90 , e ) 66", "output": [ "d" ] }, { "id": "task1420-bed94ea4ce70465d829e9a60647c392c", "input": "Problem: in a group of ducks and cows , the total number of legs are 32 more than twice the no . of heads . find the total no . of buffaloes . \nOptions: a ) 11 , b ) 12 , c ) 14 , d ) 16 , e ) 18", "output": [ "d" ] }, { "id": "task1420-19f856019ad64c9a9d6338c8aca541d9", "input": "Problem: nina has exactly enough money to purchase 6 widgets . if the cost of each widget were reduced by $ 1.15 , then nina would have exactly enough money to purchase 8 widgets . how much money does nina have ? \nOptions: a ) $ 22 , b ) $ 27.6 , c ) $ 30 , d ) $ 36 , e ) $ 40", "output": [ "b" ] }, { "id": "task1420-d77e57db2e0f45f2a605dac62358ac46", "input": "Problem: a vending machine randomly dispenses 4 different types of fruit candy . there are twice as many apple candies as orange candies , twice as many strawberry candies as grape candies , and twice as many apple candies as strawberry candies . if each candy cost $ 0.1 , and there are exactly 90 candies , what is the minimum amount of money required to guarantee that you would buy at least 3 of each type of candy ? \nOptions: a ) $ 8.30 , b ) $ 20.75 , c ) $ 22.50 , d ) $ 42.75 , e ) $ 45.00", "output": [ "a" ] }, { "id": "task1420-afb663dd88234374b43d93ac44bfb441", "input": "Problem: niharika covers a distance in 30 min , if she drives at a speed of 60 km / h on an average . find the speed at which she must drive at to reduce the time of the journey by 30 % . \nOptions: a ) 84.71 kmph . , b ) 85.74 kmph . , c ) 83.71 kmph . , d ) 85.71 kmph . , e ) 84.71 kmph .", "output": [ "d" ] }, { "id": "task1420-b72c95202b894d7db012faae8f9528e4", "input": "Problem: in bangalore there is a well known science institute . during a visit i asked two of the men to tell me their ages . one replied , ' one of our ages subtracted from the other ' s equal 30 . ' then the other man spoke . ' our ages multiplied together equal 1624 . ' what were their ages ? \nOptions: a ) 60 and 23 , b ) 66 and 25 , c ) 29 and 56 , d ) 71 and 43 , e ) 58 and 28", "output": [ "e" ] }, { "id": "task1420-b32644e01f0f4a49a390b7d92bf3c29e", "input": "Problem: if 2 ^ 4 , 3 ^ 3 , and 13 ^ 3 are factors of the product of 1452 and w , where w is a positive integer , what is the smallest possible value of w ? \nOptions: a ) 198 , b ) 288 , c ) 363 , d ) 396 , e ) 468", "output": [ "e" ] }, { "id": "task1420-3b91f5022cd247dfa21b7a0c41ad6efc", "input": "Problem: a high school has 400 students 1 / 2 attend the arithmetic club , 5 / 8 attend the biology club and 3 / 4 attend the chemistry club . 3 / 8 attend all 3 clubs . if every student attends at least one club how many students attend exactly 2 clubs . \nOptions: a ) 35 , b ) 45 , c ) 55 , d ) 60 , e ) 50", "output": [ "e" ] }, { "id": "task1420-635f36d45a214b748191d9e13334ffff", "input": "Problem: xavier , yvonne , and zelda each try independently to solve a problem . if their individual probabilities for success are 1 / 4 , 1 / 3 and 5 / 8 , respectively , what is the probability that xavier and yvonne , but not zelda , will solve the problem ? \nOptions: a ) 1 / 32 , b ) 7 / 8 , c ) 9 / 64 , d ) 5 / 64 , e ) 3 / 64", "output": [ "a" ] }, { "id": "task1420-528d0beba89641949ad1365c1b47dfb5", "input": "Problem: if henry were to add 9 gallons of water to a tank that is already 3 / 4 full of water , the tank would be 7 / 8 full . how many gallons of water would the tank hold if it were full ? \nOptions: a ) 25 , b ) 40 , c ) 64 , d ) 72 , e ) 96", "output": [ "d" ] }, { "id": "task1420-4f9760ac8b71460ea5172b70d3e98b1e", "input": "Problem: in a certain game of dice , the player ’ s score is determined as a sum of two throws of a single die . the player with the highest score wins the round . if more than one player has the highest score , the winnings of the round are divided equally among these players . if jim plays this game against 21 other players , what is the probability of the minimum score that will guarantee jim some monetary payoff ? \nOptions: a ) 41 / 50 , b ) 1 / 221 , c ) 1 / 216 , d ) 1 / 36 , e ) 1 / 42", "output": [ "d" ] }, { "id": "task1420-75a381e5a2764daf9bec1dc33f4ed5a6", "input": "Problem: if x is 11 percent greater than 80 , then x = \nOptions: a ) 88.8 , b ) 91.0 , c ) 88.0 , d ) 70.9 , e ) 71.2", "output": [ "a" ] }, { "id": "task1420-a38422d7c30c4d0a8b04505a2388e3ea", "input": "Problem: denominator of a number is 4 less than the numerator . if 6 is added to the numerator , it becomes 3 times the denominator . find the denominator . \nOptions: a ) 1 , b ) 3 , c ) 5 , d ) 7 , e ) 9", "output": [ "c" ] }, { "id": "task1420-90e41ae626f54f1abe22477948146387", "input": "Problem: find the average of first 4 multiples of 11 ? \nOptions: a ) 10 , b ) 12.6 , c ) 27.5 , d ) 31.3 , e ) 40.8", "output": [ "c" ] }, { "id": "task1420-e93e1453d1e84fb49ddcb1302b771c75", "input": "Problem: the product of two numbers is 120 and the sum of their squares is 289 . the sum of the number is : \nOptions: a ) 23 , b ) 20 , c ) 12 , d ) 128 , e ) 171", "output": [ "a" ] }, { "id": "task1420-951d05791fea4ed38fc59488fa3c16f1", "input": "Problem: on the richter scale , which measures the total amount of energy released during an earthquake , a reading of x - 1 indicates one - tenth the released energy as is indicated by a reading of x . on that scale , the frequency corresponding to a reading of 2 is how many times as great as the frequency corresponding to a reading of 8 ? \nOptions: a ) 40 , b ) 50 , c ) 10 ^ 4 , d ) 10 ^ 5 , e ) 10 ^ 6", "output": [ "e" ] }, { "id": "task1420-bb2b42e2e8924c2bbb8c49204764272d", "input": "Problem: total number of boys and girls in a school is 150 . if the number of boys is x , then girls become x % of the total number of students . the number of boys is \nOptions: a ) 50 , b ) 60 , c ) 70 , d ) 80 , e ) 90", "output": [ "b" ] }, { "id": "task1420-a691700ede624b2f964206459845559e", "input": "Problem: 5.005 / 2.002 = \nOptions: a ) 2.05 , b ) 2.50025 , c ) 2.501 , d ) 2.5025 , e ) 2.5", "output": [ "e" ] }, { "id": "task1420-3decede0ebea4a49ab770f699a7d0f5e", "input": "Problem: a is an integer greater than 19 but less than 32 , b is an integer greater than 29 but less than 42 , what is the range of a / b ? \nOptions: a ) 1 / 4 , b ) 1 / 2 , c ) 3 / 4 , d ) 1 , e ) 5 / 4", "output": [ "b" ] }, { "id": "task1420-3fe5b0661aef4383921bcc18d071add3", "input": "Problem: the ratio of ducks and frogs in a pond is 31 : 39 respectively . the average number of ducks and frogs in the pond is 152 . what is the number of frogs in the pond ? \nOptions: a ) 148 , b ) 152 , c ) 156 , d ) 169 , e ) none", "output": [ "d" ] }, { "id": "task1420-11b1bab90f9e4ec1947a52f182d2ec3b", "input": "Problem: on the richter scale , which measures the total amount of energy released during an earthquake , a reading of x - 1 indicates one - tenth the released energy as is indicated by a reading of x . on that scale , the frequency corresponding to a reading of 7 is how many times as great as the frequency corresponding to a reading of 5 ? \nOptions: a ) 10 ^ 2 , b ) 10 ^ 3 , c ) 10 ^ 4 , d ) 10 ^ 5 , e ) 10 ^ 6", "output": [ "a" ] }, { "id": "task1420-ffad52d8a3894d38ac75bbfd30292053", "input": "Problem: what is the greatest prime factor of 3 ^ 8 - 1 ? \nOptions: a ) 29 , b ) 31 , c ) 37 , d ) 41 , e ) 43", "output": [ "d" ] }, { "id": "task1420-0b928956f5c4468fb05a6bfc9af4adb0", "input": "Problem: the denominator of a fraction is 6 greater than the numerator . if the numerator and the denominator are increased by 1 , the resulting fraction is equal to 4 ⠁ „ 5 . what is the value of the original fraction ? \nOptions: a ) 17 / 23 , b ) 23 / 29 , c ) 29 / 35 , d ) 31 / 37 , e ) 33 / 39", "output": [ "b" ] }, { "id": "task1420-65d7ec7208df4bfaa7652b6a9c910d17", "input": "Problem: if x and y are integers , what is the least positive number of 24 x + 18 y ? \nOptions: a ) 3 , b ) 6 , c ) 9 , d ) 12 , e ) 15", "output": [ "b" ] }, { "id": "task1420-e36996e8b4de45c9b3cf6b30010efc2b", "input": "Problem: 450.271 + 369.422 ÷ 0.03 - 108.612 x 2.001 = ? \nOptions: a ) 12980 , b ) 12532 , c ) 12610 , d ) 12430 , e ) 12560", "output": [ "b" ] }, { "id": "task1420-038d88f48a9d468d90396d76c4bb02ba", "input": "Problem: define a * by the equation a * = π - x . then ( ( − π ) * ) * = \nOptions: a ) − 2 π , b ) - 1 , c ) − π , d ) 2 π , e ) 4 π", "output": [ "c" ] }, { "id": "task1420-8fdd286f701247d1a7ee15d2b9fdb3be", "input": "Problem: if ( 1 / 5 ) ^ m * ( 1 / 2 ) ^ 5 = 1 / ( ( 10 ) ^ 5 ) , then m = \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "e" ] }, { "id": "task1420-bc7a9bfb9cef4b2ab0809a93f128d285", "input": "Problem: a jogger running at 9 km / hr along side a railway track is 200 m ahead of the engine of a 200 m long train running at 45 km / hr in the same direction . in how much time will the train pass the jogger ? \nOptions: a ) 89 , b ) 20 , c ) 40 , d ) 88 , e ) 34", "output": [ "c" ] }, { "id": "task1420-e93dcbe71d99408fbcf2af24afe41d1d", "input": "Problem: how many numbers between 100 and 756 are divisible by 2 , 3 , and 7 together ? \nOptions: a ) 112 , b ) 77 , c ) 267 , d ) 16 , e ) 99", "output": [ "d" ] }, { "id": "task1420-7a2fd429127a454793ff899d85e17f7b", "input": "Problem: if m is an integer such that ( - 2 ) ^ 2 m = 2 ^ ( 12 - m ) then m = ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "d" ] }, { "id": "task1420-7233fc9ff0cb430c8aebda557b33ee86", "input": "Problem: a trained covered x km at 40 kmph and another 2 x km at 20 kmph . find the average speed of the train in covering the entire 3 x km . \nOptions: a ) 18 kmph , b ) 17 kmph , c ) 24 kmph , d ) 19 kmph , e ) 12 kmph", "output": [ "c" ] }, { "id": "task1420-46a527b9f69c4c2db4d2add49b35f59b", "input": "Problem: find the mean proportional between 49 & 81 ? \nOptions: a ) 59 , b ) 61 , c ) 63 , d ) 65 , e ) 67", "output": [ "c" ] }, { "id": "task1420-a11b6abfb16940a18a98856cf3dc9a22", "input": "Problem: if x ^ 2 + y ^ 2 = 18 and xy = 3 , then ( x − y ) ^ 2 = \nOptions: a ) 8 , b ) 11 , c ) 14 , d ) 12 , e ) 20", "output": [ "d" ] }, { "id": "task1420-3acb97159a144afaa73170ba3d1d52c6", "input": "Problem: what is the units digit of the expression 14 ^ 7 − 15 ^ 4 ? \nOptions: a ) 0 , b ) 8 , c ) 4 , d ) 6 , e ) 3", "output": [ "b" ] }, { "id": "task1420-95dba1688d5c4ff98f4187ba6560f059", "input": "Problem: there were 35 students in a hostel . due to the admission of 7 new students , he expenses of the mess were increased by rs . 42 per day while the average expenditure per head diminished by rs 1 . what was the original expenditure of the mess ? \nOptions: a ) 125 , b ) 321 , c ) 561 , d ) 852 , e ) 420", "output": [ "e" ] }, { "id": "task1420-1682bd94ba58471ea7f9a96276fb7ed1", "input": "Problem: if 170 ! / 10 ^ n is an integer , what is the largest possible value of n ? \nOptions: a ) 47 , b ) 46 , c ) 41 , d ) 48 , e ) 45", "output": [ "c" ] }, { "id": "task1420-b29bb67ea490476086918094c585ed7d", "input": "Problem: diana took out a charge account at the general store and agreed to pay 6 % simple annual interest . if she charges $ 60 on her account in january , how much will she owe a year later , assuming she does not make any additional charges or payments ? \nOptions: a ) $ 62.40 , b ) $ 62.80 , c ) $ 63.20 , d ) $ 63.60 , e ) $ 64.00", "output": [ "d" ] }, { "id": "task1420-33160565071b4163a952d78f7cb01cb3", "input": "Problem: if the average ( arithmetic mean ) of x + 1 , x + 3 , and x + 5 is 0 , then x = \nOptions: a ) – 4 , b ) – 3 , c ) – 2 , d ) – 1 , e ) 0", "output": [ "b" ] }, { "id": "task1420-8d1e472c764443448975dce5f6ce25dc", "input": "Problem: what least number must be subtracted from 427398 so that remaining no . is divisible by 12 \nOptions: a ) 3 , b ) 5 , c ) 6 , d ) 7 , e ) 8", "output": [ "c" ] }, { "id": "task1420-06fd7f04a57f456f85b068f17b722103", "input": "Problem: what is the 99 th digit after the decimal point in the decimal expansion of 2 / 9 + 3 / 11 ? \nOptions: a ) 1 , b ) 2 , c ) 4 , d ) 7 , e ) 9", "output": [ "c" ] }, { "id": "task1420-e263281464374defbe54681547134b56", "input": "Problem: an amount at compound interest sums to rs . 17640 / - in 2 years and to rs . 22932 / - in 3 years at the same rate of interest . find the rate percentage ? \nOptions: a ) 5 % , b ) 7 % , c ) 9 % , d ) 11 % , e ) 30 %", "output": [ "e" ] }, { "id": "task1420-f8b7c1d70afb4cca85dba46754386513", "input": "Problem: the line y = 5 x / 3 + b goes through the point ( 7 , – 1 ) . what is the value of b ? \nOptions: a ) 3 , b ) – 5 / 3 , c ) – 7 / 5 , d ) 16 / 3 , e ) – 38 / 3", "output": [ "e" ] }, { "id": "task1420-07b10035b44b4b57b86dae53303573af", "input": "Problem: what is the sum of all remainders obtained when the first 100 natural numbers are divided by 8 ? \nOptions: a ) 397 , b ) 401 , c ) 403 , d ) 405 , e ) 399", "output": [ "b" ] }, { "id": "task1420-a903d7eee85d4f7e810cf2dd3ce2229d", "input": "Problem: if the sales tax reduced from 3 1 / 2 % to 3 1 / 3 % , then what difference does it make to a person who purchases an article with market price of rs . 6600 ? \nOptions: a ) 11 , b ) 13 , c ) 14 , d ) 18 , e ) 10", "output": [ "a" ] }, { "id": "task1420-59abbbf758194562b3e92e7431181a5e", "input": "Problem: the average of 6 no . ' s is 3.95 . the average of 2 of them is 3.8 , while the average of theother 2 is 3.85 . what is the average of the remaining 2 no ' s ? \nOptions: a ) 4.2 , b ) 4.4 , c ) 4.6 , d ) 5.6 , e ) 5.7", "output": [ "a" ] }, { "id": "task1420-0f9c19844201404ba6238b1b1f8f55cb", "input": "Problem: 11 friends went to a hotel and decided to pay the bill amount equally . but 10 of them could pay rs . 60 each as a result 11 th has to pay rs . 50 extra than his share . find the amount paid by him . \nOptions: a ) 110 , b ) 111 , c ) 115 , d ) 123 , e ) none", "output": [ "c" ] }, { "id": "task1420-06e11de14f5e455a810e9e98331deae2", "input": "Problem: a teacher grades students ’ tests by subtracting twice the number of incorrect responses from the number of correct responses . if student a answers each of the 100 questions on her test and receives a score of 61 , how many questions did student a answer correctly ? \nOptions: a ) 55 , b ) 60 , c ) 73 , d ) 81 , e ) 87", "output": [ "e" ] }, { "id": "task1420-6f76bbf08a274f5d837a9280a85b8dc5", "input": "Problem: everyone shakes hands with everyone else in a room . total number of handshakes is 120 . number of persons = ? \nOptions: a ) a . 14 , b ) b . 12 , c ) c . 11 , d ) d . 15 , e ) e . 16", "output": [ "e" ] }, { "id": "task1420-4ee777adaa224029a7c780a53630e0c6", "input": "Problem: if 4 x + y + z = 80 , 2 x - y - z = 4003 x + y - z = 20 for integers of x , y and z , find x = ? \nOptions: a ) 10 , b ) 20 , c ) 15 , d ) 26 , e ) 18", "output": [ "b" ] }, { "id": "task1420-be837e51595949c79b2c55b9510103c6", "input": "Problem: what is the smallest positive integer k such that the product of 61347 x k is a perfect square ? \nOptions: a ) 3 , b ) 9 , c ) 15 , d ) 25 , e ) 63", "output": [ "a" ] }, { "id": "task1420-85427d2363f347e187a9cb0f813f4fbe", "input": "Problem: the average salary of all the workers in a workshop is rs . 9000 . the average salary of 6 technicians is rs . 12000 and the average salary of the rest is rs . 6000 . the total number of workers in the workshop is ? \nOptions: a ) a ) 23 , b ) b ) 21 , c ) c ) 52 , d ) d ) 56 , e ) e ) 12", "output": [ "e" ] }, { "id": "task1420-4032cccce85343e589970346af7dd389", "input": "Problem: at a certain paint store forest green is made by mixing 4 parts blue paint with 3 parts yellow paint . verdant green is made by mixing 4 parts yellow paint with 3 parts blue paint . how many liters of yellow paint must be added to 35 liters of forest green to change it to verdant green ? \nOptions: a ) 1 / 3 , b ) 2 / 3 , c ) 4 / 3 , d ) 35 / 3 , e ) 10 / 3", "output": [ "d" ] }, { "id": "task1420-050264d1f86346cc8b3fda7433881975", "input": "Problem: chocolate bars are sold in packages of 4 or 9 only . if mark bought 97 chocolate bars exactly , what could be the number of large packs mark bought ? \nOptions: a ) 3 , b ) 4 , c ) 8 , d ) 9 , e ) 13", "output": [ "d" ] }, { "id": "task1420-3ec3be01bdfa4afcb0ce0776dd56a11e", "input": "Problem: a container holds 4 quarts of diesel and 4 quarts of petrol . how many quarts of water must be added to the container to create a mixture that is 3 parts dieselto 5 parts water by petrol ? \nOptions: a ) 4 / 3 , b ) 5 / 3 , c ) 7 / 3 , d ) 8 / 3 , e ) 10 / 3", "output": [ "d" ] }, { "id": "task1420-c5542e88503a4bffb60a761923980fb3", "input": "Problem: a , b and c have rs . 500 between them , a and c together have rs . 200 and b and c rs . 340 . how much does c have ? \nOptions: a ) 50 , b ) 40 , c ) 267 , d ) 29 , e ) 27", "output": [ "b" ] }, { "id": "task1420-64dc381058a24a15986cf46514d88804", "input": "Problem: the average ( arithmetic mean ) of 7 , 8 , 10 and 11 equals the average of 2 , 9 , 13 , and \nOptions: a ) 7 , b ) 9 , c ) 10 , d ) 12 , e ) 13", "output": [ "d" ] }, { "id": "task1420-c597820a71964eaba8547a13b67ec80b", "input": "Problem: sandy bought 65 books for $ 1480 from one shop and 55 books for $ 920 from another shop . what is the average price that sandy paid per book ? \nOptions: a ) $ 38 , b ) $ 18 , c ) $ 99 , d ) $ 27 , e ) $ 20", "output": [ "e" ] }, { "id": "task1420-aa676dc1e4294ede8bac526a6844a9fb", "input": "Problem: the average weight of a , b , c is 45 kg . the avg wgt of a & b be 40 kg & that of b , c be 43 kg . find the wgt of b . \nOptions: a ) 36 kg , b ) 84 kg , c ) 31 kg , d ) 45 kg , e ) 12 kg", "output": [ "b" ] }, { "id": "task1420-d7f8ef06eafd4616ad9b0617294fce1b", "input": "Problem: how many multiples of 2 are there between 1 and 58 , exclusive ? \nOptions: a ) 21 , b ) 22 , c ) 24 , d ) 26 , e ) 28", "output": [ "e" ] }, { "id": "task1420-47c62d2e77394e5e85ea52ed4233ea35", "input": "Problem: in a group of cows and chickens , the number of legs was 10 more than twice the number of heads . the number of cows was : \nOptions: a ) 5 , b ) 7 , c ) 10 , d ) 12 , e ) 14", "output": [ "a" ] }, { "id": "task1420-716da2a4d8ee4683a372518f1df1af81", "input": "Problem: 1393 x 1393 = ? \nOptions: a ) a ) 1951609 , b ) b ) 1951601 , c ) c ) 1940449 , d ) d ) 1951603 , e ) e ) 1951604", "output": [ "c" ] }, { "id": "task1420-b8724f23d767431d9329627219886a8c", "input": "Problem: if a number p is prime , and 2 p + 5 = q , where q is also prime , then the decimal expansion of 1 / q will produce a decimal with q - 1 digits . if this method produces a decimal with 166 digits , what is the units digit of the product of p and q ? \nOptions: a ) 1 , b ) 3 , c ) 5 , d ) 7 , e ) 9", "output": [ "a" ] }, { "id": "task1420-055cd863c0f14e7e970f74adf7cc54bd", "input": "Problem: alan buys 4 tvs , a 26 inch , a 28 inch , a 30 inch , and a 32 inch , for his new house . each tv costs $ 200 more than the size below it . alan spends a total of $ 4,400 . how much would he have spent if he had bought only the 28 inch and 30 inch tvs ? \nOptions: a ) 850 , b ) 1,100 , c ) 1,700 , d ) 2,200 , e ) 3,400", "output": [ "d" ] }, { "id": "task1420-0707520331704112b4607a993cbcb791", "input": "Problem: for any positive number x , the function [ x ] denotes the greatest integer less than or equal to x . for example , [ 1 ] = 1 , [ 1.367 ] = 1 and [ 1.988 ] = 1 . if k is a positive integer such that k ^ 2 is divisible by 45 and 80 , what is the units digit of k ^ 3 / 4000 ? \nOptions: a ) 0 , b ) 1 , c ) 27 , d ) 54 , e ) can not be determined", "output": [ "a" ] }, { "id": "task1420-dba92f66260b4cffae9db83be11bcf9e", "input": "Problem: elvin ' s monthly telephone bill is the sum of the charge for the calls he made during the month and a fixed monthly charge for internet service . elvin ' s total telephone bill for january was $ 52 and elvin ' s total telephone bill for february was 76 $ . if elvin ' s charge for the calls he made in february was twice the charge for the calls he made in january , what is elvin ' s fixed monthly charge for internet service ? \nOptions: a ) $ 5 , b ) $ 10 , c ) $ 14 , d ) $ 28 , e ) $ 29", "output": [ "d" ] }, { "id": "task1420-c259c9dd9f9f49d585da7c0a300488a0", "input": "Problem: find the value of 3.5 x [ ( 3.6 x 0.48 x 2.50 ) / ( 0.12 x 0.09 x 0.5 ) ] \nOptions: a ) 800 , b ) 500 , c ) 2800 , d ) 1600 , e ) none", "output": [ "c" ] }, { "id": "task1420-29a6bd739525429e9d5ff694968a73ac", "input": "Problem: the tax on a commodity is diminished by 10 % and its consumption increases by 10 % . find the effects on revenue ? \nOptions: a ) 1 % decrease , b ) 2 % increase , c ) 3 % decrease , d ) 4 % decrease , e ) none of these", "output": [ "a" ] }, { "id": "task1420-a18503649cb7459fa3224e72139abde2", "input": "Problem: when 1 / 10 percent of 7,000 is subtracted from 1 / 10 of 7,000 , the difference is \nOptions: a ) 0 , b ) 50 , c ) 450 , d ) 693 , e ) 500", "output": [ "d" ] }, { "id": "task1420-b9fd409a42c6435d9a4b8ed96408d01f", "input": "Problem: in a company of 12 employees , 5 employees earn $ 36000 , 4 employees earn $ 45000 , and the 3 highest - paid employees earn the same amount . if the average annual salary for the 12 employees is $ 47500 , what is the annual salary for each of the highest - paid employees ? \nOptions: a ) $ 60,000 , b ) $ 65,000 , c ) $ 70,000 , d ) $ 75,000 , e ) $ 80,000", "output": [ "c" ] }, { "id": "task1420-27f107598cfb42d3b4ace611076e03b6", "input": "Problem: an angry arjun carried some arrows for fighting with bheeshm . with half the arrows , he cut down the arrows thrown by bheeshm on him and with 6 other arrows he killed the chariot driver of bheeshm . with one arrow each he knocked down respectively the chariot , the flag and the bow of bheeshm . finally , with one more than 4 times the square root of arrows he laid bheeshm unconscious on an arrow bed . find the total number of arrows arjun had . \nOptions: a ) 90 , b ) 100 , c ) 110 , d ) 120 , e ) 130", "output": [ "b" ] }, { "id": "task1420-75879e8100124b489167e98ce175a908", "input": "Problem: in a competitive examination in a state a , 6 % candidates got selected from the total appeared candidates . state b had an equal number of candidates appeared and 7 % candidates got selected with 80 more candidates got selected than a . what was the number of candidates appeared from each state ? \nOptions: a ) 8000 , b ) 7540 , c ) 6500 , d ) 9100 , e ) 6000", "output": [ "a" ] }, { "id": "task1420-8b251c6faa07476686d27578cc167d32", "input": "Problem: if x : y = 2 : 9 , find the value of ( 2 x + 2 y ) : ( 5 x – y ) \nOptions: a ) 22 : 1 , b ) 22 : 3 , c ) 7 : 1 , d ) 5 : 3 , e ) 8 : 1", "output": [ "a" ] }, { "id": "task1420-2927cf4019ad40c9bbdb70ba7f162c99", "input": "Problem: x and y are positive integers . when x is divided by 9 , the remainder is 2 , and when x is divided by 7 , the remainder is 4 . when y is divided by 11 , the remainder is 3 , and when y is divided by 13 , the remainder is 12 . what is the least possible value of y - x ? \nOptions: a ) 12 , b ) 13 , c ) 14 , d ) 15 , e ) 16", "output": [ "c" ] }, { "id": "task1420-88152e36e0814173a62a6c83a1feae0e", "input": "Problem: if doubling a number and adding 20 to the result gives the same answer as multiplying the number by 8 and taking away 4 from the product , the number is \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 6 , e ) 7", "output": [ "c" ] }, { "id": "task1420-69cf09a8a133470bb829c7fb75868579", "input": "Problem: if x is 20 percent greater than 98 , then x = \nOptions: a ) 68 , b ) 70.4 , c ) 86 , d ) 105.6 , e ) 117.6", "output": [ "e" ] }, { "id": "task1420-a8ca42fcb99f46908eed57a3b93e1408", "input": "Problem: what is the unit ’ s digit of 7 ^ 7 \nOptions: a ) 9 , b ) 5 , c ) 3 , d ) 7 , e ) 1", "output": [ "c" ] }, { "id": "task1420-7780ae99e42e480cb9c3b76512b6a4a6", "input": "Problem: we have boxes colored either red or blue . in each blue box there is a fixed number of blueberries . in each red box there is a fixed number of strawberries . if we dispose of one blue box for one additional red box , the total number of berries would increase by 10 , and the difference between the total number of strawberries and the total number of blueberries would increase by 50 . each blue box contains how many blueberries ? \nOptions: a ) 10 , b ) 15 , c ) 20 , d ) 25 , e ) 30", "output": [ "c" ] }, { "id": "task1420-3a97d6a5bb95455ea1a26d7e3befa758", "input": "Problem: a theater charges $ 12 for seats in the orchestra and $ 8 for seats in the balcony . on a certain night , a total of 355 tickets were sold for a total cost of $ 3,320 . how many more tickets were sold that night for seats in the balcony than for seats in the orchestra ? \nOptions: a ) 90 , b ) 115 , c ) 120 , d ) 130 , e ) 220", "output": [ "b" ] }, { "id": "task1420-f5ac5c10b92c46fa8bd0d080c7561f4f", "input": "Problem: the price of a cycle is reduced by 25 per cent . the new price is reduced by a further 70 per cent . the two reductions together are equal to a single reduction of \nOptions: a ) 45 % , b ) 40 % , c ) 35 % , d ) 77.5 % , e ) 30 %", "output": [ "d" ] }, { "id": "task1420-8e213c89add74f0faab42478859743d9", "input": "Problem: each machine of type a has 2 steel parts and 2 chrome parts . each machine of type b has 6 steel parts and 5 chrome parts . if a certain group of type a and type b machines has a total of 20 steel parts and 22 chrome parts , how many machines are in the group \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 6 , e ) 7", "output": [ "e" ] }, { "id": "task1420-a6f7e3916eab4be9867167dfaf63936a", "input": "Problem: what is the minimum percentage increase in the mean of set f { - 4 , - 1 , 0 , 6 , 9 } if its two smallest elements are replaced with two different primes ? \nOptions: a ) 25 % , b ) 50 % , c ) 75 % , d ) 100 % , e ) 200 %", "output": [ "d" ] }, { "id": "task1420-c8e1e2cae32543fd8b6552baae0036dd", "input": "Problem: find the quotient : 0.63 / 9 \nOptions: a ) 0.5 , b ) 0.3 , c ) 0.9 , d ) 0.1 , e ) 0.7", "output": [ "e" ] }, { "id": "task1420-1805ef905a424234b6ad83ddc7c7a0c3", "input": "Problem: a cricket player whose bowling average was 24.85 runs per wicket , takes 5 wicket for 52 runs in a match . due to this his average decreases by 0.85 . what will be the number of wickets taken by him till the last match ? \nOptions: a ) 64 , b ) 72 , c ) 85 , d ) 96 , e ) 108", "output": [ "c" ] }, { "id": "task1420-24b7196d442541499f03de4259131d9f", "input": "Problem: a certain experimental mathematics program was tried out in 2 classes in each of 34 elementary schools and involved 40 teachers . each of the classes had 1 teacher and each of the teachers taught at least 1 , but not more than 3 , of the classes . if the number of teachers who taught 3 classes is n , then the least and greatest possible values of n , respectively , are \nOptions: a ) 0 and 13 , b ) 0 and 14 , c ) 1 and 10 , d ) 1 and 9 , e ) 2 and 8", "output": [ "b" ] }, { "id": "task1420-de73ab08bd2f4e15884839e40505a497", "input": "Problem: find the sum of all 2 digit numbers divisible by 3 . \nOptions: a ) 1565 , b ) 1665 , c ) 1300 , d ) 1448 , e ) 1465", "output": [ "b" ] }, { "id": "task1420-f086cef737e2439187be467e7efaf017", "input": "Problem: if i equals the sum of the even integers from 2 to 224 , inclusive , and k equals the sum of the even integers from 8 to 80 , inclusive , what is the value of i - k ? \nOptions: a ) 11028 , b ) 14172 , c ) 14284 , d ) 14015 , e ) 14397", "output": [ "a" ] }, { "id": "task1420-0db62c925d794455829a4534689a54a8", "input": "Problem: there are , in a certain league , 20 teams , and each team face another team for a total of 10 times . how many games are played in the season ? \nOptions: a ) 1900 , b ) 3600 , c ) 2400 , d ) 180 , e ) 5400", "output": [ "a" ] }, { "id": "task1420-dff5a5732bfe4c7eacf003849c5273f4", "input": "Problem: a student appeared in the mock cat . the test paper contained 3 sections namely qa , di and va . the percentage marks in all va was equal to the average of percentage marks in all the 3 sections . coincidentally , if we reverse the digit of the percentage marks of qa we get the percentage marks of di . the percentage marks in va scored by student could be : \nOptions: a ) 81 , b ) 48 , c ) 66 , d ) 69 , e ) none of these", "output": [ "c" ] }, { "id": "task1420-b95748e7124d48ea8e9863b05c80b56a", "input": "Problem: if n divided by 7 has a remainder of 1 , what is the remainder when 3 times n is divided by 7 ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 5 , e ) 6", "output": [ "c" ] }, { "id": "task1420-959894b8685c4292bfbedf401d45f877", "input": "Problem: if x / 2 = y / 5 = z / 6 , then ( x + y + z ) / x is equal to : \nOptions: a ) 13 , b ) 12 , c ) 15 / 2 , d ) 13 / 2 , e ) none of these", "output": [ "d" ] }, { "id": "task1420-6d877cbff3884a399876c8a994bd53ac", "input": "Problem: calculate the standard deviation of each data set { 10 , 1010 , 1010 } \nOptions: a ) 8.05 , b ) 9 , c ) 10 , d ) 15 , e ) 15.5", "output": [ "a" ] }, { "id": "task1420-c44d3aaf0113417bb4125240fd7016bf", "input": "Problem: the sum of the present ages of two persons a and b is 45 . if the age of a is twice that of b , find the sum of their ages 5 years hence ? \nOptions: a ) 55 , b ) 60 , c ) 70 , d ) 80 , e ) 90", "output": [ "a" ] }, { "id": "task1420-9971f29553214b7b98dfda258bfc3292", "input": "Problem: find the smallest number of four digits exactly divisible by 4 , 5,7 and 8 . \nOptions: a ) 1150 , b ) 1160 , c ) 1140 , d ) 1152 , e ) 1145", "output": [ "b" ] }, { "id": "task1420-69eb0e6d28d4424eac839ecab80b5b8a", "input": "Problem: the average of 1 st 3 of 4 numbers is 16 and of the last 3 are 15 . if the sum of the first and the last number is 19 . what is the last numbers ? \nOptions: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 7", "output": [ "d" ] }, { "id": "task1420-76defa9d0a3043df94898b5fe99a3c4b", "input": "Problem: the median annual household income in a certain community of 21 households is $ 50000 . if the mean r income of a household increases by 10 % per year over the next 2 years , what will the median income in the community be in 2 years ? \nOptions: a ) $ 50000 , b ) $ 60000 , c ) $ 60500 , d ) $ 65000 , e ) can not be determined", "output": [ "e" ] }, { "id": "task1420-75f200e3e34a428580c14cd7f8111f12", "input": "Problem: a certain no . when divided by 20 leaves a remainder 25 , what is the remainder if the same no . be divided by 15 ? \nOptions: a ) 3 , b ) 4 , c ) 6 , d ) 8 , e ) 9", "output": [ "a" ] }, { "id": "task1420-1e78ad62df354d8e86e9ed4e94a09000", "input": "Problem: q ' = 3 q - 3 , what is the value of ( 7 ' ) ' ? \nOptions: a ) 6 , b ) 106 , c ) 206 , d ) 306 , e ) 406", "output": [ "d" ] }, { "id": "task1420-4d8b8f40edff4b81a71d874b9e012a9e", "input": "Problem: the ages of two person , differ by 20 years . if 5 years ag , the elder one be 5 times as old as the younger one their present ages ( in years ) are respectively \nOptions: a ) 30 , 10 , b ) 2010 , c ) 3515 , d ) 5117 , e ) 20,17", "output": [ "a" ] }, { "id": "task1420-27e9acc1e11a4938b1721ccba9820237", "input": "Problem: of the final grades received by the students in a certain math course , 1 / 5 are a ' s , 1 / 4 are b ' s , 1 / 2 are c ' s , and the remaining 30 grades are d ' s . what is the number of students in the course ? \nOptions: a ) 80 , b ) 110 , c ) 160 , d ) 600 , e ) 400", "output": [ "d" ] }, { "id": "task1420-90e4d19a1da2470ab4af93cdf4233f6d", "input": "Problem: a man was asked to state his age in years . his reply was , ` ` take my age 6 years hence , multiply it by 6 and subtract 6 times my age 6 years ago and you will know how old i am . ' ' what was the age of the person ? \nOptions: a ) 18 , b ) 92 , c ) 72 , d ) 26 , e ) 19", "output": [ "c" ] }, { "id": "task1420-855fdd71207c481b84c080bc89013185", "input": "Problem: a 40 gallon solution of salt and water is 10 % salt . how many gallons of water must be added to the solution in order to decrease the salt to 8 % of the volume ? \nOptions: a ) 810 , b ) 12 , c ) 13 , d ) 14 , e ) 16", "output": [ "a" ] }, { "id": "task1420-b87b5b9696614be5b900b255018f9c2c", "input": "Problem: 0.0006688 / 0.0000120 x 17.05 = ? \nOptions: a ) 450.1 , b ) 910.1 , c ) 930.1 , d ) 920.1 , e ) 950.1", "output": [ "e" ] }, { "id": "task1420-b95159b5ba164c66a29131e7ed0f2611", "input": "Problem: if a number p is prime , and 2 p + 3 = q , where q is also prime , then the decimal expansion of 1 / q will produce a decimal with q - 1 digits . if this method produces a decimal with 166 digits , what is the units digit of the product of p and q ? \nOptions: a ) 1 , b ) 3 , c ) 5 , d ) 7 , e ) 9", "output": [ "a" ] }, { "id": "task1420-172c4d11494d499aaf92611885198c3d", "input": "Problem: what is the remainder when 17 ^ 200 is divided by 18 ? \nOptions: a ) 3 , b ) 1 , c ) 2 , d ) 4 , e ) 7", "output": [ "b" ] }, { "id": "task1420-ee6e4ce320f44dad8bf3e867e0307502", "input": "Problem: the sum of present age of abe and the age before 7 years is 27 . find the present age of abe . what will be his age after 7 years ? \nOptions: a ) 25 , b ) 24 , c ) 27 , d ) 28 , e ) 29", "output": [ "b" ] }, { "id": "task1420-58346a90c5364d6b8bb3f53201259f87", "input": "Problem: a vessel of capacity 3 litre has 25 % of alcohol and another vessel of capacity 5 litre had 40 % alcohol . the total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water . what is the new concentration of mixture ? \nOptions: a ) 31 % . , b ) 71 % . , c ) 27.5 % . , d ) 29 % . , e ) 51 % .", "output": [ "c" ] }, { "id": "task1420-6bf2541ce65c46c2a1dcb14146c729d0", "input": "Problem: a salesman ' s income consists of a commission and a base salary of $ 350 per week . over the past 5 weeks , his weekly income totals have been $ 556 , $ 413 , $ 420 , $ 436 and $ 395 . what must his average ( arithmetic mean ) commission be per week over the next two weeks so that his average weekly income is $ 500 over the 7 - week period ? \nOptions: a ) $ 150 , b ) $ 290 , c ) $ 365 , d ) $ 715 , e ) $ 730", "output": [ "b" ] }, { "id": "task1420-59b00dd3fdcb41749d04874921ff376f", "input": "Problem: in the coordinate plane , points ( x , 2 ) and ( 10 , y ) are on line k . if line k passes through the origin and has slope 1 / 2 , then x + y = \nOptions: a ) 4.5 , b ) 7 , c ) 9 , d ) 11 , e ) 12", "output": [ "c" ] }, { "id": "task1420-6fe5b722cab548b0bf66d47793d1f2f5", "input": "Problem: there are 69 people that own pets . 15 people own only dogs , 10 people own only cats , 5 people own only cats and dogs , 3 people own cats , dogs and snakes . how many total snakes are there ? \nOptions: a ) 2 , b ) 4 , c ) 8 , d ) 39 , e ) 32", "output": [ "d" ] }, { "id": "task1420-ab94aacdb9014dcea06c844195b74c81", "input": "Problem: what number is obtained by adding the units digits of 734 ^ 100 and 347 ^ 83 ? \nOptions: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11", "output": [ "c" ] }, { "id": "task1420-eea46bed1ba442189da39003bc79ba62", "input": "Problem: the jogging track in a sports complex is 1000 meters in circumference . deepak and his wife start from the same point and walk in opposite directions at 20 km / hr and 13 km / hr respectively . they will meet for the first time in ? \nOptions: a ) 50 min , b ) 33 min , c ) 35 min , d ) 25 min , e ) 20 min", "output": [ "b" ] }, { "id": "task1420-394decf5191142dcbe582b2c1f1ca720", "input": "Problem: given a + b = 1 , find the value of 2 a + 2 b . two solutions are presented below . only one is correct , even though both yield the correct answer . \nOptions: a ) 3 , b ) 5 , c ) 4 , d ) 2 , e ) 1", "output": [ "d" ] }, { "id": "task1420-5329d6b66ec3471084e9cc9655302694", "input": "Problem: how many integers from 20 to 150 , inclusive , are divisible by 3 but not divisible by 7 ? \nOptions: a ) 37 , b ) 40 , c ) 42 , d ) 45 , e ) 55", "output": [ "a" ] }, { "id": "task1420-e866e7113a28423aaf89419ec17beabb", "input": "Problem: on dividing 17698 by a certain number , we get 89 as quotient and 14 as remainder . what is the divisor ? \nOptions: a ) 199 , b ) 154 , c ) 852 , d ) 741 , e ) 785", "output": [ "a" ] }, { "id": "task1420-5eb7f8ede4174bd8acfca2b6e28f1c5f", "input": "Problem: jane started baby - sitting when she was 18 years old . whenever she baby - sat for a child , that child was no more than half her age at the time . jane is currently 32 years old , and she stopped baby - sitting 12 years ago . what is the current age of the oldest person for whom jane could have baby - sat ? \nOptions: a ) 20 , b ) 21 , c ) 22 , d ) 23 , e ) 24", "output": [ "d" ] }, { "id": "task1420-e87da1e8f7ed4f738555a7c521cbfb90", "input": "Problem: virginia , adrienne , and dennis have taught history for a combined total of 96 years . if virginia has taught for 9 more years than adrienne and for 12 fewer years than dennis , for how many years has dennis taught ? \nOptions: a ) 23 , b ) 32 , c ) 35 , d ) 41 , e ) 42", "output": [ "e" ] }, { "id": "task1420-e1cbbe07a47144bfa860eb289d69184d", "input": "Problem: how many 3 - digit numbers can be formed from the digits 2 , 3 , 5 , 6 , 7 and 9 , which are divisible by 5 and if the repetition is allowed ? \nOptions: a ) 20 , b ) 5 , c ) 10 , d ) 36 , e ) 25", "output": [ "d" ] }, { "id": "task1420-f9d3f4baf9b549d3b218698bc62556cd", "input": "Problem: find out the c . i on rs . 6000 at 4 % p . a . compound half - yearly for 1 1 / 2 years \nOptions: a ) 367.25 , b ) 306.07 , c ) 306.04 , d ) 306.03 , e ) 306.01", "output": [ "a" ] }, { "id": "task1420-c4fd3a9a152f48408f5fc72848781523", "input": "Problem: a store reported total sales of $ 385 million for february of this year . if the total sales for the same month last year was $ 320 million , approximately what was the percent increase in sales ? \nOptions: a ) 2 % , b ) 17 % , c ) 20 % , d ) 65 % , e ) 83 %", "output": [ "c" ] }, { "id": "task1420-7818a7b7babd4c9bb46313279184468f", "input": "Problem: what could be the range of a set consisting of odd multiples of 5 ? \nOptions: a ) 21 , b ) 24 , c ) 35 , d ) 62 , e ) 60", "output": [ "e" ] }, { "id": "task1420-1081e5f8b7b647a28537a62558634de0", "input": "Problem: a man purchased 3 blankets @ rs . 100 each , 4 blankets @ rs . 150 each and two blankets at a certain rate which is now slipped off from his memory . but he remembers that the average price of the blankets was rs . 150 . find the unknown rate of two blankets ? \nOptions: a ) a ) 600 , b ) b ) 350 , c ) c ) 450 , d ) d ) 470 , e ) e ) 500", "output": [ "a" ] }, { "id": "task1420-e6cf470e263c46a0a3ec0e9c4a42f376", "input": "Problem: how many digits 2 ^ 1000 has ? \nOptions: a ) 31 , b ) 35 , c ) 50 , d ) 99 , e ) 310", "output": [ "e" ] }, { "id": "task1420-3c66440ceed24a75950011c3b33c03d8", "input": "Problem: the cricket team of 11 members is 24 yrs old & the wicket keeper is 3 yrs older . if the ages ofthese 2 are excluded , the average age of theremaining players is 1 year less than the average age of the whole team . what is the average age of the team ? \nOptions: a ) 21 , b ) 22 , c ) 23 , d ) 25 , e ) 28", "output": [ "a" ] }, { "id": "task1420-b67dc2cc4f1a4ef482eb14fa122f8e4f", "input": "Problem: 5 men are equal to as many women as are equal to 8 boys . all of them earn rs . 120 only . men â € ™ s wages are ? \nOptions: a ) 6 rs , b ) 2 rs , c ) 4 rs , d ) 9 rs , e ) 8 rs", "output": [ "e" ] }, { "id": "task1420-22aac0d1ef5c4b66bcec93fb1c07821b", "input": "Problem: a parking garage rents parking spaces for $ 12 per week or $ 30 per month . how much does a person save in a year by renting by the month rather than by the week ? \nOptions: a ) $ 140 , b ) $ 160 , c ) $ 220 , d ) $ 240 , e ) $ 264", "output": [ "e" ] }, { "id": "task1420-e66788df54cd42c7b0c865e7b8578189", "input": "Problem: the ratio 6 : 3 expressed as a percent equals \nOptions: a ) 12.5 % , b ) 40 % , c ) 80 % , d ) 200 % , e ) none", "output": [ "d" ] }, { "id": "task1420-f5dbd594b4124838ac43214dcab9444a", "input": "Problem: if 15 students in a class average 75 % on an exam and 10 students average 95 % on the same exam , what is the average in percent for all 25 students ? \nOptions: a ) 81 % , b ) 82 % , c ) 83 % , d ) 84 % , e ) 85 %", "output": [ "c" ] }, { "id": "task1420-da003684c5164e1588bbdec275c69787", "input": "Problem: find the product of the local value and absolute value of 4 in 20468 ? \nOptions: a ) 1000 , b ) 1200 , c ) 1340 , d ) 1450 , e ) 1600", "output": [ "e" ] }, { "id": "task1420-58334c0d8f2e443f873fa46b6ef93fd4", "input": "Problem: a certain mixture of nuts consists of 5 parts almonds to 2 parts walnuts , by weight . what is the number of pounds of almonds in 210 pounds of the mixture ? \nOptions: a ) 150 , b ) 84 , c ) 40 , d ) 28 , e ) 20", "output": [ "a" ] }, { "id": "task1420-1e04d1073dfb45259152860abc52b17c", "input": "Problem: how many positive integers less than 50 are multiples of 6 but not multiples of 8 ? \nOptions: a ) 4 , b ) 6 , c ) 8 , d ) 10 , e ) 12", "output": [ "b" ] }, { "id": "task1420-54e74536c057449da2e752e997360c27", "input": "Problem: tough and tricky questions : word problems . mike , sarah and david decided to club together to buy a present . each of them gave equal amount of money . luckily sarah negotiated a 20 % discount for the present so that each of them paid 4 dollars less . how much did they pay for a present ? \nOptions: a ) 20 , b ) 36 , c ) 48 , d ) 60 , e ) 72", "output": [ "c" ] }, { "id": "task1420-f518b888b25e453eb3824658e892e05d", "input": "Problem: for 2 consecutive yrs , my incomes are in the ratio of 4 : 7 and expenses in the ratio of 3 : 5 . if my income in the 2 nd yr is rs . 42000 & my expenses in the first yr in rs . 23000 , my total savings for the two - year is \nOptions: a ) s . 8000 , b ) s . 9000 , c ) s . 9900 , d ) s . 9990 , e ) s . 10000", "output": [ "a" ] }, { "id": "task1420-42b0ed93486c4a3688409baeab9508a0", "input": "Problem: 3 men and 3 women are lined up in a row . what is the number of cases where they stand with each other in turn ? ( the number of cases in which men ( or women ) do not stand next to each other ) \nOptions: a ) 12 , b ) 15 , c ) 18 , d ) 36 , e ) 24", "output": [ "d" ] }, { "id": "task1420-31172c9ec4554616b00eeae5f04e9d00", "input": "Problem: a couple spent $ 211.20 in total while dining out and paid this amount using a credit card . the $ 211.20 figure included a 20 percent tip which was paid on top of the price which already included a sales tax of 10 percent on top of the price of the food . what was the actual price of the food before tax and tip ? \nOptions: a ) $ 120 , b ) $ 140 , c ) $ 150 , d ) $ 160 , e ) $ 180", "output": [ "d" ] }, { "id": "task1420-c38f7e0e035c4ecebe007c7367b96112", "input": "Problem: a , b , c rent a pasture . if a puts 10 oxen for 7 months , b puts 12 oxen for 5 months and c puts 15 oxen for 3 months for grazing and the rent of the pasture is rs . 175 , then how much amount should c pay as his share of rent ? \nOptions: a ) 23 , b ) 45 , c ) 15 , d ) 28 , e ) 18", "output": [ "b" ] }, { "id": "task1420-99cfd85a5861485aae96fc93d5e5a470", "input": "Problem: the two lines y = x and x = - 4 intersect on the coordinate plane . if z represents the area of the figure formed by the intersecting lines and the x - axis , what is the side length r of a cube whose surface area is equal to 6 z ? \nOptions: a ) r = 16 , b ) r = 8 √ 2 , c ) r = 8 , d ) r = 2 √ 2 , e ) ( √ 2 ) / 3", "output": [ "d" ] }, { "id": "task1420-aef86ab96a49464f8df3c12bf822d5fe", "input": "Problem: the temperature of a certain cup of coffee 15 minutes after it was poured was 120 degrees fahrenheit . if the temperature f of the coffee t minutes after it was poured can be determined by the formula f = 120 * 2 ^ ( - at ) + 60 , where f is in degrees fahrenheit and a is a constant . then the temperature of the coffee 30 minutes after it was poured was how many degrees fahrenheit ? \nOptions: a ) 65 , b ) 75 , c ) 80 , d ) 85 , e ) 90", "output": [ "e" ] }, { "id": "task1420-96b52fd6890f43e8ae461ee58ac74739", "input": "Problem: mr yadav spends 60 % of his monthly salary on consumable items and 50 % of the remaining on clothes and transport . he saves the remaining amount . if his savings at the end of the year were 24624 , how much amount per month would he have spent on clothes and transport ? \nOptions: a ) 4038 , b ) 8076 , c ) 2052 , d ) 4845.6 , e ) none of these", "output": [ "c" ] }, { "id": "task1420-44552c65c61b4529929311b8294c843c", "input": "Problem: there are 408 boys and 192 girls in a school which are to be divided into equal sections of either boys or girls alone . find the total number of sections thus formed . \nOptions: a ) 25 , b ) 32 , c ) 35 , d ) 30 , e ) 45", "output": [ "a" ] }, { "id": "task1420-579b17276ea94536890d66ea933062c4", "input": "Problem: is two years older than b who is twice as old as c . if the total of the ages of a , b and c be 27 , then how old is b ? \nOptions: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11", "output": [ "d" ] }, { "id": "task1420-90a0f6c5758249dc835b4f4843e68c05", "input": "Problem: 3 numbers which are co - prime to each other are such that the product of the first two is 551 and that of the last two is 1073 . the sum of the 3 numbers is : \nOptions: a ) 81 , b ) 82 , c ) 85 , d ) 90 , e ) 95", "output": [ "c" ] }, { "id": "task1420-a52ddf62c5c9461f978ebe47be765c3a", "input": "Problem: the average of first four prime numbers greater than 20 is ? \nOptions: a ) 10 , b ) 20 , c ) 30 , d ) 40 , e ) 50", "output": [ "c" ] }, { "id": "task1420-388a59368b9547e6b8d204ee18592739", "input": "Problem: a couple spent $ 184.80 in total while dining out and paid this amount using a credit card . the $ 184.80 figure included a 20 percent tip which was paid on top of the price which already included a sales tax of 10 percent on top of the price of the food . what was the actual price of the food before tax and tip ? \nOptions: a ) $ 124 , b ) $ 132 , c ) $ 140 , d ) $ 148 , e ) $ 156", "output": [ "c" ] }, { "id": "task1420-e457b8df2d604d1aa306fd1956b275e5", "input": "Problem: in a group of 800 people , 1 / 5 play at least one instrument , 128 play two or more . what is the probability that one student play exactly one instrument ? \nOptions: a ) 2 / 125 , b ) 3 / 125 , c ) c ) 2 / 25 , d ) 3 / 25 , e ) 1 / 25", "output": [ "e" ] }, { "id": "task1420-8b9d03e54e4f429796e703b40e4f149d", "input": "Problem: the average age of 17 students of a class is 17 years . out of these , the average age of 5 students is 14 years and that of the other 9 students is 16 years , the age of the 17 th student is \nOptions: a ) 62 , b ) 66 , c ) 18 , d ) 75 , e ) 12", "output": [ "d" ] }, { "id": "task1420-ccb873cfa0d845dca63a74782d39a391", "input": "Problem: find a positive number which when increased by 17 is equal to 60 times the reciprocal of the number \nOptions: a ) 17 , b ) 15 , c ) 12 , d ) 8 , e ) 3", "output": [ "e" ] }, { "id": "task1420-66a98e7a01894994883db297df8b00a3", "input": "Problem: in 1970 there were 8,902 women stockbrokers in the united states . by 1978 the number had increased to 22,947 . approximately what was the percent increase ? \nOptions: a ) 45 % , b ) 125 % , c ) 145 % , d ) 158 % , e ) 225 %", "output": [ "d" ] }, { "id": "task1420-3cf25883f30e4a9592ec9573fe679152", "input": "Problem: the mean of 40 observations was 100 . it was found later that an observation 50 was wrongly taken as 75 the corrected new mean is \nOptions: a ) 125.8 , b ) 102.8 , c ) 99.375 , d ) 100.52 , e ) 122", "output": [ "c" ] }, { "id": "task1420-89be6d37d03b44da856f9bde572ab19b", "input": "Problem: carina has 85 ounces of coffee divided into 5 - and 10 - ounce packages . if she has 2 more 5 - ounce packages than 10 - ounce packages , how many 10 - ounce packages does she have ? \nOptions: a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 9", "output": [ "a" ] }, { "id": "task1420-dc8da54d89cc44d6b67d3f7ecb3fe4f3", "input": "Problem: if | y + 5 | = 8 , what is the sum of all the possible values of y ? \nOptions: a ) - 14 , b ) - 13 , c ) - 8 , d ) - 12 , e ) - 10", "output": [ "e" ] }, { "id": "task1420-56aeb7c0e9f64165b957b0ad2a01373c", "input": "Problem: a student chose a number , multiplied it by 4 , then subtracted 138 from the result and got 102 . what was the number he chose ? \nOptions: a ) 60 , b ) 120 , c ) 130 , d ) 140 , e ) 150", "output": [ "a" ] }, { "id": "task1420-93b060f4fbcc4739b33e76a8e93cd068", "input": "Problem: 40 liters of a mixture is created by mixing liquid p and liquid q in the ratio 5 : 3 . how many liters of liquid q must be added to make the ratio 5 : 6 ? \nOptions: a ) 5 , b ) 8 , c ) 10 , d ) 12 , e ) 15", "output": [ "e" ] }, { "id": "task1420-1c0754236f90419c8f3d6122a192638d", "input": "Problem: the units digit of ( 35 ) ^ ( 87 ) + ( 93 ) ^ ( 47 ) is : \nOptions: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 0", "output": [ "a" ] }, { "id": "task1420-4b2cc8a9dd8243f48244d0cbcaae2891", "input": "Problem: if a is an integer greater than 9 but less than 26 and b is an integer greater than 14 but less than 31 , what is the range of a / b ? \nOptions: a ) 1 , b ) 1 / 2 , c ) 5 / 6 , d ) 2 / 3 , e ) 4 / 3", "output": [ "e" ] }, { "id": "task1420-6bca01f9e6984092af3becf51290bfd3", "input": "Problem: what least number should be added to 1015 , so that the sum is completely divisible by 25 ? \nOptions: a ) 4 , b ) 3 , c ) 2 , d ) 10 , e ) 5", "output": [ "d" ] }, { "id": "task1420-0128cff37e8840618e788275f8acecdd", "input": "Problem: let n be the greatest number that will divide 1305 , 4665 and 6905 , leaving the same remainder in each case . then sum of the digits in n is : \nOptions: a ) 4 , b ) 5 , c ) 6 , d ) 8 , e ) 10", "output": [ "a" ] }, { "id": "task1420-7c25cfbfb9b54fa89b6c7c84a587ec7e", "input": "Problem: what is remainder of the division ( 1225 * 1227 * 1229 ) / 12 ? \nOptions: a ) 1 , b ) 0 , c ) 3 , d ) 2 , e ) 4", "output": [ "c" ] }, { "id": "task1420-e7366d6fcebf4de0b9070691a6729a57", "input": "Problem: the average weight of 5 persons increases by 1.5 kg . if a person weighing 65 kg is replaced by a new person , what could be the weight of the new person ? \nOptions: a ) 76 kg , b ) 77 kg , c ) 72.5 kg , d ) data inadequate , e ) none of these", "output": [ "c" ] }, { "id": "task1420-07dfb5bfd7c44c7097c81e8398dd35fb", "input": "Problem: jerry ’ s average ( arithmetic mean ) score on the first 3 of 4 tests is 85 . if jerry wants to raise his average by 3 points , what score must he earn on the fourth test ? \nOptions: a ) 97 , b ) 89 , c ) 90 , d ) 93 , e ) 95", "output": [ "a" ] }, { "id": "task1420-f461ae4aadf9487eacf23605a3b8f744", "input": "Problem: 8597 - ? = 7429 - 4358 \nOptions: a ) 3567 , b ) 6424 , c ) 6835 , d ) 5526 , e ) none of these", "output": [ "d" ] }, { "id": "task1420-7c03b481fe4b4cfe888eb6b9e76a5f0e", "input": "Problem: a sum of money is to be distributed among a , b , c , d in the proportion of 5 : 2 : 4 : 3 . if c gets $ 500 more than d , what is d ' s share ? \nOptions: a ) $ 1000 , b ) $ 1200 , c ) $ 1500 , d ) $ 1800 , e ) $ 2000", "output": [ "c" ] }, { "id": "task1420-57969be5cae84cac8f6f5a0f07b9fa62", "input": "Problem: find the total number of prime factors in the expression ( 4 ) ^ 11 x ( 7 ) ^ 5 x ( 11 ) ^ 2 \nOptions: a ) 26 , b ) 22 , c ) 25 , d ) 27 , e ) 29", "output": [ "e" ] }, { "id": "task1420-9c4c3fac11d440bc88f3ac912086a63d", "input": "Problem: the ratio w , by volume of soap to alcohol to water in a 76 litre solution is 2 : 50 : 100 . the solution is then altered by adding more soap , alcohol and water . after this alteration the ratio , by volume of soap to water in the solution doubles whereas the ratio , by volume of soap to water remains the same as before . what could be the resulting volume . \nOptions: a ) 79 litres , b ) 78 litres , c ) 77 litres , d ) 152 liters , e ) 304 litres", "output": [ "c" ] }, { "id": "task1420-66887a8c42c24588a85fd0baa5644301", "input": "Problem: if m and n are positive integers and m ^ 2 + n ^ 2 = 137 , what is the value of m ^ 3 + n ^ 3 ? \nOptions: a ) 72 , b ) 224 , c ) 320 , d ) 512 , e ) 1,395", "output": [ "e" ] }, { "id": "task1420-aa10589b15974215ac8ebb1661d4844a", "input": "Problem: two kinds of vodka are mixed in the ratio 1 : 2 and 2 : 1 and they are sold fetching the profit 40 % and 20 % respectively . if the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4 / 3 and 5 / 3 times respectively , then the mixture will fetch the profit of \nOptions: a ) 18 % , b ) 20 % , c ) 21 % , d ) 33 % , e ) can not be determined", "output": [ "d" ] }, { "id": "task1420-1e8c47a5314d4063b34cf0c2f08a1111", "input": "Problem: in a house a hall is 20 m long , 15 m wide and 5 m high . its interior has to be covered with mat . what will be the total expenditure if it costs rs . 10 per square m ? \nOptions: a ) s . 9500 , b ) s . 50000 , c ) s . 57000 , d ) s . 60000 , e ) s . 62000", "output": [ "a" ] }, { "id": "task1420-adf36eb63ed64bec9af8036aaa16019f", "input": "Problem: in 70 liters of a mixture of milk and water , the quantity of water is 10 % . how much water should be added so that new mixture may 25 % water . \nOptions: a ) 14 , b ) 15 , c ) 16 , d ) 17 , e ) 18", "output": [ "a" ] }, { "id": "task1420-efbd3f3f4f864e7c94d4c42c7a752395", "input": "Problem: john has exactly 31 pens , and each pen is either bule , black , or red . if he has 5 more black pens than red pens , and twice as many blue pens as black pens , how many blue pens does john has ? \nOptions: a ) 15 , b ) 18 , c ) 20 , d ) 22 , e ) 17", "output": [ "b" ] }, { "id": "task1420-0315170e1cdf475b8b791289ce90a728", "input": "Problem: in a division , divident is 686 , divisior is 36 and quotient is 19 . find the remainder . \nOptions: a ) a ) 4 , b ) b ) 3 , c ) c ) 2 , d ) d ) 5 , e ) e ) 6", "output": [ "c" ] }, { "id": "task1420-c5a37fd67c064a919f66938ed3339f6a", "input": "Problem: a man can swim in still water at 9 km / h , but takes twice as long to swim upstream than downstream . the speed of the stream is ? \nOptions: a ) 1.7 , b ) 1.9 , c ) 3 , d ) 1.5 , e ) 1.2", "output": [ "c" ] }, { "id": "task1420-06c60c256e55446b8a8698c735f67a04", "input": "Problem: the value of ( ( x – y ) ³ + ( y - z ) ³ + ( z – x ) ³ ) / ( 15 ( x – y ) ( y – z ) ( z – x ) ) is equal to : \nOptions: a ) 0 , b ) 1 / 12 , c ) 1 , d ) 1 / 5 , e ) 1 / 3", "output": [ "d" ] }, { "id": "task1420-89aec6bc26e4480f82793c5617aea8ef", "input": "Problem: a container holds 4 quarts of alcohol and 4 quarts of water . how many quarts of water must be added to the container to create a mixture that is 3 parts alcohol to 5 parts water by volume ? \nOptions: a ) 4 / 3 , b ) 5 / 3 , c ) 7 / 3 , d ) 8 / 3 , e ) 10 / 3", "output": [ "d" ] }, { "id": "task1420-e0ccd918227e466cbd6a7afcf7272c93", "input": "Problem: if n is a prime number greater than 4 , what is the remainder when n ^ 2 is divided by 12 ? \nOptions: a ) 0 , b ) 2 , c ) 1 , d ) 3 , e ) 5", "output": [ "c" ] }, { "id": "task1420-83c8653c0dbe4569916316d9ea1d4cbc", "input": "Problem: the average of first seven multiples of 8 is : \nOptions: a ) 9 , b ) 16 , c ) 15 , d ) 32 , e ) 10", "output": [ "d" ] }, { "id": "task1420-9120fb969980471c9cd7f5f538236ebc", "input": "Problem: the average ( arithmetic mean ) of all scores on a certain algebra test was 90 . if the average of the 8 male students ’ grades was 83 , and the average of the female students ’ grades was 92 , how many female students took the test ? \nOptions: a ) 8 , b ) 9 , c ) 10 , d ) 21 , e ) 28", "output": [ "e" ] }, { "id": "task1420-00f0c6a4fafb4850bb4da6b3495c640f", "input": "Problem: the difference between compound and simple interest on a certain sum of money for 3 years at 6 2 / 3 % p . a is rs . 184 . find the sum ? \nOptions: a ) 33772 , b ) 26782 , c ) 26788 , d ) 13500 , e ) 27761", "output": [ "d" ] }, { "id": "task1420-625ad1e365044925aace47ae686e389b", "input": "Problem: is two years older than b who is twice as old as c . if the total of the ages of a , b and c be 32 , then how old is b ? \nOptions: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 12", "output": [ "e" ] }, { "id": "task1420-91776f66d90e4103a8c7540403924f12", "input": "Problem: if n is a positive integer and the product of all integers from 1 to n , inclusive , is a multiple of 690 , what is the least possible value of n ? \nOptions: a ) 10 , b ) 11 , c ) 12 , d ) 13 , e ) 23", "output": [ "e" ] }, { "id": "task1420-2651f7911e0047c7b535220ee5657e44", "input": "Problem: if 6 / w + 6 / x = 6 / y and wx = y , then the average ( arithmetic mean ) of w and x is \nOptions: a ) 1 / 2 , b ) 1 , c ) 2 , d ) 4 , e ) 8", "output": [ "a" ] }, { "id": "task1420-75e302d741c947d58237e21414b0d65f", "input": "Problem: which is the least number that must be subtracted from 1256 so that the remainder when divided by 7 , 12 , 16 is 4 ? \nOptions: a ) 242 , b ) 232 , c ) 236 , d ) 240 , e ) 244", "output": [ "e" ] }, { "id": "task1420-7453924bbe574f0396fa6664d20101ed", "input": "Problem: 107 ã — 107 + 93 ã — 93 = ? \nOptions: a ) 20198 , b ) 20098 , c ) 20000 , d ) 20088 , e ) 20085", "output": [ "b" ] }, { "id": "task1420-74a39e4dc9664dd9ba7a16438ff5fe68", "input": "Problem: if each digit in the set a = { 1 , 2 , 3 , 4 , 5 , 6 , 7 } is used exactly once , in how many ways can the digits be arranged ? \nOptions: a ) 4830 , b ) 5040 , c ) 5250 , d ) 5460 , e ) 5680", "output": [ "b" ] }, { "id": "task1420-19cc7322ff15489291c737ba800c71d5", "input": "Problem: reeya obtained 65 , 67 , 76 , 82 and 85 out of 100 in different subjects , what will be the average \nOptions: a ) 70 , b ) 75 , c ) 80 , d ) 85 , e ) 60", "output": [ "b" ] }, { "id": "task1420-c9f330dd8905405f845d22c30b23a1f4", "input": "Problem: what number times ( 1 ⁄ 5 ) ^ 2 will give the value of 5 ^ 3 ? \nOptions: a ) 5 , b ) 25 , c ) 125 , d ) 625 , e ) 3125", "output": [ "e" ] }, { "id": "task1420-438e728ff2b44b2fb33800456b507f10", "input": "Problem: a man is 30 years older than his son . in two years , his age will be twice the age of his son . the present age of this son is \nOptions: a ) 28 years , b ) 22 years , c ) 23 years , d ) 24 years , e ) 26 years", "output": [ "a" ] }, { "id": "task1420-fbb7c58156d04c35a94d2a9b7b1da7f6", "input": "Problem: solve the equation for x : 6 x - 47 + 3 x = 4 + 9 - x \nOptions: a ) 4 , b ) 5 , c ) 7 , d ) 9 , e ) 6", "output": [ "e" ] }, { "id": "task1420-106312f2b8a244c99c1e0965355a88ee", "input": "Problem: the sum of three consecutive multiples of 3 is 72 . what is the largest number ? \nOptions: a ) 21 , b ) 24 , c ) 27 , d ) 36 , e ) 39", "output": [ "c" ] }, { "id": "task1420-be8dfb51945b43a2ba8f805a9d5a754d", "input": "Problem: the positive value of x that satisfies the equation ( 3 + 2 x ) ^ 5 = ( 1 + 3 x ) ^ 4 is between bunuel , can you please explain this one ? \nOptions: a ) 0 and 0.5 , b ) 0.5 and 1 , c ) 1 and 1.5 , d ) 1.5 and 2 , e ) 2 and 2.5", "output": [ "d" ] }, { "id": "task1420-ea769d8e824a4226947565abf60a5572", "input": "Problem: a company decreased the price of its main product by 75 % . subsequently , the number of units sold increased such that the total revenue remained unchanged . what was the ratio of the percent increase in the units sold to the percent decrease of the original price for this product ? \nOptions: a ) 1.33 , b ) 2.33 , c ) 3.33 , d ) 4.33 , e ) 1.45", "output": [ "a" ] }, { "id": "task1420-33b740a82afb409dad502c6b19129cd0", "input": "Problem: x varies inversely as square of y . given that y = 3 for x = 1 . the value of x for y = 9 will be equal to : \nOptions: a ) 3 , b ) 6 , c ) 1 / 9 , d ) 1 / 3 , e ) 9", "output": [ "c" ] }, { "id": "task1420-3f4be28bf3a34c4f97b5a7fc61f31f79", "input": "Problem: what is the least number to be added to 661 to make it a perfect square ? \nOptions: a ) 13 , b ) 15 , c ) 20 , d ) 16 , e ) 45", "output": [ "b" ] }, { "id": "task1420-de753c6814474e8195030984fb751e0c", "input": "Problem: sum of the squares of 3 no . ' s is 179 and the sum of their products taken two at a time is 131 . find the sum ? \nOptions: a ) 20 , b ) 21 , c ) 26 , d ) 28 , e ) 30", "output": [ "b" ] }, { "id": "task1420-25fa639a0f4049538a4dc4442e83dc43", "input": "Problem: a part - time employee whose hourly wage was decreased by 20 percent decided to increase the number of hours worked per week so that the employee ' s total income did not change . by what percent q should the number of hours worked be increased ? \nOptions: a ) 12.5 % , b ) 20 % , c ) 25 % , d ) 50 % , e ) 100 %", "output": [ "c" ] }, { "id": "task1420-a3b8dd3c5eae4b089cc603629df30692", "input": "Problem: if xy > 0 , 1 / x + 1 / y = 2 , and 1 / xy = 8 , then ( x + y ) / 4 = ? \nOptions: a ) 1 / 16 , b ) 1 / 6 , c ) 1 / 5 , d ) 5 , e ) 6", "output": [ "a" ] }, { "id": "task1420-d4f7bb4d85924835826eb63b54caf003", "input": "Problem: how many digits are in ( 8 × 10 ^ 14 ) ( 10 × 10 ^ 10 ) ? \nOptions: a ) 24 , b ) 25 , c ) 26 , d ) 27 , e ) 28", "output": [ "c" ] }, { "id": "task1420-afc0ab7808974b6cbfab88955c41af32", "input": "Problem: a rainstorm increased the amount of water stored in state j reservoirs from 130 billion gallons to 160 billion gallons . if the storm increased the amount of water in the reservoirs to 60 percent of total capacity , approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm ? \nOptions: a ) 92 , b ) 85 , c ) 136.67 , d ) 140.67 , e ) 150", "output": [ "c" ] }, { "id": "task1420-6ee5f60460bb49b1b04fb85870b10716", "input": "Problem: machine m , n , o working simultaneously machine m can produce x units in 3 / 4 of the time it takes machine n to produce the same amount of units . machine n can produce x units in 2 / 7 the time it takes machine o to produce that amount of units . if all 3 machines are working simultaneously , what fraction of the total output is produced by machine n ? \nOptions: a ) 1 / 2 , b ) 7 / 13 , c ) 4 / 13 , d ) 8 / 29 , e ) 6 / 33", "output": [ "b" ] }, { "id": "task1420-9fa2415bf15b4f7fb1ca5ec4254e979e", "input": "Problem: a man can row 3.6 km / hr in still water . it takes him twice as long to row upstream as to row downstream . what is the rate of the current ? \nOptions: a ) 1.9 , b ) 1.7 , c ) 1.2 , d ) 1.5 , e ) 1.1", "output": [ "c" ] }, { "id": "task1420-32eecd1eacf14dcd9e59b7d1f28bbaa7", "input": "Problem: if 4 xz + yw = 3 and xw + yz = 6 , what is the value of the expression ( 2 x + y ) ( 2 z + w ) ? \nOptions: a ) 9 . , b ) 12 . , c ) 15 . , d ) 16 , e ) 18 .", "output": [ "c" ] }, { "id": "task1420-bf394d347c2f4fc19094226ffab24f36", "input": "Problem: what is the sum of the local values of the digits 2 , 3 , 4 , 5 in the number 2345 ? \nOptions: a ) 2345 , b ) 4500 , c ) 5000 , d ) 6000 , e ) 7000", "output": [ "a" ] }, { "id": "task1420-25e30c52759a42368602f2e4cdf53eb8", "input": "Problem: a store reported total sales of $ 385 million for february of this year . if the total sales for the same month last year was $ 320 million , approximately what was the percent increase i in sales ? \nOptions: a ) 2 % , b ) 17 % , c ) 20 % , d ) 65 % , e ) 83 %", "output": [ "c" ] }, { "id": "task1420-597d9781cbe94c7b9562d4f7569f6616", "input": "Problem: the average weight of 6 person ' s increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg . what might be the weight of the new person ? \nOptions: a ) 76 kg , b ) 80 kg , c ) 85 kg , d ) data inadequate , e ) none of these", "output": [ "b" ] }, { "id": "task1420-ac9206c917414c98bbce1967e6a1377c", "input": "Problem: find the smallest number of 6 digits which is exactly divisible by 111 . \nOptions: a ) 100011 , b ) 111111 , c ) 101111 , d ) 201111 , e ) 211111", "output": [ "a" ] }, { "id": "task1420-784b813d710049e78af171ef7d08ed47", "input": "Problem: what is the value of 4 ^ 5 + 4 ^ 8 ? \nOptions: a ) 4 ^ 12 , b ) 4 ^ 35 , c ) 17 ( 4 ^ 5 ) , d ) 8 ^ 12 , e ) 65 ( 4 ^ 5 )", "output": [ "e" ] }, { "id": "task1420-32e8bafb5e7440e39ecce9da6e27fcc4", "input": "Problem: if a : b = 3 : 4 , b : c = 7 : 9 , c : d = 5 : 7 , find a : d ? \nOptions: a ) 5 / 12 , b ) 5 / 15 , c ) 5 / 10 , d ) 5 / 11 , e ) 5 / 13", "output": [ "a" ] }, { "id": "task1420-36418cb703e1469a8192593a37f524da", "input": "Problem: out of 3 consecutive odd numbers 8 times the first number is equal to addition of thrice the third number and adding 5 to twice the second . what is the first number ? \nOptions: a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 9", "output": [ "c" ] }, { "id": "task1420-3f0f753547584291a6d10f06d069df19", "input": "Problem: a trained covered x km at 40 kmph and another 4 x km at 20 kmph . find the average speed of the train in covering the entire 3 x km . \nOptions: a ) 11.33 kmph , b ) 12.33 kmph , c ) 13.33 kmph , d ) 14.33 kmph , e ) 23.33 kmph", "output": [ "c" ] }, { "id": "task1420-46ce6c47d8524104beb62f34def48889", "input": "Problem: the average weight of 9 person ' s increases by 5.5 kg when a new person comes in place of one of them weighing 86 kg . what might be the weight of the new person ? \nOptions: a ) 72 kg , b ) 77.5 kg , c ) 135.5 kg , d ) data inadequate , e ) none of these", "output": [ "c" ] }, { "id": "task1420-fedab43d9fd246889eed884040a53561", "input": "Problem: the monthly salaries of 6 employees in a company are $ 1000 , $ 2500 , $ 3100 , $ 3650 , $ 1500 , $ 2000 . what is the mean of the salaries of 6 employees . \nOptions: a ) $ 2291.7 , b ) $ 1546.8 , c ) $ 2546.5 , d ) $ 1879.3 , e ) $ 3125.3", "output": [ "a" ] }, { "id": "task1420-ff197aeb56e54c89bc3a93febec27b61", "input": "Problem: the sum of the numbers is 220 . if the first number be twice the second and third number be one - third of the first , then the second number is : \nOptions: a ) 48 , b ) 54 , c ) 72 , d ) 60 , e ) 27", "output": [ "d" ] }, { "id": "task1420-d90006ba6c8349be887cb82754121923", "input": "Problem: ( 7895632 x 881 ) = ? \nOptions: a ) 6846381250 , b ) 6584638130 , c ) 6584638135 , d ) 6584638140 , e ) 6956051792", "output": [ "e" ] }, { "id": "task1420-4c830b3a8f0344ba8601eeeec0e2cfd6", "input": "Problem: 10 camels cost as much as 24 horses , 16 horses cost as much as 4 oxen and 6 oxen as much as 4 elephants . if the cost of 10 elephants is rs . 110000 , find the cost of a camel ? \nOptions: a ) s . 9800 , b ) s . 3800 , c ) s . 9800 , d ) s . 4400 , e ) s . 6880", "output": [ "d" ] }, { "id": "task1420-b066df216f914dd7ad33e924c013f4d7", "input": "Problem: in a urban village of india named ` ` owlna ' ' , 90 % people have refrigerator , 86 % people have television , 80 % people got computers and 80 % got air - conditionor . how many people ( minimum ) got all these luxury . \nOptions: a ) 23 % , b ) 36 % , c ) 30 % , d ) 34 % , e ) 42 %", "output": [ "b" ] }, { "id": "task1420-8f59c79d40db4b218795d57937bb593d", "input": "Problem: if a coin has an equal probability of landing heads up or tails up each time it is flipped , what is the probability that the coin will land tails up exactly twice in 2 consecutive flips ? \nOptions: a ) 0.125 , b ) 0.25 , c ) 0.375 , d ) 0.5 , e ) 0.666", "output": [ "b" ] }, { "id": "task1420-d18a6b6903844796bcf971583148f7d9", "input": "Problem: if x < y < z and y - x > 5 , where x is an even integer and y and z are odd integers , what is the least possible value d of z - x ? \nOptions: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10", "output": [ "d" ] }, { "id": "task1420-91b011394d6745acb3d12d41d7557646", "input": "Problem: what is the sum of natural numbers between 30 and 100 \nOptions: a ) 4615 , b ) 4860 , c ) 5000 , d ) 5500 , e ) 5550", "output": [ "a" ] }, { "id": "task1420-b6a6490a907a425b8e741051fced8a34", "input": "Problem: if an integer n is to be selected at random from 1 to 100 , inclusive , what is probability n ( n + 1 ) will be divisible by 5 ? \nOptions: a ) 1 / 5 , b ) 1 / 3 , c ) 1 / 2 , d ) 2 / 3 , e ) 2 / 5", "output": [ "e" ] }, { "id": "task1420-062073f0fcde4644ac5ea548872d53e3", "input": "Problem: a certain car uses one gallon of gasoline every 38 miles when it travels on highway , and one gallon of gasoline every 20 miles when it travels in the city . when a car travels 4 miles on highway and 4 additional miles in the city , it uses what percent more gasoline than if it travels 8 miles on the highway ? \nOptions: a ) 15 % , b ) 20 % , c ) 22.5 % , d ) 45 % , e ) 50 %", "output": [ "d" ] }, { "id": "task1420-28160b9a67d74d72a9a27fb45febc875", "input": "Problem: the average age of 15 students of a class is 15 years . out of these , the average age of 5 students is 12 years and that of the other 9 students is 16 years . the age of the 15 th student is ? \nOptions: a ) 11 years , b ) 17 years , c ) 21 years , d ) 14 years , e ) 12 years", "output": [ "c" ] }, { "id": "task1420-0cd4d3b208984d7d95ad34cae605f5e8", "input": "Problem: in a room with 7 people , 4 people have exactly 1 friend in the room and 3 people have exactly 2 friends in the room ( assuming that friendship is a mutual relationship , i . e . if jane is paul ' s friend , paul is jane ' s friend ) . if two individuals are selected from the room at random , what is the probability that those two individuals are not friends ? \nOptions: a ) 5 / 21 , b ) 3 / 7 , c ) 4 / 7 , d ) 5 / 7 , e ) 16 / 21", "output": [ "e" ] }, { "id": "task1420-93a53812edff4311a457c2ae1e7da21e", "input": "Problem: 3 / 5 of all married couples have more than one child . 1 / 2 of all married couples have more than 3 children . what fraction of all married couples have 2 or 3 children ? \nOptions: a ) 1 / 5 , b ) 1 / 10 , c ) 7 / 20 , d ) 3 / 5 , e ) it can not be determined from the given information .", "output": [ "b" ] }, { "id": "task1420-fcec11214e3e4fb4a0d666cf4cac8976", "input": "Problem: if 2 x + y = 4 and x + 2 y = 5 , then ( x + y ) / 3 = \nOptions: a ) 1 , b ) 4 / 3 , c ) 17 / 5 , d ) 18 / 5 , e ) 4", "output": [ "a" ] }, { "id": "task1420-3213ce8d3a20487dbe10d2579a9b9a0d", "input": "Problem: the difference between a 7 digit number and the number formed by reversing its digit is not a multiple of \nOptions: a ) 121 , b ) 11 , c ) 9 , d ) 10 , e ) 3", "output": [ "a" ] }, { "id": "task1420-90e22e71025c4f488fcea6ed5e4aed8a", "input": "Problem: the total price of a basic computer and printer are $ 2,500 . if the same printer had been purchased with an enhanced computer whose price was $ 500 more than the price of the basic computer , then the price of the printer would have been 2 / 5 of that total . what was the price of the basic computer ? \nOptions: a ) 1300 , b ) 1600 , c ) 1750 , d ) 1900 , e ) 2000", "output": [ "a" ] }, { "id": "task1420-05b69e64e4c54135a5e521779c1eb8a0", "input": "Problem: the unit digit in the product ( 891 * 781 * 912 * 463 ) is : \nOptions: a ) 2 , b ) 5 , c ) 6 , d ) 8 , e ) 10", "output": [ "c" ] }, { "id": "task1420-56b19582f75e4d448c80a70462f83b63", "input": "Problem: if the remainder is 10 when positive integer n is divided by 14 , what is the remainder when n is divided by 7 ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4", "output": [ "d" ] }, { "id": "task1420-2ab87617e2aa4d58b672701c30e6a795", "input": "Problem: a 72 gallon solution of salt and water is 10 % salt . how many gallons of water must be added to the solution in order to decrease the salt to 8 % of the volume ? \nOptions: a ) 8 , b ) 12 , c ) 18 , d ) 14 , e ) 16", "output": [ "c" ] }, { "id": "task1420-fd971fb63ca94c0ea0e6637d4fd74c9a", "input": "Problem: the average of 20 results is 65 and the average of other 65 results is 20 . what is the average of all the results ? \nOptions: a ) 30 , b ) 25 , c ) 48 , d ) 50 , e ) none", "output": [ "a" ] }, { "id": "task1420-c9dd05f3edd34822a53961370ae98320", "input": "Problem: one week , a certain truck rental lot had a total of 20 trucks , all of which were on the lot monday morning . if 50 % of the trucks that were rented out during the week were returned to the lot on or before saturday morning of that week , and if there were at least 16 trucks on the lot that saturday morning , what is the greatest number of different trucks that could have been rented out during the week ? \nOptions: a ) 18 , b ) 16 , c ) 12 , d ) 14 , e ) 8", "output": [ "e" ] }, { "id": "task1420-4bf302185bc94f67a5702d9fca4026ed", "input": "Problem: what is the least number by which 16800 must be divided to get a number perfect square \nOptions: a ) 21 , b ) 42 , c ) 24 , d ) 40 , e ) 45", "output": [ "b" ] }, { "id": "task1420-9facf3ba2ec04f378190d63e9d52ce58", "input": "Problem: x , a , z , and b are single digit positive integers . x = 1 / 8 a . z = 1 / 8 b . ( 10 a + b ) – ( 10 x + z ) could not equal \nOptions: a ) 28 , b ) 35 , c ) 49 , d ) 63 , e ) 55", "output": [ "e" ] }, { "id": "task1420-381c1789fea04b329aad92c0b078a2dd", "input": "Problem: on a two - dimensional coordinate plane , the line s = x ^ 2 - x ^ 3 touches the x - axis in how many places ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4", "output": [ "c" ] }, { "id": "task1420-520067bb1074448da51260c35e83bcc0", "input": "Problem: the average weight of 8 person ' s increases by 2 kg when a new person comes in place of one of them weighing 65 kg . what might be the weight of the new person ? \nOptions: a ) 70 kg , b ) 80 kg , c ) 81 kg , d ) 90 kg , e ) 91 kg", "output": [ "c" ] }, { "id": "task1420-1b06247bcd024a3b91792089222be511", "input": "Problem: john has 10 pairs of matched socks . if he loses 3 individual socks , what is the greatest number of pairs of matched socks he can have left ? \nOptions: a ) 7 , b ) 8 , c ) 5 , d ) 4 , e ) 3", "output": [ "b" ] }, { "id": "task1420-6a8de5cbbb2a41a3ae2897fa68b32e50", "input": "Problem: what is the total number of integers between 20 and 100 that are divisible by 9 ? \nOptions: a ) 5 , b ) 15 , c ) 12 , d ) 7 , e ) 9", "output": [ "e" ] }, { "id": "task1420-d324edbe757f4d388558ea262d2bd4d4", "input": "Problem: the population of locusts in a certain swarm doubles every two hours . if 4 hours ago there were 1,000 locusts in the swarm , in approximately how many hours will the swarm population exceed 32,000 locusts ? \nOptions: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 9", "output": [ "c" ] }, { "id": "task1420-4db0032f77a5461ab3e59db31dfeee52", "input": "Problem: what is the greatest positive integer x such that 3 ^ x is a factor of 9 ^ 10 ? \nOptions: a ) 5 , b ) 9 , c ) 10 , d ) 20 , e ) 30", "output": [ "d" ] }, { "id": "task1420-3e1e4098b79a4dfaa7ccaf1bb2fea7db", "input": "Problem: a corporation that had $ 115.19 billion in profits for the year paid out $ 230.10 million in employee benefits . approximately what percent of the profits were the employee benefits ? ( note : 1 billion = 10 ^ 9 ) \nOptions: a ) 50 % , b ) 20 % , c ) 5 % , d ) 2 % , e ) 0.2 %", "output": [ "e" ] }, { "id": "task1420-dcd1d3d985544050be1ffc47f5700f08", "input": "Problem: a dog is tied to a tree by a long nylon cord . if the dog runs from the due north side of the tree to the due south side of the tree with the cord extended to its full length at all items , and the dog ran approximately 30 feet , what was the approximate length of the nylon cord w , in feet ? \nOptions: a ) 30 , b ) 25 , c ) 15 , d ) 10 , e ) 5", "output": [ "d" ] }, { "id": "task1420-1e3a850e68864eea9a7aef058cf37790", "input": "Problem: a company wants to spend equal amounts of money for the purchase of two types of computer printers costing $ 400 and $ 350 per unit , respectively . what is the fewest number of computer printers that the company can purchase ? \nOptions: a ) 11 , b ) 13 , c ) 15 , d ) 17 , e ) 19", "output": [ "c" ] }, { "id": "task1420-ef951d3dd14c408ea0243de615ad537a", "input": "Problem: the sum of first n consecutive odd integers is n ^ 2 . what is the sum of all odd integers between 13 and 31 inclusive . \nOptions: a ) 220 , b ) 364 , c ) 410 , d ) 424 , e ) 450", "output": [ "a" ] }, { "id": "task1420-4cf834f5d2684a2fa11c9f8d5ccc0a8f", "input": "Problem: tough and tricky questions : functions . let a be a positive integer . let n # a equal n ^ ( 2 a ) if a is odd and n ^ ( 3 a ) if a is even . then ( 2 # 3 ) + ( 2 # 3 ) – ( 3 # 3 ) is equal to \nOptions: a ) 64 , b ) 82 , c ) 128 , d ) 729 , e ) 1522", "output": [ "d" ] }, { "id": "task1420-c670fea60f704f729ff722a0631214ce", "input": "Problem: suraj has a certain average of runs for 16 innings . in the 17 th innings he scores 112 runs thereby increasing his average by 6 runs . what is his average after the 17 th innings ? \nOptions: a ) 18 , b ) 25 , c ) 16 , d ) 72 , e ) 27", "output": [ "c" ] }, { "id": "task1420-21a7609edabf4e23859dace6c4578065", "input": "Problem: you collect baseball cards . suppose you start out with 15 . maria takes half of one more than the number of baseball cards you have . since you ' re nice , you give peter 1 baseball card . since his father makes baseball cards , paul decides to triple your baseball cards . how many baseball cards do you have at the end ? \nOptions: a ) 17 , b ) 18 , c ) 19 , d ) 20 , e ) 21", "output": [ "b" ] }, { "id": "task1420-da0089b368f9429fbcab22e44da5e0f2", "input": "Problem: the cost of 2 chairs and 3 tables is rs . 1700 . the cost of 3 chairs and 2 tables is rs . 1200 . the cost of each table is more than that of each chair by ? \nOptions: a ) 228 , b ) 287 , c ) 277 , d ) 188 , e ) 500", "output": [ "e" ] }, { "id": "task1420-a9b151bbfecb4cf9b019d93846e1d179", "input": "Problem: when positive integer n is divided by positive integer j , the remainder is 18 . if n / j = 134.08 , what is value of j ? \nOptions: a ) 22 , b ) 56 , c ) 78 , d ) 112 , e ) 225", "output": [ "e" ] }, { "id": "task1420-d52a6426c2bf44b7a14c4d5616e1de53", "input": "Problem: balls of equal size are arranged in rows to form an equilateral triangle . the top most row consists of one ball , the 2 nd row of two balls and so on . if 1104 balls are added , then all the balls can be arranged in the shape of square and each of the sides of the square contain 8 balls less than the each side of the triangle did . how many balls made up the triangle ? \nOptions: a ) 2145 , b ) 2209 , c ) 2878 , d ) 1210 , e ) 1560", "output": [ "a" ] }, { "id": "task1420-2b33f23d3b694128997588ff1360da27", "input": "Problem: 2 , 5 , 10 , 17 , . . \nOptions: a ) 5 , b ) 8 , c ) 26 , d ) 7 , e ) 12", "output": [ "c" ] }, { "id": "task1420-b2df62d450164d499ab07e3e3f9651f3", "input": "Problem: the difference of two numbers is 11 and one - fifth of their sum is 9 . find the numbers \nOptions: a ) 28,22 , b ) 28,17 , c ) 27,17 , d ) 26,17 , e ) 28,19", "output": [ "b" ] }, { "id": "task1420-72ab07ca47934b2f8f81e8dc98f1d256", "input": "Problem: how many numbers from 2 to 7 are exactly divisible by 2 ? \nOptions: a ) 2 , b ) 3 , c ) 5 , d ) 7 , e ) 8", "output": [ "b" ] }, { "id": "task1420-7c99353a70eb4e3f85f6211e9ec88f5c", "input": "Problem: 150 ml of 30 % sulphuric acid was added to approximate 400 ml of 12 % sulphuric acid solution . find the approximate concentration e of the acid in the mixture ? \nOptions: a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 4 , d ) 1 / 6 , e ) 1 / 5", "output": [ "d" ] }, { "id": "task1420-6e77f7d4cbe440c3ad2ef33272b3a65d", "input": "Problem: little john had $ 5.10 . he spent $ 1.05 on sweets and gave to his two friends $ 1.00 each . how much money was left ? \nOptions: a ) $ 2.15 , b ) $ 2.05 , c ) $ 2.45 , d ) $ 2.25 , e ) $ 2.85", "output": [ "b" ] }, { "id": "task1420-5c759c4673164edea80f4bbeedc53765", "input": "Problem: a certain number when divided by 39 leaves a remainder 20 , what is the remainder when the same number is divided by 13 ? \nOptions: a ) 7 , b ) 8 , c ) 9 , d ) 0 , e ) 1", "output": [ "a" ] }, { "id": "task1420-ef7576b8501a44488c9dec33bb4d1a40", "input": "Problem: the sum of the first 50 positive even integers is 2,550 . what is the sum of the odd integers from 101 to 200 , inclusive ? \nOptions: a ) 5,050 , b ) 7,500 , c ) 10,500 , d ) 15,000 , e ) 19,600", "output": [ "b" ] }, { "id": "task1420-97727497a55d49b7b41767e2ee763ce9", "input": "Problem: john was 22 years old when he married betty . they just celebrated their fifth wedding anniversary , and betty ' s age is now 7 / 9 of john ' s . how old is betty ? \nOptions: a ) 24 , b ) 26 , c ) 28 , d ) 21 , e ) 32", "output": [ "d" ] }, { "id": "task1420-e13845413dd2498bb8880d27d0b3c140", "input": "Problem: for any integer n greater than 1 , n * denotes the product of all the integers from 1 to n , inclusive . how many prime numbers q are there between 6 * + 2 and 6 * + 6 , inclusive ? \nOptions: a ) none , b ) one , c ) two , d ) three , e ) four", "output": [ "a" ] }, { "id": "task1420-66aef9273ce248a2ad0c9884ab6a3e44", "input": "Problem: john has taken 4 ( 4 ) tests that have an average of 82 . in order to bring his course grade up to a ‘ b ’ , he will need to have a final average of 86 . what will he need to average on his final two tests to achieve this grade ? \nOptions: a ) 87 , b ) 90 , c ) 92 , d ) 94 , e ) 97", "output": [ "d" ] }, { "id": "task1420-d739876103d54da1a9c35de5fb3ff36c", "input": "Problem: a man spend 1 / 5 of his salary on food , 1 / 10 of his salary on house rent and 3 / 5 salary on clothes . he still has $ 14000 left with him . find salary . . \nOptions: a ) $ 10400 , b ) $ 14000 , c ) $ 144000 , d ) $ 1800 , e ) $ 140000", "output": [ "e" ] }, { "id": "task1420-f5299c943c914c2d9194c79a937fbc9a", "input": "Problem: in 1982 and 1983 , company b ’ s operating expenses were $ 12.0 million and $ 13.0 million , respectively , and its revenues were $ 15.6 million and $ 18.8 million , respectively . what was the percent increase in company b ’ s profit ( revenues minus operating expenses ) from 1982 to 1983 ? \nOptions: a ) 3 % , b ) 61 1 / 9 % , c ) 25 % , d ) 33 1 / 3 % , e ) 60 %", "output": [ "b" ] }, { "id": "task1420-e8a38cebc6a4454ea07d31125f137b74", "input": "Problem: if 70 percent of 600 is 40 percent of x , then x = ? \nOptions: a ) 105 , b ) 168 , c ) 342 , d ) 660 , e ) 1050", "output": [ "e" ] }, { "id": "task1420-8e9a3f36c38546fe8e701f54f2e2f866", "input": "Problem: a student got 74 % in math and 84 % in history . to get an overall average of 75 % , how much should the student get in the third subject ? \nOptions: a ) 61 % , b ) 63 % , c ) 65 % , d ) 67 % , e ) 69 %", "output": [ "d" ] }, { "id": "task1420-fcf358d3e7b84c908668e8bcb5c8f8f3", "input": "Problem: molly ' s age in 18 years will be 5 times her age 6 years ago . what is molly ' s present age ? \nOptions: a ) 8 , b ) 9 , c ) 10 , d ) 12 , e ) 14", "output": [ "d" ] }, { "id": "task1420-c146991c72964e4184f97ae3b3f4a765", "input": "Problem: find large number from below question the difference of two numbers is 250 . on dividing the larger number by the smaller , we get 5 as quotient and the 14 as remainder \nOptions: a ) 120 , b ) 135 , c ) 140 , d ) 309 , e ) 369", "output": [ "d" ] }, { "id": "task1420-6d837978933e4a48a5a7bb9ad3db6814", "input": "Problem: if 50 % of ( x - y ) = 20 % of ( x + y ) then what percent of x is y ? \nOptions: a ) 2.5 % , b ) 10 % , c ) 5 % , d ) 15 % , e ) 43 %", "output": [ "e" ] }, { "id": "task1420-8a82266d15044bbeac64c1f7389c3772", "input": "Problem: set s consists of integers { 13 , 57 } . if two numbers are chosen from set s at random , what is the probability that the product of 2 numbers is more than 15 ? \nOptions: a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 5 , d ) 1 / 6 , e ) 2 / 3", "output": [ "b" ] }, { "id": "task1420-38d8dcad1333419e910ac0e100f02f7c", "input": "Problem: the “ length of integer x ” refers to the number of prime factors , not necessarily distinct , that x has . ( if x = 60 , the length of x would be 4 because 60 = 2 × 2 × 3 × 5 . ) what is the greatest possible length of integer z if z < 1,080 ? \nOptions: a ) 13 , b ) 10 , c ) 9 , d ) 7 , e ) 6", "output": [ "b" ] }, { "id": "task1420-8052150e10484f24a0b1715e5c3f15d9", "input": "Problem: two equally sized jugs full of water are each emptied into two separate unequally sized empty jugs , x and y . now , jug x is 1 / 6 full , while jug y is 2 / 3 full . if water is poured from jug x into jug y until jug y is filled , what fraction of jug x then contains water ? \nOptions: a ) 0 , b ) 1 / 12 , c ) 2 / 15 , d ) 1 / 10 , e ) 2 / 10", "output": [ "b" ] }, { "id": "task1420-27edea332937428796d2cdd444d458af", "input": "Problem: the ratio of a to b is 4 to 5 , where a and b are positive . if x equals a increased by 25 percent of a , and m equals b decreased by 60 percent of b , what is the value of m / x ? \nOptions: a ) 1 / 3 , b ) 2 / 5 , c ) 3 / 4 , d ) 3 / 2 , e ) 2 / 3", "output": [ "b" ] }, { "id": "task1420-0c0c7a797dc640c09d6cfb300a335323", "input": "Problem: the average of 11 results is 52 , if the average of first 6 results is 49 and that of the last 6 is 52 . find the sixth result ? \nOptions: a ) a ) 46 , b ) b ) 34 , c ) c ) 66 , d ) d ) 76 , e ) e ) 74", "output": [ "b" ] }, { "id": "task1420-bd1dec4323d6426d8580a7a2d9a87822", "input": "Problem: sam ’ s car was fined when he gave joe and peter a ride , so they decided to help sam pay the fine . joe paid $ 10 more than 1 / 4 of the fine and peter paid $ 10 less than 1 / 3 of the fine , leaving pay $ 25 less than 1 / 2 the fine to complete the payment . what fraction of the fine did sam pay ? \nOptions: a ) $ 120 , b ) $ 125 , c ) $ 130 , d ) $ 135 , e ) $ 140", "output": [ "b" ] }, { "id": "task1420-079416d187a245a08040122a62801894", "input": "Problem: what is the value of ( 12 + 22 + 32 + 42 + - - - - - + 102 ) \nOptions: a ) 295 , b ) 324 , c ) 385 , d ) 391 , e ) 399", "output": [ "c" ] }, { "id": "task1420-2f9c67775f5d4ed092c59bdc374cb15e", "input": "Problem: if a = 105 and a ^ 3 = 21 × 25 × 45 × q , what is the value of q ? \nOptions: a ) 35 , b ) 42 , c ) 45 , d ) 49 , e ) 54", "output": [ "d" ] }, { "id": "task1420-542e7c66a0904e9488510f3489c6dcc4", "input": "Problem: how many zeroes are there at the end of the number n , if n = 60 ! + 120 ! ? \nOptions: a ) 12 , b ) 14 , c ) 16 , d ) 18 , e ) 20", "output": [ "b" ] }, { "id": "task1420-cbf23c679355491786ab16fdffbea2c7", "input": "Problem: in an examination , there were 2,000 candidates , out of which 900 candidates were girls and rest were boys . if 36 % of the boys and 32 % of the girls passed , then the total percentage of failed candidates is ? \nOptions: a ) 35.67 % , b ) 65.80 % , c ) 68.57 % , d ) 69.57 % , e ) none of these", "output": [ "b" ] }, { "id": "task1420-e94ba90ba5264190a227ab25cce13ea9", "input": "Problem: f ( 1 ) = 1 , where f ( x + y ) = f ( x ) + f ( y ) + 8 xy - 2 . then f ( 7 ) = ? \nOptions: a ) 162 , b ) 163 , c ) 164 , d ) 165 , e ) 166", "output": [ "b" ] }, { "id": "task1420-3f3118f5a31847b896ff78c9f918d0e1", "input": "Problem: in an office , totally there are 2800 employees and 25 % of the total employees are males . 30 % of the males in the office are at - least 50 years old . find the number of males aged below 50 years ? \nOptions: a ) 390 , b ) 490 , c ) 400 , d ) 460 , e ) none of these", "output": [ "b" ] }, { "id": "task1420-5f2464f6f09e43a8b951b2697c3b5f92", "input": "Problem: find the principle on a certain sum of money at 5 % per annum for 2 2 / 5 years if the amount being rs . 896 ? \nOptions: a ) 1000 , b ) 800 , c ) 2889 , d ) 2777 , e ) 2991", "output": [ "b" ] }, { "id": "task1420-62688fad55b54d02b3220bcfdc86c5c7", "input": "Problem: if ( m - 8 ) is a factor of m ^ 2 - km - 24 , then k = \nOptions: a ) 3 , b ) 5 , c ) 6 , d ) 11 , e ) 16", "output": [ "b" ] }, { "id": "task1420-fe7a55cc9c95459bbef9cfeb973a60f9", "input": "Problem: a “ palindromic integer ” is an integer that remains the same when its digits are reversed . so , for example , 43334 and 516615 are both examples of palindromic integers . how many 6 - digit palindromic integers are both even and greater than 500000 ? \nOptions: a ) 160 , b ) 200 , c ) 240 , d ) 300 , e ) 480", "output": [ "b" ] }, { "id": "task1420-f4eb515ddf4e4c3abc8fa6bc33da87ec", "input": "Problem: if x + 1 / x = 2 then find x 2 + 1 / x 2 \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "b" ] }, { "id": "task1420-1e136412813b42d795a60786e8b6f9ec", "input": "Problem: find the sum of first 35 odd numbers \nOptions: a ) 4900 , b ) 3000 , c ) 1250 , d ) 1200 , e ) 1225", "output": [ "e" ] }, { "id": "task1420-787b25bb400e41bcb9552b296bbda4e4", "input": "Problem: a local restaurant recently renovated its dining space , purchasing new tables and chairs to use in addition to the original tables and chairs . the new tables each seat 6 customers , while the original tables each seat 4 customers . altogether , the restaurant now has 40 tables and is capable of seating 212 customers . how many more new tables than original tables does the restaurant have ? \nOptions: a ) 8 , b ) 12 , c ) 20 , d ) 24 , e ) 28", "output": [ "b" ] }, { "id": "task1420-2a4daca7e85a46d3a815eff8e73fdd26", "input": "Problem: 517 x 517 + 483 x 483 = ? \nOptions: a ) 79698 , b ) 80578 , c ) 500578 , d ) 81268 , e ) none of them", "output": [ "c" ] }, { "id": "task1420-5c86b502f7264656b8f8a371ff85b7ec", "input": "Problem: the average age of 6 men increases by 2 years when two women are included in place of two men of ages 10 and 12 years . find the average age of the women ? \nOptions: a ) 87 , b ) 12 , c ) 30 , d ) 28 , e ) 17", "output": [ "e" ] }, { "id": "task1420-a1336aa0ba5c4292b319424c1dd65fa5", "input": "Problem: a teacher grades students ’ tests by subtracting twice the number of incorrect responses from the number of correct responses . if student a answers each of the 100 questions on her test and receives a score of 70 , how many questions did student a answer correctly ? \nOptions: a ) 55 , b ) 90 , c ) 73 , d ) 82 , e ) 91", "output": [ "b" ] }, { "id": "task1420-f58c87cb23544fd4ae3789ccb4467d59", "input": "Problem: diana is painting statues . she has 7 / 8 of a gallon of paint remaining . each statue requires 1 / 8 gallon of paint . how many statues can she paint ? \nOptions: a ) 7 , b ) 20 , c ) 28 , d ) 14 , e ) 19", "output": [ "a" ] }, { "id": "task1420-a25b2b30a8d2440b9e874834d3d679ae", "input": "Problem: the average ( arithmetic mean ) of 5 numbers is 5 . if 2 is subtracted from each of 4 of the numbers , what is the new average ? \nOptions: a ) 3.4 , b ) 4.5 , c ) 6.2 , d ) 5.7 , e ) 6.9", "output": [ "a" ] }, { "id": "task1420-674d58dcd2484cc1921c7e9371d2b333", "input": "Problem: ( x ) + 1315 + 9211 - 1569 = 11901 . calculate the value of x \nOptions: a ) 87801 , b ) 87811 , c ) 87862 , d ) 11803 , e ) 87803", "output": [ "e" ] }, { "id": "task1420-6437de9227a441d28e22fd1beebe2215", "input": "Problem: after spending rs . 5000 on rent , rs . 1500 on milk , rs . 4500 on groceries , rs . 2500 on childrens education rs . 2000 on petrol and rs . 5200 on miscellaneous expenses , mr . kishore saved 10 % of his monthly salary . how much did he save in rs . ? \nOptions: a ) 2160 , b ) 2350 , c ) 2000 , d ) 2300 , e ) none of these", "output": [ "d" ] }, { "id": "task1420-c1c6c81c085f4fcc923d036cc23c72e9", "input": "Problem: if you add all the numbers on your mobile phone , what is the answer ? \nOptions: a ) 45 , b ) 50 , c ) 55 , d ) 100 , e ) 60", "output": [ "a" ] }, { "id": "task1420-0e7750f69cb3473c899e533d1a3d669f", "input": "Problem: when n is divided by 15 , the remainder is 8 . what is the remainder when 5 n is divided by 6 ? \nOptions: a ) 2 , b ) 6 , c ) 3 , d ) 4 , e ) 1", "output": [ "d" ] }, { "id": "task1420-b8b5c378312c45a3af026cf87a87d6e1", "input": "Problem: in a race where 15 cars are running , the chance that car x will win is 1 / 4 , that y will win is 1 / 8 and that z will win is 1 / 12 . assuming that a dead heat is impossible , find the chance that one of them will win . \nOptions: a ) 1 / 140 , b ) 1 / 180 , c ) 11 / 24 , d ) 10 / 15 , e ) 57 / 120", "output": [ "c" ] }, { "id": "task1420-fdc493e29b04407784a56e29fb02a835", "input": "Problem: the average of 11 numbers is 10.7 . if the average of first 6 is 10.5 and that of the last 6.00001 is 11.4 the sixth number is ? \nOptions: a ) 9 , b ) 9.2 , c ) 10 , d ) 13.7 , e ) 12", "output": [ "d" ] }, { "id": "task1420-acce85b1f3dc4966becd3e85b8c958d5", "input": "Problem: the average height of 20 students is 20 cm and the average height of 11 students is 20 cm . what is the average height of the 31 students ? \nOptions: a ) 40 cm , b ) 20 cm , c ) 30 cm , d ) 25 cm , e ) 35 cm", "output": [ "b" ] }, { "id": "task1420-4f2b0feac20748f5b79006f1a20e284c", "input": "Problem: a pupil ' s marks were wrongly entered as 73 instead of 65 . due to the average marks for the class got increased by half . the number of pupils in the class is ? \nOptions: a ) 18 , b ) 82 , c ) 16 , d ) 27 , e ) 29", "output": [ "c" ] }, { "id": "task1420-dfcbb5bea115461d94387900ae6db5ae", "input": "Problem: if money is invested at r percent interest , compounded annually , the amount of investment will double in approximately 70 / r years . if pat ' s parents invested $ 7000 in a long term bond that pays 8 percent interest , compounded annually , what will be the approximate total amount of investment 18 years later , when pat is ready for college ? \nOptions: a ) $ 28000 , b ) $ 15000 , c ) $ 12000 , d ) $ 10000 , e ) $ 9000", "output": [ "a" ] }, { "id": "task1420-49eac96633194cf69d2f2d943a95e4f9", "input": "Problem: in one year , the population , of a village increased by 10 % and in the next year , it decreased by 10 % . if at the end of 2 nd year , the population was 7920 , what was it in the beginning ? \nOptions: a ) 8008 , b ) 8000 , c ) 8022 , d ) 8021 , e ) 8022", "output": [ "b" ] }, { "id": "task1420-368b9521bdf146ea807ce780cd1a5c9c", "input": "Problem: a batsman makes a score of 83 runs in the 17 th inning and thus increases his averages by 3 . find his average after 17 th inning ? \nOptions: a ) 19 , b ) 29 , c ) 35 , d ) 49 , e ) 59", "output": [ "c" ] }, { "id": "task1420-5885d180215a475a84cecea66a1948d3", "input": "Problem: one - third of rahul ' s savings in national savings certificate is equal to one - half of his savings in public provident fund . if he has rs . 1 , 80,000 as total savings , how much has he saved in public provident fund ? \nOptions: a ) 81000 , b ) 85000 , c ) 75000 , d ) 72000 , e ) 77000", "output": [ "d" ] }, { "id": "task1420-1017c796321c48878ca8f09794391fb3", "input": "Problem: the average age of a , b and c is 29 years . if the average age of a and c is 32 years , what is the age of b in years ? \nOptions: a ) 19 , b ) 35 , c ) 20 , d ) 32 , e ) 23", "output": [ "e" ] }, { "id": "task1420-0df92d2250334b42ba797ff2462c9cd8", "input": "Problem: a = { 2 , 3 , 5 , 7 , 11 } b = { 2 , 4 , 6 , 19 } two integers will be randomly selected from sets a and b , one integer from set a and one from set b , and then multiplied together . how many different products can be obtained ? \nOptions: a ) 15 , b ) 16 , c ) 19 , d ) 24 , e ) 36", "output": [ "d" ] }, { "id": "task1420-b949934ed79d4aa2bf169bcf9f6c08f3", "input": "Problem: in a race where 12 cars are running , the chance that car x will win is 1 / 6 , that y will win is 1 / 10 and that z will win is 1 / 8 . assuming that a dead heat is impossible , find the chance that one of them will win . \nOptions: a ) 1 / 140 , b ) 1 / 180 , c ) 27 / 410 , d ) 47 / 120 , e ) 57 / 120", "output": [ "d" ] }, { "id": "task1420-fa0c0dd14f804c31b2aec2aa40940c11", "input": "Problem: how many integers from 0 to 44 , inclusive , have a remainder of 1 when divided by 3 ? \nOptions: a ) 13 , b ) 16 , c ) 17 , d ) 18 , e ) 19", "output": [ "a" ] }, { "id": "task1420-800b129ed40a409296bb39dc2a5023a8", "input": "Problem: lisa and robert have taken the same number of photos on their school trip . lisa has taken 3 times as many photos as claire and robert has taken 10 more photos than claire . how many photos has claire taken ? \nOptions: a ) 5 , b ) 8 , c ) 11 , d ) 12 , e ) 14", "output": [ "a" ] }, { "id": "task1420-fca8e6eddbc94e4d8cfe7eccea26d854", "input": "Problem: claire has a total of 80 pets consisting of gerbils and hamsters only . one - quarter of the gerbils are male , and one - third of the hamsters are male . if there are 25 males altogether , how many gerbils does claire have ? \nOptions: a ) 39 , b ) 50 , c ) 54 , d ) 57 , e ) 36", "output": [ "e" ] }, { "id": "task1420-d9d564c78ee24adba0c32619b8c155ca", "input": "Problem: if a = 105 and a ^ 3 = 21 * 25 * 315 * b , what is the value of b ? \nOptions: a ) 35 , b ) 7 , c ) 45 , d ) 49 , e ) 54", "output": [ "b" ] }, { "id": "task1420-2896bfc0c38741b196b87b5d9dd30742", "input": "Problem: a hat company ships its hats , individually wrapped , in 8 - inch by 10 - inch by 12 - inch boxes . each hat is valued at $ 6.0 . if the company ’ s latest order required a truck with at least 288,000 cubic inches of storage space in which to ship the hats in their boxes , what was the minimum value of the order ? \nOptions: a ) $ 960 , b ) $ 1,350 , c ) $ 1,725 , d ) $ 2,050 , e ) $ 1,800", "output": [ "e" ] }, { "id": "task1420-33f91d9c28d047848b9bbc6871f96832", "input": "Problem: solution x is 10 percent alcohol by volume , and solution y is 30 percent alcohol by volume . how many milliliters of solution y must be added to 300 milliliters of solution x to create a solution that is 25 percent alcohol by volume ? \nOptions: a ) 250 / 3 , b ) 500 / 3 , c ) 900 , d ) 480 , e ) 600", "output": [ "c" ] }, { "id": "task1420-cc9fc2d7e463459badbb2080e1cc0b35", "input": "Problem: if 4 < x < 8 < y < 12 , then what is the greatest possible positive integer difference of x and y ? \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "e" ] }, { "id": "task1420-9c6b9bac38b44312a6e071e118f82ef3", "input": "Problem: a factory producing tennis balls stores them in either big boxes , 25 balls per box , or small boxes , 20 balls per box . if 104 freshly manufactured balls are to be stored , what is the least number of balls that can be left unboxed ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "e" ] }, { "id": "task1420-dea30f07cc5f4a599fe5135bfda8f12a", "input": "Problem: of the families in city x in 1956 , 25 percent owned a personal computer . the number of families in city x owning a computer in 1960 was 15 percent greater than it was in 1956 , and the total number of families in city x was 5 percent greater in 1956 than it was in 1960 . what percent of the families in city x owned a personal computer in 1960 ? \nOptions: a ) 50 % , b ) 51.22 % , c ) 5.26 % , d ) 7.20 % , e ) 27.38 %", "output": [ "e" ] }, { "id": "task1420-96fe4612b7904f7f8ef43aaeb4f70174", "input": "Problem: jill has 42 gallons of water stored in quart , half - gallon , and one gallon jars . she has equal numbers of each size jar holding the liquid . what is the total number of water filled jars ? \nOptions: a ) 3 , b ) 6 , c ) 9 , d ) 72 , e ) 14", "output": [ "d" ] }, { "id": "task1420-e173540fdb034742a7ce092d49951197", "input": "Problem: if a is an integer greater than 2 but less than 11 and b is an integer greater than 11 but less than 21 , what is the range of a / b ? \nOptions: a ) 52 / 45 , b ) 23 / 47 , c ) 60 / 41 , d ) 51 / 42 , e ) 41 / 60", "output": [ "e" ] }, { "id": "task1420-5c686968cfa44c2ba8484d5641c83986", "input": "Problem: 18 times a positive integer is more than its square by 80 , then the positive integer is \nOptions: a ) 13 , b ) 10 , c ) 11 , d ) 12 , e ) 14", "output": [ "b" ] }, { "id": "task1420-7f806225b9f242f1b9c6323ee7077fa3", "input": "Problem: set a contains all the even numbers between 4 and 50 inclusive . set b contains all the even numbers between 104 and 150 inclusive . what is the difference between the sum of elements of set b and the sum of the elements of set a ? \nOptions: a ) 2400 , b ) 2550 , c ) 5050 , d ) 6275 , e ) 11325", "output": [ "a" ] }, { "id": "task1420-b2abea9580fd4059ad545d83a8cb0136", "input": "Problem: in a division sum , the quotient is 40 , the divisor 72 and the remainder 64 , find the dividend ? \nOptions: a ) 2674 , b ) 2944 , c ) 2464 , d ) 2924 , e ) 2994", "output": [ "b" ] }, { "id": "task1420-e5c8b3937dd84de69677cd359c2d255f", "input": "Problem: 0.002 x 0.6 = ? \nOptions: a ) 0.0012 , b ) 0.001 , c ) 0.01 , d ) 0.1 , e ) none of these", "output": [ "a" ] }, { "id": "task1420-1ac9bf493d764eb4bd5182316fe2198e", "input": "Problem: how many figures are required to number the pages the pages of a book containing 365 pages ? \nOptions: a ) 987 , b ) 977 , c ) 967 , d ) 897 , e ) 997", "output": [ "a" ] }, { "id": "task1420-2c84d7b1e3064477bb7548d3941122d2", "input": "Problem: 70 % of 300 + 25 % of 400 - ? = 256 \nOptions: a ) 48 , b ) 68 , c ) 54 , d ) 60 , e ) none of these", "output": [ "c" ] }, { "id": "task1420-ccdb62753e2242a7bd8a4396bd589658", "input": "Problem: if you write down all the numbers from 1 to 100 , then how many times do you write 3 ? \nOptions: a ) 11 , b ) 18 , c ) 20 , d ) 21 , e ) 22", "output": [ "c" ] }, { "id": "task1420-566c6df6b08146f4b1e96d1160c80eb3", "input": "Problem: when processing flower - nectar into honey bees ' extract , a considerable amount of water gets reduced . how much flower - nectar must be processed to yield 1 kg of honey , if nectar contains 50 % water , and the honey obtained from this nectar contains 15 % water ? \nOptions: a ) 1.2 kg , b ) 1.5 kg , c ) 1.7 kg , d ) 1.9 kg , e ) none of these", "output": [ "c" ] }, { "id": "task1420-11a2f2ef61cc4eb297292b7387224b88", "input": "Problem: a sum of money is to be divided among ann , bob and chloe . first , ann receives $ 4 plus one - half of what remains . next , bob receives $ 4 plus one - third of what remains . finally , chloe receives the remaining $ 32 . how much money r did bob receive ? \nOptions: a ) 20 , b ) 22 , c ) 24 , d ) 26 , e ) 52", "output": [ "b" ] }, { "id": "task1420-1ca30f19582a4c2090b531b2b9380a2d", "input": "Problem: if money is invested at r percent interest , compounded annually , the amount of the investment will double in approximately 24 / r years . if pat ' s parents invested $ 6,000 in a long - term bond that pays 8 percent interest , compounded annually , what will be the approximate total amount of the investment 18 years later , when pat is ready for college ? \nOptions: a ) $ 20000 , b ) $ 15000 , c ) $ 12000 , d ) $ 10000 , e ) $ 30000", "output": [ "e" ] }, { "id": "task1420-23d03852d3694b0c8c33b7d4518ffa4b", "input": "Problem: of the female students at barkely university , 3 / 5 are on the honor roll . of the male students , 2 / 5 are on the honor roll . if 5 / 9 of the students are female , what fraction of all the students are on the honor roll ? \nOptions: a ) 5 / 9 , b ) 3 / 15 , c ) 23 / 45 , d ) 43 / 60 , e ) 53 / 90", "output": [ "c" ] }, { "id": "task1420-550e90d1410a4be1941c0955265003c0", "input": "Problem: when the number 72 y 6139 is exactly divisible by 11 , then the smallest whole number that can replace y is ? \nOptions: a ) 1 , b ) 3 , c ) 5 , d ) 6 , e ) 9", "output": [ "d" ] }, { "id": "task1420-a9ec88af903c48c49bf2e173fdb8c02b", "input": "Problem: company c sells a line of 20 products with an average retail price of $ 1,200 . if none of these products sells for less than $ 400 , and exactly 10 of the products sell for less than $ 1,000 , what is the greatest possible selling price of the most expensive product ? \nOptions: a ) 12000 , b ) 11000 , c ) 10000 , d ) 13000 , e ) 15000", "output": [ "b" ] }, { "id": "task1420-84c2b1949f0745939ea65f66a96e0e03", "input": "Problem: arnold and danny are two twin brothers that are celebrating their birthday . the product of their ages today is smaller by 9 from the product of their ages a year from today . what is their age today ? \nOptions: a ) 2 . , b ) 4 . , c ) 5 . , d ) 7 , e ) 9 .", "output": [ "b" ] }, { "id": "task1420-8ae7026c11364e65876de7132ae598c1", "input": "Problem: the product of two numbers is 4107 . if the h . c . f of these numbers is 37 , then the greater number is ? \nOptions: a ) 377 , b ) 126 , c ) 111 , d ) 727 , e ) 121", "output": [ "c" ] }, { "id": "task1420-b4910e3ef93b4d1c895df1397e6f6b28", "input": "Problem: if the sum of two numbers is 24 and the sum of their squares is 404 , then the product of the numbers is \nOptions: a ) 40 , b ) 44 , c ) 80 , d ) 86 , e ) 90", "output": [ "d" ] }, { "id": "task1420-db2db7408a514b88bbd82b9649c89171", "input": "Problem: of the final grades received by the students in a certain math course , 1 / 5 are a ' s , 1 / 4 are b ' s , 1 / 2 are c ' s , and the remaining 5 grades are d ' s . what is the number of students in the course ? \nOptions: a ) 80 , b ) 110 , c ) 160 , d ) 100 , e ) 400", "output": [ "d" ] }, { "id": "task1420-401c5873a8624f2eaeea0ec4429ba379", "input": "Problem: a grocery shop has a sale of rs . 6535 , rs . 6927 , rs . 6855 , rs . 7230 and rs . 6562 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 6500 ? \nOptions: a ) 4857 , b ) 4184 , c ) 4012 , d ) 4891 , e ) 5291", "output": [ "d" ] }, { "id": "task1420-8fd743b9009d46bc83c25787a8673d95", "input": "Problem: the average marks of 10 students in a class is 100 . but a student mark is wrongly noted as 50 instead of 10 then find the correct average marks ? \nOptions: a ) a ) 78 , b ) b ) 82 , c ) c ) 96 , d ) d ) 91 , e ) e ) 85", "output": [ "c" ] }, { "id": "task1420-695fd86d783b41fb999011d3c87ccf99", "input": "Problem: when asked what the time is , a person answered that the amount of time left is 1 / 5 of the time already completed . what is the time . \nOptions: a ) 2 , b ) 9 , c ) 3 , d ) 8 , e ) 6", "output": [ "d" ] }, { "id": "task1420-c39d8b4261b74fd19ea434a9435e23de", "input": "Problem: a person saved $ 10 in buying an item on sale . if he spent $ 500 for the item , approximately how much percent he saved in the transaction ? \nOptions: a ) 8 % , b ) 10 % , c ) 2 % , d ) 5 % , e ) 6 %", "output": [ "c" ] }, { "id": "task1420-08bf4708698e4952b47d650843832e9f", "input": "Problem: circles x and y are concentric . if the radius of circle x is 6 times that of circle y , what is the probability that a point selected inside circle x at random will be outside circle y ? \nOptions: a ) 13 , b ) pi / 3 , c ) pi / 2 , d ) 35 / 36 , e ) 8 / 9", "output": [ "d" ] }, { "id": "task1420-6e1f320456ff4728b5d04ccb72730454", "input": "Problem: if a + b + c = 13 , then find the ab + bc + ca : \nOptions: a ) 22 , b ) 99 , c ) 50 , d ) 29 , e ) 11", "output": [ "c" ] }, { "id": "task1420-4ea74c3e9e174fc8ad9f055d35fe4527", "input": "Problem: a man can swim in still water at 12 km / h , but takes twice as long to swim upstream than downstream . the speed of the stream is ? \nOptions: a ) 1.7 , b ) 2.67 , c ) 1.2 , d ) 1.5 , e ) 4", "output": [ "e" ] }, { "id": "task1420-58f86eabb2484a378a39606a3f41073f", "input": "Problem: there are 11 teams in a certain league and each team plays each of the other teams exactly once . what is the total number of games played ? \nOptions: a ) 35 , b ) 45 , c ) 55 , d ) 65 , e ) 75", "output": [ "c" ] }, { "id": "task1420-1bccc58e349c4c7391672fbb3ed2c1d8", "input": "Problem: how many times digit 20 is used while writing numbers from 100 to 500 ? \nOptions: a ) 20 , b ) 30 , c ) 15 , d ) 25 , e ) 20", "output": [ "a" ] }, { "id": "task1420-dbdcb2b51cb8430181caf5e5a441d98c", "input": "Problem: a tank holds x gallons of a saltwater solution that is 20 % salt by volume . one fourth of the water is evaporated , leaving all of the salt . when 10 gallons of water and 20 gallons of salt are added , the resulting mixture is 33 1 / 3 % salt by volume . what is the value of x ? \nOptions: a ) 37.5 , b ) 75 , c ) 100 , d ) 150 , e ) 175", "output": [ "d" ] }, { "id": "task1420-a13c98694eab414ba8a30b6a5e28ccf8", "input": "Problem: a room is 6 meters 24 centimeters in length and 4 meters 32 centimeters in width . find the least number of square tiles of equal size required to cover the entire floor of the room . \nOptions: a ) 107 , b ) 117 , c ) 127 , d ) 137 , e ) 147", "output": [ "b" ] }, { "id": "task1420-0196b9175d5a4d9cacd789525d5effd2", "input": "Problem: an auto assembly plant performs 6 functions with each frame that arrives : add axles , add wheels to the axles , install the windshield to the frame , install the instrument panel , install the steering wheel , and install the interior seating . once those 6 tasks are performed , each car goes to a separate building for finishing touches . if these tasks can be arranged along a linear assembly line in any order , except that the axles must be installed before the wheels can be added , how many t ways can the assembly line be arranged ? \nOptions: a ) 120 , b ) 240 , c ) 360 , d ) 480 , e ) 720", "output": [ "c" ] }, { "id": "task1420-b6919808c5524e999153324f63e7da10", "input": "Problem: a rainstorm increased the amount of water stored in state j reservoirs from 50 billion gallons to 75 billion gallons . if the storm increased the amount of water in the reservoirs to 37.5 percent of total capacity , approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm ? \nOptions: a ) 90 , b ) 114 , c ) 124 , d ) 120 , e ) 127", "output": [ "e" ] }, { "id": "task1420-c8e733111eb249e59f6dd53867a0d123", "input": "Problem: if 4 a = 5 b and ab ≠ 0 , what is the ratio of a / 5 to b / 4 ? \nOptions: a ) 125 / 64 , b ) 25 / 16 , c ) 1 , d ) 4 / 5 , e ) 64 / 125", "output": [ "c" ] }, { "id": "task1420-cdedb09110ea4660b020fefd7548c596", "input": "Problem: 0.0015 ÷ ? = 0.003 \nOptions: a ) 0.05 , b ) 0.005 , c ) 0.5 , d ) 5 , e ) 50", "output": [ "c" ] }, { "id": "task1420-95dee413e4f34036aca63ee6528d4c53", "input": "Problem: farm tax is levied on the 50 % of the cultivated land . the tax department collected total $ 3840 through the farm tax from the village of mr . willam . mr . willam paid only $ 480 as farm tax . the percentage of total land of mr . willam over the total taxable land of the village is : \nOptions: a ) 15 % , b ) 25 % , c ) 0.125 % , d ) 0.2083 % , e ) none", "output": [ "b" ] }, { "id": "task1420-2f42bf5188ce4faaad3e0b7af61e661d", "input": "Problem: log root ( 8 ) / log 8 is equal to \nOptions: a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 4 , d ) 1 / 5 , e ) 1 / 6", "output": [ "a" ] }, { "id": "task1420-460aa84788f7460a938e10e68bae9575", "input": "Problem: if an organization were to sell n tickets for a theater production , the total revenue from ticket sales would be 20 percent greater than the total costs of the production . if the organization actually sold all but 5 percent of the n tickets , the total revenue from ticket sales was what percent greater than the total costs of the production ? \nOptions: a ) 4 % , b ) 10 % , c ) 14 % , d ) 15 % , e ) 18 %", "output": [ "c" ] }, { "id": "task1420-086c63fb5bad417b81f171558ea6a317", "input": "Problem: in a box of 6 pencils , a total of 2 are defective . if a customer buys 3 pencils selected at random from the box , what is the probability that neither pencils will be defective ? \nOptions: a ) 1 / 2 , b ) 1 / 5 , c ) 2 / 3 , d ) 2 / 5 , e ) 1 / 7", "output": [ "b" ] }, { "id": "task1420-f6fedcfe0f0c44378b64f78153cbed7d", "input": "Problem: when positive integer n is divided by 3 , the remainder is 2 . when n is divided by 6 , the remainder is 5 . how many values less than 100 can n take ? \nOptions: a ) 0 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "d" ] }, { "id": "task1420-7388375449a94dcebf179b15cb944fa2", "input": "Problem: in a can , there is a mixture of milk and water in the ratio 4 : 5 . if it is filled with an additional 4 litres of milk the can would be full and ratio of milk and water would become 6 : 5 . find the capacity of the can ? \nOptions: a ) 40 , b ) 44 , c ) 48 , d ) 22 , e ) none of these", "output": [ "d" ] }, { "id": "task1420-995344a5da6b477c850936537b40f337", "input": "Problem: ( 0.76 ) ( power 3 ) - ( 0.1 ) ( power 3 ) / ( 0.76 ) ( power 2 ) + 0.076 + ( 0.1 ) ( power 2 ) is : \nOptions: a ) 0.66 , b ) 0.68 , c ) 0.96 , d ) 0.69 , e ) 0.76", "output": [ "a" ] }, { "id": "task1420-92016d69780e4cb98c9f16a4952f1420", "input": "Problem: the unit digit in the product ( 115 * 297 * 196 * 108 ) is : \nOptions: a ) 2 , b ) 7 , c ) 6 , d ) 0 , e ) 8", "output": [ "d" ] }, { "id": "task1420-b2b8122dbae243e58569be205cd2311c", "input": "Problem: if ( 4 - x ) / ( 3 + x ) = x , what is the value of x ^ 2 + 4 x - 4 ? \nOptions: a ) - 4 , b ) - 1 , c ) 0 , d ) 1 , e ) 4", "output": [ "c" ] }, { "id": "task1420-71f92db07a9f4228a69ac60c5bb152ca", "input": "Problem: a certain lab experiments with white and brown mice only . in one experiment , 2 / 3 of the mice are white . if there are 12 brown mice in the experiment , how many mice in total are in the experiment ? \nOptions: a ) 39 , b ) 33 , c ) 26 , d ) 21 , e ) 36", "output": [ "e" ] }, { "id": "task1420-ffa8833ded43451bb69f256f3d1101e8", "input": "Problem: 1396 x 1396 \nOptions: a ) 1948816 , b ) 1981709 , c ) 18362619 , d ) 2031719 , e ) none of these", "output": [ "a" ] }, { "id": "task1420-61bcb0f074a5451aaf1e7fed80818ca7", "input": "Problem: a number when divided by 219 gives a remainder 32 , what remainder will be obtained by dividing the same number 12 ? \nOptions: a ) 7 , b ) 11 , c ) 9 , d ) 2 , e ) 3", "output": [ "b" ] }, { "id": "task1420-86d1507b15a84b9c972a2729a8736499", "input": "Problem: total 75 cows 25 cow gives each 2 liter milk 25 cow gives each 3 / 4 liter milk 25 cow gives each 1 / 4 liter milk this is split into 3 son per each 25 cows & 25 liter milk how ? \nOptions: a ) 10 , b ) 12 , c ) 15 , d ) 25 , e ) 18", "output": [ "d" ] }, { "id": "task1420-62a9b831340c41c59e086cfe2f510e4f", "input": "Problem: if the average ( arithmetic mean ) of x , x + 2 , and x + 4 is 63 , what is the value of x ? \nOptions: a ) 60 , b ) 62 , c ) 64 , d ) 61 , e ) 66", "output": [ "d" ] }, { "id": "task1420-1386d4640d6849b4bc2ec416bf451362", "input": "Problem: a drink vendor has 20 liters of maaza , 144 liters of pepsi and 368 liters of sprite . he wants to pack them in cans , so that each can contains the same number of liters of a drink , and does n ' t want to mix any two drinks in a can . what is the least number of cans required ? \nOptions: a ) 135 , b ) 137 , c ) 142 , d ) 130 , e ) 133", "output": [ "e" ] }, { "id": "task1420-061fa88aafa341a6a9deec0ad2198865", "input": "Problem: what is the total cost of 2 sandwiches at $ 1.49 each and 4 sodas at $ 0.87 each ? \nOptions: a ) $ 3.36 , b ) $ 6.46 , c ) $ 8.46 , d ) $ 10.08 , e ) $ 11.85", "output": [ "b" ] }, { "id": "task1420-26d05f381b9e47c49763c265c949b9f2", "input": "Problem: a bag contains 10 balls numbered from 0 to 9 . the balls are such that the person picking a ball out of the bag is equally likely to pick anyone of them . a person picked a ball and replaced it in the bag after noting its number . he repeated this process 2 more times . what is the probability that the ball picked first is numbered higher than the ball picked second and the ball picked second is numbered higher than the ball picked third ? \nOptions: a ) 72 / 100 , b ) 3 / 25 , c ) 4 / 5 , d ) 1 / 6 , e ) 1 / 9", "output": [ "b" ] }, { "id": "task1420-0856a00b127c4f6a8578971587e88885", "input": "Problem: if x < y < z and y - x > 5 , where x is an even integer and y and z are odd integers , what is the least possible value q of z - x ? \nOptions: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10", "output": [ "d" ] }, { "id": "task1420-b0399029556142939af295b1c4bf9270", "input": "Problem: the sum of two numbers is 45 . sum of their quotient and reciprocal is 2.05 , find the product of the numbers . \nOptions: a ) 339 , b ) 500 , c ) 288 , d ) 277 , e ) 112", "output": [ "b" ] }, { "id": "task1420-74f72a0306284f0a9779985f5ddeb47e", "input": "Problem: in a mixture 60 litres , the ratio of milk and water 2 : 1 . if this ratio is to be 1 : 2 , then the quanity of water to be further added is : \nOptions: a ) 20 , b ) 30 , c ) 40 , d ) 50 , e ) 60", "output": [ "e" ] }, { "id": "task1420-5035271eb6a646d4870838c0c135cdd7", "input": "Problem: how much is 80 % of 40 is greater than 2 / 5 of 25 ? \nOptions: a ) 22 , b ) 27 , c ) 18 , d ) 12 , e ) 81", "output": [ "a" ] }, { "id": "task1420-5306afea5f624c42a89dbe562262b468", "input": "Problem: what is the units digit of 33 ^ 2 * 17 ^ 3 * 49 ^ 3 ? \nOptions: a ) 1 , b ) 3 , c ) 5 , d ) 7 , e ) 9", "output": [ "b" ] }, { "id": "task1420-8f72c04d151c45ee9c80ee5f7e0695a5", "input": "Problem: find the principle on a certain sum of money at 5 % per annum for 2 2 / 5 years if the amount being rs . 1792 ? \nOptions: a ) 1600 , b ) 2777 , c ) 2889 , d ) 27670 , e ) 2771", "output": [ "a" ] }, { "id": "task1420-848ba79dc98a4d238743cfdd6ffdcde3", "input": "Problem: the average of 5 numbers is 27 . if one number is excluded the average become 25 . the excluded number is : \nOptions: a ) 25 , b ) 27 , c ) 30 , d ) 35 , e ) 37", "output": [ "d" ] }, { "id": "task1420-867f78126f464fcb953499eded98f214", "input": "Problem: if x and y are integers such that | y + 3 | ≤ 3 and 2 y – 3 x + 6 = 0 , what is the least possible value t of the product xy ? \nOptions: a ) - 12 , b ) - 3 , c ) 0 , d ) 2 , e ) none of the above", "output": [ "c" ] }, { "id": "task1420-798a3064ff8f4bddbb2d398adad1093f", "input": "Problem: of 3 numbers , the third is twice the second and the second is 4 times the first . if their average is 78 , the smallest of the 3 numbers is : \nOptions: a ) 18 , b ) 19 , c ) 20 , d ) 21 , e ) 22", "output": [ "a" ] }, { "id": "task1420-93a8b5c1c03642bb99115bb4b8e8d27a", "input": "Problem: for all positive integers m , [ m ] = 3 m when m is odd and [ m ] = ( 1 / 2 ) * m when m is even . what is [ 9 ] * [ 4 ] equivalent to ? \nOptions: a ) [ 108 ] , b ) [ 54 ] , c ) [ 36 ] , d ) [ 27 ] , e ) [ 18 ]", "output": [ "a" ] }, { "id": "task1420-f3f402b5990243d0ae9e5fb21b4ea9de", "input": "Problem: what is the smallest positive integer k such that the product of 1575 x k is a perfect square ? \nOptions: a ) 7 , b ) 9 , c ) 15 , d ) 25 , e ) 63", "output": [ "a" ] }, { "id": "task1420-408d71d7bb8e419cb0296247312553fe", "input": "Problem: balls of equal size are arranged in rows to form an equilateral triangle . the top most row consists of one ball , the 2 nd row of two balls and so on . if 424 balls are added , then all the balls can be arranged in the shape of square and each of the sides of the square contain 8 balls less than the each side of the triangle did . how many balls made up the triangle ? \nOptions: a ) 1176 , b ) 2209 , c ) 2878 , d ) 1210 , e ) 1560", "output": [ "a" ] }, { "id": "task1420-a32fbddc02554630a4657c4d0767b028", "input": "Problem: find the greatest number that will divide 256 , 193 and 210 leaving 6 , 18 and 100 as remainders respectively \nOptions: a ) 19 , b ) 25 , c ) 23 , d ) 20 , e ) 26", "output": [ "b" ] }, { "id": "task1420-1b9bf7e8a09d42a992f6af9d93c26964", "input": "Problem: bill is golfing with 3 friends and can either buy generic golf tees that are packaged by the dozen or the higher quality aero flight tees that come by the pair . what is the minimum number of packages of aero flight tees bill must purchase to ensure that he has at least 20 golf tees for each member of his foursome , if he will buy no more than 2 packages of the generic golf tees ? \nOptions: a ) 16 , b ) 10 , c ) 28 , d ) 4 , e ) 2", "output": [ "c" ] }, { "id": "task1420-882108abffaa4ee0b83371e7a889c148", "input": "Problem: 1.5 , 2.5 , 4.5 , 7.5 , 11.5 , ( . . . . ) \nOptions: a ) 16.5 , b ) 15.5 , c ) 14.5 , d ) 17.5 , e ) 17", "output": [ "a" ] }, { "id": "task1420-bbf761d2a804442fa6d0e9b666884719", "input": "Problem: a batch of cookies was divided amomg 6 tins : 2 / 3 of all the cookies were placed in either the blue or the green tin , and the rest were placed in the red tin . if 1 / 4 of all the cookies were placed in the blue tin , what fraction of the cookies that were placed in the other tins were placed in the green tin \nOptions: a ) 15 / 2 , b ) 9 / 4 , c ) 5 / 9 , d ) 5 / 7 , e ) 9 / 7", "output": [ "d" ] }, { "id": "task1420-a19db104e83844a7a9c705ee0568d033", "input": "Problem: the least number which when divided by 4 , 6 , 7 and 8 leaves a remainder 6 , but when divided by 9 leaves no remainder , is \nOptions: a ) 340 , b ) 342 , c ) 523 , d ) 363 , e ) none of these", "output": [ "b" ] }, { "id": "task1420-963c6150d5b440028b77324ba6707552", "input": "Problem: the average height of 35 boys in a class was calculated as 184 cm . it has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm . find the actual average height of the boys in the class ( round off your answer to two decimal places ? \nOptions: a ) 187.89 cm , b ) 182.29 cm , c ) 123.98 cm , d ) 149.98 cm , e ) 146.89 cm", "output": [ "b" ] }, { "id": "task1420-b1ec09c6f8ad48f3a4a4aa4f34c6b1b3", "input": "Problem: for any number z , z * is defined as the greatest positive even integer less than or equal to z . what is the value of 5.2 – 5.2 * ? \nOptions: a ) 0.2 , b ) 1.2 , c ) 1.8 , d ) 2.2 , e ) 4.0", "output": [ "b" ] }, { "id": "task1420-ea572e60ba764bbfab6adf9c4ef9e250", "input": "Problem: a whale goes on a feeding frenzy that lasts for 12 hours . for the first hour he catches and eats 30 kilos of plankton . in every hour after the first , it consumes 2 kilos of plankton more than it consumed in the previous hour . if by the end of the frenzy the whale will have consumed a whopping accumulated total 600 kilos of plankton , how many kilos did he consume on the 10 th hour ? \nOptions: a ) 36 , b ) 45 , c ) 28 , d ) 48 , e ) 52", "output": [ "d" ] }, { "id": "task1420-44a96733ded64ba3a13f0a219c39d1fc", "input": "Problem: - 64 * 29 + 468 = ? \nOptions: a ) 1430 , b ) 1302 , c ) - 2801 , d ) - 1388 , e ) none of these", "output": [ "d" ] }, { "id": "task1420-d2a91704989845b29678258ca8d36d26", "input": "Problem: a man is 18 years older than his son . in eight years , his age will be twice the age of his son . the present age of this son is \nOptions: a ) 5 years , b ) 10 years , c ) 15 years , d ) 20 years , e ) 25 years", "output": [ "b" ] }, { "id": "task1420-c4c2bd0ff3a546d3842bcd5c9952aad9", "input": "Problem: if a * b = 2 a – 3 b + ab , then 5 * 7 + 7 * 5 is equal to : \nOptions: a ) 34 , b ) 18 , c ) 72 , d ) 78 , e ) 82", "output": [ "a" ] }, { "id": "task1420-d52f8c0e37ec467d9eec1d241841507a", "input": "Problem: ram - leela has $ 100 in her piggy bank . how much will she have in her bank 52 weeks from now if she puts $ 1 in the bank next week , $ 2 two weeks from now , $ 3 3 weeks from now , and continues to increase the amount that she puts in by $ 1 each week ? \nOptions: a ) 1478 , b ) 1578 , c ) 1678 , d ) 1778 , e ) 1798", "output": [ "a" ] }, { "id": "task1420-4cd7d681d83a424e9a9dc1a3e2a18db2", "input": "Problem: on average , the bottle - nosed dolphin comes up for air once every 3 minutes ; the beluga whale , a close relative , comes up for air on average once every 6 minutes . the number of times a bottle - nosed dolphin would come up for air in a 24 hour period is approximately what percent greater than the number of times a beluga whale would come up for air in that same period ? \nOptions: a ) 25 % , b ) 50 % , c ) 75 % , d ) 100 % , e ) 150 %", "output": [ "e" ] }, { "id": "task1420-3d8596532dca40dba97265be7d39f5ad", "input": "Problem: evaluate : 1222343 - 12 * 3 * 2 = ? \nOptions: a ) 122336 , b ) 145456 , c ) 122347 , d ) 126666 , e ) 383838", "output": [ "a" ] }, { "id": "task1420-a4f90e3288c64fa5a85f83f9b42c1cdd", "input": "Problem: an auto assembly plant performs 6 functions with each frame that arrives : add axles , add wheels to the axles , install the windshield to the frame , install the instrument panel , install the steering wheel , and install the interior seating . once those 6 tasks are performed , each car goes to a separate building for finishing touches . if these tasks can be arranged along a linear assembly line in any order , except that the axles must be installed before the wheels can be added , how many y ways can the assembly line be arranged ? \nOptions: a ) 120 , b ) 240 , c ) 360 , d ) 480 , e ) 720", "output": [ "c" ] }, { "id": "task1420-0d1fffbf13c04f1780844f3d51672aa9", "input": "Problem: of the 720 students at a certain university , 25 percent are seniors . if x seniors were to graduate early and leave the university and no additional students entered or left the university , what value of x would reduce the number of seniors at the university to 20 percent ? \nOptions: a ) 30 , b ) 36 , c ) 42 , d ) 45 , e ) 48", "output": [ "d" ] }, { "id": "task1420-07e798a35c5b4c099375167e5dc229f6", "input": "Problem: a jar of 220 marbles is divided equally among a group of marble - players today . if 2 people joined the group in the future , each person would receive 1 marble less . how many people are there in the group today ? \nOptions: a ) 20 , b ) 21 , c ) 22 , d ) 23 , e ) 24", "output": [ "a" ] }, { "id": "task1420-4de7d61330fe4544bc819140d172eedd", "input": "Problem: if 638521 is to be divisible by 5 , what is the least whole number that should be added to ? \nOptions: a ) 8 , b ) 7 , c ) 5 , d ) 4 , e ) 3", "output": [ "d" ] }, { "id": "task1420-51a2d4f3ed7342e0a60eecb88f268d85", "input": "Problem: find the total number of prime factors in the expression ( 4 ) ^ 11 x ( 7 ) ^ 5 x ( 11 ) ^ 3 \nOptions: a ) 26 , b ) 22 , c ) 25 , d ) 30 , e ) 29", "output": [ "d" ] }, { "id": "task1420-638fc39c15e144168074ce5f86b329d8", "input": "Problem: jar x is 1 / 2 full of water . jar y , which has half the capacity of jar x , is 1 / 4 full of water . if the water in jar y is poured into jar x , then jar x will be filled to what fraction of its capacity ? \nOptions: a ) 3 / 4 , b ) 5 / 8 , c ) 7 / 8 , d ) 5 / 12 , e ) 7 / 12", "output": [ "b" ] }, { "id": "task1420-9ed97bd2f4644f5fa6c7fb52cc012582", "input": "Problem: the number of boxes in a warehouse can be divided evenly into 9 equal shipments by boat or 24 equal shipments by truck . what is the smallest number of boxes that could be in the warehouse ? \nOptions: a ) 27 , b ) 33 , c ) 72 , d ) 81 , e ) 162", "output": [ "c" ] }, { "id": "task1420-bc844a929a844100b8f74cfaa168dfb8", "input": "Problem: the captain of a cricket team of 11 members is 25 years old and the wicket keeper is 3 years older . if the ages of these two are excluded , the average age of the remaining players is one year less than the average age of the whole team . what is the average age of the team ? \nOptions: a ) 20 years , b ) 21 years , c ) 22 years , d ) 23 years , e ) 24 years", "output": [ "c" ] }, { "id": "task1420-ec082b7681f344f6a939af5acd2e8fa9", "input": "Problem: a , b , and c are integers and a < b < c . s is the set of all integers from a to b , inclusive . q is the set of all integers from b to c , inclusive . the median of set s is ( 3 / 4 ) * b . the median of set q is ( 5 / 8 ) * c . if r is the set of all integers from a to c , inclusive , what fraction of c is the median of set r ? \nOptions: a ) 3 / 8 , b ) 1 / 2 , c ) 9 / 16 , d ) 5 / 7 , e ) 3 / 4", "output": [ "c" ] }, { "id": "task1420-5633f45b558e4bf890565491bf83b2d2", "input": "Problem: if a = 105 and a ^ 3 = 21 * 25 * 35 * b , what is the value of b ? \nOptions: a ) 35 , b ) 42 , c ) 45 , d ) 49 , e ) 63", "output": [ "e" ] }, { "id": "task1420-6d96b5bba32c4b3192f9b37e5d47cdf8", "input": "Problem: if 4 ( p ' s capital ) = 6 ( q ' s capital ) = 10 ( r ' s capital ) , then out of the total profit of rs 4030 , r will receive \nOptions: a ) 600 , b ) 780 , c ) 800 , d ) 900 , e ) none of these", "output": [ "b" ] }, { "id": "task1420-e4d225306aa244acb140c1ba1305cb03", "input": "Problem: at a restaurant , glasses are stored in two different - sized boxes . one box contains 12 glasses , and the other contains 16 glasses . if the average number of glasses per box is 15 , and there are 16 more of the larger boxes , what is the total number of glasses w at the restaurant ? ( assume that all boxes are filled to capacity . ) \nOptions: a ) 96 , b ) 240 , c ) w = 256 , d ) w = 384 , e ) w = 480", "output": [ "e" ] }, { "id": "task1420-8a98688ccc7445b8baf41b70b3c6b2d2", "input": "Problem: for a certain art exhibit , a museum sold admission tickets to a group of 30 people every 5 minutes from 9 : 00 in the morning to 5 : 55 in the afternoon , inclusive . the price of a regular admission ticket was $ 10 and the price of a student ticket was $ 5 . if on one day 3 times as many regular admission tickets were sold as student tickets , what was the total revenue from ticket sales that day ? \nOptions: a ) $ 24960 , b ) $ 25920 , c ) $ 28080 , d ) $ 28350 , e ) $ 29160", "output": [ "d" ] }, { "id": "task1420-02f7e480cc554081a24d0cb2d4e2ca65", "input": "Problem: in a can , there is a mixture of milk and water in the ratio 4 : 5 . if it is filled with an additional 10 litres of milk the can would be full and ratio of milk and water would become 6 : 5 . find the capacity of the can ? \nOptions: a ) 40 , b ) 44 , c ) 48 , d ) 55 , e ) none of these", "output": [ "d" ] }, { "id": "task1420-d7b02b230b1f4c7fb4491a8f051aefc3", "input": "Problem: the product of two successive numbers is 7832 . which is the smaller of the two numbers ? \nOptions: a ) 78 , b ) 68 , c ) 88 , d ) 97 , e ) 37", "output": [ "c" ] }, { "id": "task1420-2aa7917afbf64d92950f2a860fdcd873", "input": "Problem: how many positive 3 - digit integers are divisible by both 3 and 7 ? \nOptions: a ) 43 , b ) 45 , c ) 47 , d ) 50 , e ) 52", "output": [ "a" ] }, { "id": "task1420-006cc9c16cc84c7c9888e225592487bf", "input": "Problem: the difference between the heights of two trees is 20 cm . 10 years ago , the taller one was thrice as taller as the shorter one . the present height of the taller tree is \nOptions: a ) 300 cm , b ) 15 cm , c ) 20 cm , d ) 10 cm , e ) 40 cm", "output": [ "a" ] }, { "id": "task1420-0cd0ed6b5d7347beb4725c9640718dfb", "input": "Problem: in smithtown , the ratio of right - handed people to left - handed people is 3 to 1 and the ratio of men to women is 3 to 2 . if the number of right - handed men is maximized , then what z percent of all the people in smithtown are left - handed women ? \nOptions: a ) 50 % , b ) 40 % , c ) 25 % , d ) 20 % , e ) 10 %", "output": [ "c" ] }, { "id": "task1420-da2e986b316e424aa3aa1879dd086bda", "input": "Problem: if a number n is chosen at random from the set of two - digit integers whose digits are both prime numbers , what is the probability w that n is divisible by 3 ? \nOptions: a ) 1 / 3 , b ) ¼ , c ) 9 / 25 , d ) 5 / 16 , e ) 0", "output": [ "d" ] }, { "id": "task1420-8b50cfe0f0e94670932245ea6a51d54d", "input": "Problem: 32.32 / 2000 is equal to : \nOptions: a ) 1.012526 , b ) 0.012625 , c ) 0.12526 , d ) 0.01616 , e ) 0.12725", "output": [ "d" ] }, { "id": "task1420-d7ad91cc7c3c45c09a1cd36b9849afbd", "input": "Problem: if n = 7 ^ 11 – 7 , what is the units digit of n ? \nOptions: a ) 0 , b ) 1 , c ) 4 , d ) 6 , e ) 8", "output": [ "d" ] }, { "id": "task1420-9023010255104dbc838ee5c456075ef1", "input": "Problem: during a certain two - week period , 58 percent of the movies rented from a video store were comedies , and of the remaining movies rented , there were 5 times as many dramas as action movies . if no other movies were rented during that two - week period and there were a action movies rented , then how many comedies , in terms of a , were rented during that two - week period ? \nOptions: a ) 10 a , b ) 9 a , c ) 8 2 / 3 a , d ) 11 a , e ) 12 a", "output": [ "c" ] }, { "id": "task1420-b5b5f96fb05e441a8d45e83b91758f12", "input": "Problem: how many positive integers less than 15 can be expressed as the sum of a positive multiple of 2 and a positive multiple of 3 ? \nOptions: a ) 14 , b ) 13 , c ) 12 , d ) 8 , e ) 10", "output": [ "d" ] }, { "id": "task1420-1fd175cb5c314a78ae8da0dd9a2a8077", "input": "Problem: if x is an integer and 2.134 × 10 ^ x is less than 2 , 200,000 , what is the greatest possible value for x ? \nOptions: a ) 7 , b ) 6 , c ) 5 , d ) 4 , e ) 3", "output": [ "b" ] }, { "id": "task1420-2d7179681c2e419287f2878b7d149363", "input": "Problem: the cricket team of 11 members is 25 yrs old & the wicket keeper is 3 yrs older . if the ages ofthese 2 are excluded , the average age of theremaining players is 1 year less than the average age of the whole team . what is the average age of the team ? \nOptions: a ) 21 , b ) 22 , c ) 23 , d ) 25 , e ) 28", "output": [ "b" ] }, { "id": "task1420-f7150c150b62491c9aa49ccd43e5ef7a", "input": "Problem: if 12 : 8 : : x : 16 , then find the value of x \nOptions: a ) 18 , b ) 24 , c ) 28 , d ) 16 , e ) 20", "output": [ "b" ] }, { "id": "task1420-9b96c8a60b63430eb6961af5993edfa2", "input": "Problem: after 6 games , team b had an average of 70 points per game . if it got only 47 points in game 7 , how many more points does it need to score to get its total above 500 ? \nOptions: a ) 85 , b ) 74 , c ) 67 , d ) 33 , e ) 28", "output": [ "d" ] }, { "id": "task1420-02ca940a00094be1b2487f3f37e0d9e7", "input": "Problem: the captain of a cricket team of 11 members is 29 years old and the wicket keeper is 3 years older . if the ages of these two are excluded , the average age of the remaining players is one year less than the average age of the whole team . what is the average age of the team ? \nOptions: a ) 20 years , b ) 21 years , c ) 22 years , d ) 23 years , e ) 26 years", "output": [ "e" ] }, { "id": "task1420-ba04aa3888944290931bd183d834cbc0", "input": "Problem: the value of x . 320 ã · 2 ã · 3 = x \nOptions: a ) 53.33 , b ) 46.33 , c ) 15.36 , d ) 15.45 , e ) 15.48", "output": [ "a" ] }, { "id": "task1420-89d7e4057a8b4dcb95c81b37e203939b", "input": "Problem: 1804 x 1804 = ? \nOptions: a ) a ) 3254416 , b ) b ) 3624216 , c ) c ) 3624316 , d ) d ) 3625116 , e ) e ) 3625216", "output": [ "a" ] }, { "id": "task1420-5ef2129cdaf646acba9255503af19f08", "input": "Problem: set v consists of integers { 3 , - 8 , y , 19 , - 6 } and set b consists of integers { k , - 3 , 0 , 16 , - 5 , 9 } . number l represents the median of set v , number m represents mode of set b and number z = l ^ m . if y is an integer greater than 21 , for what value of k will z be a divisor of 26 ? \nOptions: a ) - 2 , b ) - 1 , c ) 0 , d ) 1 , e ) 2", "output": [ "c" ] }, { "id": "task1420-55db83b5890e41018d35a6b9a9943655", "input": "Problem: if two integers x , y ( x > y ) are selected from - 5 to 6 ( inclusive ) , how many cases are there ? \nOptions: a ) 62 , b ) 66 , c ) 70 , d ) 74 , e ) 78", "output": [ "b" ] }, { "id": "task1420-57e8574b5b8a47b5a5c7b3a7ffb53f5c", "input": "Problem: how many numbers from 10 to 50 are exactly divisible by 9 ? \nOptions: a ) 9 , b ) 10 , c ) 11 , d ) 12 , e ) 14", "output": [ "e" ] }, { "id": "task1420-87534dd483864011992b869791ff928f", "input": "Problem: village p ’ s population is 1150 greater than village q ' s population . if village q ’ s population were reduced by 200 people , then village p ’ s population would be 4 times as large as village q ' s population . what is village q ' s current population ? \nOptions: a ) 600 , b ) 625 , c ) 650 , d ) 675 , e ) 700", "output": [ "c" ] }, { "id": "task1420-851bf34d983e4de9927775bff73c8c5c", "input": "Problem: if the least common addition of two prime numbers x and y is 10 , where x > y , then the value of 2 x + y is \nOptions: a ) 7 , b ) 9 , c ) 14 , d ) 17 , e ) 21", "output": [ "d" ] }, { "id": "task1420-8dab15feae8e4b9a9d3c2171b1dcc724", "input": "Problem: the average of 10 numbers was calculated as 20 . it is discovered later on that while calculating the average , one number , namely 86 , was incorrectly read as 26 . what is the correct average ? \nOptions: a ) 22 , b ) 23 , c ) 24 , d ) 25 , e ) 26", "output": [ "e" ] }, { "id": "task1420-b57492d0993b483a8f991481d10b0daf", "input": "Problem: a cyclist rides a bicycle 8 km at an average speed of 11 km / hr and again travels 11 km at an average speed of 8 km / hr . what is the average speed for the entire trip ? \nOptions: a ) 8.58 , b ) 8.76 , c ) 9.04 , d ) 9.12 , e ) 9.25", "output": [ "c" ] }, { "id": "task1420-6c31cf480b914dddaf76b8da237c9445", "input": "Problem: 3 x + y = 21 , and x + 3 y = 1 . find the value of 2 x + 2 y \nOptions: a ) 20 , b ) 18 , c ) 16 , d ) 11 , e ) 5", "output": [ "d" ] }, { "id": "task1420-38a0f8cf0a9344818f92cee2377baf91", "input": "Problem: the average of 10 numbers is calculated as 16 . it is discovered later on that while calculating the average , the number 45 was incorrectly read as 25 , and this incorrect number was used in the calculation . what is the correct average ? \nOptions: a ) 17 , b ) 18 , c ) 22 , d ) 26 , e ) 36", "output": [ "b" ] }, { "id": "task1420-66574a59f9ec4ea9af08b83e964be89e", "input": "Problem: the maximum number of students among them 640 pens and 520 pencils can be distributed in such a way that each student get the same number of pens and same number of pencils ? \nOptions: a ) 40 , b ) 45 , c ) 50 , d ) 55 , e ) 60", "output": [ "a" ] }, { "id": "task1420-12eef5d41e14461ba5e4e10cfe17edda", "input": "Problem: the largest natural number by which the product of 3 consecutive even natural numbers is always divisible , is \nOptions: a ) 16 , b ) 24 , c ) 48 , d ) 96 , e ) 78", "output": [ "c" ] }, { "id": "task1420-fb0bad4825714e08be843fff575c6e71", "input": "Problem: a bag contains an equal number of one rupee , 50 paise and 25 paise coins respectively . if the total value is 70 , how many coins of each type are there ? \nOptions: a ) 20 coins , b ) 30 coins , c ) 40 coins , d ) 25 coins , e ) none of these", "output": [ "c" ] }, { "id": "task1420-e21679f1b80e46e1aa66717b85274627", "input": "Problem: find the product of the localvalue and absolutevalue of 3 in 20368 ? \nOptions: a ) 1000 , b ) 1100 , c ) 1200 , d ) 900 , e ) 10000", "output": [ "d" ] }, { "id": "task1420-899f7aa9064d4de98d9be9aee58b6e6b", "input": "Problem: find the average of all prime numbers between 80 and 100 \nOptions: a ) 88 , b ) 60 , c ) 80 , d ) 89.6 , e ) 92", "output": [ "d" ] }, { "id": "task1420-8f731c44c2354c629cb63b60f23c4ced", "input": "Problem: a canoe has two oars , left and right . each oar either works or breaks . the failure or non - failure of each oar is independent of the failure or non - failure of the other . you can still row the canoe with one oar . the probability that the left oar works is 3 / 5 . the probability that the right oar works is also 3 / 5 . what is the probability y that you can still row the canoe ? \nOptions: a ) 9 / 25 , b ) 10 / 25 , c ) 6 / 10 , d ) 2 / 3 , e ) 21 / 25", "output": [ "e" ] }, { "id": "task1420-04f3b28c450241fa93f3665839d2cf94", "input": "Problem: when jessica withdrew $ 200 from her bank account , her account balance decreased by 2 / 5 . if she deposits an amount equal to 2 / 3 of the remaining balance , what will be the final balance in her bank account ? \nOptions: a ) 300 , b ) 375 , c ) 400 , d ) 500 , e ) 575", "output": [ "d" ] }, { "id": "task1420-6e8e427b20ad4676890b765203fb7657", "input": "Problem: a store owner estimates that the average price of type a products will increase by 25 % next year and that the price of type b products will increase by 10 % next year . this year , the total amount paid for type a products was $ 4500 and the total price paid for type b products was $ 8300 . according to the store owner ' s estimate , and assuming the number of products purchased next year remains the same as that of this year , how much will be spent for both products next year ? \nOptions: a ) $ 14,755 , b ) $ 15,325 , c ) $ 16,000 , d ) $ 16,225 , e ) $ 17,155", "output": [ "a" ] }, { "id": "task1420-bd8ddd8fe84a477492a41bc9570b1803", "input": "Problem: the heights of 3 individuals are in the ratio 4 : 5 : 6 . if the sum of the heights of the heaviest and the lightest boy is 150 cm more than the height of the third boy , what is the weight of the lightest boy ? \nOptions: a ) 120 cm , b ) 150 cm , c ) 160 cm , d ) 190 cm , e ) of these", "output": [ "a" ] }, { "id": "task1420-bf8663628d554ee9bf32ef94eeade70a", "input": "Problem: a box contains 12 pairs of shoes ( 24 shoes in total ) . if two shoes are selected at random , what it is the probability that they are matching shoes ? \nOptions: a ) 1 / 190 , b ) 1 / 23 , c ) 1 / 19 , d ) 1 / 10 , e ) 1 / 9", "output": [ "b" ] }, { "id": "task1420-d3238be34ab345c1968407491eb08903", "input": "Problem: a man goes into a barbershop and gets a $ 15 haircut . he pays the barber with a $ 20 bill , but the barber does n ' t have change because it is an especially slow day . the barber goes to the flower shop next to his own and trades the $ 20 bill for a $ 10 dollar bill and two $ 5 bills . then he gives the man his $ 5 in change . later the lady from the flower shop confronts the barber and tells him that the $ 20 bill he gave her was counterfeit . the barber agrees and he gives the lady a different $ 20 bill . later that day he tries to figure out how much money he lost . what did he lose ? \nOptions: a ) $ 5 , b ) $ 10 , c ) $ 12 , d ) $ 15 , e ) $ 20", "output": [ "a" ] }, { "id": "task1420-b3553c6b2c3142f4bef9a278017a875c", "input": "Problem: the average mark obtained by 22 candidates in an examination is 48 . the average of the first 10 is 55 while the last 11 is 40 . the marks obtained by the 11 th candidate is ? \nOptions: a ) 22 , b ) 0 , c ) 49 , d ) 58 , e ) 66", "output": [ "e" ] }, { "id": "task1420-d04f424d5ea54b6e848e267054100dd9", "input": "Problem: a no . when divided by the sum of 555 and 445 gives 2 times their difference as quotient & 50 as remainder . find the no . is ? \nOptions: a ) 145646 , b ) 236578 , c ) 645353 , d ) 456546 , e ) 220050", "output": [ "e" ] }, { "id": "task1420-2de147fe2f9c47e398eb89c13acfa278", "input": "Problem: find the largest 6 digit number which is exactly divisible by 88 ? \nOptions: a ) 998765 , b ) 998907 , c ) 999944 , d ) 999954 , e ) 999990", "output": [ "c" ] }, { "id": "task1420-14b46db8a71a438da74cc5fe0564240c", "input": "Problem: one day a car rental agency rented 2 / 3 of its cars , including 3 / 5 of its cars with cd players . if 3 / 5 of its cars have cd players , what percent of the cars that were not rented had cd players ? \nOptions: a ) 18 / 25 , b ) 17 / 20 , c ) 11 / 15 , d ) 7 / 10 , e ) 3 / 5", "output": [ "a" ] }, { "id": "task1420-47510fd732c941a9839107462c6a8f65", "input": "Problem: if a no . when divided by 44 , gives 432 as quotient and 0 as remainder . what will be the remainder when dividing the same no . by 39 \nOptions: a ) 11 , b ) 13 , c ) 15 , d ) 17 , e ) 19", "output": [ "c" ] }, { "id": "task1420-ee31d37122bc42cfb46e4925373a3284", "input": "Problem: a bakery has 6 employees . it pays annual salaries of $ 18,000 to each of 2 employees , $ 20,000 to 1 employee , and $ 21,000 to each of the remaining 3 employees . which number is closest to the average ( arithmetic mean ) annual salary of these employees ? \nOptions: a ) $ 19,200 , b ) $ 19,500 , c ) $ 19,800 , d ) $ 20,000 , e ) $ 20,400", "output": [ "c" ] }, { "id": "task1420-79bffafacd1d434dbae76bbe7ba96352", "input": "Problem: for every even positive integer m , f ( m ) represents the product of all even integers from 2 to m , inclusive . for example , f ( 12 ) = 2 x 4 x 6 x 8 x 10 x 12 . what is the greatest prime factor of f ( 26 ) ? \nOptions: a ) 23 , b ) 19 , c ) 17 , d ) 13 , e ) 11", "output": [ "d" ] }, { "id": "task1420-4089216f33bd44808a1b460c43fed1e3", "input": "Problem: a number x is multiplied with itself and then added to the product of 4 and x . if the result of these two operations is - 3 , what is the value of x ? \nOptions: a ) - 4 , b ) - 1 and - 3 , c ) 2 , d ) 4 , e ) can not be determined .", "output": [ "b" ] }, { "id": "task1420-a8f30dd69da64c308d19762a85057fe9", "input": "Problem: find large number from below question the difference of two numbers is 1200 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder \nOptions: a ) 1437 , b ) 1250 , c ) 1540 , d ) 1600 , e ) 1635", "output": [ "a" ] }, { "id": "task1420-7a2de5bc01604ebf811979ee76310ba2", "input": "Problem: tough and tricky questions : number properties . if ( z + 3 ) / 9 is an integer , what is remainder when z is divided by 9 ? \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6", "output": [ "e" ] }, { "id": "task1420-c806c51241df48f887c56fa49fa85350", "input": "Problem: lagaan is levied on the 60 percent of the cultivated land . the revenue department collected total rs . 3 , 44,000 through the lagaan from the village of mutter . mutter , a very rich farmer , paid only rs . 480 as lagaan . the percentage of total land of mutter over the total taxable land of the village is : \nOptions: a ) 0.23255 , b ) 0.14544 , c ) 0.25632 , d ) 0.35466 , e ) 0.63435", "output": [ "a" ] }, { "id": "task1420-6dc9152513aa4d4c9d3c55599de522ef", "input": "Problem: if ( t - 8 ) is a factor of t ^ 2 - kt - 47 , then k = \nOptions: a ) 16 , b ) 12 , c ) 2 , d ) 6 , e ) 14", "output": [ "d" ] }, { "id": "task1420-09c9737b8dc84cb6b2c9e2abf224e7da", "input": "Problem: if w is 40 percent less than x , x is 40 percent less than y , and z is 46 percent less than y , then z is greater than w by what percent of w ? \nOptions: a ) 4 % , b ) 18 % , c ) 36 % , d ) 40 % , e ) 50 %", "output": [ "e" ] }, { "id": "task1420-cdb9b6e3ecd24686bc4f20e7e4ad56af", "input": "Problem: in a mixed college 160 students are there in one class . out of this 160 students 5 / 8 students are girls . how many boys are there ? \nOptions: a ) a ) 40 , b ) b ) 60 , c ) c ) 80 , d ) d ) 120 , e ) e ) 140", "output": [ "b" ] }, { "id": "task1420-99dcf286444647bc94c0c63c26a1740f", "input": "Problem: how many multiples of 2 are there between 1 and 50 , exclusive ? \nOptions: a ) 21 , b ) 22 , c ) 24 , d ) 26 , e ) 28", "output": [ "c" ] }, { "id": "task1420-37d2775cdd504797abc1e07f661caf4f", "input": "Problem: the difference between the place value and the face value of 6 in the numerical 856973 is \nOptions: a ) 973 , b ) 6973 , c ) 5994 , d ) 9554 , e ) none of them", "output": [ "c" ] }, { "id": "task1420-e4ebdc6d57404fd6a661c6928be67b59", "input": "Problem: what is the remainder when 3 ^ 26 is divided by 5 ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4", "output": [ "e" ] }, { "id": "task1420-c177a6658f274e2c9c22fa35a96d436f", "input": "Problem: ifaequals the sum of the even integers from 2 to 60 , inclusive , andbequals the sum of the odd integers from 1 to 59 , inclusive , what is the value of a - b ? \nOptions: a ) 1 , b ) 10 , c ) 30 , d ) 20 , e ) 21", "output": [ "c" ] }, { "id": "task1420-2e7f0cf6e3ad407e89ce35af8cca4959", "input": "Problem: if 7800 / 3.25 = 2400 , then 780.0 / 32.5 is equal to ? \nOptions: a ) 21 , b ) 28 , c ) 26 , d ) 25 , e ) 24", "output": [ "e" ] }, { "id": "task1420-f7aeb123302547ffa20a10a29997bd0e", "input": "Problem: if x and y are integers , what is the least positive number of 24 x + 9 y ? \nOptions: a ) 1 , b ) 3 , c ) 4 , d ) 6 , e ) 9", "output": [ "b" ] }, { "id": "task1420-0703ca2a3c574f8e86c4ced30aa849a2", "input": "Problem: 8.036 divided by 0.04 gives : \nOptions: a ) 200.9 , b ) 2.06 , c ) 20.06 , d ) 100.9 , e ) 200.6", "output": [ "a" ] }, { "id": "task1420-894ec34ebbf1492c9a9f99169c8e6e4b", "input": "Problem: two employees x and y are paid a total of rs . 572 per week by their employer . if x is paid 120 percent of the sum paid to y , how much is y paid per week ? \nOptions: a ) s . 250 , b ) s . 280 , c ) s . 290 , d ) s . 260 , e ) s . 300", "output": [ "d" ] }, { "id": "task1420-d46efa0d16f04a9797ddc808715ce156", "input": "Problem: 25.25 / 3000 is equal to : \nOptions: a ) 0.008416667 , b ) 0.110773333 , c ) 0.12526234 , d ) 0.01072333 , e ) 0.12725002", "output": [ "a" ] }, { "id": "task1420-f621877b24de41f5b01ce138a8219ea1", "input": "Problem: what least no . must be subtracted from 10154 so that remaining no . is divisible by 30 ? \nOptions: a ) 10 , b ) 12 , c ) 14 , d ) 8 , e ) 9", "output": [ "c" ] }, { "id": "task1420-9b8c33a5e4d649589d3ddb5b0225c5c5", "input": "Problem: if x and y are integers such that x ^ 2 = 2 y and xy = 256 , then x – y = ? \nOptions: a ) - 30 , b ) - 24 , c ) - 5 , d ) 5 , e ) 20", "output": [ "b" ] }, { "id": "task1420-caff94560e7a4ab5a8ed5518af847e27", "input": "Problem: a clock store sold a certain clock to a collector for 45 percent more than the store had originally paid for the clock . when the collector tried to resell the clock to the store , the store bought it back at 25 percent of what the collector had paid . the shop then sold the clock again at a profit of 55 percent on its buy - back price . if the difference between the clock ' s original cost to the shop and the clock ' s buy - back price was $ 180 , for how much did the shop sell the clock the second time ? \nOptions: a ) $ 149.55 , b ) $ 134.56 , c ) $ 175.43 , d ) $ 158.65 , e ) $ 255.45", "output": [ "d" ] }, { "id": "task1420-1c85dc33219944278e7f6540f21ee381", "input": "Problem: in a party every person shakes hands with every other person . if there were a total of 171 handshakes in the party then what is the number of persons present in the party ? \nOptions: a ) 15 , b ) 16 , c ) 17 , d ) 18 , e ) 19", "output": [ "e" ] }, { "id": "task1420-ab03a95da5334f99aefea05f41ba8fa2", "input": "Problem: an integer n between 1 and 100 , inclusive , is to be chosen at random . what is the probability that n ( n + 1 ) will be divisible by 5 ? \nOptions: a ) 1 / 9 , b ) 1 / 3 , c ) 1 / 2 , d ) 2 / 3 , e ) 2 / 5", "output": [ "e" ] }, { "id": "task1420-1761fbb697bf4d27aae595bef7380ddb", "input": "Problem: on a race track a maximum of 5 horses can race together at a time . there are a total of 25 horses . there is no way of timing the races . what is the minimum number r of races we need to conduct to get the top 3 fastest horses ? \nOptions: a ) 5 , b ) 7 , c ) 8 , d ) 10 , e ) 11", "output": [ "b" ] }, { "id": "task1420-d1e404fa3c754b70be1ad094c1fee0ce", "input": "Problem: when processing flower - nectar into honey bees ' extract , a considerable amount of water gets reduced . how much flower - nectar must be processed to yield 1 kg of honey , if nectar contains 50 % water , and the honey obtained from this nectar contains 20 % water ? \nOptions: a ) 1.2 kg , b ) 1.5 kg , c ) 1.7 kg , d ) 1.6 kg , e ) none of these", "output": [ "d" ] }, { "id": "task1420-8046c489efee4df88914875864d3e925", "input": "Problem: the sum of all the integers s such that - 26 < s < 24 is \nOptions: a ) 0 , b ) - 2 , c ) - 25 , d ) - 49 , e ) - 51", "output": [ "d" ] }, { "id": "task1420-6e7fd59476584bae93abef08b3123d2e", "input": "Problem: a , b and c play a cricket match . the ratio of the runs scored by them in the match is a : b = 2 : 3 and b : c = 2 : 5 . if the total runs scored by all of them are 75 , the runs scored by c are ? \nOptions: a ) 11 , b ) 18 , c ) 45 , d ) 17 , e ) 12", "output": [ "c" ] }, { "id": "task1420-eb6726f3c55c45f1a00eaf1f0b596011", "input": "Problem: the security gate at a storage facility requires a 5 - digit lock code . if the lock code must consist only of digits from 1 through 7 , inclusive , with no repeated digits , and the first and last digits of the code must be even , how many lock codes are possible ? \nOptions: a ) 120 , b ) 240 , c ) 360 , d ) 720 , e ) 1440", "output": [ "c" ] }, { "id": "task1420-4d012685674b413a897db29450d4f332", "input": "Problem: in an examination , 30 % of total students failed in hindi , 35 % failed in english and 35 % in both . the percentage of these who passed in both the subjects is : \nOptions: a ) 10 % , b ) 20 % , c ) 30 % , d ) 70 % , e ) 50 %", "output": [ "d" ] }, { "id": "task1420-6e2222596fd346f2846a62d05fd1caf2", "input": "Problem: a number is doubled and 6 is added . if resultant is trebled , it becomes 72 . what is that number \nOptions: a ) 8 , b ) 10 , c ) 9 , d ) 14 , e ) 16", "output": [ "c" ] }, { "id": "task1420-1e877d36f58f484baef2aef5148a2315", "input": "Problem: if the sum of two positive integers is 12 and the difference of their squares is 48 , what is the product of the two integers ? \nOptions: a ) 32 , b ) 119 , c ) 128 , d ) 135 , e ) 143", "output": [ "a" ] }, { "id": "task1420-5517664d6d36424aae87b191c5265118", "input": "Problem: mr . kramer , the losing candidate in a two - candidate election , received 942568 votes , which was exactly 30 percent of all votes cast . approximately what percent of the remaining votes would he need to have received in order to have won at least 50 percent of all the votes cast ? \nOptions: a ) 10 % , b ) 12 % , c ) 15 % , d ) 29 % , e ) 20 %", "output": [ "d" ] }, { "id": "task1420-8d7f7185aecd4fe3b13630a05e3614c0", "input": "Problem: the ratio of the ages of mini and minakshi is 4 : 3 . the sum of their ages is 28 years . the ratio of their ages after 6 years will be \nOptions: a ) 2 : 3 , b ) 7 : 11 , c ) 5 : 4 , d ) 4 : 5 , e ) 11 : 9", "output": [ "e" ] }, { "id": "task1420-0ff53232519f4172bde8fc485f3b3c14", "input": "Problem: what is the difference between the largest number and the least number written with the digits 7 , 3 , 1 , 4 ? \nOptions: a ) 6084 , b ) 6184 , c ) 5084 , d ) 6048 , e ) 6049", "output": [ "a" ] }, { "id": "task1420-d8a51362c876471c933638042980dfa5", "input": "Problem: if x is 30 percent more than y and y is 40 percent less than z , then x is what percent of z ? \nOptions: a ) 78 % , b ) 250 % , c ) 500 / 3 % , d ) 125 % , e ) 60 %", "output": [ "a" ] }, { "id": "task1420-1745e1a023a34a25b0a652ba3e2d70d3", "input": "Problem: the average weight of 8 persons increases by 5 kg when a new person comes in place of one of them weighing 65 kg . what might be the weight of the new person ? \nOptions: a ) 75 kg , b ) 65 kg , c ) 55 kg , d ) 85 kg , e ) 105 kg", "output": [ "e" ] }, { "id": "task1420-08cc8c13af834e869590723a6d0f3929", "input": "Problem: in a class of 25 students in an examination in maths 5 students scored 95 marks each , 3 get zero each and the average of the rest was 45 . what is the average of the whole class ? \nOptions: a ) a ) 47 , b ) b ) 45.6 , c ) c ) 44 , d ) d ) 48 , e ) e ) 49.6", "output": [ "e" ] }, { "id": "task1420-358df25f9178481ba0c5bc6c2ed19f6e", "input": "Problem: diana took out a charge account at the general store and agreed to pay 7 % simple annual interest . if she charges $ 75 on her account in january , how much will she owe a year later , assuming she does not make any additional charges or payments ? \nOptions: a ) $ 79.25 , b ) $ 79.50 , c ) $ 79.75 , d ) $ 80.00 , e ) $ 80.25", "output": [ "e" ] }, { "id": "task1420-e931ed7a0ca6418bbd14d73d6aaf73c1", "input": "Problem: a mixture of 125 gallons of wine and water contains 20 % water . how much water must be added to the mixture in order to increase the percentage of water to 25 % of the new mixture ? \nOptions: a ) 10 glas , b ) 8.5 gals , c ) 8 gals , d ) 6.66 gals , e ) 8.33 gals", "output": [ "e" ] }, { "id": "task1420-71540e2e0abc4a92a50dfa2b2ccbbfab", "input": "Problem: a customer bought a product at the shop . however , the shopkeeper increased the price of the product by 10 % so that the customer could not buy the required amount of the product . the customer managed to buy only 80 % of the required amount . what is the difference in the amount of money that the customer paid for the second purchase compared to the first purchase ? \nOptions: a ) 10 % , b ) 12 % , c ) 14 % , d ) 16 % , e ) 18 %", "output": [ "b" ] }, { "id": "task1420-d0eb743f3d654180b16696227378a34f", "input": "Problem: 5020 − ( 502 ÷ 100.4 ) = ? \nOptions: a ) 15 , b ) 20 , c ) 5015 , d ) 25 , e ) 35", "output": [ "c" ] }, { "id": "task1420-c9a6b0b43bd44a7ea3a7db6fa2d396d5", "input": "Problem: if ' a ' and ' b ' are non - zero numbers such that their sum is 6 times the product , what is the value of 1 / a + 1 / b ? \nOptions: a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 12", "output": [ "b" ] }, { "id": "task1420-c90c86e4027b42a8a28007a466e472ac", "input": "Problem: the average of first 20 even numbers is ? \nOptions: a ) 19 , b ) 18 , c ) 16 , d ) 11 , e ) 21", "output": [ "e" ] }, { "id": "task1420-e3c565cb9c08409ca5786341eb0cf6c7", "input": "Problem: average expenditure of a person for the first 3 days of a week is rs . 330 and for the next 4 days is rs . 420 . average expenditure of the man for the whole week is : \nOptions: a ) 350 , b ) 370 , c ) 390 , d ) 430 , e ) none", "output": [ "b" ] }, { "id": "task1420-96022c01d48f4d75a9b0eedf2aa2a44b", "input": "Problem: when positive integer n is divided by positive integer j , the remainder is 16 . if n / j = 127.05 , what is value of j ? \nOptions: a ) 300 , b ) 320 , c ) 370 , d ) 400 , e ) 450", "output": [ "b" ] }, { "id": "task1420-0f5313a01e0442ba8eadd4e30370d213", "input": "Problem: difference between two numbers is 5 , 6 times of the smaller lacks by 8 from the 4 times of the greater . find the numbers ? \nOptions: a ) 5,1 , b ) 7,3 , c ) 9,8 , d ) 11,6 , e ) 13,7", "output": [ "d" ] }, { "id": "task1420-32bc7a1466074050b456f142fea8fd65", "input": "Problem: the average age of 31 students in a group is 16 years . when teacher ' s age is included to it , the average increases by one . what is the teacher ' s age in years ? \nOptions: a ) 31 , b ) 36 , c ) 48 , d ) 45 , e ) 57", "output": [ "c" ] }, { "id": "task1420-571aa4bc5882477a841b4b40dd240c71", "input": "Problem: a batsman scored 90 runs which included 2 boundaries and 7 sixes . what percent of his total score did he make by running between the wickets . \nOptions: a ) 30 % , b ) 40 % , c ) 44.44 % , d ) 60 % , e ) 80 %", "output": [ "c" ] }, { "id": "task1420-c2b316fca63f475c9b5265201e5aaea1", "input": "Problem: f ( x ) is a function such that f ( x ) + 3 f ( 8 - x ) = x for all real numbers x . find the value of f ( 2 ) . \nOptions: a ) 5 , b ) 4 , c ) 3 , d ) 2 , e ) 1", "output": [ "d" ] }, { "id": "task1420-b5bf70f78dd0489daa139af0a7e26006", "input": "Problem: in a fuel station the service costs $ 1.75 per car , every liter of fuel costs 0.65 $ . assuming that a company owns 12 cars and that every fuel tank contains 65 liters and they are all empty , how much money total will it cost to fuel all cars ? \nOptions: a ) 320 $ , b ) 380 $ , c ) 420 $ , d ) 450 $ , e ) 528 $", "output": [ "e" ] }, { "id": "task1420-1940304ae26d4c0ab738063633e1d997", "input": "Problem: the sum of digits of a two digit number is 13 , the difference between the digits is 5 . find the number \nOptions: a ) 85 , b ) 94 , c ) 83 , d ) 72 , e ) none", "output": [ "b" ] }, { "id": "task1420-37d37c726a47417685e27b377a801133", "input": "Problem: the circulation for magazine p in 1961 was 4 times the average ( arithmetic mean ) yearly circulation for magazine p for the years 1962 - 1970 . what is the ratio of the circulation in 1961 to the total circulation during 1961 - 1970 for magazine p ? \nOptions: a ) 2 / 7 , b ) 5 / 7 , c ) 3 / 7 , d ) 4 / 7 , e ) 1 / 7", "output": [ "a" ] }, { "id": "task1420-fb8e874aaf5d40f69093ee3c68bd9ae1", "input": "Problem: if a , b , c , d , e and f are integers and ( ab + cdef ) < 0 , then what is the maximum number w of integers that can be negative ? \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6", "output": [ "d" ] }, { "id": "task1420-75b836b0ecdb46c99dec3b127d1c4e35", "input": "Problem: the population of a bacteria culture doubles every 6 minutes . approximately how many minutes will it take for the population to grow from 1,000 to 500,000 bacteria \nOptions: a ) 10 , b ) 12 , c ) 14 , d ) 54 , e ) 18", "output": [ "d" ] }, { "id": "task1420-02cf77c066d04e06b51de973f07b5b13", "input": "Problem: if 1 / 12 of the passengers on a ship are from north america , 1 / 4 are europeans , 2 / 9 are from africa , 1 / 6 are from asia and the remaining 50 people are citizens of other continents , then how many passengers are on board the ship ? \nOptions: a ) 120 , b ) 140 , c ) 150 , d ) 160 , e ) 180", "output": [ "e" ] }, { "id": "task1420-6c99c4a6fdd74183a527d405b5f194e3", "input": "Problem: the average of runs of a cricket player of 20 innings was 32 . how many runs must he make in his next innings so as to increase his average of runs by 3 ? \nOptions: a ) 95 , b ) 106 , c ) 122 , d ) 116 , e ) 122", "output": [ "a" ] }, { "id": "task1420-016c4b532d1c412495f4743ff7586a3d", "input": "Problem: a no . when divided by 220 gives a remainder 43 , what remainder will beobtained by dividingthe same no . 67 ? \nOptions: a ) 4 , b ) 6 , c ) 9 , d ) 11 , e ) 14", "output": [ "c" ] }, { "id": "task1420-97095ddb35d245ed8e5c30be73955aa8", "input": "Problem: when 1 / 20 % of 4,000 is subtracted from 1 / 10 of 4,000 , the difference is \nOptions: a ) 50 , b ) 200 , c ) 380 , d ) 398 , e ) 400", "output": [ "d" ] }, { "id": "task1420-ee510b88835a437680bfa47bcfe351eb", "input": "Problem: in an ngo the daily average wages of 20 illiterate employees is decreased from rs . 25 to rs . 10 , thus the average salary of all the literate and illiterate employees is decreased rs . 10 per day . the no . of educated employees working in the ngo is ? \nOptions: a ) 11 , b ) 82 , c ) 10 , d ) 28 , e ) 23", "output": [ "c" ] }, { "id": "task1420-7b4a5be29a6c4c249ba1effb84cec683", "input": "Problem: total dinning bill of 9 people was $ 139.00 and 10 % tip divided the bill evenly ? what is the bill amount each person shared . \nOptions: a ) 21.84 , b ) 12.84 , c ) 16.98 , d ) 24.84 , e ) 15.84", "output": [ "c" ] }, { "id": "task1420-95d2eb34873842928795d9d4a8fa5ef0", "input": "Problem: how many words , with or without meaning , can be formed using all letters of the word good using each letter exactly once ? \nOptions: a ) 18 , b ) 20 , c ) 22 , d ) 23 , e ) 24", "output": [ "e" ] }, { "id": "task1420-ab35efa6be73411d9110d72cf888267d", "input": "Problem: a certain bus driver is paid a regular rate of $ 16 per hour for any number of hours that does not exceed 40 hours per week . for any overtime hours worked in excess of 40 hours per week , the bus driver is paid a rate that is 75 % higher than his regular rate . if last week the bus driver earned $ 1032 in total compensation , how many total hours did he work that week ? \nOptions: a ) 36 , b ) 40 , c ) 44 , d ) 48 , e ) 54", "output": [ "e" ] }, { "id": "task1420-d24911d51c3648daac57c8f0e8fce318", "input": "Problem: sum of two numbers is 10 . two times of the first exceeds by 5 from the 3 times of the other . then the numbers will be ? \nOptions: a ) a ) 7 , b ) b ) 9 , c ) c ) 11 , d ) d ) 13 , e ) e ) 15", "output": [ "a" ] }, { "id": "task1420-25520492fb34491b94cbb5ea7ecd7ddd", "input": "Problem: 17 times a positive integer is more than its square by 70 , then the positive integer is \nOptions: a ) 13 , b ) 10 , c ) 11 , d ) 12 , e ) 14", "output": [ "b" ] }, { "id": "task1420-2790454331bc4c31b794afc628b0b0cc", "input": "Problem: a certain tests consists 8 sections with 25 questions , numbered from 1 to 25 , in each section . if a student answered all of the even - numbered questions correctly and 3 / 4 of the odd - numbered questions correctly , what was the total number of questions he answered correctly ? a . 150 b . 172 c . 174 d . 175 e . 176 \nOptions: a ) 174 , b ) 150 , c ) 180 , d ) 175 , e ) 190", "output": [ "a" ] }, { "id": "task1420-ab9d868ef58f40619c2f4bef4eac0b1c", "input": "Problem: the maximum number of students among them 1234 pens and 874 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is : \nOptions: a ) 91 , b ) 2 , c ) 1001 , d ) 1911 , e ) none of these", "output": [ "b" ] }, { "id": "task1420-ee2c393d5a4d48fc8a6b4009de0644b0", "input": "Problem: if 10 people contributed a total of $ 30.00 toward a gift and each of them contributed at least $ 2.00 , then the maximum possible amount any one person could have contributed is \nOptions: a ) $ 1.00 , b ) $ 1.25 , c ) $ 12.00 , d ) $ 6.00 , e ) $ 20.00", "output": [ "c" ] }, { "id": "task1420-97bf888ba8724dd7bc99434793844245", "input": "Problem: a professional janitor can clean a certain high school in ( 4 + 4 ) hours , working at a constant rate . a student sentenced to detention can clean that same high school in 20 hours , also working at a constant rate . if the student is paid $ 7 total per hour and the janitor is paid $ 21 per hour , how much more would it cost the school to pay the janitor to do the job himself than it would to pay the student and the janitor to do the job together ? \nOptions: a ) - $ 56 , b ) - $ 6 , c ) $ 0 , d ) $ 6 , e ) $ 8", "output": [ "e" ] }, { "id": "task1420-45d2f737177b469986efaa89b8909b4e", "input": "Problem: the average salary of a person for the months of january , february , march and april is rs . 8000 and that for the months february , march , april and may is rs . 8200 . if his salary for the month of may is rs . 6500 , find his salary for the month of january ? \nOptions: a ) 2177 , b ) 2876 , c ) 4500 , d ) 5700 , e ) 6711", "output": [ "d" ] }, { "id": "task1420-0631573b180d49eb9952d3f2e1b6b4e1", "input": "Problem: a man purchased 1 blankets @ rs . 100 each , 5 blankets @ rs . 150 each and two blankets at a certain rate which is now slipped off from his memory . but he remembers that the average price of the blankets was rs . 150 . find the unknown rate of two blankets ? \nOptions: a ) 278 , b ) 277 , c ) 278 , d ) 450 , e ) 650", "output": [ "e" ] }, { "id": "task1420-516d9a1d84cc4f8d8bb3a723aaff0920", "input": "Problem: if y ¤ w = y ^ ( 2 w ) for all positive integers , then ( 3 ¤ 4 ) ¤ 2 = \nOptions: a ) 3 ^ 8 , b ) 3 ^ 12 , c ) 3 ^ 16 , d ) 3 ^ 24 , e ) 3 ^ 32", "output": [ "e" ] }, { "id": "task1420-0540cde07aa8486caff3efaa461bd910", "input": "Problem: the average salary / head of allthe workers in a workshop is rs . 1200 , if the average salary / head of 10 technician is rs . 1400 and the average salary / head of the rest is rs . 900 , the total no . of workers in the work - shop is ? \nOptions: a ) 18 , b ) 17 , c ) 15 , d ) 19 , e ) 21", "output": [ "b" ] }, { "id": "task1420-99f0cbe937bc42f2a2e2d8a3ac218dc8", "input": "Problem: mary sold boxes of butter cookies . ann sold 5 times as much as she did . 18 boxes of cookies were sold that day , how many boxes did mary sell ? \nOptions: a ) 3 , b ) 5 , c ) 6 , d ) 10 , e ) 18", "output": [ "a" ] }, { "id": "task1420-de0d6b17727146b8be35388f8d7acc62", "input": "Problem: the average runs scored by a batsman in 20 matches is 40 . in the next 10 matches the batsman scored an average of 30 runs . find his average in all the 30 matches ? \nOptions: a ) 31 , b ) 36.67 , c ) 88 , d ) 13 , e ) 12", "output": [ "b" ] }, { "id": "task1420-917d50249d78474abb0836949a3f9cfe", "input": "Problem: find the product of the localvalue and absolutevalue of 5 in 20568 ? \nOptions: a ) 1000 , b ) 2500 , c ) 1200 , d ) 5000 , e ) 1600", "output": [ "b" ] }, { "id": "task1420-4a8518efa72c48c7934cf04b63c0d38a", "input": "Problem: a computer manufacturer produces a certain electronic component at a cost of $ 80 per component . shipping costs for delivering the components are $ 4 per unit . further , the manufacturer has costs of $ 16,500 a month related to the electronic component regardless of how many it produces . if the manufacturer produces and sells 150 components a month , what is the lowest price it can sell them for such that the costs do n ' t exceed the revenues ? \nOptions: a ) $ 28 , b ) $ 82 , c ) $ 110 , d ) $ 138 , e ) $ 194", "output": [ "e" ] }, { "id": "task1420-421e02f90300436398034e3961049e38", "input": "Problem: in how many ways can the integer 48 be expressed as a product of two different positive integers ? \nOptions: a ) 10 , b ) 8 , c ) 5 , d ) 4 , e ) 2", "output": [ "c" ] }, { "id": "task1420-cf2241ad1bdf4def9021dc24704419ce", "input": "Problem: drum x is 1 / 2 full of oil and drum y , which has twice the capacity of drum x , is 1 / 4 full of oil . if all of the oil in drum x is poured into drum y , then drum y will be filled to what capacity ? \nOptions: a ) 1 / 2 , b ) 2 / 3 , c ) 3 / 4 , d ) 5 / 6 , e ) 7 / 8", "output": [ "a" ] }, { "id": "task1420-21624e54f5e249479750a68530008f4e", "input": "Problem: 587 x 999 = ? \nOptions: a ) 586413 , b ) 587523 , c ) 614823 , d ) 615173 , e ) none of them", "output": [ "a" ] }, { "id": "task1420-f17fed9429ab4ebcad98fda4598910a0", "input": "Problem: the number of diagonals of a polygon of n sides is given by the formula q = n ( n - 3 ) / 2 . if a polygon has twice as many diagonals as sides , how many sides does it have ? \nOptions: a ) 3 , b ) 5 , c ) 6 , d ) 7 , e ) 8", "output": [ "b" ] }, { "id": "task1420-f0490f1c783f4faa802366a80e90992a", "input": "Problem: a jogger running at 9 km / hr along side a railway track is 200 m ahead of the engine of a 210 m long train running at 45 km / hr in the same direction . in how much time will the train pass the jogger ? \nOptions: a ) 89 , b ) 20 , c ) 36 , d ) 41 , e ) 34", "output": [ "d" ] }, { "id": "task1420-0e2ce7273d1645368520c83cdb6a53df", "input": "Problem: how many words , with or without meaning , can be formed using all letters of the word red using each letter exactly once ? \nOptions: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10", "output": [ "a" ] }, { "id": "task1420-6f6da20043ac45c89ce257ca31a8e803", "input": "Problem: a rainstorm increased the amount of water stored in state j reservoirs from 130 billion gallons to 160 billion gallons . if the storm increased the amount of water in the reservoirs to 80 percent of total capacity , approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm ? \nOptions: a ) 75 , b ) 70 , c ) 65 , d ) 85 , e ) 90", "output": [ "b" ] }, { "id": "task1420-b28240138ff448c780443f9e1b98a54c", "input": "Problem: andrew travelling to 7 cities . gasoline prices varied from city to city . $ 1.75 , $ 1.61 , $ 1.79 , $ 2.11 , $ 1.96 , $ 2.09 , $ 1.81 . what is the median gasoline price ? \nOptions: a ) $ 1 , b ) $ 1.81 , c ) $ 1.92 , d ) $ 2.13 , e ) $ 2.15", "output": [ "b" ] }, { "id": "task1420-5fa2e53a1e8642f48f89880fe50ba6e7", "input": "Problem: in a coconut grove , ( x + 2 ) trees yield 60 nuts per year , x trees yield 120 nuts per year and ( x – 2 ) trees yield 180 nuts per year . if the average yield per year per tree be 100 , find x . \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "e" ] }, { "id": "task1420-283e09a816f7423dacf6e60a2034bdb8", "input": "Problem: 2 : 3 : : 23 : ? \nOptions: a ) 25 , b ) 28 , c ) 22 , d ) 29 , e ) 30", "output": [ "d" ] }, { "id": "task1420-0e17c8c48d2147e68474781cf520c221", "input": "Problem: every disk in a bag is either blue , yellow or green . the ratio of blue disks to yellow disks to green disks in this bag is 3 : 7 : 8 . if the total number of disks in the bag is 108 , how many more green disks than blue disks are in the bag ? \nOptions: a ) 25 , b ) 28 , c ) 30 , d ) 35 , e ) 40", "output": [ "c" ] }, { "id": "task1420-d383d0cc0a4446fda2aa2ce3d2a5783c", "input": "Problem: a school has received 60 % of the amount it needs for a new building by receiving a donation of $ 300 each from people already solicited . people already solicited represent 40 % of the people from whom the school will solicit donations . how much average contribution is requited from the remaining targeted people to complete the fund raising exercise ? \nOptions: a ) $ 200 , b ) $ 177.78 , c ) $ 100 , d ) $ 277.78 , e ) $ 377.78", "output": [ "b" ] }, { "id": "task1420-0537281bc6d44a3fa7b8d7ab34ebc13c", "input": "Problem: q is as much younger than r as he is older than t . if the sum of the ages of r and t is 50 years . what is definitely the difference between r and q ' s age ? \nOptions: a ) 50 , b ) 99 , c ) 88 , d ) 77 , e ) 23", "output": [ "d" ] }, { "id": "task1420-24f909ab09e541918e01d72726d51d70", "input": "Problem: the average marks of a class of 26 students is 40 and that of another class of 50 students is 60 . find the average marks of all the students ? \nOptions: a ) 52.2 , b ) 59.5 , c ) 52.8 , d ) 52.5 , e ) 53.1", "output": [ "e" ] }, { "id": "task1420-c9ea8b20f02d488cb19d24debeb227dc", "input": "Problem: there are 4 people of different heights standing in order of increasing height . the difference is 2 inches between the first person and the second person , and also between the second person and the third person . the difference between the third person and the fourth person is 6 inches and the average height is 79 . how tall is the fourth person ? \nOptions: a ) 85 , b ) 87 , c ) 89 , d ) 91 , e ) 93", "output": [ "a" ] }, { "id": "task1420-6f2c585b8bc04c0290d5116f05f71892", "input": "Problem: 50 % of major airline companies equip their planes with wireless internet access . 70 % of major airlines offer passengers free on - board snacks . what is the greatest possible percentage of major airline companies that offer both wireless internet and free on - board snacks ? \nOptions: a ) 20 % , b ) 30 % , c ) 40 % , d ) 50 % , e ) 70 %", "output": [ "d" ] }, { "id": "task1420-d9966912bd7b40e285b27285cb7c5e72", "input": "Problem: the total marks obtained by a student in mathematics and physics is 60 and his score in chemistry is 20 marks more than that in physics . find the average marks scored in mathamatics and chemistry together . \nOptions: a ) 40 , b ) 30 , c ) 25 , d ) data inadequate , e ) none of these .", "output": [ "a" ] }, { "id": "task1420-54b3d357657c4644a50338825e195c71", "input": "Problem: at scratch and dents rent - a - car , it costs $ 34.95 a day plus $ 0.23 per mile to rent a car . at rent - a - lemon , the charge is $ 25.00 a day plus $ 1.31 per mile . if you need to rent a car for 3 days , how many miles ( to nearest tenth ) must you drive for a car from both agencies to cost the same amount ? \nOptions: a ) 25.7 miles , b ) 26.2 miles , c ) 27.6 miles , d ) 27.9 miles , e ) 29.9 miles", "output": [ "c" ] }, { "id": "task1420-2c888a9e0fa34c76a340b5e40e94fe11", "input": "Problem: the largest 5 digit number exactly divisible by 91 is : \nOptions: a ) 25698 , b ) 581396 , c ) 369741 , d ) 99918 , e ) 1258", "output": [ "d" ] }, { "id": "task1420-d5264f805f30440bb742ed352f709ea2", "input": "Problem: let p and q be the root of the quadratic equation x 2 - ( ∝ - 2 ) x - ∝ - 1 = 0 . what is the minimum possible value of p 2 + q 2 ? \nOptions: a ) 0 , b ) 3 , c ) 4 , d ) 5 , e ) 6", "output": [ "d" ] }, { "id": "task1420-3f71c54fc90b45238821a908f5242581", "input": "Problem: a number divided by 84 leaves remainder 57 what is the remainder when same number divided by 12 \nOptions: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11", "output": [ "c" ] }, { "id": "task1420-268f317bb2364300b7d120efc223e2e3", "input": "Problem: the ratio of kamla and nisha is 6 : 5 and the sum of their ages is 44 . what will be the ratio of their ages after 8 years . \nOptions: a ) 5 : 6 , b ) 7 : 8 , c ) 8 : 7 , d ) 12 : 11 , e ) 14 : 13", "output": [ "c" ] }, { "id": "task1420-1a4bd7a896dc4230b915626228d93da4", "input": "Problem: find the principle on a certain sum of money at 5 % per annum for 2 2 / 5 years if the amount being rs . 2120 ? \nOptions: a ) rs . 1000.15 , b ) rs . 1100.95 , c ) rs . 1892.85 , d ) rs . 1050.85 , e ) rs . 1200.25", "output": [ "c" ] }, { "id": "task1420-648ee85673194bf0baf0c7c8835da105", "input": "Problem: find value for x from below equation ? x + 1 = 3 \nOptions: a ) - 5 , b ) - 4 , c ) 4 , d ) 3 , e ) 2", "output": [ "e" ] }, { "id": "task1420-a74f1bf9bde244b199336e51241e562d", "input": "Problem: if a ã — b = 2 a - 3 b + ab , then 1 ã — 2 + 2 ã — 1 is equal to : \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "a" ] }, { "id": "task1420-815ef22b23064662bedef76ae3518726", "input": "Problem: in a class of 42 students , 2 students did not borrow any books from the library , 12 students each borrowed 1 book , 10 students each borrowed 2 books , and the rest borrowed at least 3 books . if the average number of books per student was 2 , what is the maximum number of books any single student could have borrowed ? \nOptions: a ) 1 , b ) 5 , c ) 8 , d ) 13 , e ) 15", "output": [ "a" ] }, { "id": "task1420-349266e415da4c99b44bb36edbf51a98", "input": "Problem: rewrite ( 10 ^ 38 ) – 85 as a base 10 integer , what is the sum of the digits in that integer ? \nOptions: a ) 354 , b ) 357 , c ) 330 , d ) 370 , e ) 360", "output": [ "c" ] }, { "id": "task1420-dabe9b0cbf65408fabf56ded237cbedb", "input": "Problem: in a fuel station the service costs $ 1.75 per car , every liter of fuel costs 0.65 $ . assuming that a company owns 12 cars and that every fuel tank contains 45 liters and they are all empty , how much money total will it cost to fuel all cars ? \nOptions: a ) 320 $ , b ) 372 $ , c ) 420 $ , d ) 450 $ , e ) 480 $", "output": [ "b" ] }, { "id": "task1420-48fba43cb8e44f72836202ef238aef94", "input": "Problem: the average age of 15 students of a class is 15 years . out of these , the average age of 5 students is 13 years and that of the other 9 students is 16 years , the age of the 15 th student is \nOptions: a ) 11 , b ) 16 , c ) 13 , d ) 14 , e ) 15", "output": [ "b" ] }, { "id": "task1420-59853c3ac47c49cbb1275144760725ba", "input": "Problem: what is the units digit of ( 6 ! * 4 ! + 6 ! * 5 ! ) / 6 ? \nOptions: a ) 1 , b ) 0 , c ) 2 , d ) 3 , e ) 4", "output": [ "b" ] }, { "id": "task1420-2537dd8612c646e4ae67fe8a43e11912", "input": "Problem: the average mark of a class of thirty two students is 75 . if 3 students whose marks are 28 and 34 are removed , then find the approximate average mark of the remaining students of the class . \nOptions: a ) 71 , b ) 74 , c ) 78 , d ) 70 , e ) 80", "output": [ "c" ] }, { "id": "task1420-0780c37bafe04abe89b420f2fe1a5c54", "input": "Problem: find the ones digit of 73 ^ 350 \nOptions: a ) 3 , b ) 5 , c ) 6 , d ) 7 , e ) 9", "output": [ "e" ] }, { "id": "task1420-ec3dfe5e5215433bbf3201c70bc0f8bf", "input": "Problem: a meal cost $ 48.75 adn there was no tax . if the tip was more than 5 pc but less than 20 pc of the price , then the total amount paid should be : \nOptions: a ) 60 - 65 , b ) 55 - 58 , c ) 51 - 59 , d ) 39 - 41 , e ) 38 - 40", "output": [ "c" ] }, { "id": "task1420-a486cf165b0f4f7eacd6e19ccb64d114", "input": "Problem: 3 , 4.5 , 6.75 , 10.13 , 15.18 , ( . . . ) \nOptions: a ) 60 , b ) 60.75 , c ) 22.78 , d ) 32.52 , e ) 88", "output": [ "c" ] }, { "id": "task1420-895c31aaf579452aa52c0bb10d9498a7", "input": "Problem: point ( m , n ) is on the circle represented by m ^ 2 + n ^ 2 = 10 , and m , n are integers . how many such points are possible ? \nOptions: a ) 0 , b ) 2 , c ) 4 , d ) 6 , e ) 8", "output": [ "e" ] }, { "id": "task1420-e6c01a890c834dc8a299e1574035746a", "input": "Problem: the price of 10 chairs is equal to that of 4 tables . the price of 15 chairs and 2 tables together is rs . 4000 . the total price of 12 chairs and 3 tables is \nOptions: a ) rs . 3800 , b ) rs . 3900 , c ) rs . 4000 , d ) rs . 4200 , e ) rs . 4400", "output": [ "b" ] }, { "id": "task1420-2bd0449459c747cdb8c65ae4d47cc0fa", "input": "Problem: a certain pair of used shoes can be repaired for $ 10.50 and will last for 1 year . a pair of the same kind of shoes can be purchased new for $ 30.00 and will last for 2 years . the average cost per year of the new shoes is what percent greater than the cost of repairing the used shoes ? \nOptions: a ) 42.85 , b ) 44 , c ) 48 , d ) 38 , e ) 40", "output": [ "a" ] }, { "id": "task1420-0a19f7f937184667bd78ce74fc15484d", "input": "Problem: a grocery shop has a sale of rs . 6235 , rs . 6927 , rs . 6855 , rs . 7230 and rs . 6562 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 6500 ? \nOptions: a ) 4857 , b ) 4184 , c ) 4012 , d ) 5191 , e ) 5291", "output": [ "d" ] }, { "id": "task1420-5d0dee4f3c6c4ce29136a8772d0ca6a7", "input": "Problem: a rainstorm increased the amount of water stored in state j reservoirs from 160 billion gallons to 200 billion gallons . if the storm increased the amount of water in the reservoirs to 40 percent of total capacity , approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm ? \nOptions: a ) 260 , b ) 280 , c ) 325 , d ) 340 , e ) 355", "output": [ "d" ] }, { "id": "task1420-3064917916fa49a0a894e34ac8355666", "input": "Problem: if x and y are numbers such that ( x + 5 ) ( y - 5 ) = 0 , what is the smallest possible value of x ^ 2 + y ^ 2 \nOptions: a ) 0 , b ) 4 , c ) 9 , d ) 25 , e ) 16", "output": [ "d" ] }, { "id": "task1420-7e932a0b87a0428195726545caf458ba", "input": "Problem: how many two - digit whole numbers yield a remainder of 1 when divided by 10 and also yield a remainder of 1 when divided by 6 ? \nOptions: a ) none , b ) one , c ) two , d ) three , e ) four", "output": [ "d" ] }, { "id": "task1420-862cacafc5c8482bb6f881ff81510f4b", "input": "Problem: the average of runs of a cricket player of 10 innings was 30 . how many runs must he make in his next innings so as to increase his average of runs by 4 ? \nOptions: a ) 87 , b ) 74 , c ) 10 , d ) 76 , e ) 17", "output": [ "b" ] }, { "id": "task1420-ff4ba1e8dd0d4b9281e7b9091eb3c4be", "input": "Problem: if x is an integer and 2.134 × 10 ^ x is less than 21,000 , what is the greatest possible value for x ? \nOptions: a ) 7 , b ) 6 , c ) 5 , d ) 4 , e ) 3", "output": [ "e" ] }, { "id": "task1420-9035745e7ab44460b8b582f740691389", "input": "Problem: a box has exactly 100 balls , and each ball is either red , blue , or white . if the box has 12 more blue balls than white balls , and twice as many red balls as blue balls , how many white balls does the box has ? \nOptions: a ) 8 , b ) 10 , c ) 12 , d ) 14 , e ) 16", "output": [ "e" ] }, { "id": "task1420-2b4aa527e48e4b0da0f06a094b3dbd12", "input": "Problem: the smallest number which when diminished by 7 , is divisible by 12 , 16 , 18 , 21 and 28 is \nOptions: a ) 1008 , b ) 1015 , c ) 1022 , d ) 1032 , e ) none", "output": [ "b" ] }, { "id": "task1420-ba5d9abc8d8048a9ab25ee4bbe866fa7", "input": "Problem: a certain sum of money is divided among a , b and c so that for each rs . a has 80 paisa , b has 65 paisa and c 40 paisa . if c ' s share is rs . 40 , find the sum of money ? \nOptions: a ) rs . 185 , b ) rs . 410 , c ) rs . 285 , d ) rs . 385 , e ) rs . 475", "output": [ "a" ] }, { "id": "task1420-e83dfb0acc3e43e2a0e358e2c3473e09", "input": "Problem: 9 people are planning to share equally the cost of a rental van . if one person withdraws from the arrangement and the others share equally the cost of the rental van , then the share of each of the remaining people will increase by . . . ? \nOptions: a ) 1 / 9 , b ) 1 / 8 , c ) 1 / 7 , d ) 7 / 8 , e ) 8 / 7", "output": [ "b" ] }, { "id": "task1420-ba9fbe8ee09d47b4ba8736360e2188e8", "input": "Problem: 90 % of the population of a village is 23040 . the total population of the village is ? \nOptions: a ) 32256 , b ) 24000 , c ) 24936 , d ) 25600 , e ) none", "output": [ "d" ] }, { "id": "task1420-4831604ab72e41feab426c71081081d4", "input": "Problem: if sharon ' s weekly salary increased by 16 percent , she would earn $ 406 per week . if instead , her weekly salary were to increase by 20 percent , how much would she earn per week ? \nOptions: a ) $ 420 , b ) $ 382 , c ) $ 385 , d ) $ 392 , e ) $ 399", "output": [ "a" ] }, { "id": "task1420-61905bc13fe743649421f167f12876e7", "input": "Problem: how many integers k greater than 100 and less than 1100 are there such that if the hundreds and the unit digits of k are reversed , the resulting integer is k + 99 ? \nOptions: a ) 50 , b ) 60 , c ) 70 , d ) 80 , e ) 90", "output": [ "e" ] }, { "id": "task1420-e04ef6742f4d4ca08b7582ee3250dc89", "input": "Problem: the average ( arithmetic mean ) of 16 students first quiz scores in a difficult english class is 62.5 . when one student dropped the class , the average of the remaining scores increased to 65.0 . what is the quiz score of the student who dropped the class ? \nOptions: a ) a ) 10 , b ) b ) 25 , c ) c ) 40 , d ) d ) 55 , e ) e ) 70", "output": [ "b" ] }, { "id": "task1420-7c0cab4a9f1f4d57852bb1f1fc8a60f2", "input": "Problem: 8 ^ 100 is divisible by 17 . find the remainder ? \nOptions: a ) 10 , b ) 12 , c ) 16 , d ) 18 , e ) 20", "output": [ "c" ] }, { "id": "task1420-38978e6f03ad42029b353b3a5aeb91c2", "input": "Problem: what is the sum of the first 23 natural numbers ( starting from 1 ) ? \nOptions: a ) 256 , b ) 266 , c ) 276 , d ) 286 , e ) 296", "output": [ "c" ] }, { "id": "task1420-107fb3a30e834f2b9567150e11422a60", "input": "Problem: set s consists of integers { 4 , 7 , 10 , 14 , 15 } . if integer n is included in the set , the average ( arithmetic mean ) of set s will increase by 50 % . what is the value of integer n ? \nOptions: a ) 28 , b ) 32 , c ) 36 , d ) 40 , e ) 44", "output": [ "d" ] }, { "id": "task1420-d4e4c1b72d51475098f72f2878814f43", "input": "Problem: the average weight of a class is x pounds . when a new student weighing 100 pounds joins the class , the average decreases by 1 pound . in a few months the student ’ s weight increases to 110 pounds and the average weight of the class becomes x + 4 pounds . none of the other students ’ weights changed . what is the value of x ? \nOptions: a ) 85 , b ) 86 , c ) 88 , d ) 90 , e ) 92", "output": [ "e" ] }, { "id": "task1420-bc00dd7ad471437dab956e7653f6ae20", "input": "Problem: a wholesaler wishes to sell 100 pounds of mixed nuts at $ 2.50 a pound . she mixes peanuts worth $ 3.50 a pound with cashews worth $ 4.00 a pound . how many pounds of cashews must she use ? \nOptions: a ) 40 , b ) 45 , c ) 50 , d ) 55 , e ) 60", "output": [ "e" ] }, { "id": "task1420-d6f65dd22ee645e999a2ea87ca678aaf", "input": "Problem: the average age of applicants for a new job is 30 , with a standard deviation of 8 . the hiring manager is only willing to accept applicants whose age is within one standard deviation of the average age . assuming that all applicants ' ages are integers and that the endpoints of the range are included , what is the maximum number of different ages of the applicants ? \nOptions: a ) 8 , b ) 16 , c ) 17 , d ) 18 , e ) 34", "output": [ "c" ] }, { "id": "task1420-05cc234694d746a5938071842f267d26", "input": "Problem: a taxi company costs $ 2.75 for the first quarter - mile and 12.5 cents for each additional quarter mile . what is the maximum distance you can travel with $ 6.50 ? \nOptions: a ) 4 miles , b ) 5 3 / 4 miles , c ) 6 1 / 2 miles , d ) 7 3 / 4 miles , e ) 8 1 / 4 miles", "output": [ "d" ] }, { "id": "task1420-8c4ec88a97e04ebd8befae103e199810", "input": "Problem: on july 1 of last year , total employees at company e was decreased by 10 percent . without any change in the salaries of the remaining employees , the average ( arithmetic mean ) employee salary was 10 percent more after the decrease in the number of employees than before the decrease . the total of the combined salaries of all the employees at company e after july 1 last year was what percent w of thatbeforejuly 1 last year ? \nOptions: a ) 90 % , b ) 99 % , c ) 100 % , d ) 101 % , e ) 110 %", "output": [ "b" ] }, { "id": "task1420-9e6333796bec480580723ec99e79259d", "input": "Problem: a bus started its journey from chennai and reached mumbai in 50 min with its average speed of 60 km / hr . if the average speed of the bus is increased by 6 km / hr , how much time will it take to cover the same distance ? \nOptions: a ) 45 min . , b ) 55 min . , c ) 65 min . , d ) 60 min . , e ) 50 min .", "output": [ "b" ] }, { "id": "task1420-673c99025dae4fe6a5c96c814a6151aa", "input": "Problem: ( 74 + 75 + 76 + 77 + . . . . . + 149 + 150 ) = ? \nOptions: a ) 8624 , b ) 8634 , c ) 8654 , d ) 8644 , e ) 8677", "output": [ "a" ] }, { "id": "task1420-c879cf369bfd4d208162aa16a0b8da2e", "input": "Problem: how many numbers between 1000 and 5000 are exactly divisible by 225 ? \nOptions: a ) 16 , b ) 18 , c ) 19 , d ) 12 , e ) 21", "output": [ "b" ] }, { "id": "task1420-77cf9ac4911540fea8548c86a11c9375", "input": "Problem: what is the remainder when 1003 * 1005 * 1007 is divided by 15 \nOptions: a ) 3 , b ) 17 , c ) 14 , d ) 0 , e ) 7", "output": [ "d" ] }, { "id": "task1420-5ae0f8ceaacf441a97d5dae7c05b5beb", "input": "Problem: if a 2 + b 2 + c 2 = 213 and ab + bc + ca = 6 , then a + b + c is \nOptions: a ) 14 , b ) 20 , c ) 15 , d ) 32 , e ) 64", "output": [ "c" ] }, { "id": "task1420-644d6a1035744879a0c309485e868983", "input": "Problem: when greenville state university decided to move its fine arts collection to a new library , it had to package the collection in 20 - inch by 20 - inch by 12 - inch boxes . if the university pays $ 0.40 for every box , and if the university needs 2.16 million cubic inches to package the collection , what is the minimum amount the university must spend on boxes ? \nOptions: a ) $ 120 , b ) $ 180 , c ) $ 310 , d ) $ 450 , e ) $ 640", "output": [ "b" ] }, { "id": "task1420-3339a1fea3eb4260813bb15bbcb2c727", "input": "Problem: if 18 ! / 3 ^ x is an integer , what is the greatest possible value of x ? \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 8", "output": [ "e" ] }, { "id": "task1420-7face240d6e54eb7898104f56d543ea6", "input": "Problem: the average age of 7 men increases by 3 years when two women are included in place of two men of ages 18 and 22 years . find the average age of the women ? \nOptions: a ) 30.5 , b ) 26 , c ) 30 , d ) 18 , e ) 11", "output": [ "a" ] }, { "id": "task1420-e1be3e8610884326b547d6b73be333b5", "input": "Problem: if 15 students in a class average 70 % on an exam and 10 students average 90 % on the same exam , what is the average in percent for all 25 students ? \nOptions: a ) 78 % , b ) 79 % , c ) 80 % , d ) 81 % , e ) 82 %", "output": [ "a" ] }, { "id": "task1420-cfc5a6f1b19343248565604208d7b646", "input": "Problem: if 4 < x < 6 < y < 10 , then what is the greatest possible positive integer difference of x and y ? \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "c" ] }, { "id": "task1420-cb62b0c403844ea88d1258547709cae8", "input": "Problem: if 5 < x < 8 < y < 13 , then what is the greatest possible positive integer difference of x and y ? \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "e" ] }, { "id": "task1420-93581e1146244f208dd4e28dbece866b", "input": "Problem: what is the product of all the possible values of x if x ^ 2 + 5 x + 6 ? \nOptions: a ) 12 , b ) 18 , c ) 15 , d ) 6 , e ) 9", "output": [ "d" ] }, { "id": "task1420-9fcd41fbc0f744c193bcb6ae36763b2a", "input": "Problem: a certain ball team has an equal number of right - and left - handed players . on a certain day , two - thirds of the players were absent from practice . of the players at practice that day , two - third were right handed . what is the ratio of the number of right - handed players who were not at practice that day to the number of left handed players who were not at practice ? \nOptions: a ) 1 / 3 , b ) 2 / 3 , c ) 5 / 7 , d ) 7 / 5 , e ) 3 / 2", "output": [ "c" ] }, { "id": "task1420-b9d1c73e3fff4ed49bc0405e9dc4aaa6", "input": "Problem: if 5 x = 6 y and xy ≠ 0 , what is the ratio of 1 / 3 * x to 1 / 5 * y ? \nOptions: a ) 25 / 6 , b ) 36 / 25 , c ) 2 , d ) 5 / 6 , e ) 25 / 36", "output": [ "c" ] }, { "id": "task1420-bd1c8d410eef44adaf8ac582fa79186b", "input": "Problem: how many paying stones , each measuring 2 1 / 2 m * 2 m are required to pave a rectangular court yard 60 m long and 16 1 / 2 m board ? \nOptions: a ) 99 , b ) 18 , c ) 16 , d ) 198 , e ) 15", "output": [ "d" ] }, { "id": "task1420-40fb6e34a413491b9e752969ba3b3cad", "input": "Problem: if x and y are integers such that ( x + 1 ) ^ 2 is less than or equal to 16 and ( y - 1 ) ^ 2 is less than 64 , what is the sum of the maximum possible value of xy and the minimum possible value of xy ? \nOptions: a ) - 16 , b ) - 10 , c ) 0 , d ) 14 , e ) 16", "output": [ "b" ] }, { "id": "task1420-afd3ed04f61f424bafc9897dd7487800", "input": "Problem: for any integer n greater than 1 , n * denotes the product of all the integers from 1 to n , inclusive . how many prime numbers w are there between 6 * + 2 and 6 * + 6 , inclusive ? \nOptions: a ) none , b ) one , c ) two , d ) three , e ) four", "output": [ "a" ] }, { "id": "task1420-ff7470bdce144bdd977579e37d13cebc", "input": "Problem: the price of commodity x increases by 30 cents every year , while the price of commodity y increases by 20 cents every year . if in 2001 , the price of commodity x was $ 4.20 and the price of commodity y was $ 4.50 , in which year will commodity x cost 90 cents more than the commodity y ? \nOptions: a ) 2010 , b ) 2011 , c ) 2012 , d ) 2013 , e ) 2014", "output": [ "d" ] }, { "id": "task1420-e83cf34a52d8430fab47a13c7978dc37", "input": "Problem: if a # b = ab – b + b ^ 2 , then 3 # 6 = \nOptions: a ) 2 , b ) 8 , c ) 15 , d ) 21 , e ) 48", "output": [ "e" ] }, { "id": "task1420-c34dd083196e45319c8ad944b037b028", "input": "Problem: ( 17 ) 5.25 x ( 17 ) ? = 178 \nOptions: a ) 2.29 , b ) 2.75 , c ) 4.25 , d ) 4.5 , e ) none of these", "output": [ "b" ] }, { "id": "task1420-a645fcc56fe94a7386a8f38519519822", "input": "Problem: 0.0003 x 0.3 = ? \nOptions: a ) 0.0009 , b ) 9.0 e - 05 , c ) 0.09 , d ) 0.009 , e ) 9.0", "output": [ "b" ] }, { "id": "task1420-5fb280b5bb574f8581c96e73e99ba6a9", "input": "Problem: a salesman ' s income consists of a commission and a base salary of $ 450 per week . over the past 5 weeks , his weekly income totals have been $ 406 , $ 413 , $ 420 , $ 436 and $ 395 . what must his average ( arithmetic mean ) commission be per week over the next two weeks so that his average weekly income is $ 500 over the 7 - week period ? \nOptions: a ) $ 150 , b ) $ 245 , c ) $ 365 , d ) $ 715 , e ) $ 265", "output": [ "e" ] }, { "id": "task1420-a505b40b11184dd29088c0e25e6cd92e", "input": "Problem: a rower whose speed is 2.5 km / hr in still water rows to a certain point upstream and back to the starting point in a river which flows at 0.5 km / hr . what is the rower ' s average speed ( in km / hr ) for the total journey ? \nOptions: a ) 2.2 , b ) 2.3 , c ) 2.4 , d ) 2.5 , e ) 2.6", "output": [ "c" ] }, { "id": "task1420-78983742202d406e8b36b029eb93e76c", "input": "Problem: on dividing a number by 7 , we get 3 as quotient and 0 as remainder . on dividing the same number by 3 , what will be the remainder ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 0 , e ) 4", "output": [ "d" ] }, { "id": "task1420-491685615d014ec6ac357dec282bc54f", "input": "Problem: for any positive integer n , the sum of the first n positive integers equals n ( n + 1 ) / 2 . what is the sum of all the integers between 1 and 50 ? \nOptions: a ) 1275 , b ) 1542 , c ) 985 , d ) 1024 , e ) 1125", "output": [ "a" ] }, { "id": "task1420-cef86ce13bb04784ad8042a16fff5140", "input": "Problem: 3034 - ( 1002 / 20.04 ) = ? \nOptions: a ) 2984 , b ) 2983 , c ) 2982 , d ) 2981 , e ) none of these", "output": [ "a" ] }, { "id": "task1420-25d39f9ea38c400280dde8fe08cbc03d", "input": "Problem: cereal a is 10 % sugar by weight , whereas healthier but less delicious cereal b is 2 % sugar by weight . to make a delicious and healthy mixture that is 3 % sugar , what should be the ratio of cereal a to cereal b , by weight ? \nOptions: a ) 2 : 9 , b ) 2 : 7 , c ) 1 : 7 , d ) 1 : 4 , e ) 1 : 3", "output": [ "c" ] }, { "id": "task1420-7730fb95aeb54f5eb9cb3edc5445c7d8", "input": "Problem: there are 10 players in a chess group , and each player plays each of the others once . given that each game is played by two players , how many total games will be played ? \nOptions: a ) 10 , b ) 30 , c ) 45 , d ) 60 , e ) 90", "output": [ "c" ] }, { "id": "task1420-65eeeec2756741e7b491ada40ba8acc6", "input": "Problem: the present ages of 3 persons are in proportions 4 : 7 : 9 . 7 years ago , the sum of their ages was 79 . find their present ages . \nOptions: a ) 20 , 28 , b ) 28 , 36 , c ) 35 , 45 , d ) 35 , 55 , e ) of these", "output": [ "c" ] }, { "id": "task1420-92aa2ea2820a423fa0e2ee0a520fb02c", "input": "Problem: ( 6 ) 6.5 × ( 36 ) 4.5 ÷ ( 216 ) 4.5 = ( 6 ) ? \nOptions: a ) 1 , b ) 2 , c ) 4 , d ) 6 , e ) 8", "output": [ "b" ] }, { "id": "task1420-c094f9c226984b2aa3cf58aca2df1237", "input": "Problem: if a coin has an equal probability of landing heads up or tails up each time it is flipped , what is the probability that the coin will land heads up exactly twice in 2 consecutive flips ? \nOptions: a ) 0.125 , b ) 0.225 , c ) 0.25 , d ) 0.5 , e ) 0.666", "output": [ "c" ] }, { "id": "task1420-0de65cbc57f446a3b446b521673d17ca", "input": "Problem: a number is doubled and 9 is added . if resultant is trebled , it becomes 63 . what is that number \nOptions: a ) 6 , b ) 10 , c ) 12 , d ) 14 , e ) 15", "output": [ "a" ] }, { "id": "task1420-7d379df9b9124ebe913cce17e4f69501", "input": "Problem: positive integer y is 50 percent of 50 percent of positive integer x , and y percent of x equals 25 . what is the value of x ? \nOptions: a ) 25 , b ) 50 , c ) 75 , d ) 100 , e ) 125", "output": [ "d" ] }, { "id": "task1420-1331376433754b8c935274eded3229f1", "input": "Problem: find the average of all prime numbers between 30 and 50 ? \nOptions: a ) 18.9 , b ) 19.8 , c ) 39.8 , d ) 29.8 , e ) 20.8", "output": [ "c" ] }, { "id": "task1420-6ae47ac2c76141618b4d7b5aacba07a6", "input": "Problem: 0 , 1 , 4 , 15 , 64 , ____ \nOptions: a ) 225 , b ) 325 , c ) 125 , d ) 145 , e ) none", "output": [ "b" ] }, { "id": "task1420-f783b158687242a0b9ff309b54a446f7", "input": "Problem: for any integer p , * p is equal to the product of all the integers between 1 and p , inclusive . how many prime numbers are there between * 9 + 3 and * 9 + 9 , inclusive ? \nOptions: a ) none , b ) one , c ) two , d ) three , e ) four", "output": [ "a" ] }, { "id": "task1420-5207d107dc374e18bcd16541c4cadb1a", "input": "Problem: the instructions state that deepthi needs 4 / 17 square yards of one type of material and 3 / 10 square yards of another type of material for a project . she buys exactly that amount . after finishing the project , however , she has 9 / 30 square yards left that she did not use . what is the total amount of square yards of material deepthi used ? \nOptions: a ) 1 / 12 , b ) 4 / 17 , c ) 2 / 3 , d ) 1 1 / 9 , e ) 2 1 / 9", "output": [ "b" ] }, { "id": "task1420-934a61b42f534ca4992ba842c2925734", "input": "Problem: i chose a number and divide it by 4 . then i subtracted 18 from the result and got 7 . what was the number i chose ? \nOptions: a ) 600 , b ) 100 , c ) 800 , d ) 900 , e ) none", "output": [ "b" ] }, { "id": "task1420-1650b2fd87f8412cbb9c147c6002aaf3", "input": "Problem: if money is invested at r percent interest , compounded annually , the amount of the investment will double in approximately 70 / r years . if pat ' s parents invested $ 5,000 in a long - term bond that pays 8 percent interest , compounded annually , what will be the approximate total amount of the investment 18 years later , when pat is ready for college ? \nOptions: a ) $ 20000 , b ) $ 15000 , c ) $ 12000 , d ) $ 10000 , e ) $ 9000", "output": [ "a" ] }, { "id": "task1420-d1d790eccda64987b5eaadf263d9c85f", "input": "Problem: if a = 1 , what is the value of – ( a ^ 2 + a ^ 3 + a ^ 4 + a ^ 5 ) ? \nOptions: a ) - 14 , b ) - 4 , c ) 0 , d ) 4 , e ) 14", "output": [ "b" ] }, { "id": "task1420-0774fcb366914333a0f0a601cf627b95", "input": "Problem: the difference between the local value and the face value of 7 in the numeral 32675149 is \nOptions: a ) 69990 , b ) 69993 , c ) 70000 , d ) 77000 , e ) 78000", "output": [ "b" ] }, { "id": "task1420-a70a8c3dfd554c30b9dd56acc4ab3b0a", "input": "Problem: for any integer n greater than 1 , # n denotes the product of all the integers from 1 to n , inclusive . how many prime numbers w are there between # 6 + 2 and # 6 + 6 , inclusive ? \nOptions: a ) none , b ) one , c ) two , d ) three , e ) four", "output": [ "a" ] }, { "id": "task1420-1b5fe6be8088456192cf393faab51367", "input": "Problem: in a certain apartment building , there are one - bedroom and two - bedroom apartments . the rental prices of the apartment depend on a number of factors , but on average , two - bedroom apartments have higher rental prices than do one - bedroom apartments . let r be the average rental price for all apartments in the building . if r is $ 5,600 higher than the average rental price for all one - bedroom apartments , and if the average rental price for all two - bedroom apartments is $ 10,400 higher that r , then what percentage of apartments in the building are two - bedroom apartments ? \nOptions: a ) 26 % , b ) 35 % , c ) 39 % , d ) 42 % , e ) 52 %", "output": [ "b" ] }, { "id": "task1420-ada28a882e1e4a08b265bcd1254e2215", "input": "Problem: a man is 30 years older than his son . in four years , his age will be twice the age of his son . the present age of this son is \nOptions: a ) 22 years , b ) 23 years , c ) 24 years , d ) 25 years , e ) 26 years", "output": [ "e" ] }, { "id": "task1420-8139e98803af40db9bf399a763470b32", "input": "Problem: if a ( a + 6 ) = 7 and b ( b + 6 ) = 7 , where a ≠ b , then a + b = \nOptions: a ) − 48 , b ) − 6 , c ) 2 , d ) 46 , e ) 48", "output": [ "b" ] }, { "id": "task1420-df2ae37fdebc43e3a163835e82004e2d", "input": "Problem: the average age of 15 students of a class is 15 years . out of these , the average age of 5 students is 14 years and that of the other 9 students is 16 years , the age of the 15 th student is \nOptions: a ) 11 , b ) 15 , c ) 6 , d ) 8 , e ) 76", "output": [ "a" ] }, { "id": "task1420-d2965d4befa04219a9a4e80559efcc73", "input": "Problem: if 9 is added to thrice a number and this sum is multiplied by 6 , the result is the same as if the number is multiplied by 7 and 10 is added to the product . what is the number ? \nOptions: a ) - 7 , b ) - 8 , c ) - 9 , d ) - 10 , e ) - 11", "output": [ "e" ] }, { "id": "task1420-c571123396ac446986da41465cee4d02", "input": "Problem: a palindrome is a number that reads the same front - to - back as it does back - to - front ( e . g . 202 , 575 , 1991 , etc . ) p is the smallest integer greater than 400 that is both a prime and a palindrome . what is the sum of the digits of p ? \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "a" ] }, { "id": "task1420-33d91e8810654d1a893bd4418d4b4398", "input": "Problem: 40 onions on a scale weigh 7.68 kg . when 5 onions are removed from the scale , the average weight of the 35 onions is 190 grams . what is the average weight ( in grams ) of the 5 onions which were removed ? \nOptions: a ) 200 , b ) 202 , c ) 204 , d ) 206 , e ) 208", "output": [ "d" ] }, { "id": "task1420-2dcd62f0cbac47a38f1f30d42cbd886d", "input": "Problem: 3889 + 12.808 - ? = 3854.002 \nOptions: a ) a ) 47.095 , b ) b ) 47.752 , c ) c ) 47.806 , d ) d ) 47.95 , e ) of the above", "output": [ "c" ] }, { "id": "task1420-7bddaf2c9fa44481a6e4d6ab9e6f08dd", "input": "Problem: the equal amounts of money are deposited in two banks each at 15 % per annum for 3.5 years and 5 years respectively . if the difference between their interests is rs . 144 , find the each sum ? \nOptions: a ) 640 , b ) 500 , c ) 3000 , d ) 1000 , e ) 2000", "output": [ "a" ] }, { "id": "task1420-4ae936ca213e43bc9fa71930731f1a59", "input": "Problem: find the value of x from logx 100 = 2 \nOptions: a ) 10 , b ) 12 , c ) 13 , d ) 14 , e ) 15", "output": [ "a" ] }, { "id": "task1420-2b41aaebc57d4e5e8c92fc5fbf8b6e96", "input": "Problem: working alone , printers x , y , and z can do a certain printing job , consisting of a large number of pages , in 16 , 12 , and 8 hours , respectively . what is the ratio of the time it takes printer x to do the job , working alone at its rate , to the time it takes printers y and z to do the job , working together at their individual rates ? \nOptions: a ) 5 / 2 , b ) 7 / 4 , c ) 8 / 5 , d ) 10 / 3 , e ) 12 / 5", "output": [ "d" ] }, { "id": "task1420-a0c356d695ff4c8d9e347fd5cb218ea9", "input": "Problem: subash can copy 50 pages in 10 hrs . subash and prakash together can copy 300 pages in 40 hours . in how much time prakash can copy 25 pages . \nOptions: a ) 8 , b ) 10 , c ) 12 , d ) 14 , e ) 16", "output": [ "b" ] }, { "id": "task1420-73e6ee7a8754477f8da4cc3d63ba8a56", "input": "Problem: a total of 520 players participated in a single tennis knock out tournament . what is the total number of matches played in the tournament ? ( knockout means if a player loses , he is out of the tournament ) . no match ends in a tie . \nOptions: a ) 511 , b ) 519 , c ) 256 , d ) 255 , e ) 1023", "output": [ "b" ] }, { "id": "task1420-3f3c9a9e728e401f8080b7f6f19eb277", "input": "Problem: a satellite is composed of 24 modular units , each of which is equipped with a set of sensors , some of which have been upgraded . each unit contains the same number of non - upgraded sensors . if the number of non - upgraded sensors on one unit is 1 / 6 the total number of upgraded sensors on the entire satellite , what fraction of the sensors on the satellite have been upgraded ? \nOptions: a ) 5 / 6 , b ) 1 / 5 , c ) 1 / 6 , d ) 1 / 7 , e ) 1 / 24", "output": [ "b" ] }, { "id": "task1420-a36c2fc4139d465a983614b555099273", "input": "Problem: 5 , 7 , 11 , 18 , 33 , ( . . . ) \nOptions: a ) 22 , b ) 35 , c ) 27 , d ) 63 , e ) 25", "output": [ "d" ] }, { "id": "task1420-80eea3eede814f11a2297c3703785849", "input": "Problem: what is the sum of all 3 digit integers formed using the digits 34 and 5 ( repetition is allowed ) \nOptions: a ) 11982 , b ) 11984 , c ) 11985 , d ) 11988 , e ) 11986", "output": [ "d" ] }, { "id": "task1420-ee4b1af3515b4e02a8ecfeb4187b5a9c", "input": "Problem: when positive integer n is divided by 3 , the remainder is 1 . when n is divided by 7 , the remainder is 5 . what is the smallest positive integer k such that k + n is a multiple of 21 ? \nOptions: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 10", "output": [ "a" ] }, { "id": "task1420-0f20417fcca44b3699f2060fa8c4f503", "input": "Problem: 60 percent of movie theatres in town x have 1 screens or less . 20 % of those theatres sell an average of more than $ 300 worth of popcorn per showing . 56 percent of all the movie theatres in town x sell $ 300 or less of popcorn per showing . what percent of all the stores on the street have 4 or more screens and sell an average of more than $ 300 worth of popcorn per day ? \nOptions: a ) 12 , b ) 18 , c ) 32 , d ) 40 , e ) 44", "output": [ "d" ] }, { "id": "task1420-c36e54ecb2ed49d19a695a12f25fa5fb", "input": "Problem: a number when divided by 4 , gives 40 as quotient and 0 as remainder . what will be the remainder when dividing the same number by 3 \nOptions: a ) a ) 1 , b ) b ) 3 , c ) c ) 4 , d ) d ) 6 , e ) e ) 7", "output": [ "a" ] }, { "id": "task1420-08a0eb43809a4a5abc43b6a5968da044", "input": "Problem: in the xy - coordinate system , if ( m , n ) and ( m + 2 , n + k ) are two points on the line with the equation x = 2 y + 3 , then k = \nOptions: a ) 1 / 2 , b ) 1 , c ) 2 , d ) 5 / 2 , e ) 4", "output": [ "b" ] }, { "id": "task1420-874a3a1d405243b08f4415939b50124e", "input": "Problem: for every even positive integer m , f ( m ) represents the product of all even integers from 2 to m , inclusive . for example , f ( 12 ) = 2 x 4 x 6 x 8 x 10 x 12 . what is the greatest prime factor of f ( 34 ) ? \nOptions: a ) 2 , b ) 7 , c ) 13 , d ) 17 , e ) 19", "output": [ "d" ] }, { "id": "task1420-10754420adc24444a9f93ea00b57669f", "input": "Problem: the cost to park a car in a certain parking garage is $ 12.00 for up to 2 hours of parking and $ 1.75 for each hour in excess of 2 hours . what is the average ( arithmetic mean ) cost per hour to park a car in the parking garage for 9 hours ? \nOptions: a ) $ 1.09 , b ) $ 2.69 , c ) $ 2.25 , d ) $ 2.37 , e ) $ 2.50", "output": [ "b" ] }, { "id": "task1420-cf59fa1a65a84bc0bbc2631f17fd1316", "input": "Problem: in a fuel station the service costs $ 1.75 per car , every liter of fuel costs 0.65 $ . assuming that a company owns 12 cars and that every fuel tank contains 55 liters and they are all empty , how much money total will it cost to fuel all cars ? \nOptions: a ) 320 $ , b ) 380 $ , c ) 420 $ , d ) 450 $ , e ) 480 $", "output": [ "d" ] }, { "id": "task1420-a889a5b3741342cc93bfdc2641d43b18", "input": "Problem: the salary of a , b , c , d , e is rs . 8000 , rs . 5000 , rs . 15000 , rs . 7000 , rs . 9000 per month respectively , then the average salary of a , b , c , d , and e per month is \nOptions: a ) rs . 7000 , b ) rs . 8000 , c ) rs . 8800 , d ) rs . 9000 , e ) none", "output": [ "c" ] }, { "id": "task1420-c71205cea9324ebc91e321f1e2e19f6a", "input": "Problem: in the faculty of reverse - engineering , 500 second year students study numeric methods , 300 second year students study automatic control of airborne vehicles and 300 second year students study them both . how many students are there in the faculty if the second year students are approximately 50 % of the total ? \nOptions: a ) 1100 , b ) 1200 , c ) 1150 , d ) 1000 , e ) 1050", "output": [ "d" ] }, { "id": "task1420-f9aa8e3d342944e88ae53421da1bf952", "input": "Problem: the average weight of 19 students is 15 kg . by the admission of a new student the average weight is reduced to 14.7 kg . the weight of the new student is ? \nOptions: a ) 10.6 kg , b ) 10.8 kg , c ) 11 kg , d ) 14.9 kg , e ) none", "output": [ "e" ] }, { "id": "task1420-06804c58db72455aa7731aeda42bea10", "input": "Problem: calculate the ratio between x and y if 90 % of x equal to 60 % of y ? \nOptions: a ) 1 : 2 , b ) 3 : 5 , c ) 3 : 2 , d ) 3 : 4 , e ) 5 : 2", "output": [ "c" ] }, { "id": "task1420-cc8e921d122c4b8caadca5fec34cfd5b", "input": "Problem: the value of a scooter depreciates in such a way that its value of the end of each year is 3 / 4 of its value of the beginning of the same year . if the initial value of the scooter is rs . 40,000 , what is the value at the end of 6 years ? \nOptions: a ) 3277 , b ) 2977 , c ) 7119 , d ) 6077 , e ) 17112", "output": [ "c" ] }, { "id": "task1420-2abb203384824898b9625b0b901f023d", "input": "Problem: the average monthly salary of 20 employees in an organisation is rs . 1500 . if the manager ' s salary is added , then the average salary increases by rs . 150 . what is the manager ' s monthly salary ? \nOptions: a ) rs . 6003 , b ) rs . 6029 , c ) rs . 4650 , d ) rs . 6108 , e ) rs . 6011", "output": [ "c" ] }, { "id": "task1420-79589dd34ef540d6a26ecee993357214", "input": "Problem: in a caravan , in addition to 50 hens there are 45 goats and 8 camels with some keepers . if the total number of feet be 224 more than the number of heads , find the number of keepers . \nOptions: a ) 25 , b ) 20 , c ) 15 , d ) 13 , e ) 14", "output": [ "c" ] }, { "id": "task1420-8bd871d754f34fb58aaa24927013212c", "input": "Problem: in goshawk - eurasian nature reserve 30 percent of the birds are hawks , and 40 percent of the non - hawks are paddyfield - warblers . if there are 25 percent as many kingfishers as paddyfield - warblers in the reserve , then what percent of the birds b in the nature reserve are not hawks , paddyfield - warblers , or kingfishers ? \nOptions: a ) 25 % , b ) 35 % , c ) 45 % , d ) 70 % , e ) 80 %", "output": [ "b" ] }, { "id": "task1420-a041187ad5e848dc87549fe1eeaf3474", "input": "Problem: find the average of first 4 multiples of 12 ? \nOptions: a ) 10 , b ) 12.6 , c ) 22.5 , d ) 30 , e ) 40.8", "output": [ "d" ] }, { "id": "task1420-a2f6998758e94c7088f852fbb4a6062e", "input": "Problem: each of the products produced yesterday was checked by worker x or worker y . 0.5 % of the products checked by worker x are defective and 0.8 % of the products checked by worker y are defective . if the total defective rate of all the products checked by worker x and worker y is 0.55 % , what fraction of the products was checked by worker y ? \nOptions: a ) 1 / 3 , b ) 1 / 4 , c ) 1 / 5 , d ) 1 / 6 , e ) 1 / 8", "output": [ "d" ] }, { "id": "task1420-4b0317f10c194b13a9e5b505fc79f07b", "input": "Problem: there are 2 friends peter and paul . peter age is twice as old as paul when peter was as old as paul is now . sum of the present ages of peter and paul is 35 . what is the present age of peter ? \nOptions: a ) 10 , b ) 15 , c ) 20 , d ) 25 , e ) 30", "output": [ "c" ] }, { "id": "task1420-50eaae2d1ad64ba8af822e6c0de3987e", "input": "Problem: the avearge score of a cricketer for 10 matches is 38.9 runs . if the average for the first 6 matches is 41 . then find the average for the last 4 matches ? \nOptions: a ) 33.25 , b ) 35.75 , c ) 34.25 , d ) 35 , e ) none", "output": [ "b" ] }, { "id": "task1420-6809389b932048788d86419427a6b712", "input": "Problem: the number of positive integer solutions for the equation x + y + z + t = 18 is \nOptions: a ) 640 , b ) 780 , c ) 380 , d ) 540 , e ) 680", "output": [ "e" ] }, { "id": "task1420-dc074266ac464e33a9bb1487037969c3", "input": "Problem: how many prime numbers are between 78 / 14 and 55 / 4 ? \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6", "output": [ "b" ] }, { "id": "task1420-4ef2ba5db2a84082a44979d587a89461", "input": "Problem: working alone , printers x , y , and z can do a certain printing job , consisting of a large number of pages , in 12 , 30 , and 40 hours , respectively . what is the ratio of the time it takes printer x to do the job , working alone at its rate , to the time it takes printers y and z to do the job , working together at their individual rates ? \nOptions: a ) 4 / 11 , b ) 1 / 2 , c ) 15 / 22 , d ) 120 / 7 , e ) 11 / 4", "output": [ "d" ] }, { "id": "task1420-e6e99352addc4bd99cc40131d571f312", "input": "Problem: the average weight of 24 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg . find the average weights of all the boys in the class . \nOptions: a ) 48.975 , b ) 42.255 , c ) 50 , d ) 51.255 , e ) 52.253", "output": [ "a" ] }, { "id": "task1420-8fab02a246d54b1f99dc88ead6212881", "input": "Problem: how many 2 digit number contain number 3 ? \nOptions: a ) 18 , b ) 28 , c ) 38 , d ) 68 , e ) 58", "output": [ "a" ] }, { "id": "task1420-717a2216ded447b497ffd76ea6f74418", "input": "Problem: 1 * 2 + 2 * 2 ^ 2 + 3 * 2 ^ 3 + 4 * 2 ^ 4 … … … … … … … … + 2012 * 2 ^ 2012 \nOptions: a ) 8100312 , b ) 8100313 , c ) 8100412 , d ) 8200312 , e ) 8300312", "output": [ "a" ] }, { "id": "task1420-935ebb0607334d71adcbc99272128711", "input": "Problem: in a certain game , a large bag is filled with blue , green , purple and red chips worth 1 , 5 , x and 11 points each , respectively . the purple chips are worth more than the green chips , but less than the red chips . a certain number of chips are then selected from the bag . if the product of the point values of the selected chips is 88,000 , how many purple chips were selected ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "b" ] }, { "id": "task1420-97cc960a616c47c8ae9d218b1ccc3834", "input": "Problem: a certain city with a population of 108,000 is to be divided into 11 voting districts , and no district is to have a population that is more than 10 percent greater than the population of any other district what is the minimum possible population that the least populated district could have ? \nOptions: a ) a ) 10,700 , b ) b ) 10,800 , c ) c ) 9,000 , d ) d ) 11,000 , e ) e ) 11,100", "output": [ "c" ] }, { "id": "task1420-001a4223d78742908648cdca9da54fbc", "input": "Problem: on a certain day , orangeade was made by mixing a certain amount of orange juice with an equal amount of water . on the next day , orangeade was made by mixing the same amount of orange juice with twice the amount of water . on both days , all the orangeade that was made was sold . if the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $ 0.50 per glass on the first day , what was the price per glass on the second day ? \nOptions: a ) $ 0.15 , b ) $ 0.20 , c ) $ 0.33 , d ) $ 0.40 , e ) $ 0.45", "output": [ "c" ] }, { "id": "task1420-2a64f0827798438d94c67b8e08a4ec06", "input": "Problem: maths , physics and chemistry books are stored on a library shelf that can accommodate 25 books . currently , 20 % of the shelf spots remain empty . there are twice as many maths books as physics books and the number of physics books is 4 greater than that of chemistry books . among all the books , 12 books are soft cover and the remaining are hard - cover . if there are a total of 7 hard - cover books among the maths and physics books . what is the probability q , that a book selected at random is either a hard cover book or a chemistry book ? \nOptions: a ) 1 / 10 , b ) 3 / 20 , c ) 1 / 5 , d ) 1 / 4 , e ) 9 / 20", "output": [ "e" ] }, { "id": "task1420-42581ac5943744ad9e1823ccb292c282", "input": "Problem: a person ' s present age is one - fifth of the age of his mother . after 8 years , he will be one - half of the age of his mother . how old is the mother at present ? \nOptions: a ) a ) 25 , b ) b ) 44 , c ) c ) 32 , d ) d ) 45 , e ) e ) 40", "output": [ "e" ] }, { "id": "task1420-5bbae36cee2048a89dfb80dc62b0b59b", "input": "Problem: for all even integers n , h ( n ) is defined to be the sum of the even integers between 4 and n , inclusive . what is the value of h ( 18 ) / h ( 10 ) ? \nOptions: a ) 3 , b ) 1.8 , c ) 6 , d ) 18 , e ) 60", "output": [ "a" ] }, { "id": "task1420-a4304f8a0569420caa788efa0ad45248", "input": "Problem: set s contains exactly 10 numbers and has an average ( arithmetic mean ) of 6.2 . if one of the numbers in set s is increased by 8 , while all other numbers remain the same , what is the new average of set s ? \nOptions: a ) 6.6 , b ) 6.7 , c ) 6.8 , d ) 7.0 , e ) 6.9", "output": [ "d" ] }, { "id": "task1420-48f9b7942cf74bc4b88b4e7418009a00", "input": "Problem: if 5 + 7 / x = 6 - 5 / x , then x = \nOptions: a ) 7 , b ) 14 , c ) 12 , d ) 6 / 7 , e ) 5", "output": [ "c" ] }, { "id": "task1420-2e163922c6d6467fb45ec6cace0c3b5c", "input": "Problem: a certain characteristic in a large population has a distribution that is symmetric about the mean m . if 68 % of the distribution lies one standard deviation g of the mean , what percent of the distribution is less than m + g ? \nOptions: a ) 16 % , b ) 32 % , c ) 48 % , d ) 84 % , e ) 92 %", "output": [ "d" ] }, { "id": "task1420-681da1ab8a87415d9366f1581f8a4ed3", "input": "Problem: when positive integer t is divided by 13 , the remainder is 2 . when n is divided by 8 , the remainder is 5 . how many such values are less than 180 ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4", "output": [ "b" ] }, { "id": "task1420-5b59264d742741af80f6c9116642ebd8", "input": "Problem: find large no . from below question the difference of two numbers is 1365 . on dividing the larger number by the smaller , we get 6 as quotient and the 35 as remainder \nOptions: a ) 1235 , b ) 1456 , c ) 1567 , d ) 1678 , e ) 1631", "output": [ "e" ] }, { "id": "task1420-3cbb910c5d07424eb24604b3057ed78e", "input": "Problem: if ( 1 / 2 ) ^ 25 ( 1 / 81 ) ^ k = 1 / 18 ^ 25 , then k = \nOptions: a ) 8 , b ) 12.5 , c ) 16 , d ) 24 , e ) 36", "output": [ "b" ] }, { "id": "task1420-03f590da824f4b27a7a6a13accb8e5e2", "input": "Problem: a number x is multiplied by 7 , and this product is then divided by 3 . if the positive square root of the result of these two operations equals x , what is the value of x if x ≠ 0 ? \nOptions: a ) 25 / 9 , b ) 7 / 3 , c ) 5 / 3 , d ) 3 / 5 , e ) 9 / 25", "output": [ "b" ] }, { "id": "task1420-6abc08dd68474be993ed82e64c3aca7c", "input": "Problem: how many numbers between 190 and 580 are divisible by 45 and 6 ? \nOptions: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10", "output": [ "a" ] }, { "id": "task1420-7233484e54114676a8b38fcf4b540d0c", "input": "Problem: there are 50 boys in a class . their average weight is 45 kg . when one boy leaves the class , the average reduces by 100 g . find the weight of the boy who left the class . \nOptions: a ) 40.9 kg , b ) 42.9 kg , c ) 49.9 kg , d ) 39.9 kg , e ) none of these", "output": [ "c" ] }, { "id": "task1420-72fd4c0525a94f8cace51a5619a3641a", "input": "Problem: a heap of grapes is divided into groups of 3 , 5 and 7 and each time one coconut is left over . the least number of grapes in the heap is ? a . 31 b . 41 c . 51 d . 61 \nOptions: a ) a ) 31 , b ) b ) 41 , c ) c ) 106 , d ) d ) 61 , e ) e ) 71", "output": [ "c" ] }, { "id": "task1420-1472cac5e5554ca8890fe727db47c77e", "input": "Problem: if x / 4 years ago roger was 14 years old and x / 4 years from now he will be 4 x years old , how old will he be 3 x years from now ? \nOptions: a ) 32 , b ) 35 , c ) 30 , d ) 40 , e ) 27", "output": [ "e" ] }, { "id": "task1420-27a38b30cfca40f991a7bdf39fc4952b", "input": "Problem: how many of the positive divisors of 120 are also multiples of 4 not including 120 ? \nOptions: a ) 3 . , b ) 4 . , c ) 5 . , d ) 7 . , e ) 8 .", "output": [ "c" ] }, { "id": "task1420-0ba24048cc4847e5937ab4205e9b48cc", "input": "Problem: if p and q are prime numbers , how many divisors does the product p ^ 4 * q ^ 9 have ? \nOptions: a ) 30 , b ) 35 , c ) 40 , d ) 50 , e ) 60", "output": [ "d" ] }, { "id": "task1420-4b6e8e359b0a43058d8fca8e71538a92", "input": "Problem: in 2000 there were 10000 women stockbrokers in the united states . by 2005 the number had increased to 20000 . approximately what was the percent increase ? \nOptions: a ) 1 % , b ) 2 % , c ) 1.5 % , d ) 3 % , e ) 4 %", "output": [ "a" ] }, { "id": "task1420-ec2ee28774324170819ffa0187824eb0", "input": "Problem: the value of ( . 02 ) 2 + ( 0.52 ) 2 + ( 0.035 ) 2 / ( 0.002 ) 2 + ( 0.052 ) 2 + ( 0.0035 ) 2 \nOptions: a ) 100 , b ) 1000 , c ) . 001 , d ) . 0001 , e ) . 01", "output": [ "a" ] }, { "id": "task1420-312cb4ec563d44e7b746a96425aed58d", "input": "Problem: what is the remainder when 43 ^ 92 is divided by 5 ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4", "output": [ "b" ] }, { "id": "task1420-d3c902f1fcaa44cf93af445715dabfa9", "input": "Problem: the captain of a cricket team of 11 members is 27 years old and the wicket keeper is 1 year older . if the ages of these two are excluded , the average age of the remaining players is one year less than the average age of the whole team . what is the average age of the team ? \nOptions: a ) 20 , b ) 21 , c ) 22 , d ) 23 , e ) 24", "output": [ "d" ] }, { "id": "task1420-adaac61f3b2448e5a5222292a6829f50", "input": "Problem: if a * b * c = ( √ ( a + 2 ) ( b + 3 ) ) / ( c + 1 ) , find the value of 6 * 15 * 11 . \nOptions: a ) 8 , b ) 5 , c ) 1 , d ) 3 , e ) 4", "output": [ "c" ] }, { "id": "task1420-50cb64ae73ea4cf39d66fc2a203f2bba", "input": "Problem: what is the total number of integers between 20 and 70 that are divisible by 2 ? \nOptions: a ) 19 , b ) 25 , c ) 24 , d ) 26 , e ) 20", "output": [ "b" ] }, { "id": "task1420-b0e25facec7f46d08b27630b165a38e8", "input": "Problem: the difference between a number and its two - fifth is 510 . what is 30 % of that number ? \nOptions: a ) 158 , b ) 200 , c ) 255 , d ) 400 , e ) 280", "output": [ "c" ] }, { "id": "task1420-37079b11bbc140779431036f15263602", "input": "Problem: how many numbers between 190 and 580 are divisible by 4,5 and 6 ? \nOptions: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10", "output": [ "a" ] }, { "id": "task1420-7ea4cbe1511a4e1cae886220b09fd680", "input": "Problem: if x = 1 + √ 2 , then what is the value of x 4 - 4 x 3 + 4 x 2 + 4 ? \nOptions: a ) - 1 , b ) 0 , c ) 5 , d ) 2 , e ) 3", "output": [ "c" ] }, { "id": "task1420-9ca23360d41b4b55b17fb2152dd55810", "input": "Problem: there were totally 100 men . 84 are married . 75 have t . v , 85 have radio , 70 have a . c . how many men have t . v , radio , a . c and also married ? \nOptions: a ) 11 , b ) 12 , c ) 13 , d ) 14 , e ) 15", "output": [ "d" ] }, { "id": "task1420-f239009643f74f139a103195f100baf9", "input": "Problem: how much water should be added to 15 liters of a 20 % - solution of alcohol to reduce the concentration of alcohol in the solution by 75 % ? \nOptions: a ) 25 liters , b ) 27 liters , c ) 30 liters , d ) 32 liters , e ) 35 liters", "output": [ "a" ] }, { "id": "task1420-6956f60614eb4d899f37bd0f54f374fa", "input": "Problem: a , b and c invest in the ratio of 3 : 4 : 5 . the percentage of return on their investments are in the ratio of 6 : 5 : 4 . find the total earnings , if b earns rs . 250 more than a : \nOptions: a ) 2348 , b ) 7250 , c ) 2767 , d ) 1998 , e ) 2771", "output": [ "b" ] }, { "id": "task1420-72a43528ab4e496a9d6f033f870e19d9", "input": "Problem: a sum of money is to be divided among ann , bob and chloe . first , ann receives $ 4 plus one - half of what remains . next , bob receives $ 4 plus one - third of what remains . finally , chloe receives the remaining $ 32 . how much money j did bob receive ? \nOptions: a ) 20 , b ) 22 , c ) 24 , d ) 26 , e ) 52", "output": [ "b" ] }, { "id": "task1420-88cb400089a54575811fff3e8d93292e", "input": "Problem: ( 112 x 5 ^ 4 ) = ? \nOptions: a ) 70000 , b ) 80000 , c ) 90000 , d ) 90090 , e ) 100000", "output": [ "a" ] }, { "id": "task1420-1080d5d81b3c45a4a97fdbad529b9cbf", "input": "Problem: if | 4 x + 14 | = 46 , what is the sum of all the possible values of x ? \nOptions: a ) 2 , b ) - 7 , c ) 4 , d ) - 5 , e ) 6", "output": [ "b" ] }, { "id": "task1420-5693bcc19c8e4cb8bc9c2d9bae65362e", "input": "Problem: the sum q of prime numbers that are greater than 60 but less than 70 is \nOptions: a ) 67 , b ) 128 , c ) 191 , d ) 197 , e ) 260", "output": [ "b" ] }, { "id": "task1420-26a49ec214804976b3b80a6289da013b", "input": "Problem: in expressing a length of 61.472 km as nearly as possible with the 3 significant digits , find the percentage error ? \nOptions: a ) 0.35 % , b ) 0.4 % , c ) 0.045 % , d ) 0.6 % , e ) none of these", "output": [ "c" ] }, { "id": "task1420-3aaef0e2cc4a49039805af966e932ca0", "input": "Problem: a factory producing tennis balls stores them in either big boxes , 25 balls per box , or small boxes , with 17 balls per box . if 94 freshly manufactured balls are to be stored , what is the least number of balls that can be left unboxed ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4", "output": [ "b" ] }, { "id": "task1420-ca91c08b9e804109a5e53852b6535d5d", "input": "Problem: what is the remainder if 7 ^ 3 is divided by 100 ? \nOptions: a ) 52 , b ) 35 , c ) 42 , d ) 41 , e ) 43", "output": [ "e" ] }, { "id": "task1420-a04a8b7300194eb4a235e6e94085d020", "input": "Problem: how many multiples of 5 are there between 5 to 105 ? \nOptions: a ) 9 , b ) 18 , c ) 17 , d ) none of these , e ) 19", "output": [ "e" ] }, { "id": "task1420-ce3116694d084c48bf59597f7caeceff", "input": "Problem: find the quotient : 0.0204 / 17 \nOptions: a ) 0.012 , b ) 0.12 , c ) 0.0012 , d ) 0.00012 , e ) none of them", "output": [ "c" ] }, { "id": "task1420-993f76408c324b5aa62645b2eeba418a", "input": "Problem: a soft drink company had 6000 small and 15000 big bottles in storage . if 12 % of small 14 % of big bottles have been sold , then the total bottles remaining in storage is \nOptions: a ) 15360 , b ) 16010 , c ) 18180 , d ) 14930 , e ) 16075", "output": [ "c" ] }, { "id": "task1420-9a608f13b3044d18b840ada154fed963", "input": "Problem: a batsman in his 12 th innings makes a score of 75 and thereby increases his average by 1 runs . what is his average after the 12 th innings if he had never been ‘ not out ’ ? \nOptions: a ) 42 , b ) 43 , c ) 44 , d ) 64 , e ) 46", "output": [ "d" ] }, { "id": "task1420-708cd9c6daba422da6bbb5619bc8ac2f", "input": "Problem: sandy bought 65 books for $ 1180 from one shop and 55 books for $ 860 from another shop . what is the average price that sandy paid per book ? \nOptions: a ) $ 13 , b ) $ 15 , c ) $ 17 , d ) $ 19 , e ) $ 21", "output": [ "c" ] }, { "id": "task1420-452cd55f0e6f400e80c24de3e3e2003a", "input": "Problem: if a = { 17 , 27 , 31 , 53 , 61 } , what is the sum of mean and median of the numbers in a ? \nOptions: a ) 69 , b ) 75 , c ) 82 , d ) 91 , e ) 56", "output": [ "a" ] }, { "id": "task1420-f95c13e38fe341f8bf669118336f3e75", "input": "Problem: a number when divided by 779 gives a remainder 47 . by dividing the same number by 19 , what would be the remainder ? \nOptions: a ) 9 , b ) 8 , c ) 7 , d ) 6 , e ) 5", "output": [ "a" ] }, { "id": "task1420-8251f2de6ce94653a6355b26779e88a6", "input": "Problem: village p ’ s population is 800 greater than village q ' s population . if village q ’ s population were reduced by 500 people , then village p ’ s population would be 3 times as large as village q ' s population . what is village q ' s current population ? \nOptions: a ) 1100 , b ) 1150 , c ) 1200 , d ) 1250 , e ) 1300", "output": [ "b" ] }, { "id": "task1420-973d7b7c5d554b7bb4cc81c2d10b3703", "input": "Problem: in a certain school , 25 % of students are below 8 years of age . the number of students above 8 years of age is 2 / 3 of the number of students of 8 years of age which is 36 . what is the total number of students in the school ? \nOptions: a ) 72 , b ) 80 , c ) 120 , d ) 150 , e ) 100", "output": [ "b" ] }, { "id": "task1420-21819534503f4fa0abb7d0a790b6f383", "input": "Problem: in a room filled with 6 people , all 6 people have exactly 1 sibling in the room . if two individuals are selected from the room at random , what is the probability that those two individuals are not siblings ? \nOptions: a ) 3 / 5 , b ) 4 / 5 , c ) 5 / 6 , d ) 5 / 12 , e ) 7 / 12", "output": [ "b" ] }, { "id": "task1420-b1f99beb11704c17ac0e119b7307062e", "input": "Problem: each of 3 charities in novel grove estates has 8 persons serving on its board of directors . if exactly 4 persons serve on 3 boards each and each pair of charities has 5 persons in common on their boards of directors , then how many distinct persons serve on one or more boards of directors ? a . b . c . d . e . \nOptions: a ) 8 , b ) 13 , c ) 16 , d ) 24 , e ) 27", "output": [ "b" ] }, { "id": "task1420-4ef153e97db1423cacba42f67f64e0bc", "input": "Problem: the average age of 32 students in a group is 10 years . when teacher ' s age is included to it , the average increases by one . what is the teacher ' s age in years ? \nOptions: a ) 45 , b ) 43 , c ) 51 , d ) 53 , e ) 57", "output": [ "b" ] }, { "id": "task1420-e027162bb10542a1be521ede1a0ae8f1", "input": "Problem: a factory producing tennis balls stores them in either big boxes , 25 balls per box , or small boxes , 20 balls per box . if 76 freshly manufactured balls are to be stored , what is the least number of balls that can be left unboxed ? \nOptions: a ) 2 , b ) 1 , c ) 4 , d ) 6 , e ) 8", "output": [ "b" ] }, { "id": "task1420-6b220aa867154b9e9bc6dbd31cc9f591", "input": "Problem: in the faculty of reverse - engineering , 226 second year students study numeric methods , 423 second year students study automatic control of airborne vehicles and 134 second year students study them both . how many students are there in the faculty if the second year students are approximately 60 % of the total ? \nOptions: a ) 858 . , b ) 545 . , c ) 618 . , d ) 644 . , e ) 666 .", "output": [ "a" ] }, { "id": "task1420-ed50c84f7c8e48739118c55943d0578c", "input": "Problem: if 3 x – 5 y = 5 and x / x + y = 5 / 7 , then what is the value of x – y ? \nOptions: a ) 9 , b ) 6 , c ) 4 , d ) 3 , e ) none of these", "output": [ "d" ] }, { "id": "task1420-848525836d76420c845599bca2f2438b", "input": "Problem: how many positive integers less than 23 are prime numbers , odd multiples of 5 , or the sum of a positive multiple of 2 and a positive multiple of 4 ? \nOptions: a ) 17 , b ) 25 , c ) 24 , d ) 22 , e ) 20", "output": [ "a" ] }, { "id": "task1420-dcb4a55aaf89450d94661cf0b193381d", "input": "Problem: if it takes a tub 2 minutes to drain 5 / 7 of its content , how much more time will it take for the tub to be empty ? \nOptions: a ) 48 seconds , b ) 1 minute , 12 seconds , c ) 1 minute , 50 seconds , d ) 2 minutes , 14 seconds , e ) 4 minutes , 12 seconds", "output": [ "a" ] }, { "id": "task1420-09b331cf09894ccfa8a59ba65ae88caa", "input": "Problem: how many even number in the range between 25 to 100 inclusive are not divisible by 3 \nOptions: a ) 27 , b ) 30 , c ) 31 , d ) 33 , e ) 46", "output": [ "a" ] }, { "id": "task1420-ce1434d9861242e2959d99d5a2b223e1", "input": "Problem: in a box of 8 pens , a total of 3 are defective . if a customer buys 2 pens selected at random from the box , what is the probability that neither pen will be defective ? \nOptions: a ) 2 / 10 , b ) 3 / 11 , c ) 4 / 13 , d ) 5 / 14 , e ) 6 / 17", "output": [ "d" ] }, { "id": "task1420-e6502eb5219246d88e1be0b0b9acaec7", "input": "Problem: what is the units digit of the expression 13 ^ 27 + 1 ? \nOptions: a ) 1 , b ) 3 , c ) 4 , d ) 8 , e ) 9", "output": [ "d" ] }, { "id": "task1420-452f33ce6d0d45fe95479c594ed81e14", "input": "Problem: 10 / 21 of 3 / 5 of a number is greater than 4 / 7 of 1 / 5 of the same number by 36 . what is half of that number ? \nOptions: a ) 105 , b ) 180 , c ) 210 , d ) 240 , e ) 315", "output": [ "a" ] }, { "id": "task1420-db8b4e56639f4b4195cdbf5e55cb00d4", "input": "Problem: the smallest fraction , which each of 6 / 7 , 5 / 14 , 10 / 21 will divide exactly is : \nOptions: a ) 30 / 7 , b ) 30 / 98 , c ) 60 / 147 , d ) 50 / 294 , e ) 52 / 294", "output": [ "a" ] }, { "id": "task1420-1aae243a3b504c228d69cb3cdafaa3df", "input": "Problem: if a mixture is 5 ⁄ 9 alcohol by volume and 4 ⁄ 9 water by volume , what is the ratio of the volume of alcohol to the volume of water in this mixture ? \nOptions: a ) 1 / 4 , b ) 3 / 4 , c ) 5 / 4 , d ) 6 / 4 , e ) 7 / 4", "output": [ "c" ] }, { "id": "task1420-52b713b3ba864c3eb18464861cd98439", "input": "Problem: for any integer k greater than 1 , the symbol k * denotes the product of all integers between 1 and k , inclusive . if k * is a multiple of 1701 what is the least possible value of k ? \nOptions: a ) 8 , b ) 10 , c ) 12 , d ) 14 , e ) 16", "output": [ "c" ] }, { "id": "task1420-7c440f71d1ab4682ae359dc0b7f015dd", "input": "Problem: 24 * 22 = ? / 8 \nOptions: a ) 4224 , b ) 2224 , c ) 5374 , d ) 2434 , e ) 4254", "output": [ "a" ] }, { "id": "task1420-7a7025dc96234dada2137bf5477049fd", "input": "Problem: the sum of two numbers is 45 . the sum of their quotient and is reciprocal is 2.05 , the product of the numbers is ? \nOptions: a ) 300 , b ) 400 , c ) 500 , d ) 600 , e ) 700", "output": [ "c" ] }, { "id": "task1420-4049c038747543dfb24a014147d07e5f", "input": "Problem: the sum of three consecutive even numbers multiples of 3 is 72 . what is the largest number ? \nOptions: a ) 21 , b ) 24 , c ) 27 , d ) 36 , e ) none", "output": [ "c" ] }, { "id": "task1420-59b09e10fadc4844af395b5878cd078d", "input": "Problem: a number is doubled and 9 is added . if the resultant is trebled , it becomes 69 . what is that number ? \nOptions: a ) 3.5 , b ) 6 , c ) 8 , d ) 7 , e ) 4", "output": [ "d" ] }, { "id": "task1420-c32b05adfedb4244ab84143814e94e5c", "input": "Problem: there are , in a certain league , 14 teams , and each team face another team for a total of 5 times . how many games are played in the season ? \nOptions: a ) 455 , b ) 525 , c ) 1400 , d ) 180 , e ) 560", "output": [ "a" ] }, { "id": "task1420-15a0c30914684fa8a8d527e2405f249c", "input": "Problem: diana is painting statues . she has 7 / 8 of a gallon of paint remaining . each statue requires 1 / 16 gallon of paint . how many statues can she paint ? \nOptions: a ) 10 , b ) 20 , c ) 28 , d ) 14 , e ) 19", "output": [ "d" ] }, { "id": "task1420-328f3018f1934281a4a24f2418a142d2", "input": "Problem: if 4 / p = 8 & 6 / q = 18 then p - q = ? \nOptions: a ) 5 / 24 , b ) 6 / 24 , c ) 7 / 24 , d ) 1 / 6 , e ) 9 / 24", "output": [ "d" ] }, { "id": "task1420-821fd973d36849638f7d94bad9499335", "input": "Problem: if 80 percent of 600 is 50 percent of x , then x = ? \nOptions: a ) 960 , b ) 1000 , c ) 1020 , d ) 1080 , e ) 1075", "output": [ "a" ] }, { "id": "task1420-79ee5bd6f9324507ab6e0d12c938d353", "input": "Problem: the average weight of 20 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg . find the average weights of all the boys in the class . \nOptions: a ) 48.79286 , b ) 42.25 , c ) 50.87364 , d ) 51.25 , e ) 52.25474", "output": [ "a" ] }, { "id": "task1420-f793c5435d4f4132846001fb0183ab3c", "input": "Problem: the “ length of integer x ” refers to the number of prime factors , not necessarily distinct , that x has . ( if x = 60 , the length of x would be 4 because 60 = 2 × 2 × 3 × 5 . ) what is the greatest possible length of integer z if z < 1,000 ? \nOptions: a ) 13 , b ) 10 , c ) 9 , d ) 7 , e ) 6", "output": [ "c" ] }, { "id": "task1420-5ad7f36aa47a4b9c969239d2e083b951", "input": "Problem: a teacher grades students ’ tests by subtracting twice the number of incorrect responses from the number of correct responses . if student a answers each of the 100 questions on her test and receives a score of 64 , how many questions did student a answer correctly ? \nOptions: a ) 55 , b ) 60 , c ) 73 , d ) 82 , e ) 88", "output": [ "e" ] }, { "id": "task1420-e4103d58eb854fec9be2b9bb687ed099", "input": "Problem: what is the average ( arithmetic mean ) of all multiples of 10 from 10 to 600 inclusive ? \nOptions: a ) 190 , b ) 195 , c ) 305 , d ) 205 , e ) 210", "output": [ "c" ] }, { "id": "task1420-ce5034c38a2f4c72a1fdcb3cd083b588", "input": "Problem: there are 4 people of different heights standing in order of increasing height . the difference is 2 inches between the first person and the second person , and also between the second person and the third person . the difference between the third person and the fourth person is 6 inches and the average height is 78 . how tall is the fourth person ? \nOptions: a ) 82 , b ) 84 , c ) 86 , d ) 88 , e ) 90", "output": [ "b" ] }, { "id": "task1420-9e13433cf9934b6b939c9b8881dc5666", "input": "Problem: the population of a city increases @ 4 % p . a . there is an additional annual increase of 4 % of the population due to the influx of job seekers , find the % increase in population after 2 years ? \nOptions: a ) 14.64 % , b ) 15.64 % , c ) 16.64 % , d ) 17.64 % , e ) 18.64 %", "output": [ "c" ] }, { "id": "task1420-434aff3f83c04f5e9a8fe9578071a42a", "input": "Problem: on the number line , if x is halfway between - 4 and 4 , and if y is halfway between - 2 and 6 , what number is halfway between x and y ? \nOptions: a ) - 1 , b ) - 1 / 2 , c ) 0 , d ) 1 / 2 , e ) 1", "output": [ "e" ] }, { "id": "task1420-c2afbc79759c49cd85f5479bb009941c", "input": "Problem: a person travels from p to q a speed of 40 km / hr and returns by increasing his speed by 50 % . what is his average speed for both the trips ? \nOptions: a ) 27 , b ) 87 , c ) 48 , d ) 77 , e ) 51", "output": [ "c" ] }, { "id": "task1420-588ed8bbaa2c42d2a001da36becc2ae1", "input": "Problem: the ratio of the ages of mini and minakshi is 4 : 3 . the sum of their ages is 21 years . the ratio of their ages after 8 years will be \nOptions: a ) 2 : 3 , b ) 20 : 17 , c ) 5 : 4 , d ) 3 : 5 , e ) 6 : 11", "output": [ "b" ] }, { "id": "task1420-f6962e9899c04f4db97ab7c70ca793af", "input": "Problem: a man engaged a servant on the condition that he would pay him rs . 710 and a uniform after a year service . he served only for 8 months and got rs . 460 and a uniform . find the price of the uniform ? \nOptions: a ) rs . 40 , b ) rs . 30 , c ) rs . 25 , d ) rs . 20 , e ) rs . 45", "output": [ "a" ] }, { "id": "task1420-7b78bad37f9f4a279cb23d57806d3bd2", "input": "Problem: a person saved $ 10 in buying an item on sale . if he spent $ 200 for the item , approximately how much percent he saved in the transaction ? \nOptions: a ) 8 % , b ) 10 % , c ) 2 % , d ) 5 % , e ) 6 %", "output": [ "d" ] }, { "id": "task1420-de802c9051044339b7be67a2b14c77df", "input": "Problem: a man performs 3 / 5 of the total journey by rail , 17 / 20 by bus and the remaining 6.5 km on foot . his total journey is \nOptions: a ) 65 km , b ) 100 km , c ) 120 km , d ) 130 km , e ) 140 km", "output": [ "d" ] }, { "id": "task1420-5eddb80547694118ac99b66e0c6768e4", "input": "Problem: on a partly cloudy day , derek decides to walk back from work . when it is sunny , he walks at a speed of s miles / hr ( s is an integer ) and when it gets cloudy , he increases his speed to ( s + 1 ) miles / hr . if his average speed for the entire distance is 2.8 miles / hr , what fraction e of the total distance did he cover while the sun was shining on him ? \nOptions: a ) 1 / 4 , b ) 4 / 5 , c ) 1 / 5 , d ) 1 / 6 , e ) 1 / 7", "output": [ "e" ] }, { "id": "task1420-a952297ec33a4d40a3a5848ff50bd747", "input": "Problem: rahul played weel in this season . his current batting averagge is 46 . if he score 78 runs in today match . his batting average will become 54 . how many matches had he played in this season . \nOptions: a ) 8 , b ) 10 , c ) 3 , d ) 6 , e ) 5", "output": [ "c" ] }, { "id": "task1420-38623532ac7d4cdcb6bf9fffd8dfa0cc", "input": "Problem: anne bought doughnuts for a class breakfast party . she bought 12 chocolate doughnuts , 12 coconut doughnuts , and 10 jam - filled doughnuts . how many doughnuts did anne buy in all ? \nOptions: a ) 25 , b ) 34 , c ) 39 , d ) 21 , e ) 11", "output": [ "b" ] }, { "id": "task1420-4e8db3dfe0c747269bc67ed3ff713dba", "input": "Problem: of all the homes on gotham street , 1 / 3 are termite - ridden , and 7 / 10 of these are collapsing . what fraction of the homes are termite - ridden , but not collapsing ? \nOptions: a ) 1 / 4 , b ) 1 / 6 , c ) 1 / 8 , d ) 1 / 9 , e ) 1 / 10", "output": [ "e" ] }, { "id": "task1420-f5f107d9e03e4717ad44b02e9a21d1e4", "input": "Problem: if 9 ! / 3 ^ x is an integer , what is the greatest possible value of x ? \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "b" ] }, { "id": "task1420-f787893627474929afe1322b3b7ff711", "input": "Problem: a special municipal payroll tax charges not tax on a payroll less than $ 300,000 and only 1 % on a company ’ s payroll above $ 300,000 . if belfried industries paid $ 200 in this special municipal payroll tax , then they must have had a payroll of ? \nOptions: a ) $ 180,000 , b ) $ 202,000 , c ) $ 230,000 , d ) $ 400,000 , e ) $ 2 , 200,000", "output": [ "c" ] }, { "id": "task1420-aa91d8cd62f24df8b4511dc377f7cec1", "input": "Problem: what is the largest 4 digit number exactly divisible by 88 ? \nOptions: a ) 9999 , b ) 9944 , c ) 9988 , d ) 9900 , e ) 9991", "output": [ "b" ] }, { "id": "task1420-b103bff2ff7347a882819be38db75941", "input": "Problem: a high school has 360 students 1 / 2 attend the arithmetic club , 5 / 8 attend the biology club and 3 / 4 attend the chemistry club . 3 / 8 attend all 3 clubs . if every student attends at least one club how many students attend exactly 2 clubs . \nOptions: a ) 45 , b ) 40 , c ) 35 , d ) 50 , e ) 55", "output": [ "a" ] }, { "id": "task1420-7405c53ee13f4d12bf41b550c802dbac", "input": "Problem: how many three - digit numbers that do not contain the digits 2 or 5 are there ? \nOptions: a ) 488 , b ) 996 , c ) 228 , d ) 456 , e ) 1986", "output": [ "b" ] }, { "id": "task1420-a1686e63436e4b04925a32790714a474", "input": "Problem: two trains of equal are running on parallel lines in the same direction at 48 km / hr and 36 km / hr . the faster train passes the slower train in 36 sec . the length of each train is ? \nOptions: a ) 60 m , b ) 72 m , c ) 80 m , d ) 82 m , e ) 84 m", "output": [ "a" ] }, { "id": "task1420-3d1f36345f7d4cf7a5b6b7cf1053624b", "input": "Problem: in a 300 member association consisting of men and women , exactly 80 % of men and exactly 15 % women are homeowners . what is the least number of members who are homeowners ? \nOptions: a ) 46 , b ) 47 , c ) 48 , d ) 49 , e ) 50", "output": [ "a" ] }, { "id": "task1420-3add2fcaef914a5082c341f79997d5db", "input": "Problem: the total marks obtained by a student in mathematics and physics is 32 and his score in chemistry is 20 marks more than that in physics . find the average marks scored in mathamatics and chemistry together . \nOptions: a ) 40 , b ) 26 , c ) 27 , d ) 28 , e ) 22", "output": [ "b" ] }, { "id": "task1420-c19fa19955f94548ab3fc38a1a8afb51", "input": "Problem: the average of first five multiples of 7 is : \nOptions: a ) 9 , b ) 16 , c ) 15 , d ) 8 , e ) 21", "output": [ "e" ] }, { "id": "task1420-0b4037e8472f462c8d830751bdef4981", "input": "Problem: what is the greatest integer m for which the number 30 ! / 10 ^ m is an integer ? \nOptions: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11", "output": [ "a" ] }, { "id": "task1420-6bf685b900e04b83a9d8d8eaba0dbe26", "input": "Problem: if 7 boys meet at a reunion and each boy shakes hands exactly once with each of the others , then what is the total number of handshakes \nOptions: a ) 21 , b ) 42 , c ) 43 , d ) 44 , e ) 45", "output": [ "a" ] }, { "id": "task1420-4c495ce819114aab8ed14a9865c5ece2", "input": "Problem: if the range w of the 6 numbers 4 , 314 , 710 and x is 12 , what is the difference between the greatest possible value of x and least possible value of x ? \nOptions: a ) 0 , b ) 2 , c ) 12 , d ) 13 , e ) 15", "output": [ "d" ] }, { "id": "task1420-d7fee58907624a71845d77f06b9969bf", "input": "Problem: how many paying stones , each measuring 2 1 / 2 m * 2 m are required to pave a rectangular court yard 30 m long and 16 1 / 2 m board ? \nOptions: a ) 90 , b ) 99 , c ) 97 , d ) 95 , e ) 65", "output": [ "b" ] }, { "id": "task1420-69910315276e4db6a42eb4b108e385d3", "input": "Problem: a cricketer whose bowling average is 12.4 runs per wicket takes 5 wickets for 26 runs and there by decreases his average by 0.4 . the number age of the family now is ? \nOptions: a ) 17 , b ) 98 , c ) 88 , d ) 85 , e ) 83", "output": [ "d" ] }, { "id": "task1420-d1391eab35594b6abe8de8de1d83eb35", "input": "Problem: a gambler bought $ 3,000 worth of chips at a casino in denominations of $ 30 and $ 100 . that evening , the gambler lost 16 chips , and then cashed in the remainder . if the number of $ 30 chips lost was 2 more or 2 less than the number of $ 100 chips lost , what is the largest amount of money that the gambler could have received back ? \nOptions: a ) $ 2,040 , b ) $ 2,120 , c ) $ 1,960 , d ) $ 1,920 , e ) $ 2,030", "output": [ "e" ] }, { "id": "task1420-562ca685b288414485eb423df450772a", "input": "Problem: if the price of sugar rises from rs . 10 per kg to rs . 11 per kg , a person , to have no increase in the expenditure on sugar , will have to reduce his consumption of sugar by \nOptions: a ) 9 % , b ) 20 % , c ) 25 % , d ) 30 % , e ) none", "output": [ "a" ] }, { "id": "task1420-b0af264a070347af8926fdb7b8be946f", "input": "Problem: a certain sum of money is divided among a , b and c so that for each rs . a has , b has 65 paisa and c 40 paisa . if c ' s share is rs . 56 , find the sum of money ? \nOptions: a ) 288 , b ) 287 , c ) 72 , d ) 205 , e ) 267", "output": [ "b" ] }, { "id": "task1420-d359d759e69e44129e12e19d90a53e77", "input": "Problem: in a class of 30 students in an examination in maths 3 students scored 95 marks each , 3 get zero each and the average of the rest was 45 . what is the average of the whole class ? \nOptions: a ) a ) 47 , b ) b ) 45.6 , c ) c ) 44 , d ) d ) 48.5 , e ) e ) 49", "output": [ "d" ] }, { "id": "task1420-17471375d35b4603a8e1ef2222b9446e", "input": "Problem: revenues were recorded for store a and store b over a period of 3 months . in the first month , store a ' s revenues were $ 12000 higher than store b ' s revenues . in the second month , store a ' s revenues were $ 8000 higher than store b ' s revenues . if store a ' s average ( arithmetic mean ) monthly revenue for the 3 months was $ 2000 greater than store b ' s average monthly revenue , then store b ' s revenue in the third month was how much greater than store a ' s revenue ? \nOptions: a ) $ 14,000 , b ) $ 15,000 , c ) $ 42,000 , d ) $ 46,000 , e ) $ 50,000", "output": [ "a" ] }, { "id": "task1420-7aab65c587974394aeb0774c1fa686f9", "input": "Problem: at 6 ' o clock clock ticks 6 times . the time between first and last ticks was 30 sec . how much time it takes at 8 ' o clock . \nOptions: a ) 54 sec , b ) 48 sec , c ) 42 sec , d ) 70 sec , e ) 60 sec", "output": [ "c" ] }, { "id": "task1420-2327f54a662140ec8a2053fb34ac14e0", "input": "Problem: the sum of the squares of three numbers is 125 , while the sum of their products taken two at a time is 50 . their sum is : \nOptions: a ) 15 , b ) 30 , c ) 40 , d ) 50 , e ) none of these", "output": [ "a" ] }, { "id": "task1420-ee994d0187f644b1a38fd7af77bfd3a0", "input": "Problem: there are 6 people in the elevator . their average weight is 170 lbs . another person enters the elevator , and increases the average weight to 151 lbs . what is the weight of the 7 th person . \nOptions: a ) 37 , b ) 168 , c ) 189 , d ) 190 , e ) 200", "output": [ "a" ] }, { "id": "task1420-8de09c2437854ee69eace59cf6864424", "input": "Problem: linda spent 5 / 6 of her savings on furniture and the rest on a tv . if the tv cost her $ 500 , what were her original savings ? \nOptions: a ) $ 9000 , b ) $ 3000 , c ) $ 6000 , d ) $ 7000 , e ) $ 8000", "output": [ "b" ] }, { "id": "task1420-35740df4a95c41348278008a709e9298", "input": "Problem: if 2 ^ x + 2 ^ y = 10 ^ 0 + 90 ^ 0 , where x and y are non negative integers , what is the greatest possible value of | x â € “ y | ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4", "output": [ "a" ] }, { "id": "task1420-c405c0e4965b4e0cb2fe720b4f1d56c0", "input": "Problem: on dividing a number by 357 , we get 42 as remainder . on dividing the same number by 17 , what will be the remainder ? \nOptions: a ) 4 , b ) 5 , c ) 8 , d ) 7 , e ) 2", "output": [ "c" ] }, { "id": "task1420-4e80084c61ba47e499ac0b8face6a404", "input": "Problem: what is the smallest number which when diminished by 18 , is divisible 8 , 14 , 26 and 28 ? \nOptions: a ) 746 , b ) 750 , c ) 789 , d ) 678 , e ) 897", "output": [ "a" ] }, { "id": "task1420-ecba0d27cdc243259ec133adbb902894", "input": "Problem: 23 , 29 , 31 , 37 , 41 , 43 , 47 , 53 , ( . . . ) \nOptions: a ) 53 , b ) 47 , c ) 48 , d ) 59 , e ) 45", "output": [ "d" ] }, { "id": "task1420-c7d15d358d4d4a3b8409e25e994c4920", "input": "Problem: at a certain paint store forest green is made by mixing 4 parts blue paint with 3 parts yellow paint . verdant green is made by mixing 4 parts yellow paint with 3 parts blue paint . how many liters of yellow paint must be added to 42 liters of forest green to change it to verdant green ? \nOptions: a ) 14 , b ) 12 , c ) 15 , d ) 11 , e ) 10", "output": [ "a" ] }, { "id": "task1420-ea2f505943464d50a229fd15e50a45bc", "input": "Problem: a city with a population of 218,000 is to be divided into 10 voting districts , and no district is to have a population that is more than 10 percent greater than the population of any other district . what is the minimum possible population that the least populated district could have ? \nOptions: a ) 19,920 , b ) 19,940 , c ) 19,960 , d ) 19,980 , e ) 20,000", "output": [ "e" ] }, { "id": "task1420-799e33552eff4e4885b8f6b2000d1e30", "input": "Problem: 150 ml of 30 % sulphuric acid was added to approximate 400 ml of 12 % sulphuric acid solution . find the approximate concentration w of the acid in the mixture ? \nOptions: a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 4 , d ) 1 / 6 , e ) 1 / 5", "output": [ "d" ] }, { "id": "task1420-49e2562e426b428b83c748b4e837e3a1", "input": "Problem: if a and b are integers and ( a * b ) ^ 5 = 144 y , y could be : \nOptions: a ) 40 , b ) 48 , c ) 56 , d ) 62 , e ) 54", "output": [ "e" ] }, { "id": "task1420-6d052a16c886402ea2b64a8e2e3c04d0", "input": "Problem: how many integers between 100 and 160 , inclusive , can not be evenly divided by 3 nor 5 ? \nOptions: a ) 32 , b ) 27 , c ) 25 , d ) 35 , e ) 29", "output": [ "a" ] }, { "id": "task1420-af9766a969ba4d12bc595a6bc3fcd1d9", "input": "Problem: the average weight of a class of 20 boys was calculated to be 58.4 kgs and it was later found that one weight was misread as 56 kg instead of 65 kg . what is the correct weight ? \nOptions: a ) 67.4 kg , b ) 57.75 kg , c ) 58.85 kg , d ) 49.4 kg , e ) none of these", "output": [ "c" ] }, { "id": "task1420-b70d549de85e4e7cb80065d2c4ec5c17", "input": "Problem: a number is doubled and 9 is added . if resultant is trebled , it becomes 51 . what is that number \nOptions: a ) 4 , b ) 10 , c ) 12 , d ) 14 , e ) 15", "output": [ "a" ] }, { "id": "task1420-56f519a3a3de420a8524e82dbbe1f743", "input": "Problem: 7 , 26 , 63 , 124 , ( . . . . ) \nOptions: a ) 342 , b ) 125 , c ) 289 , d ) 564 , e ) 36", "output": [ "a" ] }, { "id": "task1420-46746be2b9da47d3b030bdefe18498fc", "input": "Problem: a batsman had a certain average of runs for 16 innings . in the 17 th innings , he made a score of 87 runs thereby increasing his average by 3 . what is his average after 17 innings ? \nOptions: a ) 39 , b ) 88 , c ) 266 , d ) 278 , e ) 221", "output": [ "a" ] }, { "id": "task1420-a5a664a154d84d51b416f272846830fd", "input": "Problem: if 5 < x < 12 and y = x + 3 , what is the greatest possible integer value of x + y ? \nOptions: a ) 23 , b ) 24 , c ) 25 , d ) 26 , e ) 27", "output": [ "d" ] }, { "id": "task1420-1d6b2deb370540edb99ee6828168fa35", "input": "Problem: there are two numbers . if 50 % of the first number is added to the second number , then the second number increases to its 5 - fourth . find the ratio of the first number to the second number ? \nOptions: a ) a ) 1 / 2 , b ) b ) 5 / 8 , c ) c ) 6 , d ) d ) 6 / 7 , e ) e ) 7", "output": [ "a" ] }, { "id": "task1420-33705f347276412c9b784cb04441eb0a", "input": "Problem: the difference between a number and its 3 - fourth is 100 . what is 25 % of that number ? \nOptions: a ) 120 , b ) 100 , c ) 125 , d ) 150 , e ) none of these", "output": [ "b" ] }, { "id": "task1420-f7d4edd0fd074d0aa11006953e798932", "input": "Problem: calculate 469160 x 9999 = ? \nOptions: a ) 4691130840 , b ) 4686970743 , c ) 4691100843 , d ) 4586870843 , e ) none", "output": [ "a" ] }, { "id": "task1420-2491a83df9d246d8aa688205773817bd", "input": "Problem: how many different values of positive integer x , for which | x + 6 | < x , are there ? \nOptions: a ) 0 , b ) 2 , c ) 3 , d ) 8 , e ) 16", "output": [ "d" ] }, { "id": "task1420-fbb7529fbb3f460ca2b46f3ae4282f55", "input": "Problem: ( ( - 1.9 ) ( 0.6 ) – ( 2.6 ) ( 1.2 ) ) / 8.0 = ? \nOptions: a ) - 0.53 , b ) 1.0 , c ) 1.07 , d ) 1.71 , e ) 2.71", "output": [ "a" ] }, { "id": "task1420-a0cc6179abf1459dbd4061b05e3711a0", "input": "Problem: what is the remainder when 43 ^ 88 is divided by 5 ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4", "output": [ "b" ] }, { "id": "task1420-d815eb9957e54f0d88cb2db6289816e9", "input": "Problem: on a certain island , 5 % of the 10000 inhabitants are one - legged and half of the others go barefooted . what is the least number of shoes needed in the island ? \nOptions: a ) 10200 , b ) 10000 , c ) 9500 , d ) 9000 , e ) none", "output": [ "b" ] }, { "id": "task1420-13b01dea30fc4bf882e69ae753de1261", "input": "Problem: what is the value of n if the sum of the consecutive odd intergers w from 1 to n equals 169 ? \nOptions: a ) 47 , b ) 25 , c ) 37 , d ) 33 , e ) 29", "output": [ "b" ] }, { "id": "task1420-cc2543f6c1d14d5ca15a3a54afb631bb", "input": "Problem: what is the remainder when 7 ^ 498 is divided by 5 ? \nOptions: a ) 4 , b ) 3 , c ) 2 , d ) 1 , e ) 0", "output": [ "a" ] }, { "id": "task1420-f4ccfabbc9234a5f9992b946dc4c0b55", "input": "Problem: if the sum of the first n positive integers is s , what is the sum of the first n positive integers divisible by 3 , in terms of s ? \nOptions: a ) s / 2 , b ) s , c ) 2 s , d ) 3 s , e ) 4 s", "output": [ "d" ] }, { "id": "task1420-72e49c55880a4d50beede5a7a2c36d08", "input": "Problem: the sum of two numbers is 72 , and one of them is 12 more than the other . what are the two numbers ? \nOptions: a ) 36 - 48 , b ) 50 - 34 , c ) 60 - 24 , d ) 30 - 42 , e ) 21 - 63", "output": [ "d" ] }, { "id": "task1420-c66d2463f09348668927a2ca1f072d1e", "input": "Problem: the average of first 10 natural numbers is ? \nOptions: a ) 5.6 , b ) 5.5 , c ) 5.1 , d ) 5.8 , e ) 5.2", "output": [ "b" ] }, { "id": "task1420-189cc334801b47d09960fde46a1dc487", "input": "Problem: 34 : 43 : : 25 : ? \nOptions: a ) 49 , b ) 52 , c ) 36 , d ) 64 , e ) 56", "output": [ "b" ] }, { "id": "task1420-87d5da24366a426bb770748c5d5a9880", "input": "Problem: if x / y = 7 / 3 , then ( x + y ) / ( x - y ) = ? \nOptions: a ) 5 , b ) 5 / 2 , c ) - 1 / 6 , d ) - 1 / 5 , e ) - 5", "output": [ "b" ] }, { "id": "task1420-0d07d5dea8764ef2917dc881a647c70b", "input": "Problem: the sum of the non - prime numbers between 50 and 60 , non - inclusive , is \nOptions: a ) 263 , b ) 293 , c ) 323 , d ) 353 , e ) 383", "output": [ "e" ] }, { "id": "task1420-8afbaee0465f447d814ad958b271c8a0", "input": "Problem: of the 17,210 employees of the anvil factory , 2 / 7 are journeymen . if half of the journeymen were laid off , what percentage of the total remaining employees would be journeymen ? \nOptions: a ) 14.3 % , b ) 16.67 % , c ) 33 % , d ) 28.6 % , e ) 49.67 %", "output": [ "d" ] }, { "id": "task1420-1b440712182b4df19ff45884c895d3f0", "input": "Problem: if n = 8 ^ 8 – 7 , what is the units digit of n ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 7 , e ) 4", "output": [ "d" ] }, { "id": "task1420-935fe19cbbd64d688ade199311077c6a", "input": "Problem: there are 200 female managers in a certain company . find the total number r of female employees in the company , if 2 / 5 of all the employees are managers and 2 / 5 of all male employees are managers . \nOptions: a ) r = 300 , b ) r = 400 , c ) r = 500 , d ) 600 , e ) none of these", "output": [ "c" ] }, { "id": "task1420-aeba805cf937498cba7d4cba88562e30", "input": "Problem: in one year , the population , of a village increased by 30 % and in the next year , it decreased by 30 % . if at the end of 2 nd year , the population was 13650 , what was it in the beginning ? \nOptions: a ) 7787 , b ) 8000 , c ) 15000 , d ) 1277 , e ) 2081", "output": [ "c" ] }, { "id": "task1420-ebe3aa6436804cd79f7e38730b9609f3", "input": "Problem: on rainy mornings , mo drinks exactly n cups of hot chocolate ( assume that n is an integer ) . on mornings that are not rainy , mo drinks exactly 4 cups of tea . last week mo drank a total of 26 cups of tea and hot chocolate together . if during that week mo drank 14 more tea cups than hot chocolate cups , then how many rainy days were there last week ? \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6", "output": [ "a" ] }, { "id": "task1420-be5d77d7f5b4458286bd1777d9f88eba", "input": "Problem: what is the sum of the greatest common factor and the lowest common multiple of 16 and 72 ? \nOptions: a ) 142 , b ) 152 , c ) 124 , d ) 160 , e ) 184", "output": [ "b" ] }, { "id": "task1420-9a06f0218f0b43c9a4f0df50dc052cc2", "input": "Problem: what is the smallest positive integer k such that the product of 720 x k is a perfect square ? \nOptions: a ) 5 , b ) 9 , c ) 15 , d ) 25 , e ) 63", "output": [ "a" ] }, { "id": "task1420-fe8bccd9ee7a41d98aa4f579f29d1452", "input": "Problem: john want to buy a $ 100 trouser at the store , but he think it ’ s too expensive . finally , it goes on sale for $ 10 . what is the percent decrease ? \nOptions: a ) 90 % , b ) 30 % , c ) 40 % , d ) 70 % , e ) 80 %", "output": [ "a" ] }, { "id": "task1420-9b3dff399f9447bbb0f0de943350a36d", "input": "Problem: 20 liters of a mixture is created by mixing liquid p and liquid q in the ratio 3 : 2 . how many liters of liquid q must be added to make the ratio 4 : 3 ? \nOptions: a ) 1 , b ) 3 , c ) 5 , d ) 7 , e ) 9", "output": [ "a" ] }, { "id": "task1420-9813feee462e4cb3a9b1bba585e3f2f9", "input": "Problem: what is the tens digit of 36 ^ 30 ? \nOptions: a ) 1 , b ) 7 , c ) 5 , d ) 3 , e ) 9", "output": [ "b" ] }, { "id": "task1420-72e6b03e00f44bb295679b0ac30d8217", "input": "Problem: there are 76 persons . 54 can read hindu , 43 can read times , 37 can read deccan and 15 can read all . if 24 can read hindu and deccan and 27 can read deccan and times then what is the number of persons who read only times and hindu . \nOptions: a ) 21 , b ) 22 , c ) 23 , d ) 24 , e ) 25", "output": [ "b" ] }, { "id": "task1420-479e721e24884fecbba3243d4f952e1e", "input": "Problem: n and m are each 3 - digit integers . each of the numbers 2 , 34 , 6 , 7 , and 8 is a digit of either n or m . what is the smallest possible positive difference between n and m ? \nOptions: a ) 39 , b ) 49 , c ) 58 , d ) 113 , e ) 131", "output": [ "a" ] }, { "id": "task1420-c121108149174836a0fa33f95d9ea896", "input": "Problem: how many e ways can jason sit with his 5 friends in a row of 6 seats with an aisle on either side of the row , if jason insists on sitting next to one of the aisles ? \nOptions: a ) 120 , b ) 240 , c ) 360 , d ) 540 , e ) 720", "output": [ "b" ] }, { "id": "task1420-6e3c9c4b69144ec98dedeb10799db07f", "input": "Problem: a man is 22 years older than his son . in three years , his age will be thrice the age of his son . the present age of this son is \nOptions: a ) 8 years , b ) 2 years , c ) 7 years , d ) 8 years , e ) 5 years", "output": [ "d" ] }, { "id": "task1420-5e6bc0d9f45545f7905e87f9d7e83a30", "input": "Problem: when a number is divided by 6 & then multiply by 12 the answer is 8 what is the no . ? \nOptions: a ) 4.5 , b ) 5 , c ) 5.5 , d ) 5.8 , e ) 4", "output": [ "e" ] }, { "id": "task1420-68197a7c4b554abd926fcad54ba27c9d", "input": "Problem: the closest approximation of w ( 69.28 × 0.004 ) / 0.03 is \nOptions: a ) 0.092 , b ) 0.92 , c ) 9.2 , d ) 92 , e ) 920", "output": [ "c" ] }, { "id": "task1420-c9bf1cb11be84aaf99a0bfcbfee020e9", "input": "Problem: if 9 gallons of gasoline are added to a tank that is already filled to 3 / 4 of its capacity , the tank is then filled to 9 / 10 of its capacity . how many gallons does the tank hold ? \nOptions: a ) 20 , b ) 24 , c ) 36 , d ) 40 , e ) 54", "output": [ "e" ] }, { "id": "task1420-27d0c0631fc04bf68f28ace3455e7dc0", "input": "Problem: what is the value of 8 1 / 3 % of 600 + 37 ½ of 400 \nOptions: a ) 100 , b ) 300 , c ) 150 , d ) 200 , e ) 250", "output": [ "d" ] }, { "id": "task1420-1ffdce30e5ff44a6aab16f849b7cb9b2", "input": "Problem: working simultaneously and independently at an identical constant rate , 5 machines of a certain type can produce a total of x units of product p in 4 days . how many of these machines , working simultaneously and independently at this constant rate , can produce a total of 2 x units of product p in 2 days ? \nOptions: a ) 11 , b ) 13 , c ) 15 , d ) 18 , e ) 20", "output": [ "e" ] }, { "id": "task1420-4733820dbaa44d2eb20a06b7caa44d9c", "input": "Problem: if 4 ( p ' s capital ) = 6 ( q ' s capital ) = 10 ( r ' s capital ) , then out of the total profit of rs 3410 , r will receive \nOptions: a ) 660 , b ) 700 , c ) 800 , d ) 900 , e ) none of these", "output": [ "a" ] }, { "id": "task1420-bb44d41454a94b07844ad74fc9e668d1", "input": "Problem: lagaan is levied on the 60 percent of the cultivated land . the revenue department collected total rs . 3 , 84,000 through the lagaan from the village of mutter . mutter , a very rich farmer , paid only rs . 480 as lagaan . the percentage of total land of mutter over the total taxable land of the village is : \nOptions: a ) 0.20833 , b ) 0.14544 , c ) 0.25632 , d ) 0.35466 , e ) 0.63435", "output": [ "a" ] }, { "id": "task1420-9418de913e314cfbb28f06b0db7b9df3", "input": "Problem: a man whose bowling average is 22.2 , takes 4 wickets for 36 runs and thereby decreases his average by 1.2 . the number of wickets , taken by him before his last match is : \nOptions: a ) 14 , b ) 22 , c ) 38 , d ) 40 , e ) 50", "output": [ "d" ] }, { "id": "task1420-3cb0a202554e43ff9358c5edc610dfac", "input": "Problem: the batting average of a particular batsman is 60 runs in 46 innings . if the difference in his highest and lowest score is 180 runs and his average excluding these two innings is 58 runs , find his highest score . \nOptions: a ) 179 , b ) 194 , c ) 269 , d ) 177 , e ) 191", "output": [ "b" ] }, { "id": "task1420-2c0714bdf47d46ada87c4de117eab059", "input": "Problem: o ( x ) represents the least odd integer greater than x , whereas o ( x ) represents the greatest odd integer less than x . likewise , e ( x ) represents the least even integer greater than x , whereas e ( x ) represents the greatest even integer less than x . according to these definitions , the value of o ( 3.2 ) + e ( – 1.7 ) + o ( – 3.3 ) + e ( 4.7 ) is : \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "b" ] }, { "id": "task1420-8a860033426f41e9b4ba2d19e116957b", "input": "Problem: on dividing 52 by a number , the quotient is 16 and the remainder is 4 . find the divisor ? \nOptions: a ) 1 , b ) 3 , c ) 5 , d ) 7 , e ) 9", "output": [ "b" ] }, { "id": "task1420-4786cb4d2a3c4ed9b117a1555bca7413", "input": "Problem: a gardener wants to plant trees in his garden in such a way that the number of trees in each row should be the same . if there are 6 rows or 4 rows or 8 rows , then no tree will be left . find the least number of trees required \nOptions: a ) 24 , b ) 60 , c ) 28 , d ) 76 , e ) 21", "output": [ "a" ] }, { "id": "task1420-4ff4e314435946ada4081fe090ec4384", "input": "Problem: ( 23341379 × 72 ) = ? \nOptions: a ) 1223441288 , b ) 2142579288 , c ) 2142339288 , d ) 2142339277 , e ) 1680579288", "output": [ "e" ] }, { "id": "task1420-1a5101ca776c417c91898fab583b4dac", "input": "Problem: find the area between two concentric circles defined by x 2 + y 2 - 2 x + 4 y + 1 = 0 x 2 + y 2 - 2 x + 4 y - 11 = 0 \nOptions: a ) 11 pi , b ) 12 pi , c ) 13 pi , d ) 14 pi , e ) 15 pi", "output": [ "b" ] }, { "id": "task1420-93f47c4ae194440ba895cdab2ba3e135", "input": "Problem: the number of singles that a baseball player hit increased 18 percent from her first season to her second season , and the number of doubles that she hit in the same time period decreased by 6 percent . if the total number of singles and doubles that she hit increased 3 percent from her first season to her second season , what is the ratio of the number of singles she hit in her first season to the number of doubles she hit in her first season ? \nOptions: a ) 1 : 3 , b ) 4 : 5 , c ) 1 : 5 , d ) 2 : 5 , e ) 3 : 5", "output": [ "e" ] }, { "id": "task1420-a30179eb372f4f628d98e693af27da0c", "input": "Problem: in a certain supermarket , a triangular display of cans is arranged in 9 rows , numbered 1 through 9 from top to bottom . each successively numbered row contains 3 more cans than the row immediately above it . if there are fewer than 120 cans in the entire display , how many cans are in the seventh row ? \nOptions: a ) 13 , b ) 15 , c ) 17 , d ) 19 , e ) 21", "output": [ "d" ] }, { "id": "task1420-e7fd3138e41541a6be3dd4fca94bb67a", "input": "Problem: set j consists of 18 consecutive even numbers . if the smallest term in the set is - 22 , what is the range of the positive integers in set j ? \nOptions: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 10", "output": [ "e" ] }, { "id": "task1420-59b749f7e9b542aaa795ab7bf08be681", "input": "Problem: if x is to be chosen at random from the integers between 1 to 7 , inclusive , and y is to be chosen at random from the integers between 8 and 12 , inclusive , what is the probability that x + y will be even ? \nOptions: a ) 2 / 5 , b ) 3 / 7 , c ) 5 / 7 , d ) 17 / 35 , e ) 24 / 35", "output": [ "d" ] }, { "id": "task1420-a13940e4aa2c491bb224d668308d9794", "input": "Problem: what is the smallest integer z for which 27 ^ z > 3 ^ 24 ? \nOptions: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 12", "output": [ "c" ] }, { "id": "task1420-e2aaaf3664594b7f8dc34a9e1776f647", "input": "Problem: a ferry can transport 100 tons of vehicles . automobiles range in weight from 1,600 to 3,000 pounds . what is the greatest number of automobiles that can be loaded onto the ferry ? \nOptions: a ) 110 , b ) 128 , c ) 115 , d ) 130 , e ) 120", "output": [ "e" ] }, { "id": "task1420-12f920b971a246d3896d9d5cf8166f9f", "input": "Problem: 4 , 25,49 , \nOptions: a ) 149 , b ) 169 , c ) 189 , d ) 209 , e ) 121", "output": [ "e" ] }, { "id": "task1420-d6f90a736729484bb0bd44cd2ee0b3f6", "input": "Problem: if the price of petrol increases by 30 , by how much must a user cut down his consumption so that his expenditure on petrol remains constant ? \nOptions: a ) 25 % , b ) 23 % , c ) 16.67 % , d ) 33.33 % , e ) none of these", "output": [ "b" ] }, { "id": "task1420-d7e5954a06dd4ccfbb4de43a6a6fc32c", "input": "Problem: at a monthly meeting , 3 / 5 of the attendees were males and 7 / 8 of the male attendees arrived on time . if 4 / 5 of the female attendees arrived on time , what fraction of the attendees at the monthly meeting did not arrive on time ? \nOptions: a ) 47 / 200 , b ) 31 / 200 , c ) 17 / 100 , d ) 11 / 100 , e ) 7 / 50", "output": [ "b" ] }, { "id": "task1420-b166cef34e724a8d802d09a8ada8563e", "input": "Problem: 8 / 4 / 2 = ? \nOptions: a ) 0 , b ) 2 , c ) 5 , d ) 4 , e ) 1", "output": [ "e" ] }, { "id": "task1420-40a3036a2ba14f32ab2fd79d90923b0a", "input": "Problem: a baker makes chocolate cookies and peanut cookies . his recipes allow him to make chocolate cookie in batches of 7 and peanut cookies in batches of 6 . if he makes exactly 96 cookies , what is the minimum number of chocolate chip cookies he makes ? \nOptions: a ) 7 , b ) 14 , c ) 21 , d ) 28 , e ) 42", "output": [ "e" ] }, { "id": "task1420-ef51b67d978a41c59065786d2c9c36c5", "input": "Problem: if 12 ! / 3 ^ x is an integer , what is the greatest possible value of x ? \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "c" ] }, { "id": "task1420-9d867431c6f946deb1364c2ee0d45b47", "input": "Problem: a mathematics teacher tabulated the marks secured by 35 students of 8 th class . the average of their marks was 72 . if the marks secured by reema was written as 36 instead of 86 then find the correct average marks up to two decimal places . \nOptions: a ) 73.41 , b ) 74.31 , c ) 72.43 , d ) 73.43 , e ) can not be determined", "output": [ "d" ] }, { "id": "task1420-aaeb1e04897143b6ac92a05e4971b9b2", "input": "Problem: in the coordinate plane a slope of the line k is 3 / 2 times the x - intercept of the line k . what is the y - intercept of the line k ? \nOptions: a ) - 4 , b ) 4 , c ) - 1 / 4 , d ) 1 / 4 , e ) 2 / 3", "output": [ "e" ] }, { "id": "task1420-b745e211c8414ab9a2e28b7f2d1f896f", "input": "Problem: a meal cost $ 35.50 and there was no tax . if the tip was more than 10 pc but less than 15 pc of the price , then the total amount paid should be : \nOptions: a ) 40 - 42 , b ) 39 - 41 , c ) 38 - 40 , d ) 37 - 39 , e ) 36 - 37", "output": [ "b" ] }, { "id": "task1420-7b45f84d75c44a9582cb2c1b1aa701ff", "input": "Problem: if @ is a binary operation defined as the difference between an integer n and the product of n and 5 , then what is the largest positive integer n such that the outcome of the binary operation of n is less than 21 ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "e" ] }, { "id": "task1420-0e2a051592a54cdf8b0a305b1432cff6", "input": "Problem: when x is even , [ x ] = x / 2 + 1 , when x is odd [ x ] = 2 x + 1 then [ 7 ] * [ 8 ] = ? \nOptions: a ) [ 22 ] , b ) [ 44 ] , c ) [ 75 ] , d ) [ 88 ] , e ) [ 90 ]", "output": [ "c" ] }, { "id": "task1420-7ffc244161374e998828318ddd4a1d76", "input": "Problem: a man â € ™ s current age is ( 2 / 5 ) of the age of his father . after 14 years , he will be ( 1 / 2 ) of the age of his father . what is the age of father at now ? \nOptions: a ) 40 , b ) 45 , c ) 38 , d ) 50 , e ) 70", "output": [ "e" ] }, { "id": "task1420-259cf505b98b498bbb9251b17c9f70ef", "input": "Problem: a driver just filled the car ' s gas tank with 45 liters of gasohol , a mixture consisting of 5 % ethanol and 95 % gasoline . if the car runs best on a mixture consisting of 10 % ethanol and 90 % gasoline , how many liters of ethanol must be added into the gas tank for the car to achieve optimum performance ? \nOptions: a ) 1.3 , b ) 1.7 , c ) 2.1 , d ) 2.5 , e ) 2.9", "output": [ "d" ] }, { "id": "task1420-9aa0ec36a2734d7ba2d2465fea380cf1", "input": "Problem: tom read a book containing 1000 pages by reading the same number of pages each day . if he would have finished the book 5 days earlier by reading 15 pages a day more , how many days did tom spend reading the book ? \nOptions: a ) 20 , b ) 18 , c ) 16 , d ) 15 , e ) 15.39", "output": [ "e" ] }, { "id": "task1420-7aa4a50fe1c04d489f4520bb8860f059", "input": "Problem: the least number , which when divided by 12 , 15 , 20 and 63 leaves in each case a remainder of 8 is : \nOptions: a ) 448 , b ) 488 , c ) 542 , d ) 1268 , e ) 560", "output": [ "d" ] }, { "id": "task1420-c8b9831c784f44f6a1a16c7fdbb71d20", "input": "Problem: how many integers are between 4 and 88 / 9 , inclusive ? \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "d" ] }, { "id": "task1420-9c13133b5cee4957862c0e4d91ddb91b", "input": "Problem: what is the greatest integer m for which the number 50 ! / 14 ^ m is an integer ? \nOptions: a ) 11 , b ) 10 , c ) 9 , d ) 8 , e ) 7", "output": [ "d" ] }, { "id": "task1420-3ccab1c3ce49450aa23bd2db52e88539", "input": "Problem: there are 4 runners on a track team who run an average of 4.5 seconds per 40 yards . if another runner joins their team who runs 4.3 seconds per 40 yards , what will the new average 40 yard time be ? \nOptions: a ) 4.46 , b ) 4.39 , c ) 4.42 , d ) 4.49 , e ) 4.33", "output": [ "a" ] }, { "id": "task1420-c38fc2c026ae413aba79b748d4ad7359", "input": "Problem: if x / 2 years ago roger was 18 years old and x / 2 years from now he will be 4 x years old , how old will he be 5 x years from now ? \nOptions: a ) 32 , b ) 35 , c ) 30 , d ) 51 , e ) 28", "output": [ "d" ] }, { "id": "task1420-623e1420df904c60b642a48300b9097f", "input": "Problem: a man is 25 years older than his son . in two years , his age will be twice the age of his son . the present age of his son is \nOptions: a ) 21 , b ) 22 , c ) 20 , d ) 18 , e ) 23", "output": [ "e" ] }, { "id": "task1420-b2f9ebf06b194273a5268378b1c4c7f6", "input": "Problem: . for the fifa world cup , paul the octopus has been predicting the winner of each match with amazing success . it is rumored that in a match between 2 teams a and b , paul picks a with the same probability as a ’ s chances of winning . let ’ s assume such rumors to be true and that in a match between ghana and bolivia ; ghana the stronger team has a probability of 2 / 3 of winning the game . what is the probability that paul will correctly pick the winner of the ghana - bolivia game ? \nOptions: a ) 59 , b ) 88 , c ) 77 , d ) 26 , e ) 18", "output": [ "a" ] }, { "id": "task1420-57a7471258664fd4b6967f50890a7585", "input": "Problem: the sum of the squares of two consecutive positive integers exceeds their product by 91 . find the integers ? \nOptions: a ) 9 , 10 , b ) 10 , 11 , c ) 11 , 12 , d ) 12 , 13 , e ) none of these", "output": [ "a" ] }, { "id": "task1420-cf135e006ee140d89e4b3de71cf61897", "input": "Problem: a certain sum of money is divided among a , b and c such that a gets one - third of what b and c together get and b gets two - seventh of what a and c together get . if the amount received by a is $ 35 more than that received by b , find the total amount shared by a , b and c . \nOptions: a ) $ 1360 , b ) $ 1250 , c ) $ 1260 , d ) $ 1270 , e ) $ 1280", "output": [ "c" ] }, { "id": "task1420-f6fe444702e94b6884c37f8204a74075", "input": "Problem: at the end of year x , automobile installment credit accounted for 20 % of all outstanding consumer installment credit . at that time automobile finance companies extended $ 57 billion of credit , or 1 / 3 of the automobile installment credit . how many billion dollars of consumer installment credit was outstanding at that time ? \nOptions: a ) 171 , b ) 855 , c ) 870 , d ) 788 , e ) 684", "output": [ "b" ] }, { "id": "task1420-ea0a1808d65844d19ff3205c0aaaff37", "input": "Problem: a man engaged a servant on the condition that he would pay him rs . 800 and a uniform after one year service . he served only for 9 months and received uniform and rs . 400 , find the price of the uniform ? \nOptions: a ) s . 800 , b ) s . 85 , c ) s . 90 , d ) s . 100 , e ) s . 120", "output": [ "a" ] }, { "id": "task1420-77939aa5489c4f43aaf451f153272110", "input": "Problem: in a tree , 3 / 7 of the birds are parrots while the rest are toucans . if 2 / 3 of the parrots are female and 7 / 10 of the toucans are female , what fraction of the birds in the tree are male ? \nOptions: a ) 3 / 7 , b ) 11 / 35 , c ) 16 / 35 , d ) 31 / 70 , e ) 37 / 70", "output": [ "b" ] }, { "id": "task1420-de7751f1e40744bca9779c5cdb57a30f", "input": "Problem: how many positive integers less than 5,000 are evenly divisible by neither 13 nor 21 ? \nOptions: a ) 4,514 , b ) 4,475 , c ) 4,521 , d ) 4,428 , e ) 4,349", "output": [ "e" ] }, { "id": "task1420-6af66a61627f41408ed530705a75baf7", "input": "Problem: a manufacturer produces a certain men ' s athletic shoe in integer sizes from 8 to 17 . for this particular shoe , each unit increase in size corresponds to a 1 / 5 - inch increase in the length of the shoe . if the largest size of this shoe is 40 % longer than the smallest size , how long , in inches , is the shoe in size 15 ? \nOptions: a ) 5.4 , b ) 5.9 , c ) 6.3 , d ) 6.7 , e ) 7.5", "output": [ "b" ] }, { "id": "task1420-d10acfd1b9d24fd896206bd6e8644c7a", "input": "Problem: if 2 ^ 2 n + 2 ^ 2 n + 2 ^ 2 n + 2 ^ 2 n = 4 ^ 22 , then n = \nOptions: a ) 3 , b ) 6 , c ) 12 , d ) 23 , e ) 21", "output": [ "e" ] }, { "id": "task1420-b2b5292951534c4ba6ab8dc649219995", "input": "Problem: what is 2 4 / 3 - 3 1 / 4 divided by 2 / 3 - 1 / 6 ? \nOptions: a ) 5 / 4 , b ) 2 / 3 , c ) 1 / 6 , d ) 5 / 2 , e ) 1 / 8", "output": [ "c" ] }, { "id": "task1420-14023a3e0e044332bbc87c25cdcd8de5", "input": "Problem: find the value of ( 55 + 113 / 78 ) × 78 \nOptions: a ) 4423 , b ) 4403 , c ) 4413 , d ) 2403 , e ) 4375", "output": [ "b" ] }, { "id": "task1420-39962f1861a144f9a4f53fb4dfff9a44", "input": "Problem: ( 9 ^ 5.6 x 9 ^ 10.3 ) ÷ 9 ^ 2.56256 = 9 ^ ? \nOptions: a ) 11.34 , b ) 12.34 , c ) 13.34 , d ) 14.34 , e ) 15.34", "output": [ "c" ] }, { "id": "task1420-29b7f5756415470d80e62b48d82e47fc", "input": "Problem: if a - b = 9 and a ^ 2 + b ^ 2 = 281 , find the value of ab \nOptions: a ) 100 , b ) 12 , c ) 15 , d ) 18 , e ) 19", "output": [ "a" ] }, { "id": "task1420-2f7ffd1e9ec6471eb70433e3de8657e5", "input": "Problem: there are 1200 jelly beans divided between two jars , jar x and jar y . if there are 400 fewer jelly beans in jar x than 3 times the number of beans in jar y , how many beans are in jar x ? \nOptions: a ) 650 , b ) 700 , c ) 750 , d ) 800 , e ) 850", "output": [ "d" ] }, { "id": "task1420-e9943de7c7b446f88cf1848ed0ff6541", "input": "Problem: the number 0.8 is how much greater than 1 / 8 ? \nOptions: a ) ½ , b ) 27 / 40 , c ) 1 / 50 , d ) 1 / 500 , e ) 2 / 500", "output": [ "b" ] }, { "id": "task1420-a740bcd86937486d948ef4382de387b1", "input": "Problem: what is the smallest number which when increased by 3 is divisible by 9 , 35 , 25 and 21 ? \nOptions: a ) 1572 , b ) 1782 , c ) 1992 , d ) 2122 , e ) 2342", "output": [ "a" ] }, { "id": "task1420-b423db17a1d34323b9a5c9b5c9a314bd", "input": "Problem: a man is 26 years older than his son . in two years , his age will be twice the age of his son . the present age of this son is \nOptions: a ) 78 years , b ) 22 years , c ) 88 years , d ) 66 years , e ) 24 years", "output": [ "e" ] }, { "id": "task1420-1d9af86a0a2944c1985b9ef1aafb7ec5", "input": "Problem: the number of boxes in a warehouse can be divided evenly into 6 equal shipments by boat or 27 equal shipments by truck . what is the smallest number of boxes that could be in the warehouse ? \nOptions: a ) 27 , b ) 33 , c ) 54 , d ) 81 , e ) 162", "output": [ "c" ] }, { "id": "task1420-5e635cd885f7448097cc2f150f603686", "input": "Problem: when n is divided by 12 , the remainder is 2 . what is the remainder when 4 n is divided by 5 ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "c" ] }, { "id": "task1420-b140ba4287b548a08e1bc886849f6d91", "input": "Problem: if a - b = 3 and a ^ 2 + b ^ 2 = 31 , find the value of ab . \nOptions: a ) 12 , b ) 15 , c ) 10 , d ) 11 , e ) 13", "output": [ "d" ] }, { "id": "task1420-18241ce8092f4ba1b921872060058b25", "input": "Problem: s is a set of 85 consecutive multiples of 5 . if the smallest number in s is 90 , then the greatest number in s is \nOptions: a ) 158 , b ) 597 , c ) 599 , d ) 402 , e ) 510", "output": [ "e" ] }, { "id": "task1420-15f9447e86df4bfeb5dc650d94cf883f", "input": "Problem: a 12 month project had a total budget of $ 42000 . after 8 months , the project had spent $ 23700 . at this point , how much was the project under budget ? \nOptions: a ) $ 4100 , b ) $ 4300 , c ) $ 4500 , d ) $ 4700 , e ) $ 4900", "output": [ "b" ] }, { "id": "task1420-4f6d1e6149994e1f8d36081a0fabd17e", "input": "Problem: in a mixed college 160 students are there in one class . out of this 160 students 3 / 5 students are girls . how many boys are there ? \nOptions: a ) a ) 40 , b ) b ) 64 , c ) c ) 80 , d ) d ) 120 , e ) e ) 140", "output": [ "b" ] }, { "id": "task1420-029c1f4146044e1ebc7d323c4e2671ee", "input": "Problem: what is the difference between the largest and the smallest number written with 7 , 7 , 0 , 7 ? \nOptions: a ) 6893 , b ) 6993 , c ) 6093 , d ) 693 , e ) none", "output": [ "d" ] }, { "id": "task1420-d678ee6096c243f094e7fe9632458414", "input": "Problem: a 100 - litre mixture of milk and water contains 49 litres of milk . ' x ' litres of this mixture is removed and replaced with an equal quantum of water . if the process is repeated once , then the concentration of the milk stands reduced at 25 % . what is the value of x ? \nOptions: a ) 27.5 litres , b ) 26.67 litres , c ) 27.67 litres , d ) 28.57 litres , e ) 26 litres", "output": [ "d" ] }, { "id": "task1420-9b36568e41b540ccac5e35b690e4a673", "input": "Problem: a trailer carries 3 , 4 and 5 crates on a trip . each crate weighs no less than 1250 kg . what is the maximum weight of the crates on a single trip ? \nOptions: a ) 1250 , b ) 6250 , c ) 600 , d ) 7500 , e ) 375", "output": [ "b" ] }, { "id": "task1420-7d3aa282b4634d008df1171e568514ae", "input": "Problem: drum x is 1 / 2 full of oil and drum y , which has twice the capacity of drum x , is 2 / 5 full of oil . if all of the oil in drum x is poured into drum y , then drum y will be filled to what capacity ? \nOptions: a ) 4 / 5 , b ) 8 / 15 , c ) 11 / 15 , d ) 9 / 20 , e ) 13 / 20", "output": [ "e" ] }, { "id": "task1420-16c4fbfeeab44bcc80fc80d07fed8c86", "input": "Problem: the mean of 50 observations is 200 . but later he found that there is decrements of 34 from each observations . what is the the updated mean is ? \nOptions: a ) 165 , b ) 166 , c ) 190 , d ) 198 , e ) 199", "output": [ "b" ] }, { "id": "task1420-12f2c7c58288487196a1de0ad70cd88e", "input": "Problem: a sum of money is sufficient to pay a ' s wages for 21 days and b ' s wages for 28 days . the same money is sufficient to pay the wages of both for ? \nOptions: a ) 12 days , b ) 12 1 / 4 days , c ) 14 days , d ) 24 1 / 2 days , e ) none of these", "output": [ "a" ] }, { "id": "task1420-c77e8f17cee74e79ab374e7cc6322b2b", "input": "Problem: workers decided to raise rs . 3 lacs by equal contribution from each . had they contributed rs . 50 eachextra , the contribution would have been rs . 3.25 lacs . how many workers were they ? \nOptions: a ) 350 , b ) 400 , c ) 500 , d ) 550 , e ) 590", "output": [ "c" ] }, { "id": "task1420-a841d6b9eab14403ab0859883fb615f4", "input": "Problem: linda spent 3 / 4 of her savings on furniture and the rest on a tv . if the tv cost her $ 230 , what were her original savings ? \nOptions: a ) $ 900 , b ) $ 800 , c ) $ 1000 , d ) $ 920 , e ) $ 1500", "output": [ "d" ] }, { "id": "task1420-033efac374d84ab7af2d4421cc5ffc33", "input": "Problem: if m and n are positive integer , and 1800 m = n ^ 3 , what is the least possible value of m ? \nOptions: a ) 2 , b ) 3 , c ) 15 , d ) 30 , e ) 45", "output": [ "c" ] }, { "id": "task1420-736d1a563af04f93acd7dbd229252783", "input": "Problem: solve x 2 – 3 x – 4 = 0 . \nOptions: a ) 1,4 , b ) - 1,4 , c ) 2,3 , d ) 2 , - 3 , e ) 3,4", "output": [ "b" ] }, { "id": "task1420-ed5beeb9fdab4a2cabdd2afc4646067d", "input": "Problem: on dividing 127 by a number , the quotient is 9 and the remainder is 1 . find the divisor . \nOptions: a ) a ) 12 , b ) b ) 14 , c ) c ) 16 , d ) d ) 18 , e ) e ) 22", "output": [ "b" ] }, { "id": "task1420-0173741149c64d29af652fd0db31aec0", "input": "Problem: mr yadav spends 60 % of his monthly salary on consumable items and 50 % of the remaining on clothes and transport . he saves the remaining amount . if his savings at the end of the year were 19008 , how much amount per month would he have spent on clothes and transport ? \nOptions: a ) 4038 , b ) 8076 , c ) 9691.2 , d ) 1584 , e ) 1625", "output": [ "d" ] }, { "id": "task1420-7a1f8cdc98464785a556f4207bafdf9b", "input": "Problem: a box contains 8 apples , 7 of which are red . an apple is drawn from the box and its color is noted before it is eaten . this is done a total of n times , and the probability that a red apple is drawn each time is less than 0.5 . what is the smallest possible value of n ? \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "c" ] }, { "id": "task1420-7ab21d8e13934885a6138053137b424a", "input": "Problem: the difference between a two - digit number and the number obtained by interchanging the positions of its digits is 81 . what is the difference between the two digits of that number ? \nOptions: a ) 4 , b ) 5 , c ) 6 , d ) 8 , e ) 9", "output": [ "e" ] }, { "id": "task1420-1f75209aa8054fbab7025fa7dd809554", "input": "Problem: 5 20 380 144020 ? \nOptions: a ) 20741616380 , b ) 20841616380 , c ) 21741616380 , d ) 22741616380 , e ) 20791616380", "output": [ "a" ] }, { "id": "task1420-0b5daad8d1e74f16b629cbfd9b701875", "input": "Problem: in a group of ducks and cows , the total number of legs are 30 more than twice the no . of heads . find the total no . of buffaloes . \nOptions: a ) 11 , b ) 12 , c ) 14 , d ) 15 , e ) 18", "output": [ "d" ] }, { "id": "task1420-3c92093217f24115bb814930743d6a89", "input": "Problem: in a graduating class , 40 percent of the students are male . in this class , 60 percent of the male students and 40 percent of the female students are 25 years old or older . if one student in the class is randomly selected , approximately what is the probability that he or she will be less than 25 years old ? \nOptions: a ) 0.4 , b ) 0.44 , c ) 0.48 , d ) 0.52 , e ) 0.56", "output": [ "d" ] }, { "id": "task1420-902104f9c5d7432c985c8696fc5dd85b", "input": "Problem: the ages of two persons differ by 16 years . if 6 years agao , the elder one be 3 times as old as the younger one , find their present ages . \nOptions: a ) 20 years . , b ) 30 years . , c ) 40 years . , d ) 50 years . , e ) 60 years .", "output": [ "b" ] }, { "id": "task1420-dcb4b819560d4a219dd88a13791d7a9d", "input": "Problem: a man has some hens and cows . if the number of heads be 48 and the number of feet equals 144 , then the number of hens will be : \nOptions: a ) 22 , b ) 23 , c ) 24 , d ) 26 , e ) 28", "output": [ "c" ] }, { "id": "task1420-7a983c6b07e943739f7fc9f15bcfba27", "input": "Problem: a ’ s speed is 25 / 18 times that of b . if a and b run a race , what part of the length of the race should a give b as a head start , so that the race ends in a dead heat ? \nOptions: a ) 1 / 18 , b ) 7 / 18 , c ) 7 / 25 , d ) 3 / 25 , e ) 1 / 25", "output": [ "c" ] }, { "id": "task1420-af3735c1f1114ad994fcfca973ae07fb", "input": "Problem: the difference between the place values of 9 and 4 in the number 529435 is \nOptions: a ) 8500 , b ) 8900 , c ) 8600 , d ) 6970 , e ) none", "output": [ "c" ] }, { "id": "task1420-99e8ba392bbb42e5b7f7802445e75c15", "input": "Problem: if sales tax is reduced from 5 % to 4 % , then what difference it will make if you purchase an item of rs . 1000 \nOptions: a ) 10 , b ) 20 , c ) 30 , d ) 40 , e ) 50", "output": [ "a" ] }, { "id": "task1420-86248795607548c2b15546d3350e448c", "input": "Problem: from below option 27 is divisible by which one ? \nOptions: a ) a ) 4 , b ) b ) 8 , c ) c ) 9 , d ) d ) 10 , e ) e ) 911", "output": [ "c" ] }, { "id": "task1420-e96be03142674ea484cc652f4dc994ba", "input": "Problem: the average weight of a class is x pounds . when a new student weighing 70 pounds joins the class , the average decreases by 1 pound . in a few months the student ’ s weight increases to 110 pounds and the average weight of the class becomes x + 4 pounds . none of the other students ’ weights changed . what is the value of x ? \nOptions: a ) 26 , b ) 86 , c ) 88 , d ) 90 , e ) 92", "output": [ "a" ] }, { "id": "task1420-e1b024288e9f4e4d9f5624737002ffd2", "input": "Problem: there are 6 people in the elevator . their average weight is 160 lbs . another person enters the elevator , and increases the average weight to 151 lbs . what is the weight of the 7 th person . \nOptions: a ) 97 , b ) 168 , c ) 189 , d ) 190 , e ) 200", "output": [ "a" ] }, { "id": "task1420-680d9d10a1c04aa49730d05b727b73f9", "input": "Problem: solve the equation for x : 21 ( x + y ) + 5 = 21 ( - x + y ) + 47 \nOptions: a ) - 2 , b ) - 1 , c ) 0 , d ) 2 , e ) 1", "output": [ "e" ] }, { "id": "task1420-9089b014d8a74dd6b9e8446317b5bcd8", "input": "Problem: a man is 30 years older than his son . in two years , his age will be twice the age of his son . the present age of the son is \nOptions: a ) 14 years , b ) 28 years , c ) 20 years , d ) 22 years , e ) none", "output": [ "b" ] }, { "id": "task1420-dda28270ca374dbca2f21b2e5eb8f6a4", "input": "Problem: 7 people went to a restaurant for dinner . 6 of them spent $ 11 each on their meals and the seventh person spent $ 6 more than the average expenditure of all 7 people . what was the total amount of money that the 7 people spent ? \nOptions: a ) $ 80 , b ) $ 81 , c ) $ 82 , d ) $ 83 , e ) $ 84", "output": [ "e" ] }, { "id": "task1420-887632f1ee5049bab802847547304c32", "input": "Problem: there are 280 female managers in a certain company . find the total number of female employees in the company , if 2 / 5 of all the employees are managers and 2 / 5 of all male employees are managers . \nOptions: a ) 600 , b ) 650 , c ) 700 , d ) 750 , e ) none of these", "output": [ "c" ] }, { "id": "task1420-07bdb840947b4d5a885d54d50e8f6aa7", "input": "Problem: a contest will consist of n questions , each of which is to be answered eithertrueorfalse . anyone who answers all n questions correctly will be a winner . what is the least value of n for which the probability is less than 1 / 10 that a person who randomly guesses the answer to each question will be a winner ? \nOptions: a ) 5 , b ) 10 , c ) 50 , d ) 100 , e ) 1000", "output": [ "d" ] }, { "id": "task1420-51cd669e61b74330bdf634b423018a49", "input": "Problem: in a photography exhibition , some photographs were taken by octavia the photographer , and some photographs were framed by jack the framer . jack had framed 24 photographs taken by octavia , and 12 photographs taken by other photographers . if 36 of the photographs in the exhibition were taken by octavia , how many photographs were either framed by jack or taken by octavia ? \nOptions: a ) 36 , b ) 48 , c ) 72 , d ) 96 , e ) 108", "output": [ "b" ] }, { "id": "task1420-a140f08b16484c7fb78dabbb38cbc9a6", "input": "Problem: if ( x + 1 ) ( x + 3 ) = x ^ 2 + x , what is a possible value of x ? \nOptions: a ) 2 , b ) 3 , c ) - 1 / 3 , d ) - 3 , e ) - 1", "output": [ "e" ] }, { "id": "task1420-59c2036b2356476cb68ff27015fdd6ee", "input": "Problem: a car was driving at 50 km / h for 30 minutes , and then at 40 km / h for another 30 minutes . what was its average speed ? \nOptions: a ) 80 . , b ) 75 . , c ) 70 . , d ) 65 . , e ) 54 .", "output": [ "a" ] }, { "id": "task1420-f9b9051a1c634a31b9873aed32ea8335", "input": "Problem: a sports retailer ordered white and yellow tennis balls in equal number but the dispatch clerk of the tennis ball company erred and dispatched 50 extra yellow balls and making ratio of white balls to yellow balls 7 / 11 . how many tennis balls did the retailer order originally . \nOptions: a ) 17.5 , b ) 130 , c ) 175 , d ) 195 , e ) 220", "output": [ "c" ] }, { "id": "task1420-7439daea854345c798833f83a8a16dfd", "input": "Problem: find the value of x , y by solving the below equations x + y = 15 x - y = 5 \nOptions: a ) 10 , 5 , b ) 8 , 7 , c ) 9 , 6 , d ) 11 , 4 , e ) 12 , 3", "output": [ "a" ] }, { "id": "task1420-4548bf99f42a4232bc5555e7efbbda6a", "input": "Problem: there are 5 more women than there are men on a local co - ed softball team . if there are a total of 15 players on the team , what is the ratio of men to women ? \nOptions: a ) 10 / 16 , b ) 6 / 16 , c ) 5 / 10 , d ) 6 / 10 , e ) 4 / 10", "output": [ "c" ] }, { "id": "task1420-73eb5fcc04644d13aabc7157b8f10579", "input": "Problem: the ratio of a to b is 4 to 5 , where a and b are positive . if x equals a increased by 25 percent of a , and m equals b decreased by 40 percent of b , what is the value of m / x ? \nOptions: a ) 2 / 5 , b ) 3 / 4 , c ) 4 / 5 , d ) 5 / 4 , e ) 3 / 5", "output": [ "e" ] }, { "id": "task1420-74c0aac656844bb6bd22bd2157dbcd41", "input": "Problem: a school has 7 maths 6 physics and 5 chemistry teachers each teacher can teach 3 subjects max what is he minimum number of teachers required \nOptions: a ) 3 , b ) 5 , c ) 6 , d ) 7 , e ) 8", "output": [ "c" ] }, { "id": "task1420-6948f3e08ea6467faccfce00d262cd22", "input": "Problem: find the value of ( 100 + 20 / 90 ) × 90 \nOptions: a ) 4520 , b ) 9100 , c ) 9150 , d ) 8120 , e ) 9020", "output": [ "e" ] }, { "id": "task1420-c352ff6a91eb4bcd8d36443514fb6534", "input": "Problem: sophia finished 23 of a book . she calculated that she finished 90 more pages than she has yet to read . how long is her book ? \nOptions: a ) 180 , b ) 200 , c ) 250 , d ) 270 , e ) 300", "output": [ "d" ] }, { "id": "task1420-a56a3ac48ac84a9096e1159b16a1c1b8", "input": "Problem: in a can , there is a mixture of milk and water in the ratio 4 : 3 . if the can is filled with an additional 10 liters of milk , the can would be full and the ratio of milk and water would become 5 : 2 . find the capacity of the can ? \nOptions: a ) 24 , b ) 26 , c ) 28 , d ) 30 , e ) 32", "output": [ "d" ] }, { "id": "task1420-2d3bcce2a1c44d3995611c698306f50a", "input": "Problem: an equal number of desks and bookcases are to be placed along a library wall that is 15 meters long . each desk is 2 meters long , and each bookshelf is 1.5 meters long . if the maximum possible number of desks and bookcases are to be placed along the wall , then the space along the wall that is left over will be how many g meters long ? \nOptions: a ) 0.5 , b ) 1 , c ) 1.5 , d ) 2 , e ) 3", "output": [ "b" ] }, { "id": "task1420-a8448d881a85442fa4cb0bc7a6d974d8", "input": "Problem: of the 3,600 employees of company x , 1 / 4 are clerical . if the clerical staff were to be reduced by 1 / 4 , what percent of the total number of the remaining employees would then be clerical ? \nOptions: a ) 25 % , b ) 22.2 % , c ) 20 % , d ) 12.5 % , e ) 11.1 %", "output": [ "c" ] }, { "id": "task1420-7da5d737076f429d917d61674d7dd986", "input": "Problem: { - 10 , - 6 , - 5 , - 4 , - 2.5 , - 1 , 0 , 2.5 , 4 , 6 , 7 , 10 } a number is to be selected at random from the set above . what is the probability that the number will be a solution to the equation ( x - 4 ) ( x + 9 ) ( 2 x + 5 ) = 0 ? \nOptions: a ) 1 / 12 , b ) 1 / 6 , c ) 1 / 4 , d ) 1 / 3 , e ) 1 / 2", "output": [ "a" ] }, { "id": "task1420-4c98515dfb7145ef8d9481937e15dc9c", "input": "Problem: how many odd 3 - digit integers greater than 800 are there such that all their digits are different ? \nOptions: a ) 40 , b ) 56 , c ) 72 , d ) 81 , e ) 104", "output": [ "c" ] }, { "id": "task1420-abb042b4c9244f9693c0be1806610b66", "input": "Problem: farm tax is levied on the 60 % of the cultivated land . the tax department collected total $ 5000 through the farm tax from the village of mr . william . mr . william paid only $ 480 as farm tax . the percentage of total land of mr . willam over the total taxable land of the village is : \nOptions: a ) 15 % , b ) 16 % , c ) 0.125 % , d ) 0.2083 % , e ) none", "output": [ "b" ] }, { "id": "task1420-51aa182010f24cf5a1eb19d4a1800c63", "input": "Problem: how many positive integers less than 17 can be expressed as the sum of a positive multiple of 2 and a positive multiple of 3 ? \nOptions: a ) 14 , b ) 13 , c ) 12 , d ) 11 , e ) 10", "output": [ "d" ] }, { "id": "task1420-c0ccde35d2654b1497d43ddfed8abb95", "input": "Problem: the average weight of 16 girls in a class is 50.25 kg and that of the remaining 8 girls is 45.15 kg . find the average weights of all the girls in the class . \nOptions: a ) a ) 48.55 , b ) b ) 49 , c ) c ) 51 , d ) d ) 61 , e ) e ) 62", "output": [ "a" ] }, { "id": "task1420-705a3a2c8a0642dd9d7841194457b5cc", "input": "Problem: if rs . 595 be divided among a , b , c in such a way that a gets 2 / 3 of what b gets and b gets 1 / 4 of what c gets , then their shares are respectively ? \nOptions: a ) s . 420 , b ) s . 360 , c ) s . 389 , d ) s . 368 , e ) s . 323", "output": [ "a" ] }, { "id": "task1420-d177846c12e74d8ba88168dcc6297503", "input": "Problem: in a graduating class , 40 percent of the students are male . in this class , 40 percent of the male students and 20 percent of the female students are 25 years old or older . if one student in the class is randomly selected , approximately what is the probability that he or she will be less than 25 years old ? \nOptions: a ) 0.9 , b ) 0.72 , c ) 0.45 , d ) 0.35 , e ) 0.28", "output": [ "b" ] }, { "id": "task1420-f5679cb25bf446598f09cedcc4542571", "input": "Problem: a man spend 1 / 5 of his salary on food , 1 / 10 of his salary on house rent and 3 / 5 salary on clothes . he still has $ 15000 left with him . find salary . . \nOptions: a ) $ 150000 , b ) $ 18000 , c ) $ 180000 , d ) $ 1800 , e ) none", "output": [ "a" ] }, { "id": "task1420-29b4a38bc15a426b948ce9d8c489f2f9", "input": "Problem: a certain company had a total annual expenditure of 1.26 ∗ 10 ^ 7 on employee salaries last year . if the company employed 420 people , what was the average employee salary ? \nOptions: a ) $ 20,000 , b ) $ 25,000 , c ) $ 35,000 , d ) $ 30,000 , e ) $ 45,000", "output": [ "d" ] }, { "id": "task1420-d76814e687324ccbbab68cf02f88287d", "input": "Problem: 4 shepherds were watching over the flocks and they were commenting on how many sheep they each had . if ram had 3 more sheep than he would have one less than rahul . wheras akar has the same number as the other 3 shepherds put togeher . if john had 3 less sheep he would have exactly trile the number of ram . if they were evenly distributed if they would each have 11 seep how many sheep did ram have ? \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6", "output": [ "b" ] }, { "id": "task1420-676b01728bf34899ac0c36bee2502446", "input": "Problem: a company wants to spend equal amounts of money for the purchase of two types of computer printers costing $ 350 and $ 200 per unit , respectively . what is the fewest number of computer printers that the company can purchase ? \nOptions: a ) 9 , b ) 10 , c ) 11 , d ) 12 , e ) 13", "output": [ "c" ] }, { "id": "task1420-f3b70f7e91394bdc8b0ad75ae45d92ec", "input": "Problem: the hcf and lcm of two numbers m and n are respectively 6 and 210 . if m + n = 80 , then 1 / m + 1 / n is equal to \nOptions: a ) 1 / 35 , b ) 3 / 35 , c ) 5 / 37 , d ) 4 / 63 , e ) none", "output": [ "d" ] }, { "id": "task1420-ca967d266ced4e7ba1d47cd80d8f33cf", "input": "Problem: find the least number which when divided by 18,32 , 48,52 leaves remainder 14,28 , 44,48 respectively . \nOptions: a ) 2845 , b ) 3250 , c ) 3740 , d ) 4150 , e ) 5140", "output": [ "c" ] }, { "id": "task1420-71a481a479de45e8847ed9fecdacecab", "input": "Problem: the sum of ages of 5 children born 3 years different each is 60 yrs . what is the age of the elder child ? \nOptions: a ) 17 , b ) 19 , c ) 16 , d ) 18 , e ) 21", "output": [ "d" ] }, { "id": "task1420-c2b6abedc123434da29eac7a0fb7c855", "input": "Problem: when positive integer n is divided by positive integer j , the remainder is 12 . if n / j = 134.08 , what is value of j ? \nOptions: a ) 22 , b ) 56 , c ) 78 , d ) 112 , e ) 150", "output": [ "e" ] }, { "id": "task1420-9f66c181b65542ad83bc63c990367d3c", "input": "Problem: for any integer n greater than 1 , n * denotes the product of all the integers from 1 to n , inclusive . how many prime numbers t are there between 6 * + 2 and 6 * + 6 , inclusive ? \nOptions: a ) none , b ) one , c ) two , d ) three , e ) four", "output": [ "a" ] }, { "id": "task1420-6e9dce52e8944a3d833299dbcd542960", "input": "Problem: joan took out a mortgage from hel local bank . each monthly mortgage payment she makes must be triple the amount of the previous month ' s payment . if her first payment is $ 100 , and the total amount she must pay back is $ 12100 , how many months will it take joan to pay back her mortgage ? \nOptions: a ) 6 , b ) 8 , c ) 10 , d ) 5 , e ) 13", "output": [ "d" ] }, { "id": "task1420-6661c68be39a4be3b4311dcfde0c5e48", "input": "Problem: if n = 8 ^ 9 – 8 , what is the units digit of n ? \nOptions: a ) 4 , b ) 0 , c ) 1 , d ) 2 , e ) 3", "output": [ "b" ] }, { "id": "task1420-ad23fe1f15a24c1f934d64f0a4e3dfa5", "input": "Problem: the average weight of 8 person ' s increases by 2.5 kg when a new person comes in place of one of them weighing 35 kg . what is the weight of the new person ? \nOptions: a ) 75 , b ) 65 , c ) 55 , d ) 95 , e ) 80", "output": [ "c" ] }, { "id": "task1420-298cd81bf749463ea1919f37aac2a6f4", "input": "Problem: when 1 / 10 percent of 7000 is subtracted from 1 / 10 of 7000 , the difference is \nOptions: a ) 0 , b ) 50 , c ) 450 , d ) 693 , e ) 500", "output": [ "d" ] }, { "id": "task1420-65c59ed703df47d1b4692eabd8a27c8a", "input": "Problem: a certain characteristic in a large population has a distribution that is symmetric about the mean a . if 68 % of the distribution lies one standard deviation d of the mean , what percent of the distribution is less than a + d ? \nOptions: a ) 16 % , b ) 32 % , c ) 48 % , d ) 84 % , e ) 92 %", "output": [ "d" ] }, { "id": "task1420-6c1c5b1261b74f4d84a59e5030d860d1", "input": "Problem: the average ( arithmetic mean ) of the even integers from 0 to 60 inclusive is how much greater than the average ( arithmetic mean ) of the even integers from 0 to 30 inclusive ? \nOptions: a ) 10 , b ) 15 , c ) 20 , d ) 25 , e ) 30", "output": [ "b" ] }, { "id": "task1420-c4bf84a695cb4606a464a3e279439ff4", "input": "Problem: the prices of tea and coffee per kg were the same in june . in july the price of coffee shot up by 20 % and that of tea dropped by 20 % . if in july , a mixture containing equal quantities of tea and coffee costs 90 / kg . how much did a kg of coffee cost in june ? \nOptions: a ) 50 , b ) 60 , c ) 80 , d ) 90 , e ) 120", "output": [ "d" ] }, { "id": "task1420-84235d98b654483cb7e49a67b422754b", "input": "Problem: dropbox charges $ 3.10 for first 1 / 5 of a month for 500 gb storage , plus $ 0.40 for each additional 1 / 5 of a month . what would dropbox charge for a data storage of 500 gb for 8 months ? \nOptions: a ) $ 15.60 , b ) $ 16.00 , c ) $ 17.80 , d ) $ 18.70 , e ) $ 19.10", "output": [ "d" ] }, { "id": "task1420-ec3bf2b74c4e44e6b840910e92e6fdb3", "input": "Problem: if f ( x ) = 12 - x ^ 2 / 2 and f ( 2 k ) = 3 k , what is one possible value for k ? \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 6 , e ) 8", "output": [ "b" ] }, { "id": "task1420-c17d7a9ba8294c52a40b176d0f0d8960", "input": "Problem: a certain bus driver is paid a regular rate of $ 16 per hour for any number of hours that does not exceed 40 hours per week . for any overtime hours worked in excess of 40 hours per week , the bus driver is paid a rate that is 75 % higher than his regular rate . if last week the bus driver earned $ 752 in total compensation , how many total hours did he work that week ? \nOptions: a ) 36 , b ) 40 , c ) 44 , d ) 48 , e ) 52", "output": [ "c" ] }, { "id": "task1420-3bca18006384438e92a2b969e0845e3e", "input": "Problem: a gambler bought $ 3,000 worth of chips at a casino in denominations of $ 20 and $ 100 . that evening , the gambler lost 16 chips , and then cashed in the remainder . if the number of $ 20 chips lost was 2 more or 2 less than the number of $ 100 chips lost , what is the largest amount of money that the gambler could have received back ? \nOptions: a ) $ 2,040 , b ) $ 2,120 , c ) $ 1,960 , d ) $ 1,920 , e ) $ 1,400", "output": [ "b" ] }, { "id": "task1420-a9a31f2cc65944bc9986a7785d24bd1a", "input": "Problem: a person spends 1 / 3 rd of the money with him on clothes , 1 / 5 th of the remaining on food and 1 / 4 th of the remaining on travel . now , he is left with rs 400 . how much did he have with him in the beginning ? \nOptions: a ) s 200 , b ) s 1000 , c ) s 300 , d ) s 450 , e ) s 550", "output": [ "b" ] }, { "id": "task1420-b2eeae443dde45238e4561f540da7a93", "input": "Problem: a cube with its sides numbered 1 through 6 is rolled twice , first landing on a and then landing on b . if any roll of the cube yields an equal chance of landing on any of the numbers 1 through 6 , what is the probability t that a + b is prime ? \nOptions: a ) 0 , b ) 1 / 12 , c ) 5 / 12 , d ) 7 / 18 , e ) 4 / 9", "output": [ "c" ] }, { "id": "task1420-b1498da3cc3d43528062fc50d30f1a88", "input": "Problem: what are the last two digits of ( 301 * 402 * 503 * 604 * 645 * 547 * 448 * 349 ) ^ 2 \nOptions: a ) 96 , b ) 76 , c ) 56 , d ) 36 , e ) 00", "output": [ "e" ] }, { "id": "task1420-012ddb1d17e44ef3bf2e452d059d5908", "input": "Problem: a solution of 70 litres contains oil and water in the ratio 9 : x . if 6 litres of water is added to the solution , the ratio becomes 6 : 4 , find the value of x ? \nOptions: a ) 6 , b ) 8.5 , c ) 9 , d ) 6.5 , e ) 5", "output": [ "e" ] }, { "id": "task1420-cf7c12a759cd4dbfa16693004768a1f3", "input": "Problem: in a certain country 1 / 3 of 4 = 8 . assuming the same proportion , what would be the value of 1 / 8 of 4 ? \nOptions: a ) 2 , b ) 6 , c ) 5 , d ) 4 , e ) 3", "output": [ "e" ] }, { "id": "task1420-47d831b9476d4c7a81e506f1a97d694e", "input": "Problem: the sum of the first 40 positive even integers is 2,550 . what is the sum of the odd integers from 101 to 200 , inclusive ? \nOptions: a ) 6,500 , b ) 7,500 , c ) 10,500 , d ) 15,000 , e ) 19,600", "output": [ "a" ] }, { "id": "task1420-3052240c7624406f85263f080a4fdd7a", "input": "Problem: if x ¤ y = ( x + y ) ^ 2 - ( x - y ) ^ 2 . then √ 2 ¤ √ 2 = \nOptions: a ) 0 , b ) 8 , c ) 10 , d ) 15 , e ) 20", "output": [ "b" ] }, { "id": "task1420-8739756b211a4347ad9ef6261c84c055", "input": "Problem: toby is 4 years younger than debby . thrice the sum of the ages of toby and debby equals their mother ’ s age . if the age of the mother is 60 , find the ages of toby and debby ? \nOptions: a ) 8 and 12 , b ) 5 and 9 , c ) 6 and 10 , d ) 5 and 10 , e ) 12 and 16", "output": [ "a" ] }, { "id": "task1420-e4e102da38a840bd8babcbc6c4837e41", "input": "Problem: a and b are two partially filled buckets of water . if 2 liters are transferred from a to b , then a would contain one - third of the amount of water in b . alternatively , if 2 liters are transferred from b to a , b would contain one - half of the amount of water in a . bucket a contains how many liters of water ? \nOptions: a ) 11 , b ) 13 , c ) 17 , d ) 21 , e ) 22 / 5", "output": [ "e" ] }, { "id": "task1420-1c92d90834be49a99a547519b838e490", "input": "Problem: the sum of the present age of henry and jill is 40 . what is their present ages if 11 years ago henry was twice the age of jill ? \nOptions: a ) and 27 , b ) and 24 , c ) and 23 , d ) and 29 , e ) of these", "output": [ "c" ] }, { "id": "task1420-3c11213ddba9412c98d0069e5e2d028f", "input": "Problem: 365 : 90 : : 623 : ? \nOptions: a ) 36 , b ) 45 , c ) 123 , d ) 63 , e ) none of these", "output": [ "a" ] }, { "id": "task1420-d403268251624bc19ec8bcf7013e0c61", "input": "Problem: if the operation x is defined by a x b = ( b - a ) ^ 2 / a ^ 2 for all numbers a and b , and a ≠ 0 , then − 1 x ( 1 x − 1 ) = \nOptions: a ) − 1 , b ) 0 , c ) 1 , d ) 25 , e ) 29", "output": [ "d" ] }, { "id": "task1420-51913616836a483a95084df354159bb5", "input": "Problem: dacid obtained 45 , 35 , 52 , 47 and 55 marks ( out of 100 ) in english , mathematics , physics , chemistry and biology . what are his average marks ? \nOptions: a ) 79 , b ) 99 , c ) 47 , d ) 89 , e ) 45", "output": [ "c" ] }, { "id": "task1420-5db3d3d4462c41519ae248979886479f", "input": "Problem: what is the least number which should be added to 2597 so that the sum is exactly divisible by 5 , 6 , 4 , and 3 ? \nOptions: a ) 17 , b ) 23 , c ) 26 , d ) 35 , e ) 43", "output": [ "e" ] }, { "id": "task1420-08b98466b1ef464eb1b30a7fd1613301", "input": "Problem: a fruit - salad mixture consists of apples , peaches , and grapes in the ratio 6 : 5 : 2 , respectively , by weight . if 78 pounds of the mixture is prepared , the mixture includes how many more pounds of apples than grapes ? \nOptions: a ) 24 , b ) 12 , c ) 9 , d ) 6 , e ) 4", "output": [ "a" ] }, { "id": "task1420-6befa143e37648a6bb62cd13598decb6", "input": "Problem: the population of a bacteria culture doubles every 2 minutes . approximately how many minutes will it take for the population to grow from 1,000 to 100,000 bacteria \nOptions: a ) 10 , b ) 12 , c ) 14 , d ) 16 , e ) 18", "output": [ "c" ] }, { "id": "task1420-710959cc1fcc418ca378955aa1ca5386", "input": "Problem: payal finished 2 / 3 of a book . she calculated that she finished 20 more pages than she has yet to read . how long is her book ? \nOptions: a ) a ) 60 , b ) b ) 150 , c ) c ) 130 , d ) d ) 90 , e ) e ) 210", "output": [ "a" ] }, { "id": "task1420-87031e9a79ff43e4b82ad3cd2a69f7b1", "input": "Problem: in a basketball game , tim scored 20 points more than joe , but only half as many points as ken . if the 3 players scored a combined total of 100 points , how many points did tim score ? \nOptions: a ) 15 , b ) 20 , c ) 25 , d ) 30 , e ) 45", "output": [ "d" ] }, { "id": "task1420-552fce016bd749ef83b594d21a2d27e3", "input": "Problem: $ 392 is divided among a , b , and c so that a receives half as much as b , and b receives half as much as c . how much money is c ' s share ? \nOptions: a ) $ 212 , b ) $ 216 , c ) $ 220 , d ) $ 224 , e ) $ 228", "output": [ "d" ] }, { "id": "task1420-4aedef43bbeb4dc494a22cb9b23973ac", "input": "Problem: joe went on a diet 4 months ago when he weighed 212 pounds . if he now weighs 188 pounds and continues to lose at the same average monthly rate , in approximately how many months will he weigh 160 pounds ? \nOptions: a ) 3 , b ) 3.5 , c ) 4 , d ) 4.5 , e ) 5", "output": [ "d" ] }, { "id": "task1420-ecf2e53ce8ee46e7a50d2401750ca541", "input": "Problem: $ 200 is divided amongst a , b and c so that a may get 2 / 3 as much as b and c together , b may get 6 / 9 as much as a and c together , then the share of a is \nOptions: a ) $ 80 , b ) $ 50 , c ) $ 25 , d ) $ 200 , e ) $ 50", "output": [ "a" ] }, { "id": "task1420-decb90462f3346f8b33f5419a79ec111", "input": "Problem: if m is a positive integer and m ^ 2 is divisible by 36 , then the largest positive integer that must divide m is ? \nOptions: a ) 3 , b ) 6 , c ) 8 , d ) 12 , e ) 16", "output": [ "d" ] }, { "id": "task1420-9d6dcf094ab84124b5b530bbf7904137", "input": "Problem: a man saves 30 % of his monthly salary . if an account of dearness of things he is to increase his monthly expenses by 30 % , he is only able to save rs . 300 per month . what is his monthly salary ? \nOptions: a ) rs . 4000 , b ) rs . 3750 , c ) rs . 5000 , d ) rs . 5500 , e ) rs . 6500", "output": [ "b" ] }, { "id": "task1420-617c0e88544045dbade181ff937c0676", "input": "Problem: if 4 ^ k = 5 , then 4 ^ ( 2 k + 2 ) = \nOptions: a ) 400 , b ) 540 , c ) 100 , d ) 830 , e ) 420", "output": [ "a" ] }, { "id": "task1420-318fabc891984d93bc62a78ef17d79b2", "input": "Problem: a man engaged a servant on the condition that he would pay him rs . 900 and a uniform after 1 year service . he served only for 9 months and receiveduniform and rs . 650 , find the priceof the uniform ? \nOptions: a ) rs . 90 , b ) rs . 100 , c ) rs . 120 , d ) rs . 150 , e ) rs . 160", "output": [ "b" ] }, { "id": "task1420-d3abe0a82e7243909db853b5f3938c96", "input": "Problem: what number is 75 more than three - fourth of itself ? \nOptions: a ) 138 , b ) 225 , c ) 300 , d ) 324 , e ) 336", "output": [ "c" ] }, { "id": "task1420-502c046e774848e4954de4d0f8481efe", "input": "Problem: a , b and c are partners . a receives 2 / 3 of profits , b and c dividing the remainder equally . a ' s income is increased by rs . 400 when the rate to profit rises from 5 to 7 percent . find the capital of c ? \nOptions: a ) 3377 , b ) 2899 , c ) 5000 , d ) 2778 , e ) 1991", "output": [ "c" ] }, { "id": "task1420-a2599699c61447b0bc4e4db84e517042", "input": "Problem: company s produces two kinds of stereos : basic and deluxe . of the stereos produced by company s last month , 1 / 3 were basic and the rest were deluxe . if it takes 7 / 5 as many hours to produce a deluxe stereo as it does to produce a basic stereo , then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos ? \nOptions: a ) 7 / 17 , b ) 14 / 31 , c ) 7 / 15 , d ) 14 / 19 , e ) 1 / 2", "output": [ "d" ] }, { "id": "task1420-5ac89b69eedf4135a339c7afffd7ce10", "input": "Problem: sum of the squares of 3 no . is 149 and the sum of their products taken two at a time is 70 . find the sum ? \nOptions: a ) 17 , b ) 19 , c ) 21 , d ) 13 , e ) 18", "output": [ "a" ] }, { "id": "task1420-65953edf81484bdda793bd01306128bd", "input": "Problem: a courier charges for packages to a certain destination are 65 cents for the first 250 grams and 10 cents for each additional 100 grams or part thereof . what could be the weight in grams of a package for which the charge is $ 2.05 ? \nOptions: a ) 980 , b ) 1130 , c ) 1440 , d ) 1610 , e ) 1820", "output": [ "d" ] }, { "id": "task1420-8cc748abfcab492f9fb9d2c4889b6531", "input": "Problem: 3 / 4 of 1 / 2 of 2 / 5 of 5020 = ? \nOptions: a ) 392 , b ) 229 , c ) 753 , d ) 493 , e ) 540", "output": [ "c" ] }, { "id": "task1420-32358338482a4c96b1cb77d47fa35c78", "input": "Problem: a mixture contains milk and water in the ratio 5 : 4 . on adding 30 litters of water , the ratio of milk to water becomes 5 : 7 . total quantity of milk & water before adding water to it ? \nOptions: a ) 90 , b ) 120 , c ) 80 , d ) 70 , e ) 60", "output": [ "a" ] }, { "id": "task1420-711fe56539ad40dcacee12653b676259", "input": "Problem: if x dollars is invested at 10 percent for one year and y dollars is invested at 8 percent for one year , the annual income from the 10 percent investment will exceed the annual income from the 8 percent investment by $ 83 . if $ 2,000 is the total amount invested , how much is invested at 8 percent ? \nOptions: a ) $ 550 , b ) $ 650 , c ) $ 750 , d ) $ 850 , e ) $ 950", "output": [ "b" ] }, { "id": "task1420-0715b4cc226f4b5bb7041f8cd74a08fc", "input": "Problem: during a certain two - week period , 76 percent of the movies rented from a video store were comedies , and of the remaining movies rented , there were 5 times as many dramas as action movies . if no other movies were rented during that two - week period and there were a action movies rented , then how many comedies , in terms of a , were rented during that two - week period ? \nOptions: a ) 16 a , b ) 19 a , c ) 17 a , d ) 18 a , e ) 20 a", "output": [ "b" ] }, { "id": "task1420-cdd1ac3ac29f47669175f2ba216b60af", "input": "Problem: in a simultaneous throw of pair of dice . find the probability of getting the total more than 7 ? \nOptions: a ) 12 / 5 , b ) 5 / 12 , c ) 6 / 4 , d ) 2 / 3 , e ) 4 / 7", "output": [ "b" ] }, { "id": "task1420-d44eda08d0e44bf49f00c31df95e5977", "input": "Problem: dan ' s age after 16 years will be 4 times his age 8 years ago . what is the present age of dan ? \nOptions: a ) 12 , b ) 16 , c ) 20 , d ) 24 , e ) 28", "output": [ "b" ] }, { "id": "task1420-08bb1b49db7a457ea8c079ee5f81f675", "input": "Problem: ele , the circus elephant , is currently 3 times older than lyn , the circus lion . in 15 years from now , lyn the circus lion will be exactly half as old as ele , the circus elephant . how old is ele today ? \nOptions: a ) 40 , b ) 48 , c ) 43 , d ) 45 , e ) 41", "output": [ "d" ] }, { "id": "task1420-802a2d87fc734b2390e230f3b1da1a10", "input": "Problem: little roshini had $ 10.50 . he spent some money on sweets and gave to his two friends $ 3.40 each . how much money was spent for sweets ? \nOptions: a ) $ 4.70 , b ) $ 4.80 , c ) $ 3.85 , d ) $ 3.80 , e ) $ 3.70", "output": [ "e" ] }, { "id": "task1420-9d89d618d6cb4c5e8d5e6d44112d236a", "input": "Problem: we bought a total of 80 books at the store . math books cost $ 4 and history books cost $ 5 . the total price was $ 368 . how many math books did we buy ? \nOptions: a ) 28 , b ) 32 , c ) 36 , d ) 40 , e ) 44", "output": [ "b" ] }, { "id": "task1420-1ae7900d0eba471d8041caefaa77d9a1", "input": "Problem: for an agricultural experiment , 300 seeds were planted in one plot and 200 were planted in a second plot . if exactly 15 percent of the seeds in the first plot germinated and exactly 35 percent of the seeds in the second plot germinated , what percent of the total number of seeds germinated ? \nOptions: a ) 12 % , b ) 26 % , c ) 23 % , d ) 30 % , e ) 60 %", "output": [ "c" ] }, { "id": "task1420-50e513eac803454da8891d6579e709f9", "input": "Problem: if ' y ' is a positive integer exactly divisible by 4 or 5 but not divisible by 8 . what could possibly be the value of ' y ' ? \nOptions: a ) 40 , b ) 80 , c ) 20 , d ) 24 , e ) 36", "output": [ "c" ] }, { "id": "task1420-01d2dcb81aaa4396b69b636391834fbe", "input": "Problem: the result when a number subtracted from 150 is the same as the number added to 68 . what is the number ? \nOptions: a ) 110 , b ) 100 , c ) 109 , d ) 218 , e ) 210", "output": [ "c" ] }, { "id": "task1420-fa52647ef4164d5c9ab402bee426a240", "input": "Problem: divide $ 5000 among x , y in the ratio 2 : 8 . how many $ that x get ? \nOptions: a ) $ 1000 , b ) $ 1050 , c ) $ 1100 , d ) $ 1150 , e ) $ 1200", "output": [ "a" ] }, { "id": "task1420-131af67685e343e0b06b7359c6127671", "input": "Problem: a city with a population of 126,160 is to be divided into 7 voting districts , and no district is to have a population that is more than 10 percent greater than the population of any other district . what is the minimum possible population that the least populated district could have ? \nOptions: a ) 16,500 , b ) 16,600 , c ) 16,700 , d ) 16,800 , e ) 16,900", "output": [ "b" ] }, { "id": "task1420-a8e3c5fd863e4f45a02ff86f648cfa90", "input": "Problem: if y > 0 , ( 6 y ) / 20 + ( 3 y ) / 10 is what percent of y ? \nOptions: a ) 40 % , b ) 50 % , c ) 60 % , d ) 70 % , e ) 80 %", "output": [ "c" ] }, { "id": "task1420-5782d7fbc89e498abd80fd0e147fda90", "input": "Problem: in a box of 16 pens , a total of 3 are defective . if a customer buys 2 pens selected at random from the box , what is the probability that neither pen will be defective ? \nOptions: a ) 1 / 6 , b ) 2 / 9 , c ) 6 / 20 , d ) 13 / 20 , e ) 3 / 4", "output": [ "d" ] }, { "id": "task1420-5370696d29e84ed2b04f6c5645fd95e7", "input": "Problem: gopi gives rs . 90 plus one turban as salary to his servant for one year . the servant leaves after 9 months and receives rs . 40 and the turban . find the price of the turban . \nOptions: a ) 27 , b ) 36 , c ) 29 , d ) 10 , e ) 110", "output": [ "e" ] }, { "id": "task1420-8d64a6445ed849519e9648cc4a4ead7f", "input": "Problem: set a contains all the even numbers between 42 and 90 inclusive . set b contains all the even numbers between 62 and 110 inclusive . what is the difference between the sum of elements of set b and the sum of the elements of set a ? \nOptions: a ) 300 , b ) 350 , c ) 400 , d ) 450 , e ) 500", "output": [ "e" ] }, { "id": "task1420-c0482fd735e44f67b9a8821336e4c4f4", "input": "Problem: if a - b = 3 and a ( power 2 ) + b ( power 2 ) = 27 , find the value of ab . \nOptions: a ) 5 , b ) 9 , c ) 4 , d ) 10 , e ) 3", "output": [ "b" ] }, { "id": "task1420-2a5d54cff78a4d53a4763ffd5124a2af", "input": "Problem: a number exceeds by 35 from its 3 / 8 part . then the number is ? \nOptions: a ) a ) 56 , b ) b ) 35 , c ) c ) 39 , d ) d ) 40 , e ) e ) 45", "output": [ "a" ] }, { "id": "task1420-567c047b496842b1b557050a9fb7ff75", "input": "Problem: 0.004 × 0.5 = ? \nOptions: a ) none of these , b ) 0.02 , c ) 0.002 , d ) 0.0002 , e ) 2", "output": [ "c" ] }, { "id": "task1420-10561068b08d4e03b318df5dd4d9339a", "input": "Problem: find large number from below question the difference of two numbers is 1395 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder \nOptions: a ) 1235 , b ) 1345 , c ) 1678 , d ) 1767 , e ) 1671", "output": [ "e" ] }, { "id": "task1420-47c4238398914692ae96ef5a2b11989c", "input": "Problem: angelo and isabella are both salespersons . in any given week , angelo makes $ 590 in base salary plus 8 percent of the portion of his sales above $ 1,000 for that week . isabella makes 10 percent of her total sales for any given week . for what amount of weekly sales would angelo and isabella earn the same amount of money ? \nOptions: a ) 23,500 , b ) 24,500 , c ) 25,500 , d ) 26,500 , e ) 27,500", "output": [ "c" ] }, { "id": "task1420-424f0d631e5e46febe45de6948c8b0de", "input": "Problem: if x + y = 2 x + z , x - 2 y = 4 z and x + y + z = 21 , what is the value of y / z ? \nOptions: a ) - 4.5 . , b ) - 2 . , c ) - 1.7 . , d ) 3 . , e ) 6 .", "output": [ "e" ] }, { "id": "task1420-8de4d57cb9b94cc1aa4499e2fe8c5998", "input": "Problem: the sum of 3 consecutive multiples of 3 is 117 . what is the largest number ? \nOptions: a ) 45 , b ) 48 , c ) 51 , d ) 42 , e ) 54", "output": [ "d" ] }, { "id": "task1420-835afbf1338d472792b51a5e61b6e3cf", "input": "Problem: calculate the share of y , if rs . 2690 is divided among x , y and z in the ratio 5 : 7 : 9 ? \nOptions: a ) 890.7 , b ) 826.7 , c ) 895.7 , d ) 896.7 , e ) 816.7", "output": [ "d" ] }, { "id": "task1420-6104882daf144f46b0d9f04c2f780319", "input": "Problem: average between 2 sets of numbers is closer to the set with more no ' s ? \nOptions: a ) 70 , b ) 80 , c ) 90 , d ) 92 , e ) 94", "output": [ "b" ] }, { "id": "task1420-13e32d974faf4dda819113f187c49860", "input": "Problem: mixture contains alcohol and water in the ratio 4 : 3 . if 7 liters of water is added to the mixture , the ratio becomes 4 : 5 . find the quantity of alcohol in the given mixture . \nOptions: a ) 10 , b ) 99 , c ) 5 , d ) 22 , e ) 29", "output": [ "c" ] }, { "id": "task1420-6d87ec715f924c498e65b0aedc06336a", "input": "Problem: if the sum of the 4 th term and the 12 th term of an arithmetic progression is 16 , what is the sum of the first 15 terms of the progression ? \nOptions: a ) 80 , b ) 100 , c ) 105 , d ) 120 , e ) 110", "output": [ "d" ] }, { "id": "task1420-6c8ede884b21495b8337099fedd55a0f", "input": "Problem: what is the difference between the c . i . on rs . 9000 for 1 1 / 2 years at 4 % per annum compounded yearly and half - yearly ? \nOptions: a ) s . 2.04 , b ) s . 2.08 , c ) s . 3.67 , d ) s . 2.83 , e ) s . 2.42", "output": [ "c" ] }, { "id": "task1420-2eca9336dc7d4a778fb248ac18e1306f", "input": "Problem: the average weight of 8 people increases by 2.5 kg when a new person comes in place of one of them weighing 75 kg . what is the weight of the new person ? \nOptions: a ) 75 kg , b ) 85 kg , c ) 95 kg , d ) 65 kg , e ) 55 kg", "output": [ "c" ] }, { "id": "task1420-e55cbf9138c7444fb8552ac4cb4124e3", "input": "Problem: a person spends 1 / 3 rd of the money with him on clothes , 1 / 5 th of the remaining on food and 1 / 4 th of the remaining on travel . now , he is left with rs 100 . how much did he have with him in the beginning ? \nOptions: a ) rs 200 , b ) rs 250 , c ) rs 300 , d ) rs 450 , e ) rs 550", "output": [ "b" ] }, { "id": "task1420-5ef05ad40c2d45c588b871c0c1cab8d8", "input": "Problem: average of 10 matches is 34 , how many runs one should should score to increase his average by 4 runs . \nOptions: a ) a ) 70 , b ) b ) 76 , c ) c ) 78 , d ) d ) 80 , e ) e ) 88", "output": [ "c" ] }, { "id": "task1420-caf7052dca2846d9b6604ed1a28a4eb3", "input": "Problem: 3 bottles contain equal mixtures of spirit and water in the ratio 6 : 1 , 5 : 2 and 3 : 1 respectively . if all the solutions are mixed together , the ratio of spirit to water in the final mixture will be \nOptions: a ) 64 : 65 , b ) 65 : 64 , c ) 19 : 65 , d ) 65 : 19 , e ) none of these", "output": [ "d" ] }, { "id": "task1420-66ccc1534d2a4890bcee31f62ce3957c", "input": "Problem: 4 athletes , wendy , michelle , brenda , and jamal , scored in a soccer ( football ) game . if michelle scored 1 more goal than brenda did , jamal scored 3 less than wendy did , and wendy scored 3 more than michelle did , how many fewer goals did brenda score than jamal ? \nOptions: a ) - 8 , b ) - 6 , c ) - 2 , d ) - 1 , e ) - 3", "output": [ "d" ] }, { "id": "task1420-a9f55cd1a79942be819fc0866db240f3", "input": "Problem: in a renowned city , the average birth rate is 4 people every two seconds and the death rate is 2 people every two seconds . estimate the size of the population net increase that occurs in one day . \nOptions: a ) 86,400 , b ) 172,800 , c ) 468,830 , d ) 338,200 , e ) 259,200", "output": [ "a" ] }, { "id": "task1420-d4a01af97860481ab236c9cfed1f6a73", "input": "Problem: if a and b are positive real numbers , and a ^ 3 + b ^ 3 = 20 , then the greatest possible value of a is between : \nOptions: a ) 0 and 3 , b ) 3 and 4 , c ) 4 and 5 , d ) 5 and 7 , e ) 7 and 9", "output": [ "a" ] }, { "id": "task1420-1ad926de33aa42258b6e082cd50f5403", "input": "Problem: if 3 x + y = 40 , 2 x - y = 20 , for integers of x and y , 4 y ^ 2 = ? \nOptions: a ) 2 , b ) 4 , c ) 0 , d ) 10 , e ) 64", "output": [ "e" ] }, { "id": "task1420-78302326d59947c2b058bbc264508d4c", "input": "Problem: if n divided by 7 has a remainder of 2 , what is the remainder when 5 times n is divided by 7 ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 5 , e ) 6", "output": [ "c" ] }, { "id": "task1420-42fb98cb34814fc9bdd5da8730d21e62", "input": "Problem: caleb spends $ 64.50 on 50 hamburgers for the marching band . if single burgers cost $ 1.00 each and double burgers cost $ 1.50 each , how many double burgers did he buy ? \nOptions: a ) 29 , b ) 10 , c ) 20 , d ) 40 , e ) 45", "output": [ "a" ] }, { "id": "task1420-50d0a863067744a483bb93f586114d35", "input": "Problem: if f ( x ) = ax ^ 2 – 6 x + ax + 1 , then f ( b ) – f ( - b ) will equal : \nOptions: a ) 0 , b ) - 12 b + 2 ab , c ) 2 ab ^ 4 – 8 b ^ 2 – 6 , d ) - 2 ab ^ 4 + 8 b ^ 2 + 6 , e ) 2 ab ^ 4 – 8 b ^ 2 + 2 ab – 6", "output": [ "b" ] }, { "id": "task1420-116ca2da509946b5a091557c333b899d", "input": "Problem: when jessica withdrew $ 200 from her bank account , her account balance decreased by 2 / 5 . if she deposits an amount equal to 1 / 5 of the remaining balance , what will be the final balance in her bank account ? \nOptions: a ) 300 , b ) 360 , c ) 400 , d ) 500 , e ) 575", "output": [ "b" ] }, { "id": "task1420-000c07eb0501464882fdc7171ad9beb2", "input": "Problem: find the value of 1 / ( 3 + 1 / ( 3 + 1 / ( 3 - 1 / 3 ) ) ) ? \nOptions: a ) 13 / 89 , b ) 15 / 87 , c ) 27 / 89 , d ) 27 / 87 , e ) 89 / 27", "output": [ "c" ] }, { "id": "task1420-2c490e519a1f49bfb47690b78ed8e77d", "input": "Problem: the average age of a group of 10 persons was decreased by 3 years when one person , whose age was 42 years , was replaced by a new person . find the age of the new person ? \nOptions: a ) 22 , b ) 18 , c ) 12 , d ) 88 , e ) 66", "output": [ "c" ] }, { "id": "task1420-cf23228ff8254a9990439b4f8bca7454", "input": "Problem: of the 250 employees at company x , 80 are full - time , and 100 have worked at company x for at least a year . there are 20 employees at company x who aren ’ t full - time and haven ’ t worked at company x for at least a year . how many full - time employees of company x have worked at the company for at least a year ? \nOptions: a ) 20 , b ) 30 , c ) 50 , d ) 80 , e ) 100", "output": [ "e" ] }, { "id": "task1420-8f1be56f6d8c4409b3ed239d2a8cca4b", "input": "Problem: the number of singles that a baseball player hit increased 11 percent from her first season to her second season , and the number of doubles that she hit in the same time period decreased by 1 percent . if the total number of singles and doubles that she hit increased 2 percent from her first season to her second season , what is the ratio of the number of singles she hit in her first season to the number of doubles she hit in her first season ? \nOptions: a ) 1 : 3 , b ) 9 : 11 , c ) 1 : 1 , d ) 2 : 1 , e ) 11 : 3", "output": [ "a" ] }, { "id": "task1420-e4ba5c7eba17416f8740bd438c18c58a", "input": "Problem: if a * b denotes the greatest common divisor of a and b , then ( ( 12 * 15 ) * ( 18 * 24 ) ) = ? \nOptions: a ) 24 , b ) 12 , c ) 6 , d ) 4 , e ) 3", "output": [ "e" ] }, { "id": "task1420-3e039a5fb1db4f9f9dcdd9e414753910", "input": "Problem: in a division , divident is 729 , divisior is 38 and quotient is 19 . find the remainder . \nOptions: a ) a ) 4 , b ) b ) 3 , c ) c ) 2 , d ) d ) 5 , e ) e ) 7", "output": [ "e" ] }, { "id": "task1420-3303f5a7981a422caea2667675c444a5", "input": "Problem: out of 40 applicants to a law school , 15 majored in political science , 20 had a grade point average higher than 3.0 , and 10 did not major in political science and had a gpa equal to or lower than 3.0 . how many t applicants majored in political science and had a gpa higher than 3.0 ? \nOptions: a ) 5 , b ) 10 , c ) 15 , d ) 25 , e ) 35", "output": [ "a" ] }, { "id": "task1420-832f9edf58d840c9933b75b20667beeb", "input": "Problem: workers decided to raise rs . 3 lacs by equal contribution from each . had they contributed rs . 50 eachextra , the contribution would have been rs . 3.60 lacs . how many workers were they ? \nOptions: a ) 220 , b ) 230 , c ) 1200 , d ) 560 , e ) 590", "output": [ "c" ] }, { "id": "task1420-ed1c47e52f754edcbd44709b323bd9fa", "input": "Problem: if 6 pr = 360 and if 6 cr = 15 , find r ? \nOptions: a ) 5 , b ) 6 , c ) 4 , d ) 3 , e ) 2", "output": [ "c" ] }, { "id": "task1420-083fc3040514495e9ce791450f21123a", "input": "Problem: having scored 99 runs in the 19 th inning , a cricketer increases his average score by 4 . what will be his average score after 19 innings ? \nOptions: a ) 28 , b ) 27 , c ) 26 , d ) 22 , e ) 24", "output": [ "b" ] }, { "id": "task1420-63416b3b92ec4742a7fd416930192b98", "input": "Problem: if x ^ 2 + ( 1 / x ^ 2 ) = 8 , x ^ 4 + ( 1 / x ^ 4 ) = ? \nOptions: a ) 10 , b ) 11 , c ) 62 , d ) 14 , e ) 15", "output": [ "c" ] }, { "id": "task1420-5df5e76a9b13497a9e26aa91a2ba046c", "input": "Problem: find large number from below question the difference of two numbers is 750 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder \nOptions: a ) 1345 , b ) 1250 , c ) 897 , d ) 900 , e ) 1635", "output": [ "c" ] }, { "id": "task1420-b75a5cac7f4f42e0a74e025ac7fabc72", "input": "Problem: 1 + 2 = 10 2 + 3 = 26 3 + 4 = 50 then 4 + 5 = ? \nOptions: a ) 80 , b ) 81 , c ) 82 , d ) 83 , e ) 84", "output": [ "c" ] }, { "id": "task1420-36d1cf4eb8894818afc49cebdf5db624", "input": "Problem: in a theater , the first row has 12 seats and each row has 2 more seats than previous row . if the last row has 48 seats , what is the total number of seats in the theater ? \nOptions: a ) 550 , b ) 570 , c ) 590 , d ) 610 , e ) 630", "output": [ "b" ] }, { "id": "task1420-5e6cab6b32fa44ee87fb9c1814db5405", "input": "Problem: in n is a positive integer less than 200 , and 18 n / 60 is an integer , then n has how many different positive prime factors ? \nOptions: a ) 2 , b ) 3 , c ) 5 , d ) 6 , e ) 8", "output": [ "a" ] }, { "id": "task1420-a9f458bff1d549dca43e461e713c06a8", "input": "Problem: what is the total cost of 2 sandwiches at $ 3.49 each and 4 sodas at $ 0.87 each ? \nOptions: a ) $ 3.36 , b ) $ 6.85 , c ) $ 8.46 , d ) $ 10.46 , e ) $ 11.85", "output": [ "d" ] }, { "id": "task1420-64c8cee3c27b427f9c4035a25a111f1c", "input": "Problem: half a number plus 7 is 11 . what is the number ? \nOptions: a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 12", "output": [ "a" ] }, { "id": "task1420-9ba06f468b4c488a8e59cee0d17a0693", "input": "Problem: you collect baseball cards . suppose you start out with 17 . maria takes half of one more than the number of baseball cards you have . since you ' re nice , you give peter 1 baseball card . since his father makes baseball cards , paul decides to triple your baseball cards . how many baseball cards do you have at the end ? \nOptions: a ) 17 , b ) 18 , c ) 19 , d ) 20 , e ) 21", "output": [ "e" ] }, { "id": "task1420-ae1edac0b33447c0a30f78952fa5e385", "input": "Problem: for the positive integers x , x + 2 , x + 4 , x + 7 , and x + 17 , the mean is how much greater than the median ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 4 , e ) 7", "output": [ "c" ] }, { "id": "task1420-371b5f38ef7c48f5816886dce38fe46d", "input": "Problem: if p represents the product of the first 14 positive integers , then p is not a multiple of : \nOptions: a ) a ) 99 , b ) b ) 84 , c ) c ) 51 , d ) d ) 65 , e ) e ) 57", "output": [ "c" ] }, { "id": "task1420-701a7c60429e4690be9028f73298ad4c", "input": "Problem: how many kg of pure salt must be added to 100 kg of 10 % solution of salt and water to increase it to a 35 % solution ? \nOptions: a ) a ) 6.7 , b ) b ) 38.5 , c ) c ) 9.6 , d ) d ) 12.5 , e ) e ) 7.9", "output": [ "b" ] }, { "id": "task1420-4105bb8a91fa4ff18651342bc43455d1", "input": "Problem: if a randomly selected non - negative single digit integer is added to { 2 , 3 , 6 , 8 } . what is the probability that the median of the set will increase but the range still remains the same ? \nOptions: a ) 0.2 , b ) 0.3 , c ) 0.4 , d ) 0.5 , e ) 0.6", "output": [ "c" ] }, { "id": "task1420-702953920bc642938fd0099eb9151309", "input": "Problem: a computer manufacturer produces a certain electronic component at a cost of $ 80 per component . shipping costs for delivering the components are $ 3 per unit . further , the manufacturer has costs of $ 16,500 a month related to the electronic component regardless of how many it produces . if the manufacturer produces and sells 150 components a month , what is the lowest price it can sell them for such that the costs do n ' t exceed the revenues ? \nOptions: a ) $ 28 , b ) $ 82 , c ) $ 110 , d ) $ 138 , e ) $ 193", "output": [ "e" ] }, { "id": "task1420-a989c97eee004a4eb81eb483e3bcf6dc", "input": "Problem: if 20 liters of chemical x are added to 80 liters of a mixture that is 15 % chemical x and 85 % chemical y , then what percentage of the resulting mixture is chemical x ? \nOptions: a ) 30 % , b ) 32 % , c ) 35 % , d ) 38 % , e ) 40 %", "output": [ "b" ] }, { "id": "task1420-3cf429af31a3430e90b972314f38c7a8", "input": "Problem: an employee ’ s annual salary was increased $ 25,000 . if her new annual salary now equals $ 90,000 , what was the percent increase ? \nOptions: a ) 15 % , b ) 162 ⁄ 3 % , c ) 20 % , d ) 38.46 % , e ) 24 %", "output": [ "d" ] }, { "id": "task1420-051dbb81bd04428b88b67cf9d3c70fbe", "input": "Problem: a trained covered x km at 70 kmph and another 2 x km at 20 kmph . find the average speed of the train in covering the entire 3 x km . \nOptions: a ) 22.25 , b ) 99 , c ) 26.25 , d ) 66 , e ) 887", "output": [ "c" ] }, { "id": "task1420-f1d6f8bc9fe3457c816f82b1bee1cafb", "input": "Problem: the mean of 50 observations was 36 . it was found later that an observation 47 was wrongly taken as 23 . the corrected new mean is \nOptions: a ) 35.24 , b ) 36.16 , c ) 36.22 , d ) 36.48 , e ) none", "output": [ "d" ] }, { "id": "task1420-4633565eb52943f5a2ecaa9a17b22d49", "input": "Problem: if x and y are positive integers and 12 x = 21 y what is the least possible value of xy ? \nOptions: a ) 9 , b ) 28 , c ) 63 , d ) 84 , e ) 252", "output": [ "a" ] }, { "id": "task1420-6772ed9ae6c3405bac16fc016182d04d", "input": "Problem: how many multiples of 4 are there between 12 and 92 , inclusive ? \nOptions: a ) 21 , b ) 22 , c ) 23 , d ) 24 , e ) 25", "output": [ "a" ] }, { "id": "task1420-a6d23492ec0648d1b5a102700fdf88e6", "input": "Problem: 4 liters of a 20 percent solution of alcohol in water are mixed with 5 liters of a 10 percent alcohol in water solution . what is the percentage of alcohol in the new solution ? \nOptions: a ) 14.4 % , b ) 14.8 % , c ) 15.2 % , d ) 15.6 % , e ) 16.0 %", "output": [ "a" ] }, { "id": "task1420-71a0064c169c43fd9b92802ac2d1d582", "input": "Problem: a sum of money lent out at s . i . amounts to a total of $ 590 after 2 years and to $ 815 after a further period of 5 years . what was the initial sum of money that was invested ? \nOptions: a ) $ 490 , b ) $ 500 , c ) $ 510 , d ) $ 520 , e ) $ 530", "output": [ "b" ] }, { "id": "task1420-e376d4822d964916b12dd98c50f5df67", "input": "Problem: what is the unit digit of 3 ^ 58 ? \nOptions: a ) 0 , b ) 5 , c ) 7 , d ) 1 , e ) 9", "output": [ "e" ] }, { "id": "task1420-a8d2b00bdc324047b97a4a0f44e8dc54", "input": "Problem: a group of 55 adults and 70 children go for trekking . if there is meal for either 70 adults or 90 children and if 35 adults have their meal , find the total number of children that can be catered with the remaining food . \nOptions: a ) 33 , b ) 54 , c ) 18 , d ) 45 , e ) 01", "output": [ "d" ] }, { "id": "task1420-609a2425691c41e88e16edd06b22ea04", "input": "Problem: 0.0006688 / 0.0000150 x 19.85 = ? \nOptions: a ) 850 , b ) 900 , c ) 950 , d ) 1000 , e ) 2000", "output": [ "b" ] }, { "id": "task1420-cc56b64248d74f9b8220928ff6d67a03", "input": "Problem: a tightrope approximately 320 m long is suspended between two poles . during a performance , a break occurs in the line . assume that the line has an equal chance of breaking anywhere along its length . what is the probability that the break happened in the first 50 meters of the rope ? \nOptions: a ) 27 / 32 , b ) 1 / 2 , c ) 5 / 32 , d ) 5 / 27 , e ) . 2 / 3", "output": [ "c" ] }, { "id": "task1420-3935398036024333a60e733c1af027cf", "input": "Problem: find the least number of complete years in which a sum of money put out at 15 % compound interest will be more than double of itself ? \nOptions: a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 9", "output": [ "a" ] }, { "id": "task1420-0381a930a8554f26a1cd4a4ad830b6b4", "input": "Problem: average of money that group of 4 friends pay for rent each month is $ 800 . after one persons rent is increased by 20 % the new mean is $ 880 . what was original rent of friend whose rent is increased ? \nOptions: a ) 800 , b ) 900 , c ) 1600 , d ) 1100 , e ) 1200", "output": [ "c" ] }, { "id": "task1420-2e28c2c4941f41318416b3b47b493672", "input": "Problem: what is the smallest number which when diminished by 16 , is divisible 4 , 6 , 8 and 10 ? \nOptions: a ) 136 , b ) 192 , c ) 198 , d ) 122 , e ) 142", "output": [ "a" ] }, { "id": "task1420-4dd95b6d47dd42c79484306977d427ed", "input": "Problem: if 6 < x < 10 < y < 17 , then what is the greatest possible positive integer difference of x and y ? \nOptions: a ) 3 , b ) 4 , c ) 10 , d ) 6 , e ) 7", "output": [ "c" ] }, { "id": "task1420-8e4ca60f097d4986938b12b16a1add64", "input": "Problem: the difference of two numbers is 11 and one fifth of their sum is 9 . the numbers are : \nOptions: a ) 31 , 20 , b ) 30 , 19 , c ) 29 , 18 , d ) 28 , 17 , e ) none", "output": [ "d" ] }, { "id": "task1420-609025bc9e0848a1bde5932424c12d78", "input": "Problem: if ( 5 ^ 9 ) ( 9 ^ 5 ) = 3 ( 15 ^ x ) , what is the value of x ? \nOptions: a ) 7 , b ) 9 , c ) 11 , d ) 13 , e ) 15", "output": [ "b" ] }, { "id": "task1420-22b3157428924286be5d7f823e2f29a0", "input": "Problem: in x game of billiards , x can give y 20 points in 60 and he can give z 30 points in 60 . how many points can y give z in x game of 120 ? \nOptions: a ) 30 , b ) 20 , c ) 25 , d ) 40 , e ) 50", "output": [ "a" ] }, { "id": "task1420-695e5cb1248d4e308cb2361e5439a2f2", "input": "Problem: a no . when divided by 225 gives a remainder 43 , what remainder will beobtained by dividingthe same no . 17 ? \nOptions: a ) 2 , b ) 7 , c ) 9 , d ) 11 , e ) 13", "output": [ "e" ] }, { "id": "task1420-ad87d0a156e142a69ed4f37a90b466a8", "input": "Problem: given that 100.48 = x , 100.70 = y and xz = y ² , then the value of z is close to \nOptions: a ) 1.2 , b ) 1.45 , c ) 2.2 , d ) 2.9 , e ) none", "output": [ "d" ] }, { "id": "task1420-f31c562d85784e49bc6f2c659d681e6c", "input": "Problem: in a river flowing at 2 km / hr , a boat travels 40 km upstream and then returns downstream to the starting point . if its speed in still water be 6 km / hr , find the total journey time . \nOptions: a ) 10 hours , b ) 12 hours , c ) 14 hours , d ) 15 hours , e ) none of these", "output": [ "d" ] }, { "id": "task1420-9a637268970e47a99fca9eb1e9b3087c", "input": "Problem: a furniture store owner decided to drop the price of her recliners by 20 % to spur business . by the end of the week she had sold 80 % more recliners . what is the percentage increase of the gross ? \nOptions: a ) 10 % , b ) 15 % , c ) 20 % , d ) 25 % , e ) 44 %", "output": [ "e" ] }, { "id": "task1420-9057057e0d964b58bf88310d2a3356af", "input": "Problem: a box contains either blue or red flags . the total number of flags in the box is an even number . a group of children are asked to pick up two flags each . if all the flags are used up in the process such that 60 % of the children have blue flags , and 50 % have red flags , what percentage of children have flags of both the colors ? \nOptions: a ) 5 % , b ) 10 % , c ) 15 % , d ) 20 % , e ) it can not be determined", "output": [ "b" ] }, { "id": "task1420-27f2293ba53b43b1ad00a21400461bc6", "input": "Problem: there are 200 female managers in a certain company . find the total number y of female employees in the company , if 2 / 5 of all the employees are managers and 2 / 5 of all male employees are managers . \nOptions: a ) 300 , b ) y = 400 , c ) y = 500 , d ) y = 600 , e ) none of these", "output": [ "c" ] }, { "id": "task1420-6042b8ed167b4b2d9468d4e7289584ed", "input": "Problem: arjun started a business with rs . 20000 and is joined afterwards by anoop with rs . 4000 . after how many months did anoop join if the profits at the end of the year are divided equally ? \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "d" ] }, { "id": "task1420-70a95b69b0bc4165bca2138a3957a9b8", "input": "Problem: mr . kramer , the losing candidate in a two - candidate election , received 942,568 votes , which was exactly 25 percent of all votes cast . approximately what percent of the remaining votes would he need to have received in order to have won at least 50 percent of all the votes cast ? \nOptions: a ) 10 % , b ) 12 % , c ) 15 % , d ) 17 % , e ) 33 %", "output": [ "e" ] }, { "id": "task1420-ddb13396ad554f88b44f0225708a6330", "input": "Problem: the lowest number which should be added to 11390 so that the sum is exactly divisible by 7 , 9 , 10 and 12 is : \nOptions: a ) 1010 , b ) 2210 , c ) 1250 , d ) 1210 , e ) 1110", "output": [ "d" ] }, { "id": "task1420-846f454d16854023949642be803716ef", "input": "Problem: a small pool filled only with water will require an additional 300 gallons of water in order to be filled to 70 % of its capacity . if pumping in these additional 300 gallons of water will increase the amount of water in the pool by 30 % , what is the total capacity of the pool in gallons ? \nOptions: a ) 1000 , b ) 1250 , c ) 1300 , d ) 1600 , e ) 1857.14", "output": [ "e" ] }, { "id": "task1420-956c81f7bd03421dbe2623ca6b860ec2", "input": "Problem: find the minimum value of 5 cosa + 12 sina + 12 \nOptions: a ) - 1 , b ) 1 , c ) 2 , d ) 3 , e ) none of these", "output": [ "a" ] }, { "id": "task1420-7d196269965340bea5e30b247f6e42ce", "input": "Problem: in 1996 , the property tax of a community is increased by 6 % over the 1995 tax . an additional surcharge of $ 200 is also added for a special project . if the petersons ' 1996 tax totals $ 2108 , find their property tax for the year 1995 \nOptions: a ) 1600 , b ) 1800 , c ) 1900 , d ) 2000 , e ) 2500", "output": [ "b" ] }, { "id": "task1420-982be6c082f5451b87ad9e45206b9b2d", "input": "Problem: 7 chess players take part in a tournament . every player plays twice with each of his opponents . how many games are to be played ? \nOptions: a ) 40 , b ) 48 , c ) 45 , d ) 42 , e ) 22", "output": [ "d" ] }, { "id": "task1420-20dc273e81794110a20e3abf8dfa2848", "input": "Problem: if 10 ! - 2 * ( 5 ! ) ^ 2 is divisible by 10 ^ n , what is the greatest value of n ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "e" ] }, { "id": "task1420-e5d22957a5a94b28a00b1b07e3bd3d7c", "input": "Problem: find large number from below question the difference of two numbers is 1365 . on dividing the larger number by the smaller , we get 4 as quotient and the 15 as remainder \nOptions: a ) 1235 , b ) 1346 , c ) 1378 , d ) 1635 , e ) 1815", "output": [ "e" ] }, { "id": "task1420-e1be6949dac64a0388084a4a17e72fc8", "input": "Problem: if the average ( arithmetic mean ) of 102 consecutive odd integers is 414 , then the least of these integers is \nOptions: a ) a ) 160 , b ) b ) 289 , c ) c ) 250 , d ) d ) 313 , e ) e ) 525", "output": [ "d" ] }, { "id": "task1420-ad1bb8fe22334062b8971cb2a60b7f83", "input": "Problem: a vendor sells 30 percent of the apples he had and throws away 20 percent of the remainder . the next day , the vendor sells 50 percent of the remaining apples and throws away the rest . in total , what percent of his apples does the vendor throw away ? \nOptions: a ) 40 , b ) 42 , c ) 44 , d ) 46 , e ) 48", "output": [ "b" ] }, { "id": "task1420-5c252455a5db459d9e28e40b27b1ec24", "input": "Problem: how many integer values t are there for x such that 1 < 3 x + 5 < 17 ? \nOptions: a ) two , b ) three , c ) four , d ) five , e ) six", "output": [ "d" ] }, { "id": "task1420-46ad22b86f604e6ab357891b4b4671c6", "input": "Problem: cindy has her eye on a sundress but thinks it is too expensive . it goes on sale for 15 % less than the original price . before cindy can buy the dress , however , the store raises the new price by 25 % . if the dress cost $ 78.2 after it went on sale for 15 % off , what is the difference between the original price and the final price ? \nOptions: a ) $ 0.00 , b ) $ 5.75 , c ) $ 3.40 , d ) $ 5.00 , e ) $ 6.80", "output": [ "b" ] }, { "id": "task1420-4b7024d05ec4425e9da9ade2389ed5bc", "input": "Problem: what is the minimum percentage increase in the mean of set s { - 4 , - 1 , 0 , 6 , 9 } if its two smallest elements are replaced with two different primes ? \nOptions: a ) 25 % , b ) 50 % , c ) 75 % , d ) 100 % , e ) 200 %", "output": [ "d" ] }, { "id": "task1420-0298929c091f4dc4928c5cd589fe940a", "input": "Problem: if the average ( arithmetic mean ) of a and b is 80 , and the average of b and c is 180 , what is the value of a − c ? \nOptions: a ) − 220 , b ) − 200 , c ) 100 , d ) 135 , e ) it can not be determined from the information given", "output": [ "b" ] }, { "id": "task1420-46998f0e86504402a3d7149d8d106382", "input": "Problem: the cost of registration at a professional association meeting was $ 50 per person ; a lunch for registrants only was available for an additional $ 22 per person . if the number of registrants who paid for lunch was 40 more than the number who did not , and if receipts for registration and lunch totaled $ 39,480 , how many people paid just for registration at the meeting ? \nOptions: a ) 700 , b ) 800 , c ) 300 , d ) 1,500 , e ) 1,800", "output": [ "c" ] }, { "id": "task1420-d04beca96faa45bfba4f5cf15e95de93", "input": "Problem: in the biology lab of ` ` jefferson ' ' high school there are 0.036 * 10 ^ 5 germs , equally divided among 36000 * 10 ^ ( - 3 ) petri dishes . how many germs live happily in a single dish ? \nOptions: a ) 100 , b ) 200 , c ) 300 , d ) 400 , e ) 500", "output": [ "a" ] }, { "id": "task1420-38bc4c0bbffd47c98404932714947a99", "input": "Problem: 2 cow ’ s and 8 goats are brought for rs . 1400 . if the average price of a goat be rs . 60 . what is the average price of a cow . \nOptions: a ) rs . 480 , b ) rs . 960 , c ) rs . 960 , d ) rs . 460 , e ) rs . 560", "output": [ "d" ] }, { "id": "task1420-d977a3ad4a6e4adeb37e9fd57abe29d8", "input": "Problem: a textile manufacturing firm employees 56 looms . it makes fabrics for a branded company . the aggregate sales value of the output of the 56 looms is rs 5 , 00,000 and the monthly manufacturing expenses is rs 1 , 50,000 . assume that each loom contributes equally to the sales and manufacturing expenses are evenly spread over the number of looms . monthly establishment charges are rs 75000 . if one loom breaks down and remains idle for one month , the decrease in profit is : \nOptions: a ) 13000 , b ) 6250 , c ) 10000 , d ) 5000 , e ) none of these", "output": [ "b" ] }, { "id": "task1420-ea184edf79554b479653a8864dd06759", "input": "Problem: a fruit drink is made of orange , watermelon , and grape juice , where 25 percent of the drink is orange juice and 40 percent is watermelon juice . if the drink is made with 70 ounces of grape juice , how many ounces is the drink total ? \nOptions: a ) 125 , b ) 160 , c ) 200 , d ) 250 , e ) 320", "output": [ "c" ] }, { "id": "task1420-0c8266ade2ba4611abe8c449ba72c5ac", "input": "Problem: the average monthly income of p and q is rs . 5050 . the average monthly income of q and r is rs . 6250 and the average monthly income of p and r is rs . 5200 . the monthly income of p is : \nOptions: a ) 4050 , b ) 3500 , c ) 4000 , d ) 4500 , e ) 5000", "output": [ "c" ] }, { "id": "task1420-14915985bbff421ba1b7501a2ace29f5", "input": "Problem: a profit of rs . 900 is divided between x and y in the ratio of 1 / 2 : 1 / 3 . what is the difference between their profit shares ? \nOptions: a ) s . 280 , b ) s . 180 , c ) s . 380 , d ) s . 50 , e ) s . 90", "output": [ "b" ] }, { "id": "task1420-40b565af6e2445c79d3f4979566545fa", "input": "Problem: if a mixture is 1 ⁄ 7 alcohol by volume and 2 ⁄ 7 water by volume , what is the ratio of the volume of alcohol to the volume of water in this mixture ? \nOptions: a ) 4 / 2 , b ) 3 / 2 , c ) 1 / 2 , d ) 5 / 2 , e ) 7 / 2", "output": [ "c" ] }, { "id": "task1420-2a6eee78d88f4685893b2b796d2d23ff", "input": "Problem: the average age of 15 students of a class is 15 years . out of these , the average age of 3 students is 14 years and that of the other 11 students is 16 years . the age of the 15 th student is \nOptions: a ) 9 years , b ) 11 years , c ) 14 years , d ) 7 years , e ) 25 years", "output": [ "d" ] }, { "id": "task1420-7fa43c32bf9a444d8ced325414cdac93", "input": "Problem: what is the minimum value of | x - 4 | + | x + 8 | + | x - 5 | ? \nOptions: a ) - 13 , b ) 13 , c ) 5 , d ) 7 , e ) 8", "output": [ "b" ] }, { "id": "task1420-3eed2445d9114afc9aa6df01a7d8aa84", "input": "Problem: if x is the sum of first 100 positive even integers and y is the sum of first 100 positive odd integers , what is the value of x - y ? please try to explain your answers \nOptions: a ) 0 , b ) 25 , c ) 50 , d ) 75 , e ) 100", "output": [ "e" ] }, { "id": "task1420-6c018fe5665f404692156fae680bd8fc", "input": "Problem: find the principle on a certain sum of money at 6 % per annum for 2 2 / 5 years if the amount being rs . 1120 ? \nOptions: a ) 979 , b ) 1288 , c ) 2778 , d ) 2682 , e ) 1021", "output": [ "a" ] }, { "id": "task1420-027cbe96dcdf40d2b81f0235e311aca5", "input": "Problem: the difference between the value of a number increased by 25 % and the value of the original number decreased by 30 % is 22 . what is the original number ? \nOptions: a ) 40 , b ) 50 , c ) 65 , d ) 70 , e ) 90", "output": [ "a" ] }, { "id": "task1420-4da89671bc7e451abf51ddcddadfd22b", "input": "Problem: if p ( a ) = 2 / 15 , p ( b ) = 4 / 15 , and p ( a â ˆ ª b ) = 11 / 15 find p ( a | b ) \nOptions: a ) 11 / 4 , b ) 2 / 3 , c ) 3 / 2 , d ) 4 / 5 , e ) 4 / 7", "output": [ "a" ] }, { "id": "task1420-df649543ea3b47058a5e7f8da56bb219", "input": "Problem: 8 x 1.6 - 3 x 1.4 / 1.3 = ? \nOptions: a ) 21.5 , b ) 22 , c ) 15.8 , d ) 12.8 , e ) 25", "output": [ "a" ] }, { "id": "task1420-b9411a76d53d4a5da990f775db2a7031", "input": "Problem: if x and y are positive integers and 25 x = 10 y what is the least possible value of xy ? \nOptions: a ) 14 , b ) 25 , c ) 63 , d ) 84 , e ) 252", "output": [ "b" ] }, { "id": "task1420-314ccef8b6b44c83912a8d14f29abc1b", "input": "Problem: if 5 ^ 29 * 4 ^ 15 = 2 * 10 ^ n , what is the value of n ? \nOptions: a ) 11 , b ) 21 , c ) 22 , d ) 29 , e ) 32", "output": [ "d" ] }, { "id": "task1420-0038802343c34f5d9152359cf427d792", "input": "Problem: at company x , senior sales representatives visit the home office once every 15 days , and junior sales representatives visit the home office once every 10 days . the number of visits that a junior sales representative makes in a 2 - year period is approximately what percent greater than the number of visits that a senior representative makes in the same period ? \nOptions: a ) 10 % , b ) 25 % , c ) 33 % , d ) 50 % , e ) 67 %", "output": [ "d" ] }, { "id": "task1420-91f1f5b92c004716a5756803599f4269", "input": "Problem: the average runs scored by a batsman in 20 matches is 40 . in the next 10 matches the batsman scored an average of 20 runs . find his average in all the 30 matches ? \nOptions: a ) 31 , b ) 46 , c ) 88 , d ) 33.33 , e ) 12", "output": [ "d" ] }, { "id": "task1420-8f4f9cd2312a41fe93498ba09a52993d", "input": "Problem: if a person walks at 20 km / hr instead of 10 km / hr , he would have walked 20 km more . the actual distance traveled by him is : \nOptions: a ) 20 km , b ) 56 km , c ) 60 km , d ) 70 km , e ) 80 km", "output": [ "a" ] }, { "id": "task1420-5cf6a65f2abb4c419727d273a9d9ea2c", "input": "Problem: if 2 ^ y = 4 ^ ( 5 x + 3 ) and 3 ^ ( x - 7 ) = 9 ^ y , what is the value of x + y ? \nOptions: a ) - 10 , b ) - 5 , c ) - 4 , d ) 3 , e ) 7", "output": [ "b" ] }, { "id": "task1420-03214c7133fb44cb851f7b8541822fd7", "input": "Problem: 36 is divided in 2 parts such that 8 times the first part added to 3 times the second part makes 203 . what is the first part ? \nOptions: a ) 19 , b ) 88 , c ) 267 , d ) 26 , e ) 28", "output": [ "a" ] }, { "id": "task1420-4ba3e6b274ef48fd8a0587c6031cb558", "input": "Problem: a collection of books went on sale , and 2 / 3 of them were sold for $ 1.50 each . if none of the 36 remaining books were sold , what was the total amount received for the books that were sold ? \nOptions: a ) $ 180 , b ) $ 135 , c ) $ 108 , d ) $ 60 , e ) $ 54", "output": [ "c" ] }, { "id": "task1420-ef212814cdfb4497b40e3e3595c4be98", "input": "Problem: the average weight of 29 students is 28 kg . by the admission of a new student , the average weight is reduced to 27.4 kg . the weight of the new student is \nOptions: a ) 22 kg , b ) 21.6 kg , c ) 22.4 kg , d ) 10 kg , e ) none of these", "output": [ "d" ] }, { "id": "task1420-38217695e3614e4a8fa01c7621128557", "input": "Problem: all the students of class are told to sit in circle shape . here the boy at the 5 th position is exactly opposite to 20 th boy . total number of boys in the class ? \nOptions: a ) 30 , b ) 40 , c ) 45 , d ) 25 , e ) 20", "output": [ "a" ] }, { "id": "task1420-7bd1fe41eb664b1383e76092344066c7", "input": "Problem: in a class of students , 2 / 3 of the number of girls is equal to 1 / 4 of the total number of students . what is the ratio of boys to girls in the class ? \nOptions: a ) 1 / 3 , b ) 2 / 3 , c ) 4 / 3 , d ) 5 / 3 , e ) 7 / 3", "output": [ "d" ] }, { "id": "task1420-029353a157d842debdd1314001d39ca7", "input": "Problem: one - tenth of the students at a nursery school are 4 years old or older . if 20 students have not yet reached their third birthday , and a total of 25 students are not between 3 years old and 4 years old , how many children are in the nursery school ? \nOptions: a ) 51 , b ) 20 , c ) 40 , d ) 50 , e ) 55", "output": [ "d" ] }, { "id": "task1420-fc397715f3fc49a294930a6a00418039", "input": "Problem: when a certain tree was first planted , it was 4 feet tall , and the height of the tree increased by a constant amount each year for the next 6 years . at the end of the 6 th year , the tree was 1 / 6 taller than it was at the end of the 4 th year . by how many feet did the height of the tree increase each year ? \nOptions: a ) 3 / 10 , b ) 2 / 5 , c ) 1 / 2 , d ) 2 / 3 , e ) 6 / 5", "output": [ "c" ] }, { "id": "task1420-acb0baa981b04656b5a8b8af14050af2", "input": "Problem: if 2 x - y = 4 then 6 x - 3 y = ? \nOptions: a ) 15 , b ) 12 , c ) 18 , d ) 10 , e ) 14", "output": [ "b" ] }, { "id": "task1420-0096b325701448eb86a95a007f57761a", "input": "Problem: 5 men are equal to as many women as are equal to 8 boys . all of them earn rs . 75 only . men â € ™ s wages are ? \nOptions: a ) 6 rs , b ) 7 rs , c ) 8 rs , d ) 5 rs , e ) 1 rs", "output": [ "d" ] }, { "id": "task1420-a6d9776f00da462d8d54705a5a0cc4e6", "input": "Problem: a box has exactly 100 balls , and each ball is either red , blue , or white . if the box has 5 more blue balls than white balls , and thrice as many red balls as blue balls , how many white balls does the box has ? \nOptions: a ) 8 , b ) 10 , c ) 12 , d ) 14 , e ) 16", "output": [ "e" ] }, { "id": "task1420-671160a95b844d90bb818ab2326429dd", "input": "Problem: what is the value of 10 ^ 7 - 6 ^ 5 ? \nOptions: a ) 99 , 91,223 , b ) 99 , 92,224 , c ) 99 , 94,265 , d ) 99 , 95,300 , e ) 99 , 96,307", "output": [ "b" ] }, { "id": "task1420-5dc3907c54bc405686fa7af209600583", "input": "Problem: a manufacturer produces a certain men ' s athletic shoe in integer sizes from 8 to 17 . for this particular shoe , each unit increase in size corresponds to a 1 / 4 - inch increase in the length of the shoe . if the largest size of this shoe is 10 % longer than the smallest size , how long , in inches , is the shoe in size 15 ? \nOptions: a ) 18.25 , b ) 20.75 , c ) 22.25 , d ) 24.25 , e ) 26.75", "output": [ "d" ] }, { "id": "task1420-a3e431848c2b408fa6b9ff7306a0bc35", "input": "Problem: a number when divided by 45 , gives 30 as quotient and 0 as remainder . what will be the remainder when dividing the same number by 15 \nOptions: a ) a ) 0 , b ) b ) 3 , c ) c ) 4 , d ) d ) 6 , e ) e ) 7", "output": [ "a" ] }, { "id": "task1420-3b4def2a5dbe40f880bf677c5d711d10", "input": "Problem: a club wants to mix 20 pounds of candy worth $ 8.00 per pound with candy worth $ 5.00 per pound to reduce the cost of the mixture to $ 6.00 per pound . how many pounds of the $ 5.00 per pound candy should be used ? \nOptions: a ) 20 , b ) 30 , c ) 40 , d ) 50 , e ) 60", "output": [ "c" ] }, { "id": "task1420-b883f30af8294edfa239bd6c6dcd550e", "input": "Problem: a school has 4 section of chemistry in class x having 55 , 35 , 45 and 42 students . the mean marks obtained in chemistry test are 50 , 60 , 55 and 45 respectively for the 4 sections . determine the overall average of marks per student . \nOptions: a ) 50.15 , b ) 52.06 , c ) 51.25 , d ) 53.06 , e ) none of the above", "output": [ "b" ] }, { "id": "task1420-7978439540ae4a3dbe53b62cdb083dbe", "input": "Problem: in a class there are a total of 8 rows of desks and each desk can seat one student . there are 10 desks in the first row . in each subsequent row there are 2 more desks than in the previous row . find the maximum number of students seated in the class ? \nOptions: a ) 112 , b ) 144 , c ) 136 , d ) 132 , e ) 118", "output": [ "c" ] }, { "id": "task1420-06462ebd6b8a48069201651caed75f85", "input": "Problem: how many alphabets need to be there in a language if one were to make 1 million distinct 3 digit initials using the alphabets of the language ? \nOptions: a ) 321 , b ) 65 , c ) 120 , d ) 100 , e ) 80", "output": [ "d" ] }, { "id": "task1420-40ca9ae1a337411c8338ed7634c194be", "input": "Problem: if w / x = 5 / 7 and w / y = 4 / 7 , then ( x + y ) / y = \nOptions: a ) 1 / 2 , b ) 7 / 3 , c ) 6 / 7 , d ) 1 / 5 , e ) 11 / 13", "output": [ "b" ] }, { "id": "task1420-982cba89b6df490f860f2b9faf8c3002", "input": "Problem: the number of the members of a club is more than 10 and less than 40 . when 3 people sit at a table , other people exactly divided to 6 - people groups ( 6 people sit at a table ) or 5 - people groups ( 5 people sit at a table ) . if the members are divided to 7 - people groups , how many people will be left ? \nOptions: a ) 0 . , b ) 1 . , c ) 2 . , d ) 4 . , e ) 5 .", "output": [ "e" ] }, { "id": "task1420-9dd49f7099824ea98fc887f61a6dd952", "input": "Problem: the jogging track in a sports complex is 726 m in circumference . suresh and his wife start from the same point and walk in opposite direction at 4.5 km / hr and 3.75 km / hr respectively . they will meet for the first time in : \nOptions: a ) 5.5 min . , b ) 6 min . , c ) 4.9 min . , d ) 5.28 min . , e ) 5 min .", "output": [ "d" ] }, { "id": "task1420-6087c72d476f46168f7f05702658d9ba", "input": "Problem: a man whose bowling average is 12.4 , takes 5 wickets for 26 runs and there by decreases his average by 0.4 . the number of wickets taken by him before his last match is ? \nOptions: a ) 82 , b ) 83 , c ) 84 , d ) 85 , e ) 86", "output": [ "d" ] }, { "id": "task1420-46ecd2fbbd4148b0b9d8e7b1b5575109", "input": "Problem: if ( 1 – 1.5 ) n = 1 , then n = \nOptions: a ) − 400 , b ) − 140 , c ) − 2 , d ) 4 , e ) 400", "output": [ "c" ] }, { "id": "task1420-9abea5e3846643a4bf58a2913806bceb", "input": "Problem: the average marks of 30 students in a class is 60 . but a student mark is wrongly noted as 90 instead of 15 then find the correct average marks ? \nOptions: a ) 55.65 , b ) 57.5 , c ) 62.5 , d ) 45.25 , e ) 50", "output": [ "b" ] }, { "id": "task1420-f4470ae773b6467e8a5d901b8cf86e94", "input": "Problem: the distance from the x - axis to point p is half the distance from the y - axis to point p . if the coordinates of p are ( x , - 8 ) , how many units is p from the y - axis ? \nOptions: a ) 20 , b ) 16 , c ) 8 , d ) 4 , e ) 2", "output": [ "b" ] }, { "id": "task1420-b1a706f456df4ed095473e34fc28a2f5", "input": "Problem: two employees x and y are paid a total of rs . 750 per week by their employer . if x is paid 120 percent of the sum paid to y , how much is y paid per week ? \nOptions: a ) s . 200.90 , b ) s . 250.90 , c ) s . 290.90 , d ) s . 300.90 , e ) s . 340.90", "output": [ "e" ] }, { "id": "task1420-9ce181e937af4a2281ef76dece42cd7c", "input": "Problem: how many times digit 5 is used while writing numbers from 100 to 1000 ? \nOptions: a ) 648 , b ) 300 , c ) 252 , d ) 225 , e ) 290", "output": [ "e" ] }, { "id": "task1420-75579fe56cfa4d48b73536e560e59fd5", "input": "Problem: the wages earned by robin is 44 % more than that earned by erica . the wages earned by charles is 60 % more than that earned by erica . how much % is the wages earned by charles more than that earned by robin ? \nOptions: a ) 23 % , b ) 18.75 % , c ) 30 % , d ) 30.55 % , e ) 100 %", "output": [ "d" ] }, { "id": "task1420-d73945ac2bae47189d45d33ff5fab5fa", "input": "Problem: a certain manufacturer produces items for which the production costs consist of annual fixed costs totaling $ 130,000 and variables costs averaging $ 10 per item . if the manufacturer ’ s selling price per item is $ 15 , how many items the manufacturer produce and sell to earn an annual profit of $ 150,000 ? \nOptions: a ) 2,858 , b ) 18,667 , c ) 21,429 , d ) 35,000 , e ) 56,000", "output": [ "e" ] }, { "id": "task1420-93ce52d1f59f40b8bd02a1a0fae814cc", "input": "Problem: a batsman makes a score of 87 runs in the 17 th inning and thus increases his averages by 3 . what is his average after 17 th inning ? \nOptions: a ) 39 , b ) 35 , c ) 42 , d ) 40.5 , e ) 41", "output": [ "a" ] }, { "id": "task1420-552c1f85659c49e3b790bfe489d127a7", "input": "Problem: last year , for every 100 million vehicles that traveled on a certain highway , 40 vehicles were involved in accidents . if 2 billion vehicles traveled on the highway last year , how many of those vehicles were involved in accidents ? ( 1 billion = 1,000 , 000,000 ) \nOptions: a ) 800 , b ) 900 , c ) 100 , d ) 1000 , e ) 950", "output": [ "a" ] }, { "id": "task1420-b1a6113a1bcb4e639fce14a17c18b2f8", "input": "Problem: what is the sum of all even numbers from 1 to 801 ? \nOptions: a ) 160400 , b ) 281228 , c ) 281199 , d ) 122850 , e ) 128111", "output": [ "a" ] }, { "id": "task1420-40a79570cd8d414d92c41861fa218850", "input": "Problem: two spies agreed to meet at a gas station between noon and 1 pm , but they have both forgotten the arranged time . each arrives at a random time between noon and 1 pm and stays for 6 minutes unless the other is there before the 6 minutes are up . assuming all random times are equally likely , what is the probability that they will meet within the hour ( noon to 1 pm ) ? \nOptions: a ) 0.12 , b ) 0.15 , c ) 0.17 , d ) 0.19 , e ) 0.25", "output": [ "d" ] }, { "id": "task1420-0e2eafbe1db34578b09e03fba3a9b451", "input": "Problem: the average marks of a class of 30 students is 30 and that of another class of 50 students is 60 . find the average marks of all the students ? \nOptions: a ) 52.5 , b ) 52.9 , c ) 52.1 , d ) 48.75 , e ) 42.5", "output": [ "d" ] }, { "id": "task1420-1683bb36204e4ccfb40fb961cd5534ee", "input": "Problem: find the mean proportional between 25 & 36 ? \nOptions: a ) a ) 59 , b ) b ) 30 , c ) c ) 63 , d ) d ) 65 , e ) e ) 67", "output": [ "b" ] }, { "id": "task1420-a7f01f7caf574f4a8d14a65bb282ea7e", "input": "Problem: how many multiples of 2 are there between 1 and 52 , exclusive ? \nOptions: a ) 21 , b ) 22 , c ) 25 , d ) 26 , e ) 28", "output": [ "c" ] }, { "id": "task1420-f675f1d5cdc347ed99eab84ec485ea34", "input": "Problem: find the average of first 3 multiples of 5 ? \nOptions: a ) 10 , b ) 15 , c ) 12.5 , d ) 13 , e ) 21", "output": [ "a" ] }, { "id": "task1420-cd7ee8ed1794411eb61aab55d41e3868", "input": "Problem: p and q are the only two applicants qualified for a short - term research project that pays 360 dollars in total . candidate p has more experience and , if hired , would be paid 50 percent more per hour than candidate q would be paid . candidate q , if hired , would require 10 hours more than candidate p to do the job . candidate p ’ s hourly wage is how many dollars greater than candidate q ’ s hourly wage ? \nOptions: a ) $ 3 , b ) $ 6 , c ) $ 9 , d ) $ 12 , e ) $ 15", "output": [ "b" ] }, { "id": "task1420-7d743b25b0ca4cac8cfaab28dce4c487", "input": "Problem: if 183 is divisible by 11 , find the value of the smallest natural no . n ? \nOptions: a ) 5 , b ) 7 , c ) 9 , d ) 10 , e ) 12", "output": [ "b" ] }, { "id": "task1420-e4e487c7b581458b8bc5f284d59ccc01", "input": "Problem: a 100 - litre mixture of milk and water contains 36 litres of milk . ' x ' litres of this mixture is removed and replaced with an equal quantum of water . if the process is repeated once , then the concentration of the milk stands reduced at 9 % . what is the value of x ? \nOptions: a ) 57.5 litres , b ) 56.67 litres , c ) 57.67 litres , d ) 56.5 litres , e ) 50 litres", "output": [ "e" ] }, { "id": "task1420-8d66c30d06e04c8399bb02719b5fca9f", "input": "Problem: the ages of 2 persons differ by 18 years . if 12 years ago the elder one be 6 times as old as the younger one , find the present age of elder person . \nOptions: a ) 33.6 , b ) 47 , c ) 50.4 , d ) 52.4 , e ) 47.9", "output": [ "a" ] }, { "id": "task1420-d19f8e32ef5042fda9df846b612976a1", "input": "Problem: the average ( arithmetic mean ) of all scores on a certain algebra test was 90 . if the average of the 8 male students ’ grades was 87 , and the average of the female students ’ grades was 92 , how many female students took the test ? \nOptions: a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 12", "output": [ "e" ] }, { "id": "task1420-41e3de72f0aa45838e558b9ba3f79853", "input": "Problem: a dog is tied to a tree by a long nylon cord . if the dog runs from the due north side of the tree to the due south side of the tree with the cord extended to its full length at all items , and the dog ran approximately 30 feet , what was the approximate length of the nylon cord q , in feet ? \nOptions: a ) 30 , b ) 25 , c ) 15 , d ) 10 , e ) 5", "output": [ "d" ] }, { "id": "task1420-a44b36a905be4237898411c2a2e7b3e9", "input": "Problem: if the number is decreased by 5 and divided by 7 the result is 7 . what would be the result if 4 is subtracted and divided by 10 ? \nOptions: a ) 4 , b ) 7 , c ) 8 , d ) 5 , e ) 3", "output": [ "d" ] }, { "id": "task1420-0316467e003346ca9917013cda45151e", "input": "Problem: jerry and michelle play a card game . in the beginning of the game they have an equal number of cards . each player , at her turn , gives the other a third of her cards . michelle plays first , giving jerry a third of her cards . jerry plays next , and michelle follows . then the game ends . jerry ended up with 28 more cards than michelle . how many cards did each player have originally ? \nOptions: a ) 51 , b ) 52 , c ) 53 , d ) 54 , e ) 56", "output": [ "d" ] }, { "id": "task1420-93b6778b745741639902b2f5880f11a9", "input": "Problem: the average weight of 6 person ' s increases by 4.5 kg when a new person comes in place of one of them weighing 75 kg . what might be the weight of the new person ? \nOptions: a ) 160 kg , b ) 175 kg , c ) 180 kg , d ) 102 kg , e ) 190 kg", "output": [ "d" ] }, { "id": "task1420-7d6db6e414a947aeb2da569ffbd0b795", "input": "Problem: ( x ) + 9088 + 1090 - 9156 = 19845 . calculate the value of x \nOptions: a ) 11123 , b ) 18153 , c ) 11282 , d ) 18825 , e ) 18823", "output": [ "e" ] }, { "id": "task1420-f01ab84bd88343aeafb5229d3026d4bc", "input": "Problem: the ages of patrick and michael are in the ratio of 3 : 5 and that of michael and monica are in the ratio of 3 : 5 . if the sum of their ages is 245 , what is the difference between the ages of patrick and monica ? \nOptions: a ) 27 , b ) 48 , c ) 80 , d ) 72 , e ) 18", "output": [ "c" ] }, { "id": "task1420-f208414efeca45ecaae4f9b598c70ed5", "input": "Problem: - - - - - - - - - - - - - - - - yes - - - - - - - - - no - - - - unsure subject m - - - - 500 - - - - - - - - 200 - - - - - 100 subject r - - - - 400 - - - - - - - - 100 - - - - - 300 a total of 800 students were asked whether they found two subjects , m and r , interesting . each answer was either yes or no or unsure , and the numbers of students who gave these answers are listed in the table above . if 190 students answered yes only for subject m , how many of the students did not answer yes for either subject ? \nOptions: a ) 100 , b ) 210 , c ) 300 , d ) 400 , e ) 500", "output": [ "b" ] }, { "id": "task1420-a6f2a3d7051b45f9a8ca00f811835510", "input": "Problem: a student finds the average of 9 positive integers . each integer contains two digits . by mistake , the boy interchanges the digits of one number say pq for qp . due to this , the average becomes 1 less than the previous one . what was the difference of the two digits p and q ? \nOptions: a ) 8 , b ) 6 , c ) 1 , d ) 4 , e ) 2", "output": [ "c" ] }, { "id": "task1420-d7fe9c068ea74a889f3b65ef685952c6", "input": "Problem: a batsman scored 120 runs which included 6 boundaries and 4 sixes . what % of his total score did he make by running between the wickets \nOptions: a ) 40 % , b ) 60 % , c ) 65 % , d ) 70 % , e ) 75 %", "output": [ "b" ] }, { "id": "task1420-17947ebdbb4645d69dc8d1fbd7f89f6a", "input": "Problem: a wholesaler wishes to sell 100 pounds of mixed nuts at $ 1.50 a pound . she mixes peanuts worth $ 1.50 a pound with cashews worth $ 4.00 a pound . how many pounds of cashews must she use ? \nOptions: a ) 40 , b ) 45 , c ) 50 , d ) 55 , e ) 60", "output": [ "a" ] }, { "id": "task1420-45852d5aeab34455af02cf2780a35585", "input": "Problem: a ’ s speed is 17 / 14 times that of b . if a and b run a race , what part of the length of the race should a give b as a head start , so that the race ends in a dead heat ? \nOptions: a ) 1 / 14 , b ) 1 / 17 , c ) 3 / 14 , d ) 3 / 17 , e ) 1 / 31", "output": [ "d" ] }, { "id": "task1420-802a0054b5344ec5a3a3d60a8f793d6c", "input": "Problem: at deluxe paint store , fuchsia paint is made by mixing 5 parts of red paint with 3 parts of blue paint . mauve paint is made by mixing 3 parts of red paint with 5 parts blue paint . how many liters of blue paint must be added to 40 liters of fuchsia to change it to mauve paint ? \nOptions: a ) 9 , b ) 12 , c ) 15 , d ) 16 , e ) 26.6", "output": [ "e" ] }, { "id": "task1420-d1ac1fafe2774945a0fe2244711be64f", "input": "Problem: the mean of 50 observations was 36 . it was found later an observation 48 was wrongly taken as 23 . the corrected new means is : \nOptions: a ) 35.2 , b ) 36.1 , c ) 36.5 , d ) 39.1 , e ) none of these", "output": [ "c" ] }, { "id": "task1420-93f6cfac29c944eb9a550d8df65f6664", "input": "Problem: if a * b * c = ( √ ( a + 2 ) ( b + 3 ) ) / ( c + 1 ) , find the value of 6 * 15 * 7 . \nOptions: a ) 8 , b ) 5 , c ) 11 , d ) 3 , e ) 1.5", "output": [ "e" ] }, { "id": "task1420-d0eddacd5ca14b4290cfafb5ee5d5ab9", "input": "Problem: ashis ' s height is 25 % more than babji , by how much percent babji ' s height is less than ashis . \nOptions: a ) 30 % , b ) 25 % , c ) 75 % , d ) 20 % , e ) none of these", "output": [ "d" ] }, { "id": "task1420-aa4704420b004a48b8de4070c38e18f9", "input": "Problem: mona and donald fly to rome for the weekend . they take cash only in notes of $ 10 and notes of € 10 . mona carries 3 times the amount of euros donald carries . she also carries as many dollars as donald carries . the number of € 10 notes they take is double the number of $ 10 notes they take . if donald carries a total of 39 notes ( of either $ 10 or € 10 , ) then what is the total number of notes ( of either $ 10 or € 10 , ) they take ? \nOptions: a ) 130 , b ) 80 , c ) 100 , d ) 120 , e ) 150", "output": [ "a" ] }, { "id": "task1420-a4b83df411564589ab055945eb645c92", "input": "Problem: a two - digit number is such that the product of the digits is 8 . when 18 is added to the number , then the digits are reversed . the number is ? \nOptions: a ) 1 , b ) 2 , c ) 6 , d ) 8 , e ) 9", "output": [ "b" ] }, { "id": "task1420-654826a5a2c144b79e893aa656c64ae7", "input": "Problem: a fair sided dice labeled 1 to 6 is tossed 2 times . what is the probability the sum of the 2 throws is 5 ? \nOptions: a ) 1 / 6 , b ) 7 / 216 , c ) 4 / 36 , d ) 9 / 216 , e ) 11 / 216", "output": [ "c" ] }, { "id": "task1420-2696f35c06854af3b4d672dffce0f159", "input": "Problem: the average age of 15 students of a class is 15 years . out of these , the average age of 6 students is 14 years and that of the other 9 students is 16 years , the age of the 15 th student is \nOptions: a ) 11 , b ) 12 , c ) 13 , d ) 14 , e ) 15", "output": [ "c" ] }, { "id": "task1420-9f529d0bbd7f49d99948d6ef8bc225b4", "input": "Problem: 3 business people wish to invest in a new company . each person is willing to pay one third of the total investment . after careful calculations , they realize that each of them would pay $ 2200 less if they could find two more equal investors . how much is the total investment in the new business ? \nOptions: a ) $ 11,000 , b ) $ 50,000 , c ) $ 16,500 , d ) $ 6,600 , e ) $ 3,600", "output": [ "c" ] }, { "id": "task1420-371550af01df4dc5876da250ad120fc6", "input": "Problem: 3 candidates contested an election and received 1000 , 2000 and 4000 votes respectively . what percentage of the total votes did the winning candidate got ? \nOptions: a ) 30 % , b ) 50 % , c ) 57 % , d ) 62 % , e ) 75 %", "output": [ "c" ] }, { "id": "task1420-a3f57b14bb754bcdb95d4b35455fbfb2", "input": "Problem: the weight of every type a widget is the same , the weight of every type b widget is the same , and the weight of every type c widget is the same . if the weight of 7 type a widgets is equal to the weight of 4 type b widgets , and the weight of 3 type b widgets is equal to the weight of 7 type c widgets . what is the ratio of the total weight of 1 type a widget and 1 type b widget , to the total weight of 1 type b widget and 1 type c widget ? \nOptions: a ) 5 : 4 , b ) 7 : 6 , c ) 9 : 8 , d ) 11 : 10 , e ) 13 : 12", "output": [ "d" ] }, { "id": "task1420-18001c5405c74be690fa6bc6a101eeaa", "input": "Problem: a small pool filled only with water will require an additional 800 gallons of water in order to be filled to 80 % of its capacity . if pumping in these additional 800 gallons of water will increase the amount of water in the pool by 30 % , what is the total capacity of the pool in gallons ? \nOptions: a ) 1000 , b ) 1250 , c ) 1300 , d ) 2000 , e ) 2250", "output": [ "e" ] }, { "id": "task1420-18404cee7bda4d94919c0d1a5ec8d028", "input": "Problem: what is the sum of 80 consecutive integers from - 39 inclusive , in a increasing order ? \nOptions: a ) - 29 , b ) 39 , c ) - 30 , d ) 40 , e ) 60", "output": [ "d" ] }, { "id": "task1420-abda55b4268048fa8abe1f6cad5a9a7d", "input": "Problem: the average of marks obtained by 120 boys was 40 . if the average of marks of passed boys was 39 and that of failed boys was 15 , the number of boys who passed the examination is ? \nOptions: a ) 100 , b ) 110 , c ) 125 , d ) 130 , e ) 145", "output": [ "c" ] }, { "id": "task1420-655bef9b5e5947519bbf390701bc8f26", "input": "Problem: find the missing value : ? - 1936248 = 1635773 \nOptions: a ) 3572021 , b ) 3570221 , c ) 3572012 , d ) 3752012 , e ) none of them", "output": [ "a" ] }, { "id": "task1420-3977d9464514427aadb540940825db2f", "input": "Problem: the two lines y = x and x = - 4 intersect on the coordinate plane . if z represents the area of the figure formed by the intersecting lines and the x - axis , what is the side length w of a cube whose surface area is equal to 6 z ? \nOptions: a ) w = 16 , b ) w = 8 √ 2 , c ) w = 8 , d ) w = 2 √ 2 , e ) ( √ 2 ) / 3", "output": [ "d" ] }, { "id": "task1420-b9914d50d504439caffd96db6b422891", "input": "Problem: the price of a bushel of corn is currently $ 3.20 , and the price of a peck of wheat is $ 10.80 . the price of corn is increasing at a constant rate of 5 x cents per day while the price of wheat is decreasing at a constant rate of x ( 2 ^ 1 / 2 ) - x cents per day . what is the approximate price when a bushel of corn costs the same amount as a peck of wheat ? \nOptions: a ) $ 4.50 , b ) $ 10.2 , c ) $ 5.30 , d ) $ 5.50 , e ) $ 5.60", "output": [ "b" ] }, { "id": "task1420-4082d3369d8040d5b5ae32a2bc04e327", "input": "Problem: the weight of every type a widget is the same , the weight of every type b widget is the same , and the weight of every type c widget is the same . if the weight of 7 type a widgets is equal to the weight of 3 type b widgets , and the weight of 5 type b widgets is equal to the weight of 7 type c widgets . what is the ratio of the total weight of 1 type a widget and 1 type b widget , to the total weight of 1 type b widget and 1 type c widget ? \nOptions: a ) 1 : 2 , b ) 2 : 3 , c ) 3 : 4 , d ) 4 : 5 , e ) 5 : 6", "output": [ "e" ] }, { "id": "task1420-e38fba714994414d9c183f8aafa4c68f", "input": "Problem: the youngest of 4 children has siblings who are 3 , 6 , and 7 years older than she is . if the average ( arithmetic mean ) age of the 4 siblings is 30 , what is the age of the youngest sibling ? \nOptions: a ) 22 , b ) 23 , c ) 24 , d ) 25 , e ) 26", "output": [ "e" ] }, { "id": "task1420-ed9596d7cfbf44bbadcc8a86c4163fd3", "input": "Problem: 5 n + 2 > 12 and 7 n - 12 < 44 ; n must be between which numbers ? \nOptions: a ) 2 and 8 , b ) 2 and 6 , c ) 0 and 9 , d ) 2 and 7 , e ) 2 and 9", "output": [ "a" ] }, { "id": "task1420-ad36c0dd6d174170b158889999a8e801", "input": "Problem: cost is expressed by the formula tb ^ 4 . if b is doubled , the new cost is what percent t of the original cost ? \nOptions: a ) t = 200 , b ) t = 600 , c ) t = 800 , d ) t = 1600 , e ) t = 50", "output": [ "d" ] }, { "id": "task1420-e5260b77a9ae4b9cbc04caa5cc2e9aa2", "input": "Problem: the ratio of ducks and frogs in a pond is 37 : 39 respectively . the average number of ducks and frogs in the pond is 150 . what is the number of frogs in the pond ? \nOptions: a ) 148 , b ) 154 , c ) 156 , d ) 144 , e ) none", "output": [ "b" ] }, { "id": "task1420-374bb64a78f74b238ff53cd1aadb7833", "input": "Problem: 8 friends met for lunch at an expensive restaurant , and everyone decided to contribute equally to the total bill of $ 290 . if one of the friends had a coupon for 29 % off the total bill , and if each friend still contributed equally after the coupon was applied to the bill , how much did each friend pay ? \nOptions: a ) $ 90 , b ) $ 70 , c ) $ 45 , d ) $ 37 , e ) $ 25", "output": [ "e" ] }, { "id": "task1420-fbe02554a0654d1aae1a40b416bcc82f", "input": "Problem: a sum of money is to be distributed among a , b , c , d in the proportion of 5 : 2 : 4 : 3 . if c gets euro 1000 more than d , what is b ' s share ? \nOptions: a ) euro 1000 , b ) euro 3000 , c ) euro 5000 , d ) euro 4000 , e ) euro 2000", "output": [ "e" ] }, { "id": "task1420-eb46f8cf53ed4b2f86646019a82cf778", "input": "Problem: if the number 892 , 132,27 x is divisible by 11 , what must be the value of x ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "d" ] }, { "id": "task1420-3c4f851172de4492a526b431b81b056c", "input": "Problem: in a certain game , a large bag is filled with blue , green , purple and red chips worth 1 , 5 , x and 11 points each , respectively . the purple chips are worth more than the green chips , but less than the red chips . a certain number of chips are then selected from the bag . if the product of the point values of the selected chips is 28160 , how many purple chips were selected ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "c" ] }, { "id": "task1420-e627ab9515f8437999de3c8bddd0955c", "input": "Problem: if the sum of two numbers is 20 and the sum of their squares is 200 , then the product of the numbers is \nOptions: a ) 40 , b ) 44 , c ) 100 , d ) 88 , e ) 48", "output": [ "c" ] }, { "id": "task1420-e8a147079f084c928ec231c4e62463eb", "input": "Problem: if | x + 10 | = 10 what is the sum of all the values of x . \nOptions: a ) 20 , b ) 40 , c ) - 20 , d ) 0 , e ) - 40", "output": [ "c" ] }, { "id": "task1420-7a27330e9cb74ea7b951bd2b5f66a190", "input": "Problem: a ’ s speed is 51 / 44 times that of b . if a and b run a race , what part of the length of the race should a give b as a head start , so that the race ends in a dead heat ? \nOptions: a ) 1 / 51 , b ) 4 / 51 , c ) 7 / 51 , d ) 3 / 44 , e ) 7 / 44", "output": [ "c" ] }, { "id": "task1420-d963c3e9e79048d799921216a0d3afdc", "input": "Problem: there are cats got together and decided to kill the mice of 999984 . each cat kills equal number of mice and each cat kills more number of mice than cats there were . then what are the number of cats ? \nOptions: a ) 941,1009 , b ) 991,1001 , c ) 996,1004 , d ) 791,1009 , e ) 931,1009", "output": [ "c" ] }, { "id": "task1420-90e6f30e262c4cd7b37a831e5aa4dd6d", "input": "Problem: the age of somu is one - third his father ' s . 9 years back he was one - fifth of his father ' s age . what is his persent age ? \nOptions: a ) 11 , b ) 18 , c ) 14 , d ) 12 , e ) 10", "output": [ "b" ] }, { "id": "task1420-3796783ef30543449624f26e1c033d6a", "input": "Problem: what is the remainder when 14,452 × 15,652 × 16,781 is divided by 5 ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4", "output": [ "e" ] }, { "id": "task1420-a638d5b78c8c409dbb59266c83bb5b16", "input": "Problem: if taxi fares were $ 1.00 for the first 1 / 5 mile and $ 0.50 for each 1 / 5 mile there after , then the taxi fare for a 3 - mile ride was \nOptions: a ) $ 1.56 , b ) $ 2.40 , c ) $ 3.80 , d ) $ 4.20 , e ) $ 8.00", "output": [ "e" ] }, { "id": "task1420-d1a738130d1649cdafbb83680486a1cc", "input": "Problem: the largest natural number which exactly divides the product of any 4 consecutive natural numbers is \nOptions: a ) 6 , b ) 12 , c ) 24 , d ) 120 , e ) none", "output": [ "c" ] }, { "id": "task1420-7685d73eb4954df992e668e6beb28db5", "input": "Problem: if n is a positive integer and the product of all integers from 1 to n , inclusive , is a multiple of 210 , what is the least possible value of n ? \nOptions: a ) 7 , b ) 9 , c ) 11 , d ) 13 , e ) 14", "output": [ "a" ] }, { "id": "task1420-2d7f7063bfbf462d8427782a221621cb", "input": "Problem: in a group of 120 people , 90 have an age of more 30 years , and the others have an age of less than 20 years . if a person is selected at random from this group , what is the probability the person ' s age is less than 20 ? \nOptions: a ) 60 / 120 , b ) 15 / 120 , c ) 30 / 120 , d ) 80 / 120 , e ) 40 / 120", "output": [ "c" ] }, { "id": "task1420-adfdb1c789d54a14ab949d2a959635dc", "input": "Problem: a , b and c invest in the ratio of 3 : 4 : 5 . the percentage of return on their investments are in the ratio of 6 : 5 : 4 . find the total earnings , if b earns rs . 150 more than a : \nOptions: a ) 2348 , b ) 7250 , c ) 4350 , d ) 1998 , e ) 2771", "output": [ "c" ] }, { "id": "task1420-7e6808f93eca4bec823b8ed464705c9f", "input": "Problem: 65 bags of nuts are to be divided among 13 students . each bag contains 15 nuts . how many nuts will each student receive ? \nOptions: a ) 75 , b ) 65 , c ) 43 , d ) 52 , e ) 78", "output": [ "a" ] }, { "id": "task1420-d52846017be94c67b4472307adf3854a", "input": "Problem: if x ^ 2 + ( 1 / x ^ 2 ) = 6 , x ^ 4 + ( 1 / x ^ 4 ) = ? \nOptions: a ) 10 , b ) 11 , c ) 12 , d ) 34 , e ) 15", "output": [ "d" ] }, { "id": "task1420-7512e21a668f40918589232c31286428", "input": "Problem: a special municipal payroll tax charges not tax on a payroll less than $ 200,000 and only 0.2 % on a company ’ s payroll above $ 200,000 . if belfried industries paid $ 400 in this special municipal payroll tax , then they must have had a payroll of \nOptions: a ) $ 180,000 , b ) $ 400,000 , c ) $ 220,000 , d ) $ 402,000 , e ) $ 2 , 200,000", "output": [ "b" ] }, { "id": "task1420-23eb692af84441b4b6fe9f717e09ce9a", "input": "Problem: how many 4 digit numbers have no repeat digits , do not contain zero , and have a sum of digits f equal to 28 ? \nOptions: a ) 14 , b ) 24 , c ) 28 , d ) 48 , e ) 96", "output": [ "d" ] }, { "id": "task1420-4367b9d41b894057a8a5d77110abd18d", "input": "Problem: the average of first 50 non - zero positive integers is \nOptions: a ) 11.5 , b ) 25.5 , c ) 22 , d ) 25 , e ) 27", "output": [ "b" ] }, { "id": "task1420-b5a201f33a614c4a91ab310147a48abb", "input": "Problem: of the 100 people in a room , 2 / 5 are women . if 1 / 4 of the people are married , what is the maximum number of women in the room who could be unmarried ? \nOptions: a ) 32 , b ) 34 , c ) 36 , d ) 38 , e ) 40", "output": [ "e" ] }, { "id": "task1420-92208bad034d4a55a7a98158c3b97c71", "input": "Problem: if ( a + b ) = 16 , ( b + c ) = 9 and ( c + d ) = 3 , what is the value of ( a + d ) ? \nOptions: a ) 10 . , b ) 8 . , c ) 7 . , d ) 2 . , e ) - 2 .", "output": [ "a" ] }, { "id": "task1420-c233d2cad2874993bba9ba4c4e1f20bb", "input": "Problem: 90 % of the population of a village is 36000 . the total population of the village is ? \nOptions: a ) 26799 , b ) 24000 , c ) 26682 , d ) 29973 , e ) 40000", "output": [ "e" ] }, { "id": "task1420-8e8c4a0c7b854f07bfed307073d5abd4", "input": "Problem: if two positive numbers are in the ratio 1 / 8 : 1 / 5 , then by what percent is the second number more than the first ? \nOptions: a ) 70 % , b ) 90 % , c ) 60 % , d ) 50 % , e ) 65 %", "output": [ "c" ] }, { "id": "task1420-d880f1b107f44a069a81629d295e0fcc", "input": "Problem: on thursday mabel handled 90 transactions . anthony handled 10 % more transactions than mabel , cal handled 2 / 3 rds of the transactions that anthony handled , and jade handled 17 more transactions than cal . how much transactions did jade handled ? \nOptions: a ) 80 , b ) 81 , c ) 82 , d ) 83 , e ) 84", "output": [ "d" ] }, { "id": "task1420-da2833b9925048a1bbb778f68c741792", "input": "Problem: in the youth summer village there are 125 people , 50 of them are not working , 25 of them have families and 75 of them like to sing in the shower . what is the largest possible number of people in the village , which are working , that do n ' t have families and that are singing in the shower ? \nOptions: a ) 75 , b ) 80 , c ) 85 , d ) 100 , e ) 90", "output": [ "a" ] }, { "id": "task1420-604527afb88f4a608c4cb1d52e35af9f", "input": "Problem: for an agricultural experiment , 300 seeds were planted in one plot and 200 were planted in a second plot . if exactly 25 percent of the seeds in the first plot germinated and exactly 40 percent of the seeds in the second plot germinated , what percent of the total number of seeds germinated ? \nOptions: a ) 12 % , b ) 26 % , c ) 29 % , d ) 31 % , e ) 60 %", "output": [ "d" ] }, { "id": "task1420-cda504a6f14248d88c01e9769aa8f442", "input": "Problem: in a can , there is a mixture of milk and water in the ratio 2 : 5 . if it is filled with an additional 8 litres of milk the can would be full and ratio of milk and water would become 4 : 5 . find the capacity of the can ? \nOptions: a ) 40 , b ) 44 , c ) 48 , d ) 50 , e ) 8", "output": [ "e" ] }, { "id": "task1420-702d6fab6a194588b5813ef8f2f24636", "input": "Problem: a welder received an order to make a 1 million liter cube - shaped tank . if he has only 4 x 2 meter sheets of metal that can be cut , how many metal sheets will be required for this order y ? ( 1 cubic meter = 1000 liters ) \nOptions: a ) 92 , b ) 90 , c ) 82 , d ) 78 , e ) 75", "output": [ "e" ] }, { "id": "task1420-08a885c7f6e24b8a91b12d07e57b16eb", "input": "Problem: mr . evans will states that each of his children will receive an equal share of his estate and that his grandchildren will split a portion of the estate that is equal to the share received by each of his children . if mr . evans has 4 children and 5 grandchildren , then approximately what percentage of mr . evans estate will each grandchild receive ? \nOptions: a ) 20 % , b ) 17 % , c ) 4.0 % , d ) 3.3 % , e ) 2.8 %", "output": [ "c" ] }, { "id": "task1420-514cd80356e94691a4fd8efce6115b03", "input": "Problem: if n is an integer , f ( n ) = f ( n - 1 ) - n and f ( 4 ) = 14 . what is the value of f ( 6 ) ? \nOptions: a ) 3 , b ) 0 , c ) 1 , d ) 2 , e ) 4", "output": [ "a" ] }, { "id": "task1420-9c16f2950ff440539a70a403c1c8ff1c", "input": "Problem: 2 + 4 \nOptions: a ) 8 , b ) 13 , c ) 28 , d ) 6 , e ) 2", "output": [ "d" ] }, { "id": "task1420-d7c4b3d535bf402aa0cca5fe4aa311c6", "input": "Problem: if the sales tax be reduced from 4 ( 1 / 4 ) % to 1 ( 1 / 2 ) % , then what difference does it make to a person who purchases a bag with marked price of rs . 4500 ? \nOptions: a ) rs . 156.66 , b ) rs . 150.23 , c ) rs . 123.75 , d ) rs . 135.06 , e ) none of these", "output": [ "c" ] }, { "id": "task1420-d991e2013f4f40a19306e8f3b7ea1694", "input": "Problem: what is the least value of x , so that 2 x 5472 is divisible by 9 \nOptions: a ) 7 , b ) 8 , c ) 9 , d ) 3 , e ) 2", "output": [ "a" ] }, { "id": "task1420-852ccd7533e54a91aa926f1f01663d4e", "input": "Problem: 5220 / ? * 15 = 2175 \nOptions: a ) 34 , b ) 36 , c ) 33 , d ) 42 , e ) 24", "output": [ "b" ] }, { "id": "task1420-41fddc2f7618476ebbedeb57ae67b33a", "input": "Problem: machine x takes 80 hours longer than machine y to produce 1080 widgets . machine y produces 20 percent more widgets in an hour than machine x does in an hour . how many widgets per hour does machine x produce \nOptions: a ) 100 , b ) 65 , c ) 25 , d ) 11 , e ) 2.25", "output": [ "e" ] }, { "id": "task1420-03576b3c0d454a6a90f8a94f68b871a0", "input": "Problem: how many different positive integers exist between 10 ^ 2 and 10 ^ 3 , the sum of whose digits is equal to 2 ? \nOptions: a ) 3 , b ) 5 , c ) 6 , d ) 7 , e ) 8", "output": [ "a" ] }, { "id": "task1420-aab13123b21d4cca996c976a45a62f70", "input": "Problem: george baked a total of 100 pizzas for 7 straight days , beginning on saturday . he baked 3 / 5 of the pizzas the first day , and 3 / 5 of the remaining pizzas the second day . if each successive day he baked fewer pizzas than the previous day , what is the maximum number of pizzas he could have baked on wednesday ? \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "a" ] }, { "id": "task1420-79d2629cc0bb459b8b1b662df045c7a0", "input": "Problem: each week , harry is paid x dollars per hour for the first 30 hours and 1.5 x dollars for each additional hour worked that week . each week , james is paid x dollars per hour for the first 40 hours and 2 x dollars for each additional hour worked that week . last week james worked a total of 44 hours . if harry and james were paid the same amount last week , how many hours did harry work last week ? \nOptions: a ) 35 , b ) 36 , c ) 37 , d ) 38 , e ) 42", "output": [ "e" ] }, { "id": "task1420-c060f0b79b5442458d4a2dc2a364f41f", "input": "Problem: find the numbers which are in the ratio 5 : 2 : 4 such that the sum of the first and the second added to the difference of the third and the second is 18 ? \nOptions: a ) 4 , 3,22 , b ) 4 , 4,22 , c ) 10 , 4,8 , d ) 9 , 6,12 , e ) 9 , 2,23", "output": [ "c" ] }, { "id": "task1420-bb1936f327b840f197df3afe91022603", "input": "Problem: in a division , divident is 725 , divisior is 36 and quotient is 20 . find the remainder . \nOptions: a ) a ) 4 , b ) b ) 3 , c ) c ) 2 , d ) d ) 5 , e ) e ) 6", "output": [ "d" ] }, { "id": "task1420-5138a8a8da7444359bfd9b0212becc09", "input": "Problem: the average of numbers 0.44204 , 0.44203 , 0.44202 and 0.44201 is ? \nOptions: a ) 0.44202 , b ) 0.44204 , c ) 0.442022 , d ) 0.442025 , e ) none", "output": [ "d" ] }, { "id": "task1420-62444c6f08a54c67a833b89c21eeb650", "input": "Problem: find large number from below question the difference of 2 no ' s is 1365 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder \nOptions: a ) 1236 , b ) 1356 , c ) 1470 , d ) 1556 , e ) 1635", "output": [ "e" ] }, { "id": "task1420-aa19f7ac7f4a4d908efb611e2834faf7", "input": "Problem: how many pages do you need if you have to write 150 lines of information into pages that each hold 30 lines ? \nOptions: a ) a ) 7 , b ) b ) 5 , c ) c ) 9 , d ) d ) 8 , e ) e ) none of the above", "output": [ "b" ] }, { "id": "task1420-4402fd0982af422fb89d3f86045e4a71", "input": "Problem: if x / 5 + 9 / x = 14 / 5 , what are the values of 3 x - 7 ? \nOptions: a ) 8 and 9 , b ) 8 and 20 , c ) 17 and 21 , d ) 12 and 29 , e ) 17 and 29", "output": [ "b" ] }, { "id": "task1420-8a8efdc76e054796b2e2562386208d2b", "input": "Problem: a , b and c have rs . 500 between them , a and c together have rs . 200 and b and c rs . 360 . how much does c have ? \nOptions: a ) 60 , b ) 78 , c ) 267 , d ) 29 , e ) 27", "output": [ "a" ] }, { "id": "task1420-096d59250f8a4c6d9bd1c04b1de73174", "input": "Problem: find the ratio in which wheat of inferior quality ( rs . 14 / kg ) be mixed with wheat of superior quality ( rs . 28 / kg ) so that the shopkeeper gains rs . 2 by selling the resulting mixture at rs . 20 / kg . \nOptions: a ) 5 : 2 , b ) 5 : 9 , c ) 5 : 3 , d ) 5 : 1 , e ) 5 : 8", "output": [ "a" ] }, { "id": "task1420-9a0a9ffd446c4035bceb35236fe16004", "input": "Problem: a number when divided by a divisor leaves a remainder of 21 . when twice the original number is divided by the same divisor , the remainder is 11 . what is the value of the divisor ? \nOptions: a ) 12 , b ) 13 , c ) 34 , d ) 37 , e ) 59", "output": [ "d" ] }, { "id": "task1420-99b850cc3ba843da851da1f1ffba05df", "input": "Problem: carol spends 1 / 4 of her savings on a stereo and 1 / 5 less than she spent on the stereo for a television . what fraction of her savings did she spend on the stereo and television ? \nOptions: a ) 1 / 4 , b ) 2 / 7 , c ) 5 / 12 , d ) 9 / 20 , e ) 7 / 12", "output": [ "d" ] }, { "id": "task1420-4c56e77e233740f08ce310080120df96", "input": "Problem: the tax on a commodity is diminished by 22 % and its consumption increased by 11 % . the effect on revenue is ? \nOptions: a ) 8 , b ) 6 , c ) 5 , d ) 4 , e ) 2", "output": [ "e" ] }, { "id": "task1420-ff125c0cbe7a46c1b9b3f56c353d1a53", "input": "Problem: the probability that a man will be alive for 10 more yrs is 1 / 4 & the probability that his wife will alive for 10 more yrs is 1 / 3 . the probability that none of them will be alive for 10 more yrs , is \nOptions: a ) 1 / 2 , b ) 1 , c ) 2 / 3 , d ) 3 / 5 , e ) 3 / 8", "output": [ "a" ] }, { "id": "task1420-2e2c372be03040c88e54d8588eaeb5b4", "input": "Problem: elena ’ s bread recipe calls for 5 ounces of butter for each 7 cups of flour used . she needs to make 4 times the original recipe . if 12 ounces of butter is used , then how many cups of flour are needed ? \nOptions: a ) 1 , b ) 4 , c ) 9 , d ) 13 , e ) 28", "output": [ "e" ] }, { "id": "task1420-875e63bdf4264c2189f1ccf98fc65a01", "input": "Problem: if you roll a fair - sided die twice , what is the probability of getting a double ( 5,5 ) ? \nOptions: a ) 1 / 24 , b ) 1 / 36 , c ) 1 / 12 , d ) 1 / 18 , e ) 1 / 3 !", "output": [ "e" ] }, { "id": "task1420-37c9117fb5bd49ed844da32dfac9e47a", "input": "Problem: if 20 percent of the students at a certain school went to a camping trip and took more than $ 100 , and 75 percent of the students who went to the camping trip did not take more than $ 100 , what percentage of the students at the school went to the camping trip ? \nOptions: a ) 95 , b ) 90 , c ) 85 , d ) 80 , e ) 75", "output": [ "d" ] }, { "id": "task1420-b3d2ac9ddc124527b77d999a25dc9a7c", "input": "Problem: pure milk costs 3.60 per litre . a milkman adds water to 25 litres of pure milk and sells the mixture at 3 per litre . how many litres of water does he add ? \nOptions: a ) 2 litres , b ) 5 litres , c ) 7 litres , d ) 11 litres , e ) none of these", "output": [ "b" ] }, { "id": "task1420-c869512bb0834840a0b9073f203f5173", "input": "Problem: find the smallest number which when divided by 11 and 12 leaves respective remainders of 2 and 3 . \nOptions: a ) 131 , b ) 197 , c ) 207 , d ) 219 , e ) 227", "output": [ "a" ] }, { "id": "task1420-e709539f5140427483c2f5bc4b024a6d", "input": "Problem: the number 341 is equal to the sum of the cubes of two integers . what is the product of those integers ? \nOptions: a ) 8 , b ) 15 , c ) 21 , d ) 30 , e ) 39", "output": [ "d" ] }, { "id": "task1420-75786f2c4dec4f3fb4944ca2454c7c0e", "input": "Problem: the average of 5 numbers is 6.8 . if one of the numbers is multiplied by a factor of 2 , the average of the numbers increases to 9.2 . what number is multiplied by 2 ? \nOptions: a ) 12.0 , b ) 30.0 , c ) 30.9 , d ) 40.0 , e ) 60.0", "output": [ "a" ] }, { "id": "task1420-3bc775a3cdde46acb837ed9414d66ac5", "input": "Problem: a transport company ’ s 120 buses running 20 hrs a day consume 360 of fuel in a day . in the next 3 days , the company will invest in 30 more green buses that use 30 % less fuel . how many lts of fuel will be consumed in a 5 day week after the new buses are added to the fleet ? \nOptions: a ) 3060 , b ) 1 , 512 , c ) 1800 , d ) 1260 , e ) 3,312", "output": [ "e" ] }, { "id": "task1420-ecebeba8e1f94c0c8c81a21955a07e6e", "input": "Problem: what is the 28 th digit to the right of the decimal point in the decimal form of 5 / 11 ? \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "c" ] }, { "id": "task1420-f46f771b29d046eaaf364619c552890a", "input": "Problem: john is going with 10 friends on a trip to sidney for spring break . airfare and hotel costs a total of $ 12100.00 for the group of 11 friends . how much does each person have to pay for their hotel and airfare ? \nOptions: a ) $ 1010 , b ) $ 1100 , c ) $ 1110 , d ) $ 1101 , e ) $ 1200", "output": [ "b" ] }, { "id": "task1420-1a516937ad714b969938544fbed20002", "input": "Problem: if 25 % of x is 30 less than 20 % of 1000 , then x is ? \nOptions: a ) 188 , b ) 216 , c ) 156 , d ) 680 , e ) 121", "output": [ "d" ] }, { "id": "task1420-2f80f69480a649ee9637d22eeccdd7a0", "input": "Problem: if the price of sugar rises from rs . 6 per kg to rs . 7.50 per kg , a person , to have no increase in the expenditure on sugar , will have to reduce his consumption of sugar by \nOptions: a ) 15 % , b ) 20 % , c ) 25 % , d ) 30 % , e ) none", "output": [ "b" ] }, { "id": "task1420-55351043c4df44308a4a3c8c7dfcc6ab", "input": "Problem: bookman purchased 30 copies of a new book released recently , 10 of which are hardback and sold for $ 20 each , and rest are paperback and sold for $ 10 each . if 14 copies were sold and the total value of the remaining books was 240 , how many paperback copies were sold ? \nOptions: a ) 8 , b ) 12 , c ) 6 , d ) 4 , e ) 5", "output": [ "b" ] }, { "id": "task1420-559566c2687c4fe98485f81795c14a13", "input": "Problem: find the average of all the numbers between 16 and 34 which are divisible by 5 ? \nOptions: a ) 10 , b ) 20 , c ) 28 , d ) 30 , e ) 15", "output": [ "c" ] }, { "id": "task1420-5a338a6fe94c42239f827c1c376c7ce3", "input": "Problem: a number whose fifth part increased by 7 is equal to its fourth part diminished by 7 is ? \nOptions: a ) 160 , b ) 180 , c ) 200 , d ) 280 , e ) none", "output": [ "d" ] }, { "id": "task1420-065a19e465b142d69badff37bf97490f", "input": "Problem: the average length of 6 ropes is 80 cm . if the average length of one third of the ropes measure to 70 cm , what is the average of the other ropes ? \nOptions: a ) 75 . , b ) 85 . , c ) 90 . , d ) 94 . , e ) 100 .", "output": [ "b" ] }, { "id": "task1420-d38e0a6c3df642f7a47dd501b80b7355", "input": "Problem: can you please walk me through how to best approach this problem ? thanks if # p # = ap ^ 3 + bp – 1 where a and b are constants , and # - 5 # = 10 , what is the value of # 5 # ? \nOptions: a ) 5 , b ) - 12 , c ) - 2 , d ) - 3 , e ) - 5", "output": [ "b" ] }, { "id": "task1420-caeaeabfdbed406c80c4ec4f9c241646", "input": "Problem: a rope of which a calf is tied is increased from 10 m to 23 m , how much additional grassy ground shall it graze ? \nOptions: a ) 1217 , b ) 1348.2 , c ) 1210 , d ) 1212 , e ) 1312", "output": [ "b" ] }, { "id": "task1420-74e640a8238a4a7880f025ac2c08b503", "input": "Problem: working simultaneously and independently at an identical constant rate , 4 machines of a certain type can produce a total of x units of product p in 6 days . how many of these machines , working simultaneously and independently at this constant rate , can produce a total of 3 x units of product p in 6 days ? \nOptions: a ) 24 , b ) 18 , c ) 16 , d ) 12 , e ) 8", "output": [ "d" ] }, { "id": "task1420-8c89d89556cb4fdabdca0866b2f22fbf", "input": "Problem: the average of 13 numbers is 60 . average of the first 7 of them is 57 and that of the last 7 is 61 . find the 8 th number ? \nOptions: a ) 43 , b ) 30 , c ) 35 , d ) 45 , e ) 50", "output": [ "a" ] }, { "id": "task1420-825f447ee6924e0db82d899a786f07c9", "input": "Problem: if p # q denotes the least common multiple of p and q , then w = ( ( 12 # 16 ) # ( 18 # 24 ) ) = ? \nOptions: a ) 216 , b ) 180 , c ) 144 , d ) 108 , e ) 72", "output": [ "c" ] }, { "id": "task1420-68774e603405492f9446d08c527bc28e", "input": "Problem: rice weighing 25 / 2 pounds was divided equally and placed in 4 containers . how many ounces of rice were in each container ? ( note that 1 pound = 16 ounces ) \nOptions: a ) 40 , b ) 50 , c ) 60 , d ) 70 , e ) 80", "output": [ "b" ] }, { "id": "task1420-6b76aa8501dc461191411c27e1951798", "input": "Problem: a driver just filled the car ' s gas tank with 27 liters of gasohol , a mixture consisting of 5 % ethanol and 95 % gasoline . if the car runs best on a mixture consisting of 10 % ethanol and 90 % gasoline , how many liters of ethanol must be added into the gas tank for the car to achieve optimum performance ? \nOptions: a ) 1.2 , b ) 1.5 , c ) 1.8 , d ) 2.1 , e ) 2.4", "output": [ "b" ] }, { "id": "task1420-5e6dfcbc5f8149c69d5ca1a0cca18505", "input": "Problem: for the symbol , m ” n = n ^ 2 − m for all values of m and n . what is the value of 4 ” 3 ? \nOptions: a ) 5 , b ) 3 , c ) 2 , d ) 1 , e ) 0", "output": [ "a" ] }, { "id": "task1420-da79c982413942709ccef47b07c94876", "input": "Problem: the number 91 is equal to the sum of the cubes of two integers . what is the product of those integers ? \nOptions: a ) 8 , b ) 12 , c ) 21 , d ) 27 , e ) 39", "output": [ "b" ] }, { "id": "task1420-abe7fe87da9b476681f6e330d8e24cfa", "input": "Problem: a company decreased the price of its main product by 20 % . subsequently , the number of units sold increased such that the total revenue remained unchanged . what was the ratio of the percent increase in the units sold to the percent decrease of the original price for this product ? \nOptions: a ) 3.0 , b ) 7.0 , c ) 5.0 , d ) 2.0 , e ) 1.0", "output": [ "c" ] }, { "id": "task1420-bb814ed4c6db4589a7a9031427fbad8e", "input": "Problem: the grade point average of one third of the classroom is 69 ; the grade point average of the rest is 60 . what is the grade point average of the whole class ? \nOptions: a ) 61 . , b ) 63 . , c ) 65 , d ) 67 , e ) it depends how many people are there in the class .", "output": [ "e" ] }, { "id": "task1420-f8d586540813468ab1c120768b33a8ff", "input": "Problem: find large number from below question the difference of two numbers is 1345 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder \nOptions: a ) 1235 , b ) 1345 , c ) 1678 , d ) 1767 , e ) 1611", "output": [ "e" ] }, { "id": "task1420-126fd1f7cfc04a3abc704ad34ce1b5d2", "input": "Problem: which number should replace both the asterisks in ( * / 18 ) x ( * / 162 ) = 1 ? \nOptions: a ) 27 , b ) 36 , c ) 54 , d ) 72 , e ) 90", "output": [ "c" ] }, { "id": "task1420-437f964605f844b9b5668ca0ee6e68ef", "input": "Problem: a bucket contains 2 mixtures a and b in the ratio 3 : 2 . if 5 liters of the mixture is replaced by 5 liters of liquid b , then the ratio of the two liquids becomes 3 : 5 . how much of the liquid a was there in the bucket ? \nOptions: a ) 8 liters , b ) 10 liters , c ) 12 liters , d ) 15 liters , e ) 18 liters", "output": [ "a" ] }, { "id": "task1420-df03ab9cabc3487c8e24339d44f8e1d0", "input": "Problem: 10 % people of a village in sri lanka died by bombardment , 15 % of the remainder left the village on account of fear . if now the population is reduced to 2907 , how much was it in the beginning ? \nOptions: a ) a ) 3800 , b ) b ) 4200 , c ) c ) 4400 , d ) d ) 4500 , e ) e ) 4600", "output": [ "a" ] }, { "id": "task1420-1e4616fc71b44b0db582586baaad6caf", "input": "Problem: p , q , r enter into a partnership & their share are in the ratio 1 / 2 : 1 / 3 : 1 / 4 , after two months , p withdraws half of the capitals & after 10 months , a profit of rs 378 is divided among them . what is q ' s share ? \nOptions: a ) 114 , b ) 120 , c ) 134 , d ) 144 , e ) none of these", "output": [ "d" ] }, { "id": "task1420-74fcf8c9a1f7400380530319c3da2f60", "input": "Problem: the product of two positive integers is 675 and their difference is 2 . what is the bigger number ? \nOptions: a ) 21 , b ) 23 , c ) 25 , d ) 27 , e ) 29", "output": [ "d" ] }, { "id": "task1420-7287ae41ed444edea9e225e99e86893d", "input": "Problem: what is 982 * 982 ? \nOptions: a ) 964,169 , b ) 964,219 , c ) 964,324 , d ) 975,019 , e ) 975,369", "output": [ "c" ] }, { "id": "task1420-19b3d3ea611f4859b179feb6fc628ae9", "input": "Problem: in a company the manager wants to give some gifts to all of the workers . in each block there are about 100 workers are there . the total amount for giving the gifts for all the workers is $ 4000 . the worth of the gift is $ 4 . how many blocks are there in the company ? \nOptions: a ) 12 , b ) 10 , c ) 15 , d ) 17 , e ) 20", "output": [ "b" ] }, { "id": "task1420-53d8b2d5529a4fb682af0aa1cb0f11e8", "input": "Problem: the ratio of sodium chloride to ammonium in 100 kg of mixed ammonium normally used by 3 chemists is 1 : 4 . the amount of sodium chloride to be added to 100 kg of mixed ammonium to make the ratio 9 : 25 is \nOptions: a ) 5 kg , b ) 6.625 kg , c ) 6.25 kg , d ) 6.35 kg , e ) 8.8 kg", "output": [ "e" ] }, { "id": "task1420-7152eb80866c4e40b435a8c3ea974f0c", "input": "Problem: in a group of cows and chickens , the number of legs was 20 more than twice the number of heads . the number of cows was : \nOptions: a ) 5 , b ) 7 , c ) 10 , d ) 12 , e ) 14", "output": [ "c" ] }, { "id": "task1420-64f0126150ef48f5a82f0cd53519e0ae", "input": "Problem: according to the direction on a can of frozen orange juice concentrate is to be mixed with 3 cans of water to make orange juice . how many 20 - ounce cans of the concentrate are required to prepare 200 6 - ounce servings of orange juice ? \nOptions: a ) 15 , b ) 34 , c ) 50 , d ) 67 , e ) 100", "output": [ "a" ] }, { "id": "task1420-fe4cd9980f574ff6990cafd7f0293fa0", "input": "Problem: in the coordinate plane , points ( x , 2 ) and ( 4 , y ) are on line k . if line k passes through the origin and has slope 1 / 4 , then x - y = \nOptions: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10", "output": [ "b" ] }, { "id": "task1420-05c64265aad84e1db9390367a029716a", "input": "Problem: in 1970 there were 8,902 women stockbrokers in the united states . by 1978 the number had increased to 21,947 . approximately what was the percent increase ? \nOptions: a ) 45 % , b ) 125 % , c ) 147 % , d ) 150 % , e ) 225 %", "output": [ "c" ] }, { "id": "task1420-e4680433cbac4a90bbdbe4d786a7f59b", "input": "Problem: the mean of 50 observations was 36 . it was found later that an observation 34 was wrongly taken as 23 . the corrected new mean is : \nOptions: a ) 36.0 , b ) 36.5 , c ) 36.24 , d ) 36.12 , e ) 36.22", "output": [ "e" ] }, { "id": "task1420-c43cf99520144f66a88d3652dfadd437", "input": "Problem: what is the average ( arithmetic mean ) of all the multiples of 10 from 10 to 160 inclusive ? \nOptions: a ) 90 , b ) 95 , c ) 70 , d ) 105 , e ) 110", "output": [ "c" ] }, { "id": "task1420-ec66197ec1b84ee6800a826728228247", "input": "Problem: a man whose speed is 6.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 2.5 kmph , find his average speed for the total journey ? \nOptions: a ) 1 kmph , b ) 5 kmph , c ) 5.5 kmph , d ) 4 kmph , e ) 7 kmph", "output": [ "c" ] }, { "id": "task1420-1ed23ccbbed445d0b147028b62afb77b", "input": "Problem: if x = 2 ^ 8 and x ^ x = 2 ^ k , what is k ? \nOptions: a ) 2 ^ 15 , b ) 2 ^ 14 , c ) 2 ^ 13 , d ) 2 ^ 12 , e ) 2 ^ 11", "output": [ "e" ] }, { "id": "task1420-63e4ce77440a45179bc6d09013691ccd", "input": "Problem: when a merchant imported a certain item , she paid a 7 percent import tax on the portion of the total value of the item in excess of $ 1,000 . if the amount of the import tax that the merchant paid was $ 109.20 , what was the total value of the item ? \nOptions: a ) $ 1,600 , b ) $ 1,850 , c ) $ 2,250 , d ) $ 2,440 , e ) $ 2,560", "output": [ "e" ] }, { "id": "task1420-6d6263ca3e86402da80304241f439c4b", "input": "Problem: in a room with 6 people , 4 people have exactly 1 friend in the room and 3 people have exactly 2 friends in the room ( assuming that friendship is a mutual relationship , i . e . if jane is paul ' s friend , paul is jane ' s friend ) . if two individuals are selected from the room at random , what is the probability that those two individuals are not friends ? \nOptions: a ) 5 / 21 , b ) 3 / 7 , c ) 4 / 7 , d ) 5 / 7 , e ) 16 / 15", "output": [ "e" ] }, { "id": "task1420-14b29a8ee49e48148ef7872ccd1d1e62", "input": "Problem: a & b started a partnership business . a ' s investment was thrice the investment of b and the period of his investment was two times the period of investments of b . if b received rs 5000 as profit , what is their total profit ? \nOptions: a ) 28000 , b ) 30000 , c ) 32000 , d ) 35000 , e ) none of these", "output": [ "d" ] }, { "id": "task1420-b3966fb26cf646328735f25bbd99aa52", "input": "Problem: which number should replace both the asterisks in ( * / 21 ) x ( * / 189 ) = 1 ? \nOptions: a ) 21 , b ) 63 , c ) 3969 , d ) 147 , e ) 167", "output": [ "b" ] }, { "id": "task1420-19f0f9672273459497ef518935901381", "input": "Problem: the total population of city a and city b is 5000 more than the total population of city b and city c . how much lesser is the population in city c as compared to city a ? \nOptions: a ) 8500 , b ) 3500 , c ) 4500 , d ) 5000 , e ) 1500", "output": [ "d" ] }, { "id": "task1420-eadd031f2280444493b1f650fed17ea9", "input": "Problem: two - third of a positive number and 25 / 216 of its reciprocal are equal . the number is : \nOptions: a ) 5 / 12 , b ) 12 / 5 , c ) 25 / 144 , d ) 144 / 25 , e ) 146 / 25", "output": [ "a" ] }, { "id": "task1420-3556b7e65dac45bda7beb78ae9e8df1e", "input": "Problem: a is two years older than b who is twice as old as c . if the total of the ages of a , b and c be 32 , then how old is b ? \nOptions: a ) 17 years , b ) 19 years , c ) 29 years , d ) 10 years , e ) 12 years", "output": [ "e" ] }, { "id": "task1420-cd19f9239ca24519841e3a87dfcbcc19", "input": "Problem: how many even multiples of 25 are there between 249 and 501 ? \nOptions: a ) 5 , b ) 6 , c ) 9 , d ) 10 , e ) 11", "output": [ "b" ] }, { "id": "task1420-aa0a6742df704a819c1afbc6ec18474d", "input": "Problem: given that 268 x 74 = 19532 , find the value of 2.68 x . 74 . \nOptions: a ) 1.9532 , b ) 1.0025 , c ) 1.5693 , d ) 1.0266 , e ) none", "output": [ "a" ] }, { "id": "task1420-0ed06bd06c9f4355949d55379faf8595", "input": "Problem: 12 times a positive integer is more than its square by 36 , then the positive integer is \nOptions: a ) 6 , b ) 10 , c ) 11 , d ) 12 , e ) 14", "output": [ "a" ] }, { "id": "task1420-22e55142ef4649ee96740f36d3fad527", "input": "Problem: how many times will the digit 5 be written when listing the integers from 1 to 1000 ? \nOptions: a ) 300 , b ) 380 , c ) 180 , d ) 415 , e ) 264", "output": [ "a" ] }, { "id": "task1420-7a9e86fd23cc40d29058d6bdf2c46f2d", "input": "Problem: if | y + 7 | = 12 , what is the sum of all the possible values of y ? \nOptions: a ) - 14 , b ) - 12 , c ) - 8 , d ) 8 , e ) 12", "output": [ "a" ] }, { "id": "task1420-335316d0212f495fbcd6e4569e57feae", "input": "Problem: a bakery has 6 employees . it pays annual salaries of $ 15,000 to each of 2 employees , $ 17,000 to 1 employee , and $ 18,000 to each of the remaining 3 employees . which number is closest to the average ( arithmetic mean ) annual salary of these employees ? \nOptions: a ) $ 16,200 , b ) $ 16,500 , c ) $ 16,800 , d ) $ 17,000 , e ) $ 17,400", "output": [ "c" ] }, { "id": "task1420-5651dd16006742728754ffdf75d3e614", "input": "Problem: in a box of 10 pencils , a total of 2 are defective . if a customer buys 3 pencils selected at random from the box , what is the probability that neither pencils will be defective ? \nOptions: a ) 1 / 12 , b ) 7 / 15 , c ) 2 / 13 , d ) 2 / 15 , e ) 1 / 17", "output": [ "b" ] }, { "id": "task1420-d59cecff52774aa08b7424d91d764917", "input": "Problem: 4 men and 3 women are lined up in a row . what is the number of cases where they stand with each other in turn ? ( the number of cases in which men ( or women ) do not stand next to each other ) \nOptions: a ) 12 , b ) 144 , c ) 18 , d ) 21 , e ) 24", "output": [ "b" ] }, { "id": "task1420-0411af1b3e3148f7aaf484539283df10", "input": "Problem: a & b started a partnership business . a ' s investment was thrice the investment of b and the period of his investment was two times the period of investments of b . if b received rs 7000 as profit , what is their total profit ? \nOptions: a ) 28000 , b ) 30000 , c ) 32000 , d ) 34000 , e ) 49000", "output": [ "e" ] }, { "id": "task1420-c966d2aea0264197a66032b74b48ea54", "input": "Problem: a number is doubled and 4 is added . if the resultant is divided by 5 , it becomes 25 . what is that number ? \nOptions: a ) 73.5 , b ) 68 , c ) 60.5 , d ) none of these , e ) can not be determined", "output": [ "c" ] }, { "id": "task1420-04dafca57f994113895da3dcb52ab9ec", "input": "Problem: what is the units digit of ( 63 ^ 4 ) ( 41 ^ 7 ) ( 99 ^ 9 ) ? \nOptions: a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 9", "output": [ "e" ] }, { "id": "task1420-559effb9b4ca44fe8cb09589d101164e", "input": "Problem: of 70 players on a football team , 31 are throwers . the rest of the team is divided so one third are left - handed and the rest are right handed . assuming that all throwers are right handed , how many right - handed players are there total ? \nOptions: a ) 57 , b ) 59 , c ) 63 , d ) 71 , e ) 92", "output": [ "a" ] }, { "id": "task1420-358c8cd5c28f4b14882d98d424ae7e71", "input": "Problem: what is the 4 digit no . in which the 1 st digit is 1 / 3 of the second , the 3 rd is the sum of the 1 st and 2 nd , and the last is 3 times the second ? \nOptions: a ) 1123 , b ) 1234 , c ) 1349 , d ) 1455 , e ) 1567", "output": [ "c" ] }, { "id": "task1420-3a9832d234b641a18ef84f7319860de8", "input": "Problem: out of 3 consecutive odd numbers 9 times the first number is equal to addition of twice the third number and adding 9 to twice the second . what is the first number ? \nOptions: a ) 20 / 21 , b ) 23 / 25 , c ) 24 / 23 , d ) 22 / 5 , e ) 21 / 5", "output": [ "e" ] }, { "id": "task1420-fb9919ec65d14b9fad8c332640f4d1fa", "input": "Problem: a company has 15 managers and 75 associates . the 15 managers have an average salary of $ 210,000 . the 75 associates have an average salary of $ 30,000 . what is the average salary for the company ? \nOptions: a ) $ 35,000 , b ) $ 45,000 , c ) $ 55,000 , d ) $ 60,000 , e ) $ 75,000", "output": [ "d" ] }, { "id": "task1420-50fbb67d35274af1a911fb2f2039dac3", "input": "Problem: 9 students bought burgers for $ 143 dollars . if the bill has to be divided among these students , how much amount should be added to the amound to make it divided amoung them equally in dollars ( in whole number of dollars ) \nOptions: a ) $ 1 , b ) $ 2 , c ) $ 3 , d ) $ 4 , e ) $ 5", "output": [ "a" ] }, { "id": "task1420-92e542c7f3744cada92788c130b292ad", "input": "Problem: from a total of 3 boys and 4 girls , how many 4 - person committees can be selected if the committee must have exactly 2 boys and 2 girls ? \nOptions: a ) 18 , b ) 24 , c ) 60 , d ) 120 , e ) 240", "output": [ "a" ] }, { "id": "task1420-8ea95a1f26e947deb10f0468014c459a", "input": "Problem: if the average ( arithmetic mean ) of x , x + 2 , and x + 4 is 93 , what is the value of x ? \nOptions: a ) 95 , b ) 91 , c ) 102 , d ) 101 , e ) 85", "output": [ "b" ] }, { "id": "task1420-5962c9c5e2df4782ab74bb000bca77a3", "input": "Problem: the ages of patrick and michael are in the ratio of 3 : 5 and that of michael and monica are in the ratio of 3 : 4 . if the sum of their ages is 132 , what is the difference between the ages of patrick and monica ? \nOptions: a ) 27 , b ) 48 , c ) 45 , d ) 72 , e ) 33", "output": [ "e" ] }, { "id": "task1420-dfdbe47964f5462eb2bf408ca650d95d", "input": "Problem: a no . when divided by 220 gives a remainder 43 , what remainder will beobtained by dividingthe same no . 17 ? \nOptions: a ) 2 , b ) 8 , c ) 9 , d ) 11 , e ) 15", "output": [ "b" ] }, { "id": "task1420-c77876be9b3744a9a61efa1121f460ff", "input": "Problem: linda spent 3 / 4 of her savings on furniture and the rest on a tv . if the tv cost her $ 220 , what were her original savings ? \nOptions: a ) $ 900 , b ) $ 880 , c ) $ 1000 , d ) $ 700 , e ) $ 1500", "output": [ "b" ] }, { "id": "task1420-28baab2bcdd64557a200f0dec016f26f", "input": "Problem: in a class , 20 % of the students were absent for an exam . 30 % failed by 20 marks and 10 % just passed . find the average score of the class if the remaining students scored an average of 65 marks and the cut off for passing the exam is 40 . \nOptions: a ) 36 , b ) 302 , c ) 272 , d ) 292 , e ) 271", "output": [ "a" ] }, { "id": "task1420-a2bbf169250546feb506ae16d5b3ccd2", "input": "Problem: in an office , totally there are 1800 employees and 60 % of the total employees are males . 30 % of the males in the office are at - least 50 years old . find the number of males aged below 50 years ? \nOptions: a ) 756 , b ) 750 , c ) 600 , d ) 760 , e ) none of these", "output": [ "a" ] }, { "id": "task1420-4f2eb9111ade40ff8a770e680307d42c", "input": "Problem: a certain lab experiments with white and brown mice only . in one experiment , 2 / 3 of the mice are white . if there are 11 brown mice in the experiment , how many mice in total are in the experiment ? \nOptions: a ) 39 , b ) 33 , c ) 26 , d ) 21 , e ) 10", "output": [ "b" ] }, { "id": "task1420-92f336d4816f45dd926f7466d810517f", "input": "Problem: amithab ' s average expenditure for the january to june is rs . 4200 and he spends rs . 1200 in january and rs . 1500 in july . the average expenditure for the months of febraury to july is : \nOptions: a ) rs . 4250 , b ) rs . 4288 , c ) rs . 4227 , d ) rs . 4218 , e ) rs . 4219", "output": [ "a" ] }, { "id": "task1420-233c762dd5b74359af0c21678d14d681", "input": "Problem: suppose f ( x ) is an odd function for which f ( x + 2 ) = f ( x ) for all x , and f ( x ) = x 2 for x 2 ( 0 , 1 ) . compute f ( - 3 / 2 ) + f ( 1 ) . \nOptions: a ) - 1 , b ) - 1 / 2 , c ) - 1 / 4 , d ) 1 / 4 , e ) 1 / 2", "output": [ "d" ] }, { "id": "task1420-3a8ec4534870472789602ac283dd460b", "input": "Problem: a certain mixture of nuts consists of 5 parts almonds to 1 parts walnuts , by weight . what is the number of pounds of almonds in 140 pounds of the mixture ? \nOptions: a ) 116 , b ) 84 , c ) 40 , d ) 28 , e ) 20", "output": [ "a" ] }, { "id": "task1420-c9e8c95108a643aaa7219cda79fb2660", "input": "Problem: in a renowned city , the average birth rate is 6 people every two seconds and the death rate is 2 people every two seconds . estimate the size of the population net increase that occurs in one day . \nOptions: a ) 32,300 , b ) 172,800 , c ) 468,830 , d ) 338,200 , e ) 259,200", "output": [ "b" ] }, { "id": "task1420-ffa1015a318745c884550b55ac9ff95b", "input": "Problem: the simple interest on a sum of money will be rs . 600 after 10 years . if the principal is trebled after 5 years , what will be the total interest at the end of the tenth year ? \nOptions: a ) rs . 600 , b ) rs . 900 , c ) 1200 rupees , d ) rs . 1500 , e ) none", "output": [ "c" ] }, { "id": "task1420-001b2c5f31b847f3a8e50e7045165a9e", "input": "Problem: pat , kate , and mark charged a total of 153 hours to a certain project . if pat charged twice as much time to the project as kate and 1 / 3 as much time as mark , how many more hours did mark charge to the project than kate ? \nOptions: a ) 85 , b ) 36 , c ) 72 , d ) 90 , e ) 108", "output": [ "a" ] }, { "id": "task1420-c2c257bfa8d345cab585b17ffa4ffd06", "input": "Problem: how many integerskgreater than 100 and less than 1100 are there such that if the hundreds and the units digits ofkare reversed , the resulting integer is k + 99 ? \nOptions: a ) 50 , b ) 60 , c ) 70 , d ) 80 , e ) 90", "output": [ "e" ] }, { "id": "task1420-4b671e92ca9141448633c3659680f2f8", "input": "Problem: 3 , 5 , 7 , 11 , 13 , 17 , 19 , ____ \nOptions: a ) 25 , b ) 36 , c ) 23 , d ) 49 , e ) 27", "output": [ "c" ] }, { "id": "task1420-6d4057f157ef4c47bfb4224a56245264", "input": "Problem: the sum of the ages of 5 children born at the intervals of 3 years each is 50 years . what is the age of the youngest child ? \nOptions: a ) 4 years , b ) 8 years , c ) 10 years , d ) 12 years , e ) none of these", "output": [ "a" ] }, { "id": "task1420-b45b9f36988a4f9f8ec4ab2a374aaa06", "input": "Problem: given f ( x ) = 3 x – 5 , for what value of x does 2 * [ f ( x ) ] – 10 = f ( x – 2 ) ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "c" ] }, { "id": "task1420-a4b21e805d8f4f9582a566a9f1358087", "input": "Problem: for all numbers a and b , the operation is defined by ab = ( a + 2 ) ( b – 3 ) . if 3 x = – 20 , then x = \nOptions: a ) – 15 , b ) – 6 , c ) 3 , d ) 6 , e ) - 1", "output": [ "e" ] }, { "id": "task1420-fcd12bada28d4466ab5cf19275240f98", "input": "Problem: if the remainder is 15 when the integer n is divided by 28 , what is the remainder when 2 n is divided by 14 ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4", "output": [ "c" ] }, { "id": "task1420-25c2b6bede2f43aba7ea3ab7561131fe", "input": "Problem: what is the units digit of ( 7 ! * 6 ! + 6 ! * 4 ! ) / 2 ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4", "output": [ "a" ] }, { "id": "task1420-bb4bc2881aa04a2dbe13c0d9b012ff30", "input": "Problem: if a ( a - 7 ) = 8 and b ( b - 7 ) = 8 , where a ≠ b , then a + b = \nOptions: a ) − 48 , b ) − 2 , c ) 2 , d ) 7 , e ) 48", "output": [ "d" ] }, { "id": "task1420-4bffa13fdc374e2f9997f7e1a6008c19", "input": "Problem: sowdharya had 90 currency notes in all , some of which are of rs 95 denomination and the remaining of rs 45 denomination . the total amount of all these currency notes was rs . 5000 . how much amount ( in rs ) did she have in the denomination of rs 45 ? \nOptions: a ) 75 , b ) 72 , c ) 71 , d ) 76 , e ) 73", "output": [ "c" ] }, { "id": "task1420-8a24de6d032947ceb050ad238dffbb44", "input": "Problem: mark bought a set of 6 flower pots of different sizes at a total cost of $ 8.00 . each pot cost 0.25 more than the next one below it in size . what was the cost , in dollars , of the largest pot ? \nOptions: a ) $ 1.75 , b ) $ 1.96 , c ) $ 2.00 , d ) $ 2.15 , e ) $ 2.30", "output": [ "b" ] }, { "id": "task1420-d0a9e337f0234ccba7e60fb5200a6e73", "input": "Problem: right triangle pqr is to be constructed in the xy - plane so that the right angle is at p and pr is parallel to the x - axis . the x - and y - coordinates of p , q and r are to be integers that satisfy the inequalities - 4 < = x < = 5 and 6 < = y < = 16 . how many different triangles with these properties could be constructed ? \nOptions: a ) 110 , b ) 1100 , c ) 9900 , d ) 10000 , e ) 12100", "output": [ "c" ] }, { "id": "task1420-a18f806b56bc4383bcf589c7d731286b", "input": "Problem: if x is 40 percent greater than 88 , then x = \nOptions: a ) 68 , b ) 70.4 , c ) 123.2 , d ) 105.6 , e ) 108", "output": [ "c" ] }, { "id": "task1420-ac6ad8912aab44b8bf8d51fceec20ee6", "input": "Problem: if a ( a - 4 ) = 5 and b ( b - 4 ) = 5 , where a ≠ b , then a + b = \nOptions: a ) − 48 , b ) − 4 , c ) 4 , d ) 9 , e ) 48", "output": [ "c" ] }, { "id": "task1420-499fab745f3e4873bdb15b2fa5234161", "input": "Problem: a soccer store typically sells replica jerseys at a discount of 30 percent to 50 percent off list price . during the annual summer sale , everything in the store is an additional 20 percent off the original list price . if a replica jersey ' s list price is $ 80 , approximately what w percent of the list price is the lowest possible sale price ? \nOptions: a ) 20 , b ) 25 , c ) 30 , d ) 40 , e ) 50", "output": [ "d" ] }, { "id": "task1420-67ee052f6cd8463b802ec384c6c5e659", "input": "Problem: there are 60 supermarkets in the fgh chain . all of them are either in the us or canada . if there are 14 more fgh supermarkets in the us than in canada , how many fgh supermarkets are there in the us ? \nOptions: a ) 20 , b ) 37 , c ) 42 , d ) 53 , e ) 64", "output": [ "b" ] }, { "id": "task1420-15e5929fd148478094d5654ac833edf9", "input": "Problem: if x # y is defined to equal x ^ 2 / y for all x and y , then ( - 1 # 2 ) # 2 = \nOptions: a ) 4 / 3 , b ) 1 / 3 , c ) 1 / 12 , d ) 1 / 8 , e ) - 4 / 3", "output": [ "d" ] }, { "id": "task1420-1e965031eb2140f3b7ed512e4a35ac86", "input": "Problem: a dishonest dealer claims to sell a product at its cost price . he uses a counterfeit weight which is 20 % less than the real weight . further greed overtook him and he added 15 % impurities to the product . find the net profit percentage of the dealer ? \nOptions: a ) 46.85 % , b ) 43.75 % , c ) 50 % , d ) 56.25 % , e ) 36 %", "output": [ "b" ] }, { "id": "task1420-5ef543614659401e83b9958d9f8fb1cb", "input": "Problem: a certain list consists of 21 different numbers . if n is in the list and n is 5 times the average ( arithmetic mean ) of the other 20 numbers in the list , then n is what fraction of the sum of the 21 numbers in the list ? \nOptions: a ) 1 / 20 , b ) 1 / 6 , c ) 1 / 5 , d ) 4 / 21 , e ) 5 / 21", "output": [ "c" ] }, { "id": "task1420-d5166e585ca143d6af057280773add10", "input": "Problem: an engineer designed a ball so that when it was dropped , it rose with each bounce exactly one - half as high as it had fallen . the engineer dropped the ball from a 16 - meter platform and caught it after it had traveled 44 meters . how many times did the ball bounce ? \nOptions: a ) 5 , b ) 6 , c ) 7 , d ) 3 , e ) 9", "output": [ "d" ] }, { "id": "task1420-1fb99b41c5b74aed81b635b88c79e312", "input": "Problem: drum x is 1 / 2 full of oil and drum y , which has twice the capacity of drum x , is 1 / 5 full of oil . if all of the oil in drum x is poured into drum y , then drum y will be filled to what capacity ? \nOptions: a ) 3 / 10 , b ) 7 / 10 , c ) 9 / 10 , d ) 9 / 20 , e ) 13 / 20", "output": [ "d" ] }, { "id": "task1420-786d7ccdc0044c4687bb4ea534bbd634", "input": "Problem: a certain company expects quarterly earnings of $ 0.80 per share of stock , half of which will be distributed as dividends to shareholders while the rest will be used for research and development . if earnings are greater than expected , shareholders will receive an additional $ 0.04 per share for each additional $ 0.10 of per share earnings . if quarterly earnings are $ 1.10 per share , what will be the dividend paid to a person who owns 600 shares of the company ' s stock ? \nOptions: a ) $ 92 , b ) $ 312 , c ) $ 104 , d ) $ 120 , e ) $ 240", "output": [ "b" ] }, { "id": "task1420-540ed7d5ed824ee49d788105c3748cca", "input": "Problem: in a recent election , james received 0.5 percent of the 2,000 votes cast . to win the election , a candidate needed to receive more than 50 percent of the vote . how many additional votes would james have needed to win the election ? \nOptions: a ) 901 , b ) 989 , c ) 990 , d ) 991 , e ) 1,001", "output": [ "d" ] }, { "id": "task1420-a7f700677c1e413b98d4d7c2afb2d183", "input": "Problem: in a room filled with 7 people , 3 people have exactly 1 sibling in the room and 4 people have exactly 2 siblings in the room . if two individuals are selected from the room at random , what is the probability that those two individuals are not siblings ? \nOptions: a ) 5 / 21 , b ) 3 / 7 , c ) 4 / 7 , d ) 5 / 7 , e ) 13 / 21", "output": [ "e" ] }, { "id": "task1420-f6f9ce40145d4bedba82d47fb9fdcea0", "input": "Problem: in arun ’ s opinion , his weight is greater than 65 kg but less than 72 kg . his brother doest not agree with arun and he thinks that arun ’ s weight is greater than 60 kg but less than 70 kg . his mother ’ s view is that his weight can not be greater than 68 kg . if all are them are correct in their estimation , what is the average of different probable weights of arun ? \nOptions: a ) 66 kg , b ) 67 kg , c ) 68 kg , d ) 69 kg , e ) none of these", "output": [ "b" ] }, { "id": "task1420-ddfdbc38c91842d5bd8c4132f227fd4e", "input": "Problem: at veridux corporation , there are 215 employees . of these , 90 are female , and the rest are males . there are a total of 40 managers , and the rest of the employees are associates . if there are a total of 135 male associates , how many female managers are there ? \nOptions: a ) 50 , b ) 20 , c ) 25 , d ) 30 , e ) 35", "output": [ "a" ] }, { "id": "task1420-3b42c9e19540447e9ea09d983ee99dcd", "input": "Problem: a vendor sells 50 percent of the apples he had and throws away 20 percent of the remainder . the next day , the vendor sells 50 percent of the remaining apples and throws away the rest . in total , what percent of his apples does the vendor throw away ? \nOptions: a ) 30 , b ) 35 , c ) 40 , d ) 45 , e ) 50", "output": [ "a" ] }, { "id": "task1420-48b8ade7e3dc4d4cb3044702bc9c6891", "input": "Problem: two equally sized jugs full of water are each emptied into two separate unequally sized empty jugs , x and y . now , jug x is 1 / 5 full , while jug y is 4 / 7 full . if water is poured from jug x into jug y until jug y is filled , what fraction of jug x then contains water ? \nOptions: a ) 0 , b ) 1 / 15 , c ) 2 / 15 , d ) 1 / 20 , e ) 2 / 10", "output": [ "d" ] }, { "id": "task1420-266da56cba65433d801f00951553592d", "input": "Problem: there are 6 chess amateurs playing in villa ' s chess club tournament . if each chess amateur plays with exactly 15 other amateurs , what is the total number of chess games possible to be played in the tournament ? \nOptions: a ) 10 , b ) 20 , c ) 45 , d ) 60 , e ) 120", "output": [ "c" ] }, { "id": "task1420-daf44f7a61c9439b87ea0bdf0103dcd3", "input": "Problem: a , b and c started a business with a total investment of rs . 72000 . a invests rs . 6000 more than b and b invests rs . 3000 less than c . if the total profit at the end of a year is rs . 8640 , find c ' s share . \nOptions: a ) rs . 3240 , b ) rs . 2520 , c ) rs . 2880 , d ) rs . 3360 , e ) none of these", "output": [ "c" ] }, { "id": "task1420-88e5bfabe04648f08819dbc257eec580", "input": "Problem: a no . when divided by 142 gives a remainder 110 , what remainder will be obtainedby dividingthe same no . 14 ? \nOptions: a ) 16 , b ) 17 , c ) 18 , d ) 19 , e ) 20", "output": [ "c" ] }, { "id": "task1420-7d54156acd1b4a1bbac1d8ff889e9b45", "input": "Problem: in a room with 10 people , 7 people have exactly 1 friend in the room and 6 people have exactly 2 friends in the room ( assuming that friendship is a mutual relationship , i . e . if jane is paul ' s friend , paul is jane ' s friend ) . if two individuals are selected from the room at random , what is the probability that those two individuals are not friends ? \nOptions: a ) 5 / 21 , b ) 3 / 7 , c ) 4 / 7 , d ) 5 / 7 , e ) 49 / 45", "output": [ "e" ] }, { "id": "task1420-2d79b8435c39494289377168448ace21", "input": "Problem: the price of lunch for 12 people was $ 207 including a 15 % gratuity for service . what was the average price per person , excluding the gratuity ? \nOptions: a ) 11.73 , b ) 12 , c ) 13.8 , d ) 14 , e ) 15", "output": [ "e" ] }, { "id": "task1420-200f8d0d424f4189914795acecbfcb63", "input": "Problem: how many different values of positive integer x , for which | x + 9 | < x , are there ? \nOptions: a ) 0 , b ) 2 , c ) 3 , d ) 8 , e ) 16", "output": [ "c" ] }, { "id": "task1420-07d0b4ed75a1466db06ce81a449165c7", "input": "Problem: ( 128.5 x 60 ) + ( 13.8 x 65 ) = ? x 25 \nOptions: a ) 524.48 , b ) 344.28 , c ) 574.36 , d ) 585.64 , e ) 595.46", "output": [ "b" ] }, { "id": "task1420-00030d6055114cef88d8b656b8dd02c6", "input": "Problem: x and y are both integers . if x / y = 59.80 , then what is the sum of all the possible two digit remainders of x / y ? \nOptions: a ) 560 , b ) 616 , c ) 672 , d ) 200 , e ) 1024", "output": [ "d" ] }, { "id": "task1420-cfb6ffb5ca03496287df4563c60a16c6", "input": "Problem: in the hillside summer camp there are 60 children . 90 % of the children are boys and the rest are girls . the camp administrator decided to make the number of girls only 5 % of the total number of children in the camp . how many more boys must she bring to make that happen ? \nOptions: a ) 50 . , b ) 45 . , c ) 40 . , d ) 60 . , e ) 25 .", "output": [ "d" ] }, { "id": "task1420-dd03794b0fed4591af6bab83efa2d3c4", "input": "Problem: a sum of money is to be distributed among a , b , c , d in the proportion of 5 : 2 : 4 : 3 . if c gets 1000 more than d , what is b ’ s share ? \nOptions: a ) 500 , b ) 1500 , c ) 2000 , d ) 1400 , e ) none of these", "output": [ "c" ] }, { "id": "task1420-215d0655bb9f4916beac407b160f3ba3", "input": "Problem: how many integers from 40 to 200 , inclusive , are divisible by 3 but not divisible by 7 ? \nOptions: a ) 20 , b ) 31 , c ) 35 , d ) 40 , e ) 45", "output": [ "e" ] }, { "id": "task1420-51b519da022d4277b697428123808338", "input": "Problem: find large number from below question the difference of two numbers is 2415 . on dividing the larger number by the smaller , we get 21 as quotient and the 15 as remainder \nOptions: a ) 1209 , b ) 1324 , c ) 1245 , d ) 1300 , e ) 2535", "output": [ "e" ] }, { "id": "task1420-faf3dd811c834d58b31dc531573d9685", "input": "Problem: on a partly cloudy day , derek decides to walk back from work . when it is sunny , he walks at a speed of s miles / hr ( s is an integer ) and when it gets cloudy , he increases his speed to ( s + 1 ) miles / hr . if his average speed for the entire distance is 2.8 miles / hr , what fraction r of the total distance did he cover while the sun was shining on him ? \nOptions: a ) 1 / 4 , b ) 4 / 5 , c ) 1 / 5 , d ) 1 / 6 , e ) 1 / 7", "output": [ "e" ] }, { "id": "task1420-6f2294f8fe4b4d3eb2a8f82f8953f214", "input": "Problem: what is the remainder when you divide 2 ^ 200 - 2 by 7 ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "b" ] }, { "id": "task1420-feaa1c905f8a42239c9f59fcfa26c387", "input": "Problem: a person was asked to subtract 25 % of a number from the original but he subtracted 25 from the number . his answer was 25 more than correct one . what was the original number ? \nOptions: a ) 288 , b ) 266 , c ) 288 , d ) 200 , e ) 111", "output": [ "d" ] }, { "id": "task1420-04a0f2d6702e4858a2a3d4cf4d8e7c64", "input": "Problem: a movie buff owns movies on dvd and on blu - ray in a ratio of 7 : 2 . if she buys 5 more blu - ray movies , that ratio would change to 13 : 4 . if she owns movies on no other medium , what was the original number of movies in her library before the extra purchase ? \nOptions: a ) 22 , b ) 28 , c ) 77 , d ) 99 , e ) 351", "output": [ "e" ] }, { "id": "task1420-4c8fdce98162454892ab034ccccc3267", "input": "Problem: there are certain number of hats and gloves in a box . they are of 41 red , 23 green , 11 orange . power gone but a woman can differentiate between hats and gloves . how many draws are required to obtain a pair of each color ? \nOptions: a ) 66 , b ) 67 , c ) 68 , d ) 69 , e ) 70", "output": [ "a" ] }, { "id": "task1420-731d87f27cee44bda88841b8e7d21cc5", "input": "Problem: in the xy - coordinate system , if ( m , n ) and ( m + 5 , n + k ) are two points on the line with the equation x = 2 y + 5 , then k = \nOptions: a ) 1 / 2 , b ) 1 , c ) 2 , d ) 5 / 2 , e ) 4", "output": [ "d" ] }, { "id": "task1420-41a3a8ca9e434c7db0be115bd3421095", "input": "Problem: the average monthly salary of 8 workers and one supervisor in a factory was 430 . @ sswhen @ ssthe @ sssupervisor @ cc @ sswhose @ sssalary @ sswas @ ss 430 . @ sswhen @ ssthe @ sssupervisor @ cc @ sswhose @ sssalary @ sswas @ ss 430 . whenthesupervisor , whosesalarywas 430 . when the supervisor , whose salary was 870 per month , retired , a new person was appointed and then the average salary of 9 people was $ $ 420 per month . the salary of the new supervisor is : \nOptions: a ) 233 , b ) 600 , c ) 287 , d ) 780 , e ) 191", "output": [ "d" ] }, { "id": "task1420-5c84192df14041ed945ed812df864bdb", "input": "Problem: the contents of a certain box consist of 24 oranges and 30 kiwis . how many kiwis must be added to the box so that exactly 30 % of the pieces of fruit in the box will be oranges ? \nOptions: a ) 24 , b ) 26 , c ) 30 , d ) 46 , e ) 50", "output": [ "b" ] }, { "id": "task1420-62102d6904694c138b5527f50f24eaa9", "input": "Problem: a number when divided by a certain divisor left remainder 241 , when twice the number was divided by the same divisor , the remainder was 115 . find the divisor ? \nOptions: a ) 370 , b ) 365 , c ) 380 , d ) 367 , e ) 460", "output": [ "d" ] }, { "id": "task1420-8c09e3442a0b4caeaded3bec681c6caa", "input": "Problem: company z has 61 employees . if the number of employees having birthdays on wednesday is more than the number of employees having birthdays on any other day of the week , each of which have same number of birth - days , what is the minimum number of employees having birthdays on wednesday . \nOptions: a ) 6 , b ) 7 , c ) 13 , d ) 9 , e ) 12", "output": [ "c" ] }, { "id": "task1420-7e16f27de574496d83fafca8374942fa", "input": "Problem: find the least number which when divided by 38 and 3 leaves a remainder of 1 in each case . \nOptions: a ) 107 , b ) 109 , c ) 111 , d ) 113 , e ) 115", "output": [ "e" ] }, { "id": "task1420-2809fd9cb99446d2a40bd0569f3709d1", "input": "Problem: carina has 130 ounces of coffee divided into 5 - and 10 - ounce packages . if she has 2 more 5 - ounce packages than 10 - ounce packages , how many 10 - ounce packages does she have ? \nOptions: a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 9", "output": [ "d" ] }, { "id": "task1420-b47278b8c6f843008c1eba63d0917735", "input": "Problem: an amount of rs . 1638 was divided among a , b and c , in the ratio 1 / 2 : 1 / 3 : 1 / 4 . find the share of c ? \nOptions: a ) 386 , b ) 378 , c ) 396 , d ) 395 , e ) 394", "output": [ "b" ] }, { "id": "task1420-f3caa26a58c24283a6b9116b5810b59a", "input": "Problem: if a 10 percent deposit that has been paid toward the purchase of a certain product is $ 80 , how much more remains to be paid ? \nOptions: a ) $ 640 , b ) $ 680 , c ) $ 720 , d ) $ 760 , e ) $ 800", "output": [ "c" ] }, { "id": "task1420-1a1d8ef407a848339754b9c424605685", "input": "Problem: the age of somu is one - third his father ' s . 6 years back he was one - fifth of his father ' s age . what is his persent age ? \nOptions: a ) 11 , b ) 13 , c ) 14 , d ) 12 , e ) 10", "output": [ "d" ] }, { "id": "task1420-c8fe61f24f7b4c729b848e429ad37003", "input": "Problem: when a student joe , weighing 44 kg , joins a group of students whose average weight is 30 kg , the average weight goes up by 1 kg . subsequently , if two students , excluding joe , leave the group the average weight comes back to 30 kg . what is the difference between the average weight of the two students who left and the weight of joe ? \nOptions: a ) 5.5 kg , b ) 11 kg , c ) 30 kg , d ) 36.5 kg , e ) 7 kg", "output": [ "e" ] }, { "id": "task1420-3e68c31f0f904c98ac066f8d917c286b", "input": "Problem: find large number from below question the difference of two numbers is 1365 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder ? \nOptions: a ) 1234 , b ) 1540 , c ) 1650 , d ) 1632 , e ) 1635", "output": [ "e" ] }, { "id": "task1420-a14a1ee7d7424334b01a67d507d156b5", "input": "Problem: 3 positive integers a , b , and c are such that their average is 20 and a ≤ b ≤ c . if the median is ( a + 13 ) , what is the least possible value of c ? \nOptions: a ) 21 , b ) 22 , c ) 23 , d ) 24 , e ) 25", "output": [ "e" ] }, { "id": "task1420-da6ae64176a04da38575fe9361128510", "input": "Problem: if the average ( arithmetic mean ) of x , x + 2 , and x + 4 is 73 , what is the value of x ? \nOptions: a ) 71 , b ) 75 , c ) 85 , d ) 83 , e ) 82", "output": [ "a" ] }, { "id": "task1420-87633d2f0b894453b06c719763361b50", "input": "Problem: 20 % of major airline companies equip their planes with wireless internet access . 70 % of major airlines offer passengers free on - board snacks . what is the greatest possible percentage of major airline companies that offer both wireless internet and free on - board snacks ? \nOptions: a ) 20 % , b ) 30 % , c ) 40 % , d ) 70 % , e ) 90 %", "output": [ "a" ] }, { "id": "task1420-3155c9f18b2e40ab91f30b5da264570b", "input": "Problem: the smallest number which when diminished by 9 , is divisible 13 , 26 , 39 , 52 and 65 is : \nOptions: a ) 789 , b ) 769 , c ) 790 , d ) 787 , e ) 788", "output": [ "a" ] }, { "id": "task1420-f6f46f54bac0488c948e4aa02fe515e6", "input": "Problem: there are a total of 100 jars on the shelf . small jars hold 3 liters and large jars hold 5 liters . the jars can hold a total of 376 liters . how many small jars are on the shelf ? \nOptions: a ) 49 , b ) 53 , c ) 56 , d ) 59 , e ) 62", "output": [ "e" ] }, { "id": "task1420-2b65a24d829b437db07b1b4f57532352", "input": "Problem: what is the remainder when ( 63 ) ( 65 ) is divided by 8 ? \nOptions: a ) 1 , b ) 2 , c ) 4 , d ) 5 , e ) 7", "output": [ "e" ] }, { "id": "task1420-a88b69a69c314ad28a2179c8f6cb316d", "input": "Problem: linda spent 3 / 5 of her savings on furniture and the rest on a tv . if the tv cost her $ 400 , what were her original savings ? \nOptions: a ) $ 900 , b ) $ 300 , c ) $ 600 , d ) $ 1000 , e ) $ 800", "output": [ "d" ] }, { "id": "task1420-570606118ac44f24993a420e7a0e8bad", "input": "Problem: the average of first 15 natural numbers is ? \nOptions: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11", "output": [ "b" ] }, { "id": "task1420-fb3ff06d1b2f47d8a32a8aca1dd3c98a", "input": "Problem: what is the 20 - fourth decimal to the right in the fraction 35 / 36 ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "b" ] }, { "id": "task1420-99391ffaf7e44fc49bdd4490afa14caa", "input": "Problem: 69 laboratories raise the bacterium , the laboratory have 48 culture dishes on average , which has about 25,075 bacteria each . how many bacteria are there approximately ? \nOptions: a ) 10 ^ 7 , b ) 10 ^ 8 , c ) 10 ^ 9 , d ) 10 ^ 10 , e ) 10 ^ 11", "output": [ "a" ] }, { "id": "task1420-9ccbb61223c44257b2f4c3efdb2b0a8c", "input": "Problem: 4 milkmen rented a pasture . a grazed 24 cows for 3 months , b 10 cows for 5 months , c 35 cows for 4 months and d 21 cows for 3 months . if a ’ s share of rent is rs . 720 , find the total rent of the field . \nOptions: a ) rs . 3250 , b ) rs . 3350 , c ) rs . 3450 , d ) rs . 3550 , e ) rs . 3650", "output": [ "a" ] }, { "id": "task1420-746d91f7200344e291de025b8b901f45", "input": "Problem: find the number which when multiplied by 15 is increased by 196 \nOptions: a ) 10 , b ) 12 , c ) 14 , d ) 16 , e ) 17", "output": [ "c" ] }, { "id": "task1420-07176695e8b148b490302b887b06814a", "input": "Problem: 14 . the sum and the product of two numbers are 25 and 144 respectively , the difference of the number is ? \nOptions: a ) 7 , b ) 9 , c ) 8 , d ) 5 , e ) 4", "output": [ "a" ] }, { "id": "task1420-fe1753d1dd2446aba9b3cd7644fa5163", "input": "Problem: it takes 3 workers a total of 15 hours to build a giant machine with each worker working at the same rate . if 5 workers start to build the machine at 11 : 00 am , and one extra worker per hour is added beginning at 1 : 00 pm , at what time will the machine be complete ? \nOptions: a ) 4 : 30 , b ) 4 : 45 , c ) 5 : 00 , d ) 5 : 15 , e ) 5 : 30", "output": [ "e" ] }, { "id": "task1420-a1ceb08b0d28484ca9ed220e677d10c8", "input": "Problem: in 1979 approximately 1 / 3 of the 38.3 million airline passengers traveling to or from the united states used kennedy airport . if the number of such passengers that used miami airport was 1 / 2 the number that used kennedy airport and 4 times the number that used logan airport , approximately how many millions of these passengers used logan airport that year ? \nOptions: a ) 18.6 , b ) 9.3 , c ) 6.2 , d ) 3.1 , e ) 1.6", "output": [ "e" ] }, { "id": "task1420-ec32c6258ab943b2b1551b69e37d7691", "input": "Problem: a satellite is composed of 30 modular units , each of which is equipped with a set of sensors , some of which have been upgraded . each unit contains the same number of non - upgraded sensors . if the number of non - upgraded sensors on one unit is 1 / 6 the total number of upgraded sensors on the entire satellite , what fraction of the sensors on the satellite have been upgraded ? \nOptions: a ) 5 / 6 , b ) 1 / 5 , c ) 1 / 6 , d ) 1 / 7 , e ) 1 / 24", "output": [ "c" ] }, { "id": "task1420-de2cb90467be47978e3268d39f1351c0", "input": "Problem: the average expenditure of a labourer for 6 months was 75 and he fell into debt . in the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30 . his monthly income i \nOptions: a ) 70 , b ) 72 , c ) 75 , d ) 78 , e ) 80", "output": [ "b" ] }, { "id": "task1420-1d59c754e45b48d08af0424e1ea96ae2", "input": "Problem: the average weight of a , b , c is 45 kg . the avgwgt of a & b be 40 kg & that of b , c be 43 kg . find the wgt of b . \nOptions: a ) 23 , b ) 43 , c ) 21 , d ) 31 , e ) 43", "output": [ "d" ] }, { "id": "task1420-0c9bc1b7a7bc4381b4b0cf0ab0392a23", "input": "Problem: in a group of ducks and cows , the total number of legs are 34 more than twice the no . of heads . find the total no . of buffaloes . \nOptions: a ) 11 , b ) 12 , c ) 14 , d ) 17 , e ) 18", "output": [ "d" ] }, { "id": "task1420-bb918889c5674099bff442affc046d45", "input": "Problem: the visitors of a modern art museum who watched a certain picasso painting were asked to fill in a short questionnaire indicating whether they had enjoyed looking at the picture and whether they felt they had understood it . according to the results of the survey , all 130 visitors who did not enjoy the painting also did not feel they had understood the painting , and the number of visitors who enjoyed the painting was equal to the number of visitors who felt they had understood the painting . if 3 / 4 of the visitors who answered the questionnaire both enjoyed the painting and felt they had understood the painting , then how many visitors answered the questionnaire ? \nOptions: a ) 90 , b ) 120 , c ) 160 , d ) 360 , e ) 520", "output": [ "e" ] }, { "id": "task1420-42502482116e45c79e33e34249a34c6c", "input": "Problem: if the operation ø is defined for all positive integers x and w by x ø w = ( 2 ^ x ) / ( 2 ^ w ) then ( 3 ø 1 ) ø 1 = ? \nOptions: a ) 2 , b ) 4 , c ) 8 , d ) 16 , e ) 32", "output": [ "c" ] }, { "id": "task1420-2df29936aaff4183a8506d6360d8bf4f", "input": "Problem: george went to a fruit market with certain amount of money . with this money he can buy either 50 oranges or 40 mangoes . he retains 8 % of the money for taxi fare and buys 20 mangoes . how many oranges can he buy ? \nOptions: a ) 21 , b ) 30 , c ) 20 , d ) 16 , e ) 12", "output": [ "a" ] }, { "id": "task1420-10998cc53439438fa9c29166b90b2cef", "input": "Problem: the no 2.52 , when written as a fraction and reduced to lowest terms , the sum of the numeratr n denominator is : \nOptions: a ) 7 , b ) 141 , c ) 29 , d ) 349 , e ) 359", "output": [ "d" ] }, { "id": "task1420-43caf475ebd84e998aeab32eee93f671", "input": "Problem: when greenville state university decided to move its fine arts collection to a new library , it had to package the collection in 20 - inch by 20 - inch by 15 - inch boxes . if the university pays $ 1.20 for every box , and if the university needs 3.06 million cubic inches to package the collection , what is the minimum amount the university must spend on boxes ? \nOptions: a ) $ 255 , b ) $ 275 , c ) $ 510 , d ) $ 612 , e ) $ 2,550", "output": [ "d" ] }, { "id": "task1420-fa32858aa56041c3afc834e67726e894", "input": "Problem: 1 = 5,2 = 25,3 = 253,4 = 150,5 = 225 then 150 = ? \nOptions: a ) 1 , b ) 255 , c ) 4 , d ) 445 , e ) 235", "output": [ "c" ] }, { "id": "task1420-0b676c9f480c43e6a7855a992c8c41c2", "input": "Problem: at company x , senior sales representatives visit the home office once every 12 days , and junior sales representatives visit the home office once every 8 days . the number of visits that a junior sales representative makes in a 2 - year period is approximately what percent greater than the number of visits that a senior representative makes in the same period ? \nOptions: a ) 10 % , b ) 25 % , c ) 33 % , d ) 50 % , e ) 67 %", "output": [ "d" ] }, { "id": "task1420-b907068bd3334fd6a16f131c04be6323", "input": "Problem: find the smallest number which leaves 2235 , 48 and 61 as remainders when divided by 26 , 39 , 52 and 65 respectively . \nOptions: a ) 67 , b ) 26 , c ) 99 , d ) 26 , e ) 91", "output": [ "d" ] }, { "id": "task1420-5016e7471e394c6995cf2d815bb2e6f6", "input": "Problem: in an ngo the daily average wages of 20 illiterate employees is decreased from rs . 25 to rs . 10 , thus the average salary of all the literate and illiterate employees is decreased rs . 10 per day . the no . of educated employees working in the ngo is : \nOptions: a ) 12 , b ) 11 , c ) 10 , d ) 27 , e ) 22", "output": [ "c" ] }, { "id": "task1420-73210529487940069cfcc005f0e7ce37", "input": "Problem: 5 / 8 of 3 / 10 of a number is greater than 4 / 9 of 1 / 4 of the same number by 55 . what is half of that number ? \nOptions: a ) 310 , b ) 312 , c ) 320 , d ) 314 , e ) 360", "output": [ "e" ] }, { "id": "task1420-956dac708470464e9063b66f0a1caf24", "input": "Problem: a sum of money is to be distributed among a , b , c , d in the proportion of 5 : 2 : 4 : 3 . if c gets rs . 2000 more than d , what is b ' s share ? \nOptions: a ) a ) 4000 , b ) b ) 2900 , c ) c ) 2000 , d ) d ) 2393 , e ) e ) 2009", "output": [ "a" ] }, { "id": "task1420-9ccb33d39ca3423496b3e2ae1c1a8147", "input": "Problem: if one person completes a journey in 10 hrs . he travels 1 st half of the journey at the rate of 21 km / hr and 2 nd half at therate of 24 km / hr . find the total journey in km . \nOptions: a ) 200 km , b ) 212 km , c ) 224 km , d ) 230 km , e ) 256 km", "output": [ "c" ] }, { "id": "task1420-ebc5e53b6a6247f49dcca16eb107cdfa", "input": "Problem: the average age of students of a class is 15.8 years . the average age of boys in the class is 16.4 years and that of the girls is 15.4 years , the ratio of the number of boys to the number of girls in the class is \nOptions: a ) 7 : 3 , b ) 2 : 3 , c ) 9 : 3 , d ) 6 : 3 , e ) 2 : 5", "output": [ "b" ] }, { "id": "task1420-3f9aeef09d7c4546af6d794ffee0d6da", "input": "Problem: if all the 6 are replaced by 9 , then the algebraic sum of all the numbers from 1 to 100 ( both inclusive ) varies by how much ? \nOptions: a ) 330 , b ) 360 , c ) 380 , d ) 400 , e ) 420", "output": [ "a" ] }, { "id": "task1420-3f8900737f8a43689cdb9f74f7882a40", "input": "Problem: a mathematics teacher tabulated the marks secured by 35 students of 8 th class . the average of their marks was 72 . if the marks secured by reema was written as 35 instead of 99 then find the correct average marks up to two decimal places . \nOptions: a ) 73.41 , b ) 74.31 , c ) 72.43 , d ) 73.43 , e ) 73.82", "output": [ "e" ] }, { "id": "task1420-b18b8537582247288c118ac3186baca2", "input": "Problem: when y is divided by 264 , the remainder is 42 . what is the remainder when the same y is divided by 22 ? \nOptions: a ) 12 , b ) 14 , c ) 16 , d ) 18 , e ) 20", "output": [ "e" ] }, { "id": "task1420-621363adbfc247ac9ed9387817a67030", "input": "Problem: find the least number which when divided by 26 , 36 and 46 leaves the remainders 12 , 22 and 32 respectively . \nOptions: a ) 10570 , b ) 10750 , c ) 17050 , d ) 10075 , e ) 10085", "output": [ "b" ] }, { "id": "task1420-e7d3d6ee4b674fb8892711d9674c6195", "input": "Problem: the sum of the first 50 positive even integers is 2550 . what is the sum of the even integers from 502 to 600 inclusive ? \nOptions: a ) 23,550 , b ) 27,550 , c ) 31,550 , d ) 35,550 , e ) 39,550", "output": [ "b" ] }, { "id": "task1420-e46a826f76a949e4862eaf599ead3b09", "input": "Problem: if x is an integer such that 0 < x < 12 , 1 < x < 15 , 10 > x > 5 , 11 > x > 8 , and x + 2 < 12 , then x is \nOptions: a ) 3 , b ) 5 , c ) 7 , d ) 9 , e ) 11", "output": [ "d" ] }, { "id": "task1420-4cf2e3d83c9547a9bf9338c1b6259b06", "input": "Problem: a man performs 3 / 5 of the total journey by rail , 17 / 20 by bus and the remaining 6.5 km on foot . his total journey is ? \nOptions: a ) 130 , b ) 152 , c ) 225 , d ) 260 , e ) 180", "output": [ "a" ] }, { "id": "task1420-522eaabcb5284d7da95e2cc5b3771049", "input": "Problem: if it takes a tub 5 minutes to drain 5 / 7 of its content , how much more time will it take for the tub to be empty ? \nOptions: a ) 48 seconds , b ) 1 minute , 12 seconds , c ) 1 minute , 50 seconds , d ) 2 minutes , 00 seconds , e ) 4 minutes , 12 seconds", "output": [ "d" ] }, { "id": "task1420-67c949b0e9ff452a94516de5f0d72d65", "input": "Problem: a box contains 14 pairs of shoes ( 28 shoes in total ) . if two shoes are selected at random , what it is the probability that they are matching shoes ? \nOptions: a ) 1 / 190 , b ) 1 / 20 , c ) 1 / 19 , d ) 1 / 27 , e ) 1 / 9", "output": [ "d" ] }, { "id": "task1420-33b6e9e07b574c0e8e93d2a78de42e86", "input": "Problem: a bakery has 6 employees . it pays annual salaries of $ 16,000 to each of 2 employees , $ 18,000 to 1 employee , and $ 19,000 to each of the remaining 3 employees . which number is closest to the average ( arithmetic mean ) annual salary of these employees ? \nOptions: a ) $ 17,200 , b ) $ 17,500 , c ) $ 17,800 , d ) $ 18,000 , e ) $ 18,400", "output": [ "c" ] }, { "id": "task1420-e6287ae25e064f918031dd13ea90ac4b", "input": "Problem: 3 students appear at an examination of mathematics . the probability of their success are 1 / 2 , 1 / 4 , 1 / 5 respectively . find the probability of success of at least two . \nOptions: a ) 1 / 60 , b ) 2 / 50 , c ) 9 / 40 , d ) 3 / 40 , e ) 4 / 50", "output": [ "c" ] }, { "id": "task1420-48dacd97ba244e4286a427a106553f25", "input": "Problem: a certain box has 11 cards and each card has one of the integers from 1 to 11 inclusive . each card has a different number . if 2 different cards are selected at random , what is the probability that the sum of the numbers written on the 2 cards is less than the average ( arithmetic mean ) of all the numbers written on the 11 cards ? \nOptions: a ) 1 / 11 , b ) 2 / 11 , c ) 2 / 33 , d ) 4 / 55 , e ) 5 / 66", "output": [ "d" ] }, { "id": "task1420-594fc865a05e4b92b50575710b23e204", "input": "Problem: what is the sum of the integers from - 185 to 195 inclusive ? \nOptions: a ) 0 , b ) 5 , c ) 375 , d ) 1905 , e ) 965", "output": [ "d" ] }, { "id": "task1420-fce945027b43415dba35b908634d7498", "input": "Problem: if the number is divided by 3 , it reduced by 30 . the number is \nOptions: a ) a ) 51 , b ) b ) 50 , c ) c ) 45 , d ) d ) 40 , e ) e ) 36", "output": [ "c" ] }, { "id": "task1420-80692c66018a477e9e9d92cf5f930339", "input": "Problem: a car travels uphill at 30 km / hr and downhill at 50 km / hr . it goes 100 km uphill and 50 km downhill . find the average speed of the car ? \nOptions: a ) 32 kmph , b ) 33 kmph , c ) 34 kmph , d ) 35 kmph , e ) 36 kmph", "output": [ "d" ] }, { "id": "task1420-195b7cb3f708404ea562fc0baa32e095", "input": "Problem: the tax on a commodity is diminished by 32 % but its consumption is increased by 12 % . find the decrease percent in the revenue derived from it ? \nOptions: a ) 20 % , b ) 18 % , c ) 15 % , d ) 12 % , e ) 24 %", "output": [ "e" ] }, { "id": "task1420-72b1e374f50f4eb5a30561b7108f274a", "input": "Problem: if a certain number x is divided by 82 , the reminder is 5 . what is the reminder when x + 3 is divided by 41 ? \nOptions: a ) 3 , b ) 5 , c ) 6 , d ) 16 , e ) 18", "output": [ "e" ] }, { "id": "task1420-96776fde1c044d349548e870e8e81142", "input": "Problem: the average of first 12 even numbers is ? \nOptions: a ) 19 , b ) 18 , c ) 16 , d ) 13 , e ) 17", "output": [ "d" ] }, { "id": "task1420-0d62206812294b109e51041524f0468b", "input": "Problem: in a room with 8 people , 5 people have exactly 1 friend in the room and 4 people have exactly 2 friends in the room ( assuming that friendship is a mutual relationship , i . e . if jane is paul ' s friend , paul is jane ' s friend ) . if two individuals are selected from the room at random , what is the probability that those two individuals are not friends ? \nOptions: a ) 5 / 21 , b ) 3 / 7 , c ) 4 / 7 , d ) 5 / 7 , e ) 25 / 28", "output": [ "e" ] }, { "id": "task1420-d0e7cca6e31d430383472362a015e6d0", "input": "Problem: let f ( x ) = x ^ 2 + bx + c . if f ( 1 ) = 0 and f ( - 9 ) = 0 , then f ( x ) crosses the y - axis at what y - coordinate ? \nOptions: a ) - 9 , b ) - 1 , c ) 0 , d ) 1 , e ) 9", "output": [ "a" ] }, { "id": "task1420-d5be7637900d45dfa04f154187348b0b", "input": "Problem: when a merchant imported a certain item , he paid a 7 percent import tax on the portion of the total value of the item in excess of $ 1,000 . if the amount of the import tax that the merchant paid was $ 101.50 , what was the total value of the item ? \nOptions: a ) $ 1,850 , b ) $ 2,450 , c ) $ 2,750 , d ) $ 3,150 , e ) $ 3,450", "output": [ "b" ] }, { "id": "task1420-8f288d6cd4304096bbe9ed24342fe996", "input": "Problem: if x / y = 2 / z , then 5 x ^ 2 = \nOptions: a ) y / z , b ) 20 y ² / z ² , c ) y ² z ² , d ) 5 y ² / z ² , e ) yz", "output": [ "b" ] }, { "id": "task1420-61f39e21f075478fb5ee7cb30acbaf51", "input": "Problem: how many 3 digit positive integers t exist that when divided by 7 leave a remainder of 5 ? \nOptions: a ) 128 , b ) 142 , c ) 143 , d ) 141 , e ) 129", "output": [ "e" ] }, { "id": "task1420-472f3e40a22f4b66a2a8a2f2784497a5", "input": "Problem: a courier charges for packages to a certain destination are 65 cents for the first 250 grams and 10 cents for each additional 100 grams or part thereof . what could be the weight in grams of a package for which the charge is $ 1.95 ? \nOptions: a ) 980 , b ) 1170 , c ) 1530 , d ) 1720 , e ) 1960", "output": [ "c" ] }, { "id": "task1420-a9f1e461e81643b49552fd714eb88ee8", "input": "Problem: in x game of billiards , x can give y 20 points in 60 and he can give z 30 points in 60 . how many points can y give z in x game of 100 ? \nOptions: a ) 30 , b ) 20 , c ) 25 , d ) 40 , e ) 50", "output": [ "c" ] }, { "id": "task1420-7ce1e3a9a9784c4cbb78aad589525838", "input": "Problem: the cash realised on selling a 14 % stock is rs . 109.25 , brokerage being 1 / 4 % is \nOptions: a ) 123 , b ) 109 , c ) 100 , d ) 156 , e ) 240", "output": [ "b" ] }, { "id": "task1420-7db9e6127eaf4871a5ae05a1ff4c49e7", "input": "Problem: arnold and danny are two twin brothers that are celebrating their birthday . the product of their ages today is smaller by 13 from the product of their ages a year from today . what is their age today ? \nOptions: a ) 2 . , b ) 6 . , c ) 5 . , d ) 7 . , e ) 9 .", "output": [ "b" ] }, { "id": "task1420-0d4bc15ca14749b5bfcf8f4450a76f71", "input": "Problem: in a certain company , the ratio of male to female employees is 7 : 8 . if 3 more men were hired , this ratio would increase to 8 : 9 . how many male employees are there in the company ? \nOptions: a ) 6 , b ) 21 , c ) 27 , d ) 189 , e ) 192", "output": [ "d" ] }, { "id": "task1420-5ae2af3bfd8a4760b98227d01a3d1bc1", "input": "Problem: ( 150 % of 1265 ) ÷ 7 = ? \nOptions: a ) a ) 125 , b ) b ) 175 , c ) c ) 271 , d ) d ) 375 , e ) e ) 524", "output": [ "c" ] }, { "id": "task1420-cf89f62e39584ce4b8b8229c61271628", "input": "Problem: virginia , adrienne , and dennis have taught history for a combined total of 87 years . if virginia has taught for 9 more years than adrienne and for 9 fewer years than dennis , for how many years has dennis taught ? \nOptions: a ) 23 , b ) 32 , c ) 38 , d ) 41 , e ) 44", "output": [ "c" ] }, { "id": "task1420-e4ae625af5294875918e0554e8e0f195", "input": "Problem: a grocer is storing soap boxes in cartons that measure 25 inches by 42 inches by 60 inches . if the measurement of each soap box is 7 inches by 12 inches by 5 inches , then what is the maximum number of soap boxes that can be placed in each carton ? \nOptions: a ) 210 , b ) 150 , c ) 280 , d ) 300 , e ) 420", "output": [ "b" ] }, { "id": "task1420-cb472456f2914250b70e3ea4f9ad649b", "input": "Problem: the average of numbers 0.64205 , 0.64203 , 0.64202 and 0.64201 is ? \nOptions: a ) 0.64202 , b ) 0.64204 , c ) 0.642022 , d ) 0.642028 , e ) none", "output": [ "d" ] }, { "id": "task1420-e0d251e995e146a79c017bfaf80649b0", "input": "Problem: dacid obtained 96 , 95 , 82 , 97 and 95 marks ( out of 100 ) in english , mathematics , physics , chemistry and biology . what are his average marks ? \nOptions: a ) 79 , b ) 93 , c ) 88 , d ) 88 , e ) 75", "output": [ "b" ] }, { "id": "task1420-40a7759ad1864940998d77cc1d9ecf08", "input": "Problem: for any positive number x , the function [ x ] denotes the greatest integer less than or equal to x . for example , [ 1 ] = 1 , [ 1.267 ] = 1 and [ 1.999 ] = 1 . if k is a positive integer such that k ^ 2 is divisible by 45 and 80 , what is the units digit of k ^ 3 / 4000 ? \nOptions: a ) 0 , b ) 0 , c ) 27 , d ) 54 , e ) can not be determined", "output": [ "b" ] }, { "id": "task1420-e10f5fcd73624273aefc8f9cdd42b59c", "input": "Problem: set a consists of all the prime numbers between 6 and 42 . what is the range of set a ? \nOptions: a ) 16 , b ) 34 , c ) 16.6 , d ) 17 , e ) 23", "output": [ "b" ] }, { "id": "task1420-8c8702f3de9e46e587b85d17ead7e88c", "input": "Problem: after spending rs . 5000 on rent , rs . 1500 on milk , rs . 4500 on groceries , rs . 2500 on childrens education rs . 2000 on petrol and rs . 6100 on miscellaneous expenses , mr . kishore saved 10 % of his monthly salary . how much did he save in rs . ? \nOptions: a ) 2160 , b ) 2350 , c ) 2000 , d ) 2300 , e ) 2400", "output": [ "e" ] }, { "id": "task1420-5970ff6cb0e948d4ab9c5f1519dea324", "input": "Problem: what is the difference between the largest number and the least number written with the digits 9 , 2 , 1 , 5 ? \nOptions: a ) 6084 , b ) 3788 , c ) 2077 , d ) 8262 , e ) 1812", "output": [ "d" ] }, { "id": "task1420-e424dd5889284437a1be9e9fc1c7fcb2", "input": "Problem: if you write down all the numbers from 1 to 25 , then how many times do you write 3 ? \nOptions: a ) a ) 11 , b ) b ) 3 , c ) c ) 2 , d ) d ) 1 , e ) e ) 6", "output": [ "b" ] }, { "id": "task1420-84b3805ef70e49689c30b81ebee85f3c", "input": "Problem: ( 5568 / 87 ) 1 / 3 + ( 72 x 2 ) 1 / 2 = ( ? ) 1 / 2 ? \nOptions: a ) 256 , b ) 4 , c ) √ 2 , d ) 16 , e ) none", "output": [ "a" ] }, { "id": "task1420-29a084d4fec54c34b255740a3aa21d0c", "input": "Problem: the average weight of a class of 20 boys was calculated to be 58.4 kgs and it was later found that one weight was misread as 56 kg instead of 61 kg . what is the correct weight ? \nOptions: a ) 58 kgs , b ) 58.65 kgs , c ) 58.95 kgs , d ) 59 kgs , e ) 59.85 kgs", "output": [ "b" ] }, { "id": "task1420-310f1f55b18644cea72dc6684e85885b", "input": "Problem: what is the difference between the c . i . on rs . 7000 for 1 1 / 2 years at 4 % per annum compounded yearly and half - yearly ? \nOptions: a ) s . 2.04 , b ) s . 2.08 , c ) s . 2.02 , d ) s . 2.86 , e ) s . 2.42", "output": [ "d" ] }, { "id": "task1420-fd8e11b559a740829fbec44797e765db", "input": "Problem: what least fraction should be added to 1 / ( 2 × 3 ) + 1 / ( 3 × 4 ) + 1 / ( 4 × 5 ) + . . . . . . . + 1 / ( 21 × 22 ) so that the result is unity ? \nOptions: a ) 5 / 11 , b ) 6 / 11 , c ) 4 / 11 , d ) 7 / 11 , e ) 8 / 11", "output": [ "b" ] }, { "id": "task1420-3aa66486c05349a7b70afeaa090a00dd", "input": "Problem: how many integers between 1 and 10 ^ 20 are such that the sum of their digits is 2 ? \nOptions: a ) 190 , b ) 210 , c ) 211 , d ) 230 , e ) 231", "output": [ "b" ] }, { "id": "task1420-c711a265581f486eaf169ecacf724994", "input": "Problem: the average weight of 4 students decreases by 8 kg when one of them weighing 96 kg is replaced by a new student . the weight of the student is \nOptions: a ) 62 kg , b ) 60 kg , c ) 64 kg , d ) 72 kg , e ) none of these", "output": [ "c" ] }, { "id": "task1420-7a35a6f28f4b4c4b9cefdd93f3a37ae5", "input": "Problem: what is the largest 4 digit number exactly divisible by 12 ? \nOptions: a ) 4676 , b ) 4678 , c ) 8888 , d ) 9504 , e ) 9996", "output": [ "e" ] }, { "id": "task1420-9d9d59c27e0049149e8df2fc053bca70", "input": "Problem: let p be a prime number greater than 2 , and let n = 32 p . how many odd divisors does n have ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "a" ] }, { "id": "task1420-ace30f984d6d4e1da78206527e545b70", "input": "Problem: what least number should be added to 1053 , so that the sum is completely divisible by 23 \nOptions: a ) a ) 4 , b ) b ) 1 , c ) c ) 2 , d ) d ) 3 , e ) e ) 5", "output": [ "e" ] }, { "id": "task1420-2c30eb14358e4cde931a5f0a70281d4b", "input": "Problem: dick and jane each saved $ 5,000 in 1989 . in 1990 dick saved 10 percent more than in 1989 , and together he and jane saved a total of $ 10,000 . approximately what percent less did jane save in 1990 than in 1989 ? \nOptions: a ) 10 % , b ) 15 % , c ) 20 % , d ) 25 % , e ) 30 %", "output": [ "a" ] }, { "id": "task1420-e4aef009a69f4f02a3dfc42298276787", "input": "Problem: in the rectangular coordinate system , if the line x = 8 y + 5 passes through points ( m , n ) and ( m + 2 , n + p ) , what is the value of p ? \nOptions: a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 4 , d ) 1 / 5 , e ) 1 / 6", "output": [ "c" ] }, { "id": "task1420-410ffbf0ed7e45679a5163142b0f161a", "input": "Problem: 300 first - time customers of a fashion store were surveyed for their shopping experience right after leaving the store . 60 % of the customers in the survey had purchased clothes for less than $ 100 . 40 % of the customers in the survey reported they were overall satisfied with their purchase . 65 % of the customers that had purchased clothes for less than $ 100 reported they were overall satisfied with their purchase . what percent of the customers surveyed purchased clothes for at least $ 100 and reported that they were not overall satisfied with their purchase ? \nOptions: a ) 1 , b ) 25 , c ) 35 , d ) 45 , e ) 75", "output": [ "a" ] }, { "id": "task1420-9a7a2dd407b3424081ed2acae8c96e56", "input": "Problem: what should be the least number to be added to the 1202 number to make it divisible by 4 ? \nOptions: a ) 12 , b ) 17 , c ) 18 , d ) 77 , e ) 2", "output": [ "e" ] }, { "id": "task1420-b90367d7694c4f9792fc385b53ed03b5", "input": "Problem: two trains start at same time from two stations and proceed towards each other at the rate of 20 km / hr and 25 km / hr respectively . when they meet , it is found that one train has traveled 60 km more than the other . what is the distance between the two stations ? \nOptions: a ) 540 km , b ) 767 km , c ) 276 km , d ) 178 km , e ) 176 km", "output": [ "a" ] }, { "id": "task1420-77f0183f507645a8bf0fe7002d29e846", "input": "Problem: the expression x # y denotes the product of the consecutive multiples of 3 between x and y , inclusive . what is the sum of the exponents in the prime factorization of 21 # 30 ? \nOptions: a ) 10 , b ) 11 , c ) 12 , d ) 13 , e ) 14", "output": [ "c" ] }, { "id": "task1420-63ff3d7bfaa94960845de9ff6eb8abcc", "input": "Problem: if the largest 3 digit number is subtracted from the smallest 5 digit number , then the remainder is \nOptions: a ) 1 , b ) 9000 , c ) 9001 , d ) 90001 , e ) none", "output": [ "c" ] }, { "id": "task1420-64209d1aa8294da09f9fd8c6a2cdc41d", "input": "Problem: average between two sets of numbers is closer to the set withmore no ' s ? \nOptions: a ) 80 , b ) 90 , c ) 110 , d ) 120 , e ) 130", "output": [ "b" ] }, { "id": "task1420-d3872876a140447598c366f7043af4e9", "input": "Problem: a large field of 900 hectares is divided into two parts . the difference of the areas of the two parts is one - fifth of the average of the two areas . what is the area of the smaller part in hectares ? \nOptions: a ) 435 hectares . , b ) 425 hectares . , c ) 445 hectares . , d ) 415 hectares . , e ) 405 hectares .", "output": [ "e" ] }, { "id": "task1420-bca3a8862c394beea18d764b3c2acbe4", "input": "Problem: what is the least number which when divided by 7 , 9 , 12 and 18 leaves remainder 4 in each care ? \nOptions: a ) 230 , b ) 240 , c ) 236 , d ) 256 , e ) 266", "output": [ "d" ] }, { "id": "task1420-e35ebeb225ac462d992b4d6565e99ff7", "input": "Problem: what is the greatest number of identical bouquets that can be made out of 21 white and 91 red tulips if no flowers are to be left out ? ( two bouquets are identical whenever the number of red tulips in the two bouquets is equal and the number of white tulips in the two bouquets is equal ) \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "e" ] }, { "id": "task1420-a43c595edc574713807b1e41d398911d", "input": "Problem: the sum of the present age of henry and jill is 40 . what is their present ages if 8 years ago henry was twice the age of jill ? \nOptions: a ) 13 and 27 , b ) 16 and 24 , c ) 18 and 22 , d ) 11 and 29 , e ) none of these", "output": [ "b" ] }, { "id": "task1420-c0cd37608ab044f38d7a98532d00c172", "input": "Problem: the number of positive integer solutions for the equation x + y + z + t = 15 is \nOptions: a ) 654 , b ) 584 , c ) 384 , d ) 364 , e ) 394", "output": [ "d" ] }, { "id": "task1420-9eb29786287d408d966dbee733bdcb55", "input": "Problem: the average weight of 8 people increases by 2.5 kg when a new person comes in place of one of them weighing 55 kg . what is the weight of the new person ? \nOptions: a ) 75 kg , b ) 85 kg , c ) 95 kg , d ) 65 kg , e ) 55 kg", "output": [ "a" ] }, { "id": "task1420-7d90222ff9454e8cbbb9f384192653f0", "input": "Problem: if v is the product of the integers from 1 to 30 , inclusive , what is the greatest integer k for which 3 ^ k is a factor of v ? \nOptions: a ) 10 , b ) 12 , c ) 14 , d ) 16 , e ) 18", "output": [ "c" ] }, { "id": "task1420-d1b73691b5e442fca13e7885a829ad8b", "input": "Problem: a grocer has a sale of rs . 5400 , rs . 9000 , rs . 6300 , rs . 7200 and rs . 4500 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 5600 ? \nOptions: a ) s . 1200 , b ) s . 5400 , c ) s . 5400 , d ) s . 4999 , e ) s . 5000", "output": [ "a" ] }, { "id": "task1420-4a8f91b1bcff4137a29d6c8be237303e", "input": "Problem: in the number 11,0 ab , a and b represent the tens and units digits , respectively . if 11,0 ab is divisible by 52 , what is the greatest possible value of b × a ? \nOptions: a ) 0 , b ) 5 , c ) 10 , d ) 15 , e ) 22", "output": [ "e" ] }, { "id": "task1420-89c3b3d2da9f49d480f32a69f1455264", "input": "Problem: the average of 5 quantities is 10 . the average of 3 of them is 4 . what is the average of remaining 2 numbers ? \nOptions: a ) 19 , b ) 14 , c ) 8 , d ) 9.5 , e ) none of these", "output": [ "a" ] }, { "id": "task1420-088dbfe2cc6b461b9f0c5de1aa74f236", "input": "Problem: a mixture contains milk and water in the ratio 3 : 2 . on adding 10 liters of water , the ratio of milk to water becomes 2 : 3 . total quantity of milk & water before adding water to it ? \nOptions: a ) 30 , b ) 40 , c ) 20 , d ) 10 , e ) 25", "output": [ "c" ] }, { "id": "task1420-993fd738182e46a1b3a3591f98e51cc7", "input": "Problem: tough and tricky questions : combinations . 8 contestants representing 4 different countries advance to the finals of a fencing championship . assuming all competitors have an equal chance of winning , how many possibilities are there with respect to how a first - place and second - place medal can be awarded ? \nOptions: a ) 6 , b ) 7 , c ) 12 , d ) 16 , e ) 24", "output": [ "e" ] }, { "id": "task1420-0c13abb7301f49a19e385da9b6924361", "input": "Problem: if x and y are positive integers , and y = x ^ 2 + 8 , the greatest common divisor of a and b can not be \nOptions: a ) 9 , b ) 1 , c ) 2 , d ) 4 , e ) 8", "output": [ "a" ] }, { "id": "task1420-dc71e2dbfa0e43c1bc42eea8bf390fe9", "input": "Problem: when 1 / 10 percent of 6,000 is subtracted from 1 / 10 of 6,000 , the difference is \nOptions: a ) 0 , b ) 50 , c ) 450 , d ) 495 , e ) 694", "output": [ "e" ] }, { "id": "task1420-402d67d9e9e849d1927bcf6a5c0f3290", "input": "Problem: on thursday mabel handled 90 transactions . anthony handled 10 % more transactions than mabel , cal handled 2 / 3 rds of the transactions that anthony handled , and jade handled 19 more transactions than cal . how much transactions did jade handled ? \nOptions: a ) 80 , b ) 81 , c ) 82 , d ) 83 , e ) 85", "output": [ "e" ] }, { "id": "task1420-98f95f28463746ff970fc105cd628095", "input": "Problem: the mean of 50 observations was 36 . it was found later that an observation 30 was wrongly taken as 23 . the corrected new mean is : \nOptions: a ) 36.02 , b ) 36.14 , c ) 36.12 , d ) 36.11 , e ) 36.8", "output": [ "b" ] }, { "id": "task1420-3d07df2b969549e6a175bfd73fdf2c92", "input": "Problem: when processing flower - nectar into honey bees ' extract , a considerable amount of water gets reduced . how much flower - nectar must be processed to yield 1 kg of honey , if nectar contains 50 % water , and the honey obtained from this nectar contains 40 % water ? \nOptions: a ) 1.2 kg , b ) 1.5 kg , c ) 1.7 kg , d ) 1.9 kg , e ) none of these", "output": [ "a" ] }, { "id": "task1420-2fc77b080adf4167a134e15ddda4b159", "input": "Problem: there are 5 chess amateurs playing in villa ' s chess club tournament . if each chess amateur plays with exactly 8 other amateurs , what is the total number of chess games possible to be played in the tournament ? \nOptions: a ) 10 , b ) 20 , c ) 40 , d ) 60 , e ) 120", "output": [ "b" ] }, { "id": "task1420-f5b82dbf2d924bf39efdd7051b10ebe7", "input": "Problem: a committee is reviewing a total of 20 x black - and - white films and 6 y color films for a festival . if the committee selects y / x % of the black - and - white films and all of the color films , what fraction q of the selected films are in color ? \nOptions: a ) 1 / 130 , b ) 1 / 5 , c ) 3 / 13 , d ) 10 / 13 , e ) 30 / 31", "output": [ "e" ] }, { "id": "task1420-eafd64e513994d33a13545729859a6d6", "input": "Problem: average marks of a , b , c is 48 . when d joins average becomes 47 . e has 3 more marks than d . average marks of b , c , d , e is 48 . what is the marks of a ? \nOptions: a ) 43 , b ) 44 , c ) 45 , d ) 46 , e ) 47", "output": [ "a" ] }, { "id": "task1420-b136858685e84f4294106d75b954bb0a", "input": "Problem: the distance from the x - axis to point p is half the distance from the y - axis to point p . if the coordinates of p are ( x , - 4 ) , how many units is p from the y - axis ? \nOptions: a ) 2 , b ) 4 , c ) 8 , d ) 10 , e ) 12", "output": [ "c" ] }, { "id": "task1420-29787d5bf14d4d9fa1c62a32ed678e78", "input": "Problem: the wages earned by robin is 30 % more than that earned by erica . the wages earned by charles is 60 % more than that earned by erica . how much percent is the wages earned by charles more than that earned by robin ? \nOptions: a ) 18.75 % , b ) 23 % , c ) 30 % , d ) 50 % , e ) 100 %", "output": [ "b" ] }, { "id": "task1420-ffb3528290de48ed9e7fa26bd1445a73", "input": "Problem: two employees m and n are paid a total of $ 616 per week by their employer . if m is paid 120 percent of the salary paid to n , how much is n paid per week ? \nOptions: a ) $ 270 , b ) $ 280 , c ) $ 290 , d ) $ 300 , e ) $ 310", "output": [ "b" ] }, { "id": "task1420-e231af9d2d5047609f1c2ee0db72f043", "input": "Problem: a man is 35 years older than his son . in two years , his age will be twice the age of his son . the present age of his son is : \nOptions: a ) 14 years , b ) 18 years , c ) 20 years , d ) 22 years , e ) 33 years", "output": [ "e" ] }, { "id": "task1420-61eee2c87c8f43ffafbc067d1f3eb599", "input": "Problem: the average of first 17 even numbers is ? \nOptions: a ) 10 , b ) 11 , c ) 18 , d ) 20 , e ) 24", "output": [ "c" ] }, { "id": "task1420-670bbc8aff9a4329a7dff85e46961b20", "input": "Problem: 54671 - 14456 - 35466 = ? \nOptions: a ) 2449 , b ) 5449 , c ) 6749 , d ) 6449 , e ) 4749", "output": [ "e" ] }, { "id": "task1420-85eb7eb702b84b01a0da5b0b91544cc4", "input": "Problem: the average weight of a , b and c is 65 kg . if the average weight of a and b be 60 kg and that of b and c be 70 kg , then the weight of a is : \nOptions: a ) 55 kg , b ) 65 kg , c ) 75 kg , d ) 45 kg , e ) 63 kg", "output": [ "a" ] }, { "id": "task1420-1bea13cc64be4b7883b1feb85d625e1a", "input": "Problem: what is the remainder when 750 * 810 * 830 * 790 is divided by 13 ? \nOptions: a ) 4 , b ) 9 , c ) 10 , d ) 8 , e ) 6", "output": [ "c" ] }, { "id": "task1420-4a906fff83504cb3bf6eb1ec2195db72", "input": "Problem: mr . kramer , the losing candidate in a two - candidate election , received 942,568 votes , which was exactly 20 percent of all votes cast . approximately what percent of the remaining votes would he need to have received in order to have won at least 50 percent of all the votes cast ? \nOptions: a ) 10 % , b ) 12 % , c ) 15 % , d ) 27 % , e ) 37 %", "output": [ "e" ] }, { "id": "task1420-349ff6f262c44c3da5f749b9e5e5ae7f", "input": "Problem: the average salary of all the workers in a workshop is rs . 9500 . the average salary of 7 technicians is rs . 12000 and the average salary of the rest is rs . 6000 . the total number of workers in the workshop is ? \nOptions: a ) a ) 23 , b ) b ) 21 , c ) c ) 52 , d ) d ) 56 , e ) e ) 12", "output": [ "e" ] }, { "id": "task1420-b9519bff833b419ebf509fc4bb29534e", "input": "Problem: a cricketer whose bowling average is 12.4 runs per wicket takes 5 wickets for 26 runs and thereby decreases his average by 0.4 . the number of wickets taken by him till the last match was : \nOptions: a ) 64 , b ) 72 , c ) 80 , d ) 85 , e ) none of the above", "output": [ "d" ] }, { "id": "task1420-3c7cac00246341d69b7cb4b5e5c052fd", "input": "Problem: there are 16 teams in a tournament . if during the first round , each team plays every other team exactly once , how many games will be played in the first round ? \nOptions: a ) 15 , b ) 30 , c ) 120 , d ) 240 , e ) 256", "output": [ "c" ] }, { "id": "task1420-73194ce023b24b7b9390b670a98affa2", "input": "Problem: if x and y are integers and | x - y | = 11 , what is the minimum possible value of xy ? \nOptions: a ) - 10 , b ) - 18 , c ) - 28 , d ) - 30 , e ) - 32", "output": [ "d" ] }, { "id": "task1420-96f8e1ab45f5471591eba787631f3f33", "input": "Problem: peter and tom shared the driving on a certain trip . if peter and tom both drove for the same amount of time , but peter only drove 2 / 5 of the total distance , what was the ratio of tom ' s average speed to peter ' s average speed ? \nOptions: a ) 1 : 5 , b ) 2 : 5 , c ) 1 : 2 , d ) 3 : 2 , e ) 2 : 3", "output": [ "d" ] }, { "id": "task1420-34be2fe28c244aacae57e6df5a0f96af", "input": "Problem: in the biology lab of ` ` jefferson ' ' high school there are 5.4 * 10 ^ 6 germs , equally divided among 10800 petri dishes . how many germs live happily in a single dish ? \nOptions: a ) 100 , b ) 200 , c ) 500 , d ) 1000 , e ) 5000", "output": [ "c" ] }, { "id": "task1420-68f43a8c97854897b1f70539173b0014", "input": "Problem: company s produces two kinds of stereos : basic and deluxe . of the stereos produced by company s last month , 2 / 3 were basic and the rest were deluxe . if it takes 8 / 5 as many hours to produce a deluxe stereo as it does to produce a basic stereo , then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos ? \nOptions: a ) 7 / 17 , b ) 14 / 31 , c ) 4 / 9 , d ) 17 / 35 , e ) 1 / 2", "output": [ "c" ] }, { "id": "task1420-2b449dfde2b44ab8b5ddeb0aa2d4ceb4", "input": "Problem: peter takes a loan of $ 100000 with 12 % annual interest : the interest is paid once , at the end of the year . martha takes a loan of $ 100000 with 12 % annual interest , compounding monthly at the end of each month . at the end of one full year , compared to peter ' s loan interest , approximately how much more does martha have to repay ? \nOptions: a ) $ 68.25 , b ) zero , c ) $ 6825.00 , d ) $ 6.82 , e ) $ 682.50", "output": [ "e" ] }, { "id": "task1420-09fdfbf423b34261932688b38df7d47a", "input": "Problem: mark and ann together were allocated n boxes of cookies to sell for a club project . mark sold 11 boxes less than n and ann sold 2 boxes less than n . if mark and ann have each sold at least one box of cookies , but together they have sold less than n boxes , what is the value of n ? \nOptions: a ) 10 , b ) 11 , c ) 12 , d ) 13 , e ) 14", "output": [ "c" ] }, { "id": "task1420-ae983216565c43e2bf304f849cd458a7", "input": "Problem: it takes 60 identical printing machines 2 hours to print 300 cards . how much more time would it take 50 of these machines to print the same total ? \nOptions: a ) 20 min , b ) 25 min , c ) 26 min , d ) 36 min , e ) 30 min", "output": [ "d" ] }, { "id": "task1420-54d266a87ada4e8ead33773313b855dd", "input": "Problem: what is the unit digit of ( 6 ! * 6 ! / 6 ! * 3 ! ) ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4", "output": [ "a" ] }, { "id": "task1420-e3c5e140c5834707895caf51f4d6cafc", "input": "Problem: a vessel of capacity 2 litre has 20 % of alcohol and another vessel of capacity 6 litre had 55 % alcohol . the total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water . what is the new concentration of mixture ? \nOptions: a ) 37 % . , b ) 71 % . , c ) 49 % . , d ) 29 % . , e ) 51 % .", "output": [ "a" ] }, { "id": "task1420-26707ebe46134a08a16299ec45a16999", "input": "Problem: a man is 26 years older than his studen . in two years , his age will be twice the age of his student . the present age of his student is : \nOptions: a ) 20 , b ) 21 , c ) 22 , d ) 23 , e ) 24", "output": [ "e" ] }, { "id": "task1420-2e72236084384633835276f24cc1754d", "input": "Problem: on dividing number by 56 , we get 29 as remainder . on dividing the same number by 8 , what will be the remainder ? \nOptions: a ) 4 , b ) 5 , c ) 6 , d ) 7 , e ) 8", "output": [ "b" ] }, { "id": "task1420-4ea0efcf141142bd96a8841c6ad4ce6e", "input": "Problem: . 3 + 33 + 333 + 3.33 = ? \nOptions: a ) 369.63 , b ) 372.33 , c ) 702.33 , d ) 702 , e ) none of them", "output": [ "a" ] }, { "id": "task1420-5ab555f7f45541a2a00c99b6e9cdb75c", "input": "Problem: how many halves are there in 9 - fourth ? \nOptions: a ) 8 , b ) 4.5 , c ) 3.2 , d ) 7 , e ) 3", "output": [ "b" ] }, { "id": "task1420-9a9c2593874e44c4b4b7e09a4a10b71e", "input": "Problem: in a market , a dozen eggs cost as much as a pound of rice , and a half - liter of kerosene costs as much as 8 eggs . if the cost of each pound of rice is $ 0.33 , then how many f cents does a liter of kerosene cost ? [ one dollar has 100 cents . ] \nOptions: a ) 0.33 , b ) 0.44 , c ) 0.55 , d ) 44 , e ) 55", "output": [ "d" ] }, { "id": "task1420-5b7f0dda4ccb4161934e954ca55b52cb", "input": "Problem: how many digits are in the number 50 ^ 8 × 8 ^ 3 × 11 ^ 2 x 10 ^ 2 ? \nOptions: a ) 22 , b ) 20 , c ) 21 , d ) 18 , e ) 17", "output": [ "c" ] }, { "id": "task1420-20541d52b62c4440986691719967479e", "input": "Problem: let f ( x , y ) be defined as the remainder when ( x – y ) ! is divided by x . if x = 50 , what is the maximum value of y for which f ( x , y ) = 0 ? \nOptions: a ) 35 , b ) 36 , c ) 40 , d ) 42 , e ) 45", "output": [ "c" ] }, { "id": "task1420-1e1a6bed1cd0456e9e2312af7e6b16e6", "input": "Problem: for each of her sales , a saleswoman receives a commission equal to 20 percent of the first $ 500 of the total amount of the sale , plus 35 percent of the total amount in excess of $ 500 . if the total amount of one of her sales was $ 800 , the saleswoman ’ s commission was approximately what percent of the total amount of the sale ? \nOptions: a ) 22 % , b ) 24 % , c ) 25 % , d ) 26 % , e ) 28 %", "output": [ "d" ] }, { "id": "task1420-26806b03f8344c718a86945e3c3b3f7f", "input": "Problem: a gardener wants to plant trees in his garden in such a way that the number of trees in each row should be the same . if there are 7 rows or 6 rows or 4 rows , then no tree will be left . find the least number of trees required \nOptions: a ) 22 , b ) 84 , c ) 28 , d ) 76 , e ) 21", "output": [ "b" ] }, { "id": "task1420-4f35853ed6fa410f8160dee2846f8ede", "input": "Problem: each child has 2 pencils and 13 skittles . if there are 11 children , how many pencils are there in total ? \nOptions: a ) 16 , b ) 12 , c ) 18 , d ) 22 , e ) 08", "output": [ "d" ] }, { "id": "task1420-0302ab63e44f4b77933656fffd67eaf3", "input": "Problem: in a school with 5 classes , each class has 2 students less than the previous class . how many students are there in the largest class if the total number of students at school is 140 ? \nOptions: a ) 28 , b ) 29 , c ) 30 , d ) 31 , e ) 32", "output": [ "e" ] }, { "id": "task1420-ca1f418d26f547f8931cb643b9ccd236", "input": "Problem: what is the sum of the multiples of 4 between 13 and 125 inclusive ? \nOptions: a ) 1,890 , b ) 1,960 , c ) 2,200 , d ) 3,780 , e ) 4,400", "output": [ "b" ] }, { "id": "task1420-579912f19d3f452cb982aeaaff4721e5", "input": "Problem: if 2 x + y = 7 and x + 2 y = 5 , then 7 xy / 3 = ? \nOptions: a ) a ) 1 , b ) b ) 2 , c ) c ) 7 , d ) d ) 18 / 5 , e ) e ) 4", "output": [ "c" ] }, { "id": "task1420-ae90322da2cd4b6fb2386c007dab86a9", "input": "Problem: in a class of 40 students , 2 students did not borrow any books from the library , 12 students each borrowed 1 book , 10 students each borrowed 2 books , and the rest borrowed at least 3 books . if the average number of books per student was 2 , what is the maximum number of books any single student could have borrowed ? \nOptions: a ) 3 , b ) 5 , c ) 8 , d ) 13 , e ) 15", "output": [ "a" ] }, { "id": "task1420-474cad1b578b415f87e4f3abd1003e37", "input": "Problem: roy is now 8 years older than julia and half of that amount older than kelly . if in 4 years , roy will be twice as old as julia , then in 4 years what would be roy ’ s age multiplied by kelly ’ s age ? \nOptions: a ) 172 , b ) 180 , c ) 192 , d ) 200 , e ) 216", "output": [ "c" ] }, { "id": "task1420-74a7cdc4bf084d6681b7cc022e2bffa1", "input": "Problem: the value of ( 34.31 * 0.5 * 1.567 ) / ( 0.0673 * 23.25 * 7.57 ) is close to \nOptions: a ) 2 , b ) 1.15 , c ) 2.05 , d ) 2.27 , e ) 2.35", "output": [ "d" ] }, { "id": "task1420-576efc4ce1dd4625b2e8326e633cc00f", "input": "Problem: a certain number when divided by 50 leaves a remainder 25 , what is the remainder if the same no . be divided by 15 ? \nOptions: a ) 4 , b ) 5 , c ) 6 , d ) 8 , e ) 9", "output": [ "b" ] }, { "id": "task1420-153bcdccfd4a4881bbc58077fda05bcb", "input": "Problem: in a certain archery competition , points were awarded as follows : the first place winner receives 11 points , the second place winner receives 7 points , the third place winner receives 5 points and the fourth place winner receives 2 points . no other points are awarded . john participated several times in the competition and finished first , second , third , or fourth each time . the product of all the points he received was 38500 . how many times did he participate in the competition ? \nOptions: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10", "output": [ "b" ] }, { "id": "task1420-66486e3cd36c466b9e93211a81adbdeb", "input": "Problem: albert is 2 times mary ’ s age and 4 times as old as betty . mary is 10 years younger than albert . how old is betty ? \nOptions: a ) 5 , b ) 8 , c ) 10 , d ) 12 , e ) 15", "output": [ "a" ] }, { "id": "task1420-3209fc7305b94ae5b9502dbf140fb118", "input": "Problem: the average of first 35 prime numbers is ? \nOptions: a ) 14.54 , b ) 15.6 , c ) 15.8 , d ) 14.7 , e ) 14.8", "output": [ "a" ] }, { "id": "task1420-e242259172c04a549caded76a605193c", "input": "Problem: if a randomly selected non - negative single digit integer is added to { 2 , 3 , 5 , 8 } . what is the probability that the median of the set will increase but the range still remains the same ? \nOptions: a ) 0.2 , b ) 0.3 , c ) 0.4 , d ) 0.5 , e ) 0.6", "output": [ "c" ] }, { "id": "task1420-ff31261fecda46f2b548b997bae89b1b", "input": "Problem: ( 112 % of 2348 ) ÷ 4.98 = ? \nOptions: a ) 505 , b ) 515 , c ) 525 , d ) 538 , e ) 567", "output": [ "c" ] }, { "id": "task1420-e0cd0d6427164abaacdb067462907d03", "input": "Problem: an army ’ s recruitment process included n rounds of selection tasks . for the first a rounds , the rejection percentage was 60 percent per round . for the next b rounds , the rejection percentage was 50 percent per round and for the remaining rounds , the selection percentage was 70 percent per round . if there were 100000 people who applied for the army and 175 were finally selected , what was the value of n ? \nOptions: a ) 4 , b ) 9 , c ) 6 , d ) 8 , e ) 10", "output": [ "b" ] }, { "id": "task1420-0ce8c36307e14fc7ac7232571bf62379", "input": "Problem: how many multiples of 9 are there between 1 and 50 , exclusive ? \nOptions: a ) 5 , b ) 4 , c ) 6 , d ) 7 , e ) 3", "output": [ "a" ] }, { "id": "task1420-942641b8485047f4a560eed517340afa", "input": "Problem: evaluate : 1024 x 237 + 976 x 237 \nOptions: a ) 486000 , b ) 568000 , c ) 378000 , d ) 474000 , e ) none of them", "output": [ "d" ] }, { "id": "task1420-596ee49f899b4623a56b8e272c0186c6", "input": "Problem: the greatest number that divides 690 and 875 leaving remainders 10 and 25 respectively is : \nOptions: a ) 170 , b ) 130 , c ) 150 , d ) 120 , e ) 180", "output": [ "a" ] }, { "id": "task1420-18ac7463623f4d579702bdc1aa1cbfc0", "input": "Problem: a camera lens filter kit containing 5 filters sells for $ 52.50 . if the filters are purchased individually , 2 of them are priced at $ 6.45 each , 2 at $ 11.05 each , 1 at $ 15.50 . the amount saved by purchasing the kit is what percent of the total price of the 5 filters purchased individually ? \nOptions: a ) 3.76 % , b ) 4.76 % , c ) 5.76 % , d ) 6.76 % , e ) 7.76 %", "output": [ "b" ] }, { "id": "task1420-cf5075c26d584074ad465185d7f91223", "input": "Problem: of the final grades received by the students in a certain math course , 1 / 5 are a ' s , 1 / 4 are b ' s , 1 / 2 are c ' s , and the remaining 40 grades are d ' s . what is the number of students in the course ? \nOptions: a ) 80 , b ) 110 , c ) 160 , d ) 800 , e ) 400", "output": [ "d" ] }, { "id": "task1420-68bbad7d9d314edcb250855e3351c09d", "input": "Problem: a recipe requires 2 1 / 2 ( mixed number ) cups of flour 2 3 / 4 ( mixed number ) cups of sugar and 1 1 / 3 ( mixed number ) cups of milk to make one cake . victor has 15 cups if flour , 16 cups of sugar and 8 cups of milk . what is the greatest number of cakes john can make using this recipe ? \nOptions: a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 9", "output": [ "a" ] }, { "id": "task1420-f792f3ab7cd14dbbb19cde43938751d3", "input": "Problem: what is the smallest integer that is multiple of 5 , 7,8 \nOptions: a ) a ) 70 , b ) b ) 35 , c ) c ) 200 , d ) d ) 280 , e ) e ) 140", "output": [ "d" ] }, { "id": "task1420-fdcd05fb5b734d48a8b584e0816f8e96", "input": "Problem: a company wants to spend equal amounts of money for the purchase of two types of computer printers costing $ 300 and $ 200 per unit , respectively . what is the fewest number of computer printers that the company can purchase ? \nOptions: a ) 3 , b ) 5 , c ) 7 , d ) 9 , e ) 11", "output": [ "b" ] }, { "id": "task1420-c7b673dc022143da86f0f8522abff4b5", "input": "Problem: a fair 2 sided coin is flipped 7 times . what is the probability that tails will be the result at least twice , but not more than 7 times ? \nOptions: a ) 119 / 128 , b ) 120 / 113 , c ) 114 / 210 , d ) 121 / 141 , e ) 104 / 117", "output": [ "a" ] }, { "id": "task1420-8834c465644045458871e5020efd3e67", "input": "Problem: if y is 80 % greater than x , than x is what % less than y ? \nOptions: a ) 20 , b ) 25 , c ) 33 1 / 3 , d ) 44 4 / 9 , e ) 80", "output": [ "d" ] }, { "id": "task1420-b95ce47e01a74388bbf7f4dde487f504", "input": "Problem: at the end of the month , a certain ocean desalination plant ’ s reservoir contained 30 million gallons of water . this amount is twice the normal level . if this amount represents 75 % of the reservoir ’ s total capacity , how many million gallons short of total capacity is the normal level ? \nOptions: a ) 10 , b ) 15 , c ) 20 , d ) 25 , e ) 30", "output": [ "c" ] }, { "id": "task1420-ebee56464e8b4e6bac37359e120df5b2", "input": "Problem: how many 3 - digit even numbers are possible such that if one of the digits is 5 , the next / succeeding digit to it should be 1 ? \nOptions: a ) 5 , b ) 305 , c ) 365 , d ) 405 , e ) 495", "output": [ "a" ] }, { "id": "task1420-fb8eb82abb964876ab79e156a04ab295", "input": "Problem: 30 men shake hands with each other . maximum no of handshakes without cyclic handshakes . \nOptions: a ) 190 , b ) 200 , c ) 210 , d ) 220 , e ) 435", "output": [ "e" ] }, { "id": "task1420-5bfc49d4bb784a70bfb252040424066c", "input": "Problem: what is the sum of the odd integers from 35 to 65 , inclusive ? \nOptions: a ) 800 , b ) 550 , c ) 555 , d ) 600 , e ) 605", "output": [ "a" ] }, { "id": "task1420-ff8f90d6435d47b98068ce6f2814d639", "input": "Problem: when the positive integer k is divided by the positive integer n , the remainder is 11 . if k / n = 83.2 , what is the value of n ? \nOptions: a ) 9 , b ) 20 , c ) 55 , d ) 70 , e ) 81", "output": [ "e" ] }, { "id": "task1420-426c80b2f29f4f1bb193dd166f5ebf89", "input": "Problem: 300 first - time customers of a fashion store were surveyed for their shopping experience right after leaving the store . 60 % of the customers in the survey had purchased clothes for less than $ 100 . 40 % of the customers in the survey reported they were overall satisfied with their purchase . 35 % of the customers that had purchased clothes for less than $ 100 reported they were overall satisfied with their purchase . what percent of the customers surveyed purchased clothes for at least $ 100 and reported that they were not overall satisfied with their purchase ? \nOptions: a ) 19 , b ) 25 , c ) 35 , d ) 45 , e ) 75", "output": [ "a" ] }, { "id": "task1420-04d604226c2043b2acfdcea978ee6a8c", "input": "Problem: when a certain number x is divided by 84 , the remainder is 25 . what is the remainder when x is divided by 14 ? \nOptions: a ) 10 , b ) 8 , c ) 9 , d ) 5 , e ) 11", "output": [ "e" ] }, { "id": "task1420-6a45df910d774b849c94607be81bc456", "input": "Problem: 40 persons like apple . 7 like orange and mango dislike apple . 10 like mango and apple and dislike orange . 3 like all . how many people like apple ? \nOptions: a ) 47 , b ) 46 , c ) 54 , d ) 58 , e ) 62", "output": [ "b" ] }, { "id": "task1420-7cb945801de64a81aaae07d8206547ee", "input": "Problem: how many positive integers less than 1000 are multiples of 5 but not of 4 or 7 ? \nOptions: a ) 114 , b ) 121 , c ) 122 , d ) 129 , e ) 136", "output": [ "c" ] }, { "id": "task1420-26c9476e1422477b910573dda33cc7df", "input": "Problem: if ( 10 ^ 4 * 3.456789 ) ^ 10 is written as a single term , how many digits would be to the right of the decimal place ? \nOptions: a ) 12 , b ) 16 , c ) 20 , d ) 32 , e ) 48", "output": [ "c" ] }, { "id": "task1420-ed3732b2e72e4617a8c86f9757540a10", "input": "Problem: the units digit of ( 35 ) ^ ( 87 ) + ( 93 ) ^ ( 53 ) is : \nOptions: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 0", "output": [ "d" ] }, { "id": "task1420-949857192b3c474ca58fd3ba7679938c", "input": "Problem: the sum of the squares of three numbers is 100 , while the sum of their products taken two at a time is 48 . their sum is : \nOptions: a ) 20 , b ) 30 , c ) 40 , d ) 50 , e ) none of these", "output": [ "e" ] }, { "id": "task1420-4978448e3f4e4690bf961c08d6835956", "input": "Problem: what is the tenth digit of ( 5 ! * 5 ! - 5 ! * 3 ! ) / 5 ? \nOptions: a ) 1 , b ) 2 , c ) 0 , d ) 6 , e ) 7", "output": [ "b" ] }, { "id": "task1420-17a610365631419099d1f6062bbb0525", "input": "Problem: x , y , and z are consecutive numbers and x > y > z . also , 2 x + 3 y + 3 z = 5 y + 8 . what is the value of z ? \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6", "output": [ "a" ] }, { "id": "task1420-555649b23837423f962847fb35177dd6", "input": "Problem: every year an amount increases by 1 / 6 th of itself . how much will it be after two years if its present value is rs . 64000 ? \nOptions: a ) 87111 , b ) 81007 , c ) 81008 , d ) 81066 , e ) 81022", "output": [ "a" ] }, { "id": "task1420-8184b57fd86949a0b6e923fb9df2b3a7", "input": "Problem: the maximum number of students among them 1001 pens and 910 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is : \nOptions: a ) 91 , b ) 37 , c ) 99 , d ) 277 , e ) 19", "output": [ "a" ] }, { "id": "task1420-c113399ea9c143ceb5c6d9795a15f565", "input": "Problem: what will be the vulgar fraction of 0.8 \nOptions: a ) 3 / 5 , b ) 4 / 5 , c ) 3 / 2 , d ) 3 / 7 , e ) 3 / 8", "output": [ "b" ] }, { "id": "task1420-fef4c4be0d5a4669a76761c7f96f974e", "input": "Problem: in a house a hall is 20 m long , 15 m wide and 5 m high . its interior has to be covered with mat . what will be the total expenditure if it costs rs . 60 per square m ? \nOptions: a ) rs . 50000 , b ) rs . 52000 , c ) rs . 57000 , d ) rs . 60000 , e ) rs . 67000", "output": [ "c" ] }, { "id": "task1420-2faebfeec1ab4bf0a31a2cebe32585c2", "input": "Problem: 15 lts are taken of from a container full of liquid a and replaced with liquid b . again 15 more lts of the mixture is taken and replaced with liquid b . after this process , if the container contains liquid a and b in the ratio 9 : 16 , what is the capacity of the container m ? \nOptions: a ) a : 45 , b ) b : 25 , c ) c : 37.5 , d ) d : 36 , e ) e : 42", "output": [ "c" ] }, { "id": "task1420-4953776ceeb547dfa90f9a6a48f999ea", "input": "Problem: if x is 20 percent more than y and y is 30 percent less than z , then x is what percent of z ? \nOptions: a ) 500 % , b ) 250 % , c ) 500 / 3 % , d ) 84 % , e ) 60 %", "output": [ "d" ] }, { "id": "task1420-3c1666bcd8544d3da59f96710e586754", "input": "Problem: a cube with its sides numbered 1 through 6 is rolled twice , first landing on a and then landing on b . if any roll of the cube yields an equal chance of landing on any of the numbers 1 through 6 , what is the probability q that a + b is prime ? \nOptions: a ) 0 , b ) 1 / 12 , c ) 5 / 12 , d ) 7 / 18 , e ) 4 / 9", "output": [ "c" ] }, { "id": "task1420-b0000f339eda4963a7fcae2999990b39", "input": "Problem: how many digits are required to number a book containing 260 pages ? \nOptions: a ) 784 , b ) 672 , c ) 492 , d ) 372 , e ) 300", "output": [ "b" ] }, { "id": "task1420-2200276247b94fc9a54e407c55c56222", "input": "Problem: of 70 players on a football team , 40 are throwers . the rest of the team is divided so one third are left - handed and the rest are right handed . assuming that all throwers are right handed , how many right - handed players are there total ? \nOptions: a ) 54 , b ) 59 , c ) 60 , d ) 71 , e ) 92", "output": [ "c" ] }, { "id": "task1420-ddc28fb9feb94dfca656a197ff24f244", "input": "Problem: if a ( a + 2 ) = 80 and b ( b + 2 ) = 80 , where a ≠ b , then a + b = \nOptions: a ) - 3 , b ) - 4 , c ) - 6 , d ) - 8 , e ) - 2", "output": [ "e" ] }, { "id": "task1420-7840d1008f8b41f4a01239cfeaa2e264", "input": "Problem: the ages of two persons differ by 16 years . 6 years ago , the elder one was 3 times as old as the younger one . what are their present ages of the elder person \nOptions: a ) 11 , b ) 66 , c ) 28 , d ) 30 , e ) 99", "output": [ "d" ] }, { "id": "task1420-f7c279144c434bffb8efc84772618b59", "input": "Problem: if | 20 x - 10 | = 90 , then find the product of the values of x ? \nOptions: a ) - 45 , b ) 50 , c ) - 62 , d ) 35 , e ) - 20", "output": [ "e" ] }, { "id": "task1420-3499d4e584f542ffa5f47faa4917055e", "input": "Problem: if a and b are positive numbers , and a ^ 3 + b ^ 3 = 100 , then the greatest possible value of a is between : \nOptions: a ) 0 and 3 , b ) 3 and 4 , c ) 4 and 5 , d ) 5 and 7 , e ) 7 and 9", "output": [ "c" ] }, { "id": "task1420-e3cd0bb38d394057b539aab6dbf956f6", "input": "Problem: if the price of gasoline increases by 25 % and a driver intends to spend only 20 % more on gasoline , by how much percent should the driver reduce the quantity of gasoline that he buys ? \nOptions: a ) 2 % , b ) 3 % , c ) 4 % , d ) 5 % , e ) 6 %", "output": [ "c" ] }, { "id": "task1420-a86cf93c46534a918feb085e5b083911", "input": "Problem: if the average ( arithmetic mean ) of x , x + 2 , and x + 4 is 103 , what is the value of x ? \nOptions: a ) 95 , b ) 97 , c ) 101 , d ) 85 , e ) 87", "output": [ "c" ] }, { "id": "task1420-42ae4b419bac4b129ee081680782514c", "input": "Problem: what is the least number . which should be added to 0.0478 to make it a perfect square ? \nOptions: a ) 0.0002 , b ) 0.0004 , c ) 0.0006 , d ) 0.0008 , e ) 0.001", "output": [ "c" ] }, { "id": "task1420-0c913d84a8ed49be8da51bc632d35cdf", "input": "Problem: in a division sum , the remainder is 6 and the divisor is 5 times the quotient and is obtained by adding 22 to the thrice of the remainder . the dividend is \nOptions: a ) 74 , b ) 166 , c ) 86 , d ) 92 , e ) 98", "output": [ "b" ] }, { "id": "task1420-2dbb335b4c594805ada854341f9786f8", "input": "Problem: if 60 percent of 500 is 50 percent of x , then x = ? \nOptions: a ) 600 , b ) 620 , c ) 650 , d ) 700 , e ) 720", "output": [ "a" ] }, { "id": "task1420-d0fd35906223401baaf0e2dd4990a9f3", "input": "Problem: a lemonade stand sold only small and large cups of lemonade on tuesday . 2 / 5 of the cups sold were small and the rest were large . if the large cups were sold for 7 / 6 as much as the small cups , what fraction of tuesday ' s total revenue was from the sale of large cups ? \nOptions: a ) ( a ) 7 / 16 , b ) ( b ) 7 / 11 , c ) ( c ) 10 / 21 , d ) ( d ) 17 / 35 , e ) ( e ) 1 / 2", "output": [ "b" ] }, { "id": "task1420-ea9a2cb0ce3b4733a46779a0a95a74c0", "input": "Problem: 1 / 4 of all married couples have more than one child . 1 / 5 of all married couples have more than 3 children . what fraction of all married couples have 2 or 3 children ? \nOptions: a ) 1 / 5 , b ) b . 1 / 4 , c ) 1 / 20 , d ) 3 / 5 , e ) it can not be determined from the given information .", "output": [ "c" ] }, { "id": "task1420-45d5b8cf558a41c38015150ec4fb0f60", "input": "Problem: there are 17 teams in the hockey league , and each team faces all the other teams 10 times each . how many games are played in the season ? \nOptions: a ) 980 , b ) 1150 , c ) 1360 , d ) 1540 , e ) 1720", "output": [ "c" ] }, { "id": "task1420-3d2de29844d948088aeefe84992d015b", "input": "Problem: if n is a positive integer and n ^ 2 is divisible by 36 , then the largest positive integer that must divide n is \nOptions: a ) 6 , b ) 12 , c ) 24 , d ) 36 , e ) 48", "output": [ "a" ] }, { "id": "task1420-00c95cd7cbbb4e6da65dd00f73e52904", "input": "Problem: what is the units digit of ( 3 ^ 11 ) ( 4 ^ 13 ) ? \nOptions: a ) 2 , b ) 4 , c ) 6 , d ) 7 , e ) 8", "output": [ "a" ] }, { "id": "task1420-47a5cee5a6ef48f0b722853a8a7007b2", "input": "Problem: if x = 1 + √ 2 , then what is the value of x 4 - 4 x 3 + 4 x 2 + 3 ? \nOptions: a ) - 1 , b ) 0 , c ) 4 , d ) 2 , e ) 3", "output": [ "c" ] }, { "id": "task1420-2e5cf0fec3bf47d780015367477aebb2", "input": "Problem: on the number line , the number p is twice as many units from - 2 as - 2 is from 3 . if p is less than – 2 , what is the value of p ? \nOptions: a ) – 12 , b ) – 10 , c ) – 6 , d ) 10 , e ) 14", "output": [ "a" ] }, { "id": "task1420-02edfcbcbb194fc18fb6974828b69ae9", "input": "Problem: if x is an integer and 2.134 × 10 ^ x is less than 2 , 100,000 , what is the greatest possible value for x ? \nOptions: a ) 7 , b ) 6 , c ) 5 , d ) 4 , e ) 3", "output": [ "c" ] }, { "id": "task1420-6e098394ad804a738b5e03cb3429ffe6", "input": "Problem: the average salary of 15 people in the shipping department at a certain firm is $ 20,000 . the salary of 5 of the employees is $ 20,000 each and the salary of 4 of the employees is $ 16,000 each . what is the average salary of the remaining employees ? \nOptions: a ) $ 19,250 , b ) $ 18,500 , c ) $ 18,000 , d ) $ 15,850 , e ) $ 22,600", "output": [ "e" ] }, { "id": "task1420-77422afb8e8e469d8dc36f1da16bf321", "input": "Problem: the average height of 30 students in a class was calculated as 175 cm . it has later found that the height of one of the students in the class was incorrectly written as 151 cm whereas the actual height was 136 cm . what was the actual average height of the students in the class ? \nOptions: a ) 174.5 , b ) 173.5 , c ) 172.5 , d ) 171.5 , e ) 170.5", "output": [ "a" ] }, { "id": "task1420-c0c313f604a5420c9b3777cd1ce3cd31", "input": "Problem: what is the sum of the multiples of 6 from 48 to 72 , inclusive ? \nOptions: a ) 500 , b ) 600 , c ) 700 , d ) 300 , e ) 400", "output": [ "d" ] }, { "id": "task1420-2a89bb6cc3d64158979f1b22ed5fd5cd", "input": "Problem: product of two natural numbers is 3 . then , the sum of reciprocals of their squares is \nOptions: a ) 10 / 9 , b ) 1 / 289 , c ) 290 / 90 , d ) 290 / 19 , e ) none of these", "output": [ "a" ] }, { "id": "task1420-40a684efd00d4bf08a118af0a8807626", "input": "Problem: what number times ( 1 ⁄ 2 ) ^ 2 will give the value of 2 ^ 3 ? \nOptions: a ) 2 , b ) 4 , c ) 8 , d ) 16 , e ) 32", "output": [ "e" ] }, { "id": "task1420-b58e6587401b4f7984e4ac231a8fe31e", "input": "Problem: if f ( x ) = 2 x ^ 2 + y , and f ( 2 ) = 20 , what is the value of f ( 5 ) ? \nOptions: a ) 104 , b ) 60 , c ) 62 , d ) 50 , e ) 25", "output": [ "c" ] }, { "id": "task1420-c66a17624cd14e7fabc78de24869a2bf", "input": "Problem: if 625 ( 5 ^ x ) = 1 then x = \nOptions: a ) – 2 , b ) - 4 , c ) 0 , d ) - 1 , e ) 2", "output": [ "b" ] }, { "id": "task1420-463ac1303e3146cfbf6185f59aac71ce", "input": "Problem: how many positive integers less than 60 have a reminder 01 when divided by 3 ? \nOptions: a ) 13 , b ) 14 , c ) 15 , d ) 16 , e ) 20", "output": [ "e" ] }, { "id": "task1420-3fc71595d056471d80d5171353ade23b", "input": "Problem: if x and y are positive integers and x = 5 y + 7 , what is the remainder when x is divided by 5 ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4", "output": [ "c" ] }, { "id": "task1420-6d6a3cb961424c94bd949add3423c4d9", "input": "Problem: find the principle on a certain sum of money at 11 % per annum for 2 2 / 5 years if the amount being rs . 1120 ? \nOptions: a ) 1000 , b ) 812.88 , c ) 827.78 , d ) 826.82 , e ) 886.08", "output": [ "e" ] }, { "id": "task1420-711623cc7bbf4e7680b2f54ff500d1a0", "input": "Problem: find the greatest number which leaves the same remainder when it divides 25 , 50 and 120 . \nOptions: a ) 18 , b ) 5 , c ) 12 , d ) 16 , e ) none of these", "output": [ "b" ] }, { "id": "task1420-f869fa6af2fb4c38a01e8ab0c498002a", "input": "Problem: product of two natural numbers is 17 . then , the sum of reciprocals of their squares is \nOptions: a ) 290 / 289 , b ) 1 / 289 , c ) 290 / 90 , d ) 290 / 19 , e ) none of these", "output": [ "a" ] }, { "id": "task1420-4850490adabe4a8682fc0488333509a3", "input": "Problem: 5 men are equal to as many women as are equal to 8 boys . all of them earn rs . 45 only . men â € ™ s wages are ? \nOptions: a ) 6 rs , b ) 7 rs , c ) 8 rs , d ) 4 rs , e ) 3 rs", "output": [ "e" ] }, { "id": "task1420-860ef74d4eb74ab1967150cecbc54f5b", "input": "Problem: elvin ' s monthly telephone bill is the sum of the charge for the calls he made during the month and a fixed monthly charge for internet service . elvin ' s total telephone bill for january was $ 46 and elvin ' s total telephone bill for february was 76 $ . if elvin ' s charge for the calls he made in february was twice the charge for the calls he made in january , what is elvin ' s fixed monthly charge for internet service ? \nOptions: a ) $ 5 , b ) $ 10 , c ) $ 14 , d ) $ 16 , e ) $ 28", "output": [ "d" ] }, { "id": "task1420-90697b3d7222432c8cf7a02a9b588ef6", "input": "Problem: at the wholesale store you can buy an 8 - pack of hot dogs for $ 1.55 , a 20 - pack for $ 3.05 , and a 500 - pack for $ 22.95 . what is the greatest number of hot dogs you can buy at this store with $ 200 ? \nOptions: a ) 1,108 , b ) 4,100 , c ) 2,108 , d ) 2,124 , e ) 2,256", "output": [ "b" ] }, { "id": "task1420-c5b82f3947624a93ad1ed454487b7fdb", "input": "Problem: the sum of all two digit numbers divisible by 5 is \nOptions: a ) 945 , b ) 3487 , c ) 28 , d ) 279 , e ) 1287", "output": [ "a" ] }, { "id": "task1420-051342b64ec14b409e72cdbce296f3b4", "input": "Problem: find out the square of a number which when doubled exceeds its one nineth by 17 ? \nOptions: a ) 16 , b ) 25 , c ) 81 , d ) 26 , e ) 17", "output": [ "c" ] }, { "id": "task1420-0e5227d5d1e44017bf6fc636ee2c97dd", "input": "Problem: the arithmetic mean and standard deviation of a certain normal distribution are 14.5 and 1.7 , respectively . what value is exactly 2 standard deviations less than the mean ? \nOptions: a ) 10.5 , b ) 11 , c ) 11.1 , d ) 12 , e ) 12.5", "output": [ "c" ] }, { "id": "task1420-0ed53ceb6af340aa8c2c3ca740b30682", "input": "Problem: the difference of two numbers is 1365 . on dividing the larger number by the smaller , we get 6 as quotient and 15 as remainder . what is the smaller number ? \nOptions: a ) 240 , b ) 270 , c ) 295 , d ) 360 , e ) 365", "output": [ "b" ] }, { "id": "task1420-76fff3f8c26e4288bc8ec52308ca2672", "input": "Problem: the price of commodity x increases by 30 cents every year , while the price of commodity y increases by 20 cents every year . if in 2001 , the price of commodity x was $ 4.20 and the price of commodity y was $ 4.40 , in which year will commodity x cost 80 cents more than the commodity y ? \nOptions: a ) 2010 . , b ) 2011 . , c ) 2012 . , d ) 2013 . , e ) 2014 .", "output": [ "b" ] }, { "id": "task1420-0bc15314251141d9809d581ea5698aac", "input": "Problem: a gardener wants to plant trees in his garden in such a way that the number of trees in each row should be the same . if there are 4 rows or 5 rows or 6 rows , then no tree will be left . find the least number of trees required \nOptions: a ) 22 , b ) 60 , c ) 28 , d ) 76 , e ) 21", "output": [ "b" ] }, { "id": "task1420-443586b7ba8f4003bc30753d73445a7f", "input": "Problem: if a * b * c = 195 , b * c * d = 65 , c * d * e = 1000 and d * e * f = 250 the ( a * f ) / ( c * d ) = ? \nOptions: a ) 1 / 2 , b ) 1 / 4 , c ) 3 / 4 , d ) 2 / 3 , e ) none of these", "output": [ "c" ] }, { "id": "task1420-202caca2a20a4592b82d5891ee4d4082", "input": "Problem: a student chose a number , multiplied it by 6 , then subtracted 138 from the result and got 102 . what was the number he chose ? \nOptions: a ) 40 , b ) 120 , c ) 130 , d ) 140 , e ) 150", "output": [ "a" ] }, { "id": "task1420-e8317c9419104682aa3002c51d438629", "input": "Problem: how many quarters are equal to 2 dollars ? \nOptions: a ) 1 , b ) 8 , c ) 12 , d ) 9 , e ) 7", "output": [ "b" ] }, { "id": "task1420-7c7cbc7bd2d34c3e989a0ab158905e70", "input": "Problem: 5355 x 51 = ? \nOptions: a ) 273105 , b ) 273243 , c ) 273247 , d ) 273250 , e ) 273258", "output": [ "a" ] }, { "id": "task1420-0d88ede303764958b81a95a85eee867c", "input": "Problem: how many positive integers less than 5,000 are evenly divisible by neither 15 nor 22 ? \nOptions: a ) 4,514 , b ) 4,475 , c ) 4,521 , d ) 4,428 , e ) 4,349", "output": [ "a" ] }, { "id": "task1420-07fcbea387784772a2e1ef5a6a55fd53", "input": "Problem: if the price of sugar rises from rs . 2 per kg to rs . 5 per kg , a person , to have no increase in the expenditure on sugar , will have to reduce his consumption of sugar by \nOptions: a ) 15 % , b ) 20 % , c ) 25 % , d ) 30 % , e ) 60 %", "output": [ "e" ] }, { "id": "task1420-60745de6e428446ba2b3e0b681979b13", "input": "Problem: a business executive and his client are charging their dinner tab on the executive ' s expense account . the company will only allow them to spend a total of 50 $ for the meal . assuming that they will pay 7 % in sales tax for the meal and leave a 20 % tip , what is the most their food can cost ? \nOptions: a ) 39.55 $ , b ) 40.63 $ , c ) 38.63 $ , d ) 37.88 $ , e ) 35.15 $", "output": [ "c" ] }, { "id": "task1420-37e43d6f950f460cb5f8f5cd66f6a242", "input": "Problem: a baker makes chocolate cookies and peanut cookies . his recipes allow him to make chocolate cookie in batches of 7 and peanut cookies in batches of 6 . if he makes exactly 97 cookies , what is the minimum number of chocolate chip cookies he makes ? \nOptions: a ) 7 , b ) 14 , c ) 21 , d ) 35 , e ) 49", "output": [ "a" ] }, { "id": "task1420-81946704e0cf4232a624d8523b54c505", "input": "Problem: the average weight of 8 persons increases by 3.5 kg when a new person comes in place of one of them weighing 65 kg . what might be the weight of the new person ? \nOptions: a ) 75 kg , b ) 65 kg , c ) 55 kg , d ) 85 kg , e ) 93 kg", "output": [ "e" ] }, { "id": "task1420-5574e753f43a4151a7536341a7717cae", "input": "Problem: find value for x from below equation ? x + 1 = 4 \nOptions: a ) - 5 , b ) - 4 , c ) 4 , d ) 3 , e ) 2", "output": [ "d" ] }, { "id": "task1420-f331773c3d894dbd9655aebde309b4b3", "input": "Problem: a soccer store typically sells replica jerseys at a discount of 30 percent to 50 percent off list price . during the annual summer sale , everything in the store is an additional 20 percent off the original list price . if a replica jersey ' s list price is $ 80 , approximately what percent e of the list price is the lowest possible sale price ? \nOptions: a ) 20 , b ) 25 , c ) 30 , d ) 40 , e ) 50", "output": [ "d" ] }, { "id": "task1420-b9d5f74935234fc69ee4050f982b51b9", "input": "Problem: the sum of the ages of 5 children born at the intervals of 3 year each is 40 year . what is the age of the youngest child ? \nOptions: a ) 2 year , b ) 8 year , c ) 10 year , d ) none of these , e ) 9 year", "output": [ "a" ] }, { "id": "task1420-7581e0d7e8704533afea3424a3a36695", "input": "Problem: if 40 % of a number is equal to 2 / 3 of another number , what is the ratio of first number to the second number ? \nOptions: a ) 5 / 3 , b ) 3 / 5 , c ) 3 / 7 , d ) 5 / 7 , e ) 7 / 9", "output": [ "a" ] }, { "id": "task1420-102217a8b2d54c90bf7c0ccefbb4850a", "input": "Problem: if k is an integer and 0.00010101 x 10 ^ k is greater than 10 , what is the least possible value of k ? \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "c" ] }, { "id": "task1420-c5ff2ff5980847519993e0c7160f8eed", "input": "Problem: how many integers are divisible by 9 between 10 ! and 10 ! + 100 inclusive ? \nOptions: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10", "output": [ "e" ] }, { "id": "task1420-10d1435a372648f89993ab60c8383c19", "input": "Problem: if y is 90 % greater than x , than x is what % less than y ? \nOptions: a ) 35.7 % , b ) 39.8 % , c ) 43.2 % , d ) 47.4 % , e ) 51.2 %", "output": [ "d" ] }, { "id": "task1420-fd8e90c4427f45489a149c69f20a752b", "input": "Problem: this year , mbb consulting fired 8 % of its employees and left remaining employee salaries unchanged . sally , a first - year post - mba consultant , noticed that that the average ( arithmetic mean ) of employee salaries at mbb was 10 % more after the employee headcount reduction than before . the total salary pool allocated to employees after headcount reduction is what percent of that before the headcount reduction ? \nOptions: a ) 98.5 % , b ) 101.2 % , c ) 102.8 % , d ) 104.5 % , e ) 105.0 %", "output": [ "b" ] }, { "id": "task1420-d85096550a394539a49d42c5bf9b0c17", "input": "Problem: evaluate 248 + 64 − − √ − − − − − − − − − √ \nOptions: a ) 14 , b ) 26 , c ) 16 , d ) 36 , e ) 46", "output": [ "c" ] }, { "id": "task1420-84390f5da98549e795be94c5861edb82", "input": "Problem: if ( a - b - c + d = 12 ) and ( a + b - c - d = 6 ) , what is the value of ( b - d ) ^ 2 ? \nOptions: a ) 4 . , b ) 9 . , c ) 12 . , d ) 16 . , e ) 64 .", "output": [ "b" ] }, { "id": "task1420-a7d6349f2cd54368ad84185d55b7f509", "input": "Problem: the grade point average of one third of the classroom is 15 ; the grade point average of the rest is 18 . what is the grade point average of the whole class ? \nOptions: a ) 17 , b ) 19 , c ) 21 , d ) 23 , e ) 25", "output": [ "a" ] }, { "id": "task1420-f6f0bfc8c5d742039d917d646fbde2a0", "input": "Problem: 3034 - ( 1002 / 200.4 ) = ? \nOptions: a ) 2984 , b ) 3029 , c ) 2982 , d ) 2981 , e ) none of these", "output": [ "b" ] }, { "id": "task1420-204d3efab2cb43988ceba7468a108e8b", "input": "Problem: in a recent head - to - head run - off election , 12000 absentee ballets were cast . 1 / 6 of the absentee ballets were thrown out and 3 / 5 of the remaining absentee ballets were cast for candidate a . how many absentee votes did candidate b receive ? \nOptions: a ) 2,000 , b ) 3,000 , c ) 4,000 , d ) 8,000 , e ) 9,000", "output": [ "c" ] }, { "id": "task1420-b983051fa6604c47af831088e4c1d3e4", "input": "Problem: if p / q = 6 / 7 , then 2 p + q = ? \nOptions: a ) 12 , b ) 14 , c ) 13 , d ) 15 , e ) 19", "output": [ "e" ] }, { "id": "task1420-911b58c2562c4a60bf506d47c1eb606c", "input": "Problem: john purchased some shirts and trousers for $ 700 . he paid $ 400 less for the shirts than he did for the trousers . if he bought 5 shirts and the cost of a shirt is $ 20 less than that of a trouser , how many trousers did he buy ? \nOptions: a ) 4 , b ) 5 , c ) 6 , d ) 7 , e ) 11", "output": [ "e" ] }, { "id": "task1420-60495fed703b4acf96b54e2ce7ee9c79", "input": "Problem: in the first round of the elections , the only two candidates got exactly the same number of votes . during the second round , 16000 votes switched from the first candidate to the second one . the total number of votes remained the same in both rounds , and no other votes switched sides . if , in the second round , the winning candidate got 5 times as many votes as the other candidate , how many people have voted in each round ? \nOptions: a ) 15,000 , b ) 25,000 , c ) 40,000 , d ) 48,000 , e ) 60,000", "output": [ "d" ] }, { "id": "task1420-65bf62f84ac0487f9d32272b06ed7634", "input": "Problem: a tank holds x gallons of a saltwater solution that is 20 % salt by volume . one fourth of the water is evaporated , leaving all of the salt . when 7 gallons of water and 14 gallons of salt are added , the resulting mixture is 33 1 / 3 % salt by volume . what is the value of x ? \nOptions: a ) 37.5 , b ) 75 , c ) 105 , d ) 150 , e ) 175", "output": [ "c" ] }, { "id": "task1420-88598d9352ce4f45970310ec66d912fb", "input": "Problem: the sum of the first 50 positive even integers is 2550 . what is the sum w of even integers from 102 to 200 inclusive ? \nOptions: a ) 5100 , b ) 7550 , c ) 10100 , d ) 15500 , e ) 20100", "output": [ "b" ] }, { "id": "task1420-0a62287474be4b33be5916618ec6721a", "input": "Problem: what is the value of 11 ^ x - 11 ^ ( x + 2 ) , where x is the largest integer such that 11 ^ x is a factor of 30030 ? \nOptions: a ) - 1331 , b ) - 1320 , c ) - 121 , d ) - 120 , e ) - 1", "output": [ "b" ] }, { "id": "task1420-1066465deb6f42af91f42fb0a4d525e3", "input": "Problem: subash can copy 50 pages in 10 hrs . subash and prakash together can copy 300 pages in 40 hours . in how much time prakash can copy 30 pages . \nOptions: a ) 8 , b ) 10 , c ) 12 , d ) 14 , e ) 16", "output": [ "c" ] }, { "id": "task1420-bbd3aec4b3d849f98b7e1ef0f0986e72", "input": "Problem: dan ' s age after 18 years will be 8 times his age 3 years ago . what is the present age of dan ? \nOptions: a ) 4 , b ) 6 , c ) 8 , d ) 10 , e ) 12", "output": [ "b" ] }, { "id": "task1420-a3c2a275c6534d1192ddb3a1392171c3", "input": "Problem: if f ( x ) = 12 - x ^ 2 / 2 and f ( 2 k ) = 5 k , what is one possible value for k ? \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 8", "output": [ "d" ] }, { "id": "task1420-2e2927821a954dc58f658801d291e127", "input": "Problem: two trains of equal are running on parallel lines in the same direction at 42 km / hr and 36 km / hr . the faster train passes the slower train in 36 sec . the length of each train is ? \nOptions: a ) 30 m , b ) 72 m , c ) 80 m , d ) 82 m , e ) 84 m", "output": [ "a" ] }, { "id": "task1420-a976798b164044f19bd222974a0284c1", "input": "Problem: i chose a number and divide it by 6 . then i subtracted 189 from the result and got 3 . what was the number i chose ? \nOptions: a ) 1200 , b ) 1152 , c ) 1189 , d ) 1190 , e ) 100", "output": [ "b" ] }, { "id": "task1420-1786def4b616474ca6483f2ba5d2fa38", "input": "Problem: 3 people each took 5 tests . if the ranges of their scores in the 5 practice tests were 17 , 28 and 35 , 45 what is the minimum possible range in scores of the 3 test - takers ? \nOptions: a ) a 17 , b ) b ) 28 , c ) c ) 35 , d ) d ) 45 , e ) e ) 80", "output": [ "d" ] }, { "id": "task1420-9811cc4df0f44ab0ab195ee7e543bca6", "input": "Problem: if s = x ^ 4 + y ^ 4 = 100 , then the greatest possible value of x is between \nOptions: a ) 0 and 3 , b ) 3 and 6 , c ) 6 and 9 , d ) 9 and 12 , e ) 12 and 15", "output": [ "b" ] }, { "id": "task1420-50483dc1806142c5af57ca800d677c8e", "input": "Problem: what is the least number should be added to 1056 , so the sum of the number is completely divisible by 26 ? \nOptions: a ) 10 , b ) 20 , c ) 30 , d ) 40 , e ) 50", "output": [ "a" ] }, { "id": "task1420-9708e24684ac4542b13a7badcb7930ef", "input": "Problem: a sum of money is to be distributed among a , b , c , d in the proportion of 6 : 3 : 5 : 4 . if c gets rs . 1000 more than d , what is b ' s share ? \nOptions: a ) 1500 , b ) 2000 , c ) 2500 , d ) 2800 , e ) 3000", "output": [ "e" ] }, { "id": "task1420-94f26ae222a8410da3fae092121bd5f8", "input": "Problem: there are 56 lights which are functional and each is controlled by a separate on / off switch . two children x and y start playing with the switches . x starts by pressing every third switch till he reaches the end . y , thereafter , presses every fifth switch till he too reaches the end . if all switches were in off position at the beggining , how many lights are switched on by the end of this operation ? \nOptions: a ) 18 , b ) 19 , c ) 17 , d ) 15 , e ) 16", "output": [ "c" ] }, { "id": "task1420-bd533199b97f41f99cff841c347fbb8c", "input": "Problem: one half of a two digit number exceeds its one third by 7 . what is the sum of the digits of the number ? \nOptions: a ) a ) 3 , b ) b ) 5 , c ) c ) 7 , d ) d ) 9 , e ) e ) 10", "output": [ "e" ] }, { "id": "task1420-5264c0c6b43146898a816a96ae441bc1", "input": "Problem: 3 friends a , b , c went for week end party to mcdonald ’ s restaurant and there they measure there weights in some order in 7 rounds . a , b , c , ab , bc , ac , abc . final round measure is 155 kg then find the average weight of all the 7 rounds ? \nOptions: a ) 98.5 kgs , b ) 88.5 kgs , c ) 86.5 kgs , d ) 67.5 kgs , e ) 88.2 kgs", "output": [ "b" ] }, { "id": "task1420-058b0d7d143b46ff978d5e25fceb8f79", "input": "Problem: if 21 ! / 3 ^ x is an integer , what is the greatest possible value of x ? \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) d , e ) 7", "output": [ "d" ] }, { "id": "task1420-d0d86eb3e7d3494ba0359c0f5036e7b5", "input": "Problem: in a weight - lifting competition , the total weight of joe ' s two lifts was 900 pounds . if twice the weight of his first lift was 300 pounds more than the weight of his second lift , what was the weight , in pounds , of his first lift ? \nOptions: a ) 225 , b ) 275 , c ) 325 , d ) 350 , e ) 400", "output": [ "e" ] }, { "id": "task1420-4759fd54bb834a41baeddfd090059bd6", "input": "Problem: in an election between two candidates a and b , the number of valid votes received by a exceeds those received by b by 15 % of the total number of votes polled . if 20 % of the votes polled were invalid and a total of 5720 votes were polled , then how many valid votes did b get ? \nOptions: a ) 1859 , b ) 2999 , c ) 2834 , d ) 2777 , e ) 2991", "output": [ "a" ] }, { "id": "task1420-82ed7b5ca4b3466881070db17f6f891e", "input": "Problem: the closest approximation of a ( 69.28 × 0.004 ) / 0.03 is \nOptions: a ) 0.092 , b ) 0.92 , c ) 9.2 , d ) 92 , e ) 920", "output": [ "c" ] }, { "id": "task1420-cdd0b4f1cdf44f6e854508cbfdab11a3", "input": "Problem: what is the sum of all remainders obtained when the first 100 natural numbers are divided by 7 ? \nOptions: a ) 397 , b ) 401 , c ) 403 , d ) 405 , e ) 364", "output": [ "e" ] }, { "id": "task1420-10025c3ec52d4863b52d6b0d80ba884a", "input": "Problem: hyderabad chennai mumbai delhi bangalore trivandram ; hyderabad chennai mumbai delhi bangalore trivandram in the table above , what is the least number of table entries that are needed to show the mileage between each city and each of the other 5 cities ? \nOptions: a ) 20 , b ) 18 , c ) 14 , d ) 15 , e ) 16", "output": [ "d" ] }, { "id": "task1420-ed2bb211b605462cbe86df026a9b0d2a", "input": "Problem: a rower whose speed is 4 km / hr in still water rows to a certain point upstream and back to the starting point in a river which flows at 2 km / hr . what is the rower ' s average speed ( in km / hr ) for the total journey ? \nOptions: a ) 6 , b ) 4 , c ) 9 , d ) 3 , e ) 2", "output": [ "d" ] }, { "id": "task1420-d04ee8f94c354fda900d8fb513e3913c", "input": "Problem: average of 10 matches is 32 , how many runs one should should score to increase his average by 5 runs . \nOptions: a ) a ) 70 , b ) b ) 76 , c ) c ) 78 , d ) d ) 80 , e ) e ) 87", "output": [ "e" ] }, { "id": "task1420-e62b9155cb6747f2b28ca9febf1ceced", "input": "Problem: on the number line , the number p is twice as many units from - 2 as - 2 is from 4 . if p is less than – 2 , what is the value of p ? \nOptions: a ) – 14 , b ) – 10 , c ) – 6 , d ) 10 , e ) 14", "output": [ "a" ] }, { "id": "task1420-0944156b14cc42d991cb4fdca5bd7c6e", "input": "Problem: what is the sum of all possible 3 - digit numbers that can be constructed using the digits 2 , 4 , and 5 if each digit can be used only once in each number ? \nOptions: a ) 2442 , b ) 2552 , c ) 2662 , d ) 2772 , e ) 2882", "output": [ "a" ] }, { "id": "task1420-936596cb54f645e19195be5fea4dde97", "input": "Problem: if x , y , and z are positive real numbers such that x + y - z = 100 , y - z + x = 120 , and z - x + y = 50 , then find the x + y + z value ? \nOptions: a ) 100 , b ) 120 , c ) 150 , d ) 200 , e ) 160", "output": [ "b" ] }, { "id": "task1420-6a4898d7af5e4580b9567a2d5e885a97", "input": "Problem: divide rs . 1400 among a , b and c so that a receives 1 / 3 as much as b and c together and b receives 2 / 3 as a and c together . a ' s share is ? \nOptions: a ) 346 , b ) 368 , c ) 350 , d ) 337 , e ) 639", "output": [ "c" ] }, { "id": "task1420-a4766a852d094d1f9e9000a494a7ffd8", "input": "Problem: ram get 450 marks in his exam which is 90 % of total marks . what is the total marks ? \nOptions: a ) 475 , b ) 600 , c ) 550 , d ) 500 , e ) 525", "output": [ "d" ] }, { "id": "task1420-62189691ae9a49fe86dff0d93fdfb570", "input": "Problem: ? x 24 = 173 x 240 \nOptions: a ) 545 , b ) 685 , c ) 865 , d ) 1730 , e ) 534", "output": [ "d" ] }, { "id": "task1420-14a44bdd525143b593cae4363d20865f", "input": "Problem: pat , kate and mark charged a total of 189 hours to a certain project . if pat charged twice as much time to the project as kate and 1 / 3 as much times as mark , how many more hours did mark charge to the project than kate . \nOptions: a ) 18 , b ) 36 , c ) 72 , d ) 90 , e ) 105", "output": [ "e" ] }, { "id": "task1420-503cdf8440524050b140e6df39855b4d", "input": "Problem: the average of 65 numbers is 40 . if two numbers , 83 and 30 are discarded , then the average of the remaining numbers is nearly \nOptions: a ) 28.32 , b ) 39 , c ) 38.78 , d ) 29 , e ) 39.47", "output": [ "e" ] }, { "id": "task1420-4da056c2cfce489b96c577bc3fe271e0", "input": "Problem: find the quotient when total no . of divisors of 16 ! is divided by right most non - zero digit of 15 ! \nOptions: a ) 672 , b ) 682 , c ) 692 , d ) 745 , e ) 845", "output": [ "a" ] }, { "id": "task1420-a280d7034d944a4198d88434ca9b2768", "input": "Problem: how many positive integers less than 50 have a reminder 5 when divided by 7 ? \nOptions: a ) 3 , b ) 7 , c ) 4 , d ) 5 , e ) 6", "output": [ "b" ] }, { "id": "task1420-189e6c51e996431fb0df29305486f73a", "input": "Problem: in a hostel there were 100 students . to accommodate 25 more students the average is decreased by some rupees . but total expenditure increased by rs . 500 . if the total expenditure of the hostel now 8500 , find decrease of average budget ? \nOptions: a ) 20 , b ) 15 , c ) 12 , d ) 18 , e ) 24", "output": [ "c" ] }, { "id": "task1420-be1decebac9a45ca949afa35343f1aa1", "input": "Problem: in a mixture of 45 litres the ratio of milk to water is 4 : 1 . additional 11 litres of water is added to the mixture . find the ratio of milk to water in the resulting mixture . \nOptions: a ) 2 / 1 , b ) 4 / 1 , c ) 2 / 3 , d ) 9 / 5 , e ) 3 / 2", "output": [ "d" ] }, { "id": "task1420-55b807a00d8e44cdac29d2bf69c35102", "input": "Problem: set a contains all the even numbers between 22 and 70 inclusive . set b contains all the even numbers between 62 and 110 inclusive . what is the difference between the sum of elements of set b and the sum of the elements of set a ? \nOptions: a ) 600 , b ) 800 , c ) 1000 , d ) 1200 , e ) 1400", "output": [ "c" ] }, { "id": "task1420-a05458026c574fdd91ae59c4754e859d", "input": "Problem: at joes steakhouse the hourly wage for a chef is 20 % greater than that of a dishwasher , and the hourly wage of a dishwasher is half as much as the hourly wage of a manager . if a managers wage is $ 8.50 per hour , how much less than a manager does a chef earn each hour ? \nOptions: a ) $ 1.40 , b ) $ 2.40 , c ) $ 3.40 , d ) $ 4.40 , e ) $ 5.40", "output": [ "c" ] }, { "id": "task1420-6f7f108d4574429ba14a9d7274d998cd", "input": "Problem: if a - b = 3 and a ^ 2 + b ^ 2 = 35 , find the value of ab . \nOptions: a ) 12 , b ) 13 , c ) 10 , d ) 18 , e ) 13", "output": [ "b" ] }, { "id": "task1420-e4daada756e0413a8df1596f2210a68a", "input": "Problem: the tax on a commodity is diminished by 27 % and its consumption increased by 16 % . the effect on revenue is ? \nOptions: a ) 18 , b ) 16 , c ) 5 , d ) 15 , e ) 4", "output": [ "d" ] }, { "id": "task1420-e847c4aedcc74daa8b06ec5ab866575a", "input": "Problem: the captain of a cricket team of 11 members is 24 years old and the wicket keeper is 7 years older . if the ages of these two are excluded , the average age of the remaining players is one year less than the average age of the whole team . what is the average age of the team ? \nOptions: a ) 21 , b ) 22 , c ) 23 , d ) 24 , e ) 25", "output": [ "c" ] }, { "id": "task1420-ab0af231ed1f400087e15c61a30249db", "input": "Problem: the average of 11 10 prime numbers which are odd is ? \nOptions: a ) 17.72 , b ) 18.52 , c ) 19.63 , d ) 16.53 , e ) 15.63", "output": [ "a" ] }, { "id": "task1420-a122a037dc4e420781b305120cbce4a5", "input": "Problem: what number times ( 1 ⁄ 7 ) ^ 2 will give the value of 7 ^ 3 ? \nOptions: a ) 7 , b ) 49 , c ) 343 , d ) 2401 , e ) 16,807", "output": [ "e" ] }, { "id": "task1420-0ec19a4d43f14c37822eb9e6f22ff1a1", "input": "Problem: a cricketer scored 134 runs which included 12 boundaries and 2 sixes . what percent of his total score did he make by running between the wickets . \nOptions: a ) 55.22 % , b ) 54.54 % , c ) 63 % , d ) 70 % , e ) none of these", "output": [ "a" ] }, { "id": "task1420-14e111aab859497aa55f15f7004a4e44", "input": "Problem: find the sum of first 80 odd numbers \nOptions: a ) 6400 , b ) 8000 , c ) 5000 , d ) 4980 , e ) 4960", "output": [ "a" ] }, { "id": "task1420-596704daa0634eb8a229e7600eebb80b", "input": "Problem: if 80 % of a number is equal to four - third of another number , what is the ratio of first number to the second number ? \nOptions: a ) 5 : 3 , b ) 1 : 4 , c ) 3 : 7 , d ) 6 : 11 , e ) 2 : 3", "output": [ "a" ] }, { "id": "task1420-9c1ef364a7d54a1caaf9b39953d45364", "input": "Problem: if a tap could fill entire tank in 18 hrs due to leakage , then in how much time tank can be emptied by leakage if tap can fill entire tank in 12 hrs without leakage ? \nOptions: a ) 35 hrs , b ) 36 hrs , c ) 37 hrs , d ) 38 hrs , e ) 39 hrs", "output": [ "b" ] }, { "id": "task1420-7145da752e2042919d241d265ae3ba2f", "input": "Problem: at a contest with 2000 participants , 1 / 2 of the people are aged 16 to 18 . next year , the number of people aged 16 to 18 will increase by 1 / 4 . after this change , what percentage of the total 2000 people will the 16 - to 18 - year - olds represent ? \nOptions: a ) 62.50 % , b ) 60 % , c ) 70 % , d ) 65 % , e ) 66 / 3 %", "output": [ "a" ] }, { "id": "task1420-de1a8302f6754b359177b96d102f2f45", "input": "Problem: for any number y , y * is defined as the greatest positive even integer less than or equal to y . what is the value of 8.2 – 8.2 * ? \nOptions: a ) 0.2 , b ) 1.2 , c ) 1.8 , d ) 2.2 , e ) 4.0", "output": [ "d" ] }, { "id": "task1420-129201ec995e46a78f169d95638c107a", "input": "Problem: solve below question 2 x + 1 = - 15 \nOptions: a ) - 8 , b ) - 9 , c ) 9 , d ) 8 , e ) - 7", "output": [ "a" ] }, { "id": "task1420-633356e6de744d3993d8c887e2db3a97", "input": "Problem: a sum of money is to be divided among ann , bob and chloe . first , ann receives $ 4 plus one - half of what remains . next , bob receives $ 4 plus one - third of what remains . finally , chloe receives the remaining $ 32 . how much money n did bob receive ? \nOptions: a ) 20 , b ) 22 , c ) 24 , d ) 26 , e ) 52", "output": [ "b" ] }, { "id": "task1420-3292b69baa0f4026b3564fe92bc5f963", "input": "Problem: a grocer is storing soap boxes in cartons that measure 25 inches by 42 inches by 60 inches . if the measurement of each soap box is 7 inches by 6 inches by 6 inches , then what is the maximum number of soap boxes that can be placed in each carton ? \nOptions: a ) 210 , b ) 252 , c ) 250 , d ) 300 , e ) 420", "output": [ "c" ] }, { "id": "task1420-9a92288fc57b44bea105598663001a60", "input": "Problem: in a group of cows and hens , the number of legs are 20 more than twice the number of heads . the number of cows is : \nOptions: a ) 5 , b ) 6 , c ) 7 , d ) 10 , e ) 12", "output": [ "d" ] }, { "id": "task1420-0c205c6c6bc746608853d6de796628bc", "input": "Problem: if the number is divided by 3 , it reduced by 24 . the number is \nOptions: a ) a ) 51 , b ) b ) 50 , c ) c ) 45 , d ) d ) 40 , e ) e ) 36", "output": [ "e" ] }, { "id": "task1420-f74ea5c8023e482bbf698bdcaf4050d5", "input": "Problem: how many positive even integers less than 100 contain digits 5 or 7 ? \nOptions: a ) 10 , b ) 17 , c ) 18 , d ) 19 , e ) 20", "output": [ "a" ] }, { "id": "task1420-377b8af5f78c4ec4a40dbd093ccbc9b5", "input": "Problem: the milk level in a rectangular box measuring 62 feet by 25 feet is to be lowered by 6 inches . how many gallons of milk must be removed ? ( 1 cu ft = 7.5 gallons ) \nOptions: a ) 100 , b ) 250 , c ) 750 , d ) 5812.5 , e ) 5835.5", "output": [ "d" ] }, { "id": "task1420-dc418d721e5244e9b722e19a6c6d363d", "input": "Problem: the maximum number of students among them 1345 pens and 775 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is : \nOptions: a ) 91 , b ) 10 , c ) 6 , d ) 5 , e ) none of these", "output": [ "d" ] }, { "id": "task1420-65b9c543d4224277bf563e242e584cc8", "input": "Problem: there are 3 workers in the factory a , b , c . the age of a is 4 more than the age of b and the age of b is 4 more than the age of c . if the sum of the square of the ages is 1202 . what is the sum of their ages ? \nOptions: a ) 50 , b ) 55 , c ) 60 , d ) 65 , e ) 70", "output": [ "c" ] }, { "id": "task1420-3794f035720e46f39d5a803bedbd2506", "input": "Problem: at the end of the day , february 14 th , a florist had 120 roses left in his shop , all of which were red , white or pink in color and either long or short - stemmed . a third of the roses were short - stemmed , 30 of which were white and 5 of which were pink . the percentage of pink roses that were short - stemmed equaled the percentage of red roses that were short - stemmed . if none of the long - stemmed roses were white , what percentage of the long - stemmed roses were red ? \nOptions: a ) 20 % , b ) 25 % , c ) 50 % , d ) 75 % , e ) 80 %", "output": [ "e" ] }, { "id": "task1420-4fbef828eab04643bfcd2fe8aea77579", "input": "Problem: how many multiples of 5 are there between 10 and 100 , exclusive ? \nOptions: a ) 18 , b ) 17 , c ) 16 , d ) 15 , e ) 14", "output": [ "b" ] }, { "id": "task1420-ace69f4cf82842dea77852b5e29cd5e8", "input": "Problem: rahim bought 55 books for rs . 1500 from one shop and 60 books for rs . 340 from another . what is the average price he paid per book ? \nOptions: a ) s . 17 , b ) s . 18 , c ) s . 16 , d ) s . 11 , e ) s . 10", "output": [ "c" ] }, { "id": "task1420-4f22007813d74f20a36a792c80b02b44", "input": "Problem: if x is a number such that x ^ 2 + 2 x - 24 = 0 and x ^ 2 - 5 x + 4 = 0 , then x = \nOptions: a ) 4 , b ) - 4 , c ) - 3 , d ) - 6 , e ) 1", "output": [ "a" ] }, { "id": "task1420-6e7afed6c8324fd1ba0edcff75ae8564", "input": "Problem: what least number should be added to 1052 , so that the sum is completely divisible by 23 \nOptions: a ) a ) 4 , b ) b ) 1 , c ) c ) 6 , d ) d ) 3 , e ) e ) 5", "output": [ "c" ] }, { "id": "task1420-2956f51fadbc47b5821f45839f63f918", "input": "Problem: a certain characteristic in a large population has a distribution that is symmetric about the mean m . if 68 percent of the distribution lies within one standard deviation d of the mean , what percent f of the distribution is less than m + d ? \nOptions: a ) 16 % , b ) 32 % , c ) 48 % , d ) 84 % , e ) 92 %", "output": [ "d" ] }, { "id": "task1420-30e7310617fe4859bc32389723b35ef8", "input": "Problem: find the value of x : 3 x ^ 2 - 6 x + 3 = 0 \nOptions: a ) - 1 , b ) 1 , c ) 2 , d ) 3 , e ) 4", "output": [ "b" ] }, { "id": "task1420-3aca6b939e154fa6ac1c83563524d065", "input": "Problem: the two lines y = x and x = - 4 intersect on the coordinate plane . if z represents the area of the figure formed by the intersecting lines and the x - axis , what is the side length q of a cube whose surface area is equal to 6 z ? \nOptions: a ) q = 16 , b ) q = 8 √ 2 , c ) q = 8 , d ) q = 2 √ 2 , e ) ( √ 2 ) / 3", "output": [ "d" ] }, { "id": "task1420-1c9926f76777463da99ea49fb3c46e6c", "input": "Problem: how many positive integers less than 240 are multiple of 4 but not multiples of 6 ? \nOptions: a ) 40 , b ) 31 , c ) 42 , d ) 53 , e ) 64", "output": [ "a" ] }, { "id": "task1420-ef74e0e538b44526b3394319795a66aa", "input": "Problem: rs . 585 is divided amongst a , b , c so that 4 times a ' s share , 6 times b ' s share and 3 times c ' s share are all equal . find c ' s share ? \nOptions: a ) 260 , b ) 150 , c ) 817 , d ) 716 , e ) 616", "output": [ "a" ] }, { "id": "task1420-83ec8f0c213f48209afcbafa4ce58231", "input": "Problem: the average runs scored by a batsman in 15 matches is 30 . in the next 20 matches the batsman scored an average of 15 runs . find his average in all the 30 matches ? \nOptions: a ) 31.56 , b ) 25.65 , c ) 21.43 , d ) 28.36 , e ) 27.96", "output": [ "c" ] }, { "id": "task1420-a44e962668f04413bd968cae5658870c", "input": "Problem: if p and q are prime numbers , how many divisors does the product p ^ 6 * q ^ 7 have ? \nOptions: a ) 40 , b ) 56 , c ) 60 , d ) 62 , e ) 70", "output": [ "b" ] }, { "id": "task1420-81dd838273ce41e3bef0d2e8b0f2f15c", "input": "Problem: a grocer is storing soap boxes in cartons that measure 25 inches by 48 inches by 60 inches . if the measurement of each soap box is 8 inches by 6 inches by 5 inches , then what is the maximum number of soap boxes that can be placed in each carton ? \nOptions: a ) 210 , b ) 252 , c ) 280 , d ) 320 , e ) 300", "output": [ "e" ] }, { "id": "task1420-c9cd7e9717464818aea5731d801f34ad", "input": "Problem: the average weight of a class of 24 students is 35 kg . if the weight of the teacher be included , the average rises by 400 g . the weight of the teacher is : \nOptions: a ) 45 , b ) 46 , c ) 47 , d ) 48 , e ) 49", "output": [ "a" ] }, { "id": "task1420-316ab06a897a4095a173804d36803431", "input": "Problem: if an integer n is to be chosen at random from the integers 1 to 96 , inclusive , what is the probability that n ( n + 1 ) ( n + 2 ) will be divisible by 12 ? \nOptions: a ) 1 / 48 , b ) 234 / 8 , c ) 1 / 24 , d ) 5 / 8 , e ) 3 / 4", "output": [ "b" ] }, { "id": "task1420-a5e5a9f56522457b81fcbe86352f1998", "input": "Problem: how many integers between 324,700 and 436,600 have tens digit 1 and units digit 3 ? \nOptions: a ) 327 , b ) 645 , c ) 987 , d ) 1119 , e ) 1339", "output": [ "d" ] }, { "id": "task1420-d8218d93930442ab8667212b13227289", "input": "Problem: if a certain number x is divided by 62 , the reminder is 7 . what is the reminder when x + 11 is divided by 31 ? \nOptions: a ) 3 , b ) 5 , c ) 18 , d ) 6 , e ) 8", "output": [ "c" ] }, { "id": "task1420-882838dc766443ef89880d18081e4333", "input": "Problem: 10 years ago a was half of b in age . if the ratio of their present ages is 3 : 4 , what will be the total of their present ages \nOptions: a ) 30 , b ) 35 , c ) 37 , d ) 41 , e ) 43", "output": [ "b" ] }, { "id": "task1420-3187235289de4f4992d82b1efd0ce38a", "input": "Problem: the average of first five multiples of 6 is ? \nOptions: a ) 6 , b ) 18 , c ) 9 , d ) 5 , e ) 7", "output": [ "b" ] }, { "id": "task1420-6d66bd2529354450a97fb37db2d6e456", "input": "Problem: if the sum of two numbers is 12 and the sum of their squares is 124 , then the product of the numbers is \nOptions: a ) 10 , b ) 44 , c ) 80 , d ) 88 , e ) 90", "output": [ "a" ] }, { "id": "task1420-d3021cd279214deb801fc2a4c3f7894c", "input": "Problem: 16.02 ã — 0.0001 = ? \nOptions: a ) 0.1602 , b ) 0.001602 , c ) 1.6021 , d ) 0.01602 , e ) none of these", "output": [ "b" ] }, { "id": "task1420-a314656002774a40a762aeda0e62bb9b", "input": "Problem: 12 years ago , p was half of q in age . if the ratio of their present ages is 3 : 4 , what will be the total of their present ages \nOptions: a ) a ) 35 , b ) b ) 34 , c ) c ) 42 , d ) d ) 25 , e ) e ) 26", "output": [ "c" ] }, { "id": "task1420-253031f44c7c4ffdbbba0644077601ab", "input": "Problem: calculate the value of n from the below equation : y ^ 4 â ˆ ’ 20 y + 1 = 22 \nOptions: a ) 5 , b ) 3 , c ) 6 , d ) 2 , e ) 1", "output": [ "b" ] }, { "id": "task1420-d05553947768486eb79a6d3514cd8575", "input": "Problem: 3 friends a , b , c went for week end party to mcdonald ’ s restaurant and there they measure there weights in some order in 7 rounds . a , b , c , ab , bc , ac , abc . final round measure is 160 kg then find the average weight of all the 7 rounds ? \nOptions: a ) 91.4 kgs , b ) 88.5 kgs , c ) 86.5 kgs , d ) 67.5 kgs , e ) 88.2 kgs", "output": [ "a" ] }, { "id": "task1420-1ced07f6fbd543aa82c53a72165ef552", "input": "Problem: find the ones digit of 73 ^ 300 \nOptions: a ) 3 , b ) 5 , c ) 6 , d ) 7 , e ) 10", "output": [ "e" ] }, { "id": "task1420-9e802e04b5864755aa0a6e09bd89103e", "input": "Problem: if n is a positive integer and n ^ 2 is divisible by 18 , then what is the largest positive integer that must divide n ? \nOptions: a ) 3 , b ) 4 , c ) 6 , d ) 8 , e ) 9", "output": [ "c" ] }, { "id": "task1420-5e4f371998f74ac0affeca04f5b47a70", "input": "Problem: if a ( a - 2 ) = 2 and b ( b - 2 ) = 2 , where a ≠ b , then a + b = \nOptions: a ) − 1 , b ) − 2 , c ) 4 , d ) 46 , e ) 48", "output": [ "a" ] }, { "id": "task1420-5feeb378e4134ba5aa3a745eeb9c4ecb", "input": "Problem: the standard deviation of a normal distribution of data is 2 , and 3 standard deviations below the mean is greater than 48 . what is a possible value for the mean of the distribution ? \nOptions: a ) 46 , b ) 47 , c ) 48 , d ) 55 , e ) 50", "output": [ "d" ] }, { "id": "task1420-2cb6ec69e3e04b899057b1c3a6e177e5", "input": "Problem: 397 x 397 + 104 x 104 + 2 x 400 x 104 = x ? \nOptions: a ) 234341 , b ) 235633 , c ) 234677 , d ) 315656 , e ) 251501", "output": [ "e" ] }, { "id": "task1420-4eb965ba9c3d483f9c38e74f00bbe242", "input": "Problem: 35 liters of a mixture is created by mixing liquid p and liquid q in the ratio 4 : 3 . how many liters of liquid q must be added to make the ratio 5 : 7 ? \nOptions: a ) 10 , b ) 11 , c ) 12 , d ) 13 , e ) 14", "output": [ "d" ] }, { "id": "task1420-accfa12b4cf846ddba0c3109f692084b", "input": "Problem: evaluate : 59 - 12 * 3 * 2 = ? \nOptions: a ) 42 , b ) 51 , c ) 62 , d ) 72 , e ) 82", "output": [ "b" ] }, { "id": "task1420-97678d839b964a448288d8884aa32bdc", "input": "Problem: the manager at a health foods store mixes a unique superfruit juice cocktail that costs $ 1399.45 per litre to make . the cocktail includes mixed fruit juice and a ç ai berry juice , which cost $ 262.85 per litre and $ 3104.35 per litre , respectively . the manager has already opened 33 litres of the mixed fruit juice . how many litres of the a ç ai berry juice does he need to add ? \nOptions: a ) 17 litres , b ) 22 litres , c ) 11 litres , d ) 07 litres , e ) 38 litres", "output": [ "b" ] }, { "id": "task1420-c402fce49617415b82a96bf3aff97629", "input": "Problem: a salesman ’ s terms were changed from a flat commission of 5 % on all his sales to a fixed salary of rs . 900 plus 2.5 % commission on all sales exceeding rs . 4,000 . if his remuneration as per new scheme was rs . 600 more than that by the previous schema , his sales were worth ? \nOptions: a ) 10000 , b ) 12000 , c ) 12019 , d ) 12197 , e ) 12012", "output": [ "a" ] }, { "id": "task1420-9d26104cb91d4d76ad0093fba4c4cd38", "input": "Problem: company x provides bottled water to its employees in 1 liter bottles , $ 2 each . at least how many 1 l bottles must company x buy monthly , so that new contract with $ 50 fixed monthly rate and $ 1 for 10 l bottle each paid off ? ( assume that no other costs apply ) \nOptions: a ) 28 , b ) 29 , c ) 30 , d ) 31 , e ) 27", "output": [ "e" ] }, { "id": "task1420-32452726295942fb9921deb289a8bb68", "input": "Problem: a new home buyer pays 4 % annual interest on her first mortgage and 9 % annual interest on her second mortgage . if she borrowed a total of $ 300,000 , 80 % of which was in the first mortgage , what is her approximate monthly interest payment ? \nOptions: a ) $ 1,250 , b ) $ 1,733 , c ) $ 3,466 , d ) $ 13,333 , e ) $ 20,796", "output": [ "a" ] }, { "id": "task1420-9ba5139e1fd1485b812e59c4006558ee", "input": "Problem: an old man distributed all the gold coins he had to his two sons into two different numbers such that the difference between the squares of the two numbers is 81 times the difference between the two numbers . how many coins did the old man have ? \nOptions: a ) 24 , b ) 26 , c ) 30 , d ) 81 , e ) 40", "output": [ "d" ] }, { "id": "task1420-5fccfa5eac3743c0ad63dabc1c76c7e0", "input": "Problem: if 15 ! / 3 ^ x is an integer , what is the greatest possible value of x ? \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "d" ] }, { "id": "task1420-53bdef72596343bfa577852df08681c0", "input": "Problem: how many numbers from 10 to 50 are exactly divisible by 3 . \nOptions: a ) 13 , b ) 14 , c ) 16 , d ) 17 , e ) 19", "output": [ "a" ] }, { "id": "task1420-c5bd00275ef5444ab120672f32d473a8", "input": "Problem: in how many no . between 10 and 20 exactly two of the digits is 1 ? \nOptions: a ) 25 , b ) 35 , c ) 10 , d ) 1 , e ) 15", "output": [ "d" ] }, { "id": "task1420-f1fcec2f29624c1191c201504af1159a", "input": "Problem: kamal obtained 66 , 65 , 77 , 62 and 75 marks ( out of 100 ) in english , mathematics , physics , chemistry and biology . what are his average marks ? \nOptions: a ) 65 , b ) 69 , c ) 72 , d ) 75 , e ) none", "output": [ "b" ] }, { "id": "task1420-508fe849ba5b4196b76d0d7b0b7e10cd", "input": "Problem: sum of two numbers is 25 and their difference is 13 . find their product . \nOptions: a ) 104 , b ) 108 , c ) 114 , d ) 124 , e ) 142", "output": [ "c" ] }, { "id": "task1420-7b818dd232b54e42b9cc1882614e8b94", "input": "Problem: the area of one square is x ^ 2 + 10 x + 25 and the area of another square is 4 x ^ 2 − 20 x + 25 . if the sum of the perimeters of both squares is 36 , what is the value of x ? \nOptions: a ) 3 , b ) 5 , c ) 7 , d ) 9 , e ) 11", "output": [ "a" ] }, { "id": "task1420-b5913a43be1d43adba616fb684805929", "input": "Problem: if xy = 9 , x / y = 36 , for positive numbers x and y , y = ? \nOptions: a ) 1 / 2 , b ) 2 , c ) 1 / 3 , d ) 3 , e ) 1 / 6", "output": [ "a" ] }, { "id": "task1420-d4c6e06251a243b3ae72b3144cd3a95d", "input": "Problem: if 30 % of ( x - y ) = 20 % of ( x + y ) , then what percent of x is y ? \nOptions: a ) 50.5 % , b ) 44.4 % , c ) 22.2 % , d ) 33.3 % , e ) 20 %", "output": [ "e" ] }, { "id": "task1420-4641426dc66c4f5ab4fb6ef464fef303", "input": "Problem: n is a whole number which when divided by 4 gives 3 as remainder . what will be the remainder when 2 n is divided by 4 ? \nOptions: a ) 3 , b ) 2 , c ) 1 , d ) 0 , e ) 5", "output": [ "b" ] }, { "id": "task1420-e6cd012bdd43466e98b3e3f519e92c33", "input": "Problem: in a box of 12 pens , a total of 4 are defective . if a customer buys 3 pens selected at random from the box , what is the probability that neither pen will be defective ? \nOptions: a ) 1 / 6 , b ) 2 / 55 , c ) 14 / 55 , d ) 12 / 55 , e ) 3 / 4", "output": [ "c" ] }, { "id": "task1420-988eda3824f4481282b3bc2acdfa2386", "input": "Problem: how many different pairs of positive integers ( a , b ) satisfy the equation 1 / a + 1 / b = 34 / 51 ? \nOptions: a ) 6 , b ) 3 , c ) 2 , d ) 1 , e ) 0", "output": [ "e" ] }, { "id": "task1420-4c8f81c75ebf42ca8e229ef5dfd7a13f", "input": "Problem: a , b , c subscribe rs . 50,000 for a business . if a subscribes rs . 4000 more than b and b rs . 5000 more than c , out of a total profit of rs . 37,000 , what will be the amount a receives ? \nOptions: a ) 14700 , b ) 14500 , c ) 14900 , d ) 14300 , e ) 15540", "output": [ "e" ] }, { "id": "task1420-63feb9e8fcde4efaa77bce5775567876", "input": "Problem: robert ' s salary was decreased by 20 % and subsequently increased by 20 % . how much percentage does he lose ? \nOptions: a ) 4 % , b ) 20 % , c ) 25 % , d ) 30 % , e ) 50 %", "output": [ "a" ] }, { "id": "task1420-ea1436e044364153a220849d0e60b48e", "input": "Problem: what is the decimal equivalent of ( 1 / 4 ) ^ 4 ? \nOptions: a ) 0.0039 , b ) 0.0625 , c ) 0.16 , d ) 0.25 , e ) 0.5", "output": [ "a" ] }, { "id": "task1420-9eeb576613034affa29bb3a66336de0a", "input": "Problem: a rainstorm increased the amount of water stored in state j reservoirs from 124 billion gallons to 140 billion gallons . if the storm increased the amount of water in the reservoirs to 80 percent of total capacity , approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm ? \nOptions: a ) 51 , b ) 48 , c ) 55 , d ) 63 , e ) 65", "output": [ "a" ] }, { "id": "task1420-9545c584d6be429fa9e949a596a31567", "input": "Problem: a man whose speed is 6.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph , find his average speed for the total journey ? \nOptions: a ) 5.33 kmph , b ) 6.00 kmph , c ) 5.00 kmph , d ) 6.00 kmph , e ) 4.00 kmph", "output": [ "a" ] }, { "id": "task1420-dfa439ba7d9e422ca20116429c71aa86", "input": "Problem: in a group of ducks and cows , the total number of legs are 8 more than twice the no . of heads . find the total no . of buffaloes . \nOptions: a ) 5 , b ) 4 , c ) 6 , d ) 3 , e ) 2", "output": [ "b" ] }, { "id": "task1420-8c5e3b7b267741f7bd07907aafef2638", "input": "Problem: if k is a non - negative integer and 15 ^ k is a divisor of 823,435 then 5 ^ k - k ^ 5 = \nOptions: a ) 0 , b ) 1 , c ) 35 , d ) 120 , e ) 245", "output": [ "b" ] }, { "id": "task1420-3dbf83e9afc04a4d83d994bd1445dded", "input": "Problem: two kinds of vodka are mixed in the ratio 1 : 2 and 2 : 1 and they are sold fetching the profit 10 % and 30 % respectively . if the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4 / 3 and 5 / 3 times respectively , then the mixture will fetch the profit of \nOptions: a ) 18 % , b ) 20 % , c ) 30 % , d ) 23 % , e ) can not be determined", "output": [ "c" ] }, { "id": "task1420-38993f48eb664dfb86edc5f50a50e786", "input": "Problem: when average age of 22 members are 0 , how many members greater than 0 ? \nOptions: a ) 17 , b ) 21 , c ) 22 , d ) 24 , e ) 25", "output": [ "b" ] }, { "id": "task1420-943e5593828342cbb2f688427562f71d", "input": "Problem: 3 friends a , b , c went for week end party to mcdonald ’ s restaurant and there they measure there weights in some order in 7 rounds . a , b , c , ab , bc , ac , abc . final round measure is 140 kg then find the average weight of all the 7 rounds ? \nOptions: a ) 98.5 kgs , b ) 80 kgs , c ) 76.5 kgs , d ) 67.5 kgs , e ) 58.2 kgs", "output": [ "b" ] }, { "id": "task1420-a2dbde01b6924cc9a2c91eaf2cc3bbb4", "input": "Problem: if ( a – b ) is 15 more than ( c + d ) and ( a + b ) is 3 less than ( c – d ) , then ( a – c ) is : \nOptions: a ) 6 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "a" ] }, { "id": "task1420-813aef3c5e6343c39121b7c6de9647cf", "input": "Problem: gold is 10 times as heavy as water and copper is 6 times as heavy as water . in what ratio should these be mixed to get an alloy 8 times as heavy as water ? \nOptions: a ) 3 : 2 , b ) 1 : 1 , c ) 3 : 1 , d ) 5 : 2 , e ) 4 : 3", "output": [ "b" ] }, { "id": "task1420-4b6ba8ce9e454679b4727aae5ccf4dcc", "input": "Problem: there are 2 white plates , 6 green plates , 8 red plates , 4 pink plates , and 10 purple plates in the cabinet . what is the least number of plates that you have to pull out to make sure that you will have a matching pair ? ( assume that all the plates are identical except for the color ) \nOptions: a ) 2 , b ) 4 , c ) 12 , d ) 7 , e ) 6", "output": [ "e" ] }, { "id": "task1420-3b333f61a6e942958f921e0c70a840c4", "input": "Problem: a car ferry can hold up to 60 tons of cargo . what is the greatest number of vehicles that the ferry can carry if half the vehicles are cars with an average ( arithmetic mean ) weight of 0.75 tons and half of the vehicles are trucks with an average ( arithmetic mean ) weight of 5 tons ? \nOptions: a ) 10 , b ) 12 , c ) 16 , d ) 18 , e ) 20", "output": [ "e" ] }, { "id": "task1420-a8b9c7707adc410ab8f6c4b19b8426cb", "input": "Problem: a set of consecutive positive integers beginning with 1 is written on the blackboard . a student came along and erased one number . the average of the remaining numbers is 35 7 / 17 . what was the number erased ? \nOptions: a ) seven 7 , b ) 8 , c ) 9 , d ) 15 , e ) 17", "output": [ "a" ] }, { "id": "task1420-1b7bcf66eb4740958b5b4e690a4fffc8", "input": "Problem: a paint store mixes 3 / 4 pint of red paint and 2 / 3 pint of white paint to make a new paint color called perfect pink . how many pints of red paint would be needed to make 35 pints of perfect pink paint ? \nOptions: a ) 9 , b ) 16 , c ) 19 , d ) 25 1 / 3 , e ) 28 1 / 2", "output": [ "c" ] }, { "id": "task1420-2f209487f1724c8b81a8c0a5e9095e94", "input": "Problem: the sum of the ages of 5 children born at the intervals of 3 year each is 40 year . what is the age of the eldest child ? \nOptions: a ) 14 year , b ) 8 year , c ) 10 year , d ) none of these , e ) 9 year", "output": [ "a" ] }, { "id": "task1420-8c397bdd1eab40ef8e7a51becd2bb807", "input": "Problem: in the coordinate plane , points ( x , 5 ) and ( 7 , y ) are on line k . if line k passes through the origin and has slope 5 / 7 , then x + y = \nOptions: a ) 13 , b ) 14 , c ) 9 , d ) 10 , e ) 12", "output": [ "e" ] }, { "id": "task1420-de2ef6c6743447f9bf4f08bc90164cad", "input": "Problem: the age of somu is one - third his father ' s . 10 years back he was one - fifth of his father ' s age . what is his persent age ? \nOptions: a ) 11 , b ) 13 , c ) 14 , d ) 12 , e ) 20", "output": [ "e" ] }, { "id": "task1420-4b27e24a86fd499b91bc5b15c947558a", "input": "Problem: when the price of sugar was increased by 32 % , a family reduced its consumption in such a way that the expenditure on sugar was only 10 % more than before . if 30 kg were consumed per month before , find the new monthly consumption . \nOptions: a ) 20 kg , b ) 25 kg , c ) 30 kg , d ) 35 kg , e ) none of these", "output": [ "b" ] }, { "id": "task1420-5311f2be1a0b42ab96c589f64c5cd4af", "input": "Problem: the average age of 21 students of a class is 21 years . out of these , the average age of 5 students is 14 years and that of the other 9 students is 16 years , the age of the 21 th student is \nOptions: a ) 164 , b ) 152 , c ) 100 , d ) 182 , e ) 195", "output": [ "a" ] }, { "id": "task1420-279bf164ac7d44cfa8a845e126bd4bf6", "input": "Problem: if m is an integer such that ( - 2 ) ^ 2 m = 2 ^ ( 15 - m ) then m = ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 5 , e ) 6", "output": [ "d" ] }, { "id": "task1420-b33eb4eb63f441c5b5ffb6df325403da", "input": "Problem: each of 3 investments has a 20 % of becoming worthless within a year of purchase , independently of what happens to the other two investments . if simone invests an equal sum v in each of these 3 investments on january 1 , the approximate chance that by the end of the year , she loses no more than 1 / 3 of her original investment is \nOptions: a ) 90 % , b ) 80 % , c ) 70 % , d ) 60 % , e ) 40 %", "output": [ "a" ] }, { "id": "task1420-c1909364f4d84bf78767ce72fcd24310", "input": "Problem: ( 17 ) 3.5 x ( 17 ) ? = 178 \nOptions: a ) 2.29 , b ) 2.75 , c ) 4.25 , d ) 4.5 , e ) none of these", "output": [ "d" ] }, { "id": "task1420-e8bbf98e6f6647bca5d8a32fc0d54aa1", "input": "Problem: a bell curve ( normal distribution ) has a mean of − 1 and a standard deviation of 1 / 8 . how many integer values z are within 3 standard deviations of the mean ? \nOptions: a ) 0 , b ) 1 , c ) 3 , d ) 6 , e ) 7", "output": [ "b" ] }, { "id": "task1420-40d701b6abbd42f4ac91c599f4b0a436", "input": "Problem: if xy > 0 , 1 / x + 1 / y = 6 , and 1 / xy = 5 , then ( x + y ) / 6 = ? \nOptions: a ) 1 / 25 , b ) 1 / 6 , c ) 1 / 5 , d ) 5 , e ) 6", "output": [ "c" ] }, { "id": "task1420-dc67a9c3dc744dbb8f6d1affd14995c5", "input": "Problem: a sum of money is put out at compound interest for 2 years at 20 % . it would fetch rs . 482 more if the interest were payable half - yearly , then it were pay able yearly . find the sum ? \nOptions: a ) 2099 , b ) 6086 , c ) 2976 , d ) 2000 , e ) 3862", "output": [ "d" ] }, { "id": "task1420-e23ab06a43404d438c0b5efe3c973e40", "input": "Problem: how many multiples of 7 are there between 14 and 343 , exclusive ? \nOptions: a ) 48 , b ) 47 , c ) 46 , d ) 45 , e ) 44", "output": [ "c" ] }, { "id": "task1420-572baa34bf994b6ebe45396dbe25d8df", "input": "Problem: dacid obtained 96 , 95 , 82 , 87 and 92 marks ( out of 100 ) in english , mathematics , physics , chemistry and biology . what are his average marks ? \nOptions: a ) 67 , b ) 26 , c ) 87 , d ) 26 , e ) 90", "output": [ "e" ] }, { "id": "task1420-6fb6246d49754ca7b31691583e7908dd", "input": "Problem: some consecutive natural numbers , starting with 1 , are written on the board . now , one of the numbers was erased and the average of the remaining numbers is 800 / 39 . find the number which was erased . \nOptions: a ) 20 , b ) 87 , c ) 266 , d ) 288 , e ) 11", "output": [ "a" ] }, { "id": "task1420-100add41fde04d67880e988e4935e0d4", "input": "Problem: the average weight of a , b and c is 44 kg . if the average weight of a and b be 40 kg and that of b and c be 43 kg , then the weight of b is : \nOptions: a ) 17 kg , b ) 28 kg , c ) 26 kg , d ) 31 kg , e ) 35 kg", "output": [ "b" ] }, { "id": "task1420-c081a8c1af044cd388d936a04e8086e7", "input": "Problem: rahul played weel in this season . his current batting averagge is 51 . if he score 69 runs in today match . his batting average will become 54 . how many matches had he played in this season . \nOptions: a ) 8 , b ) 10 , c ) 9 , d ) 6 , e ) 5", "output": [ "e" ] }, { "id": "task1420-841c7085f4b440deabc19d9dbdb9879a", "input": "Problem: a batsman makes a score of 82 runs in the 17 th inning and thus increases his averages by 3 . what is his average after 17 th inning ? \nOptions: a ) 25 , b ) 31 , c ) 27 , d ) 29 , e ) 34", "output": [ "e" ] }, { "id": "task1420-ccd70b8156204090a00cedc8647e62b2", "input": "Problem: jack , jill , and sandy each have one try to make a basket from half court . if their individual probabilities of making the basket are 1 / 6 , 1 / 7 , and 1 / 8 respectively , what is the probability that jill and sandy will make a basket but jack will miss ? \nOptions: a ) 3 / 168 , b ) 5 / 168 , c ) 7 / 168 , d ) 5 / 336 , e ) 7 / 336", "output": [ "d" ] }, { "id": "task1420-e2b7b41011c0427aa234950c705f8343", "input": "Problem: you and your friend spent a total of $ 11 for lunch . your friend spent $ 3 more than you . how much did your friend spend on their lunch ? \nOptions: a ) $ 9 , b ) $ 3 , c ) $ 7 , d ) $ 6 , e ) $ 5", "output": [ "c" ] }, { "id": "task1420-18ab647a7cdf42b5a25d865a7b59546e", "input": "Problem: if x is a sum of all even integers on the interval 13 . . . 55 and y is their number , what is the gcd ( x , y ) ? \nOptions: a ) 1 , b ) 21 , c ) 26 , d ) 52 , e ) 1014", "output": [ "b" ] }, { "id": "task1420-8d4c839f5ebd43789874a54de73650d7", "input": "Problem: the difference between a positive proper fraction and its reciprocal is 9 / 20 . the fraction is \nOptions: a ) 4 / 5 , b ) 7 / 11 , c ) 7 / 13 , d ) 7 / 15 , e ) 8 / 11", "output": [ "a" ] }, { "id": "task1420-649afe86ced24262bb08c2313042bfac", "input": "Problem: what is the average of 120 , 130 , 140 , 510 , 520 , 530 , 1115 , 1120 , and 1125 ? \nOptions: a ) 419 , b ) 551 , c ) 601 , d ) 590 , e ) 721", "output": [ "d" ] }, { "id": "task1420-f00735a387b042a0a1f300c27eea51d8", "input": "Problem: if 20 % of a number is equal to three - fifth of another number , what is the ratio of first number to the second number ? \nOptions: a ) 3 : 1 , b ) 2 : 1 , c ) 1 : 3 , d ) 1 : 2 , e ) 2 : 3", "output": [ "a" ] }, { "id": "task1420-c88727702d764b9698cdfde09947f209", "input": "Problem: in may mrs lee ' s earnings were 70 percent of the lee family ' s total income . in june mrs lee earned 20 percent more than in may . if the rest of the family ' s income was the same both months , then , in june , mrs lee ' s earnings were approximately what percent of the lee family ' s total income ? \nOptions: a ) 64 % , b ) 68 % , c ) 72 % , d ) 74 % , e ) 83 %", "output": [ "d" ] }, { "id": "task1420-d6c399e8dc7a4811a678607b2ad3f2e0", "input": "Problem: the manager at a health foods store mixes a unique superfruit juice cocktail that costs $ 1399.45 per litre to make . the cocktail includes mixed fruit juice and a ç ai berry juice , which cost $ 262.85 per litre and $ 3104.35 per litre , respectively . the manager has already opened 32 litres of the mixed fruit juice . how many litres of the a ç ai berry juice does he need to add ? \nOptions: a ) 17 litres , b ) 21.3 litres , c ) 11 litres , d ) 07 litres , e ) 38 litres", "output": [ "b" ] }, { "id": "task1420-f12b45047acf4e3c820a0f9739abc526", "input": "Problem: it takes 30 days to fill a laboratory dish with bacteria . if the size of the bacteria doubles each day , how long did it take for the bacteria to fill 1 / 64 of the dish ? \nOptions: a ) 20 , b ) 22 , c ) 24 , d ) 26 , e ) 28", "output": [ "c" ] }, { "id": "task1420-8e264770ef4849beb5a0544eaeb416d4", "input": "Problem: 1 - 1 - 1 - 1 - 1 - 1 do any operations between the numbers to make the sum as 37 ? \nOptions: a ) 34 , b ) 35 , c ) 36 , d ) 37 , e ) 38", "output": [ "d" ] }, { "id": "task1420-3fc2ff56df93480c9584fb96bcb4cd5b", "input": "Problem: peter has $ 642986 in his savings account . what is the least amount of money ( in whole number of dollars ) that he must add to his account if he wants to split this money evenly among his 9 children ? \nOptions: a ) $ 642986 , b ) $ 642987 , c ) $ 642988 , d ) $ 642989 , e ) $ 642990", "output": [ "b" ] }, { "id": "task1420-c2b61c3eb99a4a55ac81234b48532e02", "input": "Problem: a baker charges n dollars for a birthday cake . next week , she intends to earn 320 dollars selling cakes . if she were to reduce the price of the cake by 20 percent , she would have to sell two more cakes to earn the same amount of revenue . how many cakes does she intend to sell next week ? \nOptions: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 10", "output": [ "d" ] }, { "id": "task1420-d38607fff44747f18e3ca1b872b35ca3", "input": "Problem: at a certain company , each employee has a salary grade s that is at least 1 and at most 5 . each employee receives an hourly wage p , in dollars , determined by the formula p = 9.50 + 0.25 ( s – 1 ) . an employee with a salary grade of 5 receives how many more dollars per hour than an employee with a salary grade of 2 ? \nOptions: a ) $ 0.50 , b ) $ 0.75 , c ) $ 1.25 , d ) $ 1.50 , e ) $ 1.75", "output": [ "b" ] }, { "id": "task1420-36c36e14ca214556830a7bb99060f1bc", "input": "Problem: the average of the marks of 30 students in a class is 45 . if the marks of each student are doubled , find the new average ? \nOptions: a ) 85 , b ) 77 , c ) 33 , d ) 90 , e ) 75", "output": [ "d" ] }, { "id": "task1420-85f9fbd023aa415d81d58174ac0bde2b", "input": "Problem: if the number is divided by 3 , it reduced by 42 . the number is \nOptions: a ) a ) 51 , b ) b ) 63 , c ) c ) 45 , d ) d ) 40 , e ) e ) 36", "output": [ "b" ] }, { "id": "task1420-5c69de0a6459420bb697b583bda830a9", "input": "Problem: the average of first thirteen prime numbers which are odd is ? \nOptions: a ) 20.15 , b ) 21.15 , c ) 22.15 , d ) 23.15 , e ) 24.15", "output": [ "b" ] }, { "id": "task1420-323e0560e2524a8d9d00717b635a04a6", "input": "Problem: the sum of the first 80 positive even integers is 2,550 . what is the sum of the odd integers from 101 to 200 , inclusive ? \nOptions: a ) 5,050 , b ) 7,500 , c ) 10,500 , d ) 15,000 , e ) 19,600", "output": [ "c" ] }, { "id": "task1420-0543a545a766476a94a5a72e7455ca3f", "input": "Problem: if 25 ^ 5 × 5 ^ ( - 1 ) = ( 125 ) ^ x , then what is the value of x ? \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6", "output": [ "b" ] }, { "id": "task1420-6805e76b47524f67af1f4d651ccf3838", "input": "Problem: what is the least value of x . so that 30 x 55 is divisible by 3 ? \nOptions: a ) 4 , b ) 5 , c ) 1 , d ) 2 , e ) 7", "output": [ "d" ] }, { "id": "task1420-8f5a8dc6cc864d75832aa33eb37b19be", "input": "Problem: on a partly cloudy day , derek decides to walk back from work . when it is sunny , he walks at a speed of s miles / hr ( s is an integer ) and when it gets cloudy , he increases his speed to ( s + 1 ) miles / hr . if his average speed for the entire distance is 2.8 miles / hr , what fraction w of the total distance did he cover while the sun was shining on him ? \nOptions: a ) 1 / 4 , b ) 4 / 5 , c ) 1 / 5 , d ) 1 / 6 , e ) 1 / 7", "output": [ "e" ] }, { "id": "task1420-f3747552bd57411489c6dc631d6e7ec7", "input": "Problem: a , b and c invest in the ratio of 3 : 4 : 5 . the percentage of return on their investments are in the ratio of 6 : 5 : 4 . find the total earnings , if b earns rs . 200 more than a : \nOptions: a ) 2348 , b ) 7250 , c ) 2767 , d ) 1998 , e ) 5800", "output": [ "e" ] }, { "id": "task1420-1a1c6f7bad0a4fb8bb32fb34843b1d73", "input": "Problem: a frog can climb up a well at 3 ft per min but due to slipperiness of the well , frog slips down 2 ft before it starts climbing the next minute . if the depth of the well is 57 ft , how much time will the frog take to reach the top ? \nOptions: a ) 29 , b ) 27 , c ) 55 , d ) 17 , e ) 10", "output": [ "c" ] }, { "id": "task1420-8ed972a1a99642349ef6d6f071c12d27", "input": "Problem: a library has an average of 1000 visitors on sundays and 700 on other days . the average number of visitors per day in a month of 30 days beginning with a sunday is : \nOptions: a ) 740 , b ) 750 , c ) 760 , d ) 770 , e ) 775", "output": [ "b" ] }, { "id": "task1420-bb8b3f95a7594dde9a284891d4c872f5", "input": "Problem: 10 camels cost as much as 24 horses , 26 horses cost as much as 4 oxen and 6 oxen as much as 4 elephants . if the cost of 10 elephants is rs . 170000 , find the cost of a camel ? \nOptions: a ) rs . 6184.5 , b ) rs . 4184.5 , c ) rs . 5700 , d ) rs . 4284.5 , e ) rs . 5184.5", "output": [ "b" ] }, { "id": "task1420-9399799af0fe4750b16c19bea617385f", "input": "Problem: little john had $ 16.10 . he spent $ 3.25 on sweets and gave to his two friends $ 2.20 each . how much money was left ? \nOptions: a ) $ 6.45 , b ) $ 8.35 , c ) $ 8.75 , d ) $ 8.85 , e ) $ 8.45", "output": [ "e" ] }, { "id": "task1420-df95da85b93e41968cbe030c3e45957a", "input": "Problem: what is the 36 th digit to the right of the decimal point in the decimal expansion of 1 / 37 ? \nOptions: a ) 0 , b ) 2 , c ) 4 , d ) 7 , e ) 9", "output": [ "d" ] }, { "id": "task1420-8a29d8d4c49648f6914358cd18394819", "input": "Problem: a number when divided by a divisor leaves a remainder of 24 . when twice the original number is divided by the same divisor , the remainder is 11 . what is the value of the divisor ? \nOptions: a ) 13 , b ) 59 , c ) 35 , d ) 37 , e ) 12", "output": [ "d" ] }, { "id": "task1420-206ca1cb00504f2e99502ab97eab46e0", "input": "Problem: niall ' s income is 60 % less than rex ' s income , and sam ' s income is 25 % less than niall ' s income . if rex gave 60 % of his income to sam and 40 % of his income to niall , niall ' s new income would be what fraction of sam ' s new income ? \nOptions: a ) 8 / 9 , b ) 11 / 12 , c ) 8 / 13 , d ) 11 / 13 , e ) 12 / 13", "output": [ "a" ] }, { "id": "task1420-30f8185d03b64531b7fabf705a02998b", "input": "Problem: for each month of a given year except december , a worker earned the same monthly salary and donated one - tenth of that salary to charity . in december , the worker earned n times his usual monthly salary and donated one - third of his earnings to charity . if the worker ' s charitable contributions totaled one - eighth of his earnings for the entire year , what is the value of n ? \nOptions: a ) 8 / 5 , b ) 5 / 2 , c ) 3 , d ) 33 / 25 , e ) 4", "output": [ "d" ] }, { "id": "task1420-d0f2c60322c1468281549617e114234b", "input": "Problem: the average ( arithmetic mean ) of 20 , 40 , and 60 is 6 more than the average of 10 , 70 , and what number ? \nOptions: a ) 15 , b ) 25 , c ) 35 , d ) 22 , e ) 55", "output": [ "d" ] }, { "id": "task1420-160ff7086acb4a56b7fa3ddc10a9322e", "input": "Problem: a telephone company needs to create a set of 3 - digit area codes . the company is entitled to use only digits 6 , 4 and 3 , which can be repeated . if the product of the digits in the area code must be even , how many different codes can be created ? \nOptions: a ) 20 , b ) 22 , c ) 26 , d ) 24 , e ) 30", "output": [ "c" ] }, { "id": "task1420-0d443c8398914e6e887f02da67f33a1f", "input": "Problem: the average ( arithmetic mean ) of 4 different integers is 72 . if the largest integer is 90 , what is the least possible value of the smallest integer ? \nOptions: a ) 1 , b ) 19 , c ) 21 , d ) 30 , e ) 33", "output": [ "c" ] }, { "id": "task1420-ff50a7895f2e4c07ac10561adc9aa9a7", "input": "Problem: 1 , 3,5 , 7,9 , . . 50 find term of sequnce for this . \nOptions: a ) 1356 , b ) 1557 , c ) 1688 , d ) 1700 , e ) 2500", "output": [ "e" ] }, { "id": "task1420-3be95e027b274097bd72c9c106a42ec3", "input": "Problem: if x is to be chosen at random from the integers between 1 to 6 , inclusive , and y is to be chosen at random from the integers between 7 and 10 , inclusive , what is the probability that x + y will be even ? \nOptions: a ) 1 / 2 , b ) 2 / 3 , c ) 3 / 4 , d ) 4 / 5 , e ) 5 / 6", "output": [ "a" ] }, { "id": "task1420-ecd214c59ba241e5aa5d2325a0eba5e2", "input": "Problem: lisa and robert have taken the same number of photos on their school trip . lisa has taken 3 times as many photos as claire and robert has taken 28 more photos than claire . how many photos has claire taken ? \nOptions: a ) 6 , b ) 8 , c ) 10 , d ) 12 , e ) 14", "output": [ "e" ] }, { "id": "task1420-d9ea1146b0354b93bc795a9b7060dd69", "input": "Problem: at veridux corporation , there are 250 employees . of these , 90 are female , and the rest are males . there are a total of 40 managers , and the rest of the employees are associates . if there are a total of 140 male associates , how many female managers are there ? \nOptions: a ) 15 , b ) 20 , c ) 25 , d ) 30 , e ) 35", "output": [ "b" ] }, { "id": "task1420-5372cf20c72848f0a08210a38ebddd96", "input": "Problem: the mean of 50 observations was 36 . it was found later that an observation 48 was wrongly taken as 21 . the corrected new mean is : \nOptions: a ) 36.54 , b ) 36.58 , c ) 36.23 , d ) 36.14 , e ) 36.81", "output": [ "a" ] }, { "id": "task1420-fa5bbe3d7d3747e2b71035af30cd9913", "input": "Problem: the population of a town increased from 50000 to 80000 in a decade . the average percent increase of population per year is : \nOptions: a ) 4.37 % , b ) 5 % , c ) 6 % , d ) 8.75 % , e ) none of these", "output": [ "c" ] }, { "id": "task1420-092d22030e1c445788a685aaef91dd11", "input": "Problem: the number 152 is equal to the sum of the cubes of two integers . what is the product of those integers ? \nOptions: a ) 8 , b ) 15 , c ) 21 , d ) 27 , e ) 39", "output": [ "b" ] }, { "id": "task1420-6ebdc05ee0b84dd98149fad00473f89d", "input": "Problem: linda spent 3 / 4 of her savings on furniture and the rest on a tv . if the tv cost her $ 200 , what were her original savings ? \nOptions: a ) $ 500 , b ) $ 600 , c ) $ 700 , d ) $ 800 , e ) $ 900", "output": [ "d" ] }, { "id": "task1420-4a791f0f11c64d26a7f166ac0559cf9e", "input": "Problem: there are 7 players in a bowling team with an average weight of 103 kg . if two new players join the team , one weighs 110 kg and the second weighs 60 kg , what will be the new average weight ? \nOptions: a ) 95 kg . , b ) 99 kg . , c ) 89 kg . , d ) 90 kg . , e ) 92 kg .", "output": [ "b" ] }, { "id": "task1420-3546e07bf1a048bc92d986bc9001afa6", "input": "Problem: if a - b = 5 and a 2 + b 2 = 34 , find the value of ab . \nOptions: a ) a ) 4.5 , b ) b ) 12 , c ) c ) 15 , d ) d ) 18 , e ) e ) 20", "output": [ "a" ] }, { "id": "task1420-da0880afe787473abd88d42e835d9592", "input": "Problem: a certain class of students is being divided into teams . the class can either be divided into 16 teams with an equal number of players on each team or 24 teams with an equal number of players on each team . what is the lowest possible number of students in the class ? \nOptions: a ) 6 , b ) 36 , c ) 48 , d ) 60 , e ) 72", "output": [ "c" ] }, { "id": "task1420-736f7e6ff5e34abcbc7f7f7e21dc885c", "input": "Problem: if you roll a fair - sided die twice , what is the probability of getting a ( 4.4 ) double ? \nOptions: a ) 1 / 2 , b ) 1 / 4 , c ) 1 / 12 , d ) 1 / 3 ! , e ) 1 / 24", "output": [ "d" ] }, { "id": "task1420-600cbaa769cd40a9a69552ccc310ed0c", "input": "Problem: the average marks obtained by 100 candidates in an examination is 50 . find how many candidates have passed in the examination , if the average marks of candidates who passed is 70 and that of failed candidates is 20 . \nOptions: a ) 33 , b ) 77 , c ) 60 , d ) 29 , e ) 11", "output": [ "c" ] }, { "id": "task1420-c2fa332dde6f4783a794846f57a76365", "input": "Problem: 6 friends went to a hotel and decided to pay the bill amount equally . but 5 of them could pay rs . 100 each as a result 6 th has to pay rs . 100 extra than his share . find the amount paid by him . \nOptions: a ) 156 , b ) 220 , c ) 130 , d ) 240 , e ) none", "output": [ "b" ] }, { "id": "task1420-9a73d82baf87415c8ccb43d7d5483ccd", "input": "Problem: following an increase in prices , the price of a candy box was 15 pounds and the price of a can of soda was 6 pounds . if the price of a candy box was raised by 25 % , and the price of a can of soda was raised by 50 % . what was the price of a box of candy plus a can of soda before prices were raised ? \nOptions: a ) 11 . , b ) 12 . , c ) 13 . , d ) 14 . , e ) 16", "output": [ "e" ] }, { "id": "task1420-1efc98a805ae4baf914f3f16c8dd89eb", "input": "Problem: how many positive integers less than 10,000 are there in which the sum of the digits equals 5 ? \nOptions: a ) 31 , b ) 51 , c ) 56 , d ) 62 , e ) 93", "output": [ "c" ] }, { "id": "task1420-948ef715e5c2418bb8ca985c1a21c165", "input": "Problem: if a / x = 1 / 3 and a / y = 1 / 4 , then ( x + y ) = \nOptions: a ) 2 a , b ) a / 2 , c ) 6 a , d ) 7 a , e ) 9 a", "output": [ "d" ] }, { "id": "task1420-04e1bba777114ab788e411a85351dd62", "input": "Problem: 63 + 5 * 12 / ( 180 / 3 ) = ? \nOptions: a ) 22 , b ) 77 , c ) 29 , d ) 64 , e ) 21", "output": [ "d" ] }, { "id": "task1420-2b622c232f474549b833b7249274b610", "input": "Problem: the product of two numbers is 2028 and their h . c . f is 13 . the number of such pairs is : \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "b" ] }, { "id": "task1420-dfc6f0b0d46344d9a892545efe3ff9ed", "input": "Problem: the average age of 20 men in the class is 15.6 years . 5 new men join and the new average becomes 14.56 years . what was the average age of 5 new men ? \nOptions: a ) 15.5 , b ) 15.4 , c ) 15.25 , d ) 10.4 , e ) 15.6", "output": [ "d" ] }, { "id": "task1420-0fdcafee44e849baba015e3399faa47a", "input": "Problem: the product of two numbers is 120 and the sum of their squares is 289 . the sum of the number is \nOptions: a ) 20 , b ) 23 , c ) 27 , d ) 150 , e ) 255", "output": [ "b" ] }, { "id": "task1420-101d2354af2b4a02bd2e54c03f24bd82", "input": "Problem: a straight line in the xy - plane has y - intercept of 49 . on this line the x - coordinate of the point is 71 and y - coordinate is 12 then what is the slope of the line ? \nOptions: a ) 0.5 , b ) 0.51 , c ) - 0.52 , d ) 0.31 , e ) - 0.49", "output": [ "c" ] }, { "id": "task1420-1406c14f515344f682b2adc7207d6a9e", "input": "Problem: the average age of 10 members of a committee is the same as it was 4 years ago , because an old member has been replaced by a young member . find how much younger is the new member ? \nOptions: a ) 35 , b ) 15 , c ) 40 , d ) 52 , e ) 14", "output": [ "c" ] }, { "id": "task1420-cbba88f0591443b1b75eefa8f731f509", "input": "Problem: 500 x 223 + 500 x 77 = ? \nOptions: a ) 2736900 , b ) 2738800 , c ) 150000 , d ) 2716740 , e ) none of them", "output": [ "c" ] }, { "id": "task1420-595c8906ffe64d97a936eeac353bedba", "input": "Problem: a tank holds x gallons of a saltwater solution that is 20 % salt by volume . one fourth of the water is evaporated , leaving all of the salt . when 5 gallons of water and 10 gallons of salt are added , the resulting mixture is 33 1 / 3 % salt by volume . what is the value of x ? \nOptions: a ) 37.5 , b ) 75 , c ) 100 , d ) 150 , e ) 175", "output": [ "b" ] }, { "id": "task1420-156995bd4d2e47178345d0369c103b0c", "input": "Problem: on dividing 23 by a number , the quotient is 4 and the remainder is 3 . find the divisor . \nOptions: a ) 1 , b ) 2 , c ) 4 , d ) 5 , e ) 7", "output": [ "d" ] }, { "id": "task1420-7787c2816af64523b5d7f216c7cfe3e2", "input": "Problem: the cost of a one - family home was $ 120,000 in 1980 . in 1988 , the price had increased to $ 192,000 . what was the percent increase in the cost of the home ? \nOptions: a ) 60 % , b ) 50 % , c ) 55 % , d ) 40 % , e ) 33.3 %", "output": [ "a" ] }, { "id": "task1420-7da6a492d8b44d5eb6f990e76c9aeb19", "input": "Problem: what is the total number of y integers between 100 and 200 that are divisible by 3 ? \nOptions: a ) 33 , b ) 32 , c ) 31 , d ) 30 , e ) 29", "output": [ "a" ] }, { "id": "task1420-70eebcd298024dd499480680b4acddc8", "input": "Problem: if a - b = 8 and a ^ 2 + b ^ 2 = 164 , find the value of ab \nOptions: a ) 10 , b ) 12 , c ) 50 , d ) 18 , e ) 19", "output": [ "c" ] }, { "id": "task1420-41d8c366c20e49c1abf0c0309aed80ba", "input": "Problem: the average marks of 25 students in a class is 100 . but a student mark is wrongly noted as 60 instead of 10 then find the correct average marks ? \nOptions: a ) a ) 78 , b ) b ) 82 , c ) c ) 98 , d ) d ) 91 , e ) e ) 85", "output": [ "c" ] }, { "id": "task1420-f44551124f3b4a51af919db8afbdb95e", "input": "Problem: 25.25 / 2000 is equal to : \nOptions: a ) 1.012526 , b ) 0.012625 , c ) 0.12526 , d ) 0.12625 , e ) 0.12725", "output": [ "b" ] }, { "id": "task1420-266db3d743174abfa9e0987bca8ecef2", "input": "Problem: in a maths test , students were asked to find 5 / 16 of a certain number . one of the students by mistake found 5 / 6 th of that number and his answer was 200 more than the correct answer . find the number . \nOptions: a ) 384 , b ) 76 , c ) 26 , d ) 28 , e ) 11", "output": [ "a" ] }, { "id": "task1420-5ed5239dd8904bcda1d3b52323b8e2ad", "input": "Problem: an astronomer noted that a grouping of red giant stars had an average solar mass of 8 m each , and a grouping of white dwarf stars had an average solar mass of 1.5 m each . if the astronomer calculated the total solar mass of both groupings to be 49 m , what total number of red giant stars and white dwarf stars did the astronomer note ? \nOptions: a ) 10 , b ) 11 , c ) 12 , d ) 13 , e ) 14", "output": [ "b" ] }, { "id": "task1420-2360945781c24bd09a6f8f374f4d3d34", "input": "Problem: the average of marks obtained by 120 candidates was 35 . if the avg of marks of passed candidates was 39 and that of failed candidates was 39 and that of failed candidates was 15 , the no . of candidates who passed the examination is ? \nOptions: a ) 80 , b ) 90 , c ) 100 , d ) 120 , e ) 130", "output": [ "c" ] }, { "id": "task1420-8728f576866640bb89eee2bfb1c25f6d", "input": "Problem: a solution is 90 % glycerin . if there are 4 gallons of the solution , how much water , in gallons must be addded to make a 75 % glycerin solution \nOptions: a ) 1.8 , b ) 1.4 , c ) 1.2 , d ) 1.0 , e ) 0.8", "output": [ "e" ] }, { "id": "task1420-4d3a7bee2f134a80bc860b4bf80ec58e", "input": "Problem: of the 20210 employees of the anvil factory , 2 / 7 are journeymen . if half of the journeymen were laid off , what percentage of the total remaining employees would be journeymen ? \nOptions: a ) 14.3 % , b ) 16.67 % , c ) 33 % , d ) 28.6 % , e ) 49.67 %", "output": [ "e" ] }, { "id": "task1420-dd76ca1e48724c89aa6566da12e0ef62", "input": "Problem: average of 10 matches is 32 , how many runs one should should score to increase his average by 4 runs . \nOptions: a ) 70 , b ) 76 , c ) 78 , d ) 80 , e ) 88", "output": [ "b" ] }, { "id": "task1420-3a2779dfec1542e49adeb786f894477a", "input": "Problem: the wages earned by robin is 40 % more than that earned by erica . the wages earned by charles is 60 % more than that earned by erica . how much percent is the wages earned by charles more than that earned by robin ? \nOptions: a ) 14 % , b ) 23 % , c ) 30 % , d ) 50 % , e ) 100 %", "output": [ "a" ] }, { "id": "task1420-8775acb5865c4d0f98d024a87a8817e2", "input": "Problem: a scale 6 ft . 8 inches long is divided into 2 equal parts . find the length of each part . \nOptions: a ) 20 inches , b ) 77 inches , c ) 66 inches , d ) 97 inches , e ) 40 inches", "output": [ "e" ] }, { "id": "task1420-72ed9314c502449b9955c37fcd3f2d9d", "input": "Problem: in a coconut grove , ( x + 2 ) trees yield 40 nuts per year , x trees yield 120 nuts per year and ( x – 2 ) trees yield 180 nuts per year . if the average yield per year per tree be 100 , find x . \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "e" ] }, { "id": "task1420-33922dc991954b0eb690a4de3277ce21", "input": "Problem: max planned to buy bike , sales man advised him to buy within this month , if he purchase next month means state tax will be increasing 10 % than its cost and it would be 82500 . what is the bike ' s selling price in this month \nOptions: a ) 70000 , b ) 73000 , c ) 75000 , d ) 77000 , e ) 79000", "output": [ "c" ] }, { "id": "task1420-e4c4261925ac49a7852bb698792eb141", "input": "Problem: 80 370 860 1550 2440 ? \nOptions: a ) 900 , b ) 840 , c ) 750 , d ) 860 , e ) 3530", "output": [ "e" ] }, { "id": "task1420-8803c5d0dce14172901ab99cb66f2c8f", "input": "Problem: 15 times a number gives 150 . the number is \nOptions: a ) 11 , b ) 15 , c ) 13 , d ) 14 , e ) can not be determined", "output": [ "b" ] }, { "id": "task1420-ef480a68cf0d471fb2f24261c645a75e", "input": "Problem: if ( 10 ^ 4 * 3.456789 ) ^ 9 is written as a single term , how many digits would be to the right of the decimal place ? \nOptions: a ) 6 , b ) 12 , c ) 18 , d ) 32 , e ) 48", "output": [ "c" ] }, { "id": "task1420-c2b6efe09c164a82870bd7e03e4032bd", "input": "Problem: two ants , arthur and amy , have discovered a picnic and are bringing crumbs back to the anthill . amy makes twice as many trips and carries one and a half times as many crumbs per trip as arthur . if arthur carries a total of c crumbs to the anthill , how many crumbs will amy bring to the anthill , in terms of c ? \nOptions: a ) x / 2 , b ) x , c ) 3 x / 2 , d ) 2 x , e ) 3 x", "output": [ "e" ] }, { "id": "task1420-9a6c5a4c45e84ceda93df97cb1b396ce", "input": "Problem: what is the smallest of 6 consecutive odd integers whose average ( arithmetic mean ) is b + 2 ? \nOptions: a ) b - 3 , b ) b - 6 , c ) b - 1 , d ) b , e ) b + 1", "output": [ "a" ] }, { "id": "task1420-76e432991db44776a942182e0c67cb6a", "input": "Problem: a prize of $ 1200 is to be distributed among 40 winners , each of whom must be awarded at least $ 40 . if 2 / 5 of the prize will be distributed to 3 / 5 of the winners , what is the greatest possible individual award ? \nOptions: a ) $ 100 , b ) $ 120 , c ) $ 280 , d ) $ 300 , e ) $ 360", "output": [ "b" ] }, { "id": "task1420-2d66e140b74f4c97abfe8bc01a3736a9", "input": "Problem: the maximum number of student amoung them 1204 pens and 840 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is : \nOptions: a ) 91 , b ) 28 , c ) 56 , d ) 89 , e ) none of these", "output": [ "b" ] }, { "id": "task1420-cdde442d5bd1418bb9ec98f00922a648", "input": "Problem: what is the total number of positive integers that are less than 800 and that have no positive factor in common with 800 other than 1 ? \nOptions: a ) 200 , b ) 320 , c ) 480 , d ) 500 , e ) 600", "output": [ "b" ] }, { "id": "task1420-6216aefe9d2a44988ef5e6e25ee15e90", "input": "Problem: in a box of 8 pencils , a total of 2 are defective . if a customer buys 3 pencils selected at random from the box , what is the probability that neither pencils will be defective ? \nOptions: a ) 1 / 12 , b ) 5 / 14 , c ) 2 / 13 , d ) 2 / 15 , e ) 1 / 17", "output": [ "b" ] }, { "id": "task1420-a6e62a58a63b4899b730abaa30e8cba1", "input": "Problem: how many kg of rice at rs . 6.60 per kg . be mixed with 56 kg of rice at rs . 9.60 per kg to get a mixture worth rs . 8.20 per kg \nOptions: a ) 56 kg , b ) 52 kg , c ) 44 kg , d ) 49 kg , e ) none of these", "output": [ "d" ] }, { "id": "task1420-a00ea7d801c940e591a335b217a7ee21", "input": "Problem: if ( c - a ) / ( c - b ) = 1 , then ( 5 b + 5 a ) / ( c - a ) = \nOptions: a ) 10 , b ) 1 , c ) 1.5 , d ) 2 , e ) 2.5", "output": [ "a" ] }, { "id": "task1420-2a1c86faab224f309289967e6f19834b", "input": "Problem: in the seaside summer camp there are 50 children . 90 % of the children are boys and the rest are girls . the camp administrator decided to make the number of girls only 5 % of the total number of children in the camp . how many more boys must she bring to make that happen ? \nOptions: a ) 50 . , b ) 45 . , c ) 40 . , d ) 30 . , e ) 25 .", "output": [ "a" ] }, { "id": "task1420-74a63e2f1cdf455f91474b9f5ba101c5", "input": "Problem: a person decided to build a house in 100 days . he employed 100 men in the beginning and 100 more after 20 days and completed the construction in stipulated time . if he had not employed the additional men , how many days behind schedule would it have been finished ? \nOptions: a ) 40 , b ) 80 , c ) 70 , d ) 60 , e ) 50", "output": [ "b" ] }, { "id": "task1420-656a824f7c8a4cc3b7d9db2510cf0e3d", "input": "Problem: 617 x 617 + 583 x 583 = ? \nOptions: a ) 720578 , b ) 80578 , c ) 80698 , d ) 81268 , e ) none of them", "output": [ "a" ] }, { "id": "task1420-fe57061b240648ffb0477aef3cef49e7", "input": "Problem: if @ is a binary operation defined as the difference between an integer n and the product of n and 5 , then what is the largest positive integer n such that the outcome of the binary operation of n is less than 10 ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "b" ] }, { "id": "task1420-253e5784eba5427aa78ca24cd23628d5", "input": "Problem: jane started baby - sitting when she was 18 years old . whenever she baby - sat for a child , that child was no more than half her age at the time . jane is currently 34 years old , and she stopped baby - sitting 10 years ago . what is the current age of the oldest person for whom jane could have baby - sat ? \nOptions: a ) 20 , b ) 21 , c ) 22 , d ) 23 , e ) 25", "output": [ "e" ] }, { "id": "task1420-5e261297ab7a491bb72a99793339b816", "input": "Problem: the product of two numbers is 168 and the sum of their squares is 289 . the sum of the number is ? \nOptions: a ) a ) 23 , b ) b ) 25 , c ) c ) 27 , d ) d ) 31 , e ) e ) 35", "output": [ "b" ] }, { "id": "task1420-8ad376f293544aad89361bda4f4a1282", "input": "Problem: rs . 525 among a , b and c such that b may get 2 / 3 of a and c together get . find the share of c ? \nOptions: a ) 127 , b ) 150 , c ) 177 , d ) 167 , e ) 122", "output": [ "b" ] }, { "id": "task1420-23952e720cec4234913797861b56b884", "input": "Problem: of the female students at barkely university , 5 / 6 are on the honor roll . of the male students , 2 / 3 are on the honor roll . if 2 / 5 of the students are female , what fraction of all the students are on the honor roll ? \nOptions: a ) 5 / 9 , b ) 3 / 15 , c ) 23 / 30 , d ) 22 / 30 , e ) 53 / 90", "output": [ "d" ] }, { "id": "task1420-bcda94e997804e8f8e785dc5f9ffbade", "input": "Problem: workers decided to raise rs . 3 lacs by equal contribution from each . had they contributed rs . 50 eachextra , the contribution would have been rs . 3.50 lacs . how many workers were they ? \nOptions: a ) 220 , b ) 230 , c ) 500 , d ) 560 , e ) 1000", "output": [ "e" ] }, { "id": "task1420-842efbb2bc054e69abddc287e6a972b0", "input": "Problem: tough and tricky questions : exponents . if 5 ^ ( x + 1 ) * 4 ^ ( y - 1 ) = 25 ^ x * 64 ^ y , then x + y = \nOptions: a ) 3 / 2 , b ) - 1 / 2 , c ) - 1 , d ) 1 / 2 , e ) 2 / 3", "output": [ "d" ] }, { "id": "task1420-cc478bf1c984473dab01870ee72a63b6", "input": "Problem: in a renowned city , the average birth rate is 7 people every two seconds and the death rate is 2 people every two seconds . estimate the size of the population net increase that occurs in one day . \nOptions: a ) 215,000 , b ) 216,000 , c ) 217,000 , d ) 218,000 , e ) 219,000", "output": [ "b" ] } ], "Instance License": [ "Apache 2.0" ] }