{ "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 provide the correct option for a given problem from the provided options." ], "Input_language": [ "English" ], "Output_language": [ "English" ], "Instruction_language": [ "English" ], "Domains": [ "Mathematics" ], "Positive Examples": [ { "input": "Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ? \nOptions: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2", "explanation": "\"u / i = 6 / 2 i / b = 5 / 1 since i is multiple of both 2 ( as per first ratio ) and 5 ( as per second ratio ) so let ' s assume that i = 10 i . e . multiplying teh first ratio by 5 and second ration by 2 in each numerator and denominator then , u : i : b = 30 : 18 : 2 i . e . u : b = 30 : 2 answer : option b\"", "output": "b" }, { "input": "Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ? \nOptions: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56", "explanation": "\"60 n / 6 * 8 should be integer = > 2 * 2 * 3 * 5 * n / 2 * 3 * 2 * 2 * 2 = 5 * n / 4 must be an integer for this to be true n must multiple of 4 , thus min of n = 4 hence b\"", "output": "b" } ], "Negative Examples": [ { "input": "Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ? \nOptions: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32", "explanation": "\"{ total } = { writers } + { editors } - { both } + { neither } . { total } = 100 ; { writers } = 40 ; { editors } > 38 ; { both } = x ; { neither } = 2 x ; 100 = 40 + { editors } - x + 2 x - - > x = 60 - { editors } . we want to maximize x , thus we should minimize { editors } , minimum possible value of { editors } is 39 , thus x = { both } = 60 - 39 = 21 . answer : a .\". Hence, option d is incorrect.", "output": "d" }, { "input": "Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin \nOptions: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5", "explanation": "explanation : if rahul age is x , then sachin age is x - 7 , so , 12 x - 84 = 5 x 7 x = 84 x = 12 so sachin age is 12 - 7 = 5 answer : e ) 5. Hence, option b is incorrect.", "output": "b" } ], "Instances": [ { "id": "task1421-01606b9c077f4400b630387f955074f6", "input": "Problem: how many of the positive factors of 63 , 84 and how many common factors are there in numbers ? \nOptions: a ) 2 , b ) 4 , c ) 3 , d ) 5 , e ) 1", "output": [ "b" ] }, { "id": "task1421-77f1b2e7c11446c4b41f41a732251da5", "input": "Problem: a dog takes 10 leaps for every 2 leaps of a hare . if one leap of the dog is equal to 2 leaps of the hare , the ratio of the speed of the dog to that of the hare is : \nOptions: a ) 5 : 1 , b ) 10 : 1 , c ) 15 : 1 , d ) 20 : 1 , e ) 25 : 1", "output": [ "b" ] }, { "id": "task1421-a12fcf113e7049869462c6acfcd1ab28", "input": "Problem: lovely shop runs a sale on goldfish and platys . if one customer buys 13 goldfish and 12 platys for $ 5.60 , and another buys 14 goldfish and 21 platys for $ 8.05 , what is the ratio of the price of goldfish to platys ? \nOptions: a ) 0.8 , b ) 0.75 , c ) c ) 8 / 9 , d ) 5 / 7 , e ) 6 / 8", "output": [ "d" ] }, { "id": "task1421-d49fffc4b2f1487b8f88fe144b5fb01f", "input": "Problem: a number is said to be prime saturated if the product of all the different positive prime factors of t is less than the square root of t . what is the greatest two digit prime saturated integer ? \nOptions: a ) 99 , b ) 98 , c ) 97 , d ) 96 , e ) 95", "output": [ "d" ] }, { "id": "task1421-ccc686de96e1469aa6a2705c12ab3e4d", "input": "Problem: if 75 percent of a class answered the first question on a certain test correctly , 45 percent answered the second question on the test correctly , and 20 percent answered neither of the questions correctly , what percent answered both correctly ? \nOptions: a ) 10 % , b ) ( 8 ) 40 % , c ) 30 % , d ) 50 % , e ) 65 %", "output": [ "b" ] }, { "id": "task1421-034512dd427f425086fbd5a96e85464b", "input": "Problem: the ratio of toddlers to infants at a day care center is 7 to 3 . if 12 more infants join the day care to change the ratio to 7 to 5 , how many toddlers are there at this day care center ? \nOptions: a ) 24 , b ) 36 , c ) 42 , d ) 72 , e ) 120", "output": [ "c" ] }, { "id": "task1421-a79f25cecdbb43d781c5236ad922b6b2", "input": "Problem: two numbers are in the ratio 3 : 5 . if 9 be subtracted from each , they are in the ratio of 3 : 2 . the first number is : \nOptions: a ) a ) 3 , b ) b ) 98 , c ) c ) 34 , d ) d ) 35 , e ) e ) 62", "output": [ "a" ] }, { "id": "task1421-27dfacb31e6349a5ad47a8e7e94fb25f", "input": "Problem: veena ranks 65 rd from the top in a class of 182 . what is her rank from the bottom if 22 students have failed the examination ? \nOptions: a ) 96 , b ) 108 , c ) 110 , d ) 90 , e ) 93", "output": [ "a" ] }, { "id": "task1421-17c67e4e92d84bddad69fd4424409c7e", "input": "Problem: how many zeros does 10 ! end with ? \nOptions: a ) 10 , b ) 4 , c ) 4 , d ) 3 , e ) 2", "output": [ "e" ] }, { "id": "task1421-73ab8939e8214bffaa9e2608af5d6a1e", "input": "Problem: what is the square root of 3,969 ? \nOptions: a ) a ) 18 , b ) b ) 9 , c ) c ) 45 , d ) d ) 63 , e ) e ) 81", "output": [ "d" ] }, { "id": "task1421-005164f0b63e41dd8354a9610b1df386", "input": "Problem: from a container , 6 liters milk was drawn out and was replaced by water . again 6 liters of mixture was drawn out and was replaced by the water . thus the quantity of milk and water in the container after these two operations is 9 : 16 . the quantity of mixture is : \nOptions: a ) 15 , b ) 26 , c ) 22 , d ) 27 , e ) 11", "output": [ "a" ] }, { "id": "task1421-9c5bc3460006418da69d30cc7f952947", "input": "Problem: in a circuit board factory , all circuit boards that pass a verification process are certified . every board that fails the verification process is indeed faulty , but 1 / 8 of those that pass are also faulty . approximately how many faulty circuit boards exist in a group of 3,200 circuit boards where 64 fail inspection ? \nOptions: a ) 72 , b ) 192 , c ) 456 , d ) 256 , e ) 264", "output": [ "c" ] }, { "id": "task1421-21c5aea2d69249578390a08524822680", "input": "Problem: right now , the ratio between the ages of sandy and molly is 4 : 3 . after 6 years , sandy ’ s age will be 30 years . what is molly ' s age right now ? \nOptions: a ) 12 , b ) 14 , c ) 16 , d ) 18 , e ) 20", "output": [ "d" ] }, { "id": "task1421-c3cc1fefe8524610bbb4a44ef684e765", "input": "Problem: lily shop runs a sale on goldfish and platys . if one customer buys 13 goldfish and 12 platys for $ 5.60 , and another buys 14 goldfish and 21 platys for $ 8.05 , what is the ratio of the price of goldfish to platys ? \nOptions: a ) 0.8 , b ) 0.75 , c ) c ) 8 / 9 , d ) 5 / 7 , e ) 6 / 8", "output": [ "d" ] }, { "id": "task1421-42227fa4a61548388de13426a6e3c10f", "input": "Problem: two numbers are in the ratio 3 : 5 . if 9 be subtracted from each , they are in the ratio of 9 : 17 . the first number ? \nOptions: a ) 36 , b ) 86 , c ) 27 , d ) 86 , e ) 27", "output": [ "a" ] }, { "id": "task1421-ccec38c91fae4470963886836093a262", "input": "Problem: bag a contains red , white and blue marbles such that the red to white marble ratio is 1 : 3 and the white to blue marble ratio is 2 : 3 . bag b contains red and white marbles in the ratio of 1 : 4 . together , the two bags contain 70 white marbles . how many red marbles could be in bag a ? \nOptions: a ) 1 , b ) 3 , c ) 4 , d ) 6 , e ) 14", "output": [ "e" ] }, { "id": "task1421-356c1c2706554cd3ad8e223b5bf5aacb", "input": "Problem: a certain quantity of 50 % solution is replaced with 25 % solution such that the new concentration is 35 % . what is the fraction of the solution that was replaced ? \nOptions: a ) 1 / 4 , b ) 1 / 3 , c ) 1 / 2 , d ) 2 / 3 , e ) 3 / 5", "output": [ "e" ] }, { "id": "task1421-c605dc4cad914af8bd891f3b412517f2", "input": "Problem: how many zeros does 500 ! end with ? \nOptions: a ) 201 , b ) 240 , c ) 124 , d ) 125 , e ) 180", "output": [ "c" ] }, { "id": "task1421-c4520fdfa2724ee09034f20edd9575c6", "input": "Problem: find the compound ratio of ( 4 : 3 ) , ( 1 : 3 ) and ( 2 : 3 ) is \nOptions: a ) 16 : 27 , b ) 12 : 13 , c ) 13 : 14 , d ) 14 : 15 , e ) 31 : 27", "output": [ "a" ] }, { "id": "task1421-ff24d51abe30421b8e4deba183c21801", "input": "Problem: a certain store sold pens for $ 0.35 each and pencils for $ 0.25 each . if a customer purchased both pens and pencils from the store for a total of $ 3.00 , what total number of pens and pencils did the customer purchase ? \nOptions: a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 12", "output": [ "c" ] }, { "id": "task1421-f2638fae1e454eab81de6cc25a59cb60", "input": "Problem: bucket p has thrice the capacity as bucket q . it takes 60 turns for bucket p to fill the empty drum . how many turns it will take for both the buckets p & q , having each turn together to fill the empty drum ? \nOptions: a ) 45 , b ) 53 , c ) 54 , d ) 46 , e ) 63", "output": [ "a" ] }, { "id": "task1421-feb598d6eda34e80b7f015db5f878aaa", "input": "Problem: each factor of 210 is inscribed on its own plastic ball , and all of the balls are placed in a jar . if a ball is randomly selected from the jar , what is the probability that the ball is inscribed with a multiple of 42 ? \nOptions: a ) 1 / 16 , b ) 5 / 42 , c ) 1 / 8 , d ) 3 / 16 , e ) 1 / 4", "output": [ "c" ] }, { "id": "task1421-5effe128c29147188e443cc7d836c4b5", "input": "Problem: what number has a 15 : 1 ratio to the number 10 ? \nOptions: a ) 130 , b ) 100 , c ) 200 , d ) 150 , e ) 120", "output": [ "d" ] }, { "id": "task1421-53572c1235ed4b64b092095bcf40f64d", "input": "Problem: there are 7 executives , including the ceo and cfo , that are asked to form a small team of 4 members . however , the ceo and cfo may not both be assigned to the team . given this constraint , how many ways are there to form the team ? \nOptions: a ) 25 , b ) 28 , c ) 30 , d ) 32 , e ) 35", "output": [ "a" ] }, { "id": "task1421-4aa7d516ddc34754bcfe38298867d63f", "input": "Problem: a movie buff buys movies on dvd and on blu - ray in a ratio of 13 : 4 . if she returns 2 blu - ray movies , that ratio would change to 7 : 2 . if she buys movies on no other medium , what was the original number of movies purchased ? \nOptions: a ) 22 , b ) 28 , c ) 77 , d ) 99 , e ) 119", "output": [ "e" ] }, { "id": "task1421-24627a00f9084ba2aaa613fe7818cc65", "input": "Problem: if 35 % of the 880 students at a certain college are enrolled in biology classes , how many students at the college are not enrolled in a biology class ? \nOptions: a ) 110 , b ) 330 , c ) 572 , d ) 430 , e ) 880", "output": [ "c" ] }, { "id": "task1421-8b7c9cae5d9647b78c69553b945bd0bf", "input": "Problem: a farmer with 1,350 acres of land had planted his fields with corn , sugar cane , and tobacco in the ratio of 5 : 2 : 2 , respectively , but he wanted to make more money , so he shifted the ratio to 2 : 2 : 5 , respectively . how many more acres of land were planted with tobacco under the new system ? \nOptions: a ) 90 , b ) 150 , c ) 270 , d ) 300 , e ) 450", "output": [ "e" ] }, { "id": "task1421-b1f729bf68ea434ab48fcf88fc703feb", "input": "Problem: two assembly line inspectors , lauren and steven , inspect widgets as they come off the assembly line . if lauren inspects every fifth widget , starting with the fifth , and steven inspects every fourth , starting with the fourth , how many of the 98 widgets produced in the first hour of operation are not inspected by either inspector ? \nOptions: a ) 66 , b ) 68 , c ) 70 , d ) 64 , e ) 72", "output": [ "d" ] }, { "id": "task1421-bb92fcb23e834f04bbf821e03c3c08a7", "input": "Problem: an urn contains 6 red , 5 blue and 2 green marbles . if 2 marbles are picked at random , what is the probability that both are red ? \nOptions: a ) 6 / 13 , b ) 5 / 26 , c ) 6 / 26 , d ) 9 / 26 , e ) 10 / 27", "output": [ "b" ] }, { "id": "task1421-b58160d635564871a5c1d3a126fbde72", "input": "Problem: two integers are in the ratio of 1 to 4 . if 6 is added to the smaller number , the ratio becomes 1 to 3 . find the larger integer . \nOptions: a ) 4 , b ) 24 , c ) 30 , d ) 72 , e ) 80", "output": [ "d" ] }, { "id": "task1421-5856c0b02be942bd97c4158f0d374616", "input": "Problem: how many positive integers d between 200 and 300 ( both inclusive ) are not divisible by 2 , 3 or 5 ? \nOptions: a ) 3 , b ) 16 , c ) 75 , d ) 24 , e ) 26", "output": [ "e" ] }, { "id": "task1421-83529784a215429d8e8884d153883a91", "input": "Problem: an alloy of zinc and copper contains the metals in the ratio 5 : 3 . the quantity of zinc to be added to 16 kg of the alloy so that the ratio of the metal may be 3 : 1 is : \nOptions: a ) 2 , b ) 4 , c ) 8 , d ) 3 , e ) 1", "output": [ "c" ] }, { "id": "task1421-840e0c916beb424abcfb64a11005d5a9", "input": "Problem: 140 college students were asked in a survey if they preferred windows or mac brand computers . 80 students claimed that they preferred mac to windows brand computers . one third as many of the students who preferred mac to windows , equally preferred both brands . 50 of the students had no preference . how many of the students in the survey preferred windows to mac brand computers ? \nOptions: a ) 25 , b ) 10 , c ) 50 , d ) 60 , e ) 75", "output": [ "b" ] }, { "id": "task1421-4523c19110aa4cdb82d21eb85cdd97cc", "input": "Problem: a certain car dealership sells economy cars , luxury cars , and sport utility vehicles . the ratio of economy to luxury cars is 3 : 2 . the ratio of economy cars to sport utility vehicles is 5 : 4 . what is the ratio of luxury cars to sport utility vehicles ? \nOptions: a ) 9 : 8 , b ) 8 : 9 , c ) 3 : 2 , d ) 10 : 12 , e ) 1 : 2", "output": [ "d" ] }, { "id": "task1421-503d1ba52090403f972a8dfa0e0c5a23", "input": "Problem: 8 men and 2 boys working together can do 4 times as much work as a man and a boy . working capacity of man and boy is in the ratio \nOptions: a ) 1 : 2 , b ) 1 : 3 , c ) 2 : 1 , d ) 2 : 3 , e ) none of these", "output": [ "a" ] }, { "id": "task1421-977361f5154d4fd9a6386c8f123e3986", "input": "Problem: how many multiples of 10 are there between 100 and 10000 ( both are inclusive ) ? \nOptions: a ) 456 , b ) 789 , c ) 991 , d ) 1020 , e ) 1100", "output": [ "c" ] }, { "id": "task1421-cc378c166eb646a89e3b3bc16cb9a241", "input": "Problem: pencils , pens and exercise books in a shop are in the ratio of 10 : 2 : 3 . if there are 120 pencils , the number of exercise books in the shop is : \nOptions: a ) 26 , b ) 36 , c ) 46 , d ) 56 , e ) 66", "output": [ "b" ] }, { "id": "task1421-f19ef2afa7e54dc394e7b42c31889ab9", "input": "Problem: in a certain state , the ratio of registered republicans to registered democrats is 3 to 2 , and every registered voter is either a republican or a democrat . if 80 percent of the republicans and 20 percent of the democrats are expected to vote for candidate x , and everyone else is expected to vote for candidate y , by what percent is candidate x expected to win the election ? \nOptions: a ) 2 % , b ) 5 % , c ) 8 % , d ) 10 % , e ) 12 %", "output": [ "e" ] }, { "id": "task1421-a5cd7fe505e14522b3faca0489837514", "input": "Problem: a girl scout was selling boxes of cookies . in a month , she sold both boxes of chocolate chip cookies ( $ 1.25 each ) and boxes of plain cookies ( $ 0.75 each ) . altogether , she sold 1,585 boxes for a combined value of $ 1 , 588.25 . how many boxes of plain cookies did she sell ? \nOptions: a ) 0 , b ) 233 , c ) 500 , d ) 695 , e ) 786", "output": [ "e" ] }, { "id": "task1421-e51243e026fc4dbca20be85f1b6f2cca", "input": "Problem: a class has a ratio of 3 : 6 : 7 of children with red hair , blonde hair and black hair respectively . if the class has 9 kids with red hair , how many kids are there with black hair ? \nOptions: a ) 7 , b ) 6 , c ) 9 , d ) 21 , e ) 63", "output": [ "d" ] }, { "id": "task1421-71cf2be14de24698980bbc0315a59d70", "input": "Problem: local kennel has cats and dogs in the ratio of 6 : 12 . if there are 24 fewer cats than dogs , how many dogs are in the kennel ? \nOptions: a ) 50 , b ) 48 , c ) 52 , d ) 54 , e ) 56", "output": [ "b" ] }, { "id": "task1421-21449fd352c74477b73c0807d4977304", "input": "Problem: how many different positive integers are factors of 36 ? \nOptions: a ) 4 , b ) 6 , c ) 7 , d ) 9 , e ) 11", "output": [ "d" ] }, { "id": "task1421-3763697846034aa6a995cc6cba1f5da9", "input": "Problem: the ratio of three numbers is 1 : 2 : 3 and the sum of their squares is 2744 . the sum of the numbers is ? \nOptions: a ) 10 , b ) 12 , c ) 15 , d ) 14 , e ) 9", "output": [ "d" ] }, { "id": "task1421-cb6a0a114dff44a59e9b89538b20d547", "input": "Problem: two numbers are in the ratio 3 : 4 . if their l . c . m . is 84 . what is sum of the numbers ? \nOptions: a ) 49 , b ) 56 , c ) 76 , d ) 84 , e ) 85", "output": [ "a" ] }, { "id": "task1421-f60e53549b2a4dee92827ce17ee0cba6", "input": "Problem: a jar contains a mixture of a & b in the ratio 4 : 1 . when 10 l of mixture is replaced with liquid b , ratio becomes 2 : 3 . how many liters of liquid a was present in mixture initially . \nOptions: a ) 12 , b ) 15 , c ) 16 , d ) 20 , e ) 25", "output": [ "c" ] }, { "id": "task1421-69389074f5ab4aa78e3b020f8dc4b950", "input": "Problem: in a college , the ratio of the number of boys to girls is 8 : 5 . if there are 200 girls , the total number of students in the college is \nOptions: a ) 420 , b ) 520 , c ) 620 , d ) 620 , e ) none of these", "output": [ "b" ] }, { "id": "task1421-362d08410f1e4afaa4421e9ab3fdc12b", "input": "Problem: among 400 students , 56 % study sociology , 44 % study mathematics and 40 % study biology . if 42 % of students study both mathematics and sociology , what is the largest possible number of students who study biology but do not study either mathematics or sociology ? \nOptions: a ) 30 , b ) 90 , c ) 120 , d ) 168 , e ) 188", "output": [ "d" ] }, { "id": "task1421-60412233bb7f41298f125399b9384afb", "input": "Problem: there are 9 executives , including the ceo and cfo , that are asked to form a small team of 4 members . however , the ceo and cfo may not both be assigned to the team . given this constraint , how many ways are there to form the team ? \nOptions: a ) 97 , b ) 99 , c ) 101 , d ) 103 , e ) 105", "output": [ "e" ] }, { "id": "task1421-3f0665c4b63044cc9a735a4d458fb153", "input": "Problem: x starts a business with rs . 45000 . y joins in the business after 3 months with rs . 27000 . what will be the ratio in which they should share the profit at the end of the year ? \nOptions: a ) 20 : 9 , b ) 2 : 1 , c ) 3 : 2 , d ) 2 : 3 , e ) 5 : 3", "output": [ "a" ] }, { "id": "task1421-0ece62b8a33d4eefa8504adac5766b10", "input": "Problem: the least whole number which when subtracted from both the terms of the ratio 6 : 7 to give a ratio less than 16 : 21 , is ? \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "a" ] }, { "id": "task1421-05dc2a41137642629a8058d3c44b1162", "input": "Problem: uba capital recently bought brand new vehicles for office use . uba capital only went for toyota and honda and bought more of toyota than honda at the ratio of 4 : 6 . if 40 % of the toyota bought and 60 % of the honda bought were suv ã ¢ â ‚ ¬ â „ ¢ s . how many suv ã ¢ â ‚ ¬ â „ ¢ s did uba capital buy in the aforementioned purchase ? \nOptions: a ) 66 % , b ) 64 % , c ) 68 % , d ) 69 % , e ) 52 %", "output": [ "e" ] }, { "id": "task1421-6b11017d0982469cbcc37e9289549f95", "input": "Problem: how many of the positive factors of 20 are not factors of 24 \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 1 , e ) 5", "output": [ "b" ] }, { "id": "task1421-d51015e3e960448d969bf0a553381f7d", "input": "Problem: in a class of boys and girls vikas ' s rank is 9 th and tanvi ' s rank is 17 th . vikas ' s rank among the boys in that class is 4 th from the top and 18 th from the bottom and tanvi ' s rank among the girls is 8 th from top and 21 st from bottom . in the order of rank , how many girls are there between tanvi and vikas ? \nOptions: a ) 29 , b ) 8 , c ) 2 , d ) 4 , e ) 6", "output": [ "c" ] }, { "id": "task1421-61d265dbef9744568a0635dcc0ea8965", "input": "Problem: there are 10 slate rocks , 15 pumice rocks , and 6 granite rocks randomly distributed in a certain field . if 2 rocks are chosen at random and without replacement , what is the probability that both rocks will be slate rocks ? \nOptions: a ) 2 / 19 , b ) 3 / 31 , c ) 4 / 37 , d ) 5 / 41 , e ) 6 / 53", "output": [ "b" ] }, { "id": "task1421-fc953ed7565b4341956719a8ad9c0fb5", "input": "Problem: evaluate 30 ! / 28 ! \nOptions: a ) 720 , b ) 600 , c ) 870 , d ) 910 , e ) 650", "output": [ "c" ] }, { "id": "task1421-fe4f74ff4d4c4a7faa640791d18f9a1d", "input": "Problem: the ratio of the arithmetic mean of two numbers to one of the numbers is 4 : 7 . what is the ratio of the smaller number to the larger number ? \nOptions: a ) 1 : 8 , b ) 1 : 7 , c ) 1 : 6 , d ) 1 : 5 , e ) 1 : 4", "output": [ "b" ] }, { "id": "task1421-e3cc26e3dd654815b6340a2f6ee43253", "input": "Problem: a ratio between two numbers is 3 : 4 and their l . c . m . is 180 . the first number is \nOptions: a ) 60 , b ) 45 , c ) 20 , d ) 15 , e ) none", "output": [ "b" ] }, { "id": "task1421-90eaf7492cc84072831b0dcbdcd76984", "input": "Problem: in a family 11 people eat only vegetarian , 6 people eat only non veg . , 9 people eat both veg and non veg . . how many people eat veg in the family ? \nOptions: a ) 20 , b ) 11 , c ) 9 , d ) 31 , e ) 21", "output": [ "a" ] }, { "id": "task1421-fe1f6942569c4e33b0c71d39dc2a2f97", "input": "Problem: find the ratio in which rice at rs . 7.20 a kg be mixed with rice at rs . 5.70 a kg to produce a mixture worth rs . 6.30 a kg \nOptions: a ) 2 : 0 , b ) 2 : 3 , c ) 2 : 1 , d ) 2 : 2 , e ) 2 : 8", "output": [ "b" ] }, { "id": "task1421-5c5fd7885c344188af8aa9481ba16913", "input": "Problem: how many positive integers q between 200 and 300 ( both inclusive ) are not divisible by 2 , 3 or 5 ? \nOptions: a ) 3 , b ) 16 , c ) 75 , d ) 24 , e ) 26", "output": [ "e" ] }, { "id": "task1421-5fe6d65e6825499a902a6c6eb71c1124", "input": "Problem: the ratio of the present age of sandy to that of molly is 9 : 2 . eight years from now , the ratio of the ages of sandy to molly will be 5 : 2 . what was sandy ' s age 6 years ago ? \nOptions: a ) 18 , b ) 21 , c ) 24 , d ) 27 , e ) 30", "output": [ "b" ] }, { "id": "task1421-6628c4dea28b414e917c32c75a4a65a2", "input": "Problem: two numbers are respectively 20 % and 50 % more than a third number . the ratio of the two numbers is \nOptions: a ) 2 : 5 , b ) 3 : 5 , c ) 4 : 5 , d ) 6 : 5 , e ) 7 : 5", "output": [ "c" ] }, { "id": "task1421-a722b5e73ec443078f56ad02cbd44794", "input": "Problem: 39 ! is divided by 41 . then what is the remainder ? \nOptions: a ) 1 , b ) 3 , c ) 4 , d ) 6 , e ) 9", "output": [ "a" ] }, { "id": "task1421-e36a7f6802bd485c967d3c540126264e", "input": "Problem: a dog breeder currently has 9 breeding dogs . 6 of the dogs have exactly 1 littermate , and 3 of the dogs have exactly 2 littermates . if 2 dogs are selected at random , what is the probability e that both selected dogs are not littermates ? \nOptions: a ) 1 / 6 , b ) 2 / 9 , c ) 5 / 6 , d ) 7 / 9 , e ) 8 / 9", "output": [ "c" ] }, { "id": "task1421-1a81447b01e741ca892b3b00b91d591f", "input": "Problem: a dog takes 5 leaps for every 8 leaps of a hare . if one leap of the dog is equal to 5 leaps of the hare , the ratio of the speed of the dog to that of the hare is : \nOptions: a ) 25 : 10 , b ) 25 : 8 , c ) 25 : 9 , d ) 8 : 25 , e ) 24 : 8", "output": [ "b" ] }, { "id": "task1421-f5a53e37ceb649f2b1eb234bc0a711d9", "input": "Problem: a dog takes 2 leaps for every 3 leaps of a hare . if one leap of the dog is equal to 5 leaps of the hare , the ratio of the speed of the dog to that of the hare is : \nOptions: a ) 9 : 3 , b ) 3 : 10 , c ) 2 : 3 , d ) 6 : 3 , e ) 10 : 3", "output": [ "e" ] }, { "id": "task1421-fc357a9eda924ffe94072ac7333ee4be", "input": "Problem: in the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30 . in the ` ` sport ' ' formulation , the ratio of flavoring to corn syrup is 3 times as great as in the standard formulation , and the ratio of flavoring to water is half that of the standard formulation . if a large bottle of the ` ` sport ' ' formulation contains 3 ounces of corn syrup , how many ounces of water does it contain ? \nOptions: a ) 45 , b ) 50 , c ) 55 , d ) 60 , e ) 63", "output": [ "a" ] }, { "id": "task1421-f0fb8edb07424b83a429dec02348ac2b", "input": "Problem: there are 193 items that are members of set u . of these items , 47 are members of set b , 59 are not members of either of set a or set b , and 23 are members of both sets a and b . how many of the members of set u are members of set a ? \nOptions: a ) 72 , b ) 85 , c ) 94 , d ) 106 , e ) 108", "output": [ "d" ] }, { "id": "task1421-01df63e1042e47b88197de97bfe1aeee", "input": "Problem: the h . c . f . of two numbers is 16 and the other two factors of their l . c . m . are 13 and 14 . the larger of the two numbers is : \nOptions: a ) 276 , b ) 299 , c ) 224 , d ) 345 , e ) 365", "output": [ "c" ] }, { "id": "task1421-dcd11df16dd5438b8d95f3f2ad865f5e", "input": "Problem: if 75 percent of a class answered the first question on a certain test correctly , 25 percent answered the second question on the test correctly , and 20 percent answered neither of the questions correctly , what percent answered both correctly ? \nOptions: a ) 10 % , b ) 20 % , c ) 30 % , d ) 50 % , e ) 65 %", "output": [ "b" ] }, { "id": "task1421-95135c3058b84723b226746e9f589755", "input": "Problem: two numbers are in the ratio of 1 : 2 . if 6 be added to both , their ratio changes to 3 : 5 . the greater number is \nOptions: a ) 20 , b ) 24 , c ) 28 , d ) 32 , e ) 36", "output": [ "b" ] }, { "id": "task1421-f94cc2fbaf6343cd93d7fc3a458b7a90", "input": "Problem: the compound ratio of 2 / 5 , 6 / 7 , 1 / 3 and 1 / 8 is given by ? \nOptions: a ) 7 / 98 , b ) 1 / 70 , c ) 1 / 98 , d ) 1 / 96 , e ) 1 / 68", "output": [ "b" ] }, { "id": "task1421-4231cc2dda354a349591bbbcf8aabe52", "input": "Problem: two mixtures of a and b have a and b in the ratio 3 : 2 and 3 : 4 . in what proportion should these two mixtures be mixed to get a new mixture in which the ration of a to b is 5 : 4 ? \nOptions: a ) 6 : 1 , b ) 5 : 4 , c ) 20 : 7 , d ) 10 : 9 , e ) 14 : 11", "output": [ "c" ] }, { "id": "task1421-1790029d1b3c4530b85619e50b906662", "input": "Problem: of the diplomats who attended a summit conference : 20 spoke japanese , 32 did not speak russian and 20 % of the diplomats spoke neither japanese nor russian . if 10 % of the diplomats spoke both japanese and russian , then how many diplomats attended the conference ? \nOptions: a ) 70 , b ) 96 , c ) 108 , d ) 120 , e ) 150", "output": [ "d" ] }, { "id": "task1421-20aa2de0e98b4db993d0ca2103c9e8f2", "input": "Problem: praveen starts business with rs . 3500 and after 5 months , hari joins with praveen as his partner . after a year , the profit is divided in the ratio 2 : 3 . what is hari ’ s contribution in the capital ? \nOptions: a ) rs . 7500 , b ) rs . 8000 , c ) rs . 8500 , d ) rs . 9000 , e ) rs . 6000", "output": [ "d" ] }, { "id": "task1421-61a3e71af0a94429aaff69502bc0267b", "input": "Problem: mrs . evans gave a test to her freshmen economics class , which has 40 students enrolled and 30 of them answered question 1 correctly . if 29 answered question 2 correctly and 10 did not take the test then how many answered both questions correctly ? \nOptions: a ) 24 , b ) 27 , c ) 29 , d ) 31 , e ) 33", "output": [ "c" ] }, { "id": "task1421-3bca743296514b1395ae36bc7791eb18", "input": "Problem: the ratio between the present age of p and q is 6 : 7 . if q is 4 years old then p , what will be the ratio of the ages of p and q after 4 year ? \nOptions: a ) 3 : 4 , b ) 3 : 5 , c ) 7 : 8 , d ) 4 : 3 , e ) none of these", "output": [ "c" ] }, { "id": "task1421-74f2906a3c7b497297ffd2c1af876b9d", "input": "Problem: if shares of two persons in profits are rs . 400 and rs . 600 then ratio of their capitals is \nOptions: a ) 3 : 4 , b ) 2 : 3 , c ) 4 : 3 , d ) 1 : 3 , e ) 1 : 2", "output": [ "b" ] }, { "id": "task1421-e8d398d0629044f48b658ca5a7e97818", "input": "Problem: what is the ratio of two no . 5 xy and 8 xy . \nOptions: a ) 2 : 5 , b ) 3 : 4 , c ) 5 : 8 , d ) 2 : 3 , e ) 1 : 2", "output": [ "c" ] }, { "id": "task1421-3ba0b91fcd834faa87985fd54e850a18", "input": "Problem: the probability that a computer company will get a computer hardware contract is 3 / 4 and the probability that it will not get a software contract is 3 / 5 . if the probability of getting at least one contract is 4 / 5 , what is the probability that it will get both the contracts ? \nOptions: a ) 4 / 11 , b ) 5 / 12 , c ) 6 / 17 , d ) 7 / 20 , e ) 11 / 30", "output": [ "d" ] }, { "id": "task1421-9f8d072b7cf442d9bb3b9e70ce27737c", "input": "Problem: a marketing firm determined that , of 200 households surveyed , 80 used neither brand w nor brand b soap , 60 used only brand w soap , and for every household that used both brands of soap , 3 used only brand b soap . how many of the 200 households surveyed used both brands of soap ? \nOptions: a ) 15 , b ) 20 , c ) 30 , d ) 40 , e ) 45", "output": [ "d" ] }, { "id": "task1421-fbce598db3e5418c998bb20ecdc14a03", "input": "Problem: on a certain farm the ratio of horses to cows is 4 : 1 . if the farm were to sell 15 horses and buy 15 cows , the ratio of horses to cows would then be 7 : 3 . after the transaction , how many more horses than cows would the farm own ? \nOptions: a ) 20 , b ) 40 , c ) 50 , d ) 60 , e ) 80", "output": [ "d" ] }, { "id": "task1421-9986d8beb217499da20ac2cda3a994b3", "input": "Problem: water consists of hydrogen and oxygen , and the approximate ratio , by mass , of hydrogen to oxygen is 2 : 16 . approximately how many grams of oxygen are there in 90 grams of water ? \nOptions: a ) 16 , b ) 90 , c ) 112 , d ) 128 , e ) 142", "output": [ "b" ] }, { "id": "task1421-3571cc64ac244dcbac64970f6363ae5d", "input": "Problem: the probability of two events a and b are 0.20 and 0.40 respectively . the probability that both a and b occur is 0.15 . the probability that neither a nor b occur is _________ \nOptions: a ) 0.45 , b ) 0.4 , c ) 0.5 , d ) 0.55 , e ) 0.6", "output": [ "d" ] }, { "id": "task1421-12eb59c591eb46e48cfcc7a8537317cb", "input": "Problem: 45 pupil , out of them 12 in debate only and 22 in singing only . then how many in both ? \nOptions: a ) 9 , b ) 10 , c ) 11 , d ) 12 , e ) 13", "output": [ "c" ] }, { "id": "task1421-14528e00641a427088dcf610d80f7913", "input": "Problem: of the diplomats who attended a summit conference : 20 spoke latin , 32 did not speak russian and 20 % of the diplomats spoke neither latin nor russian . if 10 % of the diplomats spoke both latin and russian , then how many diplomats attended the conference ? \nOptions: a ) 70 , b ) 96 , c ) 108 , d ) 120 , e ) 150", "output": [ "d" ] }, { "id": "task1421-81a6929a66674028b2f799fcc538434b", "input": "Problem: find the compound ratio of ( 1 : 2 ) , ( 1 : 3 ) and ( 3 : 5 ) is \nOptions: a ) 1 : 10 , b ) 2 : 3 , c ) 3 : 4 , d ) 4 : 5 , e ) 3 : 2", "output": [ "a" ] }, { "id": "task1421-813974897c1f41e591a6dc551ab27714", "input": "Problem: the ratio of pens to pencils is 5 to 6 . there are 6 more pencils than pens . how many pencils are there ? \nOptions: a ) 32 , b ) 36 , c ) 40 , d ) 44 , e ) 48", "output": [ "b" ] }, { "id": "task1421-caf2275a179d4bfba22ecea60ade10dc", "input": "Problem: in a college the ratio of the numbers of boys to the girls is 8 : 5 . if there are 175 girls , the total number of students in the college is ? \nOptions: a ) 562 , b ) 356 , c ) 455 , d ) 416 , e ) 512", "output": [ "c" ] }, { "id": "task1421-182dad9390d04d519d973c029c64bbfb", "input": "Problem: a number is said to be prime saturated if the product of all the different positive prime factors of w is less than the square root of w . what is the greatest two digit prime saturated integer ? \nOptions: a ) 99 , b ) 98 , c ) 97 , d ) 96 , e ) 95", "output": [ "d" ] }, { "id": "task1421-ad44107b15e84aac938cf21d04072cf5", "input": "Problem: in a bag , there are 5 green , 6 black and 7 red pens . one pen is picked up randomly . what is the probability that it is neither red nor green ? \nOptions: a ) 5 / 18 , b ) 7 / 18 , c ) 1 / 3 , d ) 1 / 2 , e ) 1 / 5", "output": [ "c" ] }, { "id": "task1421-6df1133587004653b7558885ecd159bb", "input": "Problem: divide $ 1000 among a , b in the ratio 1 : 4 . how many $ that b get ? \nOptions: a ) $ 500 , b ) $ 800 , c ) $ 1000 , d ) $ 200 , e ) $ 750", "output": [ "b" ] }, { "id": "task1421-e9865282620943849b11603689c0d5ad", "input": "Problem: a pet store holds cats and dogs . if the difference between the number of cats and the number of dogs is 17 . what could be the ratio of cats to dogs in the pet store ? \nOptions: a ) 1 : 3 , b ) 1 : 4 , c ) 1 : 5 , d ) 2 : 5 , e ) 68 : 85", "output": [ "e" ] }, { "id": "task1421-8603b8160ffd447a82cc6a14cd5849ac", "input": "Problem: in a group of 100 people , 50 like reading books , 20 like both reading books and listening songs . how many like listening songs ? \nOptions: a ) 40 , b ) 50 , c ) 70 , d ) 60 , e ) none", "output": [ "c" ] }, { "id": "task1421-91f801fa9fec454fb0a97e1228f9a653", "input": "Problem: an order was placed for the supply of a carper whose length and breadth were in the ratio of 3 : 2 . subsequently , the dimensions of the carpet were altered such that its length and breadth were in the ratio 7 : 3 but were was no change in its parameter . find the ratio of the areas of the carpets in both the ? \nOptions: a ) 8 : 6 , b ) 8 : 7 , c ) 8 : 1 , d ) 8 : 2 , e ) 8 : 4", "output": [ "b" ] }, { "id": "task1421-5822f4a638bd4a10bb4edcdba9b06ba3", "input": "Problem: a bag contains 7 red , 9 blue and 5 green balls . if 3 balls are picked at random , what is the probability that both are red ? \nOptions: a ) 2 / 21 , b ) 3 / 41 , c ) 5 / 26 , d ) 1 / 38 , e ) 5 / 32", "output": [ "d" ] }, { "id": "task1421-384a4a6646514a9b89d65c42377a8fc0", "input": "Problem: a garrison of 400 men had a provision for 31 days . after 25 days 320 persons re - enforcement leave the garrison . find the number of days for which the remaining ration will be sufficient ? \nOptions: a ) 65 days , b ) 30 days , c ) 10 days , d ) 16 days , e ) 18 days", "output": [ "b" ] }, { "id": "task1421-37960f5b527e48b7bb92cc71c072271e", "input": "Problem: the ratio between the sale price and the cost price of an article is 9 : 7 . what is the ratio between the profit and the cost price of that article ? \nOptions: a ) 2 : 9 , b ) 2 : 7 , c ) 3 : 6 , d ) 2 : 0 , e ) 2 : 1", "output": [ "b" ] }, { "id": "task1421-1a42595f2bd244c9be72b7282bace248", "input": "Problem: the simple form of the ratio 4 / 2 : 2 / 5 is ? \nOptions: a ) 10 : 6 , b ) 5 : 1 , c ) 15 : 3 , d ) 25 : 3 , e ) 30 : 3", "output": [ "b" ] }, { "id": "task1421-4640b3a24a044eaa9f4960323bcf6573", "input": "Problem: the number of people who purchased book a is twice the number of people who purchased book b . the number of people who purchased both books a and b is 500 , which is twice the number of people who purchased only book b . what is the number of people v who purchased only book a ? \nOptions: a ) 250 , b ) 500 , c ) 750 , d ) 1000 , e ) 1500", "output": [ "d" ] }, { "id": "task1421-17afc621f07142458f6826806b071239", "input": "Problem: how many prime numbers between 1 and 100 are factors of 10010 ? \nOptions: a ) 5 , b ) 4 , c ) 3 , d ) 2 , e ) 1", "output": [ "a" ] }, { "id": "task1421-9581a5741f6f401082c73f2e2736b2d2", "input": "Problem: one lady has 2 children , one of her child is boy , what is the probability of having both are boys \nOptions: a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 4 , d ) 1 / 5 , e ) 3 / 4", "output": [ "a" ] }, { "id": "task1421-2e45a65f60c54566af5fcb2250d22b9c", "input": "Problem: three numbers are in the ratio of 2 : 3 : 4 and their l . c . m . is 180 . what is their h . c . f . ? \nOptions: a ) 15 , b ) 20 , c ) 40 , d ) 60 , e ) 70", "output": [ "a" ] }, { "id": "task1421-adafaff4599a4ebabcb015aee561e614", "input": "Problem: what is the characteristic of the logarithm of 0.0000134 ? \nOptions: a ) 5 , b ) - 5 , c ) 6 , d ) - 6 , e ) 7", "output": [ "b" ] }, { "id": "task1421-4ae776823af84d2592d0053d53441de7", "input": "Problem: the ratio of numbers is 3 : 4 and their h . c . f is 3 . their l . c . m is : \nOptions: a ) 12 , b ) 16 , c ) 36 , d ) 48 , e ) 98", "output": [ "c" ] }, { "id": "task1421-9d62e52bc0e54037854c0f4013d7afef", "input": "Problem: in a certain alphabet , 20 letters contain a dot and a straight line . 36 letters contain a straight line but do not contain a dot . if that alphabet has 60 letters , all of which contain either a dot or a straight line or both , how many letters contain a dot but do not contain a straight line ? \nOptions: a ) 4 , b ) 3 , c ) 14 , d ) 20 , e ) 28", "output": [ "a" ] }, { "id": "task1421-3120c953f9e44dfcbadc9c8c878e18f5", "input": "Problem: the ratio of spinsters to cats is 2 to 7 . if there are 40 more cats than spinsters , how many spinsters are there ? \nOptions: a ) 14 , b ) 16 , c ) 18 , d ) 20 , e ) 22", "output": [ "b" ] }, { "id": "task1421-6744f9a7407d4722a9ba08a6cd465fa6", "input": "Problem: in a certain school , the ratio of boys to girls is 5 to 13 . if there are 80 more girls than boys , how many boys are there ? \nOptions: a ) 27 , b ) 36 , c ) 45 , d ) 50 , e ) 117", "output": [ "d" ] }, { "id": "task1421-6021f5681fe040fd98ec52e4485ef3c3", "input": "Problem: the ratio between the present ages of a and b is 4 : 3 respectively . the ratio between a ' s age 4 years ago and b ' s age 4 years hence is 1 : 1 . what is the ratio between a ' s age 4 years hence and b ' s age 4 years ago ? \nOptions: a ) 3 : 4 , b ) 3 : 0 , c ) 3 : 1 , d ) 3 : 2 , e ) 9 : 5", "output": [ "e" ] }, { "id": "task1421-98b61ee0141e4822a99a7515d9727a47", "input": "Problem: the sum of 3 numbers is 98 . if the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 8 , then the second number is : \nOptions: a ) 20 , b ) 30 , c ) 38 , d ) 48 , e ) none of these", "output": [ "b" ] }, { "id": "task1421-795309d1876d4616862677577439b877", "input": "Problem: a shipment of 240 smartphones contains 84 that are defective . if a customer buys two smartphones at random from the shipment , what is the approximate probability that both phones are defective ? \nOptions: a ) 1 / 250 , b ) 9 / 74 , c ) 1 / 11 , d ) 1 / 9 , e ) 1 / 3", "output": [ "b" ] }, { "id": "task1421-e64724163c39480fb9152de137392fba", "input": "Problem: if w is the set of all the integers between 10 and 332 , inclusive , that are either multiples of 3 or multiples of 2 or multiples of both , then w contains how many numbers ? \nOptions: a ) 111 , b ) 28 , c ) 160 , d ) 213 , e ) 107", "output": [ "d" ] }, { "id": "task1421-1504e77351ef4162a53ef337ff323cb4", "input": "Problem: a ratio between two numbers is 8 : 9 and their l . c . m . is 432 . the first number is \nOptions: a ) 60 , b ) 45 , c ) 50 , d ) 48 , e ) none", "output": [ "d" ] }, { "id": "task1421-dd90e6f66a024470920ff4b779e3185f", "input": "Problem: a dog takes 4 leaps for every 5 leaps of a hare . if one leap of the dog is equal to 3 leaps of the hare , the ratio of the speed of the dog to that of the hare is : \nOptions: a ) 12 : 5 , b ) 4 : 3 , c ) 9 : 5 , d ) 9 : 1 , e ) 9 : 2", "output": [ "a" ] }, { "id": "task1421-f0156e49790c4f0aaf99a64c392fecd1", "input": "Problem: the ratio of the present age of two brothers is 1 : 2 and 5 years back , the ratio was 1 : 3 . what will be the ratio of their ages after 5 years ? \nOptions: a ) 3 : 9 , b ) 3 : 0 , c ) 3 : 5 , d ) 3 : 2 , e ) 3 : 1", "output": [ "c" ] }, { "id": "task1421-dfb4a44a74b74a0fa6d2e71b925d10f9", "input": "Problem: in a certain pet shop , the ratio of dogs to cats to bunnies in stock is 3 : 5 : 9 . if the shop carries 204 dogs and bunnies total in stock , how many dogs are there ? \nOptions: a ) 51 , b ) 66 , c ) 98 , d ) 112 , e ) 154", "output": [ "a" ] }, { "id": "task1421-65ce7943d51d48f4b9f1c3045f671bfd", "input": "Problem: find the compound ratio of ( 1 : 2 ) , ( 2 : 3 ) and ( 3 : 4 ) is \nOptions: a ) 1 : 2 , b ) 3 : 5 , c ) 5 : 7 , d ) 1 : 4 , e ) 2 : 1", "output": [ "d" ] }, { "id": "task1421-29db6f605aff4d7b930c0098cb3d13fd", "input": "Problem: the ratio of three numbers is 3 : 4 : 7 and their product is 18144 . the numbers are \nOptions: a ) 9 , 12,21 , b ) 15 , 20,25 , c ) 18 , 24,42 , d ) 24 , 15,17 , e ) 30 , 12,7", "output": [ "c" ] }, { "id": "task1421-b0cf23483e55479eb54f3d6b00e1bfcf", "input": "Problem: if both 7 ^ 2 and 3 ^ 4 are factors of the number a * 4 ^ 3 * 6 ^ 2 * 13 ^ 11 , then what is the smallest possible value of a ? \nOptions: a ) 120 , b ) 256 , c ) 343 , d ) 441 , e ) 512", "output": [ "d" ] }, { "id": "task1421-b78c795c0c4c4d92bdce035777087013", "input": "Problem: a person want to give his money of $ 4500 to his 4 children a , b , c , d in the ratio 2 : 4 : 5 : 4 . what is the a + b share ? \nOptions: a ) $ 1000 , b ) $ 2000 , c ) $ 1800 , d ) $ 1500 , e ) $ 1600", "output": [ "c" ] }, { "id": "task1421-6a1b878fad0e4b3eb2556b69537f1e85", "input": "Problem: 1 blue dice and 2 red dice are thrown . . . . what is the probability that the no . appeared on blue dice is always greater than both the no . appeared on the 2 red dice . . \nOptions: a ) 55 / 216 , b ) 56 / 216 , c ) 57 / 216 , d ) 54 / 216 , e ) 53 / 216", "output": [ "a" ] }, { "id": "task1421-b9de9e9aaf7d43fdb5b6fc755d7a7c1b", "input": "Problem: a bag contains 5 green balls and 9 white balls . if two balls are drawn simultaneously , what is the probability that both balls are the same colour ? \nOptions: a ) 11 / 21 , b ) 17 / 42 , c ) 23 / 42 , d ) 46 / 91 , e ) 51 / 91", "output": [ "d" ] }, { "id": "task1421-bc3d2539054d44919bbb7e6c914cd1dd", "input": "Problem: a girl scout was selling boxes of cookies . in a month , she sold both boxes of chocolate chip cookies ( $ 1.25 each ) and boxes of plain cookies ( $ 0.75 each ) . altogether , she sold 1,585 boxes for a combined value of $ 1 , 586.25 . how many boxes of plain cookies did she sell ? \nOptions: a ) 0 , b ) 233 , c ) 500 , d ) 695 , e ) 790", "output": [ "e" ] }, { "id": "task1421-e94b42bf73004d1c897859680111d144", "input": "Problem: the ratio of the adjacent angles of a parallelogram is 5 : 10 . also , the ratio of the angles of quadrilateral is 5 : 6 : 7 : 12 . what is the sum of the smaller angle of the parallelogram and the second largest angle of the quadrilateral ? \nOptions: a ) 168 ° , b ) 228 ° , c ) 144 ° , d ) 224 ° , e ) none of these", "output": [ "c" ] }, { "id": "task1421-6652f6bc3d6743cb907637d2e1f84212", "input": "Problem: what is the square root of 4,624 ? \nOptions: a ) a ) 18 , b ) b ) 9 , c ) c ) 68 , d ) d ) 62 , e ) e ) 81", "output": [ "c" ] }, { "id": "task1421-cd7ff4f4446e41138f74ea6787b91d06", "input": "Problem: the h . c . f . of two numbers is 23 and the other two factors of their l . c . m . are 13 and 15 . the larger of the two numbers is : \nOptions: a ) 276 , b ) 299 , c ) 322 , d ) 345 , e ) 354", "output": [ "d" ] }, { "id": "task1421-8c2f48060d6b41acbe5a563a0263b914", "input": "Problem: praveen starts business with rs . 3640 and after 5 months , hari joins with praveen as his partner . after a year , the profit is divided in the ratio 2 : 3 . what is hari ’ s contribution in the capital ? \nOptions: a ) s . 7500 , b ) s . 8000 , c ) s . 8500 , d ) s . 9000 , e ) s . 9360", "output": [ "e" ] }, { "id": "task1421-d003e4074b1e43868fb9ebcb561b8d55", "input": "Problem: 210 college students were asked in a survey if they preferred windows or mac brand computers . 90 students claimed that they preferred mac to windows brand computers . one third as many of the students who preferred mac to windows , equally preferred both brands . 60 of the students had no preference . how many of the students in the survey preferred windows to mac brand computers ? \nOptions: a ) 25 , b ) 40 , c ) 50 , d ) 60 , e ) 75", "output": [ "d" ] }, { "id": "task1421-7e1c69d2667e45eca8f8aa6b5bccbec6", "input": "Problem: in a certain alphabet , 13 letters contain a dot and a straight line . 24 letters contain a straight line but do not contain a dot . if that alphabet has 40 letters , all of which contain either a dot or a straight line or both , how many letters contain a dot but do not contain a straight line ? \nOptions: a ) 3 , b ) 8 , c ) 14 , d ) 20 , e ) 28", "output": [ "a" ] }, { "id": "task1421-27903300a7b0480a9d156315bf13003e", "input": "Problem: if log 1087.5 = 5.9421 , then the number of digits in ( 875 ) 10 is ? \nOptions: a ) 30 , b ) 70 , c ) 27 , d ) 26 , e ) 25", "output": [ "b" ] }, { "id": "task1421-9fdd3c3372034f228e27b1fea142376b", "input": "Problem: the probability that a computer company will get a computer hardware contract is 4 / 5 and the probability that it will not get a software contract is 3 / 5 . if the probability of getting at least one contract is 5 / 6 , what is the probability that it will get both the contracts ? \nOptions: a ) 7 / 20 , b ) 9 / 25 , c ) 11 / 30 , d ) 13 / 35 , e ) 17 / 40", "output": [ "c" ] }, { "id": "task1421-16156fa26781481ca22919ac136aa1f1", "input": "Problem: how many multiples of 100 are there between 100 and 1000 ( both are inclusive ) ? \nOptions: a ) 2 , b ) 8 , c ) 4 , d ) 5 , e ) 10", "output": [ "e" ] }, { "id": "task1421-b994421d291f4096a2e6a7d30f45a670", "input": "Problem: the ratio between the sale price and the cost price of an article is 7 : 4 . what is the ratio between the profit and the cost price of that article ? \nOptions: a ) 3 : 4 , b ) 1 : 2 , c ) 2 : 5 , d ) 3 : 5 , e ) 25", "output": [ "a" ] }, { "id": "task1421-cacfe9f1246a481490a5362e89fe2b19", "input": "Problem: divide $ 900 among a , b in the ratio 1 : 2 . how many $ that a get ? \nOptions: a ) $ 50 , b ) $ 300 , c ) $ 150 , d ) $ 250 , e ) $ 600", "output": [ "b" ] }, { "id": "task1421-eaa2041c4ab74bfdb83ec32c9c984c78", "input": "Problem: the cost of 3 pens and 5 pencils is rs . 240 . also the cost of one pen and one pencil is in the ratio of 5 : 1 respectively . what is the cost of one dozen pens ? \nOptions: a ) rs . 200 , b ) rs . 720 , c ) rs . 300 , d ) rs . 150 , e ) none of these", "output": [ "b" ] }, { "id": "task1421-fe0600fec5c64957ab7122eff69b9fb2", "input": "Problem: the ratio of flour to water to sugar in a recipe is 11 : 5 : 2 . the ratio in a new recipe calls for a doubling of the ratio of flour to water from the original recipe and a halving of the ratio of flour to sugar . if the new recipe calls for 7.5 cups of water , how much sugar is required ? \nOptions: a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 12", "output": [ "e" ] }, { "id": "task1421-5f61b2b3530a4321983b658865f483da", "input": "Problem: a certain university will select 2 of 5 candidates eligible to fill a position in the mathematics department and 3 of 8 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ? \nOptions: a ) 42 , b ) 70 , c ) 540 , d ) 565 , e ) 560", "output": [ "e" ] }, { "id": "task1421-84a61860f44c4f8ca6e10118e2edda4b", "input": "Problem: how many terminating zeroes r does 200 ! have ? \nOptions: a ) 40 , b ) 48 , c ) 49 , d ) 55 , e ) 64", "output": [ "c" ] }, { "id": "task1421-71c8728cbc1747bd9b2da6e6b43e9dae", "input": "Problem: in what ratio should a 20 % methyl alcohol solution be mixed with a 50 % methyl alcohol solution so that the resultant solution has 40 % methyl alcohol in it ? \nOptions: a ) 1 : 3 , b ) 1 : 2 , c ) 2 : 3 , d ) 2 : 1 , e ) 3 : 1", "output": [ "b" ] }, { "id": "task1421-97841b390ea4470eb6ac29e699bfabbf", "input": "Problem: each of the dogs in a certain kennel is a single color . each of the dogs in the kennel either has long fur or does not . of the 45 dogs in the kennel , 29 have long fur , 17 are brown , and 8 are neither long - furred nor brown . how many long - furred dogs are brown ? \nOptions: a ) 26 , b ) 19 , c ) 11 , d ) 8 , e ) 9", "output": [ "e" ] }, { "id": "task1421-8362c1a970414c67824e5b704e87d8ff", "input": "Problem: bag a contains red , white and blue marbles such that the red to white marble ratio is 1 : 3 and the white to blue marble ratio is 2 : 3 . bag b contains red and white marbles in the ratio of 1 : 4 . together , the two bags contain 60 white marbles . how many red marbles could be in bag a ? \nOptions: a ) 1 , b ) 3 , c ) 4 , d ) 12 , e ) 8", "output": [ "d" ] }, { "id": "task1421-83979b1bbceb497d85d852d0c552a4f3", "input": "Problem: the h . c . f . of two numbers is 28 and the other two factors of their l . c . m . are 12 and 15 . the larger of the two numbers is \nOptions: a ) 420 , b ) 430 , c ) 312 , d ) 322 , e ) none", "output": [ "a" ] }, { "id": "task1421-2414dc7eddca43269e861cac74ecd422", "input": "Problem: a certain telephone company offers two plans , a and b . under plan a , the company charges a total of $ 0.60 for the first 8 minutes of each call and $ 0.06 per minute thereafter . under plan b , the company charges $ 0.08 per minute of each call . what is the duration of a call , in minutes , for which the company charges the same amount under plan a and under plan b ? \nOptions: a ) 2 , b ) 9 , c ) 6 , d ) 21 , e ) 30", "output": [ "c" ] }, { "id": "task1421-2d204dee329543d18fc67c2f4ed7c6e7", "input": "Problem: a garrison of 400 men had a provision for 31 days . after 28 days 280 persons re - enforcement leave the garrison . find the number of days for which the remaining ration will be sufficient ? \nOptions: a ) 65 days , b ) 45 days , c ) 10 days , d ) 16 days , e ) 18 days", "output": [ "c" ] }, { "id": "task1421-dcd26e78aaa644bf950132a07d2f7d02", "input": "Problem: in a ratio which is equal to 7 : 9 , if the antecedent is 42 , then the consequent is ? \nOptions: a ) 72 , b ) 54 , c ) 64 , d ) 51 , e ) 45", "output": [ "b" ] }, { "id": "task1421-031eb4a12bbf48928493e21b336738b5", "input": "Problem: a man invests some money partly in 9 % stock at 96 and partly in 12 % stock at 120 . to obtain equal dividends from both , he must invest the money in the ratio ? \nOptions: a ) 16 : 18 , b ) 16 : 13 , c ) 16 : 15 , d ) 16 : 12 , e ) 16 : 11", "output": [ "c" ] }, { "id": "task1421-924e377d837045e8893b0858574e1b3b", "input": "Problem: there are 100 lights which are functional and each is controlled by a separate on / off switch . two children a and b start playing with the switches . a starts by pressing every third switch till he reaches the end . b , 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 ) 13 , b ) 41 , c ) 47 , d ) 48 , e ) 53", "output": [ "b" ] }, { "id": "task1421-6a350e8b4b2f4b249b146f1b1a22a3fa", "input": "Problem: there are 399 doctors and nurses in a hospital . if the ratio of the doctors to the nurses is 8 : 11 , then how many nurses are there in the hospital ? \nOptions: a ) 152 , b ) 209 , c ) 57 , d ) 231 , e ) 181", "output": [ "d" ] }, { "id": "task1421-1a40855bcb3b4fe0a4cde3b1b2628b3b", "input": "Problem: jaya ranks 5 th in a class of 53 . what is her rank from the bottom in the class ? \nOptions: a ) 49 th , b ) 48 th , c ) 47 th , d ) 50 th , e ) none of these", "output": [ "a" ] }, { "id": "task1421-575529fab29448cc9674681ee858350a", "input": "Problem: a farmer used 1,034 acres of land for beans , wheat , and corn in the ratio of 5 : 2 : 4 , respectively . how many acres q were used for corn ? \nOptions: a ) 188 , b ) 258 , c ) 376 , d ) 470 , e ) 517", "output": [ "c" ] }, { "id": "task1421-2c8c8a03d09d41018d2e56278cd0a95c", "input": "Problem: what is the greatest positive integer q such that 3 ^ q is a factor of 9 ^ 10 ? \nOptions: a ) q = 5 , b ) q = 9 , c ) q = 10 , d ) q = 20 , e ) 30", "output": [ "d" ] }, { "id": "task1421-ae27f3414e5545a0b2cf4ac802429fa9", "input": "Problem: in a certain corporation , there are 300 male employees and 150 female employees . it is known that 30 % of the male employees have advanced degrees and 40 % of the females have advanced degrees . if one of the 450 employees is chosen at random , what is the probability this employee has an advanced degree or is female ? \nOptions: a ) 2 / 3 , b ) 3 / 5 , c ) 3 / 10 , d ) 8 / 15 , e ) 11 / 30", "output": [ "d" ] }, { "id": "task1421-dafab15da1364e67ba306554ce929d9c", "input": "Problem: integer m has 4 different prime factors and n has 3 different prime factors . if m and n has the greatest common factor of 15 , how many different prime factors does mn have ? \nOptions: a ) 4 , b ) 5 , c ) 6 , d ) 7 , e ) 8", "output": [ "b" ] }, { "id": "task1421-8f3d62148e4141038addbe86b92c5859", "input": "Problem: 24 oz of juice p and 25 oz of juice v are mixed to make smothies m and y . the ratio of p to v in smothie m is 4 is to 1 and that in y is 1 is to 5 . how many ounces of juice p are contained in the smothie m ? \nOptions: a ) 5 , b ) 10 , c ) 15 , d ) 20 , e ) 25", "output": [ "d" ] }, { "id": "task1421-60bfced9853d456bbf37192252765589", "input": "Problem: what is the units digit of 31 ! + 50 ! + 2 ! + 3 ! ? \nOptions: a ) 0 , b ) 2 , c ) 4 , d ) 6 , e ) 8", "output": [ "e" ] }, { "id": "task1421-b303bb65dbdf4790a7fc33e8d2877a07", "input": "Problem: uba capital recently bought brand new vehicles for office use . uba capital only went for toyota and honda and bought more of toyota than honda at the ratio of 8 : 2 . if 80 % of the toyota bought and 20 % of the honda bought were suv â € ™ s . how many suv â € ™ s did uba capital buy in the aforementioned purchase ? \nOptions: a ) 66 % , b ) 64 % , c ) 68 % , d ) 69 % , e ) 72 %", "output": [ "c" ] }, { "id": "task1421-29b23fe2ace04d53911da3527d7332ec", "input": "Problem: in a certain school , the ratio of boys to girls is 5 to 13 . if there are 160 more girls than boys , how many boys are there ? \nOptions: a ) 100 , b ) 36 , c ) 45 , d ) 72 , e ) 117", "output": [ "a" ] }, { "id": "task1421-e0b5cdba6d49494887c4ff07eb04cb52", "input": "Problem: the ratio of three numbers is 6 : 7 : 5 and their sum is 108 . the second number of the three numbers is ? \nOptions: a ) 12 , b ) 42 , c ) 30 , d ) 36 , e ) none of these", "output": [ "b" ] }, { "id": "task1421-1abcb67f317742808ebc178e50c216a3", "input": "Problem: in assembling a bluetooth device , a factory uses one of two kinds of modules . one module costs $ 10 and the other one , that is cheaper , costs $ 3.5 . the factory holds a $ 45 worth stock of 11 modules . how many of the modules in the stock are of the cheaper kind ? \nOptions: a ) 30 , b ) 28 , c ) 25 , d ) 20 , e ) 10", "output": [ "e" ] }, { "id": "task1421-45a2414ce4884ac49b9b116d4646abf7", "input": "Problem: in a group of 28 junior high school students , 7 take french , 10 take spanish , and 2 take both languages . the students taking both french and spanish are not counted with the 7 taking french or the 10 taking spanish . how many students are not taking either french or spanish ? \nOptions: a ) 7 , b ) 6 , c ) 9 , d ) 4 , e ) 8", "output": [ "c" ] }, { "id": "task1421-bb5f7d8ee8584fc8ad0a6fe447f52ad3", "input": "Problem: in a certain corporation , there are 300 male employees and 150 female employees . it is known that 40 % of the male employees have advanced degrees and 40 % of the females have advanced degrees . if one of the 450 employees is chosen at random , what is the probability this employee has an advanced degree or is female ? \nOptions: a ) 1 / 2 , b ) 2 / 3 , c ) 3 / 5 , d ) 7 / 10 , e ) 11 / 15", "output": [ "c" ] }, { "id": "task1421-929434736d064c37b15617852ec80cb9", "input": "Problem: how many of the positive factors of 56 , 96 and how many common factors are there in numbers ? \nOptions: a ) 2 , b ) 4 , c ) 3 , d ) 5 , e ) 1", "output": [ "c" ] }, { "id": "task1421-ca36afdd11f54cc6812d83ce1801de54", "input": "Problem: two sacks together contained 40 kilograms of sugar . if after 1 kilogram of sugar was taken from the first sack and poured into the second the weight of the sugar in the first sack became 60 % the weight of the sugar in the second , what was the original difference in the weights of the sacks ? \nOptions: a ) 4 , b ) 6 , c ) 8 , d ) 10 , e ) 12", "output": [ "c" ] }, { "id": "task1421-73d678de00044824bb02fae010af5a2d", "input": "Problem: a grocery store bought some mangoes at a rate of 5 for a dollar . they were separated into two stacks , one of which was sold at a rate of 4 for a dollar and the other at a rate of 6 for a dollar . what was the ratio of the number of mangoes in the two stacks if the store broke even after having sold all of its mangoes ? \nOptions: a ) 1 : 4 , b ) 1 : 5 , c ) 2 : 3 , d ) 3 : 2 , e ) 2 : 5", "output": [ "d" ] }, { "id": "task1421-8481f7b70f3a44d7bf1e808f5e612592", "input": "Problem: a dog takes 3 leaps for every 7 leaps of a hare . if one leap of the dog is equal to 3 leaps of the hare , the ratio of the speed of the dog to that of the hare is : \nOptions: a ) 9 : 7 , b ) 9 : 9 , c ) 9 : 6 , d ) 9 : 1 , e ) 9 : 2", "output": [ "a" ] }, { "id": "task1421-b69b705095744c358ad8c5d6c4694e1c", "input": "Problem: sara bought both german chocolate and swiss chocolate for some cakes she was baking . the swiss chocolate cost $ 3.5 per pound , and german chocolate cost $ 2.5 per pound . if the total the she spent on chocolate was $ 70 and both types of chocolate were purchased in whole number of pounds , how many total pounds of chocolate she purchased ? \nOptions: a ) 7 , b ) 8 , c ) 10 , d ) 24 , e ) 15", "output": [ "d" ] }, { "id": "task1421-941fb92748e8406ebd5b2f63504323d3", "input": "Problem: of the diplomats attending a summit conference , 17 speak french , 32 do not speak russian , and 20 % of the diplomats speak neither french nor russian . if 10 % of the diplomats speak both languages , then how many diplomats attended the conference ? \nOptions: a ) 72 , b ) 96 , c ) 108 , d ) 120 , e ) 150", "output": [ "e" ] }, { "id": "task1421-b38d6067897c4d448970cba7841c4c17", "input": "Problem: a bag contains 7 green and 8 white balls . if two balls are drawn simultaneously , the probability that both are of the same colour is - . \nOptions: a ) 7 / 18 , b ) 7 / 19 , c ) 7 / 11 , d ) 7 / 12 , e ) 7 / 15", "output": [ "e" ] }, { "id": "task1421-772cbcf4e95b48e1b31b4746d07c5f33", "input": "Problem: at an international conference , “ red ” world countries and “ blue ” world countries are the only participants . the ratio of “ red ” world participants to “ blue ” world participants is 5 : 5 . if one - third of “ red ” world participants are left - handed and two - thirds of “ blue ” world participants are left - handed , then what is the fraction of the participants who are left - handed ? \nOptions: a ) 1 / 4 , b ) 1 / 8 , c ) 1 / 6 , d ) 1 / 2 , e ) 1", "output": [ "d" ] }, { "id": "task1421-06685777e1b84bfaa99aa7e0500c2029", "input": "Problem: income and expenditure of a person are in the ratio 3 : 2 . if the income of the person is rs . 21000 , then find his savings ? \nOptions: a ) 6000 , b ) 7000 , c ) 8000 , d ) 9000 , e ) 10000", "output": [ "b" ] }, { "id": "task1421-fc26d0e0ac0a43deab0c6b8696046969", "input": "Problem: two numbers are in the ratio 3 : 5 . if 9 be subtracted from each , they are in the ratio of 2 : 3 . the first number is : \nOptions: a ) a ) 27 , b ) b ) 98 , c ) c ) 34 , d ) d ) 35 , e ) e ) 62", "output": [ "a" ] }, { "id": "task1421-2a5ed486e9d54985b8a6108c23aaec0e", "input": "Problem: a certain bag contains 100 balls â € ” 10 white , 30 green , 10 yellow , 47 red , and 3 purple . if a ball is to be chosen at random , what is the probability that the ball will be neither red nor purple ? \nOptions: a ) 0.9 , b ) 0.75 , c ) 0.6 , d ) 0.8 , e ) 0.5", "output": [ "e" ] }, { "id": "task1421-61f835bb1c0d405f9b270900c8b58986", "input": "Problem: a starts business with rs . 3500 and after 6 months , b joins with a as his partner . after a year , the profit is divided in the ratio 2 : 3 . what is b â € ™ s contribution in the capital ? \nOptions: a ) 24887 , b ) 20778 , c ) 23788 , d ) 10500 , e ) 2811", "output": [ "d" ] }, { "id": "task1421-19b3cbf530e2487481d725349df661d8", "input": "Problem: mukesh weight 56.7 kg . if he reduces his weight in the ratio 7 : 6 . new weight of mukesh is ? \nOptions: a ) 47.6 , b ) 48.6 , c ) 49.6 , d ) 50.6 , e ) 51.6", "output": [ "b" ] }, { "id": "task1421-4d0c4b81aa18493c97fe82c3e03844c1", "input": "Problem: bag a contains red , white and blue marbles such that the red to white marble ratio is 1 : 3 and the white to blue marble ratio is 2 : 3 . bag b contains red and white marbles in the ratio of 1 : 4 . together , the two bags contain 28 white marbles . how many red marbles could be in bag a ? \nOptions: a ) 1 , b ) 3 , c ) 4 , d ) 6 , e ) 7", "output": [ "c" ] }, { "id": "task1421-bd9c579e0ac5430c9041b182d7a1b7f2", "input": "Problem: the probability that a computer company will get a computer hardware contract is 3 / 4 and the probability that it will not get a software contract is 5 / 9 . if the probability of getting at least one contract is 4 / 5 , what is the probability that it will get both the contracts ? \nOptions: a ) 11 / 30 , b ) 31 / 60 , c ) 41 / 80 , d ) 51 / 120 , e ) 71 / 180", "output": [ "e" ] }, { "id": "task1421-3d0fb60a99aa4c958dbe326797095f35", "input": "Problem: a bag contains 3 red , 4 blue and 4 green balls . if 2 ballsare picked at random , what is the probability that both are red ? \nOptions: a ) 2 / 15 , b ) 2 / 21 , c ) 3 / 55 , d ) 3 / 29 , e ) 4 / 27", "output": [ "c" ] }, { "id": "task1421-3083e8a1e7db4eb09cfc423ba3871415", "input": "Problem: in a zoo , the ratio of the number of cheetahs to the number 4 then what is the increase in the number of pandas ? \nOptions: a ) 2 , b ) 12 , c ) 5 , d ) 10 , e ) 15", "output": [ "b" ] }, { "id": "task1421-611e9497ab57462290430388a84018ac", "input": "Problem: there are 200 doctors and nurses at a hospital . if the ratio of doctors to nurses is 4 to 6 , how many nurses are at the hospital ? \nOptions: a ) 110 , b ) 120 , c ) 130 , d ) 140 , e ) 150", "output": [ "b" ] }, { "id": "task1421-33d3a1b6451743478896482310dfb653", "input": "Problem: the ratio of the present age of sandy to that of molly is 7 : 2 . eight years from now , the ratio of the ages of sandy to molly will be 5 : 2 . what was sandy ' s age 6 years ago ? \nOptions: a ) 18 , b ) 24 , c ) 30 , d ) 36 , e ) 42", "output": [ "d" ] }, { "id": "task1421-94ed2d4d06234015ad10bd400a869df7", "input": "Problem: how many odd factors does 520 have ? \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 8", "output": [ "b" ] }, { "id": "task1421-e6f15e186f854ae69c1999b16ecf9f6a", "input": "Problem: how many factors of 2475 are odd numbers greater than 1 ? \nOptions: a ) 3 , b ) 4 , c ) 17 , d ) 6 , e ) 7", "output": [ "c" ] }, { "id": "task1421-bf7ba8932fd14546ba5d3faefcd8fb04", "input": "Problem: in a class of 50 students , 12 enrolled for both english and german . 22 enrolled for german . if the students of the class enrolled for at least one of the two subjects , then how many students enrolled for only english and not german ? \nOptions: a ) 30 , b ) 10 , c ) 18 , d ) 28 , e ) 32", "output": [ "d" ] }, { "id": "task1421-7a4051a120b243cab690e3ff2d5e6321", "input": "Problem: there are 680 students in a school . the ratio of boys and girls in this school is 3 : 5 . find the total of girls & boys are there in this school ? \nOptions: a ) 425 , b ) 345 , c ) 375 , d ) 380 , e ) 400", "output": [ "a" ] }, { "id": "task1421-4fc40070bc8040f49081f02b4af200ef", "input": "Problem: a farmer with 1,350 acres of land had planted his fields with corn , sugar cane , and tobacco in the ratio of 5 : 2 : 2 , respectively , but he wanted to make more money , so he shifted the ratio to 2 : 3 : 4 , respectively . how many more acres of land were planted with tobacco under the new system ? \nOptions: a ) 75 , b ) 150 , c ) 300 , d ) 450 , e ) 600", "output": [ "c" ] }, { "id": "task1421-1da394e3e5824ef3aa59b22feee05bc9", "input": "Problem: in a graduating class of 236 students , 144 took geometry and 119 took biology . what is the difference between the greatest possible number and the smallest possible number of students that could have taken both geometry and biology ? \nOptions: a ) 144 , b ) 119 , c ) 113 , d ) 117 , e ) 31", "output": [ "d" ] }, { "id": "task1421-4f8d150089734d5abf64820040da3da4", "input": "Problem: if the ratio of a to b is 11 to 3 and the ratio of b to c is 1 to 5 , what is the ratio of a to c ? \nOptions: a ) 4 / 15 , b ) 11 / 15 , c ) 2 / 5 , d ) 4 / 5 , e ) 7 / 6", "output": [ "b" ] }, { "id": "task1421-19178461fc6c4fb78528937522b1b215", "input": "Problem: the ratio of the two natural numbers is 5 : 6 . if a certain number is added to both the numbers , the ratio becomes 7 : 8 . if the larger number exceeds the smaller number by 10 , find the number added ? \nOptions: a ) 17 , b ) 14 , c ) 10 , d ) 16 , e ) 20", "output": [ "c" ] }, { "id": "task1421-5882ac2f6aef4ec5b0ed6cc9da1d17c3", "input": "Problem: two numbers are in the ratio 3 : 4 . if their l . c . m . is 36 . what is sum of the numbers ? \nOptions: a ) 21 , b ) 56 , c ) 76 , d ) 84 , e ) 85", "output": [ "a" ] }, { "id": "task1421-7661e181ce3b40b980680b2b0aebd591", "input": "Problem: if a and d are both integers , a > d , and - 3 c > 19 , then the largest value of d would be ? \nOptions: a ) - 5 , b ) - 6 , c ) - 7 , d ) - 8 , e ) - 10", "output": [ "d" ] }, { "id": "task1421-e5248b75226d4add80cdeabf838d778e", "input": "Problem: the ratio of spinsters to cats is 2 to 7 . if there are 55 more cats than spinsters , how many spinsters are there ? \nOptions: a ) 20 , b ) 21 , c ) 22 , d ) 23 , e ) 24", "output": [ "c" ] }, { "id": "task1421-5cefe5c8124648f6afd596a02b3162f2", "input": "Problem: the sub - duplicate ratio of 1 : 9 is \nOptions: a ) 4 : 3 , b ) 1 : 2 , c ) 1 : 3 , d ) 1 : 4 , e ) 2 : 3", "output": [ "c" ] }, { "id": "task1421-585b3543565a49bf917aca2c8e79ad94", "input": "Problem: 100 liters of a mixture contains milk and water in the ratio 7 : 3 . if 10 liters of this mixture be replaced by 10 liters of milk , the ratio of milk to water in the new mixture would be ? \nOptions: a ) 7 : 8 , b ) 8 : 3 , c ) 3 : 8 , d ) 8 : 7 , e ) 7 : 1", "output": [ "b" ] }, { "id": "task1421-7d916fa9d2b84cb393229e5d7b1f8c46", "input": "Problem: in the third grade of windblown school there are 96 students , one third of them failed the math test and 1 / 6 failed that literature test . at least how many students failed both tests ? \nOptions: a ) 0 . , b ) 6 . , c ) 8 . , d ) 10 . , e ) 12 .", "output": [ "a" ] }, { "id": "task1421-ce82796442124add8af14018691db168", "input": "Problem: out of 410 students of a school , 325 play football , 175 play cricket and 50 neither play football nor cricket . how many students play both football and cricket ? \nOptions: a ) 120 , b ) 150 , c ) 100 , d ) 140 , e ) 220", "output": [ "d" ] }, { "id": "task1421-b938f070566044c3bae9d393aefc9ee7", "input": "Problem: of the 75 cars on a car lot , 45 have air - conditioning , 35 have power steering , and 12 have both air - conditioning and power steering . how many of the cars on the lot have neither air - conditioning nor power steering ? \nOptions: a ) 7 , b ) 8 , c ) 10 , d ) 15 , e ) 18", "output": [ "a" ] }, { "id": "task1421-c4ccbf205c9f4c4b950b2c2fba930b0c", "input": "Problem: three numbers are in the ratio 1 : 4 : 6 and their h . c . f is 9 . the numbers are : \nOptions: a ) 1 , 4,6 , b ) 12 , 24,36 , c ) 10 , 20 , 30 , d ) 12 , 24 , 36 , e ) 9 , 36,54 .", "output": [ "e" ] }, { "id": "task1421-aea0c080baa2475fa707c6af273418cd", "input": "Problem: two family reunions are happening at the same hotel , the dates reunion and the hall reunion . all 50 guests at the hotel attend at least one of the reunions . if 50 people attend the dates reunion and 60 people attend the hall reunion , how many people attend both reunions ? \nOptions: a ) 2 , b ) 5 , c ) 10 , d ) 16 , e ) 60", "output": [ "e" ] }, { "id": "task1421-452ca1c24d98462a8b37c79f3ac27e04", "input": "Problem: in what ratio mental a at rs . 68 per kg be mixed with another metal at rs . 96 per kg so that cost of alloy ( mixture ) is rs . 82 per kg ? \nOptions: a ) 5 : 8 , b ) 4 : 7 , c ) 3 : 7 , d ) 1 : 1 , e ) 9 : 8", "output": [ "d" ] }, { "id": "task1421-a554e84bbb624116be571d8ed456f15d", "input": "Problem: praveen starts business with rs . 3220 and after 5 months , hari joins with praveen as his partner . after a year , the profit is divided in the ratio 2 : 3 . what is hari ’ s contribution in the capital ? \nOptions: a ) s . 7500 , b ) s . 8000 , c ) s . 8280 , d ) s . 9000 , e ) s . 6000", "output": [ "c" ] }, { "id": "task1421-65ab7ea25dff4a8483367989ed3d67ee", "input": "Problem: 50 liters of a mixture contains milk and water in the ratio 3 : 2 . if 5 liters of this mixture be replaced by 5 liters of milk , the ratio of milk to water in the new mixture would be ? \nOptions: a ) 6 : 5 , b ) 6 : 2 , c ) 6 : 4 , d ) 7 : 4 , e ) 7 : 2", "output": [ "d" ] }, { "id": "task1421-97e3a4b23f794a989a4350d2398c4ec0", "input": "Problem: the ratio between the present ages of a and b is 6 : 3 respectively . the ratio between a ' s age 4 years ago and b ' s age 4 years hence is 1 : 1 . what is the ratio between a ' s age 4 years hence and b ' s age 4 years ago ? \nOptions: a ) 5 : 4 , b ) 3 : 0 , c ) 5 : 1 , d ) 3 : 2 , e ) 3 : 7", "output": [ "c" ] }, { "id": "task1421-5bb5a71436af4a28adc8f3a09d48d06c", "input": "Problem: find the ratio in which rice at rs . 7.00 a kg be mixed with rice at rs . 5.70 a kg to produce a mixture worth rs . 6.30 a kg ? \nOptions: a ) 1 : 3 , b ) 2 : 3 , c ) 3 : 4 , d ) 6 : 7 , e ) none of these", "output": [ "d" ] }, { "id": "task1421-3eeb91a98de94126acf719ba80a43c9a", "input": "Problem: a girl scout was selling boxes of cookies . in a month , she sold both boxes of chocolate chip cookies ( $ 1.25 each ) and boxes of plain cookies ( $ 0.75 each ) . altogether , she sold 1,585 boxes for a combined value of $ 1 , 586.75 . how many boxes of plain cookies did she sell ? \nOptions: a ) 0 , b ) 233 , c ) 500 , d ) 695 , e ) 789", "output": [ "e" ] }, { "id": "task1421-28c373a7631c4342aa448924a5146f07", "input": "Problem: apple costs l rupees per kilogram for first 30 kgs and q rupees per kilogram for each additional kilogram . if the price of 33 kilograms is 360 and for 36 kgs of apples is 420 then the cost of first 25 kgs of apples is \nOptions: a ) 100 , b ) 250 , c ) 125 , d ) 110 , e ) 115", "output": [ "b" ] }, { "id": "task1421-513f8db644fb4e93925a7b24a08f207b", "input": "Problem: two vessels p and q contain 62.5 % and 87.5 % of alcohol respectively . if 12 litres from vessel p is mixed with 4 litres from vessel q , the ratio of alcohol and water in the resulting mixture is ? \nOptions: a ) 19 : 2 , b ) 18 : 3 , c ) 11 : 1 , d ) 11 : 5 , e ) 11 : 4", "output": [ "d" ] }, { "id": "task1421-8ac2ea5afbcf4ed899345c3d83afd439", "input": "Problem: x starts a business with rs . 52000 . y joins in the business after 6 months with rs . 26000 . what will be the ratio in which they should share the profit at the end of the year ? \nOptions: a ) 1 : 2 , b ) 2 : 3 , c ) 1 : 3 , d ) 4 : 1 , e ) none of these", "output": [ "d" ] }, { "id": "task1421-add66f612c6e45c48018b7c66afa1446", "input": "Problem: there are 624 students in a school . the ratio of boys and girls in this school is 3 : 5 . find the total of girls & boys are there in this school ? \nOptions: a ) 320 , b ) 345 , c ) 375 , d ) 390 , e ) 400", "output": [ "d" ] }, { "id": "task1421-693823be6ea54703ac09e10570a35d41", "input": "Problem: two numbers are in the ratio of 5 : 7 . if 33 is subtracted from each number , they are in the ratio of 1 : 2 . what are the two numbers ? \nOptions: a ) 45 , 63 , b ) 50 , 70 , c ) 55 , 77 , d ) 60 , 84 , e ) 65 , 91", "output": [ "c" ] }, { "id": "task1421-55b18b47f3fb4230bb4d8b82f735d2c3", "input": "Problem: ratio between rahul and deepak is 4 : 3 , after 6 years rahul age will be 18 years . what is deepak present age ? \nOptions: a ) 22 , b ) 15 , c ) 77 , d ) 9 , e ) 182", "output": [ "d" ] }, { "id": "task1421-279cffab01d7484ca1627d3864fdd120", "input": "Problem: in what ratio must rice of rs . 16 per kg be mixed with rice of rs . 24 per kg so that cost of mixture is rs . 18 per kg ? \nOptions: a ) 4 : 1 , b ) 2 : 1 , c ) 3 : 1 , d ) 4 : 3 , e ) 4 : 5", "output": [ "c" ] }, { "id": "task1421-dffaf55eb0894bc29d1358c5a4797d30", "input": "Problem: how many trailing zeroes does 53 ! + 54 ! have ? \nOptions: a ) 12 , b ) 13 , c ) 14 , d ) 15 , e ) 16", "output": [ "b" ] }, { "id": "task1421-c72a17e987e04abcbd63ee0962dfa569", "input": "Problem: a student committee on academic integrity has 132 ways to select a president and vice president from a group of candidates . the same person can not be both president and vice president . how many candidates are there ? \nOptions: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 12", "output": [ "e" ] }, { "id": "task1421-e32c3e3867a543e39d71572fdf056316", "input": "Problem: the ratio between the presents of the a and b is 2 : 3 . if b is 5 years older than a , what will be the ratio of the ages of a and b after 5 years ? \nOptions: a ) 3 : 4 , b ) 1 : 2 , c ) 2 : 3 , d ) 5 : 6 , e ) 1 : 3", "output": [ "a" ] }, { "id": "task1421-d497dbf73044453190856891810e4ca9", "input": "Problem: the ratio between the present ages of a and b is 4.5 : 3 respectively . the ratio between a ' s age 4 years ago and b ' s age 4 years hence is 1 : 1 . what is the ratio between a ' s age 4 years hence and b ' s age 4 years ago ? \nOptions: a ) 3 : 4 , b ) 3 : 0 , c ) 3 : 1 , d ) 7 : 3 , e ) 3 : 7", "output": [ "d" ] }, { "id": "task1421-b3759806f6064fb39c8381a59bef4bcf", "input": "Problem: the h . c . f . of two numbers is 60 and the other two factors of their l . c . m . are 11 and 15 . the larger of the two numbers is : \nOptions: a ) 276 , b ) 300 , c ) 500 , d ) 700 , e ) 900", "output": [ "e" ] }, { "id": "task1421-4a3a2e56761c4b9791108b83ce37cf2c", "input": "Problem: if log 102 = 0.3010 , what is the value of log 101600 ? \nOptions: a ) 3.208 , b ) 3.202 , c ) 3.209 , d ) 3.204 , e ) 3.2112", "output": [ "d" ] }, { "id": "task1421-2499fcab649b478f96731b10821ab02a", "input": "Problem: a starts business with rs . 3500 and after 5 months , b joins with a as his partner . after a year , the profit is divided in the ratio 2 : 3 . what is b ' s contribution in the capital ? \nOptions: a ) rs . 9228 , b ) rs . 9129 , c ) rs . 9120 , d ) rs . 9000 , e ) rs . 1922", "output": [ "d" ] }, { "id": "task1421-3f1648dab4b849b99ccf15e9244402cc", "input": "Problem: how many zeros does 1000 ! end with ? \nOptions: a ) 20 o , b ) 24 o , c ) 249 , d ) 30 o , e ) 325", "output": [ "c" ] }, { "id": "task1421-a276e923796f45fd991002ab31d1383e", "input": "Problem: there are 456 doctors and nurses in a hospital . if the ratio of the doctors to the nurses is 8 : 11 , then how many nurses are there in the hospital ? \nOptions: a ) 264 , b ) 209 , c ) 57 , d ) 171 , e ) 181", "output": [ "a" ] }, { "id": "task1421-b15f02c1798e4c6eaaed5ee6e993355e", "input": "Problem: a 60 kg metal bar made of alloy of tin and silver lost 6 kg of its weight in the water . 10 kg of tin loses 1.375 kg in the water ; 5 kg of silver loses 0.375 kg . what is the ratio of tin to silver in the bar ? \nOptions: a ) 1 / 4 , b ) 2 / 5 , c ) 1 / 2 , d ) 3 / 5 , e ) 2 / 3", "output": [ "e" ] }, { "id": "task1421-4e9663e7b30642958087f17b6b723bd2", "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 3 / 5 of the students are female , what is ratio of male to female students on honor roll ? \nOptions: a ) 5 / 9 , b ) 8 / 15 , c ) 23 / 30 , d ) 43 / 60 , e ) 53 / 90", "output": [ "b" ] }, { "id": "task1421-f62030cba1a345ebb59143b18b397a65", "input": "Problem: the l . c . m . of 2 numbers is 40 . the numbers are in the ratio 4 : 5 . find their sum ? \nOptions: a ) 18 , b ) 40 , c ) 48 , d ) 32 , e ) 56", "output": [ "a" ] }, { "id": "task1421-39d1f39497e74d30b36fffa8a97c881d", "input": "Problem: the ratio of spinsters to cats is 2 to 9 . if there are 42 more cats than spinsters , how many spinsters are there ? \nOptions: a ) 9 , b ) 10 , c ) 11 , d ) 12 , e ) 13", "output": [ "d" ] }, { "id": "task1421-25096c37a76a4ac6bdf545229ed794b7", "input": "Problem: of the 85 house in a development , 50 have a two - car garage , 40 have an in - the - ground swimming pool , and 35 have both a two - car garage and an in - the - ground swimming pool . how many houses in the development have neither a two - car garage nor an in - the - ground swimming pool ? \nOptions: a ) 10 , b ) 15 , c ) 20 , d ) 25 , e ) 30", "output": [ "e" ] }, { "id": "task1421-361f6bb4b7314eb4939281135a641602", "input": "Problem: the simple form of the ratio 9 / 8 : 3 / 4 is ? \nOptions: a ) 5 : 8 , b ) 5 : 5 , c ) 5 : 9 , d ) 3 : 2 , e ) 5 : 1", "output": [ "d" ] }, { "id": "task1421-1925dc9fd0ec4cdda68c7968d245e9d3", "input": "Problem: the probability that event a occurs is 0.4 , and the probability that events a and b both occur is 0.45 . if the probability that either event a or event b occurs is 0.6 , what is the probability that event b will occur ? \nOptions: a ) 0.05 , b ) 0.15 , c ) 0.45 , d ) 0.5 , e ) 0.55", "output": [ "e" ] }, { "id": "task1421-35383bd8f3d148b3b2ed46f8c056c997", "input": "Problem: there are 192 items that are members of set u . of these items , 49 are members of set b , 59 are not members of either of set a or set b , and 23 are members of both sets a and b . how many of the members of set u are members of set a ? \nOptions: a ) 72 , b ) 85 , c ) 107 , d ) 98 , e ) 108", "output": [ "c" ] }, { "id": "task1421-90e0e15044244e5eb93b8ac4fcf9d55a", "input": "Problem: a person want to give his money of $ 600 to his 3 children a , b , c in the ratio 1 : 2 : 3 . what is the b + c share ? \nOptions: a ) $ 200 , b ) $ 300 , c ) $ 150 , d ) $ 450 , e ) $ 500", "output": [ "e" ] }, { "id": "task1421-1cec5a8c42824790b4c6886a1b3ba2b4", "input": "Problem: the ratio of numbers is 3 : 4 and their h . c . f is 4 . their l . c . m is ? \nOptions: a ) 23 , b ) 77 , c ) 88 , d ) 48 , e ) 11", "output": [ "d" ] }, { "id": "task1421-8acf32a442c0486c9c27f0d99e49f281", "input": "Problem: two vessels p and q contain 62.5 % and 87.5 % of alcohol respectively . if 2 litres from vessel p is mixed with 4 litres from vessel q , the ratio of alcohol and water in the resulting mixture is ? \nOptions: a ) 16 : 5 , b ) 14 : 5 , c ) 16 : 7 , d ) 19 : 5 , e ) none of these", "output": [ "d" ] }, { "id": "task1421-660bb05a092249939d57ead6e48068e2", "input": "Problem: among 300 students , 56 % study sociology , 44 % study mathematics and 40 % study biology . if 30 % of students study both mathematics and sociology , what is the largest possible number of students who study biology but do not study either mathematics or sociology ? \nOptions: a ) 30 , b ) 90 , c ) 120 , d ) 172 , e ) 188", "output": [ "b" ] }, { "id": "task1421-f01cc012d429484191449a2d3c61e2ac", "input": "Problem: three numbers are in the ratio 4 : 5 : 6 and their product is 76680 . the largest number is \nOptions: a ) 30 , b ) 24 , c ) 26 , d ) 28 , e ) 22", "output": [ "b" ] }, { "id": "task1421-0fd1ef6623144aacb932eaca0f1a8ed8", "input": "Problem: how many positive integers w between 200 and 300 ( both inclusive ) are not divisible by 2 , 3 or 5 ? \nOptions: a ) 3 , b ) 16 , c ) 75 , d ) 24 , e ) 26", "output": [ "e" ] }, { "id": "task1421-a48bfa92216741b8b8988504b900d12a", "input": "Problem: in a group of 100 cars , 49 cars do not have air conditioning . if at least 51 cars have racing stripes , what is the greatest number of cars that could have air conditioning but not racing stripes ? \nOptions: a ) 49 , b ) 47 , c ) 48 , d ) 51 , e ) 53", "output": [ "a" ] }, { "id": "task1421-5bf374b3077c45cb8bdce30669078c48", "input": "Problem: in a class of 25 students , 15 play hockey and 16 play basketball . if there are 4 students who play neither sport , determine the number of students who play both hockey and basketball ? \nOptions: a ) 10 , b ) 11 , c ) 13 , d ) 14 , e ) 15", "output": [ "a" ] }, { "id": "task1421-8d97a5bbc1d841239531ce2c8f36d2c1", "input": "Problem: what is the square root of 225 ? \nOptions: a ) 6 , b ) 9 , c ) 12 , d ) 45 , e ) 15", "output": [ "e" ] }, { "id": "task1421-9a2c67f024f94195994cad2441db21e0", "input": "Problem: the ratio of two quantities is incorrect when written as 10 to 14 . how should this ratio be written ? \nOptions: a ) 5 : 14 , b ) 10 : 7 , c ) 20 : 24 , d ) 5 : 7 , e ) it can not be determined from the information given", "output": [ "d" ] }, { "id": "task1421-fe15af342c714a3180551961c9e0d5f6", "input": "Problem: tea worth rs . 126 per kg are mixed with a third variety in the ratio 1 : 1 : 2 . if the mixture is worth rs . 153 per kg , the price of the third variety per kg \nOptions: a ) 175.59 , b ) 175.5 , c ) 175.57 , d ) 175.52 , e ) 175.11", "output": [ "c" ] }, { "id": "task1421-cf0c1290ea594a2889ac35dc76d62c42", "input": "Problem: a certain university will select 2 of 6 candidates eligible to fill a position in the mathematics department and 3 of 5 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ? \nOptions: a ) 42 , b ) 70 , c ) 150 , d ) 165 , e ) 315", "output": [ "c" ] }, { "id": "task1421-3ccdccd77b384e6a9d0ce95c70e2bbf2", "input": "Problem: ratio between rahul and deepak is 4 : 3 , after 6 years rahul age will be 34 years . what is deepak present age ? \nOptions: a ) 22 , b ) 15 , c ) 77 , d ) 21 , e ) 182", "output": [ "d" ] }, { "id": "task1421-a7d5878acc5040ed8986ffb09e236bc9", "input": "Problem: log 3 n + log 7 n what is 3 digit number n that will be whole number \nOptions: a ) 343 , b ) 729 , c ) 829 , d ) 929 , e ) 727", "output": [ "a" ] }, { "id": "task1421-e6a31d14bba04974ae7533fce1dcd4c1", "input": "Problem: find the fraction which has the same ratio to 2 / 13 that 5 / 34 has to 7 / 48 ? \nOptions: a ) 240 / 1576 , b ) 240 / 1542 , c ) 240 / 1547 , d ) 240 / 1528 , e ) 240 / 1529", "output": [ "c" ] }, { "id": "task1421-7e7f5ca3c2a141c5b74e050803f5e6c4", "input": "Problem: in the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30 . in the sport formulation , the ratio of flavoring to corn syrup is three times as great as in the standard formulation , and the ratio of flavoring to water is half that of the standard formulation . if a large bottle of the sport formulation contains 5 ounces of corn syrup , how many ounces of water does it contain ? \nOptions: a ) 45 , b ) 50 , c ) 55 , d ) 60 , e ) 75", "output": [ "e" ] }, { "id": "task1421-22186656a116432f83176d9e8329c239", "input": "Problem: there are 8 executives , including the ceo and cfo , that are asked to form a small team of 4 members . however , the ceo and cfo may not both be assigned to the team . given this constraint , how many ways are there to form the team ? \nOptions: a ) 45 , b ) 55 , c ) 65 , d ) 75 , e ) 85", "output": [ "b" ] }, { "id": "task1421-a50ce6dbd3b343a4894de17856c18a66", "input": "Problem: the ratio of three numbers is 3 : 4 : 5 and the sum of their squares is 1250 . the sum of the numbers is ? \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 6 , e ) 5", "output": [ "e" ] }, { "id": "task1421-65e96fba763f44788e17dc270f6af98c", "input": "Problem: if the ratio of the sum of the first 6 terms of a g . p . to the sum of the first 3 terms of the g . p . is 28 , what is the common ratio of the g . p ? \nOptions: a ) 3 , b ) 1 / 3 , c ) 2 , d ) 9 , e ) 1 / 9", "output": [ "a" ] }, { "id": "task1421-d2841a60c40143ebb901fbc5de54eb96", "input": "Problem: what is the number of integers from 1 to 1000 ( inclusive ) that are divisible by neither 15 nor by 20 ? \nOptions: a ) 887 , b ) 678 , c ) 765 , d ) 345 , e ) 256", "output": [ "a" ] }, { "id": "task1421-6fd14f61b1844edfa30fa66942ed3c38", "input": "Problem: three numbers are in the ratio 3 : 4 : 5 and their l . c . m . is 1800 . their h . c . f is ? \nOptions: a ) 20 , b ) 30 , c ) 40 , d ) 50 , e ) 60", "output": [ "b" ] }, { "id": "task1421-a84568c78ad844258295c2f906bcf4a2", "input": "Problem: on multiplying a number b by 153 , the result obtained was 102325 . however , it is found that both the 2 ' s are wrong . find the correct result . \nOptions: a ) 104345 , b ) 107375 , c ) 108385 , d ) 109395 , e ) 105355", "output": [ "d" ] }, { "id": "task1421-48364cc936c04e12bc289dcb695f1805", "input": "Problem: in what ratio should a variety of rice costing rs . 7 per kg be mixed with another variety of rice costing rs . 8.75 per kg to obtain a mixture costing rs . 7.50 per kg ? \nOptions: a ) 5 / 6 , b ) 5 / 2 , c ) 5 / 1 , d ) 5 / 3 , e ) 7 / 6", "output": [ "b" ] }, { "id": "task1421-000bf3ed127445218f8d6c7e3e59b336", "input": "Problem: a certain fruit stand sold apples for $ 0.70 each and guava for $ 0.50 each . if a customer purchased both apples and bananas from the stand for a total of $ 6.30 , what total number of apples and bananas did the customer purchase ? \nOptions: a ) 12 , b ) 13 , c ) 11 , d ) 14 , e ) 5", "output": [ "c" ] }, { "id": "task1421-d1ebf997c26e4a96878d4f03cd09f275", "input": "Problem: there are 35 kids in a play school . 26 kids play with white color balls and some kids play with yellow color balls and 19 kids play with both color balls . how many kids use yellow color balls ? \nOptions: a ) 12 , b ) 32 , c ) 5 , d ) 28 , e ) 35", "output": [ "d" ] }, { "id": "task1421-b5c16ab377464add9c7efc3f8ad4350a", "input": "Problem: if 1 tic equals 5 tacs and 2 tacs equal 8 tocs , what is the ratio of one tic to one toc ? \nOptions: a ) 15 / 2 , b ) 20 / 1 , c ) 5 / 6 , d ) 3 / 10 , e ) 1 / 15", "output": [ "b" ] }, { "id": "task1421-afab6a3b78ca4fc18b368d75985e0dd4", "input": "Problem: how many zeros are there in 50 ! \nOptions: a ) 10 , b ) 11 , c ) 12 , d ) 13 , e ) 14", "output": [ "c" ] }, { "id": "task1421-857de98c942042acb5c4c7fd5a89f386", "input": "Problem: divide rs . 32000 in the ratio 1 : 7 ? \nOptions: a ) 12000 , 20000 , b ) 12000 , 200098 , c ) 4000 , 28000 , d ) 12000 , 20006 , e ) 12000 , 20001", "output": [ "c" ] }, { "id": "task1421-6dcefebc2ceb4a8ba25fb34a83fb3d83", "input": "Problem: find the ratio in which rice at rs . 7.20 a kg be mixed with rice at rs . 5.70 a kg to produce a mixture worth rs . 6.30 a kg ? \nOptions: a ) 1 : 3 , b ) 2 : 3 , c ) 3 : 4 , d ) 4 : 5 , e ) none of these", "output": [ "b" ] }, { "id": "task1421-8102518eca734bd5baf6c46d758dfe9e", "input": "Problem: the marks obtained by vijay and amith are in the ratio 4 : 5 and those obtained by amith and abhishek in the ratio of 3 : 2 . the marks obtained by vijay and abhishek are in the ratio of ? \nOptions: a ) 6 : 8 , b ) 6 : 2 , c ) 6 : 5 , d ) 6 : 4 , e ) 6 : 2", "output": [ "c" ] }, { "id": "task1421-206580c2bcea45b3a8796e397e3e782e", "input": "Problem: in a graduating class of 232 students , 144 took geometry and 119 took biology . what is the difference between the greatest possible number r and the smallest possible number of students that could have taken both geometry and biology ? \nOptions: a ) 144 , b ) 119 , c ) 113 , d ) 88 , e ) 31", "output": [ "d" ] }, { "id": "task1421-1dce6c9ab80341fd83b3fab3751bbff5", "input": "Problem: a container holding 12 ounces of a solution that is 1 part alcohol to 2 parts water is added to a container holding 9 ounces of a solution that is 1 part alcohol to 2 parts water . what is the ratio of alcohol to water in the resulting solution ? \nOptions: a ) 1 : 2 , b ) 3 : 7 , c ) 3 : 5 , d ) 4 : 7 , e ) 7 : 3", "output": [ "a" ] }, { "id": "task1421-c247a0691b8248debb756b754cf5e8b8", "input": "Problem: in a group of 65 people , 40 like cricket , 10 like both cricket and tennis . how many like tennis ? \nOptions: a ) 30 , b ) 35 , c ) 40 , d ) 45 , e ) 50", "output": [ "b" ] }, { "id": "task1421-af84fa9faa714aa28867291c62f40a47", "input": "Problem: if 0.25 of a number is equal to 0.05 of another number , the ratio of the numbers is : \nOptions: a ) 2 : 5 , b ) 3 : 4 , c ) 1 : 5 , d ) 20 : 5 , e ) 30 : 7", "output": [ "c" ] }, { "id": "task1421-441733c3ed584a16be184feb875bce24", "input": "Problem: if x and y are sets of integers , x # y denotes the set of integers that belong to set x or set y , but not both . if x consists of 8 integers , y consists of 10 integers , and 6 of the integers are in both x and y , then x # y consists of how many integers ? \nOptions: a ) 6 , b ) 16 , c ) 22 , d ) 30 , e ) 174", "output": [ "a" ] }, { "id": "task1421-0811014dafce49cc9482c99cf7646743", "input": "Problem: a bag contains 7 green and 8 white balls . if two balls are drawn simultaneously , the probability that both are of the same colour is \nOptions: a ) 7 / 16 , b ) 7 / 12 , c ) 7 / 19 , d ) 7 / 12 , e ) 7 / 15", "output": [ "e" ] }, { "id": "task1421-05f95f8c32ef4210b80cd961203f298d", "input": "Problem: in a group of people , if 30 people were made to stand in each column , 16 columns could be formed . if 32 people were made to stand in a column , how many columns could be formed ? \nOptions: a ) 15 , b ) 20 , c ) 25 , d ) 30 , e ) 35", "output": [ "a" ] }, { "id": "task1421-2d72fa015bdc43259b37c07ab502f7d9", "input": "Problem: a certain university will select 1 of 7 candidates eligible to fill a position in the mathematics department and 3 of 10 candidates eligible to fill 3 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 4 candidates are there to fill the 4 positions ? \nOptions: a ) 420 , b ) 770 , c ) 840 , d ) 165 , e ) 315", "output": [ "c" ] }, { "id": "task1421-9d7f7a3d1910408b973b48367e40a0b7", "input": "Problem: in what ratio should a variety of rice costing rs . 20 per kg be mixed with another variety of rice costing rs . 31.50 per kg to obtain a mixture costing rs . 23.75 per kg ? \nOptions: a ) 16 : 30 , b ) 30 : 14 , c ) 16 : 31 , d ) 31 : 15 , e ) 15 : 31", "output": [ "d" ] }, { "id": "task1421-9b15ac9dee8a4d8c85f7f9b1aa39aa3e", "input": "Problem: how many terminating zeroes e does 200 ! have ? \nOptions: a ) 40 , b ) 48 , c ) 49 , d ) 55 , e ) 64", "output": [ "c" ] }, { "id": "task1421-ac09a82f737d4d62a1ed1b1c8012faf5", "input": "Problem: if x and y are both odd prime numbers and x < y , how many distinct positive integer factors does 2 xy have ? \nOptions: a ) 3 , b ) 4 , c ) 6 , d ) 8 , e ) 12", "output": [ "d" ] }, { "id": "task1421-3e3adf688fc247059c89198ee804e606", "input": "Problem: the contents of two vessels containing copper and tin in the ratio 1 : 2 and 2 : 5 are mixed in the ratio 1 : 4 . the resulting mixture will have copper and tin in the ratio ? \nOptions: a ) 15 : 32 , b ) 21 : 28 , c ) 31 : 74 , d ) 33 : 37 , e ) 41 : 92", "output": [ "c" ] }, { "id": "task1421-c0f61a73fcc64d218758fa24d8513a5c", "input": "Problem: the monthly incomes of a and b are in the ratio 5 : 2 . b ' s monthly income is 12 % more than c ' s monthly income . if c ' s monthly income is rs . 12000 , then find the annual income of a ? \nOptions: a ) rs . 420000 , b ) rs . 403200 , c ) rs . 201600 , d ) rs . 504000 , e ) none of these", "output": [ "b" ] }, { "id": "task1421-b663e944f3a04f05a7f8e18ebf52d81f", "input": "Problem: the h . c . f and l . c . m of two numbers are 84 and 21 respectively . if the ratio of the two numbers is 1 : 4 , then the larger of the two numbers is \nOptions: a ) 32 , b ) 37 , c ) 84 , d ) 29 , e ) 21", "output": [ "c" ] }, { "id": "task1421-d7ead1a5b890461ca56340bebdf697d3", "input": "Problem: 210 reputed college students were asked in a survey if they preferred windows or mac brand computers . 60 students claimed that they preferred mac to windows brand computers . one third as many of the students who preferred mac to windows , equally preferred both brands . 90 of the students had no preference . how many of the students in the survey preferred windows to mac brand computers ? \nOptions: a ) 25 , b ) 40 , c ) 50 , d ) 60 , e ) 75", "output": [ "b" ] }, { "id": "task1421-05bc01adde9d42c1b5437b229d673359", "input": "Problem: in a class of 69 students 41 are taking french , 22 are taking german . of the students taking french or german , 9 are taking both courses . how many students are not enrolled in either course ? \nOptions: a ) 6 , b ) 15 , c ) 24 , d ) 33 , e ) 54", "output": [ "b" ] }, { "id": "task1421-86dcd637ea9b412fb8bdab8a23098e93", "input": "Problem: if 70 % of an equal to 40 % of b , then ratio between a and b is ? \nOptions: a ) 4 : 7 , b ) 4 : 9 , c ) 4 : 2 , d ) 4 : 1 , e ) 4 : 5", "output": [ "a" ] }, { "id": "task1421-06ea67743e28489d9ef7582072c4dd82", "input": "Problem: in a group of 400 readers who read science fiction or literacy works or both , 250 read science fiction and 230 read literacy works . how many read both science fiction and literacy works ? \nOptions: a ) 70 , b ) 80 , c ) 90 , d ) 100 , e ) 110", "output": [ "b" ] }, { "id": "task1421-b67dd358102d4366b96abbb09ad1b596", "input": "Problem: what is the value of ( log 2 3 ) ( log 3 4 ) ( log 4 5 ) . . . ( log 63 64 ) ? \nOptions: a ) 1 / 6 , b ) 2 , c ) 5 / 2 , d ) 6 , e ) 32", "output": [ "d" ] }, { "id": "task1421-048cb142322c4bf6bc224b8001d353ae", "input": "Problem: an amount of money is to be distributed among faruk , vasim and ranjith in the ratio 3 : 5 : 8 . if vasims share is rs . 1500 , what is the difference between faruk ' s and ranjith ' s shares ? \nOptions: a ) s 1200 , b ) s 1500 , c ) s 1600 , d ) s 1900 , e ) s 1700", "output": [ "b" ] }, { "id": "task1421-79892b1bed4f4db4b13d53eb320dcd0b", "input": "Problem: if 3 tic equals 6 tacs and 2 tacs equal 7 tocs , what is the ratio of one tic to one toc ? \nOptions: a ) 7 / 1 , b ) 6 / 5 , c ) 5 / 6 , d ) 3 / 10 , e ) 1 / 15", "output": [ "a" ] }, { "id": "task1421-5cb172453b274c858f748c497c3877c8", "input": "Problem: solution a is made up of alcohol and water mixed in the ratio of 21 : 4 by volume ; solution b is made up of alcohol and water mixed in the ratio of 2 : 3 by volume . if solution a and solution b are mixed in the ratio of 5 : 6 by volume , what percent of the resultant mixture is alcohol ? \nOptions: a ) 32.5 % , b ) 40 % , c ) 60 % , d ) 65 % , e ) can not be determined", "output": [ "c" ] }, { "id": "task1421-0fca6739f4844a2991819c04048dd561", "input": "Problem: in a group of 90 students , 30 are taking history , and 32 are taking statistics . if 59 students are taking history or statistics or both , then how many students are taking history but not statistics ? \nOptions: a ) 9 , b ) 19 , c ) 33 , d ) 27 , e ) 31", "output": [ "c" ] }, { "id": "task1421-03dd8b483d084fa5828183c4c4b97860", "input": "Problem: if n is the greatest positive integer for which 4 ^ n is a factor of 10 ! , then n = ? \nOptions: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 10", "output": [ "b" ] }, { "id": "task1421-3b2a60d151b74b2e8adeaa11da8662fb", "input": "Problem: two numbers are in the ratio of 1 : 2 . if 10 be added to both , their ratio changes to 3 : 5 . the greater number is \nOptions: a ) 20 , b ) 24 , c ) 28 , d ) 32 , e ) 40", "output": [ "e" ] }, { "id": "task1421-b4f0b8b264474465b6e99a878bae2a83", "input": "Problem: in what ratio must tea at rs . 62 per kg be mixed with tea at rs . 72 per kg so that the mixture must be worth rs . 67 per kg ? \nOptions: a ) 3 : 1 , b ) 3 : 2 , c ) 4 : 3 , d ) 5 : 3 , e ) 1 : 1", "output": [ "e" ] }, { "id": "task1421-668bd75337024a8cb49868074b9bd9d0", "input": "Problem: how many even integers from 1 to 100 ( both inclusive ) have even number of factors ? \nOptions: a ) 13 , b ) 14 , c ) 5 , d ) 6 , e ) 7", "output": [ "c" ] }, { "id": "task1421-65f9fbd521e747279e0169ea10cc9967", "input": "Problem: if two dice are thrown together , the probability of getting prime number on both dice is \nOptions: a ) 5 / 9 , b ) 1 / 9 , c ) 2 / 9 , d ) 4 / 9 , e ) 7 / 9", "output": [ "c" ] }, { "id": "task1421-872e65014573418eb73ed30a98d4888e", "input": "Problem: how many numbers are divisible by both 2 and 3 up to 300 ? \nOptions: a ) 50 , b ) 100 , c ) 150 , d ) 200 , e ) 250", "output": [ "a" ] }, { "id": "task1421-062bcd15f41140b494167e758dd49149", "input": "Problem: income and expenditure of a person are in the ratio 5 : 4 . if the income of the person is rs . 19000 , then find his savings ? \nOptions: a ) 3800 , b ) 3607 , c ) 3608 , d ) 3602 , e ) 3603", "output": [ "a" ] }, { "id": "task1421-340c29e216294c858aba4caaef35ba5f", "input": "Problem: in a group of 27 junior high school students , 7 take french , 10 take spanish , and 4 take both languages . the students taking both french and spanish are not counted with the 7 taking french or the 10 taking spanish . how many students are not taking either french or spanish ? \nOptions: a ) 7 , b ) 6 , c ) 9 , d ) 4 , e ) 6", "output": [ "e" ] }, { "id": "task1421-77c477ccf0264daa8a5c27a5d5825dea", "input": "Problem: how many of the positive factors of 42 are not factors of 56 ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "c" ] }, { "id": "task1421-64886e4a7b3f4810ac29907dbebabf8b", "input": "Problem: in what ratio must tea of rs . 42 per kg be mixed with tea of rs . 50 per kg so that cost of mixture is rs . 45 per kg ? \nOptions: a ) 5 : 3 , b ) 3 : 5 , c ) 2 : 3 , d ) 3 : 4 , e ) 1 : 2", "output": [ "a" ] }, { "id": "task1421-2fe433f62fd84e63a6f18110b830d8e2", "input": "Problem: a person want to give his money of $ 15800 to his 4 children a , b , c , d in the ratio 5 : 9 : 6 : 5 . what is the a + c share ? \nOptions: a ) $ 4000 , b ) $ 2890 , c ) $ 3005 , d ) $ 6952 , e ) $ 6003", "output": [ "d" ] }, { "id": "task1421-2943c38478a1430dbfaf1835905173cf", "input": "Problem: set a consists of the integers from 4 to 15 , inclusive , while set b consists of the integers from 7 to 20 , inclusive . how many distinct integers do belong to the both sets at the same time ? \nOptions: a ) 5 , b ) 7 , c ) 8 , d ) 9 , e ) 10", "output": [ "d" ] }, { "id": "task1421-38b0048480934ed39554f0dd1d58b6c9", "input": "Problem: two family reunions are happening at the same hotel , the oates reunion and the yellow reunion . all 100 guests at the hotel attend at least one of the reunions . if 42 people attend the oates reunion and 65 people attend the yellow reunion , how many people attend both reunions ? \nOptions: a ) 2 , b ) 7 , c ) 10 , d ) 16 , e ) 22", "output": [ "b" ] }, { "id": "task1421-496b10f46f934081baabee08a2fb3b0a", "input": "Problem: a certain telephone company offers two plans , a and b . under plan a , the company charges a total of $ 0.60 for the first 9 minutes of each call and $ 0.06 per minute thereafter . under plan b , the company charges $ 0.08 per minute of each call . what is the duration of a call , in minutes , for which the company charges the same amount under plan a and under plan b ? \nOptions: a ) 3 , b ) 9 , c ) 15 , d ) 21 , e ) 30", "output": [ "a" ] }, { "id": "task1421-b83692a2a13a45bc9003f72196981a63", "input": "Problem: if 4 tic equals 3 tacs and 6 tacs equal 4 tocs , what is the ratio of one tic to one toc ? \nOptions: a ) 15 / 2 , b ) 6 / 5 , c ) 5 / 6 , d ) 3 / 10 , e ) 2 / 1", "output": [ "e" ] }, { "id": "task1421-f6a05193f66b4bb68b552b5a8dae1818", "input": "Problem: at a certain restaurant , the ratio of the number of cooks to the number of waiters is 3 to 11 . when 12 more waiters are hired , the ratio of the number of cooks to the number of waiters changes to 1 to 5 . how many cooks does the restaurant have ? \nOptions: a ) 4 , b ) 6 , c ) 9 , d ) 12 , e ) 15", "output": [ "c" ] }, { "id": "task1421-1451f5b7dd874fcbae1ba6649984cbd1", "input": "Problem: the probability that a computer company will get a computer hardware contract is 2 / 3 and the probability that it will not get a software contract is 5 / 9 . if the probability of getting at least one contract is 4 / 5 , what is the probability that it will get both the contracts ? \nOptions: a ) 14 / 45 , b ) 4 / 9 , c ) 4 / 5 , d ) 4 / 6 , e ) none of these", "output": [ "a" ] }, { "id": "task1421-f916a358c82b48f09e64cd50b61034e6", "input": "Problem: if n is the greatest positive integer for which 2 ^ n is a factor of 6 ! , then n = ? \nOptions: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 10", "output": [ "b" ] }, { "id": "task1421-ea448816616d4c3682b5e3f5a1266fb8", "input": "Problem: praveen starts business with rs . 3360 and after 5 months , hari joins with praveen as his partner . after a year , the profit is divided in the ratio 2 : 3 . what is hari ’ s contribution in the capital ? \nOptions: a ) s . 7500 , b ) s . 8640 , c ) s . 8500 , d ) s . 9000 , e ) s . 6000", "output": [ "b" ] }, { "id": "task1421-d1b4993d4c9a467e97f693d106dfeac8", "input": "Problem: if jamie ' s income is rs 20000 , calculate his savings given that his income and expenditure are in the ratio 7 : 5 . ? \nOptions: a ) rs 7500 , b ) rs 4000 , c ) rs 2000 , d ) rs 8000 , e ) rs 7000", "output": [ "d" ] }, { "id": "task1421-9deacaad0ffe47fdbb7a769e92179fb5", "input": "Problem: in the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30 . in the sport formulation , the ratio of flavoring to corn syrup is three times as great as in the standard formulation , and the ratio of flavoring to water is half that of the standard formulation . if a large bottle of the sport formulation contains 2 ounces of corn syrup , how many ounces of water does it contain ? \nOptions: a ) 15 , b ) 30 , c ) 45 , d ) 60 , e ) 90", "output": [ "b" ] }, { "id": "task1421-1c50f3c526bd42418663808d65df9823", "input": "Problem: a certain bag contains 100 balls â € ” 50 white , 25 green , 10 yellow , 7 red , and 8 purple . if a ball is to be chosen at random , what is the probability that the ball will be neither red nor purple ? \nOptions: a ) 0.9 , b ) 0.85 , c ) 0.6 , d ) 0.8 , e ) 0.5", "output": [ "b" ] }, { "id": "task1421-5588dd59b8514c15aef578b86c8d9c2e", "input": "Problem: in a express train passengers traveling in a . c . sleeper class , first class and sleeper class are in the ratio 1 : 2 : 3 , and fare to each class in the ratio 5 : 4 : 2 . if the income from this train is rs . 57000 , the income of a . c . sleeper class is \nOptions: a ) rs . 8000 , b ) rs . 12000 , c ) rs . 15000 , d ) rs . 6000 , e ) none", "output": [ "c" ] }, { "id": "task1421-72bf5abd4e804fc1a0a73f5e34eee50d", "input": "Problem: what is the number of integers from 1 to 1000 ( inclusive ) that are divisible by neither 20 nor by 35 ? \nOptions: a ) 567 , b ) 850 , c ) 560 , d ) 923 , e ) 240", "output": [ "d" ] }, { "id": "task1421-688b6ebe5cc54a8f9c364614bd4de443", "input": "Problem: john distributes his pencil among his 4 friends rose , mary , ranjan , and rohit in the ratio 1 / 3 : 1 / 3 : 1 / 4 : 1 / 5 . what is the minimum no . of pencils that the person should have ? \nOptions: a ) 45 , b ) 67 , c ) 70 , d ) 77 , e ) 98", "output": [ "b" ] }, { "id": "task1421-aa1c825cfaa945169088a8b32ccc5429", "input": "Problem: a dog have birth to 12 puppies , 2 female and 10 male . what is the ratio of the female puppies to the male ? \nOptions: a ) 1 / 5 , b ) 1 / 6 , c ) 1 / 10 , d ) 2 / 12 , e ) 1 / 8", "output": [ "a" ] }, { "id": "task1421-5dbbc7c2ca524a0b811cfe7673b50cd5", "input": "Problem: cheese , bologna , and peanut butter sandwiches were made for a picnic in a ratio of 1 to 7 to 8 . if a total of 80 sandwiches were made , how many bologna sandwiches were made ? \nOptions: a ) 15 , b ) 30 , c ) 35 , d ) 42 , e ) 48", "output": [ "c" ] }, { "id": "task1421-3881a5abe47a4679b8544972eb882470", "input": "Problem: of the 20 members of a kitchen crew , 17 can use the meat - cutting machine , 18 can use the bread - slicing machine , and 15 can use both machines . if one member is chosen at random , what is the probability that the member chosen will be someone who can not use either machine ? \nOptions: a ) 0 , b ) 1 / 10 , c ) 1 / 7 , d ) 1 / 4 , e ) 1 / 3", "output": [ "a" ] }, { "id": "task1421-2b8797618451463588776779e113b8e6", "input": "Problem: mrs . evans gave a test to her freshmen economics class , which has 25 students enrolled and 22 of them answered question 1 correctly . if 20 answered question 2 correctly and 3 did not take the test then how many answered both questions correctly ? \nOptions: a ) 30 , b ) 20 , c ) 23 , d ) 17 , e ) 19", "output": [ "b" ] }, { "id": "task1421-8bcbfd6cb15c4d12a912481f7560e876", "input": "Problem: uba capital recently bought brand new vehicles for office use . uba capital only went for toyota and honda and bought more of toyota than honda at the ratio of 6 : 4 . if 60 % of the toyota bought and 40 % of the honda bought were suv ã ¢ â ‚ ¬ â „ ¢ s . how many suv ã ¢ â ‚ ¬ â „ ¢ s did uba capital buy in the aforementioned purchase ? \nOptions: a ) 66 % , b ) 64 % , c ) 68 % , d ) 52 % , e ) 72 %", "output": [ "d" ] }, { "id": "task1421-48153b6a40ed481fa8f3ea6a3a52a673", "input": "Problem: the ratio between the present age of p and q is 6 : 7 . if q is 4 years old than p , what will be the ratio of the ages of p and q after 4 years ? \nOptions: a ) 8 : 7 , b ) 7 : 8 , c ) 8 : 6 , d ) 6 : 7 , e ) 6 : 8", "output": [ "a" ] }, { "id": "task1421-27eb89917e6c44a6bd9178ae9a788de1", "input": "Problem: the ratio between the presents of the a and b is 6 : 7 . if b is 4 years older than a , what will be the ratio of the ages of a and b after 4 years ? \nOptions: a ) 1 : 2 , b ) 9 : 11 , c ) 7 : 8 , d ) 6 : 7 , e ) 3 : 4", "output": [ "c" ] }, { "id": "task1421-f9054b1b13cc4a69b7f26e66c9e3d229", "input": "Problem: two numbers are in the ratio of 5 : 7 . if 20 is subtracted from each number , they are in the ratio of 5 : 9 . what are the two numbers ? \nOptions: a ) 35 , 49 , b ) 40 , 56 , c ) 45 , 63 , d ) 50 , 70 , e ) 55 , 77", "output": [ "b" ] }, { "id": "task1421-0dfec03e453e429d9fe3cc60d5a31846", "input": "Problem: if both 112 and 33 are factors of the number a * 43 * 62 * 1311 , then what is the smallest possible value of a ? \nOptions: a ) 121 , b ) 3267 , c ) 363 , d ) 33 , e ) none of the above", "output": [ "c" ] }, { "id": "task1421-e75fa00f38b14c8cb31060d2c5f94feb", "input": "Problem: in a group of 8 semifinalists , all but 2 will advance to the final round . if in the final round only the top 3 will be awarded medals , then how many groups of medal winners are possible ? \nOptions: a ) 20 , b ) 56 , c ) 120 , d ) 560 , e ) 720", "output": [ "b" ] }, { "id": "task1421-d524a91ead784cd485a99a3362806764", "input": "Problem: the 7 th grade french and spanish classes each have 21 students in them , and there are 6 students in the 7 th grade taking both languages . if everyone in the 7 th grade is in at least one of the two language classes , how many students are taking just one of the two classes ? \nOptions: a ) 24 , b ) 28 , c ) 30 , d ) 32 , e ) 34", "output": [ "c" ] }, { "id": "task1421-033912433c4c487c80587889763c4e97", "input": "Problem: a can contains a mixture of liquids a and b is the ratio 7 : 5 . when 12 litres of mixture are drawn off and the can is filled with b , the ratio of a and b becomes 7 : 9 . how many liter of liquid a was contained by the can initially ? \nOptions: a ) 25 , b ) 27 , c ) 29 , d ) 28 , e ) 31", "output": [ "d" ] }, { "id": "task1421-39c0ab7cb6a649b597aea827dffce67b", "input": "Problem: a bag contains 12 red marbles . if someone were to remove 2 marbles from the bag , one at a time , and replace the first marble after it was removed , the probability that neither marble would be red is 49 / 64 . how many marbles are in the bag ? \nOptions: a ) 24 , b ) 48 , c ) 60 , d ) 96 , e ) 84", "output": [ "d" ] }, { "id": "task1421-ce70b50a46174527abceaceefb7e96e6", "input": "Problem: a can contains a mixture of two liquids a and b in the ratio 7 : 5 . when 9 litres of mixture are drawn off and the can is filled with b , the ratio of a and b becomes 7 : 9 . how many litres of liquid a was contained by the can initially ? \nOptions: a ) 25 , b ) 21 , c ) 20 , d ) 10 , e ) 15", "output": [ "b" ] }, { "id": "task1421-d018bbecbf5f4be4b71231ef06c86a4e", "input": "Problem: in a family 4 people eat only vegetarian , 3 people eat only non veg . , 2 people eat both veg and non veg . . how many people are in the family ? \nOptions: a ) 4 , b ) 3 , c ) 10 , d ) 2 , e ) 9", "output": [ "e" ] }, { "id": "task1421-a7c8f18fc23e431283c58f09338493bf", "input": "Problem: if the ratio of two number is 3 : 4 and lcm of the number is 180 then what is the number . \nOptions: a ) 15 , b ) 20 , c ) 25 , d ) 30 , e ) 35", "output": [ "a" ] }, { "id": "task1421-c5cf3559ccb140cf8ea223afe5590ec0", "input": "Problem: what is the largest power of 3 contained in 200 ! \nOptions: a ) 88 , b ) 48 , c ) 66 , d ) 97 , e ) 39", "output": [ "d" ] }, { "id": "task1421-65335cb6cb82431eb147fe79ecea7fe8", "input": "Problem: a began business with rs . 27000 and was joined afterwards by b with rs . 36000 . when did b join if the profits at the end of the year were divided in the ratio of 2 : 1 ? \nOptions: a ) 1.5 , b ) 6.5 , c ) 7.5 , d ) 8 , e ) 2", "output": [ "c" ] }, { "id": "task1421-9a5104e1f0c4458cbe16a98b58fbc0d9", "input": "Problem: in what ratio should a variety of rice costing rs . 6.5 per kg be mixed with another variety of rice costing rs . 8.75 per kg to obtain a mixture costing rs . 7.50 per kg ? \nOptions: a ) 5 / 6 , b ) 5 / 9 , c ) 5 / 4 , d ) 5 / 3 , e ) 7 / 6", "output": [ "c" ] }, { "id": "task1421-391d0fa9ec674820bb3dedf2a8c866ca", "input": "Problem: a company sells pens and pencils . the revenue from pens in 2007 was up 5 % from 2006 . the revenue from pencils declined 13 % over the same period . overall revenue was down 1 % from 06 to 07 . what was the ratio of pencil revenue to pen revenue in 2006 \nOptions: a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 4 , d ) 1 / 5 , e ) 1 / 6", "output": [ "a" ] }, { "id": "task1421-f01ac33157dd4009b246b1218c1b1eb6", "input": "Problem: in a certain alphabet , 11 letters contain a dot and a straight line . 24 letters contain a straight line but do not contain a dot . if that alphabet has 40 letters , all of which contain either a dot or a straight line or both , how many letters contain a dot but do not contain a straight line ? \nOptions: a ) 5 , b ) 8 , c ) 14 , d ) 20 , e ) 28", "output": [ "a" ] }, { "id": "task1421-bd55690112ab49ac9d0e0dc23a29be70", "input": "Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 5 to 2 and the ratio of indian to british stamps is 4 to 1 , what is the ratio of us to british stamps ? \nOptions: a ) 5 : 1 , b ) 10 : 5 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2", "output": [ "d" ] }, { "id": "task1421-7d12671301dc4c9f9033ab5cd9e786d1", "input": "Problem: a raz ' s company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales were up 7 percent from 1996 . if total revenues from car sales and truck sales in 1997 were up 1 percent from 1996 , what is the ratio of revenue from car sales in 1996 to revenue from truck sales in 1996 ? \nOptions: a ) 1 : 2 , b ) 4 : 5 , c ) 1 : 1 , d ) 3 : 2 , e ) 5 : 3", "output": [ "a" ] }, { "id": "task1421-b97a2ae543114fac9b812a4ce4e30a38", "input": "Problem: two vessels having volumes in the ratio 3 : 5 are filled with water and milk solutions . the ratio of milk and water in the two vessels are 1 : 2 and 3 : 2 respectively . if the contents of both the vessel are empties into a larger vessel , find the ratio of milk and water in the larger vessel . \nOptions: ['a ) 99 : 61', 'b ) 1 : 1', 'c ) 61 : 160', 'd ) 61 : 99', 'e ) 99 : 160']", "output": [ "b" ] }, { "id": "task1421-9bb43a540e4245ddbbc8c00c4c94d1b1", "input": "Problem: each factor of 150 is inscribed on its own plastic ball , and all of the balls are placed in a jar . if a ball is randomly selected from the jar , what is the probability that the ball is inscribed with a multiple of 15 ? \nOptions: a ) 1 / 16 , b ) 5 / 42 , c ) 1 / 8 , d ) 3 / 16 , e ) 1 / 3", "output": [ "c" ] }, { "id": "task1421-6dd68f713c9246d3b0b356e4f8a35ece", "input": "Problem: two spheres of their radios in the ratio 4 : 3 . find its volumes ratio ? \nOptions: ['a ) 64 : 13', 'b ) 13 : 64', 'c ) 27 : 64', 'd ) 64 : 27', 'e ) none of them']", "output": [ "d" ] }, { "id": "task1421-0187cdde7cc541c186b87a358393cc1a", "input": "Problem: in a group of 400 players some are outdoor players , some are indoor players and some plays both . 350 plays outdoors and 110 plays indoor . how many plays indoor as well as outdoor games . \nOptions: a ) 70 , b ) 60 , c ) 90 , d ) 100 , e ) 110", "output": [ "b" ] }, { "id": "task1421-30a2a4b8b2a64d868b8c194ab532349a", "input": "Problem: in a certain town , the ratio of ny yankees fans to ny mets fans is 2 : 1 , and the ratio of ny mets fans to boston red sox fans is 3 : 7 . if there are 320 baseball fans in the town , each of whom is a fan of exactly one of those three teams , how many ny mets fans are there in this town ? \nOptions: a ) 48 , b ) 52 , c ) 56 , d ) 60 , e ) 64", "output": [ "d" ] }, { "id": "task1421-01538060294b49a4a54778867360e68b", "input": "Problem: if 73 ! has 16 zeroes at the end , how many zeroes will 80 ! have at the end ? \nOptions: a ) 16 , b ) 17 , c ) 18 , d ) 19 , e ) 20", "output": [ "d" ] }, { "id": "task1421-ee77667b965542848553c0eeb7f6f786", "input": "Problem: how many of the positive factors of 17 are not factors of 34 ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4", "output": [ "a" ] }, { "id": "task1421-2ca4e26a6bf74d07bf57faa073374560", "input": "Problem: if g and d are both integers , g > d , and - 3 g > 19 , then the largest value of d would be ? \nOptions: a ) - 5 , b ) - 6 , c ) - 7 , d ) - 8 , e ) - 10", "output": [ "d" ] }, { "id": "task1421-d1e6abd4d342456d9036dc421f1d33c2", "input": "Problem: ratio and proportion 215 : 474 : : 537 : ? \nOptions: a ) 26 , b ) 27 , c ) 25 , d ) 22 , e ) 23", "output": [ "a" ] }, { "id": "task1421-0b81f2f65ac34fa99bc00ef006e5f3f4", "input": "Problem: sachin is younger than rahul by 7 years . if their ages are in the respective ratio of 7 : 9 , how old is sachin ? \nOptions: a ) 22.5 years , b ) 24.5 years , c ) 12.5 years , d ) 28.5 years , e ) 29.5 years", "output": [ "b" ] }, { "id": "task1421-bfb89a9488924f518663ac0b47b559d1", "input": "Problem: at an international conference , “ red ” world countries and “ blue ” world countries are the only participants . the ratio of “ red ” world participants to “ blue ” world participants is 7 : 3 . if one - third of “ red ” world participants are left - handed and two - thirds of “ blue ” world participants are left - handed , then what is the fraction of the participants who are left - handed ? \nOptions: a ) 45 / 21 , b ) 46 / 2 , c ) 13 / 30 , d ) 23 / 6 , e ) 4 / 6", "output": [ "c" ] }, { "id": "task1421-0dff6db5877a405f82bf113bff2630f3", "input": "Problem: a marketing survey of anytown found that the ratio of trucks to sedans to motorcycles was 3 : 7 : 2 , respectively . given that there are 9,800 sedans in anytown , how many motorcycles are there ? \nOptions: a ) 2800 , b ) 2100 , c ) 3600 , d ) 4200 , e ) 5200", "output": [ "a" ] }, { "id": "task1421-f012d1f9a80e43e793bbc24fa2e5d861", "input": "Problem: there are 35 student in a school . 20 if them speek hindi 19 of them speak eng 9 of them speak both , then how many student neithe speak eng nor speak hindi \nOptions: a ) 28 , b ) 30 , c ) 32 , d ) 35 , e ) none of these", "output": [ "e" ] }, { "id": "task1421-3d317e2ef3564c52bd3598bec7444755", "input": "Problem: in a certain school , the ratio of boys to girls is 5 to 13 . if there are 64 more girls than boys , how many boys are there ? \nOptions: a ) 27 , b ) 40 , c ) 45 , d ) 72 , e ) 117", "output": [ "b" ] }, { "id": "task1421-90b4dd836d8b4869aafc1adccb063a3f", "input": "Problem: 7 log 7 ( 8 ) = ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 8", "output": [ "e" ] }, { "id": "task1421-ef09eb2b0ef14b258dd7116af0fd7f98", "input": "Problem: the ratio between the present ages of a and b is 7 : 3 respectively . the ratio between a ' s age 4 years ago and b ' s age 4 years hence is 1 : 1 . what is the ratio between a ' s age 4 years hence and b ' s age 4 years ago ? \nOptions: a ) 3 : 4 , b ) 3 : 0 , c ) 9 : 1 , d ) 9 : 2 , e ) 3 : 9", "output": [ "c" ] }, { "id": "task1421-26d69ee6b5a9409f9b950734fb557e30", "input": "Problem: jill ' s favorite number is even and has some repeating prime factors . john is guessing jills favorite number , and the only hint she gives is that 7 is a prime factor . what is johns best guess ? \nOptions: a ) 84 , b ) 105 , c ) 54 , d ) 42 , e ) 70", "output": [ "a" ] }, { "id": "task1421-f7c3e307f94840be9f6187874e1fc082", "input": "Problem: x starts a business with rs . 45000 . y joins in the business after 3 months with rs . 24000 . what will be the ratio in which they should share the profit at the end of the year ? \nOptions: a ) 1 : 2 , b ) 2 : 1 , c ) 3 : 2 , d ) 2 : 3 , e ) 5 : 2", "output": [ "e" ] }, { "id": "task1421-4b0f4f94b0c3443bb7ee1a6e9b134f07", "input": "Problem: a garrison of 400 men had a provision for 31 days . after 26 days 275 persons re - enforcement leave the garrison . find the number of days for which the remaining ration will be sufficient ? \nOptions: a ) 16 days , b ) 45 days , c ) 10 days , d ) 17 days , e ) 18 days", "output": [ "a" ] }, { "id": "task1421-e6d0eee16afd43f7aa5ebc6689d7df3b", "input": "Problem: each factor of 230 is inscribed on its own plastic ball , and all of the balls are placed in a jar . if a ball is randomly selected from the jar , what is the probability that the ball is inscribed with a multiple of 46 ? \nOptions: a ) 1 / 16 , b ) 5 / 42 , c ) 1 / 8 , d ) 3 / 16 , e ) 1 / 4", "output": [ "e" ] }, { "id": "task1421-955794a23e0f4594a744da8e739b0c2a", "input": "Problem: how many numbers up to 200 are divisible by 2 and 3 both ? \nOptions: a ) 22 , b ) 33 , c ) 77 , d ) 28 , e ) 22", "output": [ "b" ] }, { "id": "task1421-1162d6c794ff4575a681f86a7a3416db", "input": "Problem: in a group of people , if 30 people were made to stand in each column , 16 columns could be formed . if 60 people were made to stand in a column , how many columns could be formed ? \nOptions: a ) 6 , b ) 8 , c ) 10 , d ) 12 , e ) 14", "output": [ "b" ] }, { "id": "task1421-e6dd4eae180d4cf781d520387aec2389", "input": "Problem: in a group of 15 people , 8 read english , 7 read french while 3 of them read none of these two . how many of them read french and english both ? \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 7 , e ) 5", "output": [ "b" ] }, { "id": "task1421-8bc4a980045c4a45b07cdb0ece456e42", "input": "Problem: a shipment of 250 smartphones contains 76 that are defective . if a customer buys two smartphones at random from the shipment , what is the approximate probability that both phones are defective ? \nOptions: a ) 1 / 250 , b ) 1 / 84 , c ) 1 / 11 , d ) 1 / 9 , e ) 1 / 3", "output": [ "c" ] }, { "id": "task1421-53d2cced63df4a1ab50f66c4c6a12915", "input": "Problem: the ratio of 2 numbers is 2 : 3 and their h . c . f . is 10 . their l . c . m . is ? \nOptions: a ) 30 , b ) 60 , c ) 20 , d ) 10 , e ) 40", "output": [ "b" ] }, { "id": "task1421-09daeb610a8746108ae53c71636402f7", "input": "Problem: water consists of hydrogen and oxygen , and the approximate ratio , by mass , of hydrogen to oxygen is 2 : 16 . approximately how many grams of oxygen are there in 162 grams of water ? \nOptions: a ) 16 , b ) 72 , c ) 112 , d ) 128 , e ) 144", "output": [ "e" ] }, { "id": "task1421-d53d910d2055425e910303090162f273", "input": "Problem: a bag contains 3 red , 2 blue and 3 green balls . if 2 ballsare picked at random , what is the probability that both are red ? \nOptions: a ) 2 / 21 , b ) 3 / 41 , c ) 3 / 28 , d ) 3 / 31 , e ) 5 / 32", "output": [ "c" ] }, { "id": "task1421-c35f0c9da1ce44a29db532daed3a1336", "input": "Problem: in the third grade of windblown school there are 102 students , one third of them failed the math test and 1 / 6 failed that literature test . at least how many students failed both tests ? \nOptions: a ) 0 . , b ) 6 . , c ) 8 . , d ) 10 . , e ) 12 .", "output": [ "a" ] }, { "id": "task1421-7ddac016699942c39dedd85ff70727b6", "input": "Problem: in a circuit board factory , all circuit boards that pass a verification process are certified . every board that fails the verification process is indeed faulty , but 1 / 8 of those that pass are also faulty . approximately how many faulty circuit boards exist in a group of 3200 circuit boards where 64 fail inspection ? \nOptions: a ) 72 , b ) 192 , c ) 456 , d ) 256 , e ) 264", "output": [ "c" ] }, { "id": "task1421-5fb3cc25d0034e1c8a5890f3c44f1b8e", "input": "Problem: in the third grade of windblown school there are 78 students , one third of them failed the math test and 1 / 6 failed that literature test . at least how many students failed both tests ? \nOptions: a ) 0 . , b ) 6 . , c ) 8 . , d ) 10 . , e ) 12 .", "output": [ "a" ] }, { "id": "task1421-66542030b07e41919bcc7d89c19b05ae", "input": "Problem: from a container having pure milk , 20 % is replaced by water and the process is repeated thrice . at the end of the third operation , the milk is \nOptions: a ) 40 % pure , b ) 50 % pure , c ) 51.2 % pure , d ) 58.8 % pure , e ) none", "output": [ "c" ] }, { "id": "task1421-7c7339170bb54ed4bc871bb2e116d7d3", "input": "Problem: a can contains a mixture of liquids a and b is the ratio 7 : 5 . when 6 litres of mixture are drawn off and the can is filled with b , the ratio of a and b becomes 7 : 9 . how many liter of liquid a was contained by the can initially ? \nOptions: a ) 12 , b ) 18 , c ) 14 , d ) 20 , e ) 22", "output": [ "c" ] }, { "id": "task1421-e0709b7ecec2457aa466d7194ca0a82b", "input": "Problem: each of the dogs in a certain kennel is a single color . each of the dogs in the kennel either has long fur or does not . of the 45 dogs in the kennel , 26 have long fur , 30 are brown , and 8 are neither long - furred nor brown . how many long - furred dogs are brown ? \nOptions: a ) 26 , b ) 19 , c ) 11 , d ) 8 , e ) 6", "output": [ "b" ] }, { "id": "task1421-e45b94626bd8455c978a0202947ab4b5", "input": "Problem: how many factors of 240 are also multiples of 3 ? \nOptions: a ) 5 , b ) 8 , c ) 9 , d ) 10 , e ) 20", "output": [ "d" ] }, { "id": "task1421-54bafe74243745fc9ec25461f4ac5314", "input": "Problem: a 50 kg metal bar made of alloy of tin and silver lost 5 kg of its weight in the water . 10 kg of tin loses 1.375 kg in the water ; 5 kg of silver loses 0.375 kg . what is the ratio of tin to silver in the bar ? \nOptions: a ) 1 / 4 , b ) 2 / 5 , c ) 1 / 2 , d ) 3 / 5 , e ) 2 / 3", "output": [ "e" ] }, { "id": "task1421-3f8ae46e10504d21bd7f841e7888fae1", "input": "Problem: at a kennel with 80 dogs , 45 of the dogs wear tags and 40 wear flea collars . if 6 of the dogs wear both , then how many of the dogs wear neither a collar nor tags ? \nOptions: a ) 1 , b ) 6 , c ) 34 , d ) 79 , e ) 85", "output": [ "a" ] }, { "id": "task1421-40709fc58bdc40b58bc8b6ecdababcba", "input": "Problem: a certain telephone company offers two plans , a and b . under plan a , the company charges a total of $ 0.60 for the first 5 minutes of each call and $ 0.06 per minute thereafter . under plan b , the company charges $ 0.08 per minute of each call . what is the duration of a call , in minutes , for which the company charges the same amount under plan a and under plan b ? \nOptions: a ) 2 , b ) 9 , c ) 15 , d ) 21 , e ) 30", "output": [ "c" ] }, { "id": "task1421-5c5bb4873a6c4e5fa8b96c7fd5fa8207", "input": "Problem: the l . c . m . of 2 numbers is 66 . the numbers are in the ratio 2 : 3 . find their sum ? \nOptions: a ) 36 , b ) 40 , c ) 48 , d ) 32 , e ) 55", "output": [ "e" ] }, { "id": "task1421-425c1cbf158f43d8885f459020050ebc", "input": "Problem: find the compound ratio of ( 2 : 3 ) , ( 6 : 11 ) and ( 11 : 4 ) is \nOptions: a ) 3 : 2 , b ) 2 : 1 , c ) 1 : 1 , d ) 4 : 5 , e ) 2 : 3", "output": [ "c" ] }, { "id": "task1421-f6007def606d4d37820f5ccb98eaf512", "input": "Problem: in a sports club with 28 members , 17 play badminton and 19 play tennis and 2 do not play either . how many members play both badminton and tennis ? \nOptions: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11", "output": [ "d" ] }, { "id": "task1421-4b2fd4c8132f4e2380cc121cebff61cc", "input": "Problem: compound x contains elements a and b at an approximate ratio , by weight , of 2 : 10 . approximately how many grams of element b are there in 330 grams of compound x ? \nOptions: a ) 54 , b ) 162 , c ) 250 , d ) 275 , e ) 322", "output": [ "d" ] }, { "id": "task1421-12a0cc0d33814c91b4a55a6fff43da02", "input": "Problem: the ratio of 3 numbers is 5 : 1 : 4 and their sum is 1000 . the last number of the 3 numbers is ? \nOptions: a ) 24 , b ) 26 , c ) 27 , d ) 400 , e ) 30", "output": [ "d" ] }, { "id": "task1421-77cff4a09abe4416b7cb0e535bdf878e", "input": "Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 5 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ? \nOptions: a ) 10 : 5 , b ) 15 : 2 , c ) 20 : 2 , d ) 25 : 2 , e ) none of these", "output": [ "d" ] }, { "id": "task1421-1db50a7cd3814952b76a9ff566edbffc", "input": "Problem: the marks obtained by vijay and amith are in the ratio 4 : 4 and those obtained by amith and abhishek in the ratio of 3 : 2 . the marks obtained by vijay and abhishek are in the ratio of ? \nOptions: a ) 3 : 2 , b ) 6 : 1 , c ) 6 : 5 , d ) 6 : 2 , e ) 6 : 3", "output": [ "a" ] }, { "id": "task1421-a0927eff579e4e8c8ee052ce4baaa8dc", "input": "Problem: in a class of 38 children , 19 play tennis , 21 play squash and 10 play neither sport . ( 1 ) how many children play both sports ? \nOptions: a ) 11 , b ) 12 , c ) 14 , d ) 15 , e ) 19", "output": [ "b" ] }, { "id": "task1421-8e2aae4fe5f64e49a58d2d6d9c4ba6b8", "input": "Problem: a certain bag contains 100 balls â € ” 50 white , 30 green , 8 yellow , 9 red , and 3 purple . if a ball is to be chosen at random , what is the probability that the ball will be neither red nor purple ? \nOptions: a ) 0.9 , b ) 0.75 , c ) 0.6 , d ) 0.88 , e ) 0.5", "output": [ "d" ] }, { "id": "task1421-38a3780d504d416ca4dfe63e2dbba55d", "input": "Problem: the simple form of the ratio 7 / 6 : 3 / 2 is ? \nOptions: a ) 5 : 8 , b ) 7 : 9 , c ) 5 : 9 , d ) 5 : 3 , e ) 5 : 1", "output": [ "b" ] }, { "id": "task1421-aa51c4880ea842fb9877622444f519ec", "input": "Problem: if both 5 ^ 2 and 3 ^ 4 are factors of the number a * 4 ^ 3 * 6 ^ 2 * 13 ^ 11 , then what is the smallest possible value of a ? \nOptions: a ) 80 , b ) 120 , c ) 150 , d ) 225 , e ) 300", "output": [ "d" ] }, { "id": "task1421-0afe6900b0ef40b7aea64d5e9f9fecb7", "input": "Problem: praveen starts business with rs . 3920 and after 5 months , hari joins with praveen as his partner . after a year , the profit is divided in the ratio 2 : 3 . what is hari ’ s contribution in the capital ? \nOptions: a ) s . 10080 , b ) s . 8000 , c ) s . 8500 , d ) s . 9000 , e ) s . 6000", "output": [ "a" ] }, { "id": "task1421-779451bd2a6948cd826550039b22bb98", "input": "Problem: the ratio of buses to cars on river road is 1 to 17 . if there are 80 fewer buses than cars on river road , how many cars are on river road ? \nOptions: a ) 40 , b ) 85 , c ) 60 , d ) 30 , e ) 20", "output": [ "b" ] }, { "id": "task1421-366238a329814a8eba9c5d1abd710bf9", "input": "Problem: what is the greatest value of x such that 4 ^ x is a factor of 21 ! ? \nOptions: a ) 5 , b ) 6 , c ) 3 , d ) 2 , e ) 4", "output": [ "b" ] }, { "id": "task1421-010d7c910fe94491a53e222978a5e9cc", "input": "Problem: a certain high school has 500 students . of these students , 40 are taking music , 20 are taking art , and 10 are taking both music and art . how many students are taking neither music nor art ? \nOptions: a ) 430 , b ) 440 , c ) 450 , d ) 460 , e ) 470", "output": [ "c" ] }, { "id": "task1421-91a0ed051fbd4a628c3cb2fa03936170", "input": "Problem: the value of log 343 7 is \nOptions: a ) 1 / 3 , b ) - 3 , c ) - 1 / 3 , d ) 3 , e ) 0.3", "output": [ "a" ] }, { "id": "task1421-60ab9948f2074970a93515df6fc5d593", "input": "Problem: an order was placed for the supply of a carper whose length and breadth were in the ratio of 3 : 2 . subsequently , the dimensions of the carpet were altered such that its length and breadth were in the ratio 7 : 3 but were was no change in its parameter . find the ratio of the areas of the carpets in both the cases ? \nOptions: a ) 8 : 6 , b ) 8 : 7 , c ) 8 : 9 , d ) 8 : 4 , e ) 8 : 1", "output": [ "b" ] }, { "id": "task1421-6f256cf613ae4d538bfb8974d4d8292c", "input": "Problem: the ratio of 2 numbers is 3 : 7 and their h . c . f . is 12 . their l . c . m . is ? \nOptions: a ) 20 , b ) 24 , c ) 252 , d ) 136 , e ) 160", "output": [ "c" ] }, { "id": "task1421-d29ec81971014cde9958ced68885e79a", "input": "Problem: 150 college students were asked in a survey if they preferred windows or mac brand computers . 40 students claimed that they preferred mac to windows brand computers . one third as many of the students who preferred mac to windows , equally preferred both brands . 40 of the students had no preference . how many of the students in the survey preferred windows to mac brand computers ? \nOptions: a ) 25 , b ) 40 , c ) 70 , d ) 60 , e ) 75", "output": [ "c" ] }, { "id": "task1421-0eacf85ca54c4dc49a30ebf7e1e598c8", "input": "Problem: in a company 10 % of male staff are same in number as 1 / 4 th of the female staff . what is the ratio of male staff to female staff \nOptions: a ) 3 : 2 , b ) 5 : 2 , c ) 2 : 1 , d ) 4 : 3 , e ) 1 : 2", "output": [ "b" ] }, { "id": "task1421-1c42afa4df7b4a13a07c0e884807a122", "input": "Problem: if x and y are both odd prime numbers and x < y , how many distinct positive integer q factors does 2 xy have ? \nOptions: a ) 3 , b ) 4 , c ) 6 , d ) 8 , e ) 12", "output": [ "d" ] }, { "id": "task1421-1bce3fad75d44bdd8bb1ba959a358600", "input": "Problem: the simple form of the ratio 4 / 3 : 4 / 5 is ? \nOptions: a ) 10 : 6 , b ) 10 : 3 , c ) 15 : 3 , d ) 5 : 3 , e ) 30 : 3", "output": [ "d" ] }, { "id": "task1421-7e63bc944b7f4bb88b37f1b103e023e8", "input": "Problem: two numbers are in the ratio of 1 : 2 . if 9 be added to both , their ratio changes to 3 : 5 . the greater number is \nOptions: a ) 20 , b ) 24 , c ) 28 , d ) 32 , e ) 36", "output": [ "e" ] }, { "id": "task1421-f5947cb5c8a948fa8d2d91006ebc6c0c", "input": "Problem: the school soccer team looks at their record and finds that they win , lose , and tie games in a ratio of 4 : 3 : 1 . how many games did they play if they lost 9 games ? \nOptions: a ) 3 , b ) 9 , c ) 12 , d ) 18 , e ) 24", "output": [ "e" ] }, { "id": "task1421-2767f534ac4c4a909c53ef56522e5244", "input": "Problem: in the biotechnology class of 2000 , there were x graduates . 32 of the graduates found a job , 45 continued on to their second degree and 13 did both . if only 9 people did n ' t do both , what is x equal to ? \nOptions: a ) 69 . , b ) 71 , c ) 73 , d ) 75 , e ) 76", "output": [ "c" ] }, { "id": "task1421-0b777ccb234f4df592a38c2d0c32b1dc", "input": "Problem: what is the greatest positive integer t such that 3 ^ t is a factor of 9 ^ 10 ? \nOptions: a ) 5 , b ) t = 9 , c ) t = 10 , d ) t = 20 , e ) 30", "output": [ "d" ] }, { "id": "task1421-d733c87237c64d43aeb6d1efe6d8cae2", "input": "Problem: if ramola ranks 14 th in a class of 26 , what is her rank from the last ? \nOptions: a ) 11 th , b ) 13 th , c ) 12 th , d ) 14 th , e ) 15 th", "output": [ "b" ] }, { "id": "task1421-498c93f89db0434bbda72d88ea331083", "input": "Problem: in a class of 37 students 26 play football and play 20 long tennis , if 17 play above , many play neither ? \nOptions: a ) 6 , b ) 8 , c ) 10 , d ) 12 , e ) 14", "output": [ "b" ] }, { "id": "task1421-8bc63c3766374813b329c3e35d1def11", "input": "Problem: a salesman sold twice as much pears in the afternoon than in the morning . if he sold $ 450 kilograms of pears that day , how many kilograms did he sell in the afternoon ? \nOptions: a ) 120 , b ) 180 , c ) 300 , d ) 280 , e ) 320", "output": [ "c" ] }, { "id": "task1421-065ce5780e914325b2fc61c67ef66e91", "input": "Problem: two vessels contains equal number of mixtures milk and water in the ratio 4 : 2 and 5 : 1 . both the mixtures are now mixed thoroughly . find the ratio of milk to water in the new mixture so obtained ? \nOptions: a ) 3 : 1 , b ) 9 : 13 , c ) 5 : 11 , d ) 11 : 3 , e ) 15 : 4", "output": [ "a" ] }, { "id": "task1421-50b057a3a6eb48fe8e9d33298336788e", "input": "Problem: the ratio of money with ram and gopal is 7 : 17 and that with gopal and krishan is 7 : 17 . if ram has rs . 588 , krishan has ? \nOptions: a ) s . 2890 , b ) s . 2330 , c ) s . 1190 , d ) s . 3468 , e ) s . 2680", "output": [ "d" ] }, { "id": "task1421-440a2e640caa4906a77412234670461d", "input": "Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 6 : 9 , find the age of sachin \nOptions: a ) 24.5 , b ) 14 , c ) 24.21 , d ) 27 , e ) 25", "output": [ "b" ] }, { "id": "task1421-97a631ea46b2459b8102ce7ad67f17fc", "input": "Problem: the ratio between the sale price and the cost price of an article is 10 : 7 . what is the ratio between the profit and the cost price of that article ? \nOptions: a ) 2 : 9 , b ) 2 : 5 , c ) 3 : 7 , d ) 2 : 0 , e ) 2 : 1", "output": [ "c" ] }, { "id": "task1421-6b88f92b71ad4e308145cc7dd9b7025a", "input": "Problem: income and expenditure of a person are in the ratio 8 : 7 . if the income of the person is rs . 40000 , then find his savings ? \nOptions: a ) 5000 , b ) 6000 , c ) 7000 , d ) 8000 , e ) 9000", "output": [ "a" ] }, { "id": "task1421-8a385fefa8bf4c6aa132ced6c64fc2fc", "input": "Problem: the ratio between the number of sheep and the number of horses at the stewart farm is 4 to 7 , if each horse is fed 230 ounces of horse food per day and the farm needs a total 12,880 ounces of horse food per day , what is the number of sheep in the farm ? \nOptions: a ) 18 , b ) 28 , c ) 32 , d ) 56 , e ) 60", "output": [ "c" ] }, { "id": "task1421-fd011ada8179448d96389094bec87608", "input": "Problem: a certain university will select 1 of 4 candidates eligible to fill a position in the mathematics department and 2 of 7 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ? \nOptions: a ) 81 , b ) 82 , c ) 84 , d ) 86 , e ) 88", "output": [ "c" ] }, { "id": "task1421-7cf3512e587f44fc9296da6fd874267f", "input": "Problem: there are two positive numbers in the ratio 5 : 8 . if the larger number exceeds the smaller by 27 , then find the smaller number ? \nOptions: a ) 25 , b ) 66 , c ) 45 , d ) 88 , e ) 44", "output": [ "c" ] }, { "id": "task1421-55021e8522e447c6ae047d039cbe4c2c", "input": "Problem: if log 0.317 = 0.3332 and log 0.318 = 0.3364 , then find log 0.319 \nOptions: a ) 0.3396 , b ) 0.3496 , c ) 0.3596 , d ) 0.3696 , e ) 0.3796", "output": [ "a" ] }, { "id": "task1421-59f44c7b7d794d12b66fae257e2b37e9", "input": "Problem: ratio of girl and boys in class is 5 : 6 . if 20 girl leave the class and ratio become 2 : 3 . calculate the no . of boys ? \nOptions: a ) 100 , b ) 120 , c ) 80 , d ) 90 , e ) none of the above", "output": [ "b" ] }, { "id": "task1421-fc9d8c06eade43d6be68df5eca19879d", "input": "Problem: how many consecutive zeros are there at the end of 100 ! ( 100 factorial ) ? \nOptions: a ) 21 , b ) 22 , c ) 23 , d ) 24 , e ) 25", "output": [ "d" ] }, { "id": "task1421-0483d25623674c77901fdf95de021d52", "input": "Problem: solution a is 20 % salt and solution b is 70 % salt . if you have 30 ounces of solution a and 60 ounces of solution b , in what ratio could you mix solution a with solution b to produce 50 ounces of a 50 % salt solution ? \nOptions: a ) 6 : 4 , b ) 6 : 14 , c ) 2 : 3 , d ) 4 : 6 , e ) 3 : 7", "output": [ "c" ] }, { "id": "task1421-22a50e43c4814a6db7a7aa80d1e9731c", "input": "Problem: the probability of two events a and b are 0.15 and 0.40 respectively . the probability that both a and b occur is 0.15 . the probability that neither a nor b occur is _________ \nOptions: a ) 0.45 , b ) 0.4 , c ) 0.5 , d ) 0.05 , e ) 0.6", "output": [ "e" ] }, { "id": "task1421-8e13d8e1d5bf42f19020ea32a468dea0", "input": "Problem: income and expenditure of a person are in the ratio 9 : 8 . if the income of the person is rs . 18000 , then find his savings ? \nOptions: a ) rs . 3600 , b ) rs . 3603 , c ) rs . 2000 , d ) rs . 3632 , e ) rs . 3602", "output": [ "c" ] }, { "id": "task1421-d59f82c524af4df0a8b121b47f6919e8", "input": "Problem: find the probability in a group of 10 students sitting in a row , two of them always sit next to each other \nOptions: a ) 0.5 , b ) 0.4 , c ) 0.3 , d ) 0.2 , e ) 0.1", "output": [ "d" ] }, { "id": "task1421-c384f9ec01c148439cc435e729d8d010", "input": "Problem: if 65 percent of a class answered the first question on a certain test correctly , 55 percent answered the second question on the test correctly , and 20 percent answered neither of the questions correctly , what percent answered both correctly ? \nOptions: a ) 45 % , b ) 40 % , c ) 35 % , d ) 30 % , e ) 25 %", "output": [ "b" ] }, { "id": "task1421-be927ce286834330989cc19707bda7b7", "input": "Problem: in what ratio should a variety of rice costing rs . 5 per kg be mixed with another variety of rice costing rs . 8.75 per kg to obtain a mixture costing rs . 7.50 per kg ? \nOptions: a ) 1 / 2 , b ) 5 / 9 , c ) 5 / 1 , d ) 5 / 3 , e ) 7 / 6", "output": [ "a" ] }, { "id": "task1421-f1f8b837254649f784d4ec0efccd9dcf", "input": "Problem: in a class , 30 students pass in english and 20 students in maths , while some students among these pass in both . how many students do only english as compared to those doing only maths ? \nOptions: a ) 10 , b ) 15 , c ) 4 , d ) 12 , e ) indeterminate", "output": [ "e" ] }, { "id": "task1421-b6ade263b2c94caca79d702cebc684db", "input": "Problem: in what ratio should a variety of rice costing rs . 7 per kg be mixed with another variety of rice costing rs . 14.50 per kg to obtain a mixture costing rs . 9.75 per kg ? \nOptions: a ) 19 : 10 , b ) 19 : 11 , c ) 11 : 19 , d ) 12 : 18 , e ) 11 : 20", "output": [ "b" ] }, { "id": "task1421-9e2713295a764b4cbccd0185a45e84f8", "input": "Problem: the l . c . m . of 2 numbers is 30 . the numbers are in the ratio 2 : 3 . find their sum ? \nOptions: a ) 36 , b ) 25 , c ) 48 , d ) 32 , e ) 56", "output": [ "b" ] }, { "id": "task1421-ef4d04b14453493eaecc2bd545810257", "input": "Problem: a and b have monthly incomes in the ratio 5 : 6 and monthly expenditures in the ratio 3 : 4 . if they save rs . 1800 and rs . 1600 respectively , find the monthly income of b \nOptions: a ) rs . 3400 , b ) rs . 2700 , c ) rs . 1720 , d ) rs . 7200 , e ) rs . 8200", "output": [ "d" ] }, { "id": "task1421-16e85155da0a4329a7dae0ce57e8e586", "input": "Problem: the ratio of the number of red cars in a certain parking lot to the number of black cars is 3 to 8 . if there are 70 black cars in the lot , how many red cars are there in the lot ? \nOptions: a ) 11 , b ) 26 , c ) 24 , d ) 27 , e ) 32", "output": [ "b" ] }, { "id": "task1421-9ca101c7240f4307a85c0e9bfe7192c9", "input": "Problem: the ratio between the sale price and the cost price of an article is 6 : 5 . what is the ratio between the profit and the cost price of that article ? \nOptions: a ) 2 : 9 , b ) 1 : 5 , c ) 3 : 6 , d ) 2 : 0 , e ) 2 : 1", "output": [ "b" ] }, { "id": "task1421-9765739fa9ea457bb6edf318beb8fdf9", "input": "Problem: solution a is 40 % salt and solution b is 80 % salt . if you have 30 ounces of solution a and 60 ounces of solution b , in what ratio could you mix solution a with solution b to produce 50 ounces of a 50 % salt solution ? \nOptions: a ) 6 : 4 , b ) 6 : 14 , c ) 4 : 4 , d ) 4 : 6 , e ) 3 : 1", "output": [ "e" ] }, { "id": "task1421-2bc7030db0db46489f6b07965c9be372", "input": "Problem: two brother x and y appeared for an exam . let a be the event that x is selected and b is the event that y is selected . the probability of a is 17 and that of b is 29 . find the probability that both of them are selected . \nOptions: a ) 2 / 63 , b ) 2 / 67 , c ) 2 , d ) 3 / 31 , e ) 4", "output": [ "a" ] }, { "id": "task1421-f2f5f7fcb3e74f39a1d4ec4d6b998e43", "input": "Problem: three numbers are in the ratio 3 : 4 : 5 and their l . c . m . is 240 . their h . c . f is ? \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6", "output": [ "c" ] }, { "id": "task1421-da80a6af9ffc4ca2874ee2d72eb41e57", "input": "Problem: the flowerman sale , all of the prices of the flowers sold were different . if the price of a radio sold at the flowerman sale was both the 17 th highest price and the 42 th lowest price among the prices of the slowers sold , how many flowers were sold at the flowerman sale ? \nOptions: a ) 38 , b ) 34 , c ) 58 , d ) 63 , e ) 73", "output": [ "c" ] }, { "id": "task1421-bf2bba9c1b184634b01dc1df94031e23", "input": "Problem: nitin ranks 12 th in a class of 56 students . what is rank from the last ? \nOptions: a ) 33 , b ) 38 , c ) 45 , d ) 28 , e ) 19", "output": [ "c" ] }, { "id": "task1421-0e84ed427f2846d6884a8337329925ab", "input": "Problem: nitin ranks 18 th in a class of 49 students . what is rank from the last ? \nOptions: a ) 33 , b ) 38 , c ) 32 , d ) 28 , e ) 19", "output": [ "c" ] }, { "id": "task1421-f09d0e19da3c4cca8d33c690823accd6", "input": "Problem: 6 ) a marketing firm determined that , of 260 households surveyed , 80 used neither brand a nor brand b soap . 60 used only brand a soap and for every household that used both brands of soap , 3 used only brand b soap . how many of the 200 household surveyed used both brands of soap ? \nOptions: a ) a ) 15 , b ) b ) 20 , c ) c ) 30 , d ) d ) 40 , e ) e ) 45", "output": [ "c" ] }, { "id": "task1421-742b872eff0443648c3107b43c348f50", "input": "Problem: each of the dogs in a certain kennel is a single color . each of the dogs in the kennel either has long fur or does not . of the 45 dogs in the kennel , 28 have long fur , 17 are brown , and 8 are neither long - furred nor brown . how many long - furred dogs are brown ? \nOptions: a ) 26 , b ) 19 , c ) 11 , d ) 8 , e ) 6", "output": [ "d" ] }, { "id": "task1421-274dad1e9fe34a969bdbb8cc0e3b14aa", "input": "Problem: if w is the set of all the integers between 29 and 99 , inclusive , that are either multiples of 3 or multiples of 2 or multiples of both , then w contains how many numbers ? \nOptions: a ) 26 , b ) 32 , c ) 33 , d ) 34 , e ) 47", "output": [ "e" ] }, { "id": "task1421-e822df8b14f04aae8fc3242ed7bada75", "input": "Problem: an amount of money is to be distributed among faruk , vasim and ranjith in the ratio 3 : 3 : 7 . if vasims share is rs . 1500 , what is the difference between faruk ' s and ranjith ' s shares ? \nOptions: a ) s 1200 , b ) s 1500 , c ) s 1600 , d ) s 2000 , e ) s 1700", "output": [ "d" ] }, { "id": "task1421-5b4cc2a0b6b845129c3e90436fc23a35", "input": "Problem: a certain quantity of 80 % solution is replaced with 25 % solution such that the new concentration is 35 % . what is the fraction of the solution that was replaced ? \nOptions: a ) 1 / 4 , b ) 1 / 3 , c ) 1 / 2 , d ) 2 / 3 , e ) 9 / 11", "output": [ "e" ] }, { "id": "task1421-85843446ceb3415fb1a209f3dcdf83c4", "input": "Problem: in a club with 310 peopl , 138 play tennis , 255 play baseball , and 94 people play both sports . how many people do not pla a sport ? \nOptions: ['a ) 9', 'b ) 8', 'c ) 4', 'd ) 10', 'e ) 11']", "output": [ "e" ] }, { "id": "task1421-a054e16eccbd4b7bb17a103c1de35f12", "input": "Problem: in a class , 30 students pass in english and 20 students in math , while some students among these pass in both . how many more students do only english as compared to those doing only maths ? \nOptions: a ) 10 , b ) 15 , c ) 20 , d ) 25 , e ) indeterminate", "output": [ "a" ] }, { "id": "task1421-fea4287f3c8b48b08b31843ab52516e8", "input": "Problem: on multiplying a number f by 153 , the result obtained was 102325 . however , it is found that both the 2 ' s are wrong . find the correct result . \nOptions: a ) 104345 , b ) 107375 , c ) 108385 , d ) 109395 , e ) 105355", "output": [ "d" ] }, { "id": "task1421-c9a4fbebe21f4b159936e4b98a2b91c5", "input": "Problem: in a certain large company , the ratio of college graduates with a graduate degree to non - college graduates is 1 : 8 , and ratio of college graduates without a graduate degree to non - college graduates is 2 : 3 . if one picks a random college graduate at this large company , what is the probability e this college graduate has a graduate degree ? \nOptions: a ) 1 / 11 , b ) 1 / 12 , c ) 1 / 13 , d ) 3 / 19 , e ) 3 / 43", "output": [ "d" ] }, { "id": "task1421-849cfd38671c403c92fdd6bfc1ad7e44", "input": "Problem: if 0.8 of a number is equal to 0.09 of another number , the ratio of the numbers i \nOptions: a ) 2 : 3 , b ) 3 : 4 , c ) 9 : 80 , d ) 20 : 3 , e ) none", "output": [ "c" ] }, { "id": "task1421-6653e6f6a6884efa875603b648cd083f", "input": "Problem: if the ratio of two number is 4 : 6 and lcm of the number is 280 then what is the number . \nOptions: a ) 12 , b ) 20 , c ) 25 , d ) 30 , e ) 35", "output": [ "a" ] }, { "id": "task1421-e4258bc702ba4c09aef5caa5904e8d2b", "input": "Problem: how many different positive integers are factors of 64 ? \nOptions: a ) 10 , b ) 12 , c ) 14 , d ) 16 , e ) 18", "output": [ "d" ] }, { "id": "task1421-1c2ec2b40a4a4c00bd157d13aac099c9", "input": "Problem: at present the ratio between the ages of arun and deepak is 4 : 3 . after 6 years , arun ' s age will be 26 years . what is the age of deepak at present ? \nOptions: a ) 15 , b ) 21 , c ) 23 , d ) 12 , e ) 25", "output": [ "a" ] }, { "id": "task1421-d36a83c52c224132ba3c21dfe7c5c69b", "input": "Problem: in a certain pet shop , the ratio of dogs to cats to bunnies in stock is 3 : 7 : 13 . if the shop carries 352 dogs and bunnies total in stock , how many dogs are there ? \nOptions: a ) 42 , b ) 66 , c ) 98 , d ) 112 , e ) 154", "output": [ "b" ] }, { "id": "task1421-5841cfd296c949b1be927c85ff92c8b8", "input": "Problem: a bag holds 4 red marbles and 4 green marbles . if you removed two randomly selected marbles from the bag , without replacement , what is the probability that both would be red ? \nOptions: a ) 1 / 7 , b ) 1 / 5 , c ) 3 / 14 , d ) 2 / 7 , e ) 1 / 2", "output": [ "c" ] }, { "id": "task1421-94256274a83c406c9bd1c6562a2097cf", "input": "Problem: among 600 students , 56 % study sociology , 44 % study mathematics and 40 % study biology . if 30 % of students study both mathematics and sociology , what is the largest possible number of students who study biology but do not study either mathematics or sociology ? \nOptions: a ) 30 , b ) 90 , c ) 120 , d ) 172 , e ) 180", "output": [ "e" ] }, { "id": "task1421-6b544a13d47143f99ecbd0bb0b6ea5af", "input": "Problem: sandy is younger than molly by 8 years . if their ages are in the respective ratio of 7 : 9 , how old is molly ? \nOptions: a ) 18 , b ) 27 , c ) 36 , d ) 45 , e ) 54", "output": [ "c" ] }, { "id": "task1421-68ed7c8ec6c741868a1a3e058c082a8e", "input": "Problem: in a certain alphabet , 10 letters contain a dot and a straight line . 24 letters contain a straight line but do not contain a dot . if that alphabet has 40 letters , all of which contain either a dot or a straight line or both , how many letters contain a dot but do not contain a straight line ? \nOptions: a ) 6 , b ) 8 , c ) 14 , d ) 20 , e ) 28", "output": [ "a" ] }, { "id": "task1421-3ea6c9a2c12341fbacd22a4d4a46bc33", "input": "Problem: if 0.4 of a number is equal to 0.06 of another number , the ratio of the numbers i \nOptions: a ) 2 : 3 , b ) 3 : 4 , c ) 3 : 20 , d ) 20 : 3 , e ) none", "output": [ "c" ] }, { "id": "task1421-84f8450e3a164f52b46af4454482f59e", "input": "Problem: the l . c . m . of 2 numbers is 72 . the numbers are in the ratio 2 : 3 . find their sum ? \nOptions: a ) 36 , b ) 40 , c ) 48 , d ) 60 , e ) 56", "output": [ "d" ] }, { "id": "task1421-5c325299c2594e3b80ab3a96ddde5f35", "input": "Problem: 24 oz of juice p and 25 oz of juice v are mixed to make smothies a and y . the ratio of p to v in smothie a is 4 is to 1 and that in y is 1 is to 5 . how many ounces of juice p are contained in the smothie a ? \nOptions: a ) 5 , b ) 10 , c ) 15 , d ) 20 , e ) 25", "output": [ "d" ] }, { "id": "task1421-efbb660d6ec54c3c87ee2f6f89a57bf5", "input": "Problem: x starts a business with rs . 45000 . y joins in the business after 3 months with rs . 45000 . what will be the ratio in which they should share the profit at the end of the year ? \nOptions: a ) 1 : 2 , b ) 2 : 1 , c ) 3 : 2 , d ) 2 : 3 , e ) 4 : 3", "output": [ "e" ] }, { "id": "task1421-b701392af8ec455da38a4856514f11c1", "input": "Problem: out of 420 students of a school , 325 play football , 175 play cricket and 50 neither play football nor cricket . how many students play both football and cricket ? \nOptions: a ) 120 , b ) 150 , c ) 130 , d ) 180 , e ) 220", "output": [ "c" ] }, { "id": "task1421-7f9e3e1342854a56bbe965d269450e6b", "input": "Problem: in a group of 10 doctors , 3 doctors are only pediatricians ; the others are surgeons or general practitioners - but not both . a team of 3 doctors is to be chosen which must have at least 1 pediatrician , how many different teams can be chosen ? \nOptions: a ) 85 , b ) 140 , c ) 60 , d ) 80 , e ) 75", "output": [ "a" ] }, { "id": "task1421-c649edab9ba34eebb848ed96bfb274e5", "input": "Problem: all numbers from 1 to 200 ( in decimal system ) are written in base 6 and base 7 systems . how many of the numbers will have a non - zero units digit in both base 6 and base 7 notations ? \nOptions: ['a ) 143', 'b ) 200', 'c ) 157', 'd ) 122', 'e ) 132']", "output": [ "a" ] }, { "id": "task1421-88117ec4a55c49e38d8ffbae434c56c0", "input": "Problem: the ratio of two numbers is 5 : 9 . if each number is decreased by 5 , the ratio becomes 5 : 11 . find the numbers . \nOptions: a ) 30 , 19 , b ) 21 , 37 , c ) 15 , 34 , d ) 15 , 27 , e ) none of these", "output": [ "d" ] }, { "id": "task1421-dbe11d99cdd74b47a6f158dad94bc522", "input": "Problem: how many odd factors does 460 have ? \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 8", "output": [ "b" ] }, { "id": "task1421-7b79e05c8b064511a2b0de6e830e5d2d", "input": "Problem: divide $ 1162 among a , b , c in the ratio 35 : 28 : 20 . \nOptions: a ) 490 , 490,490 , b ) 360 , 392,460 , c ) 490 , 392,280 , d ) 260 , 160,60 , e ) 492 , 390,280", "output": [ "c" ] }, { "id": "task1421-2ec19d6cdc4d4aa8b8972296ac236f42", "input": "Problem: the ratio of flour to water to sugar in a recipe is 7 : 2 : 1 . the ratio in a new recipe calls for a doubling of the ratio of flour to water from the original recipe and a halving of the ratio of flour to sugar . if the new recipe calls for 2 cups of water , how much sugar is required ? \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6", "output": [ "c" ] }, { "id": "task1421-599f01ea9d6844758fb29f1d88768036", "input": "Problem: 27 is a perfect cube . when x is perfect cube which is added to the prime factor of 27 , the result is not a prime number . what is the square root of x ? \nOptions: ['a ) 2', 'b ) 4', 'c ) 6', 'd ) 8', 'e ) 10']", "output": [ "c" ] }, { "id": "task1421-70455760e5734a3fa2c9f110a1cd2bdb", "input": "Problem: the value of log 2 16 is \nOptions: a ) 1 / 8 , b ) 4 , c ) 8 , d ) 16 , e ) 17", "output": [ "b" ] }, { "id": "task1421-b77a9c0a1984402c82a5d6d3b19622fb", "input": "Problem: in a class , 7 students like to play basketball and 8 like to play cricket . 3 students like to play on both basketball and cricket . how many students like to play basketball or cricket or both ? \nOptions: a ) 12 , b ) 15 , c ) 16 , d ) 18 , e ) 22", "output": [ "a" ] }, { "id": "task1421-fa0147433a60470691adaa1ca42b034a", "input": "Problem: 9 log 9 ( 2 ) = ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "b" ] }, { "id": "task1421-d2ff489c388543a39cfca0bf1033f99c", "input": "Problem: 100 people are attending a newspaper conference . 45 of them are writers and more than 36 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ? \nOptions: a ) 26 , b ) 24 , c ) 18 , d ) 20 , e ) 22", "output": [ "c" ] }, { "id": "task1421-992a100e749d4c9d9d4ec51230fde073", "input": "Problem: a jar contains a mixture of ab in the ratio 4 : 1 . when 40 l of mixture is replaced with liquid b , ratio becomes 2 : 3 . how many liters of liquid a was present in mixture initially . \nOptions: a ) 12 , b ) 15 , c ) 16 , d ) 64 , e ) 25", "output": [ "d" ] }, { "id": "task1421-6eb720219b46457ea8bcbce0f85907e5", "input": "Problem: how many factors of 30 are odd numbers greater than 1 ? \nOptions: a ) 3 , b ) 3 , c ) 5 , d ) 6 , e ) 7", "output": [ "b" ] }, { "id": "task1421-2e8fbeabef1e4ad58fe3f6b6c70e3ce0", "input": "Problem: the number of sailors on a ship is 78 % more than the number of officers . the ratio of sailors to officers would be \nOptions: a ) 33 : 25 , b ) 47 : 20 , c ) 47 : 25 , d ) 89 : 50 , e ) 97 : 50", "output": [ "d" ] }, { "id": "task1421-3c8c51d67311488e9c762193e8fc1e4e", "input": "Problem: what is the square root of 16 ? \nOptions: a ) 8 , b ) 4 , c ) 35 , d ) 42 , e ) 86", "output": [ "b" ] }, { "id": "task1421-71a35d1b91214774a438c74fa110cede", "input": "Problem: initially , the men and women in a room were in the ratio of 4 : 5 . then , 2 men entered the room and 3 women left the room . then , the number of women doubled . now there are 14 men in the room . how many e women are currently in the room ? \nOptions: a ) 12 , b ) 14 , c ) 15 , d ) 24 , e ) 36", "output": [ "d" ] }, { "id": "task1421-83df2bd05c9c4fd39f9e20f59ed126ea", "input": "Problem: at a certain zoo , the ratio of lions to penguins is 3 to 11 . if there are 82 more penguins than lions at the zoo , how many lions are there ? \nOptions: a ) 24 , b ) 30 , c ) 48 , d ) 72 , e ) 132", "output": [ "b" ] }, { "id": "task1421-e108dc730a1f4b0183b5f74ec05d7294", "input": "Problem: 9 log 9 ( 5 ) = ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 5 , e ) 8", "output": [ "d" ] }, { "id": "task1421-2793f5b29ff845d9b0a5feb11c10d642", "input": "Problem: in a certain town , the ratio of ny yankees fans to ny mets fans is 3 : 2 , and the ratio of ny mets fans to boston red sox fans is 4 : 5 . if there are 330 baseball fans in the town , each of whom is a fan of exactly one of those three teams , how many ny mets fans are there in this town ? \nOptions: a ) 72 , b ) 88 , c ) 95 , d ) 120 , e ) 135", "output": [ "b" ] }, { "id": "task1421-3a6bcd1324b0460aa7757db92fe940be", "input": "Problem: x starts a business with rs . 45000 . y joins in the business after 2 months with rs . 30000 . what will be the ratio in which they should share the profit at the end of the year ? \nOptions: a ) 1 : 2 , b ) 9 : 5 , c ) 1 : 5 , d ) 3 : 1 , e ) 1 : 1", "output": [ "b" ] }, { "id": "task1421-f745d629910343268f298968954e1c3b", "input": "Problem: hree number are in the ratio of 3 : 4 : 5 and their l . c . m . is 2400 . their h . c . f . is : \nOptions: a ) 40 , b ) 50 , c ) 60 , d ) 70 , e ) 80", "output": [ "a" ] }, { "id": "task1421-8d2311890b68465ea0a2c694b454713f", "input": "Problem: in a group of 250 readers who read science fiction or literacy works or both , 180 read science fiction and 88 read literacy works . how many read both science fiction and literacy works ? \nOptions: a ) 268 , b ) 180 , c ) 150 , d ) 18 , e ) 88", "output": [ "d" ] }, { "id": "task1421-f37039ca9b1b49fdbd6e4ce431e77437", "input": "Problem: find the number of different prime factors of 1250 \nOptions: a ) 4 , b ) 2 , c ) 3 , d ) 5 , e ) 6", "output": [ "b" ] }, { "id": "task1421-49da380ff3384c79bb652bf6f4f2701d", "input": "Problem: the l . c . m of two numbers is 48 . the numbers are in the ratio 8 : 3 . the sum of numbers is : \nOptions: a ) 22 , b ) 30 , c ) 40 , d ) 50 , e ) 60", "output": [ "a" ] }, { "id": "task1421-2c25dc7a61df4f30beb961f13d3ff12b", "input": "Problem: the ratio of the arithmetic mean of two numbers to one of the numbers is 5 : 8 . what is the ratio of the smaller number to the larger number ? \nOptions: a ) 1 : 8 , b ) 1 : 6 , c ) 1 : 5 , d ) 1 : 4 , e ) 1 : 3", "output": [ "d" ] }, { "id": "task1421-efd45783e4da4bf8a35017861d24d5fb", "input": "Problem: irin , ingrid and nell bake chocolate chip cookies in the ratio of 9.18 : 5.17 : 2.05 . if altogether they baked a batch of 150 cookies , what percent of the cookies did nell bake ? \nOptions: a ) 0.125 % , b ) 1.25 % , c ) 12.6 % , d ) 125 % , e ) 0.152 %", "output": [ "c" ] }, { "id": "task1421-957b11f376d34cf4ad3f13e847833d84", "input": "Problem: the triplicate ratio of 1 : 9 is ? \nOptions: a ) 1 : 0 , b ) 1 : 8 , c ) 1 : 7 , d ) 1 : 2 , e ) 1 : 729", "output": [ "e" ] }, { "id": "task1421-6f69379977aa4dbaa084cb7757d83300", "input": "Problem: at a certain restaurant , the ratio of the number of cooks to the number of waiters is 3 to 10 . when 12 more waiters are hired , the ratio of the number of cooks to the number of waiters changes to 3 to 13 . how many cooks does the restaurant have ? \nOptions: a ) 4 , b ) 6 , c ) 9 , d ) 12 , e ) 15", "output": [ "d" ] }, { "id": "task1421-da1c4539897442ac9212f033e8bfded8", "input": "Problem: p starts a business with rs . 4000 . after 4 months , q joins with p as his partner . after a year , the profit is divided in the ratio 2 : 3 . q ' s contribution in the capital is ? \nOptions: a ) rs . 7000 , b ) rs . 11000 , c ) rs . 8000 , d ) rs . 10000 , e ) rs . 9000", "output": [ "e" ] }, { "id": "task1421-a440ff3832eb49b8bac6c78d373aeadd", "input": "Problem: find the highest common factor of 36 and 84 . \nOptions: a ) 12 , b ) 10 , c ) 16 , d ) 19 , e ) 18", "output": [ "a" ] }, { "id": "task1421-cc2be1ef7e774ae98436319ec62e1dc2", "input": "Problem: how many even integers from 1 to 200 ( both inclusive ) have even number of factors ? \nOptions: a ) 13 , b ) 14 , c ) 5 , d ) 6 , e ) 7", "output": [ "e" ] }, { "id": "task1421-44cf044a1a3549ddafc418d9e8b9fc55", "input": "Problem: sachin is younger than rahul by 14 years . if the ratio of their ages is 7 : 9 , find the age of sachin \nOptions: a ) 48 , b ) 24.8 , c ) 24.21 , d ) 24.88 , e ) 49", "output": [ "e" ] }, { "id": "task1421-8ceeb5d39d2447d1a4083c3204224567", "input": "Problem: in the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30 . in the ` ` sport ' ' formulation , the ratio of flavoring to corn syrup is three times as great as in the standard formulation , and the ratio of flavoring to water is half that of the standard formulation . if a large bottle of the ` ` sport ' ' formulation contains 3 ounces of corn syrup , how many ounces of water does it contain ? \nOptions: ['a ) 45', 'b ) 50', 'c ) 55', 'd ) 60', 'e ) 63']", "output": [ "a" ] }, { "id": "task1421-f333c12122744913a1fce1a285adae68", "input": "Problem: there are 640 students in a school . the ratio of boys and girls in this school is 3 : 5 . find the total of girls & boys are there in this school ? \nOptions: a ) 320 , b ) 345 , c ) 375 , d ) 380 , e ) 400", "output": [ "e" ] }, { "id": "task1421-696ced93445045bc899ea8d20c42f289", "input": "Problem: what is the greatest positive integer n such that 3 ^ n is a factor of 36 ^ 100 ? \nOptions: a ) 100 , b ) 200 , c ) 300 , d ) 600 , e ) 900", "output": [ "b" ] }, { "id": "task1421-ef73d95cf8e042cdb73413e81bc6fb58", "input": "Problem: ratio between rahul and deepak is 4 : 3 , after 6 years rahul age will be 26 years . what is deepak present age . \nOptions: a ) 14 , b ) 15 , c ) 20 , d ) 22 , e ) 24", "output": [ "b" ] }, { "id": "task1421-c7637837c46346279031f5e8509856c1", "input": "Problem: of the 75 house in a development , 50 have a two - car garage , 40 have an in - the - ground swimming pool , and 35 have both a two - car garage and an in - the - ground swimming pool . how many houses in the development have neither a two - car garage nor an in - the - ground swimming pool ? \nOptions: a ) 10 , b ) 15 , c ) 20 , d ) 25 , e ) 30", "output": [ "c" ] }, { "id": "task1421-a47f3e6dda3d415987205034095af192", "input": "Problem: the ratio of spinsters to cats is 2 to 9 . if there are 63 more cats than spinsters , how many spinsters are there ? \nOptions: a ) 10 , b ) 12 , c ) 14 , d ) 16 , e ) 18", "output": [ "e" ] }, { "id": "task1421-600506522c5e412381b4829ec131b50a", "input": "Problem: the ratio , by volume , of bleach to detergent to water in a certain solution is 2 : 40 : 100 . the solution will be altered so that the ratio of bleach to detergent is tripled while the ratio of detergent to water is halved . if the altered solution will contain 200 liters of water , how many liters of detergent will it contain ? \nOptions: a ) 60 , b ) 55 , c ) 50 , d ) 45 , e ) 40", "output": [ "e" ] }, { "id": "task1421-ccae2ea2b744493e884e1f350c86c79b", "input": "Problem: in a certain town , the ratio of ny yankees fans to ny mets fans is 3 : 2 , and the ratio of ny mets fans to boston red sox fans is 4 : 5 . if there are 330 baseball fans in the town , each of whom is a fan of exactly one of those 3 teams , how many ny mets fans are there in this town ? \nOptions: a ) 72 , b ) 88 , c ) 95 , d ) 120 , e ) 135", "output": [ "b" ] }, { "id": "task1421-1b1ca7fa4b6846d3b0ceaf6e6f88941f", "input": "Problem: if 47.5 % of the 880 students at a certain college are enrolled in biology classes , how many students at the college are not enrolled in a biology class ? \nOptions: a ) 110 , b ) 330 , c ) 550 , d ) 462 , e ) 880", "output": [ "d" ] }, { "id": "task1421-12ad4a7d68d74207a12ec0d438a1f58a", "input": "Problem: log 3 n + log 15 n what is 3 digit number n that will be whole number \nOptions: a ) 3375 , b ) 7292 , c ) 8291 , d ) 3929 , e ) 2727", "output": [ "a" ] }, { "id": "task1421-557df76bf8904e9da1a7ffe1f06436f2", "input": "Problem: bag a contains red , white and blue marbles such that the red to white marble ratio is 1 : 3 and the white to blue marble ratio is 2 : 3 . bag b contains red and white marbles in the ratio of 1 : 4 . together , the two bags contain 40 white marbles . how many red marbles could be in bag a ? \nOptions: a ) 8 , b ) 3 , c ) 4 , d ) 6 , e ) 8", "output": [ "a" ] }, { "id": "task1421-2a8193eb321646a3af42777877efeff9", "input": "Problem: a container holding 12 ounces of a solution that is 1 part alcohol to 2 parts water is added to a container holding 4 ounces of a solution that is 1 part alcohol to 3 parts water . what is the ratio of alcohol to water in the resulting solution ? \nOptions: a ) 2 : 5 , b ) 3 : 7 , c ) 3 : 5 , d ) 5 : 11 , e ) 7 : 3", "output": [ "d" ] }, { "id": "task1421-c322dd3dead64816a6d54b699a759dca", "input": "Problem: an amount of money is to be distributed among faruk , vasim and ranjith in the ratio 3 : 5 : 9 . if vasims share is rs . 1500 , what is the difference between faruk ' s and ranjith ' s shares ? \nOptions: a ) s 1800 , b ) s 1500 , c ) s 1600 , d ) s 1900 , e ) s 1700", "output": [ "a" ] }, { "id": "task1421-9a034c7b9b8a45f6a4c68e484a6f749a", "input": "Problem: the salaries of a , b , and c are in the ratio of 1 : 2 : 3 . the salary of b and c together is rs . 6000 . by what percent is the salary of c more than that of a ? \nOptions: a ) 209 % , b ) 200 % , c ) 290 % , d ) 600 % , e ) 100 %", "output": [ "b" ] }, { "id": "task1421-8681137a9e0147a59f8ae4fdbd90640a", "input": "Problem: set a consists of the integers from 3 to 12 , inclusive , while set b consists of the integers from 6 to 20 , inclusive . how many distinct integers do belong to the both sets at the same time ? \nOptions: a ) 5 , b ) 7 , c ) 8 , d ) 9 , e ) 10", "output": [ "b" ] }, { "id": "task1421-a660c8e77aa64450949ea15a29d08693", "input": "Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 5 to 3 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ? \nOptions: a ) 5 : 1 , b ) 10 : 5 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2", "output": [ "e" ] }, { "id": "task1421-2d5d2488e5ca4ba986489c3618f79cda", "input": "Problem: what is the greatest positive integer r such that 3 ^ r is a factor of 9 ^ 10 ? \nOptions: a ) r = 5 , b ) r = 9 , c ) r = 10 , d ) r = 20 , e ) 30", "output": [ "d" ] }, { "id": "task1421-9da03285bc0447f4abee03307baa6e7d", "input": "Problem: 17 balls are numbered 1 to 17 . a ball is drawn and then another ball is drawn without replacement . what is the probability that both balls have even numbers ? \nOptions: a ) 1 / 7 , b ) 3 / 14 , c ) 5 / 23 , d ) 7 / 34 , e ) 9 / 41", "output": [ "d" ] }, { "id": "task1421-382500ea25f0489b88d61f762924588e", "input": "Problem: evaluate : log 3 27 \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "a" ] }, { "id": "task1421-b722d35c36a14a6dad2d99f58483f400", "input": "Problem: if 85 percent of the test takers taking an old paper and pencil gmat exam answered the first question on a given math section correctly , and 70 percent of the test takers answered the second question correctly , and 5 percent of the test takers answered neither question correctly , what percent answered both correctly ? \nOptions: a ) 60 % , b ) 65 % , c ) 70 % , d ) 75 % , e ) 80 %", "output": [ "a" ] }, { "id": "task1421-191f8c22141c4054bbbb7f40f530ab2c", "input": "Problem: a bag contains 12 red marbles . if someone were to remove 2 marbles from the bag , one at a time , and replace the first marble after it was removed , the probability that neither marble would be red is 25 / 36 . how many marbles are in the bag ? \nOptions: a ) 24 , b ) 48 , c ) 60 , d ) 72 , e ) 84", "output": [ "b" ] }, { "id": "task1421-447b04e07bd64f999ddfc72e8a487679", "input": "Problem: present ages of abi and suji are in the ratio of 5 : 4 respectively . 3 years hence , the ratio of their ages will become 11 : 9 respectively . what is suji ' s present age in years ? \nOptions: a ) 20 , b ) 21 , c ) 22 , d ) 23 , e ) 24", "output": [ "e" ] }, { "id": "task1421-cb2475d9695f4ca9af26d5648c07c84b", "input": "Problem: two containers of milk contain mixtures of water and milk in ratio 5 : 4 and 7 : 9 . in what ratio they should be mixed so that mixture is of 6 : 6 ratio ? \nOptions: a ) 6 : 5 , b ) 7 : 5 , c ) 9 : 8 , d ) 8 : 9 , e ) 8 : 7", "output": [ "c" ] }, { "id": "task1421-6847452c57114d9ca54dd4c68a61eaf8", "input": "Problem: a starts a business with $ 3500 . after 5 months , b joins with a as his partner . after a year , the profit is divided in the ratio 2 : 3 . b ' s contribution in the capital is \nOptions: a ) 7000 , b ) 9000 , c ) 8000 , d ) 9900 , e ) 7900", "output": [ "b" ] }, { "id": "task1421-80865623cb4f4fd9bdb12c3dc2e2a63c", "input": "Problem: the h . c . f . of two numbers is 30 and the other two factors of their l . c . m . are 10 and 15 . the larger of the two numbers is : \nOptions: a ) 350 , b ) 250 , c ) 450 , d ) 500 , e ) 620", "output": [ "c" ] }, { "id": "task1421-db45cf5bb8eb4d349cd78ffd61ec2ace", "input": "Problem: john distributes his pencil among his 4 friends rose , mary , ranjan , and rohit in the ratio 1 / 2 : 1 / 3 : 1 / 3 : 1 / 5 . what is the minimum no . of pencils that the person should have ? \nOptions: a ) 41 , b ) 65 , c ) 70 , d ) 77 , e ) 98", "output": [ "a" ] }, { "id": "task1421-d506755698984ba0b128a1a84baec191", "input": "Problem: two vessels contains equal number of mixtures milk and water in the ratio 8 : 2 and 9 : 1 . both the mixtures are now mixed thoroughly . find the ratio of milk to water in the new mixture so obtained ? \nOptions: a ) 1 : 3 , b ) 9 : 13 , c ) 5 : 11 , d ) 11 : 3 , e ) 17 : 3", "output": [ "e" ] }, { "id": "task1421-872fc9036c6e4964a81cf3190206d0ca", "input": "Problem: a certain university will select 1 of 9 candidates eligible to fill a position in the mathematics department and 2 of 15 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ? \nOptions: a ) 351 , b ) 425 , c ) 748 , d ) 854 , e ) 945", "output": [ "e" ] }, { "id": "task1421-b57e4fdb27d146ca8390f2733ce82892", "input": "Problem: how many positive integers e between 200 and 300 ( both inclusive ) are not divisible by 2 , 3 or 5 ? \nOptions: a ) 3 , b ) 16 , c ) 75 , d ) 24 , e ) 26", "output": [ "e" ] }, { "id": "task1421-51c858f5df7a43bf8afae12b3994c749", "input": "Problem: the ratio of the incomes of a and b is 5 : 4 and the ratio of their expenditure is 3 : 2 . if at the end of the year , each saves $ 1600 then the income of a is ? \nOptions: a ) $ 1500 , b ) $ 4000 , c ) $ 2000 , d ) $ 2500 , e ) $ 3200", "output": [ "b" ] }, { "id": "task1421-7f4fe21e33da47e4b87a2e69951879ce", "input": "Problem: there are 180 doctors and nurses at a hospital . if the ratio of doctors to nurses is 2 to 3 , how many nurses are at the hospital ? \nOptions: a ) 100 , b ) 104 , c ) 108 , d ) 112 , e ) 116", "output": [ "c" ] }, { "id": "task1421-5f0d38ca09bf4f8b8dfc1c07e47d90e5", "input": "Problem: the sum of 3 numbers is 98 . if the ratio between first and second be 2 : 3 and that between second and third be 5 : 8 , then the second number is ? \nOptions: a ) 30 , b ) 20 , c ) 58 , d ) 48 , e ) 68", "output": [ "a" ] }, { "id": "task1421-6ee62f020ae74fe8bf0789d1d30b3b04", "input": "Problem: a certain car dealership sells economy cars , luxury cars , and sport utility vehicles . the ratio of economy to luxury cars is 5 : 2 . the ratio of economy cars to sport utility vehicles is 4 : 3 . what is the ratio of luxury cars to sport utility vehicles ? \nOptions: a ) 9 : 8 , b ) 8 : 15 , c ) 3 : 2 , d ) 2 : 3 , e ) 1 : 2", "output": [ "b" ] }, { "id": "task1421-28550399a5dc4a2098079fcfa7790cc2", "input": "Problem: there 3 kinds of books in the library physics , chemistry and biology . ratio of physics to chemistry is 3 to 2 ; ratio of chemistry to biology is 4 to 3 , and the total of the books is more than 3000 . which one of following can be the total q of the book ? \nOptions: a ) 3003 , b ) 3027 , c ) 3024 , d ) 3021 , e ) 3018", "output": [ "a" ] }, { "id": "task1421-6e989f59ae0b4ddc99152173367dfce2", "input": "Problem: the number of people who purchased book a is twice the number of people who purchased book b . the number of people who purchased both books a and b is 500 , which is twice the number of people who purchased only book b . what is the number of people z who purchased only book a ? \nOptions: a ) 250 , b ) 500 , c ) 750 , d ) 1000 , e ) 1500", "output": [ "d" ] }, { "id": "task1421-6841346b41f14f09a3ee3e3e0215e30b", "input": "Problem: a certain university will select 1 of 7 candidates eligible to fill a position in the mathematics department and 2 of 9 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ? \nOptions: a ) 42 , b ) 70 , c ) 140 , d ) 165 , e ) 252", "output": [ "e" ] }, { "id": "task1421-b1bc928230d24ac8ba724a7bf974cafd", "input": "Problem: in a family 16 people eat only vegetarian , 9 people eat only non veg . , 12 people eat both veg and non veg . . how many people eat veg in the family ? \nOptions: a ) 28 , b ) 26 , c ) 22 , d ) 31 , e ) 21", "output": [ "a" ] }, { "id": "task1421-1f46929fd0bd460e9a4576abf6916b73", "input": "Problem: two assembly line inspectors , lauren and steven , inspect widgets as they come off the assembly line . if lauren inspects every fifth widget , starting with the fifth , and steven inspects every third , starting with the third , how many of the 95 widgets produced in the first hour of operation are not inspected by either inspector ? \nOptions: a ) 50 , b ) 43 , c ) 45 , d ) 55 , e ) 60", "output": [ "a" ] }, { "id": "task1421-4cc788d4ba08436d802634d9ef636715", "input": "Problem: a certain car dealership sells economy cars , luxury cars , and sport utility vehicles . the ratio of economy to luxury cars is 3 : 2 . the ratio of economy cars to sport utility vehicles is 4 : 1 . what is the ratio of luxury cars to sport utility vehicles ? \nOptions: a ) 9 : 8 , b ) 8 : 3 , c ) 3 : 2 , d ) 2 : 3 , e ) 1 : 2", "output": [ "b" ] }, { "id": "task1421-ab23fc59c3174c09acc2df4855b5fb13", "input": "Problem: in a group of 100 cars , 47 cars do not have air conditioning . if at least 53 cars have racing stripes , what is the greatest number of cars that could have air conditioning but not racing stripes ? \nOptions: a ) 45 , b ) 47 , c ) 49 , d ) 51 , e ) 53", "output": [ "b" ] }, { "id": "task1421-9106245fe8514a9c807ee6737c0d9f8c", "input": "Problem: thomas ' s age and matt ' s age are in the ratio 3 : 5 . two years ago the ratio of their ages was 5 : 9 . find the ratio of their ages 4 years hence ? \nOptions: a ) 1 : 2 , b ) 2 : 3 , c ) 3 : 4 , d ) 4 : 5 , e ) 5 : 6", "output": [ "b" ] }, { "id": "task1421-7138bd76c60c41f38168309df2f0636b", "input": "Problem: sachin is older than rahul by 7 years . if the ratio of their ages is 11 : 9 , find the age of sachin \nOptions: a ) 24.5 , b ) 24.8 , c ) 38.5 , d ) 24.88 , e ) 24.19", "output": [ "c" ] }, { "id": "task1421-32e05a5549484302b4e33b77bb6bd81b", "input": "Problem: a boy multiplied 987 by a certain number and obtained 559981 as his answer . if in the answer both 98 are wrong and other digits are correct , then the correct answer would be : \nOptions: a ) 553681 , b ) 555181 , c ) 555681 , d ) 556581 , e ) 555581", "output": [ "c" ] }, { "id": "task1421-8fd1eceb5349450e89e377af8113b937", "input": "Problem: how many trailing zeroes does 49 ! + 50 ! have ? \nOptions: a ) 9 , b ) 10 , c ) 11 , d ) 12 , e ) 22", "output": [ "b" ] }, { "id": "task1421-9a3f61f372aa4ca1afbaa9a2dc1762dd", "input": "Problem: what is the units digit of 32 ! + 50 ! + 4 ! + 4 ! ? \nOptions: a ) 0 , b ) 2 , c ) 4 , d ) 6 , e ) 8", "output": [ "e" ] }, { "id": "task1421-9573c0ad7a054d9a979d753befccda24", "input": "Problem: the incomes of two persons a and b are in the ratio 3 : 4 . if each saves rs . 100 per month , the ratio of their expenditures is 1 : 4 . find their incomes ? \nOptions: a ) 112.5 , 158.5 , b ) 180.5 , 150 , c ) 100 , 200 , d ) 112.5 , 150 , e ) 122.5 , 150", "output": [ "d" ] }, { "id": "task1421-e1c3ab1b258d4cc0a5c6026ee3c06f86", "input": "Problem: how many multiples of 7 are there between 10 and 100 ( both are inclusive ) ? \nOptions: a ) 11 , b ) 13 , c ) 15 , d ) 17 , e ) 21", "output": [ "b" ] }, { "id": "task1421-5cf6d9efd3ae4d48bef9bc55e04e603b", "input": "Problem: water consists of hydrogen and oxygen , and the approximate ratio , by mass , of hydrogen to oxygen is 2 : 16 . approximately how many grams of oxygen are there in 126 grams of water ? \nOptions: a ) 110 , b ) 112 , c ) 114 , d ) 116 , e ) 118", "output": [ "b" ] }, { "id": "task1421-2899b609e8834552870f4d76720e04ad", "input": "Problem: in a certain group of 10 developers , 4 developers code only in python and the rest program in either ruby on rails or php - but not both . if a developer organization is to choose a 3 - member team , which must have at least 1 developer who codes in python , how many different programming teams can be chosen ? \nOptions: a ) 100 , b ) 40 , c ) 66 , d ) 80 , e ) 75", "output": [ "a" ] }, { "id": "task1421-88a689e661a746979f0f09203a154d8e", "input": "Problem: two numbers are in the ratio of 15 : 11 . if their h . c . f . is 13 , find the numbers . \nOptions: a ) 195,143 , b ) 185,133 , c ) 175,123 , d ) 165,113 , e ) none of them", "output": [ "a" ] }, { "id": "task1421-f3d4d7fddbd84b1b888d379fcd06b4d6", "input": "Problem: what is the prime factors ’ number of 18 ? \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6", "output": [ "b" ] }, { "id": "task1421-356aaa69d6754cf4b2ac9bce136629c3", "input": "Problem: if log 102 = 0.3010 , log 10 3 = 0.4771 , then the number of zeros between the decimal point and the first significant figure in ( 0.0432 ) 10 is ? \nOptions: a ) 10 , b ) 13 , c ) 14 , d ) 15 , e ) 16", "output": [ "b" ] }, { "id": "task1421-c722af3365dd4df595bd8b91e99113dc", "input": "Problem: in the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30 . in the sport formulation , the ratio of flavoring to corn syrup is three times as great as in the standard formulation , and the ratio of flavoring to water is half that of the standard formulation . if a large bottle of the sport formulation contains 7 ounces of corn syrup , how many ounces of water does it contain ? \nOptions: a ) 45 , b ) 50 , c ) 55 , d ) 60 , e ) 105", "output": [ "e" ] }, { "id": "task1421-9ce876c018e3428188fed147b3d63bc7", "input": "Problem: the l . c . m of two numbers is 48 . the numbers are in the ratio 1 : 3 . the sum of numbers is : \nOptions: a ) 28 , b ) 30 , c ) 40 , d ) 50 , e ) 64", "output": [ "e" ] }, { "id": "task1421-734e4dabe4914a3ba7c22f5cdf6ec408", "input": "Problem: how many positive factors do 160 and 96 have in common ? \nOptions: a ) 6 , b ) 12 , c ) 16 , d ) 18 , e ) 24", "output": [ "a" ] }, { "id": "task1421-9875466ddee54862b56ac83ec5f40af3", "input": "Problem: the ratio of local and international calls made by amy this week is 5 to 2 . if the ratio changes to 5 to 3 after amy makes 3 more international calls , how many local calls did amy make this week ? \nOptions: a ) 3 , b ) 5 , c ) 10 , d ) 15 , e ) 21", "output": [ "d" ] }, { "id": "task1421-fb7435deb9ee4a3f8fb6a7ffa2aa16b1", "input": "Problem: two numbers are in the ratio 3 : 4 . if the sum of numbers is 63 , find the numbers . \nOptions: a ) 27 and 36 . , b ) 25 and 30 . , c ) 23 and 44 . , d ) 63 and 12 . , e ) 12 and 36 .", "output": [ "a" ] }, { "id": "task1421-21736036f6d44cd2927c28c4d783e85f", "input": "Problem: in a sports club with 30 members , 17 play badminton and 17 play tennis and 2 do not play either . how many members play both badminton and tennis ? \nOptions: a ) 7 , b ) 6 , c ) 9 , d ) 10 , e ) 11", "output": [ "b" ] }, { "id": "task1421-f75f85045d104c0ebf46e6bcbc006b91", "input": "Problem: the compounded ratio of ( 2 : 3 ) , ( 6 : 11 ) and ( 11 : 2 ) is \nOptions: a ) 2 : 0 , b ) 2 : 1 , c ) 2 : 9 , d ) 2 : 2 , e ) 2 : 5", "output": [ "b" ] }, { "id": "task1421-7519d5e9b05f4a7faad4d2d2a17113fa", "input": "Problem: the concentration of spirit in 3 different vessels a , b and c are 45 % , 30 % and 10 % respectively . if 4 litres from vessel a , 5 litres from vessel b and 6 litres from vessel c are mixed , find the concentration of spirit in the resultant solution . \nOptions: a ) 26 % , b ) 33 % , c ) 34 % , d ) 35 % , e ) 24 %", "output": [ "a" ] }, { "id": "task1421-a7afffe811eb44be9fc83751cf23725b", "input": "Problem: how many zeros does 65 ! end with ? \nOptions: a ) 20 , b ) 15 , c ) 25 , d ) 30 , e ) 32", "output": [ "b" ] }, { "id": "task1421-5dfe592df4c847d998bb229c014b32b3", "input": "Problem: sachin is younger than rahul by 6 years . if their ages are in the respective ratio of 7 : 9 , how old is sachin ? \nOptions: a ) 16 , b ) 18 , c ) 28 , d ) 30 , e ) 34", "output": [ "e" ] }, { "id": "task1421-55a306a6f32a4328be7608568a42d679", "input": "Problem: ratio between rahul and deepak is 4 : 3 , after 4 years rahul age will be 32 years . what is deepak present age . \nOptions: a ) 14 , b ) 15 , c ) 20 , d ) 21 , e ) 24", "output": [ "d" ] }, { "id": "task1421-f865aa33f5c945cba97ab316071e2340", "input": "Problem: the number of even factors of 21600 is \nOptions: a ) 32 , b ) 42 , c ) 60 , d ) 25 , e ) 52", "output": [ "c" ] }, { "id": "task1421-925acea086a6482bbe9a5405bde1042e", "input": "Problem: tough and tricky questions : ratios 4 / 5 of a certain class left on a field trip . 1 / 3 of the students who stayed behind did not want to go on the field trip ( all the others did want to go ) . when another vehicle was located , 1 / 2 of the students who did want to go on the field trip but had been left behind were able to join . what fraction of the class ended up going on the field trip ? \nOptions: a ) 1 / 2 , b ) 2 / 3 , c ) 13 / 15 , d ) 23 / 30 , e ) 4 / 5", "output": [ "c" ] }, { "id": "task1421-904735974a5b43f383287fb5355ac17b", "input": "Problem: two whole numbers whose sum is 42 can not be in the ratio \nOptions: a ) 2 : 5 , b ) 1 : 6 , c ) 2 : 4 , d ) 3 : 8 , e ) 2 : 40", "output": [ "d" ] }, { "id": "task1421-34a75e51bb8f4fc7a8060e4d7a0f3f95", "input": "Problem: a pet store holds cats and dogs . if the difference between the number of cats and the number of dogs is 3 . what could be the ratio of cats to dogs in the pet store ? \nOptions: a ) 12 : 15 , b ) 1 : 4 , c ) 1 : 5 , d ) 2 : 5 , e ) 1 : 3", "output": [ "a" ] }, { "id": "task1421-b6a617bd9f2c4fd7a76ad524ebefa3a6", "input": "Problem: if 32.5 % of the 880 students at a certain college are enrolled in biology classes , how many students at the college are not enrolled in a biology class ? \nOptions: a ) 110 , b ) 330 , c ) 550 , d ) 594 , e ) 880", "output": [ "d" ] }, { "id": "task1421-e275ea3cca3047a4b221e7eaee8dcc40", "input": "Problem: in a certain large company , the ratio of college graduates with a graduate degree to non - college graduates is 1 : 8 , and ratio of college graduates without a graduate degree to non - college graduates is 2 : 3 . if one picks a random college graduate at this large company , what is the probability w this college graduate has a graduate degree ? \nOptions: a ) 1 / 11 , b ) 1 / 12 , c ) 1 / 13 , d ) 3 / 19 , e ) 3 / 43", "output": [ "d" ] }, { "id": "task1421-656d87db52b34d4c95a307e01c7206e6", "input": "Problem: the ratio of pens to pencils is 5 to 6 . there are 8 more pencils than pens . how many pencils are there ? \nOptions: a ) 30 , b ) 32 , c ) 48 , d ) 55 , e ) 64", "output": [ "c" ] }, { "id": "task1421-ecf56903e43c48048562b4a4e0ec6b77", "input": "Problem: if 70 percent of a class answered the first question on a certain test correctly , 55 percent answered the second question on the test correctly , and 20 percent answered neither of the questions correctly , what percent answered both correctly ? \nOptions: a ) 45 % , b ) 40 % , c ) 35 % , d ) 30 % , e ) 25 %", "output": [ "a" ] }, { "id": "task1421-741a7a23abcd4f8782d97278dee528e7", "input": "Problem: the simple form of the ratio 2 / 3 : 2 / 5 is ? \nOptions: a ) 5 : 0 , b ) 5 : 3 , c ) 5 : 1 , d ) 5 : 2 , e ) 5 : 7", "output": [ "d" ] }, { "id": "task1421-97f334ebe3084fc29de80d42c0c0563e", "input": "Problem: how many of the positive factors of 75 are not factors of 95 ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4", "output": [ "e" ] }, { "id": "task1421-8b6a1a101e854a288d2fc43b059eab48", "input": "Problem: two numbers are in the ratio 1 : 2 , if 7 is added to both , their ratio changes to 3 : 5 . the greatest number is \nOptions: a ) 24 , b ) 26 , c ) 28 , d ) 32 , e ) 44", "output": [ "c" ] }, { "id": "task1421-de0657c663a3424c9610f88438159e58", "input": "Problem: of the 200 stamps in a collection , 90 are foreign and 80 are more than 10 years old . if 20 stamps are both foreign and more than 10 years old , how many stamps are neither foreign nor more than 10 years old ? \nOptions: a ) 50 , b ) 80 , c ) 100 , d ) 130 , e ) 150", "output": [ "a" ] }, { "id": "task1421-6c352c2099eb478194fe5046cf20718e", "input": "Problem: water consists of hydrogen and oxygen , and the approximate ratio , by mass , of hydrogen to oxygen is 2 : 16 . approximately how many grams of oxygen are there in 153 grams of water ? \nOptions: a ) 16 , b ) 72 , c ) 112 , d ) 136 , e ) 142", "output": [ "d" ] }, { "id": "task1421-48b508d894834578be31a96c15dbfaf4", "input": "Problem: the ratio of incomes of two person p 1 and p 2 is 5 : 4 and the ratio of their expenditures is 3 : 2 . if at the end of the year , each saves rs . 2200 , then what is the income of p 1 ? \nOptions: a ) s . 800 , b ) s . 2400 , c ) s . 4000 , d ) s . 5500 , e ) s . 4200", "output": [ "d" ] }, { "id": "task1421-940d8535ccdd4020a6a62e1c6a662f89", "input": "Problem: the ratio of numbers is 3 : 4 and their h . c . f is 5 . their l . c . m is : \nOptions: a ) 12 , b ) 16 , c ) 24 , d ) 60 , e ) 98", "output": [ "d" ] }, { "id": "task1421-9e98a30d4e9a4835a4fcb3feb5e533b4", "input": "Problem: a certain company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales were up 7 percent from 1996 . if total revenues from car sales and truck sales in 1997 were up 1 percent from 1996 , what is the ratio w of revenue from car sales in 1996 to revenue from truck sales in 1996 ? \nOptions: a ) 1 : 2 , b ) 4 : 5 , c ) 1 : 1 , d ) 3 : 2 , e ) 5 : 3", "output": [ "a" ] }, { "id": "task1421-4588cafb5b8d4f0aad0782a412f301d2", "input": "Problem: a certain fraction has the same ratio to 1 / 18 , as 2 / 5 does to 2 / 9 . what is this certain fraction ? \nOptions: a ) 1 / 5 , b ) 1 / 7 , c ) 1 / 10 , d ) 1 / 12 , e ) 1 / 15", "output": [ "c" ] }, { "id": "task1421-5d3c01a654c14ccca5d5762aa131fa2f", "input": "Problem: 16 balls are numbered 1 to 16 . a ball is drawn and then another ball is drawn without replacement . what is the probability that both balls have even numbers ? \nOptions: a ) 4 / 11 , b ) 5 / 17 , c ) 6 / 25 , d ) 7 / 30 , e ) 8 / 37", "output": [ "d" ] }, { "id": "task1421-f68f534e6d4247ef9763633d9bfabb57", "input": "Problem: bag a contains red , white and blue marbles such that the red to white marble ratio is 1 : 3 and the white to blue marble ratio is 2 : 3 . bag b contains red and white marbles in the ratio of 1 : 4 . together , the two bags contain 26 white marbles . how many red marbles could be in bag a ? \nOptions: a ) 1 , b ) 3 , c ) 4 , d ) 2 , e ) 8", "output": [ "d" ] }, { "id": "task1421-63280f73a0864c36b879bb29e055303a", "input": "Problem: the ratio of money with ram and gopal is 7 : 17 and that with gopal and krishan is 7 : 17 . if ram has rs . 637 , krishan has ? \nOptions: a ) s . 2890 , b ) s . 2330 , c ) s . 3757 , d ) s . 1620 , e ) s . 2680", "output": [ "c" ] }, { "id": "task1421-b2d51749d50e40a6901265a7c3a3697f", "input": "Problem: two integers are in the ratio of 1 to 3 . if 10 is added to the smaller number , the ratio becomes 1 to 1 . find the larger integer . \nOptions: a ) 6 , b ) 9 , c ) 10 , d ) 12 , e ) 15", "output": [ "e" ] }, { "id": "task1421-5a65bcfaa9b3409b94a08af13445d474", "input": "Problem: 13 different biology books and 8 different chemistry books lie on a shelf . in how many ways can a student pick 2 books of each type ? \nOptions: a ) 80 , b ) 160 , c ) 720 , d ) 1100 , e ) 2184", "output": [ "e" ] }, { "id": "task1421-a96ef641bf6744aeb07a717109edf853", "input": "Problem: 170 kg of an alloy a is mixed with 250 kg of alloy b . if alloy a has lead and tin in the ratio 1 : 3 and alloy b has tin and copper in the ratio 3 : 5 , then the amount of tin in the new alloy is ? \nOptions: a ) 210.6 kg , b ) 221.3 kg , c ) 229.5 kg , d ) 110.8 kg , e ) 114 kg", "output": [ "b" ] }, { "id": "task1421-0e6dbf8d60c74b16ba3b4ce136a204e6", "input": "Problem: if 0.2 of a number is equal to 0.08 of another number , the ratio of the numbers is : \nOptions: a ) 2 : 3 , b ) 3 : 4 , c ) 2 : 5 , d ) 20 : 3 , e ) 30 : 7", "output": [ "c" ] }, { "id": "task1421-d4f30b73a90643f897f658de007b2946", "input": "Problem: a pet store holds cats and dogs . if the difference between the number of cats and the number of dogs is 11 . what could be the ratio of cats to dogs in the pet store ? \nOptions: a ) 1 : 3 , b ) 1 : 4 , c ) 1 : 5 , d ) 44 : 55 , e ) 4 : 6", "output": [ "d" ] }, { "id": "task1421-65d460609c8048a1a380acb6155c7542", "input": "Problem: in what ratio must rice of rs . 32 per kg be mixed with rice of rs . 42 per kg so that cost of mixture is rs . 20 per kg ? \nOptions: a ) 13 : 6 , b ) 13 : 5 , c ) 11 : 6 , d ) 11 : 5 , e ) 12 : 5", "output": [ "c" ] }, { "id": "task1421-1bc28bb9d8ff4a4592688f86cf4d6b45", "input": "Problem: if the ratio of two number is 2 : 3 and lcm of the number is 120 then what is the number . \nOptions: a ) 15 , b ) 20 , c ) 25 , d ) 30 , e ) 35", "output": [ "b" ] }, { "id": "task1421-42349cc30b0f45e590211acbd9580dc4", "input": "Problem: the ratio of the money with ravi and giri is 6 : 7 and that with giri and kiran is 6 : 15 . if ravi has $ 36 , how much money does kiran have ? \nOptions: a ) $ 36 , b ) $ 42 , c ) $ 60 , d ) $ 75 , e ) $ 105", "output": [ "e" ] }, { "id": "task1421-fbc8a3b97b154611adab5493d7f6cb62", "input": "Problem: the ratio of the number of females to males at a party was 1 : 2 but when 3 females and 3 males left , the ratio became 1 : 3 . how many people were at the party originally ? \nOptions: a ) 14 , b ) 16 , c ) 18 , d ) 20 , e ) 22", "output": [ "c" ] }, { "id": "task1421-279e5c9534914acaa3ab9bba276e32d2", "input": "Problem: at a garage sale , all of the items were sold at different prices . if the price of a radio sold at the garage sale was both the 18 th highest price and the 25 th lowest price among the prices of the items sold , how many items were sold at the garage sale ? \nOptions: a ) 41 , b ) 42 , c ) 43 , d ) 44 , e ) 45", "output": [ "b" ] }, { "id": "task1421-1eb022816f4b4feb86aab729d6440055", "input": "Problem: the ratio of 2 numbers is 4 : 6 and their h . c . f . is 8 . their l . c . m . is ? \nOptions: a ) 20 , b ) 24 , c ) 52 , d ) 96 , e ) 60", "output": [ "d" ] }, { "id": "task1421-4a2ce655f68841f28d51f5a6d566a4d2", "input": "Problem: at a party , 13 guests brought wine and 14 guests brought beer . if exactly 11 guests brought only one of the two types of drinks , how many guests brought both types of drinks ? \nOptions: a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 14", "output": [ "d" ] }, { "id": "task1421-7b6018a37506466abd256d82e9b887de", "input": "Problem: the ratio between the sale price and the cost price of an article is 6 : 4 . what is the ratio between the profit and the cost price of that article ? \nOptions: a ) 23 , b ) 1 : 2 , c ) 2 : 5 , d ) 3 : 5 , e ) 25", "output": [ "b" ] }, { "id": "task1421-a02c21874f634132a505dee75db8f15e", "input": "Problem: if $ 792 are divided between worker a and worker b in the ratio 5 : 6 , what is the share that worker b will get ? \nOptions: a ) 54.54 % , b ) 55.55 % , c ) 56.56 % , d ) 57.57 % , e ) 58.58 %", "output": [ "a" ] }, { "id": "task1421-6b1e5161e08a4cd184670bb02ef11bbd", "input": "Problem: sachin is younger than rahul by 9 years . if the ratio of their ages is 7 : 9 , find the age of sachin \nOptions: a ) 31.5 , b ) 24.5 , c ) 24.3 , d ) 24.9 , e ) 24.1", "output": [ "a" ] }, { "id": "task1421-fff3e8b7153148ec9d4091fd73597dce", "input": "Problem: the contents of two vessels containing copper and tin in the ratio 2 : 3 and 5 : 7 are mixed in the ratio 3 : 5 . the resulting mixture will have copper and tin in the ratio ? \nOptions: a ) 210 : 283 , b ) 312 : 433 , c ) 178 : 213 , d ) 197 : 283 , e ) 145 : 256", "output": [ "d" ] }, { "id": "task1421-99183564862e4ea694a8328141c7fa76", "input": "Problem: of the 65 house in a development , 50 have a two - car garage , 40 have an in - the - ground swimming pool , and 35 have both a two - car garage and an in - the - ground swimming pool . how many houses in the development have neither a two - car garage nor an in - the - ground swimming pool ? \nOptions: a ) 10 , b ) 15 , c ) 20 , d ) 25 , e ) 30", "output": [ "a" ] }, { "id": "task1421-43b26331ef4f4f44b8ec8a142cf53415", "input": "Problem: how many of the positive factors of 25 , 15 and how many common factors are there in numbers ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "b" ] }, { "id": "task1421-cc520ba18e7a4e80ab9f4fad68033ebf", "input": "Problem: three numbers are in the ratio of 2 : 3 : 4 and their l . c . m . is 300 . what is their h . c . f . ? \nOptions: a ) 20 , b ) 25 , c ) 30 , d ) 60 , e ) 75", "output": [ "b" ] }, { "id": "task1421-96763457378c4d22b049f43998dce6aa", "input": "Problem: how many factors of 60 are odd numbers greater than 1 ? \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 3 , e ) 7", "output": [ "d" ] }, { "id": "task1421-027badbe89d34eae8455477b9ceb9f16", "input": "Problem: two numbers are in respectively 20 % and 50 % more than a third number . the ratio of the two numbers is ? \nOptions: a ) 2 : 5 , b ) 1 : 2 , c ) 4 : 5 , d ) 3 : 7 , e ) 5 : 6", "output": [ "c" ] }, { "id": "task1421-d31b151b52b84af8b07de672fd03806c", "input": "Problem: ratio between rahul and deepak is 5 : 2 , after 6 years rahul age will be 26 years . what is deepak present age . \nOptions: a ) 14 , b ) 15 , c ) 8 , d ) 22 , e ) 24", "output": [ "c" ] }, { "id": "task1421-5ad21902e108471d8c948dc7697ce061", "input": "Problem: mr . kutty has only hens and sheep . if the total number of their heads is 38 and the total number of legs is 100 then what is the ratio between the numbers of hens and sheep ? \nOptions: a ) 2 : 1 , b ) 1 : 2 , c ) 6 : 13 , d ) 13 : 6 , e ) none of these", "output": [ "d" ] }, { "id": "task1421-a25445e81f244fb9ac8fba9373d1f57f", "input": "Problem: find the number of factors of 9321 ? \nOptions: a ) 3 , b ) 6 , c ) 8 , d ) 16 , e ) 32", "output": [ "c" ] }, { "id": "task1421-7f740a7b3f3b4e5ba000377ff5a31576", "input": "Problem: bag a contains red , white and blue marbles such that the red to white marble ratio is 1 : 3 and the white to blue marble ratio is 2 : 3 . bag b contains red and white marbles in the ratio of 1 : 4 . together , the two bags contain 50 white marbles . how many red marbles could be in bag a ? \nOptions: a ) 1 , b ) 5 , c ) 4 , d ) 6 , e ) 8", "output": [ "b" ] }, { "id": "task1421-f9f4d01e9b4748e59b2b5cf9cbeb5eb8", "input": "Problem: what is log 3 ( 4 ) log 4 ( 5 ) . . . log 80 ( 81 ) ? \nOptions: a ) 1 , b ) 4 , c ) 81 , d ) log 80 243 , e ) e 81", "output": [ "b" ] }, { "id": "task1421-1629b8d1db5542ee8c80917cdbebd81b", "input": "Problem: a class consists of 15 biology students and 10 chemistry students . if you pick two students at the same time , what ' s the probability that one is maths and one is chemistry ? \nOptions: a ) 2 / 7 , b ) 5 / 7 , c ) 1 / 2 , d ) 3 / 7 , e ) 1 / 2", "output": [ "c" ] }, { "id": "task1421-fc82f37a564647e1b4bad323ccf430ed", "input": "Problem: the ratio by weight , measured in pounds , of books to clothes to electronics in a suitcase initially stands at 7 : 5 : 3 . someone removes 5 pounds of clothing from the suitcase , thereby doubling the ratio of books to clothes . how many pounds do the electronics in the suitcase weigh ? \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "d" ] }, { "id": "task1421-1bfa5fef385349f9bd18ee5f6dd01e49", "input": "Problem: what is the factorial of 5 ? \nOptions: a ) 1 , b ) 60 , c ) 120 , d ) 130 , e ) 180", "output": [ "c" ] }, { "id": "task1421-9db3b25af1624550aac8d16a064e3063", "input": "Problem: income and expenditure of a person are in the ratio 15 : 8 . if the income of the person is rs . 15000 , then find his savings ? \nOptions: a ) 6999 , b ) 7000 , c ) 7001 , d ) 7002 , e ) 7003", "output": [ "b" ] }, { "id": "task1421-bf5af6e6ec54415c8bf3785a0fb31407", "input": "Problem: doughnuts , cookies and muffins in a pastry shop are in the ratio of 5 : 3 : 1 . if there are 50 doughnuts , the number of muffins in the shop is : . \nOptions: a ) 25 , b ) 30 , c ) 10 , d ) 15 , e ) 20", "output": [ "c" ] }, { "id": "task1421-6ca1c1b0c2764a5880bf8afa847cd773", "input": "Problem: the ratio of the arithmetic mean of two numbers to one of the numbers is 3 : 5 . what is the ratio of the smaller number to the larger ? \nOptions: a ) 1 : 5 , b ) 1 : 4 , c ) 1 : 3 , d ) 1 : 2 , e ) 2 : 3", "output": [ "a" ] }, { "id": "task1421-73eb1ac56b9641028ac3c6aada537496", "input": "Problem: if below equation are true 24 $ 6 = 64 35 $ 5 = 87 63 $ 7 = 99 by using same logic what is the value of the below question 88 $ 8 = ? \nOptions: a ) 1621 , b ) 1711 , c ) 1611 , d ) 1511 , e ) 1311", "output": [ "c" ] }, { "id": "task1421-2398d5af390f460686f54e3b999809ff", "input": "Problem: of the diplomats attending a summit conference , 22 speak french , 32 do not speak russian , and 20 % of the diplomats speak neither french nor russian . if 10 % of the diplomats speak both languages , then how many diplomats attended the conference ? \nOptions: a ) 72 , b ) 96 , c ) 100 , d ) 120 , e ) 150", "output": [ "c" ] }, { "id": "task1421-ede7fddda09246c8ab0bb01487779c08", "input": "Problem: if n is the greatest positive integer for which 4 ^ n is a factor of 8 ! , then n = ? \nOptions: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 10", "output": [ "a" ] }, { "id": "task1421-310eaeda57254cdaaa235ec5bebfcc85", "input": "Problem: at a certain zoo , the ratio of sea lions to penguins is 4 to 11 . if there are 84 more penguins than sea lions at the zoo , how many sea lions are there ? \nOptions: a ) 24 , b ) 36 , c ) 48 , d ) 72 , e ) 132", "output": [ "c" ] }, { "id": "task1421-bcc9f54113a6494c968a6962586e8fef", "input": "Problem: find the fraction which has the same ratio to 2 / 5 that 3 / 7 has to 6 / 5 \nOptions: a ) 2 / 4 , b ) 6 / 78 , c ) 4 / 7 , d ) 3 / 5 , e ) 1 / 7", "output": [ "e" ] }, { "id": "task1421-36c331a7fd474b97a8dd63117613bd4d", "input": "Problem: if all 6 are replaced by 9 , the algebric sum of all numbers from 1 to 100 ( both inclusive ) varies by , \nOptions: a ) 980 , b ) 330 , c ) 660 , d ) 990 , e ) 300", "output": [ "b" ] }, { "id": "task1421-141d5a6c997a418ba67e6e762e497b6c", "input": "Problem: the ratio of two quantities is 4 : 3 . if each of the quantities is decreased by 8 , their ratio changes to 3 : 1 then the smallest number is ? \nOptions: a ) 5.2 , b ) 6.9 , c ) 9.6 , d ) 7.8 , e ) 4.7", "output": [ "c" ] }, { "id": "task1421-73b86d00e31146c482b5c4ac58c3c6c2", "input": "Problem: the ratio of flour to water to sugar in a recipe is 10 : 6 : 3 . the ratio in a new recipe calls for a doubling of the ratio of flour to water from the original recipe and a halving of the ratio of flour to sugar . if the new recipe calls for 2 cups of water , how much sugar is required ? \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "b" ] }, { "id": "task1421-72806b63b5b84796a2af73b22527f4ea", "input": "Problem: the monthly incomes of a and b are in the ratio 5 : 2 . b ' s monthly income is 12 % more than c ' s monthly income . if c ' s monthly income is rs . 15000 , then find the annual income of a ? \nOptions: a ) 187888 , b ) 276889 , c ) 267777 , d ) 504000 , e ) 297112", "output": [ "d" ] }, { "id": "task1421-a1e8b40e51a740498a380cd1874ae320", "input": "Problem: if $ 1088 are divided between worker a and worker b in the ratio 5 : 11 , what is the share that worker b will get ? \nOptions: a ) 62.45 % , b ) 64.55 % , c ) 66.65 % , d ) 68.75 % , e ) 70.85 %", "output": [ "d" ] }, { "id": "task1421-ecdd035a07604696a7787278d7a55567", "input": "Problem: a dog breeder currently has 9 breeding dogs . 6 of the dogs have exactly 1 littermate , and 3 of the dogs have exactly 2 littermates . if 2 dogs are selected at random , what is the probability w that both selected dogs are not littermates ? \nOptions: a ) 1 / 6 , b ) 2 / 9 , c ) 5 / 6 , d ) 7 / 9 , e ) 8 / 9", "output": [ "c" ] }, { "id": "task1421-67149e6fce254d72990aa17e4250e39f", "input": "Problem: the triplicate ratio of 3 : 5 is ? \nOptions: a ) 27 : 125 , b ) 1 : 62 , c ) 1 : 34 , d ) 3 : 64 , e ) 5 : 64", "output": [ "a" ] }, { "id": "task1421-c736629d25134ca8af030f3de8ca80ce", "input": "Problem: in a ratio which is equal to 4 : 6 , if the antecedent is 30 , then the consequent is ? \nOptions: a ) 72 , b ) 85 , c ) 64 , d ) 51 , e ) 45", "output": [ "e" ] }, { "id": "task1421-b2b0cd34fbc04b5fb5db8bed3de4aa58", "input": "Problem: the ratio between the current age of a and b is 6 : 7 . if b is 4 years old than a . what will be the ratio of the ages of a and b after 4 years ? \nOptions: a ) 7 : 8 , b ) 8 : 9 , c ) 4 : 6 , d ) 4 : 8 , e ) 5 : 8", "output": [ "a" ] }, { "id": "task1421-0bcfbf5937524e518eb3de0c989fb976", "input": "Problem: how many zeros are the end of 380 ! ? \nOptions: a ) 90 , b ) 91 , c ) 94 , d ) none , e ) 95", "output": [ "c" ] }, { "id": "task1421-3d740631f41145ca92226105a7d59c90", "input": "Problem: if log 27 = 1.431 , then the value of log 9 is : 0.934 b . 0.945 c . 0.954 d . 0.958 \nOptions: a ) 0.954 , b ) 0.93 , c ) 0.933 , d ) 0.96 , e ) 0.974", "output": [ "a" ] }, { "id": "task1421-8361d80d111143e4b68c4251ae0a216b", "input": "Problem: at a certain restaurant , the ratio of the number of cooks to the number of waiters is 3 to 11 . when 12 more waiters are hired , the ratio of the number of cooks to the number of waiters changes to 3 to 14 . how many cooks does the restaurant have ? \nOptions: a ) 4 , b ) 6 , c ) 9 , d ) 12 , e ) 15", "output": [ "d" ] }, { "id": "task1421-7672c1690d33490b8f00d1f9aab862b4", "input": "Problem: in the third grade of windblown school there are 90 students , one third of them failed the math test and 1 / 6 failed that literature test . at least how many students failed both tests ? \nOptions: a ) 0 . , b ) 6 . , c ) 8 . , d ) 10 . , e ) 12 .", "output": [ "a" ] }, { "id": "task1421-4ba39852c8cc4b05a5b23497933196aa", "input": "Problem: the cost of 3 pens and 5 pencils is rs . 340 . also the cost of one pen and one pencil is in the ratio of 4 : 1 respectively . what is the cost of one dozen pens ? \nOptions: a ) rs . 960 , b ) rs . 250 , c ) rs . 300 , d ) rs . 150 , e ) none of these", "output": [ "a" ] }, { "id": "task1421-36fc251666234454bad74aa8fb71c4a3", "input": "Problem: the h . c . f . of two numbers is 23 and the other two factors of their l . c . m . are 9 and 10 . the larger of the two numbers is : \nOptions: a ) 276 , b ) 299 , c ) 230 , d ) 345 , e ) 395", "output": [ "c" ] }, { "id": "task1421-305ea814d15943e5914ab0b091719d81", "input": "Problem: in a zoo , the ratio of the number of cheetahs to the number of pandas is 1 : 3 and was the same 5 years ago . if the increase in the number of cheetahs in the zoo since then is 2 , then what is the increase in the number of pandas ? \nOptions: a ) 2 , b ) 3 , c ) 5 , d ) 6 , e ) 15", "output": [ "d" ] }, { "id": "task1421-a3bfc2cd6e6e4270b04f12eb8a388581", "input": "Problem: the monthly incomes of a and b are in the ratio 5 : 2 . b ' s monthly income is 12 % more than c ' s monthly income . if c ' s monthly income is rs . 13000 , then find the annual income of a ? \nOptions: a ) rs . 420000 , b ) rs . 180000 , c ) rs . 436800 , d ) rs . 504000 , e ) none of these", "output": [ "c" ] }, { "id": "task1421-74fa38d17b56473fb1fcccfd8ee286a3", "input": "Problem: a grocery store bought some mangoes at a rate of 5 for a dollar . they were separated into two stacks , one of which was sold at a rate of 3 for a dollar and the other at a rate of for a dollar . what was the ratio of the number of mangoes in the two stacks if the store broke even after having sold all of its mangoes ? \nOptions: a ) 1 : 4 , b ) 16 : 9 , c ) 2 : 3 , d ) 1 : 2 , e ) 2 : 5", "output": [ "b" ] }, { "id": "task1421-a10ebea4213042b2ab00328a044f7752", "input": "Problem: a can contains a mixture of liquids a and b is the ratio 7 : 5 . when 9 litres of mixture are drawn off and the can is filled with b , the ratio of a and b becomes 7 : 9 . how many liter q of liquid a was contained by the can initially ? \nOptions: a ) 10 , b ) 20 , c ) 21 , d ) 25 , e ) 27", "output": [ "c" ] }, { "id": "task1421-241ce4b1f21e48ae9297d2eaf3b2d8b4", "input": "Problem: a certain fraction has the same ratio to 1 / 33 , as 3 / 4 does to 7 / 11 . what is this certain fraction ? \nOptions: a ) 1 / 14 , b ) 1 / 18 , c ) 1 / 21 , d ) 1 / 25 , e ) 1 / 28", "output": [ "e" ] }, { "id": "task1421-56489e585fd146a3acf8f9567ac3ac1a", "input": "Problem: in a certain alphabet , 16 letters contain a dot and a straight line . 30 letters contain a straight line but do not contain a dot . if that alphabet has 50 letters , all of which contain either a dot or a straight line or both , how many letters contain a dot but do not contain a straight line ? \nOptions: a ) 4 , b ) 8 , c ) 12 , d ) 16 , e ) 20", "output": [ "a" ] }, { "id": "task1421-bd2d1bf1bef24b6687e4c502f7c2c409", "input": "Problem: how many prime numbers between 1 and 100 are factors of 7,150 ? \nOptions: a ) one , b ) two , c ) three , d ) four , e ) five", "output": [ "d" ] }, { "id": "task1421-7d99bbc8c9c24c48a41a7f35f73a744f", "input": "Problem: the ratio of three numbers is 5 : 1 : 4 and their sum is 1000 . the last number of the three numbers is ? \nOptions: a ) 24 , b ) 26 , c ) 27 , d ) 400 , e ) 30", "output": [ "d" ] }, { "id": "task1421-b514f197a72b45b3844093a52011f0c0", "input": "Problem: find the fraction which has the same ratio to 2 / 6 that 3 / 4 has to 1 / 2 \nOptions: a ) 1 / 2 , b ) 2 / 5 , c ) 6 / 8 , d ) 9 / 4 , e ) 7 / 5", "output": [ "a" ] }, { "id": "task1421-d85030745e9b48dd9a09d7a09c378e57", "input": "Problem: a bag holds 4 red marbles and 3 green marbles . if you removed two randomly selected marbles from the bag , without replacement , what is the probability that both would be red ? \nOptions: a ) 4 / 14 , b ) 1 / 5 , c ) 3 / 10 , d ) 2 / 5 , e ) 1 / 2", "output": [ "a" ] }, { "id": "task1421-529e4ba5b7a14e2aa02b41fa15fdac43", "input": "Problem: susan finds that she spends her free time during summer vacation between swimming , reading , and hanging out with friends in a ratio of 1 : 4 : 10 . how many hours did she spend reading if she hung out with her friends for 20 hours ? \nOptions: a ) 2 , b ) 4 , c ) 5 , d ) 8 , e ) 10", "output": [ "d" ] }, { "id": "task1421-c198ade74c1341eb9616fd5056f446e8", "input": "Problem: how many different positive integers are factors of 256 ? \nOptions: a ) 4 , b ) 6 , c ) 8 , d ) 16 , e ) 18", "output": [ "d" ] }, { "id": "task1421-4bf35237c8e14cb0b80e37196561fb5e", "input": "Problem: the hcf of two numbers is 52 and the other two factors of their lcm are 11 and 12 . what is the largest number . \nOptions: a ) 624 , b ) 450 , c ) 480 , d ) 504 , e ) 555", "output": [ "a" ] }, { "id": "task1421-812dd5279a724cad82beaca8cc9ca851", "input": "Problem: a bag contains 12 red marbles . if someone were to remove 2 marbles from the bag , one at a time , and replace the first marble after it was removed , the probability that neither marble would be red is 9 / 16 . how many marbles are in the bag ? \nOptions: a ) 48 , b ) 24 , c ) 60 , d ) 72 , e ) 84", "output": [ "a" ] }, { "id": "task1421-c43712cf14894255a5ed92ca5191eccf", "input": "Problem: sandy is younger than molly by 16 years . if the ratio of their ages is 7 : 9 , how old is sandy ? \nOptions: a ) 42 , b ) 49 , c ) 56 , d ) 63 , e ) 70", "output": [ "c" ] }, { "id": "task1421-e8158f52b7334bc980a87d79da7f00a3", "input": "Problem: a certain university will select 1 of 4 candidates eligible to fill a position in the mathematics department and 2 of 10 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ? \nOptions: a ) 42 , b ) 70 , c ) 140 , d ) 180 , e ) 315", "output": [ "d" ] }, { "id": "task1421-df58bf79251f4435ad40970e34ffda1b", "input": "Problem: two assembly line inspectors , lauren and steven , inspect widgets as they come off the assembly line . if lauren inspects every fourth widget , starting with the fourth , and steven inspects every third , starting with the third , how many of the 98 widgets produced in the first hour of operation are not inspected by either inspector ? \nOptions: a ) 50 , b ) 52 , c ) 53 , d ) 55 , e ) 56", "output": [ "c" ] }, { "id": "task1421-742cd3106f1f41daa1345825c8db35fb", "input": "Problem: rs . 1581 is divided among a , b and c in the ratio 10 : 15 : 6 . what is the share of b ? \nOptions: a ) 306 , b ) 765 , c ) 700 , d ) 510 , e ) 520", "output": [ "a" ] }, { "id": "task1421-d07dd808a81d4a64a343ba1958f0065f", "input": "Problem: a certain bag contains 60 balls — 22 white , 18 green , 2 yellow , 15 red , and 3 purple . if a ball is to be chosen at random , what is the probability that the ball will be neither red nor purple ? \nOptions: a ) 0.7 , b ) 0.15 , c ) 0.54 , d ) 0.85 , e ) 0.91", "output": [ "a" ] }, { "id": "task1421-0820a569ff8e41f2b5908a46a52f6158", "input": "Problem: a company conducted a survey about its two brands , a and b . x percent of respondents liked product a , ( x – 20 ) percent liked product b , 23 percent liked both products , and 23 percent liked neither product . what is the minimum number w of people surveyed by the company ? \nOptions: a ) 46 , b ) 80 , c ) w . 90 , d ) w . 100 , e ) 200", "output": [ "d" ] }, { "id": "task1421-c3ccf36c65ff45e8b02a5552b29d42d9", "input": "Problem: a certain music store stocks 800 cellos and 600 violas . of these instruments , there are 80 cello - viola pairs , such that a cello and a viola were both made with wood from the same tree ( each tree can make at most one viola and one cello , so there are no pairs other than these 90 ) . if one viola and one cello are chosen at random , what is the probability that the two instruments are made with wood from the same tree ? \nOptions: a ) 3 / 16,000 , b ) 1 / 8,100 , c ) 1 / 600 , d ) 1 / 90 , e ) 2 / 45", "output": [ "c" ] }, { "id": "task1421-f6cc50e8f5f744fa93694ded55284b95", "input": "Problem: sandy is younger than molly by 14 years . if their ages are in the respective ratio of 7 : 9 , how old is molly ? \nOptions: a ) 36 , b ) 45 , c ) 54 , d ) 63 , e ) 72", "output": [ "d" ] }, { "id": "task1421-bbdef81234154503918b31e5857f31af", "input": "Problem: of the people who responded to a market survey , 360 preferred brand x and the rest preferred brand y . if the respondents indicated a preference for brand x over brand y by ratio of 9 to 1 , how many people responded to the survey ? \nOptions: a ) 80 , b ) 160 , c ) 240 , d ) 360 , e ) 400", "output": [ "e" ] }, { "id": "task1421-eac1c89b1c2b4860afbed4ffeb4b0c2f", "input": "Problem: the value of log 5 ( 1 / 125 ) is : \nOptions: a ) 3 , b ) - 3 , c ) 1 / 3 , d ) - 1 / 3 , e ) none of these", "output": [ "b" ] }, { "id": "task1421-a5aad567272c45e4a7fd158e20b88c4c", "input": "Problem: a pet store holds cats and dogs . if the difference between the number of cats and the number of dogs is 7 . what could be the ratio of cats to dogs in the pet store ? \nOptions: a ) 1 : 3 , b ) 1 : 4 , c ) 28 : 35 , d ) 2 : 5 , e ) 4 : 6", "output": [ "c" ] }, { "id": "task1421-5b24016b72ae4f25964df258f688a48c", "input": "Problem: the weights of one liter vegetable ghee packet of two brands ‘ a ’ and ‘ b ’ are 900 gm and 750 gm respectively . if they are mixed in the ratio of 3 : 2 by volumes to form a mixture of 4 liters , what is the weight ( in kg ) of the mixture ? \nOptions: ['a ) 3.84', 'b ) 1.75', 'c ) 3.36', 'd ) 2.72', 'e ) none of these']", "output": [ "c" ] }, { "id": "task1421-65a1f42a75b14057aeece1e3e86bcd10", "input": "Problem: in a class of 38 students 26 play football and play 20 long tennis , if 17 play above , many play neither ? \nOptions: a ) 6 , b ) 8 , c ) 9 , d ) 12 , e ) 14", "output": [ "c" ] }, { "id": "task1421-25ecc56fb30b4ec69cb42b513ee3c4a0", "input": "Problem: find the common factors of 15 and 18 . \nOptions: a ) 50 , b ) 55 , c ) 60 , d ) 70 , e ) 90", "output": [ "e" ] }, { "id": "task1421-afa832bfaeb5430081eff16208eb7a92", "input": "Problem: if shares of two persons in profits are rs . 600 and rs . 300 then ratio of their capitals is \nOptions: a ) 3 : 4 , b ) 2 : 3 , c ) 4 : 3 , d ) 1 : 3 , e ) 2 : 1", "output": [ "e" ] }, { "id": "task1421-2b012f099b0e48a28619816d52848f9c", "input": "Problem: in a class total 34 students , 16 are have a brother , 15 are have sisters , 9 students do n ' t have either brothers or sisters . find the number of students having both brother and sisters . \nOptions: a ) 4 , b ) 5 , c ) 6 , d ) 7 , e ) 8", "output": [ "c" ] }, { "id": "task1421-99d506ab0e0b4304b027adcbdd9a237e", "input": "Problem: a person want to give his money of $ 5400 to his 3 children a , b , c in the ratio 2 : 3 : 4 . what is the b ' s share ? \nOptions: a ) $ 2000 , b ) $ 1800 , c ) $ 2500 , d ) $ 1500 , e ) $ 1600", "output": [ "b" ] }, { "id": "task1421-30411f2cee1146d8984346adf16dbbfe", "input": "Problem: the ratio of 3 numbers is 5 : 3 : 4 and their sum is 108 . the second number of the 3 numbers is ? \nOptions: a ) 23 , b ) 27 , c ) 30 , d ) 32 , e ) 34", "output": [ "b" ] }, { "id": "task1421-98094e9b5f7546b2ab5be89b7b7bf28b", "input": "Problem: mrs . evans gave a test to her freshmen economics class , which has 29 students enrolled and 24 of them answered question 1 correctly . if 22 answered question 2 correctly and 5 did not take the test then how many answered both questions correctly ? \nOptions: a ) 18 , b ) 19 , c ) 22 , d ) 20 , e ) 19", "output": [ "c" ] }, { "id": "task1421-81a9ebc8bbc24fe6907fd9d3d74e99aa", "input": "Problem: a boy multiplied 987 by a certain number and obtained 559981 as his answer . if in the answer both 9 are wrong and the other digits are correct , then the correct answer would be : \nOptions: a ) 553681 , b ) 555181 , c ) 555681 , d ) 556581 , e ) 556881", "output": [ "c" ] }, { "id": "task1421-c1e82bc3d0ad46ddbd090644209a09f7", "input": "Problem: what is the square root of 9 ? \nOptions: a ) 1 , b ) 3 , c ) 2 , d ) 4 , e ) 9", "output": [ "b" ] }, { "id": "task1421-374d4097c105485e816bc7d27744a6b3", "input": "Problem: the compound ratio of 1 : 3 , 3 : 2 and 4 : 5 ? \nOptions: a ) 1 : 9 , b ) 1 : 7 , c ) 1 : 2 , d ) 2 : 5 , e ) 1 : 4", "output": [ "d" ] }, { "id": "task1421-5f3b7c4baa174f3e88da2ac4e29d22d2", "input": "Problem: a certain telephone company offers two plans , a and b . under plan a , the company charges a total of $ 0.60 for the first 6 minutes of each call and $ 0.06 per minute thereafter . under plan b , the company charges $ 0.08 per minute of each call . what is the duration of a call , in minutes , for which the company charges the same amount under plan a and under plan b ? \nOptions: a ) 12 , b ) 9 , c ) 15 , d ) 21 , e ) 30", "output": [ "a" ] }, { "id": "task1421-f6d2a34691ff4dabb605578179a40c2b", "input": "Problem: 200 liters of a mixture contains milk and water in the ratio 4 : 1 . if 20 liters of this mixture be replaced by 20 liters of milk , the ratio of milk to water in the new mixture would be ? \nOptions: a ) 6 : 1 , b ) 1 : 6 , c ) 2 : 3 , d ) 3 : 2 , e ) 4 : 1", "output": [ "a" ] }, { "id": "task1421-d25aaef1c2f042ddaf9ed536d809a364", "input": "Problem: in a class of 36 students 26 play football and play 20 long tennis , if 17 play above , many play neither ? \nOptions: a ) 7 , b ) 8 , c ) 10 , d ) 12 , e ) 14", "output": [ "a" ] }, { "id": "task1421-6d99e0af4f0e46109578a5dcba3d407f", "input": "Problem: a certain store sold pens for $ 0.35 each and pencils for $ 0.25 each . if a customer purchased both pens and pencils from the store for a total of $ 2.00 , what total number of pens and pencils did the customer purchase ? \nOptions: a ) 6 , b ) 9 , c ) 10 , d ) 11 , e ) 12", "output": [ "a" ] }, { "id": "task1421-dfc050e87a144a958f4eb330fcd2ee02", "input": "Problem: tea worth rs . 126 per kg are mixed with a third variety in the ratio 1 : 1 : 2 . if the mixture is worth rs . 163 per kg , the price of the third variety per kg will be \nOptions: a ) rs . 169.50 , b ) rs . 1700 , c ) rs . 185.50 , d ) rs . 180 , e ) none", "output": [ "c" ] }, { "id": "task1421-5c0212b6aee14817a475aed01199071b", "input": "Problem: a certain store sold pens for $ 0.35 each and pencils for $ 0.25 each . if a customer purchased both pens and pencils from the store for a total of $ 1.80 , what total number of pens and pencils did the customer purchase ? \nOptions: a ) 6 , b ) 9 , c ) 10 , d ) 11 , e ) 12", "output": [ "a" ] }, { "id": "task1421-94b7b94a114e429eb32238dee75191fe", "input": "Problem: the present ratio of students to teachers at a certain school is 40 to 1 . if the student enrollment were to increase by 50 students and the number of teachers were to increase by 5 , the ratio of students to teachers would then be 25 to 1 . what is the present number of teachers ? \nOptions: a ) 5 , b ) 8 , c ) 10 , d ) 12 , e ) 15", "output": [ "a" ] }, { "id": "task1421-f2d81f7d14314948bd21e5f746ad0a8e", "input": "Problem: in what ratio should a variety of rice costing rs . 5.5 per kg be mixed with another variety of rice costing rs . 8.75 per kg to obtain a mixture costing rs . 7.50 per kg ? \nOptions: a ) 5 / 6 , b ) 5 / 9 , c ) 5 / 1 , d ) 5 / 8 , e ) 7 / 6", "output": [ "d" ] }, { "id": "task1421-e7151b7592704eeea764f5fbf9149499", "input": "Problem: in a certain school , the ratio of boys to girls is 5 to 13 . if there are 128 more girls than boys , how many boys are there ? \nOptions: a ) 27 , b ) 36 , c ) 45 , d ) 72 , e ) 80", "output": [ "e" ] }, { "id": "task1421-1f66aa9dd7b745beb1e3ec2f037390c0", "input": "Problem: if 2 tic equals 3 tacs and 2 tacs equal 7 tocs , what is the ratio of one tic to one toc ? \nOptions: a ) 15 / 2 , b ) 6 / 5 , c ) 21 / 4 , d ) 3 / 10 , e ) 1 / 15", "output": [ "c" ] }, { "id": "task1421-695a3186ce0642fa919f38942e9db0a9", "input": "Problem: the ratio of the two natural numbers is 6 : 5 . if a certain number is subtracted to both the numbers , the ratio becomes 5 : 4 . if the larger number exceeds the smaller number by 5 , find the number subtracted ? \nOptions: a ) 8 , b ) 5 , c ) 15 , d ) 22 , e ) 6", "output": [ "b" ] }, { "id": "task1421-712052f4c8064bcbb558181a668426b4", "input": "Problem: a bag contains 4 red , 6 blue and 3 green balls . if 3 balls are picked at random , what is the probability that both are blue ? \nOptions: a ) 11 / 144 , b ) 12 / 455 , c ) 10 / 143 , d ) 11 / 125 , e ) 14 / 368", "output": [ "c" ] }, { "id": "task1421-6f428acf495c473ab7856eadbdde3258", "input": "Problem: if 50 % of the 880 students at a certain college are enrolled in biology classes , how many students at the college are not enrolled in a biology class ? \nOptions: a ) 560 , b ) 540 , c ) 520 , d ) 440 , e ) 500", "output": [ "d" ] }, { "id": "task1421-2f8a2b2e2778424c9f6c35ef86e24f13", "input": "Problem: a starts business with rs . 35000 and after 5 months , b joins with a as his partner . after a year , the profit is divided in the ratio 2 : 3 . what is b ’ s contribution in the capital ? \nOptions: a ) 22378 , b ) 279889 , c ) 2788 , d ) 9000 , e ) 2882", "output": [ "d" ] }, { "id": "task1421-d2632b1794024fd49e59e9341e14e467", "input": "Problem: in a group of 650 readers who read science fiction or literacy works or both , 250 read science fiction and 550 read literacy works . how many read both science fiction and literacy works ? \nOptions: a ) 650 , b ) 250 , c ) 150 , d ) 100 , e ) 400", "output": [ "c" ] }, { "id": "task1421-f86e26e26f3c42089b15e536cc7d2625", "input": "Problem: a ratio between two numbers is 3 : 4 and their l . c . m . is 84 . the first number is \nOptions: a ) 60 , b ) 45 , c ) 21 , d ) 15 , e ) none", "output": [ "c" ] }, { "id": "task1421-39e59e475e8241e69423c773b48447fa", "input": "Problem: 18 balls are numbered 1 to 18 . a ball is drawn and then another ball is drawn without replacement . what is the probability that both balls have even numbers ? \nOptions: a ) 2 / 9 , b ) 4 / 17 , c ) 6 / 29 , d ) 8 / 35 , e ) 10 / 43", "output": [ "b" ] }, { "id": "task1421-4b34eb2938c148cc9b4eb1759c7a6cd0", "input": "Problem: a 40 kg metal bar made of alloy of tin and silver lost 4 kg of its weight in the water . 10 kg of tin loses 1.375 kg in the water ; 5 kg of silver loses 0.375 kg . what is the ratio of tin to silver in the bar ? \nOptions: a ) 1 / 4 , b ) 2 / 5 , c ) 1 / 2 , d ) 3 / 5 , e ) 2 / 3", "output": [ "e" ] }, { "id": "task1421-fafcf70c65824efe851f27e036b00bbf", "input": "Problem: the weights of one liter vegetable ghee packet of two brands ‘ a ’ and ‘ b ’ are 900 gm and 700 gm respectively . if they are mixed in the ratio of 3 : 2 by volumes to form a mixture of 4 liters , what is the weight ( in kg ) of the mixture ? \nOptions: a ) 3.84 , b ) 1.75 , c ) 3.28 , d ) 2.72 , e ) none of these", "output": [ "c" ] }, { "id": "task1421-71f56ed60c5e496397dd5a1542206653", "input": "Problem: a bag contains 6 red , 5 blue and 2 green balls . if 2 ballsare picked at random , what is the probability that both are red ? \nOptions: a ) 2 / 13 , b ) 3 / 17 , c ) 5 / 26 , d ) 5 / 21 , e ) 7 / 15", "output": [ "c" ] }, { "id": "task1421-e960524f5d7e4cbb857a19b80e9e7719", "input": "Problem: the simple form of the ratio 5 / 3 : 2 / 5 is ? \nOptions: a ) 10 : 6 , b ) 10 : 3 , c ) 25 : 6 , d ) 25 : 3 , e ) 30 : 3", "output": [ "c" ] }, { "id": "task1421-1b903106f59a4b3189c43f9671ca75f2", "input": "Problem: the ratio of 2 numbers is 1 : 2 and their h . c . f . is 10 . their l . c . m . is ? \nOptions: a ) 10 , b ) 20 , c ) 30 , d ) 50 , e ) 40", "output": [ "b" ] }, { "id": "task1421-d4ec3756275e42edb3a82f34c27d07c0", "input": "Problem: irin , ingrid and nell bake chocolate chip cookies in the ratio of 9.18 : 5.17 : 2.05 . if altogether they baked a batch of 148 cookies , what percent of the cookies did ingrid bake ? \nOptions: a ) 0.125 % , b ) 1.25 % , c ) 31.7 % , d ) 125 % , e ) 0.152 %", "output": [ "c" ] }, { "id": "task1421-bbe670d07e8d4726815ae5cafa82d63f", "input": "Problem: if log 10 2 = 0.30103 , find the value of log 10 50 \nOptions: a ) 1.69897 , b ) 2.69897 , c ) 1.99897 , d ) 0.69897 , e ) 5.69897", "output": [ "a" ] }, { "id": "task1421-8d6eb36f26634f599dbac30a2d7e92da", "input": "Problem: in a certain pet shop , the ratio of dogs to cats to bunnies in stock is 7 : 7 : 8 . if the shop carries 330 dogs and bunnies total in stock , how many dogs are there ? \nOptions: a ) 42 , b ) 66 , c ) 98 , d ) 112 , e ) 154", "output": [ "e" ] }, { "id": "task1421-b14aa496fc8448d7b81aa69cc4b1dbc6", "input": "Problem: what is the number of integers from 1 to 500 ( inclusive ) that are divisible by neither 10 nor by 15 ? \nOptions: a ) 170 , b ) 250 , c ) 300 , d ) 560 , e ) 420", "output": [ "e" ] }, { "id": "task1421-580ecdcef8534d678e55d809c6ec19b0", "input": "Problem: a bottle contains a certain solution . in the bottled solution , the ratio of water to soap is 3 : 2 , and the ratio of soap to salt is two times this ratio . the solution is poured into an open container , and after some time , the ratio of water to soap in the open container is halved by water evaporation . at that time , what is the ratio of water to salt in the solution ? \nOptions: a ) 1 : 1 , b ) 2 : 3 , c ) 3 : 2 , d ) 9 : 4 , e ) 18 : 8", "output": [ "e" ] }, { "id": "task1421-60786aa3ba564de1a50545058bf44c9d", "input": "Problem: how many multiples of 2 are there between 10 and 100 ( both are inclusive ) ? \nOptions: a ) 2 , b ) 7 , c ) 6 , d ) 46 , e ) 3", "output": [ "d" ] }, { "id": "task1421-2bbf0e9e7b5449648368cf3c46fa34eb", "input": "Problem: the ratio of three numbers is 2 : 3 : 5 and their sum is 150 . the second number of the three numbers is ? \nOptions: a ) 24 , b ) 26 , c ) 27 , d ) 29 , e ) 45", "output": [ "e" ] }, { "id": "task1421-3caa26f6f29c4df99539b30f05d39652", "input": "Problem: the monthly incomes of a and b are in the ratio 5 : 2 . b ' s monthly income is 12 % more than c ' s monthly income . if c ' s monthly income is rs . 14000 , then find the annual income of a ? \nOptions: a ) rs . 420000 , b ) rs . 180000 , c ) rs . 201600 , d ) rs . 470400 , e ) none of these", "output": [ "d" ] }, { "id": "task1421-8101631399b3433788ccfbad6e592bcf", "input": "Problem: find the compound ratio of ( 3 : 2 ) , ( 4 : 3 ) and ( 1 : 4 ) is \nOptions: a ) 1 : 2 , b ) 2 : 3 , c ) 3 : 4 , d ) 4 : 5 , e ) 3 : 2", "output": [ "a" ] }, { "id": "task1421-b9ebfbf15471413faa0a6c53123cc9b4", "input": "Problem: divide rs . 32000 in the ratio 3 : 9 ? \nOptions: a ) 12000 , 20000 , b ) 12000 , 200098 , c ) 12000 , 20007 , d ) 12000 , 20006 , e ) 8000 , 24000", "output": [ "e" ] }, { "id": "task1421-33bee0ef96fa4230993a649eaa948b8e", "input": "Problem: ratio between rahul and deepak is 4 : 3 , after 6 years rahul age will be 22 years . what is deepak present age ? \nOptions: a ) 22 , b ) 15 , c ) 77 , d ) 266 , e ) 12", "output": [ "e" ] }, { "id": "task1421-06f993dfbe11451ab6623ac4379dc143", "input": "Problem: a garrison of 300 men had a provision for 31 days . after 28 days 280 persons re - enforcement leave the garrison . find the number of days for which the remaining ration will be sufficient ? \nOptions: a ) 45 days , b ) 55 days , c ) 35 days , d ) 25 days , e ) 40 days", "output": [ "a" ] }, { "id": "task1421-a584439012954844989dc639ff5ae67c", "input": "Problem: there are 2 available positions and 50 candidates , one half of whom are democrats and another half are republicans . if it was decided that the positions would be filled at random , then what is the probability w that the both positions will be taken by members of just one party ? \nOptions: a ) 1 / 25 , b ) 12 / 49 , c ) 1 / 4 , d ) 24 / 49 , e ) 1 / 2", "output": [ "d" ] }, { "id": "task1421-dd2047d0f4cf4bf9840c454661f3ee95", "input": "Problem: ratio between rahul and deepak is 4 : 3 , after 22 years rahul age will be 26 years . what is deepak present age \nOptions: a ) 10 , b ) 3 , c ) 5 , d ) 7 , e ) 8", "output": [ "b" ] }, { "id": "task1421-7018fa12854d441384c4f0881f46a989", "input": "Problem: a man invests some money partly in 12 % stock at 108 and partly in 10 % stock at 60 . to obtain equal dividends from both , he must invest the money in the ratio : \nOptions: a ) 3 : 4 , b ) 3 : 2 , c ) 4 : 5 , d ) 16 : 15 , e ) none", "output": [ "b" ] }, { "id": "task1421-360371ae48a440af8e2ab1035e8b83c7", "input": "Problem: a survey was taken among 100 brainiacs . of those surveyed , twice as many brainiacs likerebus teasers as math teasers . if 18 brainiacs like both rebus teasers and math teasers and 4 like neither kind of teaser , how many brainiacs like math teasers but not rebus teasers ? \nOptions: a ) 17 , b ) 18 , c ) 19 , d ) 20 , e ) 21", "output": [ "d" ] }, { "id": "task1421-85f42b10d96b46f38bd3289dc878e37c", "input": "Problem: in a school having roll strength 286 , the ratio of boys and girls is 8 : 5 . if 22 more girls get admitted into the school , the ratio of boys and girls becomes \nOptions: ['a ) 12 : 7', 'b ) 10 : 7', 'c ) 8 : 7', 'd ) 4 : 3', 'e ) none']", "output": [ "d" ] }, { "id": "task1421-e1db52249efa4ddca120d76cde2200f7", "input": "Problem: if 0.4 of a number is equal to 0.07 of another number , the ratio of the numbers i \nOptions: a ) 2 : 3 , b ) 7 : 40 , c ) 3 : 20 , d ) 20 : 3 , e ) none", "output": [ "b" ] }, { "id": "task1421-f69500c7dc55435cbfc81fbd4dc77bd2", "input": "Problem: two vessels having volumes in the ratio 3 : 5 are filled with water and milk solutions . the ratio of milk and water in the two vessels are 5 : 1 and 6 : 4 respectively . if the contents of both the vessel are empties into a larger vessel , find the ratio of milk and water in the larger vessel . \nOptions: a ) 12 : 5 , b ) 11 : 5 , c ) 13 : 5 , d ) 14 : 5 , e ) 9 : 5", "output": [ "b" ] }, { "id": "task1421-b7bb650767f44010bc0bdbe82b02cdd4", "input": "Problem: the number of stamps that kaye and alberto had were in the ration of 5 : 3 respectively . after kaye gave alberto 10 of her stamps , the ration of the number of kaye had to the number of alberto had was 3 : 2 . as a result of the gift , kaye had how many more stamps than alberto ? \nOptions: a ) 20 , b ) 30 , c ) 40 , d ) 60 , e ) 80", "output": [ "e" ] }, { "id": "task1421-01a65b9b51334795a90edb815700b6fe", "input": "Problem: a farmer with 1,350 acres of land had planted his fields with corn , sugar cane , and tobacco in the ratio of 5 : 2 : 2 , respectively , but he wanted to make more money , so he shifted the ratio to 2 : 4 : 3 , respectively . how many more acres of land were planted with tobacco under the new system ? \nOptions: a ) 90 , b ) 150 , c ) 270 , d ) 300 , e ) 450", "output": [ "b" ] }, { "id": "task1421-173fa77bfa43473ea935264eb8668955", "input": "Problem: at a garage sale , all of the items were sold at different prices . if the price of a radio sold at the garage sale was both the 15 th highest price and the 22 nd lowest price among the prices of the items sold , how many items were sold at the garage sale ? \nOptions: a ) 34 , b ) 35 , c ) 36 , d ) 37 , e ) 38", "output": [ "c" ] }, { "id": "task1421-99cf7d2e6d9648878d1f934cab3c2023", "input": "Problem: in a ratio which is equal to 3 : 4 , if the antecedent is 12 , then the consequent is ? \nOptions: a ) 12 , b ) 16 , c ) 20 , d ) 22 , e ) 25", "output": [ "b" ] }, { "id": "task1421-2dbd79a4106b406c9fc8fdbed22f56b2", "input": "Problem: in a class of 40 students , 12 enrolled for both english and german . 22 enrolled for german . if the students of the class enrolled for at least one of the two subjects , then how many students enrolled for only english and not german ? \nOptions: a ) 30 , b ) 10 , c ) 18 , d ) 28 , e ) 32", "output": [ "c" ] }, { "id": "task1421-18b99325dd374c439f19c6315505aef4", "input": "Problem: there are two positive numbers in the ratio 7 : 11 . if the larger number exceeds the smaller by 16 , then find the smaller number ? \nOptions: a ) 25 , b ) 26 , c ) 30 , d ) 24 , e ) 28", "output": [ "e" ] }, { "id": "task1421-7c7db44ec47343589a79113fb2b102ef", "input": "Problem: how many zeros does 50 ! end with ? \nOptions: a ) 20 , b ) 24 , c ) 25 , d ) 12 , e ) 32", "output": [ "d" ] }, { "id": "task1421-b599498ab417485989d0ac0234873c4e", "input": "Problem: forks , spoons , and knives in drawer are in the ratio of 4 : 4 : 3 . if there are 16 forks , the number of knives in the drawer is : \nOptions: a ) 8 , b ) 4 , c ) 12 , d ) 16 , e ) 14", "output": [ "c" ] }, { "id": "task1421-9b979044bb984fbabf8c366a0a14d3fa", "input": "Problem: the ratio of the incomes of a and b is 2 : 3 and the ratio of their expenditure is 1 : 2 . if at the end of the year , each saves $ 500 then the income of a is ? \nOptions: a ) $ 1000 , b ) $ 1500 , c ) $ 1200 , d ) $ 900 , e ) $ 1100", "output": [ "a" ] }, { "id": "task1421-c2fb7336cd3f4675af2405e92c6b76c6", "input": "Problem: a starts business with rs . 3500 and after 5 months , b joins with a as his partner . after a year , the profit is divided in the ratio 2 : 3 . what is b ' s contribution in the capital \nOptions: a ) rs 9000 , b ) rs 7000 , c ) rs 5000 , d ) rs 4000 , e ) none of these", "output": [ "a" ] }, { "id": "task1421-c063180ea87544b6bae8d4a1ac8a319d", "input": "Problem: in a class of 87 students 41 are taking french , 22 are taking german . of the students taking french or german , 9 are taking both courses . how many students are not enrolled in either course ? \nOptions: a ) 6 , b ) 15 , c ) 24 , d ) 33 , e ) 54", "output": [ "d" ] }, { "id": "task1421-b5912a79a3ff4b59a1a952ba3406e2d1", "input": "Problem: veena ranks 73 rd from the top in a class of 182 . what is her rank from the bottom if 35 students have failed the examination ? \nOptions: a ) 88 , b ) 108 , c ) 110 , d ) 75 , e ) 93", "output": [ "d" ] }, { "id": "task1421-ab7d36c3e1524e5887fa52939f336644", "input": "Problem: the ratio of buses to cars on river road is 1 to 3 . if there are 20 fewer buses than cars on river road , how many cars are on river road ? \nOptions: a ) 100 , b ) 120 , c ) 140 , d ) 30 , e ) 150", "output": [ "d" ] }, { "id": "task1421-bb3b824ac24a4e42908ad2f5292a8991", "input": "Problem: 10 different biology books and 8 different chemistry books lie on a shelf . in how many ways can a student pick 2 books of each type ? \nOptions: a ) 80 , b ) 160 , c ) 720 , d ) 1100 , e ) 1260", "output": [ "e" ] }, { "id": "task1421-05692d44b39540a0bb639af3f104befb", "input": "Problem: a certain car dealership sells economy cars , luxury cars , and sport utility vehicles . the ratio of economy to luxury cars is 5 : 4 . the ratio of economy cars to sport utility vehicles is 3 : 2 . what is the ratio of luxury cars to sport utility vehicles ? \nOptions: a ) 9 : 8 , b ) 8 : 9 , c ) 6 : 5 , d ) 2 : 3 , e ) 1 : 2", "output": [ "c" ] }, { "id": "task1421-6a3c78d5f2e543338e081ad81eb644ec", "input": "Problem: veena ranks 73 rd from the top in a class of 182 . what is her rank from the bottom if 22 students have failed the examination ? \nOptions: a ) 88 , b ) 108 , c ) 110 , d ) 90 , e ) 93", "output": [ "a" ] }, { "id": "task1421-0ec160ba0de243f6895bfa38f5fc9e36", "input": "Problem: set a consists of the integers from 4 to 15 , inclusive , while set b consists of the integers from 6 to 20 , inclusive . how many distinct integers do belong to the both sets at the same time ? \nOptions: a ) 5 , b ) 7 , c ) 8 , d ) 9 , e ) 10", "output": [ "e" ] }, { "id": "task1421-82089d4f2a54407c82b3f58faa771450", "input": "Problem: the ratio between the number of sheep and the number of horses at the stewar farm is 7 to 7 . if each of horse is fed 230 ounces of horse food per day and the farm needs a total 12880 ounces of horse food per day . what is number sheep in the form ? ? \nOptions: a ) 18 , b ) 28 , c ) 32 , d ) 56 , e ) 58", "output": [ "d" ] }, { "id": "task1421-4f1155fc9266486695c01fdda0c33d65", "input": "Problem: how many zeros does 100 ! end with ? \nOptions: a ) 20 , b ) 24 , c ) 25 , d ) 30 , e ) 32", "output": [ "b" ] }, { "id": "task1421-f8c9d94675364eee86c1596d01c9cfbf", "input": "Problem: find the compound ratio of ( 2 : 3 ) , ( 5 : 3 ) and ( 2 : 5 ) is \nOptions: a ) 1 : 2 , b ) 2 : 3 , c ) 3 : 4 , d ) 4 : 9 , e ) 3 : 2", "output": [ "d" ] }, { "id": "task1421-a67cc001fc8c400cb5ea97282dc3b8bf", "input": "Problem: if 35 % of the 840 students at a certain college are enrolled in biology classes , how many students at the college are not enrolled in a biology class ? \nOptions: a ) 546 , b ) 550 , c ) 555 , d ) 532 , e ) 515", "output": [ "a" ] }, { "id": "task1421-7d2bff963a9649b9999dfb92bf2104d5", "input": "Problem: from a container having pure milk , 20 % is replaced by water and the process is repeated thrice . at the end of the third operation , the milk is ? \nOptions: a ) 45 % , b ) 49.6 % , c ) 51.2 % , d ) 55 % , e ) 60.3 %", "output": [ "c" ] }, { "id": "task1421-7e7b711ff88a44f98a5be218cdbd829d", "input": "Problem: the ratio of boys to girl in a school is 5 : 4 . if there are 1500 boys in the school , how many girls are there ? \nOptions: a ) 300 , b ) 1200 , c ) 1500 , d ) 1800 , e ) 2000", "output": [ "b" ] }, { "id": "task1421-56201c2a2a184381a456349853308c68", "input": "Problem: three numbers are in the ratio 3 : 4 : 5 and their l . c . m is 2400 . their h . c . f is ? \nOptions: a ) 40 , b ) 99 , c ) 88 , d ) 44 , e ) 11", "output": [ "a" ] }, { "id": "task1421-c90f20d4a28a49799bc57272ee0174c5", "input": "Problem: in a college the ratio of the numbers of boys to the girls is 8 : 5 . if there are 120 girls , the total number of students in the college is ? \nOptions: a ) 312 , b ) 356 , c ) 452 , d ) 416 , e ) 512", "output": [ "a" ] }, { "id": "task1421-98ace0c909cc4f71a8aa6870c28eda1d", "input": "Problem: a person want to give his money of $ 2700 to his 3 children a , b , c in the ratio 5 : 6 : 9 . what is the a + c share ? \nOptions: a ) $ 1890 , b ) $ 2002 , c ) $ 3500 , d ) $ 1500 , e ) $ 5640", "output": [ "a" ] }, { "id": "task1421-dfa16c061dfc4f6d975691597282eefd", "input": "Problem: the hcf of two numbers is 62 and the other two factors of their lcm are 11 and 12 . what is the largest number . \nOptions: a ) 462 , b ) 744 , c ) 480 , d ) 504 , e ) 555", "output": [ "b" ] }, { "id": "task1421-614d9db51a694e698326b516c5426090", "input": "Problem: how many days per calendar year is the month a factor of the day \nOptions: a ) 0 , b ) 1 , c ) 59 , d ) 90 , e ) 124", "output": [ "e" ] }, { "id": "task1421-57eafd303dff4cad942cb7b7606ecdaa", "input": "Problem: 14 different biology books and 8 different chemistry books lie on a shelf . in how many ways can a student pick 2 books of each type ? \nOptions: a ) 80 , b ) 160 , c ) 720 , d ) 1100 , e ) 2548", "output": [ "e" ] }, { "id": "task1421-4439cba883984b8fa3189a83fe099fc7", "input": "Problem: the number of stamps that p and q had were in the ratio of 7 : 2 respectively . after p gave q 15 stamps , the ratio of the number of p ' s stamps to the number of q ' s stamps was 2 : 1 . as a result of the gift , p had how many more stamps than q ? \nOptions: a ) 25 , b ) 35 , c ) 45 , d ) 55 , e ) 65", "output": [ "c" ] }, { "id": "task1421-7d77a3e4e7af4e7daa3762ead4a1e9ee", "input": "Problem: if a positive integer n has 211 factors , then how many prime factors does n have ? \nOptions: a ) 3 , b ) 2 , c ) can not be determined , d ) 4 , e ) 1", "output": [ "e" ] }, { "id": "task1421-49b98af1879141d584b1a6aa83b18a84", "input": "Problem: the dimensions of a field are 20 m by 10 m . a pit 8 m long , 5 m wide and 2 m deep is dug in one corner of the field and the earth removed has been evenly spread over the remaining area of the field . what will be the rise in the height of field as a result of this operation ? \nOptions: ['a ) 1 m', 'b ) 2 m', 'c ) 0.5 m', 'd ) 0.75 m', 'e ) 1.5 m']", "output": [ "c" ] }, { "id": "task1421-4fbd8fd33a6e475089d386fc590034da", "input": "Problem: find the fraction which has the same ratio to 2 / 3 that 3 / 5 has to 6 / 7 \nOptions: a ) 1 / 5 , b ) 2 / 22 , c ) 3 / 4 , d ) 7 / 15 , e ) 5 / 6", "output": [ "d" ] }, { "id": "task1421-bad6ee1f4c4d46bf81a03ec9add7202c", "input": "Problem: three numbers are in the ratio 3 : 4 : 5 and their l . c . m . is 600 . their h . c . f is ? \nOptions: a ) 10 , b ) 30 , c ) 40 , d ) 50 , e ) 60", "output": [ "a" ] }, { "id": "task1421-228625b7d06c4ae1b4cb7b67e9432988", "input": "Problem: a bag contains 5 red , 6 blue and 4 green balls . if 2 ballsare picked at random , what is the probability that both are red ? \nOptions: a ) 2 / 15 , b ) 2 / 21 , c ) 5 / 26 , d ) 3 / 29 , e ) 4 / 27", "output": [ "b" ] }, { "id": "task1421-fedc38f352644d19bf03df62c00813c9", "input": "Problem: two vessels contains equal number of mixtures milk and water in the ratio 5 : 2 and 6 : 1 . both the mixtures are now mixed thoroughly . find the ratio of milk to water in the new mixture so obtained ? \nOptions: a ) 1 : 3 , b ) 9 : 13 , c ) 5 : 11 , d ) 11 : 3 , e ) 15 : 4", "output": [ "d" ] }, { "id": "task1421-d023c6b0f7a048108f2d90f8b273b09e", "input": "Problem: 3 numbers are in the ratio 3 : 5 : 7 . the largest number value is 70 . find difference between smallest & largest number is ? \nOptions: a ) 40 , b ) 45 , c ) 35 , d ) 30 , e ) 50", "output": [ "a" ] }, { "id": "task1421-49d7148a32d84f3bb98673b2ef8a720d", "input": "Problem: the ratio of length to width of a rectangular showroom window is 3.3 to 2 . if the width of the window is 8 feet , what is the approximate length of the display in feet ? \nOptions: ['a ) 7', 'b ) 11', 'c ) 13', 'd ) 16', 'e ) 26']", "output": [ "c" ] }, { "id": "task1421-4c8354639d4242f68f2e7975c4cbec84", "input": "Problem: a container holding 12 ounces of a solution that is 1 part alcohol to 2 parts water is added to a container holding 8 ounces of a solution that is 1 part alcohol to 3 parts water . what is the ratio of alcohol to water in the resulting solution ? \nOptions: a ) 2 : 5 , b ) 3 : 7 , c ) 3 : 5 , d ) 4 : 7 , e ) 7 : 3", "output": [ "b" ] }, { "id": "task1421-05dddd3bacc0432a866634012223009b", "input": "Problem: how many trailing zeros will be there after the rightmost non - zero digit in the value of 25 ! ( factorial 25 ) ? \nOptions: a ) 25 , b ) 8 , c ) 6 , d ) 5 , e ) 2", "output": [ "c" ] }, { "id": "task1421-73a3072c81e84f2580df3f96cda9cd8a", "input": "Problem: the ratio of numbers is 4 : 5 and their h . c . f is 4 . their l . c . m is : \nOptions: a ) 80 , b ) 16 , c ) 24 , d ) 48 , e ) 98", "output": [ "a" ] }, { "id": "task1421-0455a68dfeb3466c903e808de915569f", "input": "Problem: x starts a business with rs . 56000 . y joins in the business after 4 months with rs . 44000 . what will be the ratio in which they should share the profit at the end of the year ? \nOptions: a ) 21 : 11 , b ) 11 : 21 , c ) 22 : 23 , d ) 25 : 23 , e ) none of these", "output": [ "a" ] }, { "id": "task1421-51612527e4bf4d798666e6182f17f434", "input": "Problem: there are 30 students in a classroom . the ratio of the # of girls to boys was 1 : 2 , how many boys are there ? \nOptions: a ) 10 , b ) 15 , c ) 20 , d ) 25 , e ) 30", "output": [ "c" ] }, { "id": "task1421-b4eaf2d8dc9946428ce1bdc936133855", "input": "Problem: two assembly line inspectors , lauren and steven , inspect widgets as they come off the assembly line . if lauren inspects every fifth widget , starting with the fifth , and steven inspects every third , starting with the third , how many of the 98 widgets produced in the first hour of operation are not inspected by either inspector ? \nOptions: a ) 91 , b ) 59 , c ) 53 , d ) 47 , e ) 45", "output": [ "c" ] }, { "id": "task1421-a2aac59a6fd243168fb395d20096051f", "input": "Problem: if log 10 2 = 0.3010 , the value of log 10 80 is : \nOptions: a ) 1.5252 , b ) 1.903 , c ) 3.9252 , d ) 3.903 , e ) 2.5252", "output": [ "b" ] }, { "id": "task1421-0a6969832da1441cbedcbb66ec674393", "input": "Problem: what number has a 5 : 1 ratio to the number 9 ? \nOptions: a ) 45 , b ) 50 , c ) 88 , d ) 52 , e ) 12", "output": [ "a" ] }, { "id": "task1421-98939b84402143a596386d125c6c6972", "input": "Problem: he ratio between the sale price and the cost price of an article is 5 : 6 . what is the ratio between the profit and the cost price of that article ? \nOptions: a ) 2 : 6 , b ) 1 : 8 , c ) 1 : 6 , d ) 2 : 1 , e ) 2 : 5", "output": [ "c" ] }, { "id": "task1421-c86bf11d85b8414e9e09682909456e33", "input": "Problem: a can contains a mixture of liquids a and b is the ratio 7 : 5 . when 18 litres of mixture are drawn off and the can is filled with b , the ratio of a and b becomes 7 : 9 . how many liter of liquid a was contained by the can initially ? \nOptions: a ) 32 , b ) 52 , c ) 62 , d ) 42 , e ) 48", "output": [ "d" ] }, { "id": "task1421-44b5d3eb2e1a4d368d6188812f8c65da", "input": "Problem: 200 college students were asked in a survey if they preferred windows or mac brand computers . 70 students claimed that they preferred mac to windows brand computers . one third as many of the students who preferred mac to windows , equally preferred both brands . 80 of the students had no preference . how many of the students in the survey preferred windows to mac brand computers ? \nOptions: a ) 25 , b ) 50 , c ) 57 , d ) 60 , e ) 75", "output": [ "b" ] }, { "id": "task1421-8f0a92b969bb491abd770db6ceb83986", "input": "Problem: the ratio of 2 numbers is 3 : 4 and their h . c . f . is 4 . their l . c . m . is ? \nOptions: a ) 20 , b ) 24 , c ) 48 , d ) 36 , e ) 60", "output": [ "c" ] }, { "id": "task1421-0f8e971a8ddb42f996cfd8f42c5b1708", "input": "Problem: if w is the set of all the integers between 39 and 99 , inclusive , that are either multiples of 3 or multiples of 2 or multiples of both , then w contains how many numbers ? \nOptions: a ) 26 , b ) 32 , c ) 33 , d ) 34 , e ) 40", "output": [ "e" ] }, { "id": "task1421-d5dce31ecf3a451c83ce7242c7c259fe", "input": "Problem: in a class , 10 students like to play basketball and 8 like to play cricket . 4 students like to play on both basketball and cricket . how many students like to play basketball or cricket or both ? \nOptions: a ) 12 , b ) 15 , c ) 16 , d ) 18 , e ) 14", "output": [ "e" ] }, { "id": "task1421-aa4f95b342124a01b9a56b13a1b52f7f", "input": "Problem: divide rs . 32000 in the ratio 1 : 9 ? \nOptions: a ) 12000 , 20000 , b ) 12000 , 200098 , c ) 12000 , 20007 , d ) 3200 , 28800 , e ) 12000 , 20001", "output": [ "d" ] }, { "id": "task1421-fefd63417e3d41cdb8604b186baeb94d", "input": "Problem: bag a contains red , white and blue marbles such that the red to white marble ratio is 1 : 3 and the white to blue marble ratio is 2 : 3 . bag b contains red and white marbles in the ratio of 1 : 4 . together , the two bags contain 20 white marbles . how many red marbles could be in bag a ? \nOptions: a ) 1 , b ) 3 , c ) 4 , d ) 6 , e ) 8", "output": [ "c" ] }, { "id": "task1421-39e86e726a1841549ea95c446cb3aa9a", "input": "Problem: the ratio of 2 numbers is 2 : 7 and their h . c . f . is 18 . their l . c . m . is ? \nOptions: a ) 252 , b ) 243 , c ) 521 , d ) 361 , e ) 600", "output": [ "a" ] }, { "id": "task1421-58d96bd30d464f5fa138a035bc24ddc2", "input": "Problem: in a group of 7 boys and 8 girls , 5 members are to be selected . in how many different ways can they be selected such that at least 3 boys should be there ? \nOptions: a ) 1200 , b ) 1500 , c ) 1281 , d ) 1339 , e ) 1296", "output": [ "c" ] }, { "id": "task1421-aedb4b7ab4c5499bad39e1d78cd3fef4", "input": "Problem: three numbers are in the ratio of 2 : 3 : 4 and their l . c . m . is 276 . what is their h . c . f . ? \nOptions: a ) 18 , b ) 23 , c ) 28 , d ) 32 , e ) 36", "output": [ "b" ] }, { "id": "task1421-c33343aa815646f7ad38bf0e5142a0ab", "input": "Problem: if a student loses 5 kilograms , he will weigh twice as much as his sister . together they now weigh 110 kilograms . what is the student ' s present weight in kilograms ? \nOptions: a ) 71 , b ) 72 , c ) 73 , d ) 74 , e ) 75", "output": [ "e" ] }, { "id": "task1421-a2ac7e6a444d4cb6b659a13caaa20246", "input": "Problem: in a certain kindergarten , every child has got either a dog or a cat or both . 18 children have got dogs only and 6 children have got both dogs and cats . if there are 30 children in the kindergarten , how many of them have cats ? \nOptions: a ) 6 , b ) 12 , c ) 14 , d ) 16 , e ) 20", "output": [ "b" ] }, { "id": "task1421-751344136ca94bd8af03c4f5df6eb906", "input": "Problem: a certain car dealership sells economy cars , luxury cars , and sport utility vehicles . the ratio of economy to luxury cars is 3 : 2 . the ratio of economy cars to sport utility vehicles is 5 : 3 . what is the ratio of luxury cars to sport utility vehicles ? \nOptions: a ) 9 : 8 , b ) 8 : 9 , c ) 3 : 2 , d ) 2 : 3 , e ) 10 : 9", "output": [ "e" ] }, { "id": "task1421-20825919ffe448fa9658177adfd18372", "input": "Problem: ratio between rahul and deepak is 4 : 3 , after 2 years rahul age will be 26 years . what is deepak present age . \nOptions: a ) 14 , b ) 18 , c ) 20 , d ) 22 , e ) 24", "output": [ "b" ] }, { "id": "task1421-ba8cc8c445c54f62829c4464dbc043ad", "input": "Problem: how many of the positive factors of 85 , 105 and how many common factors are there in numbers ? \nOptions: a ) 5 , b ) 4 , c ) 2 , d ) 3 , e ) 1", "output": [ "c" ] }, { "id": "task1421-a1ad10757a7a47a79ea5b3f0eb925999", "input": "Problem: how many of the positive factors of 24 are not factors of 26 \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 1 , e ) 6", "output": [ "e" ] }, { "id": "task1421-5f5eb46ff70440398cce6e982ae57158", "input": "Problem: if both 5 ^ 2 and 3 ^ 3 are factors of n x ( 2 ^ 5 ) x ( 12 ^ 2 ) x ( 7 ^ 3 ) x ( 10 ) , what is the smallest possible positive value of n ? \nOptions: a ) 15 , b ) 45 , c ) 75 , d ) 125 , e ) 150", "output": [ "a" ] }, { "id": "task1421-9f19c6e1b1e147f6be38cdc0e9f847a8", "input": "Problem: if number divisible by both 3 and 2 , then the same number divisible by which number ? \nOptions: a ) 4 , b ) 5 , c ) 8 , d ) 6 , e ) 9", "output": [ "d" ] }, { "id": "task1421-a00d8c8e7bc84689a69ca88d55dedd7b", "input": "Problem: 12 different biology books and 8 different chemistry books lie on a shelf . in how many ways can a student pick 2 books of each type ? \nOptions: a ) 80 , b ) 160 , c ) 720 , d ) 1600 , e ) 1848", "output": [ "e" ] }, { "id": "task1421-3908dc94d3bd46f19e6dcd21d8105d6a", "input": "Problem: the h . c . f and l . c . m of two numbers are 84 and 21 respectively . if the ratio of the two numbers is 1 : 4 , then the larger of the two numbers is : \nOptions: a ) 12 , b ) 24 , c ) 84 , d ) 48 , e ) 42", "output": [ "c" ] }, { "id": "task1421-fa4ad5df088a48e1a1eafbb1f1e50268", "input": "Problem: in the class of 50 students , 30 speak tamil and 40 speak telugu . what is the lowest possible number of students who speak both the languages ? \nOptions: a ) a ) 8 , b ) b ) 10 , c ) c ) 20 , d ) d ) 30 , e ) e ) 32", "output": [ "c" ] }, { "id": "task1421-f4543712a3724ff5bf61ea7214b7e0a2", "input": "Problem: a certain fraction has the same ratio to 1 / 18 , as 2 / 5 does to 7 / 9 . what is this certain fraction ? \nOptions: a ) 1 / 20 , b ) 1 / 25 , c ) 1 / 30 , d ) 1 / 35 , e ) 1 / 40", "output": [ "d" ] }, { "id": "task1421-069f839652d64c848dad644c73bff608", "input": "Problem: 200 pupil total , out of 125 like pizza , 115 like burger , then how many like both ? \nOptions: a ) 40 , b ) 50 , c ) 60 , d ) 70 , e ) 80", "output": [ "a" ] }, { "id": "task1421-8d55add3e14348d0a830d1f546a5d2c8", "input": "Problem: each man in a gang of 100 investors has investments ineither equities or securities or both . exactly 2525 of the investors in equities haveinvestments in securities , exactly 4040 of the investorsin securities have investments inequities . how many have investmentsin equities ? \nOptions: a ) 70 , b ) 80 , c ) 90 , d ) 100 , e ) 120", "output": [ "b" ] }, { "id": "task1421-dbb35ab9f4b3460f931f8982068eb7b3", "input": "Problem: the ratio of the adjacent angles of a parallelogram is 5 : 13 . also , the ratio of the angles of quadrilateral is 5 : 6 : 7 : 12 . what is the sum of the smaller angle of the parallelogram and the second largest angle of the quadrilateral ? \nOptions: a ) 168 ° , b ) 134 ° , c ) 156 ° , d ) 224 ° , e ) none of these", "output": [ "b" ] }, { "id": "task1421-c1087cf4b0a041beb02ec893f02ede35", "input": "Problem: a certain music store stocks 800 cellos and 600 violas . of these instruments , there are 120 cello - viola pairs , such that a cello and a viola were both made with wood from the same tree ( each tree can make at most one viola and one cello , so there are no pairs other than these 90 ) . if one viola and one cello are chosen at random , what is the probability that the two instruments are made with wood from the same tree ? \nOptions: a ) 3 / 16,000 , b ) 1 / 8,000 , c ) 3 / 1,600 , d ) 1 / 90 , e ) 2 / 45", "output": [ "b" ] }, { "id": "task1421-134231d0a82644d59552b5680b0beca5", "input": "Problem: the number of sailors on a ship is 85 % more than the number of officers . the ratio of sailors to officers would be \nOptions: a ) 37 : 20 , b ) 47 : 20 , c ) 47 : 25 , d ) 22 : 25 , e ) 97 : 50", "output": [ "a" ] }, { "id": "task1421-841cdabb73df49049dd2b3a06eca7868", "input": "Problem: of 60 children , 30 are happy , 10 are sad , and 20 are neither happy nor sad . there are 19 boys and 41 girls . if there are 6 happy boys and 4 sad girls , how many boys are neither happy nor sad ? \nOptions: a ) 2 , b ) 7 , c ) 6 , d ) 8 , e ) 10", "output": [ "b" ] }, { "id": "task1421-b8895472554b44df8559967c782465f7", "input": "Problem: the compound ratio of 5 : 7 , 3 : 2 and 4 : 5 ? \nOptions: a ) 1 : 7 , b ) 6 : 5 , c ) 6 : 7 , d ) 4 : 7 , e ) 6 : 9", "output": [ "c" ] }, { "id": "task1421-1cd7458cbdf24ba9bc7e586b9d609ca9", "input": "Problem: in a group of 89 students , 36 are taking history , and 32 are taking statistics . if 59 students are taking history or statistics or both , then how many students are taking history but not statistics ? \nOptions: a ) 9 , b ) 19 , c ) 27 , d ) 26 , e ) 31", "output": [ "c" ] }, { "id": "task1421-390e724c3ec94b6db0bff4f37c12508f", "input": "Problem: in a class of 210 students , 70 did not opt for math . 55 did not opt for science and 42 did not opt for either . how many students of the class opted for both math and science ? \nOptions: a ) 123 , b ) 125 , c ) 127 , d ) 137 , e ) 148", "output": [ "c" ] }, { "id": "task1421-7c763d6c35104d6db112a094570cbc14", "input": "Problem: the ratio of the adjacent angles of a parallelogram is 6 : 9 . also , the ratio of the angles of quadrilateral is 5 : 6 : 7 : 12 . what is the sum of the smaller angle of the parallelogram and the second largest angle of the quadrilateral ? \nOptions: a ) 168 ° , b ) 228 ° , c ) 156 ° , d ) 224 ° , e ) none of these", "output": [ "c" ] }, { "id": "task1421-737e8122aaf94961bef489cc52e02cd2", "input": "Problem: there 3 kinds of books in the library physics , chemistry and biology . ratio of physics to chemistry is 3 to 2 ; ratio of chemistry to biology is 4 to 3 , and the total of the books is more than 3000 . which one of following can be the total r of the book ? \nOptions: a ) 3003 , b ) 3027 , c ) 3024 , d ) 3021 , e ) 3018", "output": [ "a" ] }, { "id": "task1421-3eafbbe2559a4f52b0824e04232a409e", "input": "Problem: at a certain organisation , the number of male members went up by 14 % in the year 2001 from year 2000 , and the number of females members went down by 6 % in the same time period . if the total membership at the organisation went up by 1.2 % from the year 2000 to 2001 , what was the ratio of male members to female members in the year 2000 ? \nOptions: a ) 1 : 2 , b ) 1 : 3 , c ) 2 : 3 , d ) 3 : 2 , e ) 4 : 7", "output": [ "e" ] }, { "id": "task1421-be3ba487d15b4852ab5689b591c95322", "input": "Problem: what number has a 5 : 1 ratio to the number 8 ? \nOptions: a ) 22 , b ) 40 , c ) 88 , d ) 52 , e ) 12", "output": [ "b" ] }, { "id": "task1421-16bac8d15a4b43e4ab9cf9564455da0b", "input": "Problem: if the ratio of apples to bananas is 4 to 3 and the ratio of bananas to cucumbers is 1 to 3 , what is the ratio of apples to cucumbers ? \nOptions: a ) 4 : 9 , b ) 4 : 3 , c ) 3 : 7 , d ) 2 : 5 , e ) 1 : 6", "output": [ "a" ] }, { "id": "task1421-ce3a9eafbe254a0685e62764dd6ad7ac", "input": "Problem: sachin is younger than rahul by 4 years . if their ages are in the respective ratio of 7 : 9 , how old is sachin ? \nOptions: a ) 24.9 , b ) 24.6 , c ) 24.2 , d ) 24.8 , e ) 24.5", "output": [ "e" ] }, { "id": "task1421-cd407c026aa6407d8a9580f0fb80ac3b", "input": "Problem: a garrison of 400 men had a provision for 31 days . after 20 days 180 persons re - enforcement leave the garrison . find the number of days for which the remaining ration will be sufficient ? \nOptions: a ) 65 days , b ) 45 days , c ) 20 days , d ) 16 days , e ) 18 days", "output": [ "c" ] }, { "id": "task1421-f460b82fc7fe4fd89dcb54021ea55af5", "input": "Problem: the compound ratio of 7 : 6 , 3 : 2 and 4 : 5 ? \nOptions: a ) 7 : 5 , b ) 1 : 87 , c ) 1 : 6 , d ) 1 : 9 , e ) 1 : 2", "output": [ "a" ] }, { "id": "task1421-2510507bf1394665a248bfb84f54700c", "input": "Problem: what is the number of integers from 1 to 100 ( inclusive ) that are divisible by neither 5 nor by 6 ? \nOptions: a ) 35 , b ) 47 , c ) 58 , d ) 26 , e ) 34", "output": [ "c" ] }, { "id": "task1421-cd15ecf2a85b44388339e026d4b86ad4", "input": "Problem: each factor of 220 is inscribed on its own plastic ball , and all of the balls are placed in a jar . if a ball is randomly selected from the jar , what is the probability that the ball is inscribed with a multiple of 55 ? \nOptions: a ) 1 / 16 , b ) 5 / 42 , c ) 1 / 8 , d ) 3 / 16 , e ) 1 / 4", "output": [ "e" ] }, { "id": "task1421-3a10b771c344439588515753a1b46b58", "input": "Problem: if a student loses 6 kilograms , he will weigh twice as much as his sister . together they now weigh 126 kilograms . what is the student ' s present weight in kilograms ? \nOptions: a ) 82 , b ) 84 , c ) 86 , d ) 88 , e ) 90", "output": [ "c" ] }, { "id": "task1421-2c5a0705c353449d89fb77d377f175bf", "input": "Problem: the present ratio of students to teachers at a certain school is 50 to 1 . if the student enrollment were to increase by 50 students and the number of teachers were to increase by 5 , the ratio of students to teachers would then be 25 to 1 . what is the present number of teachers ? \nOptions: a ) 3 , b ) 8 , c ) 10 , d ) 12 , e ) 15", "output": [ "a" ] }, { "id": "task1421-d6a45f4ecd6143e18d7728686d253fe5", "input": "Problem: in a sports club with 30 members , 17 play badminton and 19 play tennis and 2 do not play either . how many members play both badminton and tennis ? \nOptions: a ) 3 , b ) 5 , c ) 6 , d ) 7 , e ) 8", "output": [ "e" ] }, { "id": "task1421-cb17af95fc89415d971f5e8f091d6554", "input": "Problem: teas worth rs . 126 per kg and rs . 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2 . if the mixture is worth rs 155 per kg , the price of the third variety per kg will be ? \nOptions: a ) rs . 147.50 , b ) rs . 785.50 , c ) rs . 177.50 , d ) rs . 258.50 , e ) none of these", "output": [ "c" ] }, { "id": "task1421-3a8216f6fcb24511aa99bf1ac3a480ef", "input": "Problem: two integers are in the ratio of 1 to 4 . if 12 is added to the smaller number , the ratio becomes 1 to 2 . find the larger integer . \nOptions: a ) 8 , b ) 16 , c ) 32 , d ) 48 , e ) 54", "output": [ "d" ] }, { "id": "task1421-70ab81b1cdaf4257b5020264c97230ea", "input": "Problem: a salesman sold twice as much pears in the afternoon than in the morning . if he sold 360 kilograms of pears that day , how many kilograms did he sell in the morning and how many in the afternoon ? \nOptions: a ) 560 , b ) 240 , c ) 329 , d ) 443 , e ) 544", "output": [ "b" ] }, { "id": "task1421-1a3d554c561241d0a652372be803f328", "input": "Problem: if 12 ounces of a strong vinegar solution are diluted with 50 ounces of water to form a 7 - percent vinegar solution , what was the concentration of the original solution ? \nOptions: a ) 19.3 % , b ) 17 % , c ) 36.17 % , d ) 15.5 % , e ) 12.5 %", "output": [ "c" ] }, { "id": "task1421-83caf3d5ccd74738906ce2c440fc83d9", "input": "Problem: solution a is 20 % barium and solution b is 80 % barium . if you have 30 ounces of solution a and 60 ounces of solution b , in what ratio could you mix solution a with solution b to produce 50 ounces of a 50 % barium solution ? \nOptions: a ) 6 : 4 , b ) 6 : 14 , c ) 4 : 4 , d ) 4 : 6 , e ) 3 : 7", "output": [ "c" ] }, { "id": "task1421-1bd59722d57843d8b48dde390ef5bee9", "input": "Problem: the ratio of football players , baseball players , soccer players , and basketball players in a school is 10 : 7 : 5 : 4 . how many athletes are in the school if 16 players are on the basketball team ? \nOptions: a ) 40 , b ) 92 , c ) 104 , d ) 208 , e ) 80", "output": [ "c" ] }, { "id": "task1421-81e88e1f4009431dab8304e90c909219", "input": "Problem: which number is a factor of 20 ? \nOptions: a ) 3 , b ) 4 , c ) 7 , d ) 18 , e ) 9", "output": [ "b" ] }, { "id": "task1421-5f4060943f7d4fb6929ef926007414dc", "input": "Problem: tea worth rs . 126 per kg are mixed with a third variety in the ratio 1 : 1 : 2 . if the mixture is worth rs . 143 per kg , the price of the third variety per kg will be \nOptions: a ) rs . 165.50 , b ) rs . 1700 , c ) rs . 175.50 , d ) rs . 180 , e ) none", "output": [ "a" ] }, { "id": "task1421-0001378f994a48f1b65f5871d0d13cd9", "input": "Problem: how many factors does 16 ^ 2 have ? \nOptions: a ) 2 , b ) 8 , c ) 4 , d ) 25 , e ) 26", "output": [ "c" ] }, { "id": "task1421-f2a412dcc10244bba27b401e89ad7565", "input": "Problem: john distributes his pencil among his 4 friends rose , mary , ranjan , and rohit in the ratio 1 / 2 : 1 / 3 : 1 / 4 : 1 / 5 . what is the minimum no . of pencils that the person should have ? \nOptions: a ) 65 , b ) 68 , c ) 70 , d ) 77 , e ) 80", "output": [ "d" ] }, { "id": "task1421-9d82c8510c7c41599722d011f959b597", "input": "Problem: in a class of 60 students 41 are taking french , 22 are taking german . of the students taking french or german , 9 are taking both courses . how many students are not enrolled in either course ? \nOptions: a ) 6 , b ) 15 , c ) 24 , d ) 33 , e ) 54", "output": [ "a" ] }, { "id": "task1421-6ebf895d5411460aacfb8782da3335a9", "input": "Problem: the price of rice is reduced by 2 % . how many kilograms of rice can now be bought for the money which was sufficient to buy 49 kg of rice earlier ? \nOptions: a ) 48 kg , b ) 49 kg , c ) 50 kg , d ) 51 kg , e ) none", "output": [ "c" ] }, { "id": "task1421-d72d9dd02ab8439e974c303f98514c2f", "input": "Problem: a can contains a mixture of liquids a and b is the ratio 7 : 5 . when 9 litres of mixture are drawn off and the can is filled with b , the ratio of a and b becomes 7 : 9 . how many liter of liquid a was contained by the can initially ? \nOptions: a ) 10 , b ) 20 , c ) 21 , d ) 25 , e ) 27", "output": [ "c" ] }, { "id": "task1421-7ea4f89e4ccb4a6ca6b9f5615644f3d7", "input": "Problem: one bacterium splits into 8 bacteria of the next generation . but due to environment , only 50 % of one generation can produced the next generation . if the seventh generation number is 4096 million , what is the number in first generation ? \nOptions: a ) 1 million , b ) 2 million , c ) 4 million , d ) 8 million , e ) none of these", "output": [ "a" ] }, { "id": "task1421-3fb88cc8608246949931ec9fc4586717", "input": "Problem: a bag contains 21 toys numbered 1 to 21 . a toy is drawn and then another toy is drawn without replacement . find the probability that both toys will show even numbers . \nOptions: a ) 5 / 21 , b ) 9 / 42 , c ) 6 / 22 , d ) 4 / 21 , e ) 3 / 21", "output": [ "b" ] }, { "id": "task1421-30092514aadc480f8fb2cddecb152c73", "input": "Problem: in the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30 . in the sport formulation , the ratio of flavoring to corn syrup is 3 times as great as in the standard formulation , and the ratio of flavoring to water is half that of the standard formulation . if a large bottle of the sport formulation contains 2 ounces of corn syrup , how many ounces of water does it contain ? \nOptions: a ) 15 , b ) 30 , c ) 45 , d ) 60 , e ) 90", "output": [ "b" ] }, { "id": "task1421-d0afc1fc60c2407ba4273e95a9721094", "input": "Problem: if both 7 ^ 2 and 3 ^ 3 are factors of the number a * 4 ^ 3 * 6 ^ 2 * 13 ^ 11 , then what is the smallest possible value of a ? \nOptions: a ) 99 , b ) 147 , c ) 363 , d ) 1200 , e ) 1625", "output": [ "b" ] }, { "id": "task1421-8a754b12b12344e19c3751a6ca3113ef", "input": "Problem: the cost of 3 pens and 5 pencils is rs . 260 . also the cost of one pen and one pencil is in the ratio of 5 : 1 respectively . what is the cost of one dozen pens ? \nOptions: a ) rs . 200 , b ) rs . 250 , c ) rs . 300 , d ) rs . 780 , e ) none of these", "output": [ "d" ] }, { "id": "task1421-5abea72d662e4116a5bc31b463f92462", "input": "Problem: teas worth rs . 126 per kg and rs . 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2 . if the mixture is worth rs 153 per kg , the price of the third variety per kg will be ? \nOptions: a ) rs . 147.50 , b ) rs . 785.50 , c ) rs . 175.50 , d ) rs . 258.50 , e ) none of these", "output": [ "c" ] }, { "id": "task1421-9902d5dacce643a7911492eb44eb8bca", "input": "Problem: if shares of two persons in profits are rs . 300 and rs . 500 then ratio of their capitals is \nOptions: a ) 3 : 4 , b ) 3 : 5 , c ) 4 : 3 , d ) 1 : 3 , e ) 1 : 5", "output": [ "b" ] }, { "id": "task1421-b8647dffbc3142b1aadad8fe60852298", "input": "Problem: two numbers are in the ratio 3 : 5 . if 9 is subtracted from each , the new numbers are in the ratio 12 : 23 . the smaller number is : \nOptions: a ) 15 , b ) 33 , c ) 58 , d ) 56 , e ) 91", "output": [ "b" ] }, { "id": "task1421-e531f2634f564b7da591c51c4e43d787", "input": "Problem: if shares of two persons in profits are rs . 300 and rs . 600 then ratio of their capitals is \nOptions: a ) 3 : 4 , b ) 2 : 3 , c ) 4 : 3 , d ) 1 : 3 , e ) 1 : 2", "output": [ "e" ] }, { "id": "task1421-9cdf4d8285764d7aa54e1b4fb43c9079", "input": "Problem: in a certain corporation , there are 300 male employees and 150 female employees . it is known that 10 % of the male employees have advanced degrees and 40 % of the females have advanced degrees . if one of the 450 employees is chosen at random , what is the probability this employee has an advanced degree or is female ? \nOptions: a ) 1 / 5 , b ) 5 / 15 , c ) 6 / 15 , d ) 3 / 10 , e ) 4 / 15", "output": [ "c" ] }, { "id": "task1421-e0fa26bf329348328a9d4b95a94e63ad", "input": "Problem: a certain university will select 1 of 5 candidates eligible to fill a position in the mathematics department and 2 of 8 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ? \nOptions: a ) 138 , b ) 140 , c ) 142 , d ) 145 , e ) 148", "output": [ "b" ] }, { "id": "task1421-495b5584bffe43da9c77400ea4a9a822", "input": "Problem: a cat leaps 6 leaps for every 5 leaps of a dog , but 2 leaps of the dog are equal to 3 leaps of the cat . what is the ratio of the speed of the cat to that of the dog ? \nOptions: a ) 4 : 5 , b ) 2 : 3 , c ) 4 : 1 , d ) 1 : 9 , e ) 3 : 2", "output": [ "a" ] }, { "id": "task1421-42fe3819048a498fa2bc92269eb1332a", "input": "Problem: the ratio of three numbers is 5 : 3 : 4 and their sum is 108 . the second number of the three numbers is ? \nOptions: a ) 23 , b ) 27 , c ) 30 , d ) 32 , e ) 34", "output": [ "b" ] }, { "id": "task1421-33a2c4d4af9149fe96339ce05d658bd8", "input": "Problem: the ratio of the adjacent angles of a parallelogram is 8 : 10 . also , the ratio of the angles of quadrilateral is 5 : 6 : 7 : 12 . what is the sum of the smaller angle of the parallelogram and the second largest angle of the quadrilateral ? \nOptions: a ) 168 ° , b ) 228 ° , c ) 156 ° , d ) 224 ° , e ) 164 °", "output": [ "e" ] }, { "id": "task1421-298326bab4c647e9bfa31f03b819c82d", "input": "Problem: between 100 to 200 how many no are divisible by both 3 and 2 and 100,200 are inclusive ? \nOptions: a ) 77 , b ) 78 , c ) 79 , d ) 80 , e ) 81", "output": [ "c" ] }, { "id": "task1421-46aa79ccde4844c794889fc0ad9574fe", "input": "Problem: find the number of different prime factors of 2400 \nOptions: a ) 4 , b ) 2 , c ) 3 , d ) 5 , e ) 6", "output": [ "c" ] }, { "id": "task1421-d45edcd4a59d4e178c99bb89987a2e39", "input": "Problem: the ratio by weight , measured in pounds , of books to clothes to electronics in a suitcase initially stands at 5 : 4 : 2 . someone removes 7 pounds of clothing from the suitcase , thereby doubling the ratio of books to clothes . how many pounds do the electronics in the suitcase weigh ? \nOptions: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10", "output": [ "b" ] }, { "id": "task1421-4061d4b8771443a6858ea2eb3307ee93", "input": "Problem: in a certain pet shop , the ratio of dogs to cats to bunnies in stock is 3 : 7 : 12 . if the shop carries 375 dogs and bunnies total in stock , how many dogs are there ? \nOptions: a ) 42 , b ) 66 , c ) 75 , d ) 112 , e ) 154", "output": [ "c" ] }, { "id": "task1421-a04be286665845b1b3c7fd7369dead40", "input": "Problem: if w and y are both odd prime numbers and w < y , how many distinct positive integer factors does 2 wy have ? \nOptions: a ) 3 , b ) 4 , c ) 6 , d ) 8 , e ) 12", "output": [ "d" ] }, { "id": "task1421-ec962beafef34c2fae96f35d96831c21", "input": "Problem: the ratio of the number of red cars in a certain parking lot to the number of black cars is 3 to 8 . if there are 75 black cars in the lot , how many red cars are there in the lot ? \nOptions: a ) 11 , b ) 28 , c ) 24 , d ) 29 , e ) 32", "output": [ "b" ] }, { "id": "task1421-72ab151a6ad049d28a28e7e53a80eae5", "input": "Problem: in a group of 6 boys and 4 girls , four children are to be selected . in how many different ways can they be selected ? \nOptions: a ) 159 , b ) 194 , c ) 210 , d ) 209 , e ) 166", "output": [ "c" ] }, { "id": "task1421-78881086261a4e2386df9277b947f1e3", "input": "Problem: water consists of hydrogen and oxygen , and the approximate ratio , by mass , of hydrogen to oxygen is 2 : 16 . approximately how many grams of hydrogen are there in 171 grams of water ? \nOptions: a ) 11 , b ) 13 , c ) 15 , d ) 17 , e ) 19", "output": [ "e" ] }, { "id": "task1421-b0674120957d4b459b5c9ab6c5f6ffad", "input": "Problem: each person in a group of 110 investors has investments in either equities or securities or both . exactly 25 of the investors in equities have investments in securities , and exactly 40 of the investors in securities have investments in equities . how many have investments in equities ? \nOptions: a ) 65 , b ) 80 , c ) 120 , d ) 180 , e ) 190", "output": [ "b" ] }, { "id": "task1421-b0a6172544cd401089e09db9922173d2", "input": "Problem: ratio between rahul and deepak is 4 : 3 , after 10 years rahul age will be 26 years . what is deepak present age . \nOptions: a ) 12 , b ) 15 , c ) 20 , d ) 22 , e ) 24", "output": [ "a" ] }, { "id": "task1421-4345c79aabf94aa7918ab07985ed70d9", "input": "Problem: find the fraction which has the same ratio to 1 / 13 that 5 / 34 has to 7 / 48 . \nOptions: a ) 110 / 1547 , b ) 120 / 1547 , c ) 140 / 1547 , d ) 160 / 1547 , e ) 220 / 1547", "output": [ "b" ] }, { "id": "task1421-42d52a61948440dcb5d6347f12a03dc1", "input": "Problem: a farmer used 1,034 acres of land for beans , wheat , and corn in the ratio of 5 : 2 : 4 , respectively . how many y acres were used for corn ? \nOptions: a ) 188 , b ) 258 , c ) 376 , d ) 470 , e ) 517", "output": [ "c" ] }, { "id": "task1421-6e3b20601f994b8a9cbf8263e5cf82dd", "input": "Problem: half of the workers in palabras bookstore have read the latest book by j . saramago , and 1 / 6 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 42 workers in the palabras bookstore , how many of them have read both books ? \nOptions: a ) 3 , b ) 12 , c ) 9 , d ) 8 , e ) 7", "output": [ "a" ] }, { "id": "task1421-c87a4398a762446a9caa1c8e1e37b747", "input": "Problem: one fast typist type some matter in 2 hrs and another slow typist type the same matter in 3 hrs . if both do combine in how much time they will take to finish . \nOptions: a ) 10 , b ) 11 , c ) 12 , d ) 13 , e ) 14", "output": [ "c" ] }, { "id": "task1421-03cff3510a0d4491bcaae4e2c7ff8959", "input": "Problem: if log 1087.5 = 2.9421 , then the number of digits in ( 875 ) 10 is ? \nOptions: a ) 30 , b ) 28 , c ) 27 , d ) 26 , e ) 40", "output": [ "e" ] }, { "id": "task1421-ede10e88e6bc41d7ba8c1ff2acbb8654", "input": "Problem: there are 15 slate rocks , 20 pumice rocks , and 10 granite rocks randomly distributed in a certain field . if 2 rocks are to be chosen at random and without replacement , what is the probability that both rocks will be slate rocks ? \nOptions: a ) 1 / 3 , b ) 7 / 22 , c ) 1 / 9 , d ) 7 / 66 , e ) 2 / 45", "output": [ "d" ] }, { "id": "task1421-c69ccb19d137461ba39d8645a6072622", "input": "Problem: in what ratio must tea at rs . 60 per kg be mixed with tea at rs . 70 per kg so that the mixture must be worth rs . 67.5 per kg ? \nOptions: a ) 3 : 1 , b ) 3 : 2 , c ) 4 : 3 , d ) 1 : 3 , e ) none", "output": [ "d" ] }, { "id": "task1421-4b5982e6228e4b28bfca4e7f5ff019f6", "input": "Problem: a marketing survey of anytown found that the ratio of trucks to sedans to motorcycles was 3 : 7 : 2 , respectively . given that there are 11,200 sedans in anytown , how many motorcycles are there ? \nOptions: a ) 1260 , b ) 2100 , c ) 3600 , d ) 3200 , e ) 5200", "output": [ "d" ] }, { "id": "task1421-aa7f3b8707e34932b65ef0167ffabeba", "input": "Problem: how many positive factors do 180 and 90 have in common ? \nOptions: a ) 6 , b ) 12 , c ) 16 , d ) 18 , e ) 24", "output": [ "b" ] }, { "id": "task1421-f78631f39d984c5ba7c39ded6f5ff239", "input": "Problem: if 25 % of the 880 students at a certain college are enrolled in biology classes , how many students at the college are not enrolled in a biology class ? \nOptions: a ) 500 , b ) 600 , c ) 620 , d ) 640 , e ) 660", "output": [ "e" ] }, { "id": "task1421-80bd327957c84969955ec7fbd3618cf7", "input": "Problem: a firm is comprised of partners and associates in a ratio of 2 : 61 . if 75 more associates were hired , the ratio of partners to associates would be 4 : 137 . how many partners are currently in the firm ? \nOptions: a ) 12 , b ) 14 , c ) 16 , d ) 18 , e ) 20", "output": [ "e" ] }, { "id": "task1421-d2bc6c58108a46af826abd531bb0e593", "input": "Problem: a certain car dealership sells economy cars , luxury cars , and sport utility vehicles . the ratio of economy to luxury cars is 5 : 3 . the ratio of economy cars to sport utility vehicles is 4 : 3 . what is the ratio of luxury cars to sport utility vehicles ? \nOptions: a ) 12 : 15 , b ) 8 : 9 , c ) 3 : 2 , d ) 2 : 3 , e ) 1 : 2", "output": [ "a" ] }, { "id": "task1421-2810730d8f624788a64709433dadac03", "input": "Problem: if the ratio of a to b is 8 to 3 and the ratio of b to c is 1 to 5 , what is the ratio of a to c ? \nOptions: a ) 8 / 15 , b ) 1 / 3 , c ) 2 / 5 , d ) 4 / 5 , e ) 7 / 6", "output": [ "a" ] }, { "id": "task1421-ec7ab986f2af441693868c5771f4c132", "input": "Problem: the h . c . f . of two numbers is 10 and the other two factors of their l . c . m . are 13 and 14 . the larger of the two numbers is : \nOptions: a ) 100 , b ) 120 , c ) 180 , d ) 140 , e ) 60", "output": [ "d" ] }, { "id": "task1421-315ec72bfe884949a74d8772c14ffb46", "input": "Problem: what is the number of integers from 1 to 1000 ( inclusive ) that are divisible by neither 11 nor by 30 ? \nOptions: a ) 884 , b ) 890 , c ) 892 , d ) 910 , e ) 945", "output": [ "a" ] }, { "id": "task1421-c1d55ece523140f1bc5d501cd9fbc853", "input": "Problem: a starts business with rs . 35,000 and after 5 months , b joins with a as his partner . after a year , the profit is divided in the ratio 2 : 3 . what is b ’ s contribution in the capital ? \nOptions: a ) 22378 , b ) 279889 , c ) 2788 , d ) 9000 , e ) 2882", "output": [ "d" ] }, { "id": "task1421-3063ccd5507749abacfdab817572c93c", "input": "Problem: there are 418 doctors and nurses in a hospital . if the ratio of the doctors to the nurses is 8 : 11 , then how many nurses are there in the hospital ? \nOptions: a ) 152 , b ) 209 , c ) 242 , d ) 171 , e ) 181", "output": [ "c" ] }, { "id": "task1421-8a9fe735cf894f2b80d42f5be471b24d", "input": "Problem: how many positive factors do 120 and 80 have in common ? \nOptions: a ) 8 , b ) 12 , c ) 16 , d ) 18 , e ) 24", "output": [ "a" ] }, { "id": "task1421-804a676eef734f6cafeeda0817153d91", "input": "Problem: bag contains 7 green and 8 white balls . if two balls are drawn simultaneously , the probability that both are of the same colour is - . \nOptions: a ) 7 / 15 , b ) 2 / 8 , c ) 7 / 11 , d ) 13 / 5 , e ) 87", "output": [ "a" ] }, { "id": "task1421-18b87cde49554401a1503494edcc5257", "input": "Problem: if the ratio of a to b is 2 to 3 and the ratio of b to c is 1 to 5 , what is the ratio of a to c ? \nOptions: a ) 4 / 15 , b ) 1 / 3 , c ) 2 / 15 , d ) 4 / 5 , e ) 7 / 6", "output": [ "c" ] }, { "id": "task1421-b12443b23e6943e7b48c337240fd8033", "input": "Problem: the present ratio of students to teachers at a certain school is 35 to 1 . if the student enrollment were to increase by 50 students and the number of teachers were to increase by 5 , the ratio of students to teachers would then be 25 to 1 . what is the present number of teachers ? \nOptions: a ) 5 , b ) 8 , c ) 10 , d ) 12 , e ) 15", "output": [ "b" ] }, { "id": "task1421-c6afa4c8ca064519bedfef5aaeada38a", "input": "Problem: bag a contains red , white and blue marbles such that the red to white marble ratio is 1 : 3 and the white to blue marble ratio is 2 : 3 . bag b contains red and white marbles in the ratio of 1 : 4 . together , the two bags contain 42 white marbles . how many red marbles could be in bag a ? \nOptions: a ) 1 , b ) 3 , c ) 4 , d ) 10 , e ) 12", "output": [ "d" ] }, { "id": "task1421-51b5cd56d57243269f06b3f2f3c74edd", "input": "Problem: the ratio of the arithmetic mean of two numbers to one of the numbers is 4 : 6 . what is the ratio of the smaller number to the larger number ? \nOptions: a ) 1 : 5 , b ) 1 : 4 , c ) 1 : 3 , d ) 1 : 2 , e ) 2 : 3", "output": [ "c" ] }, { "id": "task1421-94268c8e5c244918b32ddfd1ba149526", "input": "Problem: a number is increased by 11 % and then reduced by 10 % . after these operations , the number : \nOptions: a ) does not change , b ) decreases by 1 % , c ) increases by 1 % , d ) increases by 0.1 % , e ) none of these", "output": [ "b" ] }, { "id": "task1421-fe372d2248694a5d87b4382b9e31e78a", "input": "Problem: how many multiples of 5 are there between 1 and 100 ( both are inclusive ) ? \nOptions: a ) 1.2 , b ) 20.8 , c ) 2.3 , d ) 6.7 , e ) 8.2", "output": [ "b" ] }, { "id": "task1421-008ef69971a74a98a6863aa0161d29b5", "input": "Problem: what number has a 4 : 1 ratio to the number 100 ? \nOptions: a ) 40 , b ) 200 , c ) 400 , d ) 800 , e ) 4000", "output": [ "c" ] }, { "id": "task1421-b9a04630b5e74987af8f792c5c9c2941", "input": "Problem: 20 balls are numbered 1 to 20 . a ball is drawn and then another ball is drawn without replacement . what is the probability that both balls have even numbers ? \nOptions: a ) 7 / 30 , b ) 3 / 14 , c ) 9 / 38 , d ) 4 / 21 , e ) 5 / 26", "output": [ "c" ] }, { "id": "task1421-c51217b07c89421d870aebee6884cf00", "input": "Problem: what is the least positive integer that is not a factor of 30 ! and is not a prime number ? \nOptions: a ) 31 , b ) 32 , c ) 33 , d ) 62 , e ) 64", "output": [ "d" ] }, { "id": "task1421-5536ec302a36458c9d84d6a81dc27dea", "input": "Problem: the ratio of number of boys and girls in a school is 1 : 2 . if there are 90 students in the school , find the number of girls in the school ? \nOptions: a ) 45 , b ) 50 , c ) 60 , d ) 75 , e ) 90", "output": [ "c" ] }, { "id": "task1421-3b7e2eb6eb83442aba6f96f86ba59962", "input": "Problem: the compound ratio of 1 : 3 , 1 : 2 and 1 : 5 ? \nOptions: a ) 1 : 30 , b ) 1 : 5 , c ) 1 : 7 , d ) 1 : 1 , e ) 1 : 6", "output": [ "a" ] }, { "id": "task1421-03922b708bf840c89d4782b9a47625b9", "input": "Problem: the h . c . f . of two numbers is 38 and the other two factors of their l . c . m . are 12 and 10 . the larger of the two numbers is : \nOptions: a ) 678 , b ) 456 , c ) 234 , d ) 476 , e ) 432", "output": [ "b" ] }, { "id": "task1421-1a9d040906364290ad63989747ab6c38", "input": "Problem: the monthly incomes of a and b are in the ratio 5 : 2 . b ' s monthly income is 12 % more than c ' s monthly income . if c ' s monthly income is rs . 16000 , then find the annual income of a ? \nOptions: a ) rs . 537600 , b ) rs . 180000 , c ) rs . 201600 , d ) rs . 504000 , e ) none of these", "output": [ "a" ] }, { "id": "task1421-3b85d11e98374a918670a5effa26ec4d", "input": "Problem: the ratio of red balls to blue balls is 3 : 7 . 70 % of the red balls and 30 % of the blue balls are tennis balls . how many of the balls are tennis balls ? \nOptions: a ) 44 % , b ) 40 % , c ) 45 % , d ) 42 % , e ) 48 %", "output": [ "d" ] }, { "id": "task1421-e372508e3e2e46ceb1eecc0b16bde4b2", "input": "Problem: the ratio of the present ages of two friends is 2 : 3 and 6 years back , the ratio was 1 : 3 . what will be the ratio of their ages after 4 years ? \nOptions: a ) 1 : 4 , b ) 3 : 4 , c ) 1 : 2 , d ) 3 : 1 , e ) 3 : 2", "output": [ "b" ] }, { "id": "task1421-3f0cd45fd56b4c61a32abb4aa14a6310", "input": "Problem: in a class of 50 students , 3 / 5 went away do painting , 1 / 5 went to play in the field . how many students are left in the classroom ? \nOptions: a ) 20 , b ) 30 , c ) 5 , d ) 8 , e ) 10", "output": [ "e" ] }, { "id": "task1421-2b10ee8cb63743609d3183d3d5e7aebe", "input": "Problem: the l . c . m . of 2 numbers is 100 . the numbers are in the ratio 4 : 1 . find their product ? \nOptions: a ) 1200 , b ) 2000 , c ) 2500 , d ) 3200 , e ) 1250", "output": [ "c" ] }, { "id": "task1421-d6a61e4afb0740f390a9509c4125461e", "input": "Problem: in a group of 70 people , 60 like swimming , 50 like wrestling . how many like both swimming and wrestling ? \nOptions: a ) 30 , b ) 35 , c ) 40 , d ) 45 , e ) 50", "output": [ "c" ] }, { "id": "task1421-0a5aa249183444cfa528e3b5ae7113b1", "input": "Problem: right now , the ratio between the ages of sandy and molly is 4 : 3 . after 6 years , sandy ’ s age will be 34 years . what is molly ' s age right now ? \nOptions: a ) 12 , b ) 15 , c ) 18 , d ) 21 , e ) 24", "output": [ "d" ] }, { "id": "task1421-7ddd9713aeaf47c38f0005209f4026a0", "input": "Problem: the probability that event a occurs is 0.4 , and the probability that events a and b both occur is 0.25 . if the probability that either event a or event b occurs is 0.8 , what is the probability that event b will occur ? \nOptions: a ) 0.05 , b ) 0.15 , c ) 0.45 , d ) 0.5 , e ) 0.65", "output": [ "e" ] }, { "id": "task1421-3cfd2cff0cb945cda9640db824911f34", "input": "Problem: two numbers are in the ratio of 2 : 3 . if 4 is added in both numbers the ratio becomes 5 : 7 . find the difference between numbers . \nOptions: a ) 8 , b ) 6 , c ) 4 , d ) 2 , e ) 10", "output": [ "a" ] }, { "id": "task1421-4b372feb258b43179f842d92154587ac", "input": "Problem: a bottle contains a certain solution . in the bottled solution , the ratio of water to soap is 3 : 4 , and the ratio of soap to salt is four times this ratio . the solution is poured into an open container , and after some time , the ratio of water to soap in the open container is halved by water evaporation . at that time , what is the ratio of water to salt in the solution ? \nOptions: a ) 3 : 8 , b ) 3 : 9 , c ) 3 : 4 , d ) 3 : 12 , e ) 4 : 12", "output": [ "d" ] }, { "id": "task1421-5c261f78587f4b2c9154f42c8c216cf2", "input": "Problem: if q and d are both integers , q > d , and - 3 q > 19 , then the largest value of d would be ? \nOptions: a ) - 5 , b ) - 6 , c ) - 7 , d ) - 8 , e ) - 10", "output": [ "d" ] }, { "id": "task1421-2a5d10e12dc14c20b868ef96b9fcb049", "input": "Problem: a salesman sold twice as much pears in the afternoon than in the morning . if he sold $ 390 kilograms of pears that day , how many kilograms did he sell in the afternoon ? \nOptions: a ) 120 , b ) 180 , c ) 260 , d ) 280 , e ) 320", "output": [ "c" ] }, { "id": "task1421-b272bdbab33043ee90b98a6eed801ffd", "input": "Problem: a bag holds 3 red marbles and 3 green marbles . if you removed two randomly selected marbles from the bag , without replacement , what is the probability that both would be green ? \nOptions: a ) 1 / 10 , b ) 1 / 6 , c ) 3 / 10 , d ) 1 / 5 , e ) 1 / 2", "output": [ "d" ] }, { "id": "task1421-ec12e2a02344461cb006c6dc905b2d96", "input": "Problem: a number is said to be prime saturated if the product of all the different positive prime factors of a is less than the square root of a . what is the greatest two digit prime saturated integer ? \nOptions: a ) 99 , b ) 98 , c ) 97 , d ) 96 , e ) 95", "output": [ "d" ] }, { "id": "task1421-20e078f591fb4218bc4c566a91943cb0", "input": "Problem: how many odd integers from 1 to 50 ( both inclusive ) have odd number of factors ? \nOptions: a ) 13 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "b" ] }, { "id": "task1421-6f4bb2b0d76a452a88a02377cc7180e3", "input": "Problem: the ratio of boarders to day students at a school was originally 5 to 12 . however , after a number of new boarders join the initial 220 boarders , the ratio changed to 1 to 2 . if no boarders became day students and vice versa , and no students left the school , how many new boarders joined the school ? \nOptions: a ) 44 , b ) 64 , c ) 70 , d ) 80 , e ) 84", "output": [ "a" ] }, { "id": "task1421-909bd994132040e78914128ac4b4532c", "input": "Problem: an alloy of zinc and copper contains the metals in the ratio 5 : 3 . the quantity of zinc to be added to 6 kg of the alloy so that the ratio of the metal may be 3 : 1 is : \nOptions: a ) 2 , b ) 9 , c ) 8 , d ) 7 , e ) 4", "output": [ "c" ] }, { "id": "task1421-937f07ddc6c740649e3c7acc9b58a963", "input": "Problem: at a wedding reception , 125 guests ate chicken and 75 guests ate beef . if exactly 100 guests ate only one of the two types of meat , how many guests ate both types of meat ? \nOptions: a ) 5 , b ) 100 , c ) 7 , d ) 4 , e ) 50", "output": [ "e" ] }, { "id": "task1421-625b8c67017e46699005bb58babbb2b1", "input": "Problem: the cost of 3 pens and 5 pencils is rs . 150 . also the cost of one pen and one pencil is in the ratio of 5 : 1 respectively . what is the cost of one dozen pens ? \nOptions: a ) rs . 200 , b ) rs . 250 , c ) rs . 300 , d ) rs . 450 , e ) none of these", "output": [ "d" ] }, { "id": "task1421-0d4763e4e8374782ae8ef285de5edba7", "input": "Problem: a number is said to be prime saturated if the product of all the different positive prime factors of g is less than the square root of g . what is the greatest two digit prime saturated integer ? \nOptions: a ) 99 , b ) 98 , c ) 97 , d ) 96 , e ) 95", "output": [ "d" ] }, { "id": "task1421-ab058b817ab941bbb516af6c1d07588e", "input": "Problem: thomas and matt has some money with them in the ratio of 3 : 4 . if their father gives rs . 30 to each of them then the ratio becomes 4 : 5 . what would be the ratio if thomas spend rs . 40 and matt spend rs . 20 from what they have now ? \nOptions: a ) 1 : 2 , b ) 2 : 3 , c ) 3 : 4 , d ) 4 : 5 , e ) 5 : 6", "output": [ "a" ] }, { "id": "task1421-e2ad90caefe44b0d8eee1e8302029895", "input": "Problem: water consists of hydrogen and oxygen , and the approximate ratio , by mass , of hydrogen to oxygen is 2 : 16 . approximately how many grams of hydrogen are there in 117 grams of water ? \nOptions: a ) 7 , b ) 9 , c ) 11 , d ) 13 , e ) 15", "output": [ "d" ] }, { "id": "task1421-11ebbae54e7c4bd69921091e5a106dce", "input": "Problem: in a class of 94 students 41 are taking french , 22 are taking german . of the students taking french or german , 9 are taking both courses . how many students are not enrolled in either course ? \nOptions: a ) 6 , b ) 15 , c ) 24 , d ) 33 , e ) 40", "output": [ "e" ] }, { "id": "task1421-33493e538d0e43439411d821b0822c3f", "input": "Problem: two vessels contains equal number of mixtures milk and water in the ratio 5 : 3 and 6 : 2 . both the mixtures are now mixed thoroughly . find the ratio of milk to water in the new mixture so obtained ? \nOptions: a ) 11 : 5 , b ) 9 : 13 , c ) 5 : 11 , d ) 11 : 3 , e ) 15 : 4", "output": [ "a" ] }, { "id": "task1421-777d9f09ed9541d79e6046855260f481", "input": "Problem: a girl multiplies 987 by a certain number and obtains 559981 as her answer . if in the answer , both 9 ’ s are wrong but the other digits are correct , then the correct answer will be \nOptions: a ) 553681 , b ) 555181 , c ) 555681 , d ) 556581 , e ) none of these", "output": [ "c" ] }, { "id": "task1421-e072bc439c6e4f40ac6ffd697f9ff659", "input": "Problem: if both 5 ^ 2 and 3 ^ 3 are factors of n x ( 2 ^ 5 ) x ( 6 ) x ( 7 ^ 3 ) , what is the smallest possible positive value of n ? \nOptions: a ) 75 , b ) 125 , c ) 145 , d ) 175 , e ) 225", "output": [ "e" ] }, { "id": "task1421-7aa8a46de4d64853b721a0e091629d8b", "input": "Problem: find the compound ratio of ( 2 : 3 ) , ( 6 : 11 ) and ( 11 : 5 ) is \nOptions: a ) 3 : 2 , b ) 2 : 1 , c ) 1 : 2 , d ) 4 : 5 , e ) 2 : 3", "output": [ "d" ] }, { "id": "task1421-1b839ec537ec48808ac8a35431c0f299", "input": "Problem: two identical cubes if one of them is painted pink on its 4 side and blue on the remaining two side then how many faces painted pink to other cube so that probability of getting cube is 1 / 3 when we roll both the cube . \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4", "output": [ "a" ] }, { "id": "task1421-39c1b869daba47bebf7501327b56c3e0", "input": "Problem: the weights of one liter vegetable ghee packet of two brands ‘ a ’ and ‘ b ’ are 900 gm and 800 gm respectively . if they are mixed in the ratio of 3 : 2 by volumes to form a mixture of 4 liters , what is the weight ( in kg ) of the mixture ? \nOptions: a ) 3.84 , b ) 1.75 , c ) 3.44 , d ) 2.72 , e ) none of these", "output": [ "c" ] }, { "id": "task1421-d016e16afa7249cb8e1e5c955b496d2d", "input": "Problem: a certain university will select 1 of 7 candidates eligible to fill a position in the mathematics department and 2 of 10 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ? \nOptions: a ) 42 , b ) 70 , c ) 140 , d ) 165 , e ) 315", "output": [ "e" ] }, { "id": "task1421-be5eec4abd5e46d6922d23f0fccb90d7", "input": "Problem: two family reunions are happening at the park avenue hotel , the oates reunion and the hall reunion . all 100 guests at the hotel attend at least one of the reunions . if 40 people attend the oates reunion and 70 people attend the hall reunion , how many people attend both reunions \nOptions: a ) 2 , b ) 5 , c ) 10 , d ) 16 , e ) 22", "output": [ "c" ] }, { "id": "task1421-d36a08b4f94d4aaf800ef9a8faa68c0e", "input": "Problem: in a colony of 70 residents , the ratio of the number of men and women is 4 : 3 . among the women , the ratio of the educated to the uneducated is 1 : 4 . if the ratio of the number of educated to uneducated persons is 8 : 27 , then find the ratio of the number of educated to uneducated men in the colony ? \nOptions: a ) 1 : 7 , b ) 2 : 3 , c ) 1 : 8 , d ) 2 : 3 , e ) 1 : 3", "output": [ "e" ] }, { "id": "task1421-7ce6c2d2c2a8432ea222a6243e312cec", "input": "Problem: in a group of 26 junior high school students , 7 take french , 10 take spanish , and 4 take both languages . the students taking both french and spanish are not counted with the 7 taking french or the 10 taking spanish . how many students are not taking either french or spanish ? \nOptions: a ) 7 , b ) 6 , c ) 5 , d ) 4 , e ) 8", "output": [ "c" ] }, { "id": "task1421-ad9bff4bdbbb4ecc8b8345f70f207d0e", "input": "Problem: ratio between rahul and deepak is 4 : 2 , after 6 years rahul age will be 22 years . what is deepak present age \nOptions: a ) 9 , b ) 3 , c ) 5 , d ) 2 , e ) 7", "output": [ "d" ] }, { "id": "task1421-0d6d24bc3285438b9c25490b54d3133a", "input": "Problem: the ratio of 2 numbers is 2 : 5 and their h . c . f . is 6 . their l . c . m . is ? \nOptions: a ) 20 , b ) 24 , c ) 52 , d ) 36 , e ) 60", "output": [ "e" ] }, { "id": "task1421-75ff95e027484d3c9df97ccb55d19587", "input": "Problem: in a school 10 % of the boys are same in number as 1 / 5 th of the girls . what is the ratio of boys to the girls in the school ? \nOptions: a ) 5 : 2 , b ) 2 : 3 , c ) 1 : 2 , d ) 3 : 7 , e ) 2 : 5", "output": [ "c" ] }, { "id": "task1421-f1f4251aa012410ab808ad468d01de1e", "input": "Problem: the h . c . f . of two numbers is 20 and the other two factors of their l . c . m . are 21 and 23 . the larger of the two numbers is \nOptions: a ) 276 , b ) 299 , c ) 312 , d ) 460 , e ) none", "output": [ "d" ] }, { "id": "task1421-e30da6337b3c417cb10332ac0a0f81be", "input": "Problem: if the ratio of a to b is 5 to 3 and the ratio of b to c is 1 to 5 , what is the ratio of a to c ? \nOptions: a ) 4 / 15 , b ) 1 / 3 , c ) 2 / 5 , d ) 4 / 5 , e ) 7 / 6", "output": [ "b" ] }, { "id": "task1421-ae26c874595047b2b51997984e001bb5", "input": "Problem: the shopkeeper sale , all of the prices of the items sold were different . if the price of a radio sold at the shopkeeper sale was both the 9 th highest price and the 14 th lowest price among the prices of the items sold , how many items were sold at the shopkeeper sale ? \nOptions: a ) 23 , b ) 22 , c ) 32 , d ) 26 , e ) 17", "output": [ "b" ] }, { "id": "task1421-73f643c1927f4bf7b011639d1a6189cb", "input": "Problem: the h . c . f . of two numbers is 23 and the other two factors of their l . c . m . are 13 and 14 . the larger of the two numbers is : \nOptions: a ) 276 , b ) 299 , c ) 322 , d ) 345 , e ) 355", "output": [ "c" ] }, { "id": "task1421-4e03beab4c8143aa8b06a56eb1eccd56", "input": "Problem: if w is the set of all the integers between 49 and 114 , inclusive , that are either multiples of 3 or multiples of 2 or multiples of both , then w contains how many numbers ? \nOptions: a ) 34 , b ) 44 , c ) 45 , d ) 55 , e ) 72", "output": [ "b" ] }, { "id": "task1421-565c5ac723d04d34a641b9f0bf438387", "input": "Problem: two numbers are in the ratio 3 : 5 . if 9 be subtracted from each , they are in the ratio of 9 : 17 . the first number is : \nOptions: a ) 36 , b ) 77 , c ) 88 , d ) 55 , e ) 221", "output": [ "a" ] }, { "id": "task1421-9d53cf4781464f9899fe61611dddb366", "input": "Problem: in what ratio should a variety of wheat costing rs . 3 per kg be mixed with another variety of wheat costing rs . 6.25 per kg to obtain a mixture costing rs . 4.50 per kg ? \nOptions: a ) 8 : 6 , b ) 7 : 6 , c ) 5 : 6 , d ) 7 : 5 , e ) 6 : 7", "output": [ "b" ] }, { "id": "task1421-98f62096c5cf43919c22a9bc01339152", "input": "Problem: the ratio of buses to cars on river road is 1 to 13 . if there are 60 fewer buses than cars on river road , how many cars are on river road ? \nOptions: a ) 65 , b ) 60 , c ) 55 , d ) 40 , e ) 45", "output": [ "a" ] }, { "id": "task1421-9f9b262cd5114fd1a20e9ce491f7ce33", "input": "Problem: ratio between rahul and deepak is 4 : 2 , after 10 years rahul age will be 26 years . what is deepak present age \nOptions: a ) 14 , b ) 15 , c ) 12 , d ) 22 , e ) 8", "output": [ "e" ] }, { "id": "task1421-0fc72409f4944c2999d549335afcb7a3", "input": "Problem: the triplicate ratio of 2 : 3 is ? \nOptions: a ) 1 : 64 , b ) 1 : 62 , c ) 1 : 34 , d ) 8 : 27 , e ) 5 : 64", "output": [ "d" ] }, { "id": "task1421-e06ec132114c4be7930d5ba16c9e1b80", "input": "Problem: there are two positive numbers in the ratio 3 : 11 . if the larger number exceeds the smaller by 32 , then what is the smaller number ? \nOptions: a ) 8 , b ) 11 , c ) 12 , d ) 15 , e ) 17", "output": [ "c" ] }, { "id": "task1421-dd1e143087b849c791a3d7ab7c140027", "input": "Problem: a bag contains 3 red , 2 blue and 4 green balls . if 2 balls are picked at random , what is the probability that both are red ? \nOptions: a ) 1 / 12 , b ) 1 / 13 , c ) 1 / 14 , d ) 1 / 15 , e ) 1 / 18", "output": [ "a" ] }, { "id": "task1421-cf3c29a5727e4c64815b7df2b57644ed", "input": "Problem: in what ratio should a variety of rice costing rs . 10 per kg be mixed with another variety of rice costing rs . 13.25 per kg to obtain a mixture costing rs . 10.75 per kg ? \nOptions: a ) 2 : 1 , b ) 1 : 2 , c ) 5 : 1 , d ) 4 : 1 , e ) 3 : 1", "output": [ "a" ] }, { "id": "task1421-ee0f69b9ecd24b96b0c9b452eb08f9ea", "input": "Problem: in a sports club with 55 members , 23 play badminton and 29 play tennis and 7 do not play either . how many members play both badminton and tennis ? \nOptions: a ) 3 , b ) 5 , c ) 4 , d ) 7 , e ) 8", "output": [ "c" ] }, { "id": "task1421-03cde71f93234950a4ab2af8f8002a39", "input": "Problem: of 60 children , 30 are happy , 10 are sad , and 20 are neither happy nor sad . there are 16 boys and 44 girls . if there are 6 happy boys and 4 sad girls , how many boys are neither happy nor sad ? \nOptions: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 10", "output": [ "b" ] }, { "id": "task1421-082b6d5191eb405894d5aa4e53ffdc15", "input": "Problem: the ratio between the present ages of a and b is 5 : 3 respectively . the ratio between a ' s age 4 years ago and b ' s age 4 years hence is 1 : 1 . what is the ratio between a ' s age 4 years hence and b ' s age 4 years ago ? \nOptions: a ) 3 : 9 , b ) 3 : 6 , c ) 3 : 1 , d ) 3 : 4 , e ) 3 : 2", "output": [ "c" ] }, { "id": "task1421-3776377032ef4edd82323ee61f59acce", "input": "Problem: the probability that a computer company will get a computer hardware contract is 4 / 5 and the probability that it will not get a software contract is 3 / 5 . if the probability of getting at least one contract is 9 / 10 , what is the probability that it will get both the contracts ? \nOptions: a ) 1 / 8 , b ) 2 / 9 , c ) 3 / 10 , d ) 4 / 11 , e ) 5 / 12", "output": [ "c" ] }, { "id": "task1421-29dff43a1b014a5aab566081e1ece279", "input": "Problem: the ratio of three numbers is 1 : 2 : 4 and the sum of their squares is 4725 . the sum of the numbers is ? \nOptions: ['a ) a ) 10', 'b ) b ) 12', 'c ) c ) 15', 'd ) d ) 14', 'e ) e ) 9']", "output": [ "c" ] }, { "id": "task1421-34101faa760948f59dfa5cb2933f5237", "input": "Problem: the ratio of number of boys and girls in a school is 2 : 5 . if there are 350 students in the school , find the number of girls in the school ? \nOptions: a ) 150 , b ) 250 , c ) 300 , d ) 370 , e ) 280", "output": [ "b" ] }, { "id": "task1421-4ac375e4defd409b930b4c0991406e24", "input": "Problem: sandy is younger than molly by 10 years . if their ages are in the respective ratio of 7 : 9 , how old is molly ? \nOptions: a ) 27 , b ) 36 , c ) 45 , d ) 54 , e ) 63", "output": [ "c" ] }, { "id": "task1421-b9131ba7e2654bf3897b951df31f1af6", "input": "Problem: two numbers are in the ratio 3 : 5 . if 9 be subtracted from each , they are in the ratio of 1 : 2 . the first number is : \nOptions: a ) a ) 27 , b ) b ) 98 , c ) c ) 34 , d ) d ) 35 , e ) e ) 62", "output": [ "a" ] }, { "id": "task1421-f0c15e3570254444a1e885cadf9ff4ca", "input": "Problem: find the first term and the common ratio of a g . p whose fourth term is 250 and seventh term is 31,250 \nOptions: a ) 2 / 5,25 , b ) 4,5 / 2 , c ) 1,16 , d ) 2,5 , e ) 1,5", "output": [ "d" ] }, { "id": "task1421-04c98068134c48f1af319178d9614355", "input": "Problem: a 20 kg metal bar made of alloy of tin and silver lost 2 kg of its weight in the water . 10 kg of tin loses 1.375 kg in the water ; 5 kg of silver loses 0.375 kg . what is the ratio of tin to silver in the bar ? \nOptions: a ) 1 / 4 , b ) 2 / 5 , c ) 1 / 2 , d ) 3 / 5 , e ) 2 / 3", "output": [ "e" ] }, { "id": "task1421-898f25361f3a403f8fa364a249818578", "input": "Problem: 5 % of men have unlisted phone numbers and 4 % of women have unlisted phone numbers . population ratio of men : women in the city of gpuzzles is 4 : 3 . if we select randomly 100 people from the phone directory , can you tell us how many people selected will definitely have unlisted phone numbers ? \nOptions: a ) 0 % , b ) 1 % , c ) 2 % , d ) 3 % , e ) 4 %", "output": [ "a" ] }, { "id": "task1421-950a75f6d5b04931a43f0720c5a7a0ba", "input": "Problem: at present the ratio between the ages of arun and deepak is 2 : 3 . after 5 years , arun ' s age will be 25 years . what is the age of deepak at present ? \nOptions: a ) 20 years , b ) 30 years , c ) 15 years , d ) 25 years , e ) 28 years", "output": [ "b" ] }, { "id": "task1421-e75d20bf2fe9478facde944a0d3a97d6", "input": "Problem: two alloys a and b are composed of two basic elements . the ratios of the compositions of the two basic elements in the two alloys are 5 : 3 and 1 : 1 , respectively . a new alloy x is formed by mixing the two alloys a and b in the ratio 4 : 3 . what is the ratio of the composition of the two basic elements in alloy x ? \nOptions: a ) 1 : 1 , b ) 2 : 3 , c ) 5 : 2 , d ) 4 : 3 , e ) 7 : 9", "output": [ "d" ] }, { "id": "task1421-6bdbdd301acb4d02b7bcf2f8f0c66983", "input": "Problem: nitin ranks 27 th in a class of 89 students . what is rank from the last ? \nOptions: a ) 63 , b ) 65 , c ) 67 , d ) 87 , e ) 89", "output": [ "a" ] }, { "id": "task1421-32c79fcc3b214a05baa2eac4f93024b3", "input": "Problem: the h . c . f . of two numbers is 20 and the other two factors of their l . c . m . are 11 and 15 . the larger of the two numbers is : \nOptions: a ) 276 , b ) 300 , c ) 299 , d ) 322 , e ) 345", "output": [ "b" ] }, { "id": "task1421-f00e2c8f879e4cae8d911f245346da87", "input": "Problem: in a ratio which is equal to 4 : 6 , if the antecedent is 50 , then the consequent is ? \nOptions: a ) 75 , b ) 85 , c ) 64 , d ) 51 , e ) 45", "output": [ "a" ] }, { "id": "task1421-3657d710dcae4c2d9cf70c4a5afebced", "input": "Problem: a certain fruit stand sold apples for $ 0.70 each and bananas for $ 0.60 each . if a customer purchased both apples and bananas from the stand for a total of $ 5.60 , what total number of apples and bananas did the customer purchase ? \nOptions: a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 12", "output": [ "b" ] }, { "id": "task1421-09bc385538a1415899f4cb7a637f5833", "input": "Problem: the ratio of two quantities is 1 to 2 . if each of the quantities is increased by 15 , what is the ratio of these 2 new quantities ? \nOptions: a ) 5 : 6 , b ) 25 : 27 , c ) 15 : 16 , d ) 20 : 21 , e ) it can not be determined from the information given", "output": [ "e" ] }, { "id": "task1421-b0c00a1730894b7fbab132bd1aca06e4", "input": "Problem: of the diplomats attending a summit conference , 25 speak french , 32 do not speak russian , and 20 % of the diplomats speak neither french nor russian . if 10 % of the diplomats speak both languages , then how many diplomats attended the conference ? \nOptions: a ) 72 , b ) 70 , c ) 108 , d ) 120 , e ) 150", "output": [ "b" ] }, { "id": "task1421-e1fb8bba27f2463284b152f0c8bf3cee", "input": "Problem: a consignment of 20 picture tubes contains 5 defectives . two tubes are selected one after the other at random . the probability that both are defective assuming that the first tube is not replaced before drawing the second , would be : \nOptions: a ) 1 / 16 , b ) 1 / 19 , c ) 1 / 4 , d ) 1 / 3 , e ) none of these", "output": [ "b" ] }, { "id": "task1421-717bd49bd641421a881e82322d1e2360", "input": "Problem: what is the units digit of 29 ! + 50 ! + 3 ! + 3 ! ? \nOptions: a ) 0 , b ) 2 , c ) 4 , d ) 6 , e ) 8", "output": [ "b" ] }, { "id": "task1421-a5fa199c1b6442a7a3a62a5a49731abc", "input": "Problem: the cost of 3 pens and 5 pencils is rs . 100 . also the cost of one pen and one pencil is in the ratio of 5 : 1 respectively . what is the cost of one dozen pens ? \nOptions: a ) rs . 200 , b ) rs . 250 , c ) rs . 300 , d ) rs . 150 , e ) none of these", "output": [ "c" ] }, { "id": "task1421-1d85b63ed8804f8694ba10fd2bd99a31", "input": "Problem: bag a contains red , white and blue marbles such that the red to white marble ratio is 1 : 3 and the white to blue marble ratio is 2 : 3 . bag b contains red and white marbles in the ratio of 1 : 4 . together , the two bags contain 48 white marbles . how many red marbles could be in bag a ? \nOptions: a ) 1 , b ) 3 , c ) 4 , d ) 10 , e ) 12", "output": [ "e" ] }, { "id": "task1421-7ad2e3cd36b545a787e324838a4f7871", "input": "Problem: the ratio , by volume , of bleach to detergent to water in a certain solution is 2 : 25 : 100 . the solution will be altered so that the ratio of bleach to detergent is tripled while the ratio of detergent to water is halved . if the altered solution will contain 300 liters of water , how many liters of detergent will it contain ? \nOptions: a ) 40 , b ) 45 , c ) 50 , d ) 75 / 2 , e ) 35", "output": [ "d" ] }, { "id": "task1421-5c32f3797255491fa824520ea4ce5658", "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 \nOptions: a ) 330 , b ) 340 , c ) 350 , d ) 360 , e ) 370", "output": [ "a" ] }, { "id": "task1421-93724202d42547898cdaa120d412a40a", "input": "Problem: the ratio , by volume , of bleach ( b ) to detergent ( d ) to water in a certain solution is 2 : 40 : 100 . the solution will be altered so that the ratio of bleach to detergent is tripled while the ratio of detergent to water is halved . if the altered solution will contain 300 liters of water , how many liters of detergent will it contain ? \nOptions: ['a ) 60', 'b ) 50', 'c ) 40', 'd ) 80', 'e ) 70']", "output": [ "a" ] }, { "id": "task1421-de2353343636489982c4412d93254543", "input": "Problem: if x and y are both odd prime numbers and x < y , how many distinct positive integer e factors does 2 xy have ? \nOptions: a ) 3 , b ) 4 , c ) 6 , d ) 8 , e ) 12", "output": [ "d" ] }, { "id": "task1421-5b091072a2764f16aa11662f2a34bc12", "input": "Problem: of the 90 house in a development , 50 have a two - car garage , 40 have an in - the - ground swimming pool , and 35 have both a two - car garage and an in - the - ground swimming pool . how many houses in the development have neither a two - car garage nor an in - the - ground swimming pool ? \nOptions: a ) 10 , b ) 15 , c ) 20 , d ) 25 , e ) 35", "output": [ "e" ] }, { "id": "task1421-95feb8281ac148e0a9894dc8c9caef7e", "input": "Problem: in a certain neighborhood , there are half as many beige houses as white houses , and 6 times as many white houses as brown houses . what is the ratio of the number of brown houses to the number of beige houses ? \nOptions: a ) 1 : 3 , b ) 1 : 9 , c ) 2 : 5 , d ) 5 : 3 , e ) 6 : 1", "output": [ "a" ] }, { "id": "task1421-8110d72602104f2c95a0a2a10844f4a9", "input": "Problem: a certain company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales were up 7 percent from 1996 . if total revenues from car sales and truck sales in 1997 were up 1 percent from 1996 , what is the ratio of revenue from car sales in 1996 to revenue from truck sales in 1996 ? \nOptions: a ) 1 : 2 , b ) 4 : 5 , c ) 1 : 1 , d ) 3 : 2 , e ) 5 : 3", "output": [ "a" ] }, { "id": "task1421-67812f63e31d47fe8e6a21ce0327482a", "input": "Problem: in a college the ratio of the numbers of boys to the girls is 5 : 7 . if there are 140 girls , the total number of students in the college is ? \nOptions: a ) 200 , b ) 240 , c ) 160 , d ) 250 , e ) 310", "output": [ "b" ] }, { "id": "task1421-982587899ca543638793a24f383d48c5", "input": "Problem: in a college the ratio of the numbers of boys to the girls is 8 : 5 . if there are 210 girls , the total number of students in the college is ? \nOptions: a ) 562 , b ) 356 , c ) 452 , d ) 416 , e ) 546", "output": [ "e" ] }, { "id": "task1421-bf3159b4bc6d42c993c73c52bf4d9461", "input": "Problem: 130 kg of an alloy a is mixed with 160 kg of alloy b . if alloy a has lead and tin in the ratio 2 : 3 and alloy b has tin and copper in the ratio 3 : 4 , then the amount of tin in the new alloy is ? \nOptions: a ) 140.6 kg , b ) 145.3 kg , c ) 146.5 kg , d ) 110.8 kg , e ) 114 kg", "output": [ "c" ] }, { "id": "task1421-797fe2e907054631be104087d996fe1e", "input": "Problem: a marketing firm determined that , of 200 households surveyed , 80 used neither brand k nor brand b soap , 60 used only brand k soap , and for every household that used both brands of soap , 3 used only brand b soap . how many of the 200 households surveyed used both brands of soap ? \nOptions: a ) 15 , b ) 20 , c ) 30 , d ) 40 , e ) 45", "output": [ "d" ] }, { "id": "task1421-814a7114cc46477387e8bd480b895454", "input": "Problem: in a sports club with 27 members , 17 play badminton and 19 play tennis and 2 do not play either . how many members play both badminton and tennis ? \nOptions: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11", "output": [ "e" ] }, { "id": "task1421-eb92e2fb2d2a4374948365fb728f2378", "input": "Problem: solution a is 10 % salt and solution b is 80 % salt . if you have 30 ounces of solution a and 60 ounces of solution b , in what ratio could you mix solution a with solution b to produce 50 ounces of a 50 % salt solution ? \nOptions: a ) 6 : 4 , b ) 6 : 14 , c ) 3 : 4 , d ) 4 : 6 , e ) 3 : 7", "output": [ "c" ] }, { "id": "task1421-6597b5ea31fc491383fd6814d583476f", "input": "Problem: the sum of the numbers is 98 . if the ratio between the first and the second be 2 : 3 and that between the second and third be 5 : 8 , then find the second number ? \nOptions: a ) 24 , b ) 30 , c ) 36 , d ) 42 , e ) 50", "output": [ "b" ] }, { "id": "task1421-78e63fd0f4094fa6be59d991c56c08ae", "input": "Problem: a certain telephone company offers two plans , a and b . under plan a , the company charges a total of $ 0.60 for the first 4 minutes of each call and $ 0.06 per minute thereafter . under plan b , the company charges $ 0.08 per minute of each call . what is the duration of a call , in minutes , for which the company charges the same amount under plan a and under plan b ? \nOptions: a ) 2 , b ) 9 , c ) 15 , d ) 18 , e ) 30", "output": [ "d" ] }, { "id": "task1421-ff4c4f1e440d4acea705a82f50e8d19b", "input": "Problem: the l . c . m of two numbers is 48 . the numbers are in the ratio 2 : 3 . the sum of numbers is : \nOptions: a ) 28 , b ) 30 , c ) 40 , d ) 50 , e ) 60", "output": [ "c" ] }, { "id": "task1421-6913170767c942d58d696e701d37feda", "input": "Problem: how many prime numbers between 1 and 100 are factors of 7150 ? \nOptions: a ) 238 , b ) 100 , c ) 299 , d ) 270 , e ) 111", "output": [ "b" ] }, { "id": "task1421-98decad3bc734f9ca7b816ec99550af1", "input": "Problem: income and expenditure of a person are in the ratio 5 : 4 . if the income of the person is rs . 15000 , then find his savings ? \nOptions: a ) 3600 , b ) 3607 , c ) 3608 , d ) 3602 , e ) 3000", "output": [ "e" ] }, { "id": "task1421-3f1f3be2c9cd432c9d13656584495328", "input": "Problem: the ratio of the number of females to males at a party was 1 : 2 but when 5 females and 5 males left , the ratio became 1 : 3 . how many people were at the party originally ? \nOptions: a ) 26 , b ) 28 , c ) 30 , d ) 32 , e ) 34", "output": [ "c" ] }, { "id": "task1421-9cf1e3cf21ae4359951151c3728ffc02", "input": "Problem: the l . c . m . of 2 numbers is 48 . the numbers are in the ratio 2 : 3 . find their sum ? \nOptions: a ) 36 , b ) 40 , c ) 48 , d ) 32 , e ) 56", "output": [ "b" ] }, { "id": "task1421-7f0ba180d39b4c7b8071cab0515ea6de", "input": "Problem: two dice are rolled . what is the probability that the sum on the top face of both the dice will be greater than 9 ? \nOptions: a ) 3 / 8 , b ) 2 / 3 , c ) 1 / 2 , d ) 1 / 3 , e ) 1 / 6", "output": [ "e" ] }, { "id": "task1421-008be2d0eeb041608896a8795039f10a", "input": "Problem: the h . c . f . of two numbers is 23 and the other two factors of their l . c . m . are 13 and 16 . the larger of the two numbers is : \nOptions: a ) 276 , b ) 299 , c ) 322 , d ) 345 , e ) 368", "output": [ "e" ] }, { "id": "task1421-d7287633d7b04588a4230595d40d5edb", "input": "Problem: a bag contains 10 green and 8 white balls . if two balls are drawn simultaneously , the probability that both are of the same colour is \nOptions: a ) 8 / 15 , b ) 21 / 44 , c ) 3 / 5 , d ) 11 / 15 , e ) 7 / 15", "output": [ "b" ] }, { "id": "task1421-2451f5bcc660462aab895a97ace9ad01", "input": "Problem: a certain manufacturer of cake , muffin , and bread mixes has 100 buyers , of whom 50 purchases cake mix , 40 purchase muffin mix , and 15 purchase both cake mix and muffin mix . if a buyer is to be selected at random from the 100 buyers , what is the probability that the buyer selected will be one who purchases neither cake mix nor muffin mix ? \nOptions: a ) 1 / 10 , b ) 3 / 10 , c ) 1 / 4 , d ) 7 / 10 , e ) 9 / 10", "output": [ "c" ] }, { "id": "task1421-07f395d9c8e34d5cb6de5f59080b3fd5", "input": "Problem: two numbers are in the ratio of 5 : 7 . if 25 be subtracted from each , they are in the ratio of 35 : 59 . find the numbers ? \nOptions: a ) 60,88 , b ) 60,86 , c ) 60,82 , d ) 60,84 , e ) 60,83", "output": [ "d" ] }, { "id": "task1421-7f67d6f1e7ee4ff592ddafea96bdaa57", "input": "Problem: how many different positive integers are factors of 125 ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "b" ] }, { "id": "task1421-f0e9448c86e2490da0826947a9f18755", "input": "Problem: the ratio of the present age of sandy to that of molly is 7 : 2 . twelve years from now , the ratio of the ages of sandy to molly will be 5 : 2 . what was sandy ' s age 6 years ago ? \nOptions: a ) 39 , b ) 45 , c ) 51 , d ) 57 , e ) 63", "output": [ "d" ] }, { "id": "task1421-f663a1d1bd484d16b8c0b2dd8fcc3890", "input": "Problem: the l . c . m . of two numbers is 30 . the numbers are in the ratio 2 : 3 . then sum of the number is : \nOptions: a ) 25 , b ) 32 , c ) 40 , d ) 53 , e ) 54", "output": [ "a" ] }, { "id": "task1421-5ff06f9f2f544a228a263b37dfa919d3", "input": "Problem: 9 log 9 ( 7 ) = ? \nOptions: a ) 1 , b ) 2 , c ) 7 , d ) 4 , e ) 5", "output": [ "c" ] }, { "id": "task1421-d3ec9e88a1d748f8b8f11ea8174e7c44", "input": "Problem: two vessels having volumes in the ratio 3 : 5 are filled with water and milk solutions . the ratio of milk and water in the two vessels are 1 : 2 and 3 : 1 respectively . if the contents of both the vessel are empties into a larger vessel , find the ratio of milk and water in the larger vessel . \nOptions: a ) 18 : 13 , b ) 16 : 13 , c ) 19 : 13 , d ) 14 : 11 , e ) 13 : 11", "output": [ "c" ] }, { "id": "task1421-f87d38904e4444ea82000122e362e73e", "input": "Problem: the weights of one liter vegetable ghee packet of two brands ‘ a ’ and ‘ b ’ are 950 gm and 850 gm respectively . if they are mixed in the ratio of 3 : 2 by volumes to form a mixture of 4 liters , what is the weight ( in kg ) of the mixture ? \nOptions: a ) 3.64 , b ) 1.75 , c ) 3.52 , d ) 2.72 , e ) none of these", "output": [ "a" ] }, { "id": "task1421-ca278951c1864a18b43cafe32439e044", "input": "Problem: the compound ratio of 2 / 3 , 6 / 7 , 1 / 3 and 1 / 8 is given by ? \nOptions: a ) 1 / 49 , b ) 1 / 42 , c ) 1 / 09 , d ) 1 / 77 , e ) 1 / 12", "output": [ "b" ] }, { "id": "task1421-459d50f526d84d1bbb7eab4050ff9674", "input": "Problem: two vessels a and b contain spirit and water in the ratio 5 : 2 and 7 : 6 respectively . find the ratio in which these mixtures be mixed to obtain a new mixture in vessel c containing spirit and water in the ratio 8 : 5 ? \nOptions: a ) 3 : 4 , b ) 4 : 3 , c ) 9 : 7 , d ) 7 : 9 , e ) 8 : 1", "output": [ "d" ] }, { "id": "task1421-cb8e558f81e342f99fbe3d53e7497410", "input": "Problem: for a positive integer n , if 5 ^ n is a factor of 20 ! , but 5 ^ n + 1 is not a factor of 20 ! , what is the value of n ? \nOptions: a ) 4 , b ) 6 , c ) 7 , d ) 8 , e ) 9", "output": [ "a" ] }, { "id": "task1421-ea5a4688f8e24526a8791ef1ffe8fc9e", "input": "Problem: find the ratio in which rice at rs . 7.20 a kg be mixed with rice at rs . 5.70 a kg to produce a mixture worth rs . 6.30 a kg . \nOptions: a ) 1 : 2 , b ) 2 : 3 , c ) 3 : 4 , d ) 3 : 5 , e ) 4 : 5", "output": [ "b" ] }, { "id": "task1421-692b98868b0a41ee9918b9538b5a7a74", "input": "Problem: he ratio between the sale price and the cost price of an article is 5 : 3 . what is the ratio between the profit and the cost price of that article ? \nOptions: a ) 2 : 6 , b ) 2 : 9 , c ) 2 : 4 , d ) 5 : 2 , e ) 2 : 5", "output": [ "d" ] }, { "id": "task1421-11e1bfd3a63848249ac9acbee83632f3", "input": "Problem: a dog takes 5 leaps for every 8 leaps of a hare . if one leap of the dog is equal to 4 leaps of the hare , the ratio of the speed of the dog to that of the hare is : \nOptions: a ) 5 : 8 , b ) 5 : 3 , c ) 5 : 2 , d ) 5 : 9 , e ) 2 : 5", "output": [ "c" ] }, { "id": "task1421-61032aa59e1a4825b8b7ab9d464965f3", "input": "Problem: the triplicate ratio of 1 : 4 is ? \nOptions: a ) 1 : 7 , b ) 1 : 8 , c ) 1 : 3 , d ) 1 : 64 , e ) 1 : 2", "output": [ "d" ] }, { "id": "task1421-e3d1108d4d5145bda6c7df11f5f1beb1", "input": "Problem: if shares of two persons in profits are rs . 400 and rs . 1200 then ratio of their capitals is \nOptions: a ) 3 : 4 , b ) 2 : 3 , c ) 4 : 3 , d ) 1 : 3 , e ) 1 : 2", "output": [ "d" ] }, { "id": "task1421-25f8ad89d88c402b8cfa5128477a41ec", "input": "Problem: how many factors of 270 are odd numbers greater than 1 ? \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 9", "output": [ "e" ] }, { "id": "task1421-221f84a8a0644371a645bd749fa1ab24", "input": "Problem: there are two names given johnson and jones . if one letter is picked from both simultaneously at random , then find the probability that the letter is same ? \nOptions: a ) 24 / 35 , b ) 17 / 35 , c ) 8 / 25 , d ) 6 / 35 , e ) 1 / 25", "output": [ "d" ] }, { "id": "task1421-64fc3ea664534ffeaecf79cc8484671e", "input": "Problem: in assembling a bluetooth device , a factory uses one of two kinds of modules . one module costs $ 15 and the other one , that is cheaper , costs $ 10 . the factory holds a $ 140 worth stock of 13 modules . how many of the modules in the stock are of the cheaper kind ? \nOptions: a ) 20 , b ) 25 , c ) 30 , d ) 11 , e ) 35", "output": [ "d" ] }, { "id": "task1421-f8eba713a240439c81db7dc5ba1848d7", "input": "Problem: in a colony of 50 residents , the ratio of the number of men and women is 3 : 2 . among the women , the ratio of the educated to the uneducated is 1 : 3 . if the ratio of the number of education to uneducated persons is 4 : 6 , then find the ratio of the number of educated and uneducated men in the colony ? \nOptions: a ) 1 : 1 , b ) 3 : 2 , c ) 1 : 3 , d ) 2 : 5 , e ) 5 : 7", "output": [ "a" ] }, { "id": "task1421-b79ff08336a642fcb2a7dfae9bf39915", "input": "Problem: what is the number of integers from 11 to 1010 ( inclusive ) that are divisible by neither 12 nor by 15 ? \nOptions: a ) 565 , b ) 856 , c ) 783 , d ) 590 , e ) 300", "output": [ "b" ] }, { "id": "task1421-9362dbda5d44464eaea1da60cf2c5828", "input": "Problem: there are 190 items that are members of set u . of these items , 49 are members of set b , 59 are not members of either of set a or set b , and 23 are members of both sets a and b . how many of the members of set u are members of set a ? \nOptions: a ) 72 , b ) 85 , c ) 94 , d ) 105 , e ) 108", "output": [ "d" ] }, { "id": "task1421-6f46cfc450b1448795a9b4c4fca65e3a", "input": "Problem: in what ratio must rice of rs . 16 per kg be mixed with rice of rs . 10 per kg so that cost of mixture is rs . 12 per kg ? \nOptions: a ) 2 : 3 , b ) 5 : 8 , c ) 5 : 6 , d ) 3 : 4 , e ) 1 : 2", "output": [ "e" ] }, { "id": "task1421-72ec6299fd334d3abad34d51674c7e17", "input": "Problem: if 30 % of the 880 students at a certain college are enrolled in biology classes , how many students at the college are not enrolled in a biology class ? \nOptions: a ) 620 , b ) 630 , c ) 616 , d ) 600 , e ) 650", "output": [ "c" ] }, { "id": "task1421-78b44be102b749c5a4731a17789cbc86", "input": "Problem: in 50 l can , milk and water in the ratio of 3 : 1 . if the ratio has made 1 : 3 then the quantity of water that has to be added further is ? \nOptions: a ) 100 , b ) 120 , c ) 90 , d ) 80 , e ) 70", "output": [ "a" ] }, { "id": "task1421-b1650c912708447c920fa84f70acd316", "input": "Problem: evaluate 50 ! / 47 ! \nOptions: a ) 102500 , b ) 112584 , c ) 117600 , d ) 118450 , e ) 128450", "output": [ "c" ] }, { "id": "task1421-f750ccfd1ae54d3d99cebb4b62013255", "input": "Problem: how many odd factors does 270 have ? \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 8", "output": [ "b" ] }, { "id": "task1421-903fab1b30be4607a5a4775545d235d0", "input": "Problem: the compound ratio of 2 / 3 , 6 / 7 , 4 / 3 and 1 / 8 is given by ? \nOptions: a ) 2 / 21 , b ) 1 / 48 , c ) 1 / 98 , d ) 1 / 96 , e ) 1 / 68", "output": [ "a" ] }, { "id": "task1421-3715e5e5b6c94d7ea605b6761a2404da", "input": "Problem: on a certain farm the ratio of horses to cows is 6 : 1 . if the farm were to sell 15 horses and buy 15 cows , the ratio of horses to cows would then be 3 : 1 . after the transaction , how many more horses than cows would the farm own ? \nOptions: a ) 40 , b ) 50 , c ) 60 , d ) 70 , e ) 80", "output": [ "d" ] }, { "id": "task1421-e20d984c205348bba9d0993567818ff6", "input": "Problem: how many of the positive factors of 24 are not factors of 27 \nOptions: a ) 2 , b ) 6 , c ) 4 , d ) 1 , e ) 5", "output": [ "b" ] }, { "id": "task1421-4b225711904746ee8244335d8cd75ae1", "input": "Problem: compound x contains elements a and b at an approximate ratio , by weight , of 2 : 10 . approximately how many grams of element b are there in 324 grams of compound x ? \nOptions: a ) 54 , b ) 162 , c ) 250 , d ) 270 , e ) 322", "output": [ "d" ] }, { "id": "task1421-f98039e1c4ba41228574f2b184ace80d", "input": "Problem: the ratio of number of boys and girls in a school is 2 : 7 . if there are 360 students in the school , find the number of girls in the school ? \nOptions: a ) 150 , b ) 250 , c ) 300 , d ) 370 , e ) 280", "output": [ "e" ] }, { "id": "task1421-51885a1be76440d690e7845670891031", "input": "Problem: a pizzeria in castroville creates its own special blend of shredded cheese at a cost of $ 696.05 per kilogram . the blend includes mozzarella , at $ 504.35 per kilogram , and romano cheese , at $ 887.75 per kilogram . if the employees have already shredded 19 kilograms of mozzarella cheese , how many kilograms of romano cheese will they need to shred now ? \nOptions: a ) 19 kg , b ) 13 kg , c ) 10 kg , d ) 23 kg , e ) 15 kg", "output": [ "a" ] }, { "id": "task1421-5ddec669230c497c8111cc3dbd0dd449", "input": "Problem: the number of sailors on a ship is 80 % more than the number of officers . the ratio of sailors to officers would be \nOptions: a ) 33 : 25 , b ) 9 : 5 , c ) 47 : 25 , d ) 22 : 25 , e ) 97 : 50", "output": [ "b" ] }, { "id": "task1421-0b71d04b1af7484980acb0caed0f7713", "input": "Problem: in what ratio mental a at rs . 68 per kg be mixed with another metal at rs . 96 per kg so that cost of alloy ( mixture ) is rs . 80 per kg ? \nOptions: a ) 5 : 8 , b ) 4 : 7 , c ) 4 : 3 , d ) 9 : 5 , e ) 9 : 8", "output": [ "c" ] }, { "id": "task1421-b06b6e67191b4d368d69a4c1104be884", "input": "Problem: a certain high school has 500 students . of these students , 20 are taking music , 20 are taking art , and 10 are taking both music and art . how many students are taking neither music nor art ? \nOptions: a ) 430 , b ) 440 , c ) 450 , d ) 460 , e ) 470", "output": [ "e" ] }, { "id": "task1421-5d6342b4de24447393831a2801a18537", "input": "Problem: what is the square root of 261,121 ? \nOptions: a ) 476 , b ) 489 , c ) 497 , d ) 511 , e ) 524", "output": [ "d" ] }, { "id": "task1421-3ba830bbd1734ee08b95d0d16f79b0a1", "input": "Problem: in a college the ratio of the numbers of boys to the girls is 8 : 5 . if there are 160 girls , the total number of students in the college is ? \nOptions: a ) 562 , b ) 356 , c ) 452 , d ) 416 , e ) 512", "output": [ "d" ] }, { "id": "task1421-415800ad135c4e8a9a1df9e173bd4364", "input": "Problem: in a class of 40 students 26 play football and play 20 long tennis , if 17 play above , many play neither ? \nOptions: a ) 6 , b ) 8 , c ) 10 , d ) 11 , e ) 14", "output": [ "d" ] }, { "id": "task1421-f311ca477c9a4fccb19e650ac5c8bb52", "input": "Problem: in what ratio must tea at rs . 64 per kg be mixed with tea at rs . 74 per kg so that the mixture must be worth rs . 69 per kg ? \nOptions: a ) 1 : 1 , b ) 3 : 2 , c ) 4 : 3 , d ) 5 : 3 , e ) none", "output": [ "a" ] }, { "id": "task1421-438a142e58d24e61a92781b7c7c13e1e", "input": "Problem: in a class of 78 students 41 are taking french , 22 are taking german . of the students taking french or german , 9 are taking both courses . how many students are not enrolled in either course ? \nOptions: a ) 26 , b ) 27 , c ) 24 , d ) 18 , e ) 11", "output": [ "c" ] }, { "id": "task1421-60b1def6cb704689b5d4688b26f16388", "input": "Problem: a jar contains a mixture of ab in the ratio 3 : 2 . when 10 l of mixture is replaced with liquid b , ratio becomes 2 : 3 . how many liters of liquid a was present in mixture initially . \nOptions: a ) 18 , b ) 15 , c ) 16 , d ) 20 , e ) 25", "output": [ "a" ] }, { "id": "task1421-8315cb3d52af49c588f6204c4116ece2", "input": "Problem: in two alloys , copper and tin are related in the ratios of 4 : 1 and 1 : 3 . 10 kg of ist alloy , 16 kg of 2 nd alloy and some pure copper melted together . an alloy obtained in which the ratio of copper and tin was 3 : 2 . find the weight of the new alloy . \nOptions: a ) 34 kg , b ) 35 kg , c ) 36 kg , d ) 30 kg , e ) 32 kg", "output": [ "b" ] }, { "id": "task1421-d550db6cb7ae4defa0fe74c3188436ea", "input": "Problem: in a class of 79 students 41 are taking french , 22 are taking german . of the students taking french or german , 9 are taking both courses . how many students are not enrolled in either course ? \nOptions: a ) 6 , b ) 15 , c ) 25 , d ) 33 , e ) 54", "output": [ "c" ] }, { "id": "task1421-e3a4cedfb74c4ae8ae335ee7d8d21f6c", "input": "Problem: irin , ingrid and nell bake chocolate chip cookies in the ratio of 9.18 : 5.17 : 2.05 . if altogether they baked a batch of 148 cookies , what percent of the cookies did nell bake ? \nOptions: a ) 0.125 % , b ) 1.25 % , c ) 12.5 % , d ) 125 % , e ) 0.152 %", "output": [ "c" ] }, { "id": "task1421-ca0e96eb0f204b889ed193d63a305b6a", "input": "Problem: 100 kg of an alloy a is mixed with 200 kg of alloy b . if alloy a has lead and tin in the ratio 5 : 3 and alloy b has tin and copper in the ratio 2 : 3 , then the amount of tin in the new alloy is ? \nOptions: a ) 100.6 kg , b ) 120.3 kg , c ) 117.5 kg , d ) 110.8 kg , e ) 114 kg", "output": [ "c" ] }, { "id": "task1421-32ed7ebc60d74197998bd270283a3c31", "input": "Problem: the ratio of three numbers is 4 : 2 : 5 and their sum is 121 . the second number of the three numbers is ? \nOptions: a ) 22 , b ) 26 , c ) 27 , d ) 29 , e ) 30", "output": [ "a" ] }, { "id": "task1421-0d90d5050e80400eab7602e5a9e60de7", "input": "Problem: divide rs . 32000 in the ratio 3 : 3 ? \nOptions: a ) 12000 , 20000 , b ) 12000 , 200098 , c ) 16000 , 16000 , d ) 12000 , 20006 , e ) 12000 , 20001", "output": [ "c" ] }, { "id": "task1421-a7a0bd2111574c7eaadb6db20d71dd09", "input": "Problem: the ratio of incomes of two person p 1 and p 2 is 5 : 4 and the ratio of their expenditures is 3 : 2 . if at the end of the year , each saves rs . 1400 , then what is the income of p 1 ? \nOptions: a ) s . 800 , b ) s . 2400 , c ) s . 4000 , d ) s . 3500 , e ) s . 4200", "output": [ "d" ] }, { "id": "task1421-0ccb4058284d40228f8922f12b5014a9", "input": "Problem: in a college , the ratio of the number of boys to girls is 8 : 5 . if there are 400 girls , the total number of students in the college is \nOptions: a ) 1040 , b ) 920 , c ) 980 , d ) 720 , e ) 820", "output": [ "a" ] }, { "id": "task1421-6aae88cd915e4f358e50c6c37383b5a6", "input": "Problem: up to 20 , how many no . are odd and prime both ? \nOptions: a ) 9 , b ) 5 , c ) 6 , d ) 7 , e ) 8", "output": [ "d" ] }, { "id": "task1421-490df79dc3c74637b465dcb23957ec44", "input": "Problem: there are 280 doctors and nurses at a hospital . if the ratio of doctors to nurses is 5 to 9 , how many nurses are at the hospital ? \nOptions: a ) 165 , b ) 170 , c ) 175 , d ) 180 , e ) 185", "output": [ "d" ] }, { "id": "task1421-a39978a3a88e4324afa635cc1d3346ac", "input": "Problem: at the faculty of aerospace engineering , 312 students study random - processing methods , 234 students study scramjet rocket engines and 112 students study them both . if every student in the faculty has to study one of the two subjects , how many students are there in the faculty of aerospace engineering ? \nOptions: a ) 430 , b ) 434 , c ) 438 , d ) 444 , e ) 446", "output": [ "b" ] }, { "id": "task1421-7613d8569517447980316e25dac933d5", "input": "Problem: in a 2000 census , 51.27 % of the population are male , and 48.73 % are female . what is the ratio of men to every 100 women ? \nOptions: a ) 110 : 100 , b ) 105 : 100 , c ) 95 : 100 , d ) 85 : 100 , e ) 120 : 100", "output": [ "b" ] }, { "id": "task1421-dd7139013c50453d9cd0bba0eb235dbb", "input": "Problem: if w is the set of all the integers between 49 and 88 , inclusive , that are either multiples of 3 or multiples of 2 or multiples of both , then w contains how many numbers ? \nOptions: a ) 11 , b ) 44 , c ) 48 , d ) 28 , e ) 26", "output": [ "e" ] }, { "id": "task1421-481b47846bfd4f2fa7f8fe953cac13f6", "input": "Problem: if neha is 10 both sonali and priyanka is 15 both sadaf and tanu is 10 . how much is prinka by the same system ? \nOptions: a ) 8 , b ) 11 , c ) 10 , d ) 15 , e ) 6", "output": [ "c" ] }, { "id": "task1421-87d09ec8908e427e9104857ee02d107b", "input": "Problem: a firm is comprised of partners and associates in a ratio of 2 : 63 . if 45 more associates were hired , the ratio of partners to associates would be 1 : 34 . how many partners are currently in the firm ? \nOptions: a ) 12 , b ) 14 , c ) 16 , d ) 18 , e ) 20", "output": [ "d" ] }, { "id": "task1421-2ee766d4498f4adf991e3c67639c6d2c", "input": "Problem: the ratio of two quantities is 5 : 8 . if each of the quantities is increased by 10 , what is the ratio of the new quantities ? \nOptions: a ) 5 : 8 , b ) 50 : 78 , c ) 2 : 3 , d ) it can not be determined from the information given . , e ) 6 : 7", "output": [ "d" ] }, { "id": "task1421-9db7fab38c5a4cbfa740342f94a52d00", "input": "Problem: a bag contains 5 red , 6 blue and 2 green balls . if 2 ballsare picked at random , what is the probability that both are red ? \nOptions: a ) 1 / 13 , b ) 2 / 23 , c ) 5 / 39 , d ) 4 / 27 , e ) 3 / 23", "output": [ "c" ] }, { "id": "task1421-8a7ad1d53df74366b687c1732736e469", "input": "Problem: in a graduating class of 232 students , 144 took geometry and 119 took biology . what is the difference between the greatest possible number t and the smallest possible number of students that could have taken both geometry and biology ? \nOptions: a ) 144 , b ) 119 , c ) 113 , d ) 88 , e ) 31", "output": [ "d" ] }, { "id": "task1421-129f81c98fbb42cdac8318561822f19c", "input": "Problem: john distributes his pencil among his 4 friends rose , mary , ranjan , and rohit in the ratio 1 / 4 : 1 / 3 : 1 / 4 : 1 / 5 . what is the minimum no . of pencils that the person should have ? \nOptions: a ) 45 , b ) 62 , c ) 70 , d ) 77 , e ) 98", "output": [ "b" ] }, { "id": "task1421-9670e51343ee477282603211202162e2", "input": "Problem: the marks obtained by vijay and amith are in the ratio 4 : 5 and those obtained by amith and abhishek in the ratio of 3 : 2 . the marks obtained by vijay and abhishek are in the ratio o \nOptions: a ) 6 : 5 , b ) 4 : 7 , c ) 3 : 5 , d ) 5 : 7 , e ) 8 : 9", "output": [ "a" ] }, { "id": "task1421-e357d4227280494baf464756838a94a6", "input": "Problem: tea worth rs . 126 per kg and rs . 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2 . if the mixture is worth rs . 153 per kg , the price of the third variety per kg will be : \nOptions: a ) rs . 169.50 , b ) rs . 170 , c ) rs . 175.50 , d ) rs . 180 , e ) rs . 190", "output": [ "c" ] }, { "id": "task1421-9e2776a3aeb24eecb5e38a12b7e83edd", "input": "Problem: in a group of 12 engineers , 4 engineers have a phd degree ; the others have only an ms or bs degree . a team of 4 engineers is to be chosen which must have at least 1 engineer with a phd , how many different teams can be chosen ? \nOptions: a ) 495 , b ) 70 , c ) 245 , d ) 425 , e ) 555", "output": [ "d" ] }, { "id": "task1421-4dcb7b327b7045a7b8ba4a2c35a49dab", "input": "Problem: a farmer used 1,034 acres of land for beans , wheat , and corn in the ratio of 5 : 2 : 4 , respectively . how many e acres were used for corn ? \nOptions: a ) 188 , b ) 258 , c ) 376 , d ) 470 , e ) 517", "output": [ "c" ] }, { "id": "task1421-7bd5a84107ce4f9e8ef414fbe8d1ae7c", "input": "Problem: initially , the men and women in a room were in the ratio of 4 : 5 . then , 2 men entered the room and 3 women left the room . then , the number of women doubled . now there are 14 men in the room . how many q women are currently in the room ? \nOptions: a ) 12 , b ) 14 , c ) 15 , d ) 24 , e ) 36", "output": [ "d" ] }, { "id": "task1421-e8700ed1a7f94788bcc25492dea65dd4", "input": "Problem: in a group of 28 junior high school students , 5 take french , 10 take spanish , and 4 take both languages . the students taking both french and spanish are not counted with the 7 taking french or the 10 taking spanish . how many students are not taking either french or spanish ? \nOptions: a ) 7 , b ) 13 , c ) 9 , d ) 12 , e ) 10", "output": [ "b" ] }, { "id": "task1421-f1094d15b04344be921001d203540ce2", "input": "Problem: the ratio of number of boys and girls in a school is 2 : 5 . if there are 490 students in the school , find the number of girls in the school ? \nOptions: a ) 150 , b ) 350 , c ) 300 , d ) 370 , e ) 280", "output": [ "b" ] }, { "id": "task1421-acef80c86db24c5f93f18901170b2d1f", "input": "Problem: there are two positive numbers in the ratio 4 : 8 . if the larger number exceeds the smaller by 16 , then find the smaller number ? \nOptions: a ) 25 , b ) 20 , c ) 77 , d ) 88 , e ) 44", "output": [ "b" ] }, { "id": "task1421-7d5673ec6b244b38916e742037b21c0b", "input": "Problem: a box contains 6 black , 8 red and 4 green marbles . 2 marbles are drawn from the box at random . what is the probability that both the marbles are of the same color ? \nOptions: a ) 49 / 153 , b ) 18 / 153 , c ) 49 / 153 , d ) 40 / 153 , e ) 24 / 72", "output": [ "a" ] }, { "id": "task1421-66e31a0e7e0f408b8e3ac82ddf0421f4", "input": "Problem: find the ratio between whole surfaces of a sphere and a hemisphere ? \nOptions: ['a ) 4 : 3', 'b ) 3 : 4', 'c ) 3 : 2', 'd ) 5 : 2', 'e ) 4 : 6']", "output": [ "a" ] }, { "id": "task1421-513d766bcf464fddbbab3b11514284f1", "input": "Problem: a bottle contains a certain solution . in the bottled solution , the ratio of water to soap is 3 : 4 , and the ratio of soap to salt is five times this ratio . the solution is poured into an open container , and after some time , the ratio of water to soap in the open container is halved by water evaporation . at that time , what is the ratio of water to salt in the solution ? \nOptions: a ) 9 : 32 , b ) 9 : 30 , c ) 32 : 9 , d ) 19 : 32 , e ) 18 : 30", "output": [ "a" ] }, { "id": "task1421-2d90e042ba4846d598d5026fd2675bba", "input": "Problem: at present the ratio between the ages of arun and deepak is 4 : 3 . after 6 years arun ' s age will be 26 years . what is the age of the deepak ? \nOptions: a ) 15 , b ) 20 , c ) 18 , d ) 22 , e ) 35", "output": [ "a" ] }, { "id": "task1421-092ac9594b7f4924900da9a43e0ad7c7", "input": "Problem: two whole numbers whose sum is 100 can not be in the ratio \nOptions: a ) 2 : 23 , b ) 5 : 45 , c ) 10 : 10 , d ) 2 : 6 , e ) 2 : 3", "output": [ "d" ] }, { "id": "task1421-7a6c16c717684805b484837db3d2f0c1", "input": "Problem: two vessels p and q contain 62.5 % and 87.5 % of alcohol respectively . if 4 litres from vessel p is mixed with 4 litres from vessel q , the ratio of alcohol and water in the resulting mixture is ? \nOptions: a ) 1 : 2 , b ) 1 : 3 , c ) 3 : 1 , d ) 1 : 5 , e ) 1 : 4", "output": [ "c" ] }, { "id": "task1421-95ab52f67ba44e868bc1f7d720789f12", "input": "Problem: a certain fraction has the same ratio to 1 / 36 , as 4 / 5 does to 2 / 9 . what is this certain fraction ? \nOptions: a ) 1 / 5 , b ) 1 / 10 , c ) 1 / 15 , d ) 1 / 20 , e ) 1 / 25", "output": [ "b" ] }, { "id": "task1421-a7e593756002434b95cb81fb6690b30a", "input": "Problem: a certain store sold pens for $ 0.35 each and pencils for $ 0.25 each . if a customer purchased both pens and pencils from the store for a total of $ 3.50 , what total number of pens and pencils did the customer purchase ? \nOptions: a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 12", "output": [ "e" ] }, { "id": "task1421-777824e2e3ac4a3695828e9baeef5a52", "input": "Problem: at a supermarket , the ratio of the number of shampoos to the number of soaps is 8 to 5 , and the ratio of the number of drinks to the number of shampoos is 3 to 4 . if the ratio of the soaps to the number of cereals is 9 to 2 , what is the ratio of the number of drinks to the number of cereals ? \nOptions: a ) 4 : 3 , b ) 15 : 6 , c ) 45 : 16 , d ) 15 : 4 , e ) 27 : 5", "output": [ "e" ] }, { "id": "task1421-385f52f068e643e8b17b8d8250a5a001", "input": "Problem: a certain university will select 2 of 3 candidates eligible to fill a position in the mathematics department and 4 of 5 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ? \nOptions: a ) 42 , b ) 10 , c ) 40 , d ) 65 , e ) 15", "output": [ "e" ] }, { "id": "task1421-65559aca27324fe3a469100fcb5e6a5d", "input": "Problem: a man invests some money partly in 12 % stock at 105 and partly in 8 % stock at 88 . to obtain equal dividends from both , he must invest the money in the ratio : \nOptions: a ) 31 : 44 , b ) 31 : 27 , c ) 16 : 15 , d ) 35 : 44 , e ) 35 : 27", "output": [ "d" ] }, { "id": "task1421-eb4d9f7e48104e1ab730fa7ba6c6ad83", "input": "Problem: veena ranks 44 rd from the top in a class of 182 . what is her rank from the bottom if 22 students have failed the examination ? \nOptions: a ) 88 , b ) 108 , c ) 110 , d ) 90 , e ) 117", "output": [ "e" ] }, { "id": "task1421-a70675237ae6491aa0b7ce002fcdb173", "input": "Problem: the dimensions of a field are 10 m by 10 m . a pit 10 m long , 5 m wide and 4 m deep is dug in one corner of the field and the earth removed has been evenly spread over the remaining area of the field . what will be the rise in the height of field as a result of this operation ? \nOptions: a ) 2 m , b ) 3 m , c ) 4 m , d ) 5 m , e ) 1.5 m", "output": [ "c" ] }, { "id": "task1421-5ce319ddb8924a8685d7cd0588c92784", "input": "Problem: if 80 percent of a class answered the first question on a certain test correctly , 55 percent answered the second question on the test correctly , and 20 percent answered neither of the questions correctly , what percent answered both correctly ? \nOptions: a ) 10 % , b ) ( 8 ) 20 % , c ) 30 % , d ) 50 % , e ) 55 %", "output": [ "e" ] }, { "id": "task1421-06fe637f3e734d3292e3f1789cd67077", "input": "Problem: the h . c . f . of two numbers is 25 and the other two factors of their l . c . m . are 13 and 14 . the larger of the two numbers is : \nOptions: a ) 276 , b ) 299 , c ) 322 , d ) 345 , e ) 350", "output": [ "e" ] }, { "id": "task1421-fb8b7e9645284d0bb10bbae090cbc8f9", "input": "Problem: of the people who responded to a market survey , 60 preferred brand x and the rest preferred brand y . if the respondents indicated a preference for brand x over brand y by ratio of 3 to 1 , how many people responded to the survey ? \nOptions: a ) 80 , b ) 150 , c ) 240 , d ) 360 , e ) 480", "output": [ "a" ] }, { "id": "task1421-ed5abd7ae30f4cfd9d1805eba31e9f15", "input": "Problem: how many factors does 25 ^ 2 have ? \nOptions: a ) 2 , b ) 8 , c ) 24 , d ) 25 , e ) 26", "output": [ "b" ] }, { "id": "task1421-297cfc2f89e24a0d9fb1e96c19478673", "input": "Problem: a ratio between two numbers is 4 : 5 and their l . c . m . is 200 . the first number is \nOptions: a ) 60 , b ) 40 , c ) 20 , d ) 15 , e ) none", "output": [ "b" ] }, { "id": "task1421-e9f5d382fa9d42b38df93262f080c822", "input": "Problem: the number of stamps that p and q had were in the ratio of 5 : 3 respectively . after p gave q 10 stamps , the ratio of the number of p ' s stamps to the number of q ' s stamps was 9 : 7 . as a result of the gift , p had how many more stamps than q ? \nOptions: a ) 20 , b ) 30 , c ) 40 , d ) 60 , e ) 90", "output": [ "a" ] }, { "id": "task1421-fc85e5f2b0934bfe8f550bc4e7a02e70", "input": "Problem: a class has a ratio of 3 : 6 : 7 of children with red hair , blonde hair and black hair respectively . if the class has 9 kids with red hair , how many kids are in the class ? \nOptions: a ) 99 , b ) 48 , c ) 16 , d ) 22 , e ) 60", "output": [ "b" ] }, { "id": "task1421-b8ddfd9081984ecab8098c545f11fab2", "input": "Problem: a can contains a mixture of liquids a and b is the ratio 7 : 5 . when 15 litres of mixture are drawn off and the can is filled with b , the ratio of a and b becomes 7 : 9 . how many liter of liquid a was contained by the can initially ? \nOptions: a ) 30 , b ) 35 , c ) 40 , d ) 45 , e ) 50", "output": [ "b" ] }, { "id": "task1421-30e7f89ff82f42129d4585deda13a717", "input": "Problem: there are 380 doctors and nurses in a hospital . if the ratio of the doctors to the nurses is 8 : 11 , then how many nurses are there in the hospital ? \nOptions: a ) 152 , b ) 209 , c ) 57 , d ) 171 , e ) 220", "output": [ "e" ] }, { "id": "task1421-d6cdd38abe36488bb1f0d16d4f8b599c", "input": "Problem: a certain bag contains 100 balls â € ” 50 white , 20 green , 10 yellow , 17 red , and 3 purple . if a ball is to be chosen at random , what is the probability that the ball will be neither red nor purple ? \nOptions: a ) 0.9 , b ) 0.75 , c ) 0.6 , d ) 0.8 , e ) 0.5", "output": [ "d" ] }, { "id": "task1421-17d30ee6a4bb4eba95d7f297826cd657", "input": "Problem: a set of pictures of butterflies contains 10 pictures . jim bought 3 of the pictures . if 2 pictures are to be picked out from the 10 pictures , what is the probability that both pictures are not those that were already bought by jim ? \nOptions: a ) 14 / 15 , b ) 3 / 5 , c ) 6 / 13 , d ) 7 / 15 , e ) 7 / 10", "output": [ "d" ] }, { "id": "task1421-9a18ee13a92645229c97b1ff07b6f948", "input": "Problem: the h . c . f . of two numbers is 40 and the other two factors of their l . c . m . are 11 and 15 . the larger of the two numbers is : \nOptions: a ) 276 , b ) 600 , c ) 699 , d ) 722 , e ) 745", "output": [ "b" ] }, { "id": "task1421-d7472ca2e2f445189d7870aa82757551", "input": "Problem: how many positive factors do 150 and 90 have in common ? \nOptions: a ) 8 , b ) 12 , c ) 16 , d ) 18 , e ) 24", "output": [ "a" ] }, { "id": "task1421-b62ec65181264c13861fd938075d2bcd", "input": "Problem: divide rs . 116000 among 3 persons a , b and c such that the ratio of the shares of a and b is 3 : 4 and that of b : c is 5 : 6 . find the share of a ? \nOptions: a ) 29491 , b ) 28491 , c ) 39491 , d ) 49491 , e ) 59491", "output": [ "a" ] }, { "id": "task1421-c7526e6e8c264c848c528a2e2c928f34", "input": "Problem: what number has a 20 : 1 ratio to the number 10 ? \nOptions: a ) 130 , b ) 100 , c ) 200 , d ) 150 , e ) 120", "output": [ "c" ] }, { "id": "task1421-71573479a91f40c0b2890466197a66dd", "input": "Problem: find the compound ratio of ( 2 : 3 ) , ( 5 : 11 ) and ( 11 : 2 ) is \nOptions: a ) 3 : 2 , b ) 2 : 1 , c ) 1 : 2 , d ) 4 : 5 , e ) 5 : 3", "output": [ "e" ] }, { "id": "task1421-ced3c8d811df4e65a40c604c527a3f6e", "input": "Problem: a company conducted a survey about its two brands , a and b . x percent of respondents liked product a , ( x – 20 ) percent liked product b , 23 percent liked both products , and 23 percent liked neither product . what is the minimum number q of people surveyed by the company ? \nOptions: a ) 46 , b ) q . 80 , c ) q . 90 , d ) q . 100 , e ) 200", "output": [ "d" ] }, { "id": "task1421-6ff1b532f5fc46e094abda3e51496764", "input": "Problem: out of 400 students of a school , 325 play football , 175 play cricket and 50 neither play football nor cricket . how many students play both football and cricket ? \nOptions: a ) 120 , b ) 150 , c ) 100 , d ) 180 , e ) 220", "output": [ "b" ] }, { "id": "task1421-7323dc72505a4338aa645ce14ffa4a5c", "input": "Problem: a dog takes 3 leaps for every 8 leaps of a hare . if one leap of the dog is equal to 3 leaps of the hare , the ratio of the speed of the dog to that of the hare is : \nOptions: a ) 9 : 8 , b ) 9 : 9 , c ) 9 : 6 , d ) 9 : 1 , e ) 9 : 2", "output": [ "a" ] }, { "id": "task1421-3d016ab8db774fc3b2d5ea5f75965ff0", "input": "Problem: two vessels having volumes in the ratio 3 : 5 are filled with water and milk solutions . the ratio of milk and water in the two vessels are 3 : 1 and 6 : 4 respectively . if the contents of both the vessel are empties into a larger vessel , find the ratio of milk and water in the larger vessel . \nOptions: a ) 26 : 11 , b ) 23 : 11 , c ) 21 : 11 , d ) 24 : 11 , e ) 25 : 11", "output": [ "c" ] }, { "id": "task1421-a2534f1b6a39471bafddb55459c6a1ea", "input": "Problem: how many factors does 36 ^ 2 have ? \nOptions: a ) 2 , b ) 8 , c ) 24 , d ) 25 , e ) 26", "output": [ "d" ] }, { "id": "task1421-97b232f4455b4cc5a90eaa15d32bb7aa", "input": "Problem: two integers are in the ratio of 1 to 4 . if 6 is added to the smaller number , the ratio becomes 1 to 2 . find the larger integer . \nOptions: a ) 4 , b ) 6 , c ) 12 , d ) 24 , e ) 30", "output": [ "d" ] }, { "id": "task1421-9a2559f44a444e718a3e26cdcf4b2d3b", "input": "Problem: a certain fruit stand sold apples for $ 0.70 each and cherry for $ 0.50 each . if a customer purchased both apples and bananas from the stand for a total of $ 6.30 , what total number of apples and bananas did the customer purchase ? \nOptions: a ) 12 , b ) 11 , c ) 13 , d ) 14 , e ) 15", "output": [ "b" ] }, { "id": "task1421-487915c98d944c05a4783534b187334d", "input": "Problem: 120 liters of a mixture contains milk and water in the ratio 4 : 2 . if 10 liters of this mixture be replaced by 10 liters of milk , the ratio of milk to water in the new mixture would be ? \nOptions: a ) 8 : 6 , b ) 9 : 3 , c ) 9 : 4 , d ) 9 : 6 , e ) 8 : 2", "output": [ "c" ] }, { "id": "task1421-ae1fa5b1da7e42a4998763a014bef44e", "input": "Problem: find the number of zero ’ s in 173 ! ( 173 factorial ) ? \nOptions: a ) 38 , b ) 39 , c ) 40 , d ) 41 , e ) 42", "output": [ "d" ] }, { "id": "task1421-726abe52cc8a418d97668f49b9ef23e7", "input": "Problem: a marketing survey of anytown found that the ratio of trucks to sedans to motorcycles was 3 : 7 : 2 , respectively . given that there are 11,900 sedans in anytown , how many motorcycles are there ? \nOptions: a ) 1260 , b ) 2100 , c ) 3400 , d ) 4200 , e ) 5200", "output": [ "c" ] }, { "id": "task1421-2515b5bc5a7b40f2a252179b7c33ffe9", "input": "Problem: two numbers are in the ratio 3 : 5 . if 9 be subtracted from each , they are in the ratio of 9 : 17 . the first number is ? \nOptions: a ) 36 , b ) 76 , c ) 98 , d ) 27 , e ) 24", "output": [ "a" ] }, { "id": "task1421-67f20259632b4897b10613f5a853c582", "input": "Problem: if w is the set of all the integers between 35 and 64 , inclusive , that are either multiples of 3 or multiples of 2 or multiples of both , then w contains how many numbers ? \nOptions: a ) 18 , b ) 19 , c ) 61 , d ) 31 , e ) 11", "output": [ "b" ] }, { "id": "task1421-ad774cecd0d142b2b5e337d3ae9e388d", "input": "Problem: income and expenditure of a person are in the ratio 7 : 6 . if the income of the person is rs . 14000 , then find his savings ? \nOptions: a ) 500 , b ) 1000 , c ) 1500 , d ) 2000 , e ) 2500", "output": [ "d" ] }, { "id": "task1421-97a83b7e9b624aeeb7d9b8026f9dee02", "input": "Problem: what is the square root of 3,249 ? \nOptions: a ) a ) 18 , b ) b ) 9 , c ) c ) 45 , d ) d ) 62 , e ) e ) 57", "output": [ "e" ] }, { "id": "task1421-1343e1404c5a4290961370086d210a41", "input": "Problem: the ratio of two speeds of two trains is 3 to 4 . if each of the trains slows its speed 5 km / hr , what will be the ratio of these two train speeds ? \nOptions: a ) 3 / 4 , b ) 8 / 9 , c ) 18 / 19 , d ) 23 / 24 , e ) it can not be determined from the information given", "output": [ "e" ] }, { "id": "task1421-b9e226e8c0f34663a1c06497dd836d35", "input": "Problem: the triplicate ratio of 2 : 5 is ? \nOptions: a ) 1 : 0 , b ) 8 : 125 , c ) 1 : 7 , d ) 1 : 2 , e ) 1 : 1", "output": [ "b" ] }, { "id": "task1421-17bd69d821a74206afdd46125787e439", "input": "Problem: three numbers are in the ratio 3 : 4 : 5 and their l . c . m . is 2400 . their h . c . f is ? \nOptions: a ) 20 , b ) 30 , c ) 40 , d ) 50 , e ) 60", "output": [ "c" ] }, { "id": "task1421-c019a04d9c574bc2bcba76058ea14d11", "input": "Problem: the number of people who purchased book a is twice the number of people who purchased book b . the number of people who purchased both books a and b is 500 , which is twice the number of people who purchased only book b . what is the number of people c who purchased only book a ? \nOptions: a ) 250 , b ) 500 , c ) 750 , d ) 1000 , e ) 1500", "output": [ "d" ] }, { "id": "task1421-4ac1e25a98ef48b687e8c1d1aba57756", "input": "Problem: the duplicate ratio of 1 : 4 is ? \nOptions: a ) 1 : 2 , b ) 1 : 4 , c ) 1 : 8 , d ) 1 : 18 , e ) 1 : 13", "output": [ "c" ] }, { "id": "task1421-2beda78298e64292aed6a34bcf434157", "input": "Problem: a ratio between two numbers is 5 : 4 and their l . c . m . is 80 . the first number is \nOptions: a ) 60 , b ) 45 , c ) 20 , d ) 15 , e ) none", "output": [ "c" ] }, { "id": "task1421-2916c564a23645d88326abd53c057969", "input": "Problem: tea worth rs . 126 per kg are mixed with a third variety in the ratio 1 : 1 : 2 . if the mixture is worth rs . 173 per kg , the price of the third variety per kg will be \nOptions: a ) rs . 169.50 , b ) rs . 1700 , c ) rs . 195.50 , d ) rs . 180 , e ) none", "output": [ "c" ] }, { "id": "task1421-05d85c1df25e447692f0e2a75dcf335a", "input": "Problem: two whole numbers whose sum is 72 can not be in the ratio \nOptions: a ) 3 : 4 , b ) 3 : 5 , c ) 4 : 5 , d ) 5 : 7 , e ) none", "output": [ "a" ] }, { "id": "task1421-e52997134342408f99568e39736652e1", "input": "Problem: the compound ratio of 1 : 4 , 2 : 5 and 1 : 6 ? \nOptions: a ) 1 : 3 , b ) 1 : 4 , c ) 1 : 10 , d ) 1 : 30 , e ) 1 : 60", "output": [ "e" ] }, { "id": "task1421-69add80589944e4ebcf08b0be48a7c16", "input": "Problem: the marks obtained by vijay and amith are in the ratio 4 : 5 and those obtained by amith and abhishek in the ratio of 3 : 4 . the marks obtained by vijay and abhishek are in the ratio of ? \nOptions: a ) 3 : 4 , b ) 3 : 5 , c ) 6 : 5 , d ) 3 : 6 , e ) 3 : 8", "output": [ "b" ] }, { "id": "task1421-573857e40abb4e538f775953d3ebe333", "input": "Problem: in what ratio mental a at rs . 68 per kg be mixed with another metal at rs . 96 per kg so that cost of alloy ( mixture ) is rs . 75 per kg ? \nOptions: a ) 5 : 8 , b ) 3 : 1 , c ) 3 : 7 , d ) 9 : 5 , e ) 9 : 8", "output": [ "b" ] }, { "id": "task1421-99c00dc733e44a5f94f86d0cc6429d2e", "input": "Problem: a certain quantity of 40 % solution is replaced with 25 % solution such that the new concentration is 35 % . what is the fraction of the solution that was replaced ? \nOptions: a ) 1 / 4 , b ) 1 / 3 , c ) 1 / 2 , d ) 2 / 3 , e ) 3 / 4", "output": [ "b" ] }, { "id": "task1421-7055af2112ce48898edc2172c0fde26c", "input": "Problem: a can contains a mixture of liquids a and b is the ratio 7 : 5 . when 9 litres of mixture are drawn off and the can is filled with b , the ratio of a and b becomes 7 : 9 . how many liter e of liquid a was contained by the can initially ? \nOptions: a ) 10 , b ) 20 , c ) 21 , d ) 25 , e ) 27", "output": [ "c" ] }, { "id": "task1421-b9e446bed7064e73ba72a8866993fe4c", "input": "Problem: a firm is comprised of partners and associates in a ratio of 2 : 61 . if 60 more associates were hired , the ratio of partners to associates would be 4 : 137 . how many partners are currently in the firm ? \nOptions: a ) 12 , b ) 14 , c ) 16 , d ) 18 , e ) 20", "output": [ "c" ] }, { "id": "task1421-82beaea2b10f4bde8b1fec3038e62244", "input": "Problem: a bag holds 2 red marbles and 3 green marbles . if you removed two randomly selected marbles from the bag , without replacement , what is the probability that both would be green ? \nOptions: a ) 1 / 10 , b ) 1 / 5 , c ) 3 / 10 , d ) 2 / 5 , e ) 1 / 2", "output": [ "c" ] }, { "id": "task1421-3212dc88c24d4267a62996e45add45b5", "input": "Problem: two numbers are in the ratio 3 : 4 . if their l . c . m . is 96 . what is sum of the numbers ? \nOptions: a ) 48 , b ) 56 , c ) 76 , d ) 84 , e ) 85", "output": [ "b" ] }, { "id": "task1421-c7fdbaed42394c7dbd85c60382fc2533", "input": "Problem: the dimensions of a field are 16.5 m by 10 m . a pit 10 m long , 5.5 m wide and 4 m deep is dug in one corner of the field and the earth removed has been evenly spread over the remaining area of the field . what will be the rise in the height of field as a result of this operation ? \nOptions: a ) 2 m , b ) 3 m , c ) 1 m , d ) 2.5 m , e ) 3.5 m", "output": [ "a" ] }, { "id": "task1421-6e60747604574769bc2bb4d6203d1c66", "input": "Problem: set x consists of the integers from 1 to 12 , inclusive , while set y consists of the integers from 0 to 20 , inclusive . how many distinct integers do belong to the both sets at the same time ? \nOptions: a ) 12 , b ) 15 , c ) 10 , d ) 20 , e ) 8", "output": [ "a" ] }, { "id": "task1421-2a467ca9c006461c8df0698d503160a2", "input": "Problem: the simple form of the ratio 5 / 8 : 3 / 2 is ? \nOptions: a ) 5 : 8 , b ) 5 : 5 , c ) 5 : 9 , d ) 5 : 3 , e ) 5 : 1", "output": [ "a" ] }, { "id": "task1421-95e6fff244fe4fe3a02a56cf948d97e1", "input": "Problem: how many terminating zeroes q does 200 ! have ? \nOptions: a ) 40 , b ) 48 , c ) 49 , d ) 55 , e ) 64", "output": [ "c" ] }, { "id": "task1421-2a58a80e684a43bab5d196d95c743df6", "input": "Problem: the ratio of 3 numbers is 1 : 2 : 4 and the sum of their squares is 1701 . the sum of the numbers is ? \nOptions: a ) a ) 10 , b ) b ) 12 , c ) c ) 15 , d ) d ) 14 , e ) e ) 9", "output": [ "e" ] }, { "id": "task1421-bb6c3a2e7d6244f59d3fb6ad52737e24", "input": "Problem: two whole numbers whose sum is 24 is the ratio \nOptions: a ) 1 : 3 , b ) 2 : 8 , c ) 1 : 6 , d ) 2 : 3 , e ) 2 : 5", "output": [ "a" ] }, { "id": "task1421-ec3bc3874191474ea1e46e8da9b5ecc4", "input": "Problem: how many factors of 660 are odd numbers greater than 1 ? \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 15", "output": [ "e" ] }, { "id": "task1421-b348f54ce17349b0a6982b2c2badce42", "input": "Problem: there are 193 items that are members of set u . of these items , 49 are members of set b , 59 are not members of either of set a or set b , and 25 are members of both sets a and b . how many of the members of set u are members of set a ? \nOptions: a ) 72 , b ) 85 , c ) 110 , d ) 98 , e ) 108", "output": [ "c" ] }, { "id": "task1421-34552ddde93348cb891475975d9248bd", "input": "Problem: local kennel has cats and dogs in the ratio of 3 : 4 . if there are 8 fewer cats than dogs , how many dogs are in the kennel ? \nOptions: a ) 28 , b ) 26 , c ) 24 , d ) 32 , e ) 30", "output": [ "d" ] }, { "id": "task1421-09838d7f2857460bad150e74c9c8f8ec", "input": "Problem: the ratio of two quantities is 5 to 6 . if each of the quantities is increased by 15 , what is the ratio of these 2 new quantities ? \nOptions: a ) 5 : 6 , b ) 25 : 27 , c ) 15 : 16 , d ) 20 : 21 , e ) it can not be determined from the information given", "output": [ "e" ] }, { "id": "task1421-018ff468e2764e30bdca13f8bfb36e88", "input": "Problem: 4 dice are thrown and the sum of the numbers noted is 10 . find the probability that all the numbers lie between 2 and 5 ( both inclusive ) ? \nOptions: a ) 11 / 79 , b ) 10 / 79 , c ) 12 / 79 , d ) 13 / 79 , e ) 14 / 79", "output": [ "b" ] }, { "id": "task1421-cdf0bde2da264597a84b081e0a44081b", "input": "Problem: in the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30 . in the sport formulation , the ratio of flavoring to corn syrup is three times as great as in the standard formulation , and the ratio of flavoring to water is half that of the standard formulation . if a large bottle of the sport formulation contains 8 ounces of corn syrup , how many ounces of water does it contain ? \nOptions: a ) 45 , b ) 50 , c ) 55 , d ) 60 , e ) 120", "output": [ "e" ] }, { "id": "task1421-791b3b07b2774066aa52b8d91455f1ea", "input": "Problem: there are two positive numbers in the ratio 5 : 8 . if the larger number exceeds the smaller by 15 , then find the smaller number ? \nOptions: a ) 25 , b ) 66 , c ) 88 , d ) 89 , e ) 53", "output": [ "a" ] }, { "id": "task1421-3c67dab741b941aebb30f761e8caf27d", "input": "Problem: teas worth rs . 126 per kg and rs . 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2 . if the mixture is worth rs 152 per kg , the price of the third variety per kg will be ? \nOptions: a ) rs . 147.50 , b ) rs . 785.50 , c ) rs . 174.50 , d ) rs . 258.50 , e ) none of these", "output": [ "c" ] }, { "id": "task1421-12eaaccdec634426a86644fe0c74a7b5", "input": "Problem: a bottle contains a certain solution . in the bottled solution , the ratio of water to soap is 3 : 5 , and the ratio of soap to salt is four times this ratio . the solution is poured into an open container , and after some time , the ratio of water to soap in the open container is quartered by water evaporation . at that time , what is the ratio of water to salt in the solution ? \nOptions: a ) 9 : 100 , b ) 100 : 9 , c ) 12 : 100 , d ) 12 : 20 , e ) 13 : 100", "output": [ "a" ] }, { "id": "task1421-2a840ae0fa4643ac97742ee0e95b9d48", "input": "Problem: the ratio of number of boys and girls in a school is 3 : 5 . if there are 320 students in the school , find the number of girls in the school ? \nOptions: a ) 150 , b ) 250 , c ) 300 , d ) 200 , e ) 280", "output": [ "d" ] }, { "id": "task1421-0225f4e43bd949378a09ca39d490386a", "input": "Problem: an alloy is to contain copper and zinc in the ratio 5 : 3 . the zinc required to be melted with 40 kg of copper is ? \nOptions: a ) 15 kg , b ) 20 kg , c ) 8 kg , d ) 24 kg , e ) 32 kg", "output": [ "d" ] }, { "id": "task1421-b9843da386d7417ba6a746f71c789372", "input": "Problem: how many kilograms of pure water is to be added to 100 kilograms of a 30 % saline solution to make it a 10 % saline solution . \nOptions: a ) 100 , b ) 200 , c ) 300 , d ) 400 , e ) 500", "output": [ "b" ] }, { "id": "task1421-e81d8e9c04bf4d5cbd864c19e8a03462", "input": "Problem: the ratio between the number of sheep and the number of horses at the stewar farm is 5 to 7 . if each of horse is fed 230 ounces of horse food per day and the farm needs a total 12880 ounces of horse food per day . what is number sheep in the form ? ? \nOptions: a ) 18 , b ) 28 , c ) 40 , d ) 56 , e ) 58", "output": [ "c" ] }, { "id": "task1421-3093fd677919472db4b1ad45d2f6a2be", "input": "Problem: mrs . evans gave a test to her freshmen economics class , which has 50 students enrolled and 25 of them answered question 1 correctly . if 20 answered question 2 correctly and 20 did not take the test then how many answered both questions correctly ? \nOptions: a ) 23 , b ) 22 , c ) 21 , d ) 20 , e ) 19", "output": [ "d" ] }, { "id": "task1421-fd5a0e1f0d744f1e8bf17c2080693492", "input": "Problem: income and expenditure of a person are in the ratio 5 : 4 . if the income of the person is rs . 18000 , then find his savings ? \nOptions: a ) rs . 3600 , b ) rs . 3629 , c ) rs . 3279 , d ) rs . 3629 , e ) rs . 3283", "output": [ "a" ] }, { "id": "task1421-9f2b452e657b4dce9e002dabaa61ce5b", "input": "Problem: the ratio of 2 numbers is 2 : 8 and their h . c . f . is 40 . their l . c . m . is ? \nOptions: a ) 400 , b ) 120 , c ) 80 , d ) 320 , e ) 40", "output": [ "d" ] }, { "id": "task1421-7c7610a1b78d47a99432d342a8fc5411", "input": "Problem: what is the greatest positive integer n such that 3 ^ n is a factor of 54 ^ 100 ? \nOptions: a ) 100 , b ) 200 , c ) 300 , d ) 600 , e ) 900", "output": [ "c" ] }, { "id": "task1421-2c34d9bed6b34b4a8a953d3d23692acc", "input": "Problem: the ratio between the number of sheep and the number of horses at the stewart farm is 6 to 7 , if each horse is fed 230 ounces of horse food per day and the farm needs a total 12,880 ounces of horse food per day , what is the number of sheep in the farm ? \nOptions: a ) 18 , b ) 28 , c ) 48 , d ) 56 , e ) 60", "output": [ "c" ] }, { "id": "task1421-43d2faffbbff490e92cd1df7f7ff002d", "input": "Problem: sara bought both german chocolate and swiss chocolate for some cakes she was baking . the swiss chocolate cost $ 3.5 per pound , and german chocolate cost $ 2.8 per pound . if the total the she spent on chocolate was $ 28 and both types of chocolate were purchased in whole number of pounds , how many total pounds of chocolate she purchased ? \nOptions: a ) 9 , b ) 8 , c ) 10 , d ) 12 , e ) 15", "output": [ "a" ] }, { "id": "task1421-7760260ca576454bb37f0271a92b4ec9", "input": "Problem: the ratio of three numbers is 1 : 2 : 5 and the sum of their squares is 4320 . the sum of the numbers is ? \nOptions: a ) a ) 10 , b ) b ) 12 , c ) c ) 15 , d ) d ) 14 , e ) e ) 9", "output": [ "b" ] }, { "id": "task1421-ab16c14accc743cb88bd137a5c4cf657", "input": "Problem: in the third grade of windblown school there are 108 students , one third of them failed the math test and 1 / 6 failed that literature test . at least how many students failed both tests ? \nOptions: a ) 0 . , b ) 6 . , c ) 8 . , d ) 10 , e ) 12", "output": [ "a" ] }, { "id": "task1421-3fef9cffdddd484ea777193bda0c4f5e", "input": "Problem: in a certain animal shelter , the ratio of the number of dogs to the number of cats is 15 to 7 . if 8 additional cats were to be taken in by the shelter , the ratio of the number of dogs to the number of cats would be 15 to 11 . how many dogs are in the shelter ? \nOptions: a ) 15 , b ) 25 , c ) 30 , d ) 45 , e ) 60", "output": [ "c" ] }, { "id": "task1421-4672b9cb157345399b58ecf9645c2513", "input": "Problem: total num of pupiles in 3 grades of scholl is 333 . the no of pupiles in grades 1 and 2 are un 3 : 5 ratio and 2 and 3 grades are 7 : 11 ratio . what is the strength of class that has highest no of pupils \nOptions: a ) 145 , b ) 155 , c ) 165 , d ) 175 , e ) 185", "output": [ "c" ] }, { "id": "task1421-e8ee661b2d8a46c2a18d1ebb13a9bc25", "input": "Problem: there are two positive numbers in the ratio 2 : 7 . if the larger number exceeds the smaller by 30 , then find the larger number ? \nOptions: a ) 42 , b ) 38 , c ) 44 , d ) 36 , e ) 46", "output": [ "a" ] }, { "id": "task1421-d39b2cac07b44e6f947ecb5c7d74b712", "input": "Problem: the triplicate ratio of 1 : 7 is ? \nOptions: a ) 1 : 7 , b ) 1 : 8 , c ) 1 : 343 , d ) 1 : 1 , e ) 1 : 2", "output": [ "c" ] }, { "id": "task1421-e9f40a1ac1004e41b4e4491577b4619e", "input": "Problem: a bag contains 5 red , 4 blue and 3 green balls . if 2 ballsare picked at random , what is the probability that both are red ? \nOptions: a ) 1 / 13 , b ) 2 / 23 , c ) 5 / 33 , d ) 4 / 27 , e ) 3 / 23", "output": [ "c" ] }, { "id": "task1421-809226f2811548fe90c11ac9dd0c102f", "input": "Problem: in a certain pet shop , the ratio of dogs to cats to bunnies in stock is 4 : 7 : 9 . if the shop carries 364 dogs and bunnies total in stock , how many dogs are there ? \nOptions: a ) 42 , b ) 66 , c ) 98 , d ) 112 , e ) 154", "output": [ "d" ] }, { "id": "task1421-dcee4a6aa74e4e1d8e444c1cb818af10", "input": "Problem: if 1 = 3 2 = 6 3 = 9 4 = 12 5 = 15 then 9 = ? hint : its a logic riddle not a mathematical riddle \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "c" ] }, { "id": "task1421-500868fa0d9148509f9d4631fb2dcdc7", "input": "Problem: x starts a business with rs . 45000 . y joins in the business after 5 months with rs . 30000 . what will be the ratio in which they should share the profit at the end of the year ? \nOptions: a ) 1 : 2 , b ) 2 : 1 , c ) 1 : 3 , d ) 3 : 1 , e ) 18 : 7", "output": [ "e" ] }, { "id": "task1421-7c6179188b9c4583861c1f5c81ef727f", "input": "Problem: sandy is younger than molly by 18 years . if the ratio of their ages is 7 : 9 , how old is sandy ? \nOptions: a ) 42 , b ) 49 , c ) 56 , d ) 63 , e ) 70", "output": [ "d" ] }, { "id": "task1421-eb2433be01bc47b5b307a039106201f8", "input": "Problem: an alloy is to contain copper and zinc in the ratio 9 : 4 . the zinc required to be melted with 24 kg of copper is ? \nOptions: a ) 12 kg , b ) 8.3 kg , c ) 10.7 kg , d ) 15.5 kg , e ) 7 kg", "output": [ "c" ] }, { "id": "task1421-dcd18c3530564e43ac4a759ac91b8f49", "input": "Problem: 39 ! is divided by 41 . then what is the remainder for this ? \nOptions: a ) 1 , b ) 3 , c ) 5 , d ) 6 , e ) 7", "output": [ "a" ] }, { "id": "task1421-28870ed7e6524b36ae572b173bcb3a58", "input": "Problem: in a group of 22 boys , 13 play basketball and 15 play football . 3 of the boys play neither . how many play both ? \nOptions: a ) 18 , b ) 20 , c ) 21 , d ) 22 , e ) 25", "output": [ "a" ] }, { "id": "task1421-fe9bf1829f6248b5b9738c4601fba279", "input": "Problem: bucket p has thrice the capacity as bucket q . it takes 60 turns for bucket p to fill the empty drum . how many turns it will take for both the buckets p and q , having each turn together to fill the empty drum ? \nOptions: a ) 30 , b ) 45 , c ) 50 , d ) 25 , e ) 60", "output": [ "b" ] }, { "id": "task1421-fef5e670113c474194d72722f3f60a56", "input": "Problem: if 65 percent of a class answered the first question on a certain test correctly , 50 percent answered the second question on the test correctly , and 20 percent answered neither of the questions correctly , what percent answered both correctly ? \nOptions: a ) 25 % , b ) 30 % , c ) 35 % , d ) 40 % , e ) 45 %", "output": [ "c" ] }, { "id": "task1421-a52189789b2c4e96a651150d0ec830e7", "input": "Problem: a certain manufacturer of cake , muffin , and bread mixes has 100 buyers , of whom 50 purchases cake mix , 40 purchase muffin mix , and 17 purchase both cake mix and muffin mix . if a buyer is to be selected at random from the 100 buyers , what is the probability that the buyer selected will be one who purchases neither cake mix nor muffin mix ? \nOptions: a ) 1 / 10 , b ) 3 / 10 , c ) 1 / 2 , d ) 27 / 100 , e ) 9 / 100", "output": [ "d" ] }, { "id": "task1421-677b4ca1eed34e79b0a96d2f16098657", "input": "Problem: the h . c . f . of two numbers is 23 and the other two factors of their l . c . m . are 13 and 14 . the larger of the two numbers is \nOptions: a ) 276 , b ) 299 , c ) 312 , d ) 322 , e ) none", "output": [ "d" ] }, { "id": "task1421-7f74541750ff46098ee559a1ecc1acb2", "input": "Problem: in a college , the ratio of the number of boys to girls is 8 : 5 . if there are 300 girls , the total number of students in the college is \nOptions: a ) 420 , b ) 520 , c ) 620 , d ) 780 , e ) 820", "output": [ "d" ] }, { "id": "task1421-0604b9784e1c4433954cbe6e2f888710", "input": "Problem: of 60 children , 30 are happy , 10 are sad , and 20 are neither happy nor sad . there are 22 boys and 38 girls . if there are 6 happy boys and 4 sad girls , how many boys are neither happy nor sad ? \nOptions: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 10", "output": [ "e" ] }, { "id": "task1421-1d9d2d50238d4af2a55d135aaae84b36", "input": "Problem: a certain car dealership sells economy cars , luxury cars , and sport utility vehicles . the ratio of economy to luxury cars is 3 : 4 . the ratio of economy cars to sport utility vehicles is 4 : 3 . what is the ratio of luxury cars to sport utility vehicles ? \nOptions: a ) 9 : 8 , b ) 8 : 9 , c ) 3 : 2 , d ) 2 : 3 , e ) 16 : 9", "output": [ "e" ] }, { "id": "task1421-ad82448e9f0b4784ab5ded26a17e5b2a", "input": "Problem: in a certain town , the ratio of ny yankees fans to ny mets fans is 2 : 1 , and the ratio of ny mets fans to boston red sox fans is 3 : 7 . if there are 352 baseball fans in the town , each of whom is a fan of exactly one of those three teams , how many ny mets fans are there in this town ? \nOptions: a ) 58 , b ) 66 , c ) 74 , d ) 82 , e ) 90", "output": [ "b" ] }, { "id": "task1421-1c686c80ffaa48b2b05647df4c079004", "input": "Problem: a person want to give his money of $ 2700 to his 3 children a , b , c in the ratio 2 : 3 : 4 . what is the b ' s share ? \nOptions: a ) $ 200 , b ) $ 900 , c ) $ 700 , d ) $ 600 , e ) $ 400", "output": [ "b" ] }, { "id": "task1421-ff633062e5624ae89635fbb25fd1efd3", "input": "Problem: solution a is 20 % salt and solution b is 80 % salt . if you have 30 ounces of solution a and 60 ounces of solution b , in what ratio could you mix solution a with solution b to produce 50 ounces of a 50 % salt solution ? \nOptions: a ) 6 : 4 , b ) 6 : 14 , c ) 4 : 4 , d ) 4 : 6 , e ) 3 : 7", "output": [ "c" ] }, { "id": "task1421-d448c11eff524979a15d05cbdb7496b1", "input": "Problem: in the third grade of windblown school there are 84 students , one third of them failed the math test and 1 / 6 failed that literature test . at least how many students failed both tests ? \nOptions: a ) 0 . , b ) 6 . , c ) 8 . , d ) 10 . , e ) 12 .", "output": [ "a" ] }, { "id": "task1421-ca8c94105e4f4d9d9b9baf8b86199e55", "input": "Problem: of the 65 cars on a car lot , 30 have air - conditioning , 45 have air bag , and 12 have both air - conditioning and air bag . how many of the cars on the lot have neither air - conditioning nor air bag ? \nOptions: a ) 2 , b ) 8 , c ) 10 , d ) 15 , e ) 18", "output": [ "c" ] }, { "id": "task1421-fff27d60704f4c57bedd2e6f9dd8b96a", "input": "Problem: a certain quantity of 70 % solution is replaced with 25 % solution such that the new concentration is 35 % . what is the fraction of the solution that was replaced ? \nOptions: a ) 1 / 4 , b ) 1 / 3 , c ) 1 / 2 , d ) 2 / 3 , e ) 7 / 9", "output": [ "e" ] }, { "id": "task1421-38be4eb4fb024aaca15466e569244f89", "input": "Problem: two family reunions are happening at the leela hotel , the oates reunion and the hall reunion . all 100 guests at the hotel attend at least one of the reunions . if 50 people attend the oates reunion and 62 people attend the hall reunion , how many people attend both reunions ? \nOptions: a ) 2 , b ) 5 , c ) 12 , d ) 16 , e ) 22", "output": [ "c" ] }, { "id": "task1421-233447f0afdb4658b00fb5f5d16ab6cc", "input": "Problem: the ratio of number of boys and girls in a school is 3 : 2 . if there are 100 students in the school , find the number of girls in the school ? \nOptions: a ) 25 , b ) 30 , c ) 35 , d ) 40 , e ) 50", "output": [ "d" ] }, { "id": "task1421-8abf1d77a9eb44bf8d70b9d48f00cf1d", "input": "Problem: the marks obtained by vijay and amith are in the ratio 6 : 5 and those obtained by amith and abhishek in the ratio of 3 : 2 . the marks obtained by vijay and abhishek are in the ratio of ? \nOptions: a ) 1 : 5 , b ) 4 : 5 , c ) 9 : 5 , d ) 9 : 8 , e ) 9 : 7", "output": [ "c" ] }, { "id": "task1421-d24d07c994a248e0a42393f4ae51df37", "input": "Problem: income and expenditure of a person are in the ratio 5 : 3 . if the income of the person is rs . 10000 , then find his savings ? \nOptions: a ) rs . 4000 , b ) rs . 3603 , c ) rs . 3639 , d ) rs . 3632 , e ) rs . 3602", "output": [ "a" ] }, { "id": "task1421-2a087742736a401db44e404cb58a8247", "input": "Problem: a shipment of 250 smartphones contains 67 that are defective . if a customer buys two smartphones at random from the shipment , what is the approximate probability that both phones are defective ? \nOptions: a ) 1 / 250 , b ) 1 / 14 , c ) 1 / 11 , d ) 1 / 9 , e ) 1 / 3", "output": [ "b" ] }, { "id": "task1421-0d9900d680f247b9baf0256f665ad8f6", "input": "Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 4 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ? \nOptions: a ) 5 : 1 , b ) 10 : 5 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2", "output": [ "d" ] }, { "id": "task1421-4b7a3a0349764c4c9831a9c17b7c69aa", "input": "Problem: bhatia , ashtikar and singh begin to play with rs 70 each . at the end the ratio of the amounts left with ashtikar and singh is 1 : 2 and of those with singh and bhatia is 4 : 1 . what is singh ' s gain ( in rs ) ? \nOptions: a ) 40 , b ) 45 , c ) 48 , d ) 50 , e ) 53", "output": [ "d" ] }, { "id": "task1421-b7dc61ca584b490c9e9bbb561297e67f", "input": "Problem: in a certain state , the ratio of registered republicans to registered democrats is 3 to 2 , and every registered voter is either a republican or a democrat . if 90 percent of the republicans and 15 percent of the democrats are expected to vote for candidate x , and everyone else is expected to vote for candidate y , by what percent is candidate x expected to win the election ? \nOptions: a ) 2 % , b ) 5 % , c ) 8 % , d ) 10 % , e ) 20 %", "output": [ "e" ] }, { "id": "task1421-f20a518208f346f2b81df5045f2f0fcd", "input": "Problem: x starts a business with rs . 45000 . y joins in the business after 3 months with rs . 30000 . what will be the ratio in which they should share the profit at the end of the year ? \nOptions: a ) 1 : 2 , b ) 2 : 1 , c ) 1 : 3 , d ) 3 : 1 , e ) 1 : 1", "output": [ "b" ] }, { "id": "task1421-d396443f92d04f708724a9bc10043fb6", "input": "Problem: john distributes his pencil among his 4 friends rose , mary , ranjan , and rohit in the ratio 1 / 1 : 1 / 3 : 1 / 4 : 1 / 5 . what is the minimum no . of pencils that the person should have ? \nOptions: a ) 45 , b ) 65 , c ) 98 , d ) 107 , e ) 198", "output": [ "d" ] }, { "id": "task1421-0ae9051a057848ff943ed08de81a77bd", "input": "Problem: ratio between two numbers is 3 : 4 and their sum is 420 . find the smaller number ? \nOptions: a ) 378 , b ) 180 , c ) 820 , d ) 734 , e ) 840", "output": [ "b" ] }, { "id": "task1421-b19c5f2257cb4ce89834f013392a8470", "input": "Problem: two numbers are in the ratio of 1 : 2 . if 5 be added to both , their ratio changes to 3 : 5 . the greater number is \nOptions: a ) 20 , b ) 24 , c ) 28 , d ) 32 , e ) 36", "output": [ "a" ] }, { "id": "task1421-2944b2db0d6f4a0798cac29065fde5dc", "input": "Problem: a certain university will select 1 of 3 candidates eligible to fill a position in the mathematics department and 2 of 10 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ? \nOptions: a ) 42 , b ) 70 , c ) 140 , d ) 135 , e ) 315", "output": [ "d" ] }, { "id": "task1421-8f82df444158488bbdd0fa157bbf982a", "input": "Problem: in a group of 100 cars , 37 cars do not have air conditioning . if at least 41 cars have racing stripes , what is the greatest number of cars that could have air conditioning but not racing stripes ? \nOptions: a ) 45 , b ) 47 , c ) 59 , d ) 51 , e ) 53", "output": [ "c" ] }, { "id": "task1421-bed19d48cb964692b4545ade74396ac8", "input": "Problem: the ratio of money with ram and gopal is 7 : 17 and that with gopal and krishan is 7 : 17 . if ram has rs . 539 , krishan has ? \nOptions: a ) s . 2890 , b ) s . 2330 , c ) s . 1190 , d ) s . 1620 , e ) s . 3179", "output": [ "e" ] }, { "id": "task1421-b7e5e6382daf4bdda2c6725f9c38ab6e", "input": "Problem: the compound ratio of 2 : 3 , 3 : 4 and 4 : 5 ? \nOptions: a ) 1 : 2 , b ) 2 : 5 , c ) 3 : 4 , d ) 3 : 5 , e ) 3 : 9", "output": [ "b" ] }, { "id": "task1421-f981a9d93a424a4eaae489c8b372f884", "input": "Problem: in a class of 39 students 26 play football and play 20 long tennis , if 17 play above , many play neither ? \nOptions: a ) 6 , b ) 8 , c ) 10 , d ) 12 , e ) 14", "output": [ "c" ] }, { "id": "task1421-adf5b984451a4b4ead1c912357fe8858", "input": "Problem: if three numbers in the ratio 3 : 2 : 5 be such that the sum of their squares is 1862 , the middle number will be \nOptions: ['a ) 10', 'b ) 14', 'c ) 18', 'd ) 22', 'e ) 24']", "output": [ "b" ] }, { "id": "task1421-cbc3ed33afae46b8bad682e9792ba4e7", "input": "Problem: in a school of 320 students , 85 students are in the band , 200 students are on sports teams , and 60 students participate in both activities . how many students are involved in either band or sports ? \nOptions: a ) 220 , b ) 225 , c ) 230 , d ) 240 , e ) 245", "output": [ "b" ] }, { "id": "task1421-1c9f67fec8c247ba9e37e2bc5b057a27", "input": "Problem: the duplicate ratio of 2 : 3 is ? \nOptions: a ) 4 : 9 , b ) 1 : 4 , c ) 1 : 8 , d ) 1 : 18 , e ) 1 : 13", "output": [ "a" ] }, { "id": "task1421-6f493bc173fe4322b3d0fb8cc0455342", "input": "Problem: a certain business school has 500 students , and the law school at the same university has 800 students . among these students , there are 30 sibling pairs consisting of 1 business student and 1 law student . if 1 student is selected at random from both schools , what is the probability that a sibling pair is selected ? \nOptions: a ) 3 / 40000 , b ) 3 / 20000 , c ) 3 / 4000 , d ) 9 / 400 , e ) 6 / 130", "output": [ "a" ] }, { "id": "task1421-071a039ab8bf4857aa1c21e9098eef65", "input": "Problem: how many of the positive factors of 24 , 16 and how many common factors are there in numbers ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "d" ] }, { "id": "task1421-23cf6c712fc946db8d6e3cbde1966fb5", "input": "Problem: in what ratio must wheat at rs . 3.20 pe rkg be mixed with wheat at rs . 2.90 per kg so that the mixture be worth rs . 3.08 per kg \nOptions: a ) 3 : 4 , b ) 3 : 2 , c ) 3 : 5 , d ) 3 : 7 , e ) 2 : 3", "output": [ "b" ] }, { "id": "task1421-82e5d590314e4f25b605df1a6424feb9", "input": "Problem: of the 55 cars on a car lot , 40 have air - conditioning , 25 have power windows , and 12 have both air - conditioning and power windows . how many of the cars on the lot have neither air - conditioning nor power windows ? \nOptions: a ) 15 , b ) 8 , c ) 10 , d ) 2 , e ) 18", "output": [ "d" ] }, { "id": "task1421-2d64147bb7874e79949f3f90ce746772", "input": "Problem: at a garage sale , all of the items were sold at different prices . if the price of a radio sold at the garage sale was both the 17 th highest price and the 24 th lowest price among the prices of the items sold , how many items were sold at the garage sale ? \nOptions: a ) 38 , b ) 39 , c ) 40 , d ) 41 , e ) 42", "output": [ "c" ] }, { "id": "task1421-5825be5b647547ac8da91a8f15df2b75", "input": "Problem: two numbers are in the ratio 3 : 5 . if 9 be subtracted from each , they are in the ratio of 5 : 2 . the first number is : \nOptions: a ) a ) 3 , b ) b ) 98 , c ) c ) 34 , d ) d ) 35 , e ) e ) 62", "output": [ "a" ] }, { "id": "task1421-533eaa2cb5d648fdbfd03988d17239c1", "input": "Problem: a jar contains a mixture of ab in the ratio 3 : 2 . when 20 l of mixture is replaced with liquid b , ratio becomes 2 : 3 . how many liters of liquid a was present in mixture initially . \nOptions: a ) 12 , b ) 15 , c ) 16 , d ) 20 , e ) 36", "output": [ "e" ] }, { "id": "task1421-e82aaab26c164239a3fc3cc725b08977", "input": "Problem: a woman bought a pack of 36 eggs , but the seller told her that there were 3 rotten eggs in the pack . she forgot it and begun to prepare a recipe that needs 2 eggs . what is the probability that both choosen eggs will be rotten ? \nOptions: a ) 1 / 210 , b ) 2 / 210 , c ) 3 / 210 , d ) 1 / 119 , e ) 2 / 119", "output": [ "a" ] }, { "id": "task1421-4db59ad58706433da99e4b65cf7f888b", "input": "Problem: the sub - duplicate ratio of 25 : 49 is \nOptions: a ) 4 : 3 , b ) 5 : 7 , c ) 6 : 4 , d ) 1 : 4 , e ) 2 : 3", "output": [ "b" ] }, { "id": "task1421-39a03de4c95444b3ad6dfeaacfd927f1", "input": "Problem: a bottle contains a certain solution . in the bottled solution , the ratio of water to soap is 3 : 4 , and the ratio of soap to salt is five times this ratio . the solution is poured into an open container , and after some time , the ratio of water to soap in the open container is quartered by water evaporation . at that time , what is the ratio of water to salt in the solution ? \nOptions: a ) 26 : 64 , b ) 64 : 9 , c ) 9 : 64 , d ) 9 : 60 , e ) 20 : 64", "output": [ "c" ] }, { "id": "task1421-debeb2ecce754177b96395dd3208ea9a", "input": "Problem: share rs . 4200 among john , jose & binoy in the ration 2 : 4 : 6 . find the amount received by john ? \nOptions: a ) 900 , b ) 980 , c ) 1200 , d ) 1240 , e ) 1400", "output": [ "e" ] }, { "id": "task1421-b2e0c368838945409c3dd3314ccc8a4a", "input": "Problem: in a group of 50 people , 25 have visited iceland and 23 have visited norway . if 21 people have visited both iceland and norway , how many people have visited neither country ? \nOptions: a ) 20 , b ) 21 , c ) 22 , d ) 23 , e ) 24", "output": [ "d" ] }, { "id": "task1421-c596e266948045e2a71c316e0577eaa5", "input": "Problem: a dog breeder currently has 9 breeding dogs . 6 of the dogs have exactly 1 littermate , and 3 of the dogs have exactly 2 littermates . if 2 dogs are selected at random , what is the probability t that both selected dogs are not littermates ? \nOptions: a ) 1 / 6 , b ) 2 / 9 , c ) 5 / 6 , d ) 7 / 9 , e ) 8 / 9", "output": [ "c" ] }, { "id": "task1421-e9b2d06edb6d427799d3c1f67102e2d3", "input": "Problem: in assembling a bluetooth device , a factory uses one of two kinds of modules . one module costs $ 10 and the other one , that is cheaper , costs $ 6 . the factory holds a $ 80 worth stock of 12 modules . how many of the modules in the stock are of the cheaper kind ? \nOptions: a ) 20 , b ) 25 , c ) 10 , d ) 30 , e ) 35", "output": [ "c" ] }, { "id": "task1421-d1196c4a9b784323b38d841109b8d3b7", "input": "Problem: two vessels p and q contain 62.5 % and 87.5 % of alcohol respectively . if 8 litres from vessel p is mixed with 4 litres from vessel q , the ratio of alcohol and water in the resulting mixture is ? \nOptions: a ) 17 : 7 , b ) 18 : 8 , c ) 19 : 9 , d ) 19 : 5 , e ) 19 : 4", "output": [ "a" ] }, { "id": "task1421-5c6ab068e15d41cdb77444a7f641aad2", "input": "Problem: on a certain farm the ratio of horses to cows is 3 : 1 . if the farm were to sell 15 horses and buy 15 cows , the ratio of horses to cows would then be 5 : 3 . after the transaction , how many more horses than cows would the farm own ? \nOptions: a ) 20 , b ) 30 , c ) 40 , d ) 50 , e ) 60", "output": [ "b" ] }, { "id": "task1421-16746d2bf4794f7595dd320425825553", "input": "Problem: in a certain corporation , there are 300 male employees and 150 female employees . it is known that 50 % of the male employees have advanced degrees and 40 % of the females have advanced degrees . if one of the 450 employees is chosen at random , what is the probability this employee has an advanced degree or is female ? \nOptions: a ) 1 / 2 , b ) 2 / 3 , c ) 3 / 4 , d ) 4 / 5 , e ) 5 / 6", "output": [ "b" ] }, { "id": "task1421-eb5e92dde1b4411da9a3b31bbb6d2d5f", "input": "Problem: if a student loses 6 kilograms , he will weigh twice as much as his sister . together they now weigh 132 kilograms . what is the student ' s present weight in kilograms ? \nOptions: a ) 82 , b ) 84 , c ) 86 , d ) 88 , e ) 90", "output": [ "e" ] }, { "id": "task1421-71b9e7a09a0f48f2bf5bdf85b2db3b65", "input": "Problem: a certain high school has 500 students . of these students , 30 are taking music , 10 are taking art , and 10 are taking both music and art . how many students are taking neither music nor art ? \nOptions: a ) 430 , b ) 440 , c ) 450 , d ) 460 , e ) 470", "output": [ "e" ] }, { "id": "task1421-ca870d87205f4d4b887635e3071b7c83", "input": "Problem: the ratio of three numbers is 1 : 2 : 3 and the sum of their squares is 2016 . the sum of the numbers is ? \nOptions: a ) a ) 10 , b ) b ) 12 , c ) c ) 15 , d ) d ) 14 , e ) e ) 9", "output": [ "b" ] }, { "id": "task1421-b5adf14c29104d87bc547713a295d3f2", "input": "Problem: 100 people are attending a newspaper conference . 35 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ? \nOptions: a ) 21 , b ) 26 , c ) 28 , d ) 30 , e ) 32", "output": [ "b" ] }, { "id": "task1421-9f1adbf5f6a142d49e38ecba23e08a25", "input": "Problem: if log 2 = 0.3010 and log 3 = 0.4771 , the values of log 5 512 is \nOptions: a ) 3.879 , b ) 3.875 , c ) 3.872 , d ) 3.828 , e ) 3.192", "output": [ "b" ] }, { "id": "task1421-a18b60ab85074abcbad58dc817cad425", "input": "Problem: if $ 910 are divided between worker a and worker b in the ratio 5 : 9 , what is the share that worker b will get ? \nOptions: a ) 62.27 % , b ) 63.28 % , c ) 64.29 % , d ) 65.31 % , e ) 66.32 %", "output": [ "c" ] }, { "id": "task1421-ec8a278764244c82bf33f59a66af2bde", "input": "Problem: the ratio by weight , measured in pounds , of books to clothes to electronics in a suitcase initially stands at 5 : 4 : 2 . someone removes 9 pounds of clothing from the suitcase , thereby doubling the ratio of books to clothes . how many pounds do the electronics in the suitcase weigh ? \nOptions: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11", "output": [ "c" ] }, { "id": "task1421-2f846357657c495d9d9f00fe1fe1e557", "input": "Problem: in what ratio must tea at rs . 65 per kg be mixed with tea at rs . 70 per kg so that the mixture must be worth rs . 6 per kg ? \nOptions: a ) 1 : 1 , b ) 3 : 2 , c ) 4 : 3 , d ) 5 : 3 , e ) none", "output": [ "a" ] }, { "id": "task1421-742cdb7e1a314527a55ec5af59cf0a5f", "input": "Problem: the triplicate ratio of 1 : 8 is ? \nOptions: a ) 1 : 0 , b ) 1 : 8 , c ) 1 : 7 , d ) 1 : 512 , e ) 1 : 1", "output": [ "d" ] }, { "id": "task1421-e2ce2d274dcd4b67bb6e2167d4559869", "input": "Problem: if the numbers 1 to 98 are written on 98 pieces of paper , ( one on each ) and one piece is picked at random , then what is the probability that the number drawn is neither prime nor composite ? \nOptions: a ) 1 / 50 , b ) 1 / 25 , c ) 1 / 98 , d ) 1 , e ) 2", "output": [ "c" ] }, { "id": "task1421-88dd5407b22143eab6ec97ef1d414da4", "input": "Problem: if m = 3 ^ n , what is the greatest value of n for which m is a factor of 19 ! \nOptions: a ) 8 , b ) 10 , c ) 12 , d ) 14 , e ) 16", "output": [ "a" ] }, { "id": "task1421-d8e7ca696fcd403e94d190d3949dc725", "input": "Problem: if the numbers 1 to 100 are written on 100 pieces of paper , ( one on each ) and one piece is picked at random , then what is the probability that the number drawn is neither prime nor composite ? \nOptions: a ) 1 / 50 , b ) 1 / 25 , c ) 1 / 100 , d ) 1 , e ) 2", "output": [ "c" ] }, { "id": "task1421-7f2513b9e5404c1780f26f67ec728445", "input": "Problem: two numbers are in the ratio of 3 : 8 . if 24 be subtracted from each , they are in the ratio of 4 : 9 . find the numbers ? \nOptions: a ) 60,89 , b ) 60,88 , c ) - 27 , - 128 , d ) 60,84 , e ) - 72 , - 192", "output": [ "e" ] }, { "id": "task1421-cd5283926fc948c0b9a06e5ddebce881", "input": "Problem: a group of people participate in some curriculum , 25 of them practice yoga , 18 study cooking , 10 study weaving , 4 of them study cooking only , 5 of them study both the cooking and yoga , 4 of them participate all curriculums . how many people study both cooking and weaving ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "e" ] }, { "id": "task1421-2c13212f4ed24b27b0eb6c4f5a7d9532", "input": "Problem: the h . c . f . of two numbers is 30 and the other two factors of their l . c . m . are 13 and 14 . the larger of the two numbers is : \nOptions: a ) 276 , b ) 299 , c ) 420 , d ) 345 , e ) 365", "output": [ "c" ] }, { "id": "task1421-c1e8b08f0000458fac0d1472341059e3", "input": "Problem: a certain university will select 1 of 6 candidates eligible to fill a position in the mathematics department and 2 of 9 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ? \nOptions: a ) 216 , b ) 212 , c ) 214 , d ) 210 , e ) 120", "output": [ "a" ] }, { "id": "task1421-304d402102544d9cb0ece8d8aeb46333", "input": "Problem: uba capital recently bought brand new vehicles for office use . uba capital only went for toyota and honda and bought less of toyota than honda at the ratio of 7 : 3 . if 70 % of the toyota bought and 30 % of the honda bought were suv ã ¢ â ‚ ¬ â „ ¢ s . how many suv ã ¢ â ‚ ¬ â „ ¢ s did uba capital buy in the aforementioned purchase ? \nOptions: a ) 76 % , b ) 58 % , c ) 68 % , d ) 89 % , e ) 49 %", "output": [ "b" ] }, { "id": "task1421-57f7bf791b704703b077a2bfc3d2d3ee", "input": "Problem: what is the prime factors ’ number of 28 ? \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6", "output": [ "b" ] }, { "id": "task1421-7925c2eec04c43d1925fbcaedb9523b4", "input": "Problem: there are 22 kids in a classroom . 12 kids are wearing socks and 8 are wearing shoes . 6 kids are wearing both . how many are bare feet ? \nOptions: a ) 10 , b ) 2 , c ) 4 , d ) 5 , e ) 8", "output": [ "e" ] }, { "id": "task1421-b6f2217f43204a14b82d81c72ae4a495", "input": "Problem: in a group of 8 engineers , 3 engineers have a phd degree ; the others have only an ms or bs degree . a team of 3 engineers is to be chosen which must have at least 1 engineer with a phd , how many different teams can be chosen ? \nOptions: a ) 56 , b ) 46 , c ) 64 , d ) 65 , e ) 10", "output": [ "b" ] }, { "id": "task1421-99f9f060033d4148b5e346a9fab230a1", "input": "Problem: at a garage sale , all of the items were sold at different prices . if the price of a radio sold at the garage sale was both the 14 th highest price and the 21 st lowest price among the prices of the items sold , how many items were sold at the garage sale ? \nOptions: a ) 33 , b ) 34 , c ) 35 , d ) 36 , e ) 37", "output": [ "b" ] }, { "id": "task1421-b44e196961ee445ab9f16dfa942fe29e", "input": "Problem: out of 470 students of a school , 325 play football , 175 play cricket and 50 neither play football nor cricket . how many students play both football and cricket ? \nOptions: a ) 80 , b ) 150 , c ) 100 , d ) 180 , e ) 220", "output": [ "a" ] }, { "id": "task1421-c5ae18b16b394c6a89c44c8d40065032", "input": "Problem: x starts a business with rs . 77000 . y joins in the business after 5 months with rs . 42000 . what will be the ratio in which they should share the profit at the end of the year ? \nOptions: a ) 21 : 23 , b ) 23 : 45 , c ) 22 : 7 , d ) 25 : 29 , e ) none of these", "output": [ "c" ] }, { "id": "task1421-0f9a73f897864d4390f125070139f822", "input": "Problem: the value of log 5 ( 1 / 125 ) is \nOptions: a ) 3 , b ) - 3 , c ) 1 / 3 , d ) - 1 / 3 , e ) none", "output": [ "b" ] }, { "id": "task1421-ff940f84949549c2be69bb35d147f8b4", "input": "Problem: the ratio of sum of squares of first n natural numbers to square of sum of first n natural numbers is 17 : 325 . the value of n is \nOptions: ['a ) 15', 'b ) 25', 'c ) 35', 'd ) 30', 'e ) none of these']", "output": [ "b" ] }, { "id": "task1421-d74fa84014d0440ea1bb9eb7dea68815", "input": "Problem: divide $ 300 among a , b in the ratio 1 : 2 . how many $ that a get ? \nOptions: a ) $ 50 , b ) $ 500 , c ) $ 150 , d ) $ 250 , e ) $ 100", "output": [ "e" ] }, { "id": "task1421-145d367b271f4922b9036ba0a3da5cf2", "input": "Problem: in a neighborhood having 90 households , 11 did not have either a car or a bike . if 14 households had a both a car and a bike and 44 had a car , how many had bike only ? \nOptions: a ) 30 , b ) 35 , c ) 20 , d ) 18 , e ) 10", "output": [ "b" ] }, { "id": "task1421-5b90231e5e964024a1d90330a6a6c010", "input": "Problem: there are 2 available positions and 50 candidates , one half of whom are democrats and another half are republicans . if it was decided that the positions would be filled at random , then what is the probability q that the both positions will be taken by members of just one party ? \nOptions: a ) 1 / 25 , b ) 12 / 49 , c ) 1 / 4 , d ) 24 / 49 , e ) 1 / 2", "output": [ "d" ] }, { "id": "task1421-b96791c8cee34f76a68feca372658397", "input": "Problem: find the ratio between 1 hr 30 minutes and 2 hrs 40 minutes . \nOptions: a ) 9 : 16 , b ) 5 : 9 , c ) 12 : 17 , d ) 13 : 24 , e ) none of these", "output": [ "a" ] }, { "id": "task1421-1929b382c8104037a52c272ab4205ce2", "input": "Problem: three numbers are in the ratio of 3 : 4 : 6 and their product is 1944 . the largest of these numbers is \nOptions: a ) 6 , b ) 12 , c ) 18 , d ) 26 , e ) 28", "output": [ "c" ] }, { "id": "task1421-535d594feb6540ad96115fc5847326e8", "input": "Problem: in a class , 7 students like to play basketball and 8 like to play cricket . 5 students like to play on both basketball and cricket . how many students like to play basketball or cricket or both ? \nOptions: a ) 10 , b ) 15 , c ) 16 , d ) 18 , e ) 22", "output": [ "a" ] }, { "id": "task1421-6cf9bf22df63411abe2efc2d2c3779e5", "input": "Problem: in a certain town , the ratio of ny yankees fans to ny mets fans is 3 : 2 , and the ratio of ny mets fans to boston red sox fans is 4 : 5 . if there are 390 baseball fans in the town , each of whom is a fan of exactly one of those three teams , how many ny mets fans are there in this town ? \nOptions: a ) 84 , b ) 96 , c ) 104 , d ) 112 , e ) 120", "output": [ "c" ] }, { "id": "task1421-c937f90a20a1425a8194062f1e84fca9", "input": "Problem: a student committee on academic integrity has 30 ways to select a president and vice president from a group of candidates . the same person can not be both president and vice president . how many candidates are there ? \nOptions: a ) 7 , b ) 8 , c ) 9 , d ) 6 , e ) 11", "output": [ "d" ] }, { "id": "task1421-280846b38ea440f4b9b4cc4ed1d91c06", "input": "Problem: at the faculty of aerospace engineering , 312 students study random - processing methods , 222 students study scramjet rocket engines and 112 students study them both . if every student in the faculty has to study one of the two subjects , how many students are there in the faculty of aerospace engineering ? \nOptions: a ) 404 , b ) 452 , c ) 444 , d ) 468 , e ) 422", "output": [ "e" ] }, { "id": "task1421-2d7ac1207c024cda8acccc6abe513ef2", "input": "Problem: a certain fruit stand sold apples for $ 0.80 each and bananas for $ 0.70 each . if a customer purchased both apples and bananas from the stand for a total of $ 6.50 , what total number of apples and bananas did the customer purchase ? \nOptions: a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 12", "output": [ "b" ] }, { "id": "task1421-5fc5fd3098b84b8aa8e1ec35dbfe8f6e", "input": "Problem: the ratio of boarders to day students at a school was originally 2 to 5 . however , after a number of new boarders join the initial 60 boarders , the ratio changed to 1 to 2 . if no boarders became day students and vice versa , and no students left the school , how many new boarders joined the school ? \nOptions: a ) 12 , b ) 15 , c ) 20 , d ) 24 , e ) 30", "output": [ "b" ] }, { "id": "task1421-cbad519bffe14f3680af69fb28a71d68", "input": "Problem: if 80 percent of the test takers taking an old paper and pencil gmat exam answered the first question on a given math section correctly , and 75 percent of the test takers answered the second question correctly , and 5 percent of the test takers answered neither question correctly , what percent answered both correctly ? \nOptions: a ) 60 % , b ) 65 % , c ) 70 % , d ) 75 % , e ) 80 %", "output": [ "a" ] }, { "id": "task1421-adbb3d51d57a4bdca6d96cf611ddeb03", "input": "Problem: what is the square root of 144 , divided by 6 ? \nOptions: a ) 9 , b ) 36 , c ) 2 , d ) 6 , e ) 1", "output": [ "c" ] }, { "id": "task1421-df33510ed0424fb5a75f7c69b6dee0af", "input": "Problem: the ratio of 2 numbers is 10 : 20 and their h . c . f . is 100 . their l . c . m . is ? \nOptions: a ) 1100 , b ) 3000 , c ) 2100 , d ) 1000 , e ) 2000", "output": [ "e" ] }, { "id": "task1421-baaf606d40cb4d2d8bd1319a45504a8c", "input": "Problem: a began business with rs . 36000 and was joined afterwards by b with rs . 54000 . when did b join if the profits at the end of the year were divided in the ratio of 2 : 1 ? \nOptions: a ) 1 , b ) 6 , c ) 7 , d ) 8 , e ) 2", "output": [ "d" ] }, { "id": "task1421-f4c4e5af79614e51b783825a417b3971", "input": "Problem: initially , the men and women in a room were in the ratio of 4 : 5 . then , 2 men entered the room and 3 women left the room . then , the number of women doubled . now there are 14 men in the room . how many d women are currently in the room ? \nOptions: a ) 12 , b ) 14 , c ) 15 , d ) 24 , e ) 36", "output": [ "d" ] }, { "id": "task1421-beb733e5e0dd4f94861ac3e664f5a7f0", "input": "Problem: in a school 10 % of the boys are same in number as 1 / 6 th of the girls . what is the ratio of boys to the girls in the school ? \nOptions: a ) 5 : 3 , b ) 2 : 3 , c ) 1 : 4 , d ) 3 : 7 , e ) 2 : 5", "output": [ "a" ] }, { "id": "task1421-7d09aa356a5c4c2ba6c745344a0f388a", "input": "Problem: a class of boys stands in a single line , one boy is 19 th in order from both the ends , how many boys are there in the class ? \nOptions: a ) 37 , b ) 38 , c ) 27 , d ) 29 , e ) 11", "output": [ "a" ] }, { "id": "task1421-136daf8ba5a14fb88b3e4db0b57aa51a", "input": "Problem: the l . c . m of two numbers is 48 . the numbers are in the ratio 4 : 3 . the sum of numbers is : \nOptions: a ) 28 , b ) 30 , c ) 40 , d ) 50 , e ) 60", "output": [ "a" ] }, { "id": "task1421-f8924d9ac29f4dabbabb8f026b43b697", "input": "Problem: there are 9 executives , including the ceo and cfo , that are asked to form a small team of 5 members . however , the ceo and cfo may not both be assigned to the team . given this constraint , how many ways are there to form the team ? \nOptions: a ) 85 , b ) 87 , c ) 89 , d ) 91 , e ) 93", "output": [ "d" ] }, { "id": "task1421-05560e49aa3242c08007fdd0b81ceac1", "input": "Problem: the ratio of 2 numbers is 1 : 2 and their h . c . f . and l . c . m are 10 and 20 . find the numbers . \nOptions: a ) 20 , 10 , b ) 10 , 20 , c ) 20 , 30 , d ) 30 , 20 , e ) 10 , 10", "output": [ "b" ] }, { "id": "task1421-082495c73ead4ae0bb1147c9121fae10", "input": "Problem: at a meeting , 25 attendants used a pencil and 15 attendants used a pen . if exactly 20 attendants used only one of the two types of writing tools , how many attendants wrote with both types of writing tools ? \nOptions: a ) 10 , b ) 6 , c ) 7 , d ) 4 , e ) 14", "output": [ "a" ] }, { "id": "task1421-c9af1d57660d46c5a8fde6282bea5514", "input": "Problem: if shares of two persons in profits are rs . 400 and rs . 800 then ratio of their capitals is \nOptions: a ) 3 : 4 , b ) 2 : 3 , c ) 4 : 3 , d ) 1 : 3 , e ) 1 : 2", "output": [ "e" ] }, { "id": "task1421-66fe211c58114003986cd9532d7ebe12", "input": "Problem: among 400 students , 51 % study sociology , 46 % study mathematics and 40 % study biology . if 34 % of students study both mathematics and sociology , what is the largest possible number of students who study biology but do not study either mathematics or sociology ? \nOptions: a ) 30 , b ) 90 , c ) 148 , d ) 172 , e ) 188", "output": [ "c" ] }, { "id": "task1421-5d03611e0d5840649b2f2842c7bf4470", "input": "Problem: the triplicate ratio of 2 : 4 is ? \nOptions: a ) 1 : 64 , b ) 1 : 8 , c ) 1 : 34 , d ) 3 : 64 , e ) 5 : 64", "output": [ "b" ] }, { "id": "task1421-80e289d3d9424d0ab81ad09814e96938", "input": "Problem: find the fraction which has the same ratio to 1 / 2 that 2 / 5 has to 3 / 7 \nOptions: a ) 1 / 2 , b ) 2 / 12 , c ) 14 / 30 , d ) 3 / 8 , e ) 7 / 9", "output": [ "c" ] }, { "id": "task1421-f6e71c40a7134801b3637ca664de4d71", "input": "Problem: 75 persons major in physics , 83 major in chemistry , 10 not at major in these subjects u want to find number of students majoring in both subjects \nOptions: a ) 65 , b ) 66 , c ) 67 , d ) 68 , e ) 69", "output": [ "d" ] }, { "id": "task1421-929caca451ae461a975972e363913481", "input": "Problem: sara bought both german chocolate and swiss chocolate for some cakes she was baking . the swiss chocolate cost $ 2.5 per pound , and german chocolate cost $ 1.5 per pound . if the total the she spent on chocolate was $ 30 and both types of chocolate were purchased in whole number of pounds , how many total pounds of chocolate she purchased ? \nOptions: a ) 7 , b ) 18 , c ) 10 , d ) 12 , e ) 11", "output": [ "b" ] }, { "id": "task1421-9a36555c79424ce2b72391d4a62bc3fb", "input": "Problem: the ratio between the number of sheep and the number of horses at the stewar farm is 2 to 7 . if each of horse is fed 230 ounces of horse food per day and the farm needs a total 12880 ounces of horse food per day . what is number sheep in the form ? ? \nOptions: a ) 18 , b ) 16 , c ) 32 , d ) 56 , e ) 58", "output": [ "b" ] }, { "id": "task1421-f25c424228644332ae3b402d6fb00c3b", "input": "Problem: if log 0.318 = 0.3364 and log 0.317 = 0.33320 then log 0.319 = ? \nOptions: a ) 0.33365 , b ) 0.3368 , c ) 0.3396 , d ) 0.3369 , e ) 0.3469", "output": [ "c" ] }, { "id": "task1421-9570e2d49cd1497ab0eab79e15bd92a2", "input": "Problem: at an m & m factory , two types of m & ms are produced , red and blue . the m & ms are transported individually on a conveyor belt . anna is watching the conveyor belt , and has determined that 4 out of every 5 red m & ms are followed by a blue one , while one out of every 6 blue m & ms is followed by a red one . what proportion of the m & ms are red ? \nOptions: a ) 1 / 29 , b ) 2 / 29 , c ) 3 / 29 , d ) 4 / 29 , e ) 5 / 29", "output": [ "e" ] }, { "id": "task1421-fd535f9515da4f2b966bb9cb44e2c96a", "input": "Problem: in what ratio must tea at rs . 60 per kg be mixed with tea at rs . 70 per kg so that the mixture must be worth rs . 63 per kg ? \nOptions: a ) 3 : 1 , b ) 3 : 2 , c ) 4 : 3 , d ) 7 : 3 , e ) none", "output": [ "d" ] }, { "id": "task1421-60d187a308294e6fa6f9d7ed5fd72203", "input": "Problem: a starts business with rs . 3500 and after 9 months , b joins with a as his partner . after a year , the profit is divided in the ratio 2 : 3 . what is b â € ™ s contribution in the capital ? \nOptions: a ) 24887 , b ) 20778 , c ) 23788 , d ) 21000 , e ) 2811", "output": [ "d" ] }, { "id": "task1421-6a85c9bb010b4d9990ed3579d86dd00c", "input": "Problem: a bag holds 5 red marbles and 5 green marbles . if you removed two randomly selected marbles from the bag , without replacement , what is the probability that both would be red ? \nOptions: a ) 1 / 6 , b ) 2 / 5 , c ) 3 / 10 , d ) 2 / 9 , e ) 1 / 2", "output": [ "d" ] }, { "id": "task1421-555ffc3546ac45a3bcc8d5120ed9d701", "input": "Problem: a number is said to be prime saturated if the product of all the different positive prime factors of z is less than the square root of z . what is the greatest two digit prime saturated integer ? \nOptions: a ) 99 , b ) 98 , c ) 97 , d ) 96 , e ) 95", "output": [ "d" ] }, { "id": "task1421-ae713492298c44fb8069812618343d72", "input": "Problem: the ratio between the number of sheep and the number of horses at the stewar farm is 6 to 7 . if each of horse is fed 230 ounces of horse food per day and the farm needs a total 12880 ounces of horse food per day . what is number sheep in the form ? ? \nOptions: a ) 18 , b ) 28 , c ) 32 , d ) 48 , e ) 58", "output": [ "d" ] }, { "id": "task1421-3ade1745779d441db4824c264554ae2e", "input": "Problem: how many prime numbers between 1 and 100 are factors of 67830 ? \nOptions: a ) 4 , b ) 5 , c ) 6 , d ) 3 , e ) 2", "output": [ "c" ] }, { "id": "task1421-1ded0b35212f4b74a4843422ca6e5c5a", "input": "Problem: a farmer used 1,034 acres of land for beans , wheat , and corn in the ratio of 5 : 2 : 4 , respectively . how many w acres were used for corn ? \nOptions: a ) 188 , b ) 258 , c ) 376 , d ) 470 , e ) 517", "output": [ "c" ] }, { "id": "task1421-14972a163a0141518f36db031b8332dc", "input": "Problem: a certain company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales in 1997 were up 7 percent from 1996 . if total revenues from car sales and truck sales in 1997 were up 1 percent from 1996 , what is the ratio of revenue from car sales in 1996 to revenue from truck sales in 1996 ? \nOptions: a ) 1 : 2 , b ) 4 : 5 , c ) 1 : 1 , d ) 3 : 2 , e ) 5 : 3", "output": [ "a" ] }, { "id": "task1421-fb363e7dd0954db284aac4cc474b4964", "input": "Problem: there are 600 students in a school . the ratio of boys and girls in this school is 3 : 5 . find the total of girls & boys are there in this school ? \nOptions: a ) 243 , b ) 265 , c ) 375 , d ) 390 , e ) 400", "output": [ "c" ] }, { "id": "task1421-fd62b3dd28c04970b97b08f5b4d973c8", "input": "Problem: income and expenditure of a person are in the ratio 5 : 4 . if the income of the person is rs . 17000 , then find his savings ? \nOptions: a ) 3600 , b ) 3400 , c ) 3608 , d ) 3602 , e ) 3603", "output": [ "b" ] }, { "id": "task1421-a42798102ea54cd2a3e5205d2fd5144b", "input": "Problem: if the numbers 1 to 99 are written on 99 pieces of paper , ( one on each ) and one piece is picked at random , then what is the probability that the number drawn is neither prime nor composite ? \nOptions: a ) 1 / 50 , b ) 1 / 25 , c ) 1 / 99 , d ) 1 , e ) 2", "output": [ "c" ] }, { "id": "task1421-d77118cbf823483d89dc656dab328ade", "input": "Problem: the probability that a computer company will get a computer hardware contract is 3 / 4 and the probability that it will not get a software contract is 3 / 5 . if the probability of getting at least one contract is 5 / 6 , what is the probability that it will get both the contracts ? \nOptions: a ) 7 / 30 , b ) 11 / 40 , c ) 17 / 50 , d ) 19 / 60 , e ) 33 / 80", "output": [ "d" ] }, { "id": "task1421-5bb3dc654d1848a485e54bc7e6166c03", "input": "Problem: a certain bag contains 60 balls — 22 white , 18 green , 5 yellow , 6 red , and 9 purple . if a ball is to be chosen at random , what is the probability that the ball will be neither red nor purple ? \nOptions: a ) 0.09 , b ) 0.15 , c ) 0.54 , d ) 0.75 , e ) 0.91", "output": [ "d" ] }, { "id": "task1421-ef55cf151beb4e97807bf779a41085c5", "input": "Problem: what is the square root of 81 ? \nOptions: a ) 2 , b ) 8 , c ) 12 , d ) 9 , e ) 16", "output": [ "d" ] }, { "id": "task1421-6fd2268b317e41be8b7022dc2f07a8e9", "input": "Problem: in what ratio must rice of rs . 25 per kg be mixed with rice of rs . 12 per kg so that cost of mixture is rs . 20 per kg ? \nOptions: a ) 8 : 5 , b ) 5 : 8 , c ) 20 : 25 , d ) 12 : 20 , e ) 25 : 12", "output": [ "a" ] }, { "id": "task1421-22e3de6a08a4443994ddfafe6684dc86", "input": "Problem: two numbers are in the ratio of 5 : 7 . if 25 is subtracted from each number , they are in the ratio of 5 : 9 . what are the two numbers ? \nOptions: a ) 45 , 63 , b ) 50 , 70 , c ) 55 , 77 , d ) 60 , 84 , e ) 65 , 91", "output": [ "b" ] }, { "id": "task1421-190b78b884ed4d56b2c2cfcc856b1568", "input": "Problem: a certain quantity of 60 % solution is replaced with 25 % solution such that the new concentration is 35 % . what is the fraction of the solution that was replaced ? \nOptions: a ) 1 / 4 , b ) 1 / 3 , c ) 1 / 2 , d ) 2 / 3 , e ) 5 / 7", "output": [ "e" ] }, { "id": "task1421-d352f30913984ba6b895cb3394e1558c", "input": "Problem: at a certain company , two - thirds of the employees had cell phones and two - fifths had pagers . if one - third of the employees had neither cell phones nor pagers then what fraction of the employees had both cell phones and pagers ? \nOptions: a ) 7 / 5 , b ) 6 / 11 , c ) 2 / 5 , d ) 1 / 3 , e ) 4 / 15", "output": [ "c" ] }, { "id": "task1421-d75b36a02b134c018c3767e45b966179", "input": "Problem: the rational number for recurring decimal 0.125125 . . . . is : \nOptions: a ) 125 / 990 , b ) 125 / 999 , c ) 125 / 900 , d ) 12 / 999 , e ) 12 / 990", "output": [ "b" ] }, { "id": "task1421-fd258ec056f1464ba5495b4c899386cd", "input": "Problem: a certain university will select 1 of 7 candidates eligible to fill a position in the mathematics department and 2 of 11 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ? \nOptions: a ) 42 , b ) 70 , c ) 140 , d ) 165 , e ) 385", "output": [ "e" ] }, { "id": "task1421-a599ee285d9840028f6ff7aed843a83b", "input": "Problem: the ratio of pens to pencils is 5 to 6 . there are 5 more pencils than pens . how many pencils are there ? \nOptions: a ) 24 , b ) 30 , c ) 36 , d ) 42 , e ) 48", "output": [ "b" ] }, { "id": "task1421-6a44fb8aa54b4f70a0c9c8041e44c9bf", "input": "Problem: a cat leaps 5 leaps for every 4 leaps of a dog , but 3 leaps of the dog are equal to 4 leaps of the cat . what is the ratio of the speed of the cat to that of the dog ? \nOptions: a ) 11 : 15 , b ) 15 : 11 , c ) 16 : 15 , d ) 15 : 16 , e ) 11 : 16", "output": [ "d" ] }, { "id": "task1421-de6a7aab8e2f450f925798be6e88a3bd", "input": "Problem: if a and b are in the ratio 3 : 4 , and b and c in the ratio 12 : 13 , then a and c will be in the ratio \nOptions: a ) 3 : 13 , b ) 9 : 13 , c ) 36 : 13 , d ) 13 : 9 , e ) none", "output": [ "b" ] }, { "id": "task1421-98badf8c3cf94a129960e3c0de97412a", "input": "Problem: two numbers are in the ratio of 1 : 2 . if 7 be added to both , their ratio changes to 3 : 5 . the greater number is \nOptions: a ) 20 , b ) 24 , c ) 28 , d ) 32 , e ) 36", "output": [ "c" ] }, { "id": "task1421-82fa7585ea1644e6a7aa28b64de2756f", "input": "Problem: in a class of 40 students , 10 did not opt for math . 15 did not opt for science and 2 did not opt for either . how many students of the class opted for both math and science ? \nOptions: a ) 13 , b ) 15 , c ) 7 , d ) 17 , e ) 18", "output": [ "c" ] }, { "id": "task1421-4a512c1f8c0446fe8e5f65cb03ba5649", "input": "Problem: if log 2 = 0.30103 , the number of digits in 2128 is . \nOptions: a ) 38 , b ) 39 , c ) 40 , d ) 41 , e ) 56", "output": [ "b" ] }, { "id": "task1421-f1c399f9673145b887c6738e03546c9e", "input": "Problem: a can contains a mixture of liquids a and b is the ratio 7 : 5 . when 9 litres of mixture are drawn off and the can is filled with b , the ratio of a and b becomes 7 : 9 . how many liter w of liquid a was contained by the can initially ? \nOptions: a ) 10 , b ) 20 , c ) 21 , d ) 25 , e ) 27", "output": [ "c" ] }, { "id": "task1421-f04655719aaa49238599d1c5d80b5d56", "input": "Problem: the compound ratio of 1 : 2 , 2 : 5 and 3 : 10 ? \nOptions: a ) 1 : 2 , b ) 1 : 5 , c ) 3 : 5 , d ) 1 : 50 , e ) 3 : 50", "output": [ "e" ] }, { "id": "task1421-14342fb87bf74b47ad5022de1faae7e4", "input": "Problem: share rs . 6000 among john , jose & binoy in the ration 2 : 4 : 6 . find the amount received by john ? \nOptions: a ) 900 , b ) 980 , c ) 1200 , d ) 1240 , e ) 2000", "output": [ "e" ] }, { "id": "task1421-e9069d3378c1436aabda09acbdee7bbe", "input": "Problem: if the ratio of s . i earned on certain amount on same rate is 4 : 5 . what is the ratio of time ? \nOptions: a ) 1 : 2 , b ) 6 : 9 , c ) 4 : 5 , d ) 2 : 3 , e ) not possible to calculate", "output": [ "c" ] }, { "id": "task1421-e5c87a60c6bb4f278e8fdcdb8e35e3be", "input": "Problem: a certain university will select 1 of 5 candidates eligible to fill a position in the mathematics department and 2 of 10 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ? \nOptions: a ) 42 , b ) 70 , c ) 140 , d ) 165 , e ) 225", "output": [ "e" ] }, { "id": "task1421-a9202301a72e4ceb8d83a3c0b5d876bb", "input": "Problem: the ratio of the present age of viju to that of aju is 7 : 2 . 4 years from now , the ratio of the ages of viju to aju will be 5 : 2 . what was viju age 5 years ago ? ( rbi assistant 2015 ) \nOptions: a ) 24 , b ) 18 , c ) 12 , d ) 16 , e ) 13", "output": [ "d" ] }, { "id": "task1421-968809af25384866bda2c5af30907c80", "input": "Problem: the weights of one liter vegetable ghee packet of two brands ‘ a ’ and ‘ b ’ are 900 gm and 850 gm respectively . if they are mixed in the ratio of 3 : 2 by volumes to form a mixture of 4 liters , what is the weight ( in kg ) of the mixture ? \nOptions: a ) 3.84 , b ) 1.75 , c ) 3.52 , d ) 2.72 , e ) none of these", "output": [ "c" ] }, { "id": "task1421-1757a773aed64b62b2a336b45a511085", "input": "Problem: a group of people participate in some curriculum , 25 of them practice yoga , 15 study cooking , 8 study weaving , 2 of them study cooking only , 7 of them study both the cooking and yoga , 3 of them participate all curriculums . how many people study both cooking and weaving ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "c" ] }, { "id": "task1421-dae6609e56e44527ae5e06b94308b4a5", "input": "Problem: in a graduating class of 232 students , 144 took geometry and 119 took biology . what is the difference between the greatest possible number i and the smallest possible number of students that could have taken both geometry and biology ? \nOptions: a ) 144 , b ) 119 , c ) 113 , d ) 88 , e ) 31", "output": [ "d" ] }, { "id": "task1421-000cba68b3c64e158a97d160518b07e5", "input": "Problem: in a certain large company , the ratio of college graduates with a graduate degree to non - college graduates is 1 : 8 , and ratio of college graduates without a graduate degree to non - college graduates is 2 : 3 . if one picks a random college graduate at this large company , what is the probability q this college graduate has a graduate degree ? \nOptions: a ) 1 / 11 , b ) 1 / 12 , c ) 1 / 13 , d ) 3 / 19 , e ) 3 / 43", "output": [ "d" ] }, { "id": "task1421-2ee3af5268324f66b8e624bc210a406f", "input": "Problem: a shipment of 250 smartphones contains 84 that are defective . if a customer buys two smartphones at random from the shipment , what is the approximate probability that both phones are defective ? a . b . c . d . e . \nOptions: a ) 1 / 250 , b ) 1 / 84 , c ) 1 / 11 , d ) 1 / 9 , e ) 1 / 3", "output": [ "d" ] }, { "id": "task1421-d827b01817f144a6af441bb6cb7f916a", "input": "Problem: how many of the positive factors of 14 are not factors of 21 ? \nOptions: a ) 4 , b ) 3 , c ) 1 , d ) 2 , e ) 0", "output": [ "c" ] }, { "id": "task1421-e52abe42dd594942ad59370871addf94", "input": "Problem: ratio between rahul and deepak is 4 : 3 , after 6 years rahul age will be 30 years . what is deepak present age ? \nOptions: a ) 18 , b ) 15 , c ) 77 , d ) 266 , e ) 182", "output": [ "a" ] }, { "id": "task1421-3251d6a1b2604bd4aa874c5e933490c7", "input": "Problem: the triplicate ratio of 1 : 5 is ? \nOptions: a ) 1 : 7 , b ) 1 : 8 , c ) 1 : 3 , d ) 1 : 1 , e ) 1 : 125", "output": [ "e" ] }, { "id": "task1421-4a32856862bc485190d9d06c2e28b95c", "input": "Problem: if 75 percent of a class answered the first question on a certain test correctly , 30 percent answered the second question on the test correctly , and 20 percent answered neither of the questions correctly , what percent answered both correctly ? \nOptions: a ) 25 % , b ) ( 8 ) 20 % , c ) 30 % , d ) 50 % , e ) 65 %", "output": [ "a" ] }, { "id": "task1421-3f946eb6bf5843e4ae6b6715d8f5089a", "input": "Problem: a marketing firm determined that , of 200 households surveyed , 80 used neither brand e nor brand b soap , 60 used only brand e soap , and for every household that used both brands of soap , 3 used only brand b soap . how many of the 200 households surveyed used both brands of soap ? \nOptions: a ) 15 , b ) 20 , c ) 30 , d ) 40 , e ) 45", "output": [ "d" ] }, { "id": "task1421-f5485415c81b42c9bdf7c4024020d5cc", "input": "Problem: if the ratio of apples to bananas is 5 to 2 and the ratio of bananas to cucumbers is 1 to 4 , what is the ratio of apples to cucumbers ? \nOptions: a ) 1 : 3 , b ) 2 : 5 , c ) 3 : 5 , d ) 5 : 8 , e ) 4 : 7", "output": [ "d" ] }, { "id": "task1421-a4272ec0dbb0447eae78d27b848e1aca", "input": "Problem: the ratio of two quantities is 3 to 4 . if each of the quantities is increased 4 and 3 respectively , what is the ratio of these two new quantities ? \nOptions: a ) 3 / 4 , b ) 8 / 9 , c ) 18 / 19 , d ) 23 / 24 , e ) it can not be determined from the information given", "output": [ "e" ] }, { "id": "task1421-7f85684704d84bf1912e209208150454", "input": "Problem: the compound ratio of 5 : 6 , 5 : 2 and 4 : 5 ? \nOptions: a ) 1 : 1 , b ) 5 : 3 , c ) 1 : 6 , d ) 1 : 9 , e ) 1 : 2", "output": [ "b" ] }, { "id": "task1421-7682914da9514f509165c40a84a25b5a", "input": "Problem: a bag contains 12 red marbles . if someone were to remove 2 marbles from the bag , one at a time , and replace the first marble after it was removed , the probability that neither marble would be red is 36 / 49 . how many marbles are in the bag ? \nOptions: a ) 24 , b ) 48 , c ) 84 , d ) 72 , e ) 80", "output": [ "c" ] }, { "id": "task1421-672de0588754400bb3ea9c803f16b12f", "input": "Problem: bag a contains red , white and blue marbles such that the red to white marble ratio is 1 : 3 and the white to blue marble ratio is 2 : 3 . bag b contains red and white marbles in the ratio of 1 : 4 . together , the two bags contain 22 white marbles . how many red marbles could be in bag a ? \nOptions: a ) 1 , b ) 3 , c ) 4 , d ) 2 , e ) 8", "output": [ "d" ] }, { "id": "task1421-029dcf751b8e42a2979011a7ec59f456", "input": "Problem: the compound ratio of 1 : 2 , 3 : 2 and 4 : 5 ? \nOptions: a ) 1 : 9 , b ) 1 : 7 , c ) 1 : 2 , d ) 3 : 5 , e ) 1 : 4", "output": [ "d" ] }, { "id": "task1421-2c17b30ff9694b2895c32d13746d40c7", "input": "Problem: the h . c . f . of two numbers is 23 and the other two factors of their l . c . m . are 10 and 12 . the larger of the two numbers is : \nOptions: a ) 276 , b ) 295 , c ) 322 , d ) 345 , e ) 354", "output": [ "a" ] }, { "id": "task1421-faa1bdf653c14f678b2a674786ea0651", "input": "Problem: in a group of 6 boys & 4 girls a committee of 4 persons is to be formed . in how many different ways can it be done so that the committee has at least 1 girl ? \nOptions: a ) 187 , b ) 190 , c ) 192 , d ) 195 , e ) 213", "output": [ "d" ] }, { "id": "task1421-b5a1eb42468c4096886575812a9716fd", "input": "Problem: how many terminating zeroes w does 200 ! have ? \nOptions: a ) 40 , b ) 48 , c ) 49 , d ) 55 , e ) 64", "output": [ "c" ] }, { "id": "task1421-ad22e74fb5bc46fba4a900eab79c3cb3", "input": "Problem: a salesman sold twice as much pears in the afternoon than in the morning . if he sold $ 510 kilograms of pears that day , how many kilograms did he sell in the afternoon ? \nOptions: a ) 120 , b ) 180 , c ) 340 , d ) 280 , e ) 320", "output": [ "c" ] }, { "id": "task1421-deff0f167d8e4773b6cdddc65425935b", "input": "Problem: ashley paid 5 dollars for 1 notebook and 1 pencil . if both prices were integers , how many pencils did ashley buy if she paid 93 dollars for the pencils and for 15 notebooks ? \nOptions: a ) 6 . , b ) 16 . , c ) 18 , d ) 21 , e ) 26", "output": [ "d" ] }, { "id": "task1421-db995c1671404a2492367be8517c86f8", "input": "Problem: the monthly incomes of a and b are in the ratio 5 : 2 . b ' s monthly income is 12 % more than c ' s monthly income . if c ' s monthly income is rs . 17000 , then find the annual income of a ? \nOptions: a ) rs . 571200 , b ) rs . 180000 , c ) rs . 201600 , d ) rs . 504000 , e ) none of these", "output": [ "a" ] }, { "id": "task1421-4e6ebefe7a1942398b55387a65c99c92", "input": "Problem: what is the greatest positive integer n such that 3 ^ n is a factor of 36 ^ 300 ? \nOptions: a ) 100 , b ) 200 , c ) 300 , d ) 600 , e ) 900", "output": [ "d" ] }, { "id": "task1421-c87ca6a17e8342afb25c181169bffa06", "input": "Problem: if shares of two persons in profits are rs . 700 and rs . 300 then ratio of their capitals is \nOptions: a ) 3 : 4 , b ) 2 : 3 , c ) 7 : 3 , d ) 1 : 3 , e ) 1 : 5", "output": [ "c" ] }, { "id": "task1421-4ad2ba6271e849c18a4def3e5e2a581c", "input": "Problem: in township k , 1 / 5 of the housing units are equiped with cable tv . if 1 / 15 of the housing units , including 1 / 3 of those that are equiped with cable tv , are equipped with videocassette recorders , what fraction of the housing units have neither cable tv nor videocassette recorders ? \nOptions: a ) 23 / 30 , b ) 11 / 15 , c ) 7 / 10 , d ) 4 / 5 , e ) 2 / 15", "output": [ "d" ] }, { "id": "task1421-0f7e8a02763a4177ba5e9262b35dab70", "input": "Problem: which digits should come in place of @ and # if the number 62684 @ # is divisible by both 8 and 5 ? \nOptions: a ) 4,0 , b ) 0,4 , c ) 4,4 , d ) 0,0 , e ) none", "output": [ "a" ] }, { "id": "task1421-83852ac0455b491797d3c7d34ffdbd29", "input": "Problem: in a neighborhood having 90 households , 11 did not have either a car or a bike . if 22 households had a both a car and a bike and 44 had a car , how many had bike only ? \nOptions: a ) 30 , b ) 35 , c ) 20 , d ) 18 , e ) 10", "output": [ "b" ] }, { "id": "task1421-edd993a166f549af997a4a770e20e32d", "input": "Problem: what is the ratio of arun ' s monthly income in the year 2006 , suman ' s monthly income in the year 2007 and jyothi ' s monthly income in the year 2005 ? \nOptions: a ) 22 , b ) 67 , c ) 26 , d ) 18 , e ) 16", "output": [ "a" ] }, { "id": "task1421-4ff92f40e4744e32baee4b006b3c33ab", "input": "Problem: a certain bag contains 60 balls — 22 white , 18 green , 8 yellow , 5 red , and 7 purple . if a ball is to be chosen at random , what is the probability that the ball will be neither red nor purple ? \nOptions: a ) 0.09 , b ) 0.15 , c ) 0.54 , d ) 0.8 , e ) 0.91", "output": [ "d" ] }, { "id": "task1421-dba15793c87c4a46b3a82e09c9355613", "input": "Problem: in what ratio water be mixed with milk costing rs . 12 per liter to obtain a mixture worth of rs . 8 per litre ? \nOptions: a ) 2 : 7 , b ) 1 : 2 , c ) 2 : 9 , d ) 2 : 2 , e ) 2 : 6", "output": [ "b" ] }, { "id": "task1421-c04a7b0fe5f24196be1a8a3b9688df21", "input": "Problem: what number has a 5 : 1 ratio to the number 10 ? \nOptions: a ) 74 , b ) 50 , c ) 94 , d ) 59 , e ) 48", "output": [ "b" ] }, { "id": "task1421-d0b74a3751e343fe872e428736e053b8", "input": "Problem: veena ranks 79 rd from the top in a class of 182 . what is her rank from the bottom if 22 students have failed the examination ? \nOptions: a ) 88 , b ) 108 , c ) 82 , d ) 90 , e ) 93", "output": [ "c" ] }, { "id": "task1421-1d2acd9370ad46b1beec1a402aa6bcc8", "input": "Problem: a bag contains 5 green and 8 white balls . if two balls are drawn simultaneously , the probability that both are of the same colour is \nOptions: a ) 8 / 15 , b ) 2 / 5 , c ) 3 / 5 , d ) 11 / 15 , e ) 19 / 39", "output": [ "e" ] }, { "id": "task1421-d2ba4e5d80744d64a72f5137ac40282d", "input": "Problem: if p and q are both odd prime numbers andp < q , then how many different positive integer factors does 2 pqhave ? \nOptions: a ) 3 , b ) 4 , c ) 6 , d ) 8 , e ) 12", "output": [ "d" ] }, { "id": "task1421-9a36d59bdec141bb9691b712e779f99a", "input": "Problem: a grocery store bought some mangoes at a rate of 5 for a dollar . they were separated into two stacks , one of which was sold at a rate of 5 for a dollar and the other at a rate of 5 for a dollar . what was the ratio of the number of mangoes in the two stacks if the store broke even after having sold all of its mangoes ? \nOptions: a ) 1 : 1 , b ) 1 : 5 , c ) 2 : 3 , d ) 1 : 2 , e ) 2 : 5", "output": [ "a" ] }, { "id": "task1421-c4fcea56d8f14e09ba93a1141506261f", "input": "Problem: how many factors of 880 are odd numbers greater than 1 ? \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "a" ] }, { "id": "task1421-61142debd33b476fad3c7466b3a7756b", "input": "Problem: a person want to give his money of $ 3600 to his 3 children a , b , c in the ratio 2 : 3 : 4 . what is the b ' s share ? \nOptions: a ) $ 2000 , b ) $ 1200 , c ) $ 2500 , d ) $ 1800 , e ) $ 1600", "output": [ "b" ] }, { "id": "task1421-f15fc1fd52e642118f2d4776e3a4fc3d", "input": "Problem: the l . c . m of two numbers is 48 . the numbers are in the ratio 2 : 3 . the sum of numbers is ? \nOptions: a ) 22 , b ) 67 , c ) 40 , d ) 88 , e ) 11", "output": [ "c" ] }, { "id": "task1421-388d279d1f3a4eff855eea85e30a38b9", "input": "Problem: the ratio of the number of females to males at a party was 1 : 2 but when 6 females and 6 males left , the ratio became 1 : 3 . how many people were at the party originally ? \nOptions: a ) 24 , b ) 28 , c ) 32 , d ) 36 , e ) 40", "output": [ "d" ] }, { "id": "task1421-5f758a49dd984f37a63c647b528fe3f3", "input": "Problem: a college has classes from 10 : 00 am until 1 : 40 pm . in this duration , there are 5 periods . if 5 minutes are provided between each period to leave one class and enter the next class , how many minutes long is each period ? \nOptions: a ) 38 min , b ) 41 min , c ) 40 min , d ) 42 min , e ) 52 min", "output": [ "c" ] }, { "id": "task1421-9cf29fe0aa1147e18b397f9737f83072", "input": "Problem: two numbers are in respectively 10 % and 40 % more than a third number . the ratio of the two numbers is ? \nOptions: a ) 11 : 14 , b ) 7 : 9 , c ) 17 : 25 , d ) 15 : 26 , e ) 2 : 3", "output": [ "a" ] }, { "id": "task1421-9b9b628131af42cf971ae14320988fae", "input": "Problem: in a college , the ratio of the number of boys to girls is 8 : 4 . if there are 200 girls , the total number of students in the college is \nOptions: a ) 420 , b ) 520 , c ) 600 , d ) 720 , e ) 820", "output": [ "c" ] }, { "id": "task1421-f50b6082b79a48edafad745b8b55763e", "input": "Problem: a person want to give his money of $ 1000 to his 4 children a , b , c , d in the ratio 2 : 4 : 3 : 1 . what is the a + d share ? \nOptions: a ) $ 100 , b ) $ 200 , c ) $ 300 , d ) $ 500 , e ) $ 600", "output": [ "c" ] }, { "id": "task1421-7074d67a31c745d4a2f40a2c0f96a0f2", "input": "Problem: of the 200 stamps in a collection , 90 are foreign and 60 are more than 10 years old . if 20 stamps are both foreign and more than 10 years old , how many stamps are neither foreign nor more than 10 years old ? \nOptions: a ) 50 , b ) 70 , c ) 100 , d ) 130 , e ) 150", "output": [ "b" ] }, { "id": "task1421-bf86fa21700b4e1084d224baedde64a2", "input": "Problem: the compound ratio of 5 : 6 , 3 : 2 and 6 : 5 ? \nOptions: a ) 1 : 1 , b ) 1 : 87 , c ) 1 : 6 , d ) 3 : 2 , e ) 1 : 2", "output": [ "d" ] }, { "id": "task1421-0d265dad762143368169da3442800e39", "input": "Problem: praveen starts business with rs . 3780 and after 5 months , hari joins with praveen as his partner . after a year , the profit is divided in the ratio 2 : 3 . what is hari ’ s contribution in the capital ? \nOptions: a ) s . 7500 , b ) s . 8000 , c ) s . 8500 , d ) s . 9720 , e ) s . 6000", "output": [ "d" ] }, { "id": "task1421-db644114774148c6b9300927ed8358cd", "input": "Problem: find the probability that the number drawn is a factor of 50 . \nOptions: a ) 1 / 25 , b ) 1 / 50 , c ) 3 / 25 , d ) 3 / 50 , e ) 7 / 50", "output": [ "d" ] }, { "id": "task1421-1399b965377a4f8ca2c999845bf88f22", "input": "Problem: a starts business with rs . 3500 and after 8 months , b joins with a as his partner . after a year , the profit is divided in the ratio 2 : 3 . what is b â € ™ s contribution in the capital ? \nOptions: a ) 24887 , b ) 20778 , c ) 23788 , d ) 15750 , e ) 2811", "output": [ "d" ] }, { "id": "task1421-3c45bc810015455d857faf9ce6ad206f", "input": "Problem: the duplicate ratio of 4 : 5 is ? \nOptions: a ) 1 : 2 , b ) 1 : 4 , c ) 1 : 8 , d ) 1 : 18 , e ) 16 : 25", "output": [ "e" ] }, { "id": "task1421-a185a7fe754c4b7693d8f34e7f53be30", "input": "Problem: sandy is younger than molly by 12 years . if their ages are in the respective ratio of 7 : 9 , how old is molly ? \nOptions: a ) 36 , b ) 45 , c ) 54 , d ) 63 , e ) 72", "output": [ "c" ] }, { "id": "task1421-ab41edab5af443afb0be11a1a7c571dd", "input": "Problem: into a room you store 38 black bottles and 4 green bottles , and you turn off the light . if you ask to someone look for 2 bottles without turn on the light , what is the probability of both the selected bottles will be green ? \nOptions: a ) 1 / 574 , b ) 2 / 574 , c ) 1 / 287 , d ) 2 / 287 , e ) 3 / 287", "output": [ "d" ] }, { "id": "task1421-91482c1bb5614ca1bca29f82f9b2812e", "input": "Problem: in a certain animal shelter , the ratio of the number of dogs to the number of cats is 15 to 7 . if 20 additional cats were to be taken in by the shelter , the ratio of the number of dogs to the number of cats would be 15 to 11 . how many dogs are in the shelter ? \nOptions: a ) 75 , b ) 25 , c ) 30 , d ) 45 , e ) 60", "output": [ "a" ] }, { "id": "task1421-e100369d661e4df4ac86c31669b23247", "input": "Problem: an amount of money is to be distributed among faruk , vasim and ranjith in the ratio 3 : 5 : 11 . if vasims share is rs . 1500 , what is the difference between faruk ' s and ranjith ' s shares ? \nOptions: a ) s 1200 , b ) s 1500 , c ) s 1600 , d ) s 1900 , e ) s 2400", "output": [ "e" ] }, { "id": "task1421-dcaf83964a0f4e8b82e7f33d9625f9e1", "input": "Problem: in township k , 1 / 5 of the housing units are equiped with cable tv . if 1 / 10 of the housing units , including 1 / 4 of those that are equiped with cable tv , are equipped with videocassette recorders , what fraction of the housing units have neither cable tv nor videocassette recorders ? \nOptions: a ) 3 / 4 , b ) 11 / 15 , c ) 7 / 10 , d ) 1 / 6 , e ) 2 / 15", "output": [ "a" ] }, { "id": "task1421-3fd481de7bb04f5690d7f9f5b82a0a46", "input": "Problem: each factor of 230 is inscribed on its own plastic ball , and all of the balls are placed in a jar . if a ball is randomly selected from the jar , what is the probability that the ball is inscribed with a multiple of 42 ? \nOptions: a ) 1 / 16 , b ) 5 / 42 , c ) 1 / 8 , d ) 3 / 16 , e ) 1 / 4", "output": [ "d" ] }, { "id": "task1421-1e1a7ec8fa4d43f18f4d291f659c61df", "input": "Problem: in a sports club with 30 members , 17 play badminton and 19 play tennis and 3 do not play either . how many members play both badminton and tennis ? \nOptions: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11", "output": [ "c" ] }, { "id": "task1421-4e7e2938f29f49a0ae3e7cb4935db4bf", "input": "Problem: two alloys a and b are composed of two basic elements . the ratios of the compositions of the two basic elements in the two alloys are 5 : 3 and 2 : 1 , respectively . a new alloy x is formed by mixing the two alloys a and b in the ratio 4 : 3 . what is the ratio of the composition of the two basic elements in alloy x ? \nOptions: a ) 1 : 1 , b ) 2 : 3 , c ) 5 : 2 , d ) 4 : 3 , e ) 9 : 5", "output": [ "e" ] }, { "id": "task1421-585b4279801c40c1aa2da9ae1c9a86e8", "input": "Problem: a jar contains a mixture of two liquids acid ( nitric acid ) and base ( ammonium chloride ) in the ratio 4 : 1 . when 10 litres of the mixture is taken out and 10 litres of liquid base is poured into the jar , the ratio becomes 2 : 3 . how many litres of liquid acid was contained in the jar ? \nOptions: a ) 14 lts , b ) 18 lts , c ) 20 lts , d ) 16 lts , e ) 26 lts", "output": [ "d" ] }, { "id": "task1421-de59fdcf5bab4e32a51d99d9f05102ec", "input": "Problem: the probability of two events a and b are 0.25 and 0.40 respectively . the probability that both a and b occur is 0.15 . the probability that neither a nor b occur is _________ \nOptions: a ) 0.45 , b ) 0.4 , c ) 0.5 , d ) 0.05 , e ) 0.6", "output": [ "c" ] }, { "id": "task1421-c5e59a2ee2db44699d399723b2bdd02a", "input": "Problem: the ratio between speed of the two trains is 7 : 8 . if the 2 nd train runs 400 km in 4 hrs , what is the speed of the 1 st train ? \nOptions: a ) 87.9 , b ) 87.5 , c ) 87.7 , d ) 87.6 , e ) 43.3", "output": [ "b" ] }, { "id": "task1421-b1c7b6cfebdd4d6fbad0689425ef7109", "input": "Problem: if the ratio of apples to bananas is 3 to 2 and the ratio of bananas to cucumbers is 1 to 3 , what is the ratio of apples to cucumbers ? \nOptions: a ) 2 : 3 , b ) 1 : 2 , c ) 3 : 5 , d ) 2 : 5 , e ) 5 : 6", "output": [ "b" ] }, { "id": "task1421-841776189c0b4eb7b5c13c728bf64f0a", "input": "Problem: if shares of two persons in profits are rs . 1600 and rs . 1200 then ratio of their capitals is \nOptions: a ) 3 : 4 , b ) 2 : 3 , c ) 4 : 3 , d ) 1 : 3 , e ) 1 : 2", "output": [ "c" ] }, { "id": "task1421-5e10efdeef6740bface63dbe02a059fd", "input": "Problem: the l . c . m . of two numbers is 36 . the numbers are in the ratio 2 : 3 . then sum of the number is : \nOptions: a ) 28 , b ) 30 , c ) 40 , d ) 53 , e ) 54", "output": [ "b" ] }, { "id": "task1421-7ce185e2a2e348f9b22da7eaf9efd2a2", "input": "Problem: find the number of different prime factors of 25650 \nOptions: a ) 4 , b ) 2 , c ) 3 , d ) 5 , e ) 6", "output": [ "a" ] }, { "id": "task1421-4ea059397d28428b83d6a59260b87024", "input": "Problem: in a group of 100 people , 60 like volleyball , 50 like hockey . how many like both volleyball and hockey ? \nOptions: a ) 20 , b ) 15 , c ) 10 , d ) 5 , e ) 25", "output": [ "c" ] }, { "id": "task1421-9eea58781a6c4aef886a562da32c64c8", "input": "Problem: each factor of 210 is inscribed on its own plastic ball , and all of the balls are placed in a jar . if a ball is randomly selected from the jar , what is the probability that the ball is inscribed with a multiple of 40 ? \nOptions: a ) 1 / 16 , b ) 5 / 42 , c ) 1 / 8 , d ) 3 / 16 , e ) 1 / 4", "output": [ "a" ] }, { "id": "task1421-f3696de59fc64651bfc4458895222e95", "input": "Problem: income and expenditure of a person are in the ratio 9 : 8 . if the income of the person is rs . 36000 , then find his savings ? \nOptions: a ) 2000 , b ) 3000 , c ) 4000 , d ) 5000 , e ) 6000", "output": [ "c" ] }, { "id": "task1421-a5ef44068db548d5ab6db440abc9cef3", "input": "Problem: if a student loses 5 kilograms , he will weigh twice as much as his sister . together they now weigh 116 kilograms . what is the student ' s present weight in kilograms ? \nOptions: a ) 76 , b ) 77 , c ) 78 , d ) 79 , e ) 80", "output": [ "d" ] }, { "id": "task1421-cc57548e5d834d8ca90cba8ea53daa6d", "input": "Problem: if 27.5 % of the 880 students at a certain college are enrolled in biology classes , how many students at the college are not enrolled in a biology class ? \nOptions: a ) 638 , b ) 330 , c ) 550 , d ) 430 , e ) 880", "output": [ "a" ] }, { "id": "task1421-95c4ba313f1b4cc09a9b8739b4fc7ba0", "input": "Problem: rajat , vikas and abhishek are submitting questions in the ratio 7 : 3 : 2 . if total number of questions submitted by them is 24 . find the number of questions submitted by vikas . \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "d" ] }, { "id": "task1421-4341995e56064a45af2d7cc09c6e889c", "input": "Problem: pencils , pens and exercise books in a shop are in the ratio of 14 : 4 : 3 . if there are 140 pencils , the number of exercise books in the shop is : \nOptions: a ) 30 , b ) 27 , c ) 35 , d ) 33 , e ) 37", "output": [ "a" ] }, { "id": "task1421-026b796532564997bfe10959aa5e3fd5", "input": "Problem: what is the square root of 83,521 ? \nOptions: a ) 476 , b ) 489 , c ) 289 , d ) 511 , e ) 311", "output": [ "c" ] }, { "id": "task1421-37631d5818c2416a85bc664c7ffe84d9", "input": "Problem: the ratio of boarders to day students at a school was originally 5 to 12 . however , after a number of new boarders join the initial 330 boarders , the ratio changed to 1 to 2 . if no boarders became day students and vice versa , and no students left the school , how many new boarders joined the school ? \nOptions: a ) 48 , b ) 66 , c ) 72 , d ) 80 , e ) 84", "output": [ "b" ] }, { "id": "task1421-ba7e788a8c974bcb8885a836a692133b", "input": "Problem: a jar contains a mixture of ab in the ratio 4 : 1 . when 30 l of mixture is replaced with liquid b , ratio becomes 2 : 3 . how many liters of liquid a was present in mixture initially . \nOptions: a ) 12 , b ) 48 , c ) 16 , d ) 20 , e ) 25", "output": [ "b" ] }, { "id": "task1421-7e9a1ea9a357421f8a97c36bb371e99d", "input": "Problem: a certain fraction has the same ratio to 1 / 36 , as 4 / 7 does to 5 / 9 . what is this certain fraction ? \nOptions: a ) 1 / 35 , b ) 1 / 42 , c ) 1 / 49 , d ) 1 / 56 , e ) 1 / 63", "output": [ "a" ] }, { "id": "task1421-8f2314c65d854a47878f3bbd9dce3a54", "input": "Problem: in what ratio should a variety of rice costing rs . 4.5 per kg be mixed with another variety of rice costing rs . 8.75 per kg to obtain a mixture costing rs . 7.50 per kg ? \nOptions: a ) 5 / 6 , b ) 5 / 9 , c ) 5 / 1 , d ) 5 / 3 , e ) 5 / 12", "output": [ "e" ] }, { "id": "task1421-7895d273b07c47e6aeb6fc81b311be16", "input": "Problem: the h . c . f of two numbers is 23 and the other two factors of their l . c . m are 15 and 16 . the larger of the two numbers is : \nOptions: a ) 338 , b ) 278 , c ) 322 , d ) 368 , e ) 121", "output": [ "d" ] }, { "id": "task1421-c858091b66f545c283f786b0c6465636", "input": "Problem: a certain manufacturer of cake , muffin , and bread mixes has 100 buyers , of whom 50 purchases cake mix , 40 purchase muffin mix , and 16 purchase both cake mix and muffin mix . if a buyer is to be selected at random from the 100 buyers , what is the probability that the buyer selected will be one who purchases neither cake mix nor muffin mix ? \nOptions: a ) 1 / 10 , b ) 13 / 50 , c ) 1 / 2 , d ) 7 / 10 , e ) 9 / 10", "output": [ "b" ] }, { "id": "task1421-bb17b1d911c4472a931e7e7650ea13bb", "input": "Problem: the ratio between the sale price and the cost price of an article is 4 : 3 . what is the ratio between the profit and the cost price of that article ? \nOptions: a ) 2 : 9 , b ) 2 : 5 , c ) 3 : 6 , d ) 2 : 0 , e ) 1 : 3", "output": [ "e" ] }, { "id": "task1421-165e02f7f8054ae4bb36b65e8b77fd98", "input": "Problem: an amount of money is to be distributed among faruk , vasim and ranjith in the ratio 3 : 5 : 7 . if vasims share is rs . 1500 , what is the difference between faruk ' s and ranjith ' s shares ? \nOptions: a ) rs 1200 , b ) rs 1500 , c ) rs 1600 , d ) rs 1900 , e ) rs 1700", "output": [ "a" ] }, { "id": "task1421-b639165ddd5b4a70b51dad6df495bfe5", "input": "Problem: there are 437 doctors and nurses in a hospital . if the ratio of the doctors to the nurses is 8 : 11 , then how many nurses are there in the hospital ? \nOptions: a ) 152 , b ) 253 , c ) 57 , d ) 171 , e ) 181", "output": [ "b" ] }, { "id": "task1421-278519025c114c26bbc04158ce406922", "input": "Problem: the ratio between the sale price and the cost price of an article is 9 : 5 . what is the ratio between the profit and the cost price of that article ? \nOptions: a ) 23 , b ) 1 : 2 , c ) 4 : 5 , d ) 3 : 5 , e ) 25", "output": [ "c" ] }, { "id": "task1421-44e4465b81244639a20cb635623f1f7c", "input": "Problem: at the faculty of aerospace engineering , 312 students study random - processing methods , 232 students study scramjet rocket engines and 112 students study them both . if every student in the faculty has to study one of the two subjects , how many students are there in the faculty of aerospace engineering ? \nOptions: a ) 424 . , b ) 428 . , c ) 430 . , d ) 432 . , e ) 436", "output": [ "d" ] }, { "id": "task1421-1a3f50afcc8748f6ad460e8e042e305d", "input": "Problem: a certain university will select 1 of 5 candidates eligible to fill a position in the mathematics department and 4 of 7 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ? \nOptions: a ) 42 , b ) 70 , c ) 175 , d ) 165 , e ) 315", "output": [ "c" ] }, { "id": "task1421-d569f5b9e3b647ba800404607d11296b", "input": "Problem: a man invests some money partly in 4 % stock at 48 and partly in 10 % stock at 110 . to obtain equal dividends from both , he must invest the money in the ratio : \nOptions: a ) 3 : 4 , b ) 3 : 5 , c ) 4 : 5 , d ) 6 : 5 , e ) none", "output": [ "d" ] }, { "id": "task1421-9c9a86a540d14a58beb3c89471edc1e3", "input": "Problem: find the ratio in which rice at rs . 7.10 a kg be mixed with rice at rs . 5.70 a kg to produce a mixture worth rs . 6.30 a kg ? \nOptions: a ) 1 : 3 , b ) 2 : 3 , c ) 3 : 4 , d ) 4 : 5 , e ) none of these", "output": [ "c" ] }, { "id": "task1421-d09f6785a59f4eba9cc45670fee9c5e1", "input": "Problem: each of the dogs in a certain kennel is a single color . each of the dogs in the kennel either has long fur or does not . of the 45 dogs in the kennel , 36 have long fur , 27 are brown , and 8 are neither long - furred nor brown . how many long - furred dogs are brown ? \nOptions: a ) 26 , b ) 19 , c ) 11 , d ) 8 , e ) 6", "output": [ "a" ] }, { "id": "task1421-4b7d017214814a26b0bb3001365f228d", "input": "Problem: a certain hobby shop sold model cars for $ 5.00 each and model trains for $ 8.00 each . if a customer purchased both cars and trains from the store for a total of $ 31.00 , what total number of cars and trains did the customer purchase ? \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "c" ] }, { "id": "task1421-a1832be1f11840029ae9298bb1bb8970", "input": "Problem: in a sports club with 40 members , 20 play badminton and 18 play tennis and 5 do not play either . how many members play both badminton and tennis ? \nOptions: a ) 3 , b ) 5 , c ) 6 , d ) 7 , e ) 3", "output": [ "e" ] }, { "id": "task1421-e3c58e7391d447eeb1acf732f5d62ed2", "input": "Problem: m is 30 % of q . q is 20 % of p . n is 50 % of p . find m : n ratio \nOptions: a ) 1 : 25 , b ) 2 : 25 , c ) 3 : 25 , d ) 4 : 25 , e ) 5 : 25", "output": [ "c" ] }, { "id": "task1421-0e95a9ac62ef4af38ed024e0d626c363", "input": "Problem: divide $ 450 among a , b in the ratio 1 : 4 . how many $ that a get ? \nOptions: a ) $ 90 , b ) $ 500 , c ) $ 150 , d ) $ 250 , e ) $ 600", "output": [ "a" ] }, { "id": "task1421-0414835b48dc4a2e92cc2f0de453f3b5", "input": "Problem: ratio between rahul and deepak is 4 : 3 , after 6 years rahul age will be 26 years . what is deepak present age ? \nOptions: a ) 22 , b ) 15 , c ) 77 , d ) 266 , e ) 182", "output": [ "b" ] }, { "id": "task1421-dcae6d850de14075bd3133187765f179", "input": "Problem: the number of stamps that kaye and alberto had were in the ration of 5 : 3 respectively . after kaye gave alberto 12 of her stamps , the ration of the number of kaye had to the number of alberto had was 8 : 6 . as a result of the gift , kaye had how many more stamps than alberto ? \nOptions: a ) 20 , b ) 30 , c ) 40 , d ) 32 , e ) 90", "output": [ "d" ] }, { "id": "task1421-cb220473720e4f29ac30efac7cef4fcb", "input": "Problem: in a school the ratio of boys and girls are in the ration 5 : 6 . 25 % of boys will get scholar ship and 20 % of girls will get scholar ship what % of students wont get scholarship ? \nOptions: a ) 60 % , b ) 78 % , c ) 88 % , d ) 98 % , e ) 99 %", "output": [ "b" ] }, { "id": "task1421-6c19e5048a314cec825d063b8d0869e5", "input": "Problem: of the people who responded to a market survey , 200 preferred brand x and the rest preferred brand y . if the respondents indicated a preference for brand x over brand y by ratio of 4 to 1 , how many people responded to the survey ? \nOptions: a ) 80 , b ) 160 , c ) 250 , d ) 350 , e ) 480", "output": [ "c" ] }, { "id": "task1421-d7b927ec610e47579b27da222227d126", "input": "Problem: the dimensions of a field are 20 m by 5 m . a pit 10 m long , 4 m wide and 3 m deep is dug in one corner of the field and the earth removed has been evenly spread over the remaining area of the field . what will be the rise in the height of field as a result of this operation ? \nOptions: a ) 1 m , b ) 5 m , c ) 4 m , d ) 2 m , e ) 3 m", "output": [ "d" ] }, { "id": "task1421-0d3991d134234d278794bc1143aedc3c", "input": "Problem: the ratio of the number of red cars in a certain parking lot to the number of black cars is 3 to 8 . if there are 90 black cars in the lot , how many red cars are there in the lot ? \nOptions: a ) 11 , b ) 33 , c ) 24 , d ) 27 , e ) 32", "output": [ "b" ] }, { "id": "task1421-362ed4f4b70c463ca391563add9eb480", "input": "Problem: the ratio between the sale price and the cost price of an article is 12 : 7 . what is the ratio between the profit and the cost price of that article ? \nOptions: a ) 2 : 9 , b ) 2 : 5 , c ) 3 : 6 , d ) 5 : 7 , e ) 2 : 1", "output": [ "d" ] }, { "id": "task1421-e132ead0202b43508cc864ddf0ce334d", "input": "Problem: income and expenditure of a person are in the ratio 10 : 4 . if the income of the person is rs . 19000 , then find his savings ? \nOptions: a ) 79754 , b ) 87689 , c ) 59875 , d ) 11400 , e ) 87648", "output": [ "d" ] }, { "id": "task1421-57b1a33abe7a4f73a9e4ee4faaa93534", "input": "Problem: a can contains a mixture of liquids a and b is the ratio 7 : 5 . when 9 litres of mixture are drawn off and the can is filled with b , the ratio of a and b becomes 7 : 9 . how many liter t of liquid a was contained by the can initially ? \nOptions: a ) 10 , b ) 20 , c ) 21 , d ) 25 , e ) 27", "output": [ "c" ] }, { "id": "task1421-532301b36e81467295e96bfa44441a96", "input": "Problem: a factory produces 1 defective bulb out of 10 bulbs a yr . if it produces 870 bulbs a yr , how many defective bulbs are produced ? \nOptions: a ) 84 , b ) 85 , c ) 86 , d ) 87 , e ) 88", "output": [ "d" ] }, { "id": "task1421-e6a07634f3dd4d9587ec9abd6c480183", "input": "Problem: there are 720 students in a school . the ratio of boys and girls in this school is 3 : 5 . find the total of girls & boys are there in this school ? \nOptions: a ) 320 , b ) 345 , c ) 450 , d ) 380 , e ) 400", "output": [ "c" ] }, { "id": "task1421-583dbd38e9094203965f711322ebd0c6", "input": "Problem: in the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30 . in the sport formulation , the ratio of flavoring to corn syrup is three times as great as in the standard formulation , and the ratio of flavoring to water is half that of the standard formulation . if a large bottle of the sport formulation contains 4 ounces of corn syrup , how many ounces of water does it contain ? \nOptions: a ) 45 , b ) 50 , c ) 55 , d ) 60 , e ) 63", "output": [ "d" ] }, { "id": "task1421-0e8e62cf900149ba80c641e16521b632", "input": "Problem: two numbers are in ratio 4 : 5 and their lcm is 180 . the smaller number is \nOptions: a ) 9 , b ) 15 , c ) 36 , d ) 45 , e ) none", "output": [ "c" ] }, { "id": "task1421-91d57589147d4465af4376608198c15f", "input": "Problem: what is the ratio whose term differ by 40 and the measure of which is 2 / 7 ? \nOptions: a ) 32 : 23 , b ) 16 : 56 , c ) 71 : 85 , d ) 32 : 39 , e ) 41 : 52", "output": [ "b" ] }, { "id": "task1421-0ab5646dc2554a948b0406414d4f1841", "input": "Problem: in a group of 6 boys and 4 girls are to be selected . in how many different ways can they be selected such that at least one boy should be there ? \nOptions: a ) 209 , b ) 200 , c ) 210 , d ) 225 , e ) 221", "output": [ "a" ] }, { "id": "task1421-b2a96e600d254aa19532fb58ae2b329b", "input": "Problem: the hcf of two numbers is 23 and the other two factors of their lcm are 13 and 14 . what is the largest number ? \nOptions: a ) 280 , b ) 284 , c ) 292 , d ) 320 , e ) 322", "output": [ "e" ] }, { "id": "task1421-4160340b467f4342af229639f5064a20", "input": "Problem: in a ratio which is equal to 2 : 4 , if the antecedent is 50 , then the consequent is ? \nOptions: a ) 72 , b ) 85 , c ) 100 , d ) 51 , e ) 80", "output": [ "c" ] }, { "id": "task1421-1cd57fcfe79848778e9d1e45eb27c694", "input": "Problem: what is the square root of 16 , divided by 2 ? \nOptions: a ) 9 , b ) 2 , c ) 122 , d ) 6 , e ) 1", "output": [ "b" ] }, { "id": "task1421-2aaaf6e805824bc5832c426d1bf8ea75", "input": "Problem: assisants are needed to prepare for preparation . each helper can make either 2 large cakes or 35 small cakes / hour . the kitchen is available for 3 hours and 20 large cakes and 700 small cakes are needed . how many helpers are required ? \nOptions: a ) 9 , b ) 10 , c ) 13 , d ) 16 , e ) 18", "output": [ "b" ] }, { "id": "task1421-556bad390a8140d68256d985162c5538", "input": "Problem: right now , the ratio between the ages of sandy and molly is 4 : 3 . after 6 years , sandy ’ s age will be 66 years . what is molly ' s age right now ? \nOptions: a ) 15 years , b ) 35 years , c ) 25 years , d ) 45 years , e ) 55 years", "output": [ "d" ] }, { "id": "task1421-8e629aef11b043d2b09d8a6952f7afa8", "input": "Problem: in a group of 100 cars , 37 cars do not have air conditioning . if at least 51 cars have racing stripes , what is the greatest number of cars that could have air conditioning but not racing stripes ? \nOptions: a ) 45 , b ) 47 , c ) 48 , d ) 49 , e ) 53", "output": [ "d" ] }, { "id": "task1421-d54a17b2d69e431183832c01175c6f6c", "input": "Problem: a dog breeder currently has 9 breeding dogs . 6 of the dogs have exactly 1 littermate , and 3 of the dogs have exactly 2 littermates . if 2 dogs are selected at random , what is the probability q that both selected dogs are not littermates ? \nOptions: a ) 1 / 6 , b ) 2 / 9 , c ) 5 / 6 , d ) 7 / 9 , e ) 8 / 9", "output": [ "c" ] }, { "id": "task1421-d655ec6c6b5d4045884ea355192d3734", "input": "Problem: if two dice are thrown together , the probability of getting a square number on both the dice is \nOptions: a ) 5 / 12 , b ) 1 / 3 , c ) 1 / 4 , d ) 1 / 12 , e ) 2 / 3", "output": [ "d" ] }, { "id": "task1421-d656281975354010ac023b9de320d475", "input": "Problem: the price ratio of oranges to lemons is 2 : 3 . the price ratio of grapefruits to lemons is 3 : 5 . what is the ratio , by price , of grapefruit to oranges ? \nOptions: a ) 18 : 20 , b ) 10 : 9 , c ) 2 : 5 , d ) 5 : 2 , e ) 3 : 2", "output": [ "a" ] }, { "id": "task1421-3262ff02f66c4699b8a7f0716ab2d7d7", "input": "Problem: the ratio of flour to water to sugar in a recipe is 11 : 8 : 1 . the ratio in a new recipe calls for a doubling of the ratio of flour to water from the original recipe and a halving of the ratio of flour to sugar . if the new recipe calls for 4 cups of water , how much sugar is required ? \nOptions: a ) 5 , b ) 4 , c ) 3 , d ) 2 , e ) 1", "output": [ "d" ] }, { "id": "task1421-f9d24d0d1d2c49369788712aefbd3abf", "input": "Problem: the triplicate ratio of 1 : 3 is ? \nOptions: a ) 1 : 27 , b ) 1 : 8 , c ) 1 : 3 , d ) 1 : 1 , e ) 1 : 2", "output": [ "a" ] }, { "id": "task1421-ab26079a53d4468e8e930075baab39d4", "input": "Problem: if $ 935 are divided between worker a and worker b in the ratio 5 : 12 , what is the share that worker b will get ? \nOptions: a ) 62.15 % , b ) 64.26 % , c ) 66.37 % , d ) 68.48 % , e ) 70.59 %", "output": [ "e" ] }, { "id": "task1421-eca94548eecc453081bc89a2d145ddec", "input": "Problem: mrs . evans gave a test to her freshmen economics class , which has 29 students enrolled and 19 of them answered question 1 correctly . if 24 answered question 2 correctly and 5 did not take the test then how many answered both questions correctly ? \nOptions: a ) 3 , b ) 9 , c ) 11 , d ) 17 , e ) 19", "output": [ "e" ] }, { "id": "task1421-8a6823bf8d4649ffac7b2b374a591a7d", "input": "Problem: a king has 1000 bottles of wine , a queen wants to kill the king and sends a servant to poison the wine . fortunately the king ' s guard ' s catch d servant after he has only poisoned one bottle and the guard do n ' t know which bottle is poisoned . furthermore it takes one month to have an effect , and there is an anniversary party coming up in 5 weeks time ! the king decides he will get some of the prisoners in his vast dungeons to drink the wine . how many minimum prisoners does it required to sample the wine to find out the poisoned bottle so that the guests will still be able to drink the rest of the wine at his anniversary party in 5 weeks time ? \nOptions: a ) 1 , b ) 499 , c ) 500 , d ) 999 , e ) 10", "output": [ "e" ] }, { "id": "task1421-d64216f798b047698fe8ce4ab9277461", "input": "Problem: if 60 % of a number is equal to one half of another number , what is the ratio of first number to the second number ? \nOptions: a ) 4 : 5 , b ) 5 : 6 , c ) 6 : 5 , d ) 5 : 4 , e ) 2 : 5", "output": [ "b" ] }, { "id": "task1421-9018cb3b97b147da85d47614b8d9f71c", "input": "Problem: if ( log 5 5 ) ( log 4 9 ) ( log 3 2 ) is equal to \nOptions: a ) 1 , b ) 3 / 2 , c ) 2 , d ) 5 , e ) 7", "output": [ "a" ] }, { "id": "task1421-f659027442b9486689f1fd19c15e7925", "input": "Problem: how many terminating zeroes does 200 ! have ? \nOptions: a ) 40 , b ) 48 , c ) 49 , d ) 55 , e ) 64", "output": [ "c" ] }, { "id": "task1421-0773005e0edd4e5da9cb6c2b7fe61046", "input": "Problem: how many of the positive factors of 33 are not factors of 45 ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4", "output": [ "c" ] }, { "id": "task1421-124ac9a406604abf8d57ab2c0e4c6374", "input": "Problem: what is the greatest positive integer n such that 3 ^ n is a factor of 36 ^ 450 ? \nOptions: a ) 100 , b ) 200 , c ) 300 , d ) 600 , e ) 900", "output": [ "e" ] }, { "id": "task1421-6d58e31405764402b0efd8b6f4230400", "input": "Problem: in a school 10 % of the boys are same in number as 1 / 2 th of the girls . what is the ratio of boys to the girls in the school ? \nOptions: a ) 5 : 1 , b ) 2 : 3 , c ) 1 : 4 , d ) 3 : 7 , e ) 2 : 5", "output": [ "a" ] }, { "id": "task1421-dde8bb4013e94c3c918742254d6c7625", "input": "Problem: a girl scout was selling boxes of cookies . in a month , she sold both boxes of chocolate chip cookies ( $ 1.25 each ) and boxes of plain cookies ( $ 0.75 each ) . altogether , she sold 1,585 boxes for a combined value of $ 1 , 587.75 . how many boxes of plain cookies did she sell ? \nOptions: a ) 0 , b ) 233 , c ) 500 , d ) 695 , e ) 787", "output": [ "e" ] }, { "id": "task1421-cdbd2de0ba104713aea8d718a14f9e27", "input": "Problem: a certain university will select 1 of 8 candidates eligible to fill a position in the mathematics department and 2 of 12 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ? \nOptions: a ) 340 , b ) 380 , c ) 472 , d ) 528 , e ) 630", "output": [ "d" ] }, { "id": "task1421-9e2e5d0701f24d6e8e0104c18d185fb1", "input": "Problem: the l . c . m . of 2 numbers is 54 . the numbers are in the ratio 2 : 3 . find their sum ? \nOptions: a ) 36 , b ) 40 , c ) 45 , d ) 32 , e ) 56", "output": [ "c" ] }, { "id": "task1421-0e8e7ac9d24c4bc28e422d2265726175", "input": "Problem: ketchup , mustard and mayo bottles at a hot dog stand are in the ratio of 3 : 3 : 2 . if there are 6 ketchup bottles , the number of mayo bottles at the hot dog stand is : \nOptions: a ) 12 , b ) 6 , c ) 3 , d ) 1 , e ) 4", "output": [ "e" ] }, { "id": "task1421-da537bd3df69452e8ca871e57f743521", "input": "Problem: a precious stone weighing 35 grams worth rs . 12,250 is accidentally dropped and gets broken into two pieces having weights in the ratio of 2 : 5 . if the price varies as the square of the weight then find the loss incurred . \nOptions: a ) rs . 5750 , b ) rs . 6000 , c ) rs . 5500 , d ) rs . 5000 , e ) rs . 7000", "output": [ "d" ] }, { "id": "task1421-a1a897ddde8d419e80c7cb073af14ea1", "input": "Problem: a baseball team played 10 games and won 5 . what is the ratio of the number of games played to the number of losses ? \nOptions: a ) 5 : 1 , b ) 1 : 1 , c ) 20 : 4 , d ) 10 : 3 , e ) 2 : 1", "output": [ "e" ] }, { "id": "task1421-ef5da87851524a73a4b30b3c286b5a81", "input": "Problem: a certain company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales were up 7 percent from 1996 . if total revenues from car sales and truck sales in 1997 were up 1 percent from 1996 , what is the ratio q of revenue from car sales in 1996 to revenue from truck sales in 1996 ? \nOptions: a ) 1 : 2 , b ) 4 : 5 , c ) 1 : 1 , d ) 3 : 2 , e ) 5 : 3", "output": [ "a" ] }, { "id": "task1421-6fba1e907f8949a094c8c9053c1bd57c", "input": "Problem: kelly and chris are moving into a new city . both of them love books and thus packed several boxes with books . if chris packed 60 % of the total number of boxes , what was the ratio of the number of boxes kelly packed to the number of boxes chris packed ? \nOptions: a ) 4 / 3 , b ) 2 / 3 , c ) 1 / 3 , d ) 3 / 4 , e ) 1 / 4", "output": [ "b" ] }, { "id": "task1421-af58406143f6427495eff716c728983f", "input": "Problem: if both 5 ^ 2 and 3 ^ 3 are factors of the number a * 4 ^ 3 * 6 ^ 2 * 13 ^ 11 , then what is the smallest possible value of a ? \nOptions: a ) 49 , b ) 75 , c ) 150 , d ) 225 , e ) 343", "output": [ "b" ] }, { "id": "task1421-a996f78e80644deb846393835b7ecb3f", "input": "Problem: the triplicate ratio of 1 : 6 is ? \nOptions: a ) 1 : 7 , b ) 1 : 8 , c ) 1 : 3 , d ) 1 : 1 , e ) 1 : 216", "output": [ "e" ] }, { "id": "task1421-261b3d7b69ef4315b71889f26e52dd44", "input": "Problem: what is the units digit of 32 ! + 50 ! + 2 ! + 4 ! ? \nOptions: a ) 0 , b ) 2 , c ) 4 , d ) 6 , e ) 8", "output": [ "d" ] }, { "id": "task1421-b0f4142bdb244c48b81b17b3f4e70220", "input": "Problem: in a class , 30 % of the students speaks truth , 20 % speaks lie and 10 % speaks both . if a student is selected at random , what is the probability that he has speak truth or lie ? \nOptions: a ) 1 / 4 , b ) 2 / 3 , c ) 3 / 5 , d ) 2 / 5 , e ) 2 / 7", "output": [ "d" ] }, { "id": "task1421-80e33fe5802a44719fce759cf48d38a4", "input": "Problem: there are 202 lights which are functional and each is controlled by a separate on / off switch . two children a and b start playing with the switches . a starts by pressing every third switch till he reaches the end . b , 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 ) 93 , b ) 94 , c ) 92 , d ) 96 , e ) 95", "output": [ "e" ] }, { "id": "task1421-7643dbadd41245dc82f94d3d6e3418b5", "input": "Problem: in a certain corporation , there are 300 male employees and 150 female employees . it is known that 20 % of the male employees have advanced degrees and 40 % of the females have advanced degrees . if one of the 450 employees is chosen at random , what is the probability this employee has an advanced degree or is female ? \nOptions: a ) 7 / 15 , b ) 3 / 10 , c ) 3 / 5 , d ) 2 / 5 , e ) 3 / 4", "output": [ "a" ] }, { "id": "task1421-0b82eef4e360450592d348200e224a19", "input": "Problem: 3 containers a , b and c are having mixtures of milk and water in the ratio of 1 : 5 and 3 : 5 and 5 : 7 respectively . if the capacities of the containers are in the ratio of all the 3 containers are in the ratio 5 : 4 : 5 , find the ratio of milk to water , if the mixtures of all the 3 containers are mixed together . \nOptions: a ) 53 : 115 , b ) 55 : 115 , c ) 115 : 55 , d ) 5 : 115 , e ) 115 : 53", "output": [ "a" ] }, { "id": "task1421-c9c90c41c9494341a0b95a0e1934c1bd", "input": "Problem: in a certain large company , the ratio of college graduates with a graduate degree to non - college graduates is 1 : 8 , and ratio of college graduates without a graduate degree to non - college graduates is 2 : 3 . if one picks a random college graduate at this large company , what is the probability t this college graduate has a graduate degree ? \nOptions: a ) 1 / 11 , b ) 1 / 12 , c ) 1 / 13 , d ) 3 / 19 , e ) 3 / 43", "output": [ "d" ] }, { "id": "task1421-e05350035ce14ef9b811301d56429eee", "input": "Problem: if 0.75 of a number is equal to 0.025 of another number , the ratio of the numbers is : \nOptions: a ) 2 : 3 , b ) 3 : 4 , c ) 1 : 30 , d ) 20 : 3 , e ) 30 : 7", "output": [ "c" ] }, { "id": "task1421-8cb2551468a345748478de3dd05b1bf8", "input": "Problem: the number of stamps that p and q had were in the ratio of 9 : 2 respectively . after p gave q 33 stamps , the ratio of the number of p ' s stamps to the number of q ' s stamps was 6 : 5 . as a result of the gift , p had how many more stamps than q ? \nOptions: a ) 11 , b ) 33 , c ) 45 , d ) 67 , e ) 80", "output": [ "a" ] }, { "id": "task1421-f5412023edb744549ae798e93550d8db", "input": "Problem: there are 4 red books and 4 blue books on a shelf . if 2 books are selected at random from the shelf , what is the probability that both books selected are red books ? \nOptions: a ) 2 / 7 , b ) 3 / 7 , c ) 3 / 14 , d ) 5 / 28 , e ) 9 / 28", "output": [ "c" ] }, { "id": "task1421-d9338689deaf4bd6b6d718d931762385", "input": "Problem: solution a is 20 % salt and solution b is 60 % salt . if you have 30 ounces of solution a and 60 ounces of solution b , in what ratio could you mix solution a with solution b to produce 50 ounces of a 50 % salt solution ? \nOptions: a ) 6 : 4 , b ) 6 : 14 , c ) 4 : 4 , d ) 4 : 6 , e ) 1 : 3", "output": [ "e" ] }, { "id": "task1421-4c07ba4f9e1a419fbd13d85d5df3b566", "input": "Problem: two integers are in the ratio of 1 to 3 . if 10 is added to the smaller number , the ratio becomes 2 to 1 . find the larger integer . \nOptions: a ) 6 , b ) 9 , c ) 10 , d ) 12 , e ) 15", "output": [ "a" ] }, { "id": "task1421-5fcdf8be3c2b40dabdfe68d8b1cd85a8", "input": "Problem: the l . c . m . of two numbers is 60 . the numbers are in the ratio 2 : 3 . then sum of the number is : \nOptions: a ) 28 , b ) 32 , c ) 40 , d ) 53 , e ) 50", "output": [ "e" ] }, { "id": "task1421-0000d921a1e34dd981eb3681916f8e9c", "input": "Problem: 210 students were asked in a survey if they preferred windows or mac brand computers . 60 students claimed that they preferred mac to windows brand computers . one third as many of the students who preferred mac to windows , equally preferred both brands . 90 of the students had no preference . how many of the students in the survey preferred windows to mac brand computers ? \nOptions: a ) 25 , b ) 40 , c ) 50 , d ) 60 , e ) 75", "output": [ "b" ] }, { "id": "task1421-63cc20edc3d9490aa948e7a10b10999b", "input": "Problem: the simple form of the ratio 2 / 3 : 2 / 5 is \nOptions: a ) 5 : 7 , b ) 5 : 2 , c ) 5 : 9 , d ) 5 : 3 , e ) 5 : 4", "output": [ "d" ] }, { "id": "task1421-8bef8b20adad4b93934c4c9de9abd846", "input": "Problem: if log 1087.5 = 6.9421 , then the number of digits in ( 875 ) 10 is ? \nOptions: a ) 30 , b ) 28 , c ) 80 , d ) 26 , e ) 25", "output": [ "c" ] }, { "id": "task1421-584ff1f4a5a74b928c002526473edf71", "input": "Problem: the ratio between the number of sheep and the number of horses at the stewar farm is 3 to 7 . if each of horse is fed 230 ounces of horse food per day and the farm needs a total 12880 ounces of horse food per day . what is number sheep in the form ? ? \nOptions: a ) 24 , b ) 28 , c ) 32 , d ) 56 , e ) 58", "output": [ "a" ] }, { "id": "task1421-84cdfc801b9045c7a4c5d7c2db69b07b", "input": "Problem: if the ratio of apples to bananas is 4 to 3 and the ratio of bananas to cucumbers is 1 to 5 , what is the ratio of apples to cucumbers ? \nOptions: a ) 4 : 15 , b ) 1 : 3 , c ) 2 : 5 , d ) 4 : 5 , e ) 7 : 6", "output": [ "a" ] }, { "id": "task1421-0b2b5f59d4124daa9ecd46f5a134718a", "input": "Problem: the ratio of number of boys and girls in a school is 2 : 5 . if there are 210 students in the school , find the number of girls in the school ? \nOptions: a ) 150 , b ) 250 , c ) 300 , d ) 370 , e ) 280", "output": [ "a" ] }, { "id": "task1421-8da1b8e96b074192aac9af16bdcdca5b", "input": "Problem: two numbers are in the ratio of 5 : 9 . if 25 be subtracted from each , they are in the ratio of 35 : 59 . find the numbers ? \nOptions: a ) 150,170 , b ) 150,270 , c ) 50,270 , d ) 180,270 , e ) 150,290", "output": [ "b" ] }, { "id": "task1421-53b37d5973d74382a97aaeab1d791194", "input": "Problem: 90 people are attending a newspaper conference . 45 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ? \nOptions: a ) 18 , b ) 16 , c ) 12 , d ) 10 , e ) 6", "output": [ "e" ] }, { "id": "task1421-122485b057fd4bcea795abe44870a7c1", "input": "Problem: what is the number of integers from 1 to 1100 ( inclusive ) that are divisible by neither 11 nor by 35 ? \nOptions: a ) 884 , b ) 890 , c ) 892 , d ) 910 , e ) 945", "output": [ "e" ] }, { "id": "task1421-a5bba1d3256a48f08327ccc23ce976e4", "input": "Problem: the probability that event b occurs is 0.6 , and the probability that events a and b both occur is 0.25 . if the probability that either event a or event b occurs is 0.4 , what is the probability that event a will occur ? \nOptions: a ) 0.05 , b ) 0.15 , c ) 0.45 , d ) 0.5 , e ) 0.55", "output": [ "a" ] }, { "id": "task1421-823f7fbd79c4496ab78680e727ca9da7", "input": "Problem: if x and y are both odd prime numbers and x < y , how many distinct positive r integer factors does 2 xy have ? \nOptions: a ) 3 , b ) 4 , c ) 6 , d ) 8 , e ) 12", "output": [ "d" ] }, { "id": "task1421-3cd45ac3c0a649cb9f9572363ea4ac15", "input": "Problem: local kennel has cats and dogs in the ratio of 2 : 3 . if there are 6 fewer cats than dogs , how many dogs are in the kennel ? \nOptions: a ) 24 , b ) 18 , c ) 30 , d ) 15 , e ) 12", "output": [ "b" ] }, { "id": "task1421-d8fc9426bc6e4a39908fdf744527838b", "input": "Problem: the ratio of the arithmetic mean of two numbers to one of the numbers is 5 : 7 . what is the ratio of the smaller number to the larger number ? \nOptions: a ) 2 : 3 , b ) 2 : 5 , c ) 3 : 7 , d ) 4 : 9 , e ) 5 : 6", "output": [ "c" ] }, { "id": "task1421-29d86f42dc1847728a3cbe3088798e4e", "input": "Problem: x starts a business with rs . 45000 . y joins in the business after 7 months with rs . 30000 . what will be the ratio in which they should share the profit at the end of the year ? \nOptions: a ) 1 : 2 , b ) 18 : 5 , c ) 1 : 5 , d ) 3 : 1 , e ) 1 : 1", "output": [ "b" ] }, { "id": "task1421-2ca99345918c46b5a1dc8d4ca0d1c118", "input": "Problem: sandy is younger than molly by 12 years . if the ratio of their ages is 7 : 9 , how old is sandy ? \nOptions: a ) 42 , b ) 49 , c ) 56 , d ) 63 , e ) 70", "output": [ "a" ] }, { "id": "task1421-ecaa396c4b2f49b596f0b5464ec43a69", "input": "Problem: what is the square root of 0.16 \nOptions: a ) 0.4 , b ) 0.04 , c ) 0.004 , d ) 4 , e ) 1", "output": [ "a" ] }, { "id": "task1421-a2b0b18dd69e4d0491caf36e2d0dbe55", "input": "Problem: a salesman sold twice as much pears in the afternoon than in the morning . if he sold $ 360 kilograms of pears that day , how many kilograms did he sell in the morning and how many in the afternoon ? \nOptions: a ) 120 , b ) 180 , c ) 240 , d ) 280 , e ) 320", "output": [ "c" ] }, { "id": "task1421-d2574933d29d422fae9866b80c0a1965", "input": "Problem: 99 ! how many zero ' s ? \nOptions: a ) 20 , b ) 21 , c ) 22 , d ) 23 , e ) 24", "output": [ "c" ] }, { "id": "task1421-c2893c26712f4b669ebc30fc266b725e", "input": "Problem: in a primary school , the ratio of the number of girls to boys is 5 : 8 . if there are 160 girls , the total number of students in the college is : \nOptions: a ) 100 , b ) 250 , c ) 260 , d ) 300 , e ) 350", "output": [ "d" ] }, { "id": "task1421-3f4670cd58804b259be59a6cd41cefdd", "input": "Problem: two numbers are in the ratio of 6 : 8 . if 10 is subtracted from each , the new numbers are in the ratio 16 : 32 . find the smaller number . \nOptions: a ) 22 , b ) 12 , c ) 38 , d ) 15 , e ) 17", "output": [ "d" ] }, { "id": "task1421-aa71265da4b04e55b712e67f713ecf7d", "input": "Problem: in a neighborhood having 90 households , 11 did not have either a car or a bike . if 18 households had a both a car and a bike and 44 had a car , how many had bike only ? \nOptions: a ) 30 , b ) 35 , c ) 20 , d ) 18 , e ) 10", "output": [ "b" ] }, { "id": "task1421-d7bda0d4118549348ba8e1ede672e2c6", "input": "Problem: the probability that a can solve the problem is 2 / 3 and b can solve it is 3 / 4 . if both of them attemp the problem , then what is the probability that the problem get solved ? \nOptions: a ) 9 / 12 , b ) 10 / 12 , c ) 11 / 12 , d ) 1 , e ) 2", "output": [ "c" ] }, { "id": "task1421-f6b5da43c7fc4cd1943391f726dbb6f4", "input": "Problem: in a group of 80 people , 45 have visited iceland and 33 have visited norway . if 41 people have visited both iceland and norway , how many people have visited neither country ? \nOptions: a ) 30 , b ) 31 , c ) 32 , d ) 33 , e ) 34", "output": [ "d" ] }, { "id": "task1421-c8bd10fc70e94d3f802332a3ee393ee1", "input": "Problem: the ratio , by volume , of bleach to detergent to water in a certain solution is 2 : 40 : 100 . the solution will be altered so that the ratio of bleach ( b ) to detergent is tripled while the ratio of detergent to water is halved . if the altered solution will contain 300 liters of water , how many liters of detergent will it contain ? \nOptions: a ) 40 , b ) 60 , c ) 50 , d ) 30 , e ) 70", "output": [ "b" ] }, { "id": "task1421-8e5c9d4f860140008f7b579cede103a8", "input": "Problem: mangoes , oranges and apples in a fruit shop are in the ratio of 10 : 2 : 3 . if there are 120 mangoes , the number of apples in the shop is : . \nOptions: a ) 36 , b ) 42 , c ) 72 , d ) 400 , e ) 56", "output": [ "a" ] }, { "id": "task1421-558a8d27517a408585107f46628de720", "input": "Problem: the marks obtained by polly and sandy are in the ratio 5 : 6 and those obtained by sandy and willy are in the ratio of 3 : 2 . the marks obtained by polly and willy are in the ratio of . . . ? \nOptions: a ) 3 : 2 , b ) 5 : 4 , c ) 7 : 6 , d ) 9 : 8 , e ) 11 : 10", "output": [ "b" ] }, { "id": "task1421-17561fdb8edd4e87979f07f42a35a09b", "input": "Problem: in a corporation , 50 percent of the male employees and 40 percent of the female employees are at least 35 years old . if 42 percent of all the employees are at least 35 years old , what fraction of the employees in the corporation are females ? \nOptions: a ) 3 / 5 , b ) 2 / 3 , c ) 3 / 4 , d ) 4 / 5 , e ) 5 / 6", "output": [ "d" ] }, { "id": "task1421-6f51ffde2bcf497eaaabf9e827c60b1c", "input": "Problem: janet invited her boy and girl friends to her party at the ratio of 3 : 7 . if 30 % of the boys and 70 % of the girls will be coming for the party from texas , how many janet invited friends will be coming from texas . \nOptions: a ) 62 % , b ) 52 % , c ) 57 % , d ) 56 % , e ) 58 %", "output": [ "e" ] }, { "id": "task1421-50ea62569ede43c4aa5d043f22c04886", "input": "Problem: if m = 3 ^ n , what is the greatest value of n for which m is a factor of 25 ! \nOptions: a ) 8 , b ) 10 , c ) 12 , d ) 14 , e ) 16", "output": [ "b" ] }, { "id": "task1421-6af172d83e594d0aafbe9a1f0817b982", "input": "Problem: two alloys a and b are composed of two basic elements . the ratios of the compositions of the two basic elements in the two alloys are 7 : 5 and 1 : 2 , respectively . a new alloy x is formed by mixing the two alloys a and b in the ratio 4 : 3 . what is the ratio of the composition of the two basic elements in alloy x ? \nOptions: a ) 1 : 1 , b ) 2 : 3 , c ) 5 : 2 , d ) 10 : 11 , e ) 7 : 9", "output": [ "d" ] }, { "id": "task1421-0b4fbbf14db2499eb516447de0dd6f7e", "input": "Problem: in a class of 150 students 55 speak english ; 85 speak telugu and 30 speak neither english nor telugu how many speak both english and telugu ? \nOptions: a ) 10 , b ) 20 , c ) 30 , d ) 40 , e ) 50", "output": [ "b" ] }, { "id": "task1421-96495a3760d34b82b6ec5b3121adefca", "input": "Problem: the compound ratio of 5 : 6 , 3 : 4 and 4 : 5 ? \nOptions: a ) 1 : 1 , b ) 1 : 87 , c ) 1 : 6 , d ) 1 : 9 , e ) 1 : 2", "output": [ "e" ] }, { "id": "task1421-d43800962c6c4590b2e03eca75ee615a", "input": "Problem: there are 97 lights which are functional and each is controlled by a separate on / off switch . two children a and b start playing with the switches . a starts by pressing every third switch till he reaches the end . b , 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 ) 29 , b ) 49 , c ) 39 , d ) 59 , e ) 69", "output": [ "c" ] }, { "id": "task1421-c66dbba6a23f40a4964592f98e38ac62", "input": "Problem: a certain university will select 1 of 6 candidates eligible to fill a position in the mathematics department and 2 of 10 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ? \nOptions: a ) 42 , b ) 270 , c ) 140 , d ) 165 , e ) 315", "output": [ "b" ] }, { "id": "task1421-b3ebfa431173461a8be4ba54f72276e0", "input": "Problem: x starts a business with rs . 45000 . y joins in the business after 8 months with rs . 30000 . what will be the ratio in which they should share the profit at the end of the year ? \nOptions: a ) 1 : 2 , b ) 9 : 2 , c ) 1 : 3 , d ) 3 : 1 , e ) 1 : 1", "output": [ "b" ] }, { "id": "task1421-eeb220118bd1489fb35386ff8b163ff0", "input": "Problem: out of 450 students of a school , 325 play football , 175 play cricket and 50 neither play football nor cricket . how many students play both football and cricket ? \nOptions: a ) 75 , b ) 100 , c ) 125 , d ) 150 , e ) none of these", "output": [ "b" ] }, { "id": "task1421-31523f314bc042b3911e7ed7ab4ad623", "input": "Problem: a bag contains 7 red , 5 blue and 4 green balls . if 2 ballsare picked at random , what is the probability that both are red ? \nOptions: a ) 2 / 15 , b ) 2 / 21 , c ) 7 / 40 , d ) 3 / 29 , e ) 4 / 27", "output": [ "c" ] }, { "id": "task1421-fa5f40ef45b54bcabcaa00bc19ccf205", "input": "Problem: water consists of hydrogen and oxygen , and the approximate ratio , by mass , of hydrogen to oxygen is 2 : 16 . approximately how many grams of oxygen are there in 135 grams of water ? \nOptions: a ) 120 , b ) 116 , c ) 112 , d ) 108 , e ) 104", "output": [ "a" ] }, { "id": "task1421-6eafd1e76c244198bd48db523ba87cd4", "input": "Problem: in a neighborhood having 90 households , 11 did not have either a car or a bike . if 16 households had a both a car and a bike and 44 had a car , how many had bike only ? \nOptions: a ) 30 , b ) 35 , c ) 20 , d ) 18 , e ) 10", "output": [ "b" ] }, { "id": "task1421-5e0c1c957a8b480ba06e5be7b64c23d3", "input": "Problem: in what ratio must rice of rs . 30 per kg be mixed with rice of rs . 56 per kg so that cost of mixture is rs . 35 per kg ? \nOptions: a ) 28 : 15 , b ) 6 : 7 , c ) 7 : 6 , d ) 5 : 21 , e ) 21 : 5", "output": [ "e" ] }, { "id": "task1421-ed74bae24033492ea3929488d1dcd1d4", "input": "Problem: what number has a 5 : 1 ratio to the number 13 ? \nOptions: a ) 22 , b ) 50 , c ) 88 , d ) 65 , e ) 12", "output": [ "d" ] }, { "id": "task1421-03d0f9cf808c486e8976cceddb8ed8ae", "input": "Problem: on a certain farm the ratio of horses to cows is 5 : 1 . if the farm were to sell 15 horses and buy 15 cows , the ratio of horses to cows would then be 17 : 7 . after the transaction , how many more horses than cows would the farm own ? \nOptions: a ) 30 , b ) 40 , c ) 50 , d ) 60 , e ) 70", "output": [ "c" ] }, { "id": "task1421-1f8af65e4d114a5d86559d2b14c3bc90", "input": "Problem: the h . c . f . of two numbers is 23 and the other two factors of their l . c . m . are 13 and 18 . the larger of the two numbers is : \nOptions: a ) 276 , b ) 414 , c ) 322 , d ) 345 , e ) 355", "output": [ "b" ] }, { "id": "task1421-791600d7d66f4b4188472c6b0ef6d282", "input": "Problem: in a group of 150 readers who read science fiction or literacy works or both , 120 read science fiction and 90 read literacy works . how many read both science fiction and literacy works ? \nOptions: a ) 70 , b ) 60 , c ) 90 , d ) 100 , e ) 110", "output": [ "b" ] }, { "id": "task1421-ab35b61f07884ec59be3a8d69baafece", "input": "Problem: in a certain school , the ratio of boys to girls is 5 to 17 . if there are 72 more girls than boys , how many boys are there ? \nOptions: a ) 27 , b ) 36 , c ) 45 , d ) 72 , e ) 108", "output": [ "e" ] }, { "id": "task1421-b2cd08d32197470993f0f6ebfd729319", "input": "Problem: what is the square root of 6,561 ? \nOptions: a ) 18 , b ) 9 , c ) 45 , d ) 62 , e ) 81", "output": [ "e" ] }, { "id": "task1421-979e768c831f46f3b1c3e1140a51d5a7", "input": "Problem: if the numbers 1 to 95 are written on 95 pieces of paper , ( one on each ) and one piece is picked at random , then what is the probability that the number drawn is neither prime nor composite ? \nOptions: a ) 1 / 50 , b ) 1 / 25 , c ) 1 / 95 , d ) 1 , e ) 2", "output": [ "c" ] }, { "id": "task1421-0fc983327de2472fbfdb1bff27dcb74b", "input": "Problem: at an international conference , “ red ” world countries and “ blue ” world countries are the only participants . the ratio of “ red ” world participants to “ blue ” world participants is 2 : 1 . if one - third of “ red ” world participants are left - handed and two - thirds of “ blue ” world participants are left - handed , then what is the fraction of the participants who are left - handed ? \nOptions: a ) 2 / 3 , b ) 4 / 5 , c ) 6 / 2 , d ) 5 / 2 , e ) 4 / 9", "output": [ "e" ] }, { "id": "task1421-043f4c9ed94b4477bdb1b2a5a5f3205a", "input": "Problem: in a chess competition involving some men and women , every player needs to play exactly one game with every other player . it was found that in 45 games , both the players were women and in 190 games , both players were men . what is the number of games in which one person was a man and other person was a woman ? \nOptions: a ) 40 , b ) 120 , c ) 180 , d ) 200 , e ) 220", "output": [ "d" ] }, { "id": "task1421-2c2f0a874cdd40a2b3d3b5a16ef4f08b", "input": "Problem: if v and d are both integers , v > d , and - 3 v > 19 , then the largest value of d would be ? \nOptions: a ) - 5 , b ) - 6 , c ) - 7 , d ) - 8 , e ) - 10", "output": [ "d" ] }, { "id": "task1421-40a42fe7b16b413485f2396814f61c5e", "input": "Problem: each of the dogs in a certain kennel is a single color . each of the dogs in the kennel either has long fur or does not . of the 45 dogs in the kennel , 26 have long fur , 22 are brown , and 8 are neither long - furred nor brown . how many long - furred dogs are brown ? \nOptions: a ) 26 , b ) 19 , c ) 11 , d ) 8 , e ) 6", "output": [ "c" ] }, { "id": "task1421-7da73935d31f4e3f8a5415cb8b442a71", "input": "Problem: if shares of two persons in profits are rs . 600 and rs . 1000 then ratio of their capitals is \nOptions: a ) 3 : 5 , b ) 2 : 3 , c ) 4 : 3 , d ) 1 : 3 , e ) 1 : 2", "output": [ "a" ] }, { "id": "task1421-75826cb02f8e435faaaac3267b20c3a6", "input": "Problem: income and expenditure of a person are in the ratio 7 : 6 . if the income of the person is rs . 21000 , then find his savings ? \nOptions: a ) rs . 3600 , b ) rs . 3603 , c ) rs . 3639 , d ) rs . 3000 , e ) rs . 3602", "output": [ "d" ] }, { "id": "task1421-d5324addb44b4cd7a8998485b61a1fcb", "input": "Problem: the sub - duplicate ratio of 16 : 64 is \nOptions: a ) 4 : 3 , b ) 1 : 2 , c ) 1 : 3 , d ) 1 : 4 , e ) 2 : 4", "output": [ "e" ] }, { "id": "task1421-4739a05753b24893adcb16b7db2226d8", "input": "Problem: find the number of zeroes in 58 ! ( 58 factorial ) \nOptions: a ) 12 , b ) 13 , c ) 14 , d ) 15 , e ) 16", "output": [ "b" ] }, { "id": "task1421-cf9ff728a420427a9d088b9710dd918f", "input": "Problem: a certain car dealership sells economy cars , luxury cars , and sport utility vehicles . the ratio of economy to luxury cars is 3 : 1 . the ratio of economy cars to sport utility vehicles is 4 : 3 . what is the ratio of luxury cars to sport utility vehicles ? \nOptions: a ) 9 : 8 , b ) 4 : 9 , c ) 3 : 2 , d ) 2 : 3 , e ) 1 : 2", "output": [ "b" ] }, { "id": "task1421-ce260f2437054edd8e558cb5c61f6c5e", "input": "Problem: a box contains 4 black , 3 red and 6 green marbles . 2 marbles are drawn from the box at random . what is the probability that both the marbles are of the same color ? \nOptions: a ) 24 / 78 , b ) 24 / 709 , c ) 24 / 76 , d ) 24 / 71 , e ) 24 / 72", "output": [ "a" ] }, { "id": "task1421-94bb2a78527e4e2089f9e085afe4f032", "input": "Problem: the ratio of buses to cars on river road is 1 to 10 . if there are 90 fewer buses than cars on river road , how many cars are on river road ? \nOptions: a ) 50 , b ) 40 , c ) 100 , d ) 30 , e ) 20", "output": [ "c" ] }, { "id": "task1421-f2787307f2b648969626893afabdceb4", "input": "Problem: if n is the greatest positive integer for which 2 ^ n is a factor of 8 ! , then n = ? \nOptions: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 10", "output": [ "c" ] }, { "id": "task1421-3c73a44614234232b4980a102ffd1963", "input": "Problem: in a group of cheerleaders , the group made of 10 males and 16 females . every cheerleader gets to choose between a coke or malt . the number of those that choose malt is double the number that chose coke , if all the 6 males choose malt , how many females chose malt ? \nOptions: a ) 30 , b ) 5 , c ) 8 , d ) 20 , e ) 10", "output": [ "c" ] }, { "id": "task1421-9b395cd195474476a9621b1012826b2e", "input": "Problem: if 63 percent of a class answered the first question on a certain test correctly , 49 percent answered the second question on the test correctly , and 20 percent answered neither of the questions correctly , what percent answered both correctly ? \nOptions: a ) 22 % , b ) 24 % , c ) 26 % , d ) 28 % , e ) 32 %", "output": [ "e" ] }, { "id": "task1421-c6fd85cbaa2840f0bfa332f8fb36f07b", "input": "Problem: the ratio of 2 numbers is 5 : 2 and their h . c . f . is 20 . their l . c . m . is ? \nOptions: a ) 400 , b ) 300 , c ) 200 , d ) 100 , e ) 40", "output": [ "c" ] }, { "id": "task1421-c8e34b17bc8f4cc79e9f7d9ec546a3a9", "input": "Problem: the ratio of 2 numbers is 3 : 7 and their h . c . f . is 10 . their l . c . m . is ? \nOptions: a ) 220 , b ) 210 , c ) 252 , d ) 236 , e ) 260", "output": [ "b" ] }, { "id": "task1421-388f6dcbad804f46a383dbd4842de63d", "input": "Problem: a container holding 15 ounces of a solution that is 1 part alcohol to 2 parts water is added to a container holding 8 ounces of a solution that is 1 part alcohol to 3 parts water . what is the ratio of alcohol to water in the resulting solution ? \nOptions: a ) 2 : 5 , b ) 3 : 7 , c ) 3 : 5 , d ) 4 : 7 , e ) 7 : 16", "output": [ "e" ] }, { "id": "task1421-11dc19a6e216489bad9b9680cc1ab62d", "input": "Problem: if x and y are sets of integers , x # y denotes the set of integers that belong to set x or set y , but not both . if x consists of 12 integers , y consists of 18 integers , and 6 of the integers are in both x and y , then x # y consists of how many integers ? \nOptions: a ) 6 , b ) 16 , c ) 18 , d ) 30 , e ) 174", "output": [ "c" ] }, { "id": "task1421-e7159fb4e146439ebca5c3f22d92148a", "input": "Problem: what is the square root of 168,921 ? \nOptions: a ) 476 , b ) 389 , c ) 497 , d ) 411 , e ) 524", "output": [ "d" ] }, { "id": "task1421-8c44fa8c8ab6458185ee076e21409fcd", "input": "Problem: the ratio of boarders to day students at a school was originally 2 to 5 . however , after a number of new boarders join the initial 120 boarders , the ratio changed to 1 to 2 . if no boarders became day students and vice versa , and no students left the school , how many new boarders joined the school ? \nOptions: a ) 30 , b ) 50 , c ) 70 , d ) 80 , e ) 90", "output": [ "a" ] }, { "id": "task1421-7fa0f16eb18448e6a0ed3c84c0fde94f", "input": "Problem: in a group of houses , 40 had dogs , 30 had cats and 10 houses having both dogs and cats . what is the number of houses ? \nOptions: a ) 30 , b ) 60 , c ) 40 , d ) 45 , e ) 50", "output": [ "b" ] }, { "id": "task1421-c4b3a02ab41a4758bee17ded3c396775", "input": "Problem: in a class , 7 students like to play basketball and 5 like to play cricket . 3 students like to play on both basketball and cricket . how many students like to play basketball or cricket or both ? \nOptions: a ) 12 , b ) 15 , c ) 16 , d ) 9 , e ) 22", "output": [ "d" ] }, { "id": "task1421-24ec580cb8604e8fb9165780a25dfb66", "input": "Problem: ratio between rahul and deepak is 4 : 3 , after 6 years rahul age will be 42 years . what is deepak present age . \nOptions: a ) 14 , b ) 15 , c ) 20 , d ) 22 , e ) 27", "output": [ "e" ] }, { "id": "task1421-6114978a8ac04766bc261910ae74d91a", "input": "Problem: mrs . evans gave a test to her freshmen economics class , which has 30 students enrolled and 25 of them answered question 1 correctly . if 22 answered question 2 correctly and 5 did not take the test then how many answered both questions correctly ? \nOptions: a ) 30 , b ) 28 , c ) 26 , d ) 22 , e ) 19", "output": [ "d" ] }, { "id": "task1421-3392d764d5d74332b43f0437d52d4337", "input": "Problem: in a certain state , the ratio of registered republicans to registered democrats is 3 to 2 , and every registered voter is either a republican or a democrat . if 80 percent of the republicans and 25 percent of the democrats are expected to vote for candidate x , and everyone else is expected to vote for candidate y , by what percent is candidate x expected to win the election ? \nOptions: a ) 2 % , b ) 5 % , c ) 16 % , d ) 20 % , e ) 25 %", "output": [ "c" ] }, { "id": "task1421-7ce82dd2f7ee411b9d1b36433f23b253", "input": "Problem: the ratio , by volume , of bleach to detergent to water in a certain solution is 4 : 40 : 100 . the solution will be altered so that the ratio of bleach to detergent is tripled while the ratio of detergent to water is halved . if the altered solution will contain 300 liters of water , how many liters of detergent will it contain ? \nOptions: ['a ) 80', 'b ) 70', 'c ) 60', 'd ) 40', 'e ) 50']", "output": [ "c" ] }, { "id": "task1421-3fa472dada7b4a72afa9f3804ccceb9f", "input": "Problem: a farmer with 1350 acres of land had planted his fields with corn , sugar cane , and tobacco in the ratio of 5 : 2 : 2 , respectively , but he wanted to make more money , so he shifted the ratio to 2 : 2 : 5 , respectively . how many more acres of land were planted with tobacco under the new system ? \nOptions: a ) 90 , b ) 150 , c ) 270 , d ) 300 , e ) 450", "output": [ "e" ] }, { "id": "task1421-e0b1b3b85f80448db45ffb6e348a43d3", "input": "Problem: in a class of 120 students , 25 did not opt for math . 10 did not opt for science and 2 did not opt for either . how many students of the class opted for both math and science ? \nOptions: a ) 63 , b ) 95 , c ) 77 , d ) 87 , e ) 48", "output": [ "d" ] }, { "id": "task1421-83a10cdf0aa0422d87fd276598225687", "input": "Problem: how many of the positive factors of 36 are not factors of 72 \nOptions: a ) 0 , b ) 3 , c ) 4 , d ) 5 , e ) 1", "output": [ "a" ] }, { "id": "task1421-7e91307762784496b8a561d9b98062f9", "input": "Problem: in a sports club with 30 members , 16 play badminton and 19 play tennis and 2 do not play either . how many members play both badminton and tennis ? \nOptions: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11", "output": [ "a" ] }, { "id": "task1421-5eb3fe2bfa334a8281be704646adaeef", "input": "Problem: a certain university will select 1 of 7 candidates eligible to fill a position in the mathematics department and 2 of 12 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ? \nOptions: a ) 42 , b ) 70 , c ) 140 , d ) 165 , e ) 462", "output": [ "e" ] }, { "id": "task1421-a2eedc70f020484daf4a4b161db2e55c", "input": "Problem: two numbers are in the ratio of 2 : 3 . if 20 be subtracted from each , they are in the ratio of 10 : 17 . find the numbers ? \nOptions: a ) 70,105 , b ) 60,88 , c ) 80,120 , d ) 60,84 , e ) 60,81", "output": [ "a" ] }, { "id": "task1421-9c01533a2a114b03989d582a653ca401", "input": "Problem: what is the greatest positive integer e such that 3 ^ e is a factor of 9 ^ 10 ? \nOptions: a ) e = 5 , b ) e = 9 , c ) e = 10 , d ) e = 20 , e ) 30", "output": [ "d" ] }, { "id": "task1421-e3e2a02920bf4c239af8e2d652aae037", "input": "Problem: set a consists of the integers from 4 to 17 , inclusive , while set b consists of the integers from 6 to 20 , inclusive . how many distinct integers do belong to the both sets at the same time ? \nOptions: a ) 5 , b ) 7 , c ) 8 , d ) 9 , e ) 12", "output": [ "e" ] }, { "id": "task1421-291c8efa03df40718757b6695b62b756", "input": "Problem: in a group of people , if 30 people were made to stand in each column , 16 columns could be formed . if 48 people were made to stand in a column , how many columns could be formed ? \nOptions: a ) 10 , b ) 12 , c ) 14 , d ) 16 , e ) 18", "output": [ "a" ] }, { "id": "task1421-fb6f74feb0dc47bcb127f7a129ca95a4", "input": "Problem: the ratio of money with ram and gopal is 7 : 17 and that with gopal and krishan is 7 : 17 . if ram has rs . 686 , krishan has ? \nOptions: a ) s . 2890 , b ) s . 4046 , c ) s . 1190 , d ) s . 1620 , e ) s . 2680", "output": [ "b" ] }, { "id": "task1421-e3bfc88eed3646c9a847e0f868a2a462", "input": "Problem: in a certain animal shelter , the ratio of the number of catsto the number of dogs is 15 to 7 . if 12 additional dogs were to be taken in by the shelter , the ratio of the number of cats to the number of dogs would be 15 to 11 . how many cats are in the shelter ? \nOptions: a ) 15 , b ) 45 , c ) 30 , d ) 45 , e ) 60", "output": [ "b" ] }, { "id": "task1421-5e2f1b06fd86465dba8c4edc66f500c2", "input": "Problem: how many prime numbers between 1 and 100 are factors of 143 ? \nOptions: a ) 6 , b ) 5 , c ) 4 , d ) 2 , e ) 3", "output": [ "d" ] }, { "id": "task1421-4b4e9cf80c8d4d80aa86d8bbccc271a2", "input": "Problem: the number of stamps that kaye and alberto had were in the ration of 6 : 4 respectively . after kaye gave alberto 5 of her stamps , the ration of the number of kaye had to the number of alberto had was 8 : 6 . as a result of the gift , kaye had how many more stamps than alberto ? \nOptions: a ) 22 , b ) 25 , c ) 15 , d ) 35 , e ) 30", "output": [ "b" ] }, { "id": "task1421-586f18d667724ff0ba877ea55e5941b3", "input": "Problem: a certain car dealership sells economy cars , luxury cars , and sport utility vehicles . the ratio of economy to luxury cars is 4 : 3 . the ratio of economy cars to sport utility vehicles is 6 : 5 . what is the ratio of luxury cars to sport utility vehicles ? \nOptions: a ) 9 : 10 , b ) 8 : 9 , c ) 3 : 2 , d ) 2 : 3 , e ) 1 : 2", "output": [ "a" ] }, { "id": "task1421-8d0a132d721241a49920fa779b4f2a06", "input": "Problem: sachin is younger than rahul by 18 years . if the ratio of their ages is 7 : 9 , find the age of sachin \nOptions: a ) 24.5 , b ) 63 , c ) 65 , d ) 36 , e ) 24.19", "output": [ "b" ] }, { "id": "task1421-49568c6eb77e4c5294e52e413146e10e", "input": "Problem: a bag has 9 green balls and 23 pink balls . how many green balls should be added to the bag so that the ratio of green balls and pink balls in the bag becomes 1 : 1 ? \nOptions: a ) 10 , b ) 11 , c ) 12 , d ) 13 , e ) 14", "output": [ "e" ] }, { "id": "task1421-722547924a7641d88915a10a7d0d576d", "input": "Problem: solution a is 20 % sugar and solution b is 80 % sugar . if you have 30 ounces of solution a and 60 ounces of solution b , in what ratio could you mix solution a with solution b to produce 50 ounces of a 50 % sugar solution ? \nOptions: a ) 6 : 4 , b ) 6 : 14 , c ) 4 : 4 , d ) 4 : 6 , e ) 3 : 7", "output": [ "c" ] }, { "id": "task1421-f6c7a395dfde4e9e82836a0019d21bb0", "input": "Problem: divide $ 600 among a , b in the ratio 1 : 2 . how many $ that a get ? \nOptions: a ) $ 50 , b ) $ 500 , c ) $ 150 , d ) $ 250 , e ) $ 600", "output": [ "e" ] }, { "id": "task1421-d96310bebd2f454dbf7c2a94f39b8263", "input": "Problem: a grocery store bought some mangoes at a rate of 5 for a dollar . they were separated into two stacks , one of which was sold at a rate of 3 for a dollar and the other at a rate of 9 for a dollar . what was the ratio of the number of mangoes in the two stacks if the store broke even after having sold all of its mangoes ? \nOptions: a ) 1 : 4 , b ) 1 : 5 , c ) 3 : 2 , d ) 1 : 2 , e ) 2 : 5", "output": [ "c" ] }, { "id": "task1421-e139d8d809d145da8b189b812a7c851b", "input": "Problem: in a group of 60 people , 35 have visited iceland and 23 have visited norway . if 31 people have visited both iceland and norway , how many people have visited neither country ? \nOptions: a ) 30 , b ) 31 , c ) 32 , d ) 33 , e ) 34", "output": [ "d" ] }, { "id": "task1421-6beaa87c40c849c8ba0e5bf7fee597ab", "input": "Problem: if shares of two persons in profits are rs . 400 and rs . 500 then ratio of their capitals is \nOptions: a ) 3 : 4 , b ) 4 : 5 , c ) 4 : 3 , d ) 1 : 3 , e ) 1 : 2", "output": [ "b" ] }, { "id": "task1421-760202b752d141a1a34f46bdaed255f5", "input": "Problem: what is the greatest positive integer w such that 3 ^ w is a factor of 9 ^ 10 ? \nOptions: a ) 5 , b ) w = 9 , c ) w = 10 , d ) w = 20 , e ) w = 30", "output": [ "d" ] }, { "id": "task1421-174a7293a82544b5830e9894f6a903ef", "input": "Problem: two varieties of steel , a and b , have a ratio of iron to chromium as 5 : 1 and 7 : 2 , respectively . steel c is produced by mixing alloys a and b at a ratio of 3 : 2 . what is the ratio of iron to chromium in c ? \nOptions: a ) 17 : 73 , b ) 78 : 14 , c ) 45 : 30 , d ) 73 : 17 , e ) 4 : 9", "output": [ "d" ] }, { "id": "task1421-24711786e2cb425fae6150da9a82e97f", "input": "Problem: water consists of hydrogen and oxygen , and the approximate ratio , by mass , of hydrogen to oxygen is 2 : 16 . approximately how many grams of oxygen are there in 144 grams of water ? \nOptions: a ) 16 , b ) 72 , c ) 112 , d ) 128 , e ) 142", "output": [ "d" ] }, { "id": "task1421-8ec11b6df73541afac9ae490302a10a8", "input": "Problem: in a group of 28 junior high school students , 7 take french , 10 take spanish , and 4 take both languages . the students taking both french and spanish are not counted with the 7 taking french or the 10 taking spanish . how many students are not taking either french or spanish ? \nOptions: a ) 7 , b ) 6 , c ) 8 , d ) 4 , e ) 3", "output": [ "a" ] }, { "id": "task1421-727b60db02874a6ab8c96c4a89be1049", "input": "Problem: what is the square root of 169 ? \nOptions: a ) 8 , b ) 16 , c ) 13 , d ) 42 , e ) 25", "output": [ "c" ] }, { "id": "task1421-8792054ea63e4289a0ce7c7255d7c6bb", "input": "Problem: if the ratio of a to b is 7 to 3 and the ratio of b to c is 1 to 5 , what is the ratio of a to c ? \nOptions: a ) 4 / 15 , b ) 1 / 3 , c ) 2 / 5 , d ) 4 / 5 , e ) 7 / 15", "output": [ "e" ] }, { "id": "task1421-ac05f1010e1f46808e387beb141c8102", "input": "Problem: a company conducted a survey about its two brands , a and b . x percent of respondents liked product a , ( x – 20 ) percent liked product b , 23 percent liked both products , and 23 percent liked neither product . what is the minimum number d of people surveyed by the company ? \nOptions: a ) 46 , b ) 80 , c ) d . 90 , d ) d . 100 , e ) 200", "output": [ "d" ] }, { "id": "task1421-930943f044a34a1a8aa79170ef2ca306", "input": "Problem: if the numbers 1 to 96 are written on 96 pieces of paper , ( one on each ) and one piece is picked at random , then what is the probability that the number drawn is neither prime nor composite ? \nOptions: a ) 1 / 50 , b ) 1 / 25 , c ) 1 / 96 , d ) 1 , e ) 2", "output": [ "c" ] }, { "id": "task1421-9341eb31537240e9a1139091fd706284", "input": "Problem: if w is the set of all the integers between 49 and 76 , inclusive , that are either multiples of 3 or multiples of 2 or multiples of both , then w contains how many numbers ? \nOptions: a ) 19 , b ) 91 , c ) 41 , d ) 18 , e ) 14", "output": [ "a" ] }, { "id": "task1421-be06f65bca38436fb401edc6aa595e0a", "input": "Problem: in township k , 1 / 5 of the housing units are equiped with cable tv . if 1 / 12 of the housing units , including 1 / 3 of those that are equiped with cable tv , are equipped with videocassette recorders , what fraction of the housing units have neither cable tv nor videocassette recorders ? \nOptions: a ) 23 / 30 , b ) 11 / 15 , c ) 47 / 60 , d ) 1 / 6 , e ) 2 / 15", "output": [ "c" ] }, { "id": "task1421-54aaf75d6cf243bd97e5bca4db8b6f55", "input": "Problem: divide $ 600 among a , b in the ratio 1 : 3 . how many $ that a get ? \nOptions: a ) $ 50 , b ) $ 500 , c ) $ 150 , d ) $ 250 , e ) $ 600", "output": [ "c" ] }, { "id": "task1421-7f356d3959ea4212b66530c1b9a8005a", "input": "Problem: share rs . 6600 among john , jose & binoy in the ration 2 : 4 : 6 . find the amount received by john ? \nOptions: a ) 2200 , b ) 980 , c ) 1200 , d ) 1240 , e ) 1400", "output": [ "a" ] }, { "id": "task1421-006b4ba1f58042e996407c45a370ff55", "input": "Problem: find the fraction which has the same ratio to 2 / 13 that 5 / 34 has to 7 / 48 . \nOptions: a ) 240 / 1587 , b ) 240 / 1545 , c ) 240 / 1547 , d ) 240 / 1542 , e ) 240 / 1512", "output": [ "c" ] }, { "id": "task1421-84348dbf754b41a5ad6eddd7f246ddab", "input": "Problem: nitin ranks 15 th in a class of 47 students . what is rank from the last ? \nOptions: a ) 33 , b ) 38 , c ) 32 , d ) 28 , e ) 19", "output": [ "a" ] }, { "id": "task1421-ffe9beef809148af85110906647de61f", "input": "Problem: set a consists of the integers from 5 to 10 , inclusive , while set b consists of the integers from 1 to 8 , inclusive . how many distinct integers do belong to the both sets at the same time ? \nOptions: a ) 5 , b ) 10 , c ) 8 , d ) 2 , e ) 4", "output": [ "e" ] }, { "id": "task1421-29510fcf26be49fb96f5674920256cf2", "input": "Problem: a person want to give his money of $ 900 to his 3 children a , b , c in the ratio 2 : 3 : 4 . what is the b ' s share ? \nOptions: a ) $ 400 , b ) $ 300 , c ) $ 500 , d ) $ 180 , e ) $ 200", "output": [ "b" ] }, { "id": "task1421-4a3ff534dc7e45b9b5283f8e18b6c9ab", "input": "Problem: an ore contains 25 % of an alloy that has 90 % iron . other than this , in the remaining 75 % of the ore , there is no iron . how many kilograms of the ore are needed to obtain 60 kg of pure iron ? \nOptions: a ) 250 kg , b ) 275 kg , c ) 300 kg , d ) 266.66 kg , e ) none", "output": [ "d" ] }, { "id": "task1421-f1d7cc5aa8674591b431c6ea30ba6a97", "input": "Problem: the ratio of two numbers is 2 : 3 and their h . c . f . is 6 . their l . c . m . is \nOptions: a ) 48 , b ) 22 , c ) 36 , d ) 27 , e ) 67", "output": [ "c" ] }, { "id": "task1421-2ef9066e8ec241a7a3a53a3224821d26", "input": "Problem: the ratio between the number of passengers travelling by i and ii class between the two railway stations is 1 : 50 , whereas the ratio of i and ii class fares between the same stations is 3 : 1 . if on a particular day rs . 1,325 were collected from the passengers travelling between these stations , then what was the amount collected from the ii class passengers ? \nOptions: a ) rs . 750 , b ) rs . 1000 , c ) rs . 850 , d ) rs . 1250 , e ) none of these", "output": [ "d" ] }, { "id": "task1421-400c953bd1ae4a62a8b0fb7239a37fcb", "input": "Problem: a group of people participate in some curriculum , 30 of them practice yoga , 20 study cooking , 15 study weaving , 5 of them study cooking only , 8 of them study both the cooking and yoga , 5 of them participate all curriculums . how many people study both cooking and weaving ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "b" ] }, { "id": "task1421-726e0be2958948ef9ed3454cb87ea144", "input": "Problem: 11 different biology books and 8 different chemistry books lie on a shelf . in how many ways can a student pick 2 books of each type ? \nOptions: a ) 80 , b ) 160 , c ) 720 , d ) 1100 , e ) 1540", "output": [ "e" ] }, { "id": "task1421-6dd0f820571e426793590dfd0e0300fe", "input": "Problem: a box contains 6 white , 5 red and 8 white marbles . 5 marbles are drawn from the box at random . what is the probability that both the marbles are of the same color ? \nOptions: a ) 19 / 11628 , b ) 36 / 11628 , c ) 613 / 11628 , d ) 6113 / 11628 , e ) 63 / 11628", "output": [ "e" ] }, { "id": "task1421-4e118b4351af4c53aec91d92f75adb7a", "input": "Problem: a bag contains 8 red , 6 blue and 4 green balls . if 2 ballsare picked at random , what is the probability that both are red ? \nOptions: a ) 1 / 13 , b ) 2 / 23 , c ) 5 / 26 , d ) 7 / 30 , e ) 3 / 23", "output": [ "d" ] }, { "id": "task1421-44339a73e8f34882918a76c87d5c172c", "input": "Problem: a salesman sold twice as much pears in the afternoon than in the morning . if he sold $ 480 kilograms of pears that day , how many kilograms did he sell in the afternoon ? \nOptions: a ) 120 , b ) 180 , c ) 240 , d ) 280 , e ) 320", "output": [ "e" ] }, { "id": "task1421-689601d491504afd8f8bb9ba80514451", "input": "Problem: if ryan and smith car ratio is 5 : 8 . ryan bought 6 new car and smith bought 2 new car . now , smith has 18 car . what is their car ratio now ? \nOptions: a ) 5 : 4 , b ) 3 : 2 , c ) 8 : 9 , d ) 6 : 5 , e ) 7 : 5", "output": [ "c" ] }, { "id": "task1421-9f7212c8b5b74e30b2d9fc31d6f95d26", "input": "Problem: income and expenditure of a person are in the ratio 10 : 7 . if the income of the person is rs . 10000 , then find his savings ? \nOptions: a ) 3005 , b ) 3098 , c ) 3300 , d ) 3010 , e ) 3000", "output": [ "e" ] }, { "id": "task1421-ee86a6aa02b14122a42aa79e7d8fee2a", "input": "Problem: two numbers are in the ratio of 1 : 2 . if 8 be added to both , their ratio changes to 3 : 5 . the greater number is \nOptions: a ) 20 , b ) 24 , c ) 28 , d ) 32 , e ) 36", "output": [ "d" ] }, { "id": "task1421-c8a7e00416ab49108e7280d24ccbb040", "input": "Problem: in a class of 35 students 26 play football and play 20 long tennis , if 17 play above , many play neither ? \nOptions: a ) 6 , b ) 8 , c ) 10 , d ) 12 , e ) 14", "output": [ "a" ] }, { "id": "task1421-5b0e4bfc73004749a552506408fcb8e1", "input": "Problem: find the compound ratio of ( 3 : 4 ) , ( 4 : 5 ) and ( 1 : 2 ) is \nOptions: a ) 1 : 2 , b ) 2 : 3 , c ) 3 : 10 , d ) 4 : 10 , e ) 3 : 2", "output": [ "c" ] }, { "id": "task1421-955b136cc88b445e9794bdaae1ff0d93", "input": "Problem: right now , the ratio between the ages of sandy and molly is 4 : 3 . after 6 years , sandy ’ s age will be 42 years . what is molly ' s age right now ? \nOptions: a ) 24 , b ) 27 , c ) 30 , d ) 33 , e ) 36", "output": [ "b" ] }, { "id": "task1421-3071246589f34c169bfd29a6ec961eac", "input": "Problem: the ratio of numbers is 3 : 4 and their h . c . f is 8 . their l . c . m is : \nOptions: a ) 12 , b ) 96 , c ) 24 , d ) 48 , e ) 98", "output": [ "b" ] }, { "id": "task1421-7c236938cc414418885bcbb36f4e1441", "input": "Problem: pens , pencils and markers in a jenna ' s desk are in the ratio of 2 : 2 : 5 . if there are 10 pens , the number of markers in jenna ' s desk is : \nOptions: a ) 30 , b ) 22 , c ) 20 , d ) 25 , e ) 100", "output": [ "d" ] }, { "id": "task1421-2ad3fec64e49477581ef1c4a1f1a1867", "input": "Problem: two vessels p and q contain 62.5 % and 87.5 % of alcohol respectively . if 6 litres from vessel p is mixed with 4 litres from vessel q , the ratio of alcohol and water in the resulting mixture is ? \nOptions: a ) 19 : 2 , b ) 18 : 3 , c ) 29 : 11 , d ) 29 : 5 , e ) 29 : 4", "output": [ "c" ] }, { "id": "task1421-e8af5c8d9b4d402998dcd77626ea3de2", "input": "Problem: if both 5 ^ 3 and 3 ^ 4 are factors of n x ( 2 ^ 5 ) x ( 12 ^ 2 ) x ( 7 ^ 3 ) x ( 10 ^ 2 ) , what is the smallest possible positive value of n ? \nOptions: a ) 15 , b ) 45 , c ) 75 , d ) 125 , e ) 150", "output": [ "b" ] }, { "id": "task1421-4dfd347a7faa431ba182cfca38496a58", "input": "Problem: there are 12 slate rocks , 16 pumice rocks , and 8 granite rocks randomly distributed in a certain field . if 2 rocks are chosen at random and without replacement , what is the probability that both rocks will be slate rocks ? \nOptions: a ) 3 / 32 , b ) 7 / 64 , c ) 11 / 105 , d ) 15 / 127 , e ) 19 / 134", "output": [ "c" ] }, { "id": "task1421-d71f8193b83b45088d93f1fea0ee2b3a", "input": "Problem: one year ago , the ratio of roonie ’ s and ronaldo ’ s age was 6 : 7 respectively . 4 years hence , this ratio would become 7 : 8 . how old is ronaldo ? \nOptions: a ) 32 , b ) 33 , c ) 34 , d ) 35 , e ) 36", "output": [ "e" ] }, { "id": "task1421-25d9a90717e945c38042e011e0f8d390", "input": "Problem: a certain fruit stand sold apples for $ 0.80 each and bananas for $ 0.70 each . if a customer purchased both apples and bananas from the stand for a total of $ 7.30 , what total number of apples and bananas did the customer purchase ? \nOptions: a ) 9 , b ) 10 , c ) 11 , d ) 12 , e ) 13", "output": [ "b" ] }, { "id": "task1421-6e0a04d9a2a443d08b34aa9610e792be", "input": "Problem: at a certain restaurant , the ratio of the number of cooks to the number of waiters is 3 to 10 . when 12 more waiters are hired , the ratio of the number of cooks to the number of waiters changes to 3 to 14 . how many cooks does the restaurant have ? \nOptions: a ) 4 , b ) 6 , c ) 9 , d ) 12 , e ) 15", "output": [ "c" ] }, { "id": "task1421-9bddc7f678b74bffb89e3892cb7cd338", "input": "Problem: in what ratio mental a at rs . 68 per kg be mixed with another metal at rs . 96 per kg so that cost of alloy ( mixture ) is rs . 76 per kg ? \nOptions: a ) 5 : 8 , b ) 4 : 7 , c ) 3 : 7 , d ) 9 : 5 , e ) 5 : 2", "output": [ "e" ] }, { "id": "task1421-149d70fdf11747c396f5302756b55f71", "input": "Problem: the least whole number which when subtracted from both the terms of the ratio 6 : 7 to give a ra ɵ o less than 16 : 21 , is \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "a" ] }, { "id": "task1421-cf3fd6a725384552a873572f70038cb8", "input": "Problem: what is the greatest positive integer n such that 3 ^ n is a factor of 36 ^ 50 ? \nOptions: a ) 100 , b ) 200 , c ) 300 , d ) 600 , e ) 900", "output": [ "a" ] }, { "id": "task1421-5e4be4ce2cb148c794bf471b95679733", "input": "Problem: two assembly line inspectors , lauren and steven , inspect widgets as they come off the assembly line . if lauren inspects every fifth widget , starting with the fifth , and steven inspects every third , starting with the third , how many of the 99 widgets produced in the first hour of operation are not inspected by either inspector ? \nOptions: a ) 35 , b ) 40 , c ) 45 , d ) 50 , e ) 55", "output": [ "e" ] }, { "id": "task1421-6da266a6358e4e5895e1dbe008e94981", "input": "Problem: a group of people participate in some curriculum , 30 of them practice yoga , 25 study cooking , 15 study weaving , 6 of them study cooking only , 8 of them study both the cooking and yoga , 7 of them participate all curriculums . how many people study both cooking and weaving ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "d" ] }, { "id": "task1421-380bec809d9d465ca8db96bde868f8a0", "input": "Problem: the ratio between the present ages of a and b is 3.5 : 3 respectively . the ratio between a ' s age 4 years ago and b ' s age 4 years hence is 1 : 1 . what is the ratio between a ' s age 4 years hence and b ' s age 4 years ago ? \nOptions: a ) 14 : 4 , b ) 13 : 0 , c ) 15 : 11 , d ) 13 : 12 , e ) 13 : 17", "output": [ "c" ] }, { "id": "task1421-df57909de712470da37b42d0d98908b3", "input": "Problem: at the faculty of aerospace engineering , 310 students study random - processing methods , 232 students study scramjet rocket engines and 112 students study them both . if every student in the faculty has to study one of the two subjects , how many students are there in the faculty of aerospace engineering ? \nOptions: a ) 430 , b ) 432 , c ) 440 , d ) 442 , e ) 446", "output": [ "a" ] }, { "id": "task1421-e5d7d7fb3519452bb20d0d685c249baa", "input": "Problem: there are 12 slate rocks , 17 pumice rocks , and 8 granite rocks randomly distributed in a certain field . if 2 rocks are chosen at random and without replacement , what is the probability that both rocks will be slate rocks ? \nOptions: a ) 5 / 36 , b ) 7 / 64 , c ) 9 / 83 , d ) 11 / 111 , e ) 13 / 135", "output": [ "d" ] }, { "id": "task1421-aaa4e31f3381483ea41e7f19b6dd82c1", "input": "Problem: if 75 percent of a class answered the first question on a certain test correctly , 70 percent answered the second question on the test correctly , and 20 percent answered neither of the questions correctly , what percent answered both correctly ? \nOptions: a ) 10 % , b ) ( 8 ) 20 % , c ) 30 % , d ) 50 % , e ) 65 %", "output": [ "e" ] }, { "id": "task1421-d4763f51e7d447ad86707e6e5407ac58", "input": "Problem: a number is said to be prime saturated if the product of all the different positive prime factors of d is less than the square root of d . what is the greatest two digit prime saturated integer ? \nOptions: a ) 99 , b ) 98 , c ) 97 , d ) 96 , e ) 95", "output": [ "d" ] }, { "id": "task1421-8b91fade38ab4eb3880b2cbff11ef6c3", "input": "Problem: find the number of different prime factors of 12800 \nOptions: a ) 4 , b ) 2 , c ) 3 , d ) 5 , e ) 6", "output": [ "b" ] }, { "id": "task1421-e07101bd8cb041fbb6838f716edc3574", "input": "Problem: a certain university will select 1 of 7 candidates eligible to fill a position in the mathematics department and 2 of 8 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ? \nOptions: a ) 42 , b ) 70 , c ) 140 , d ) 196 , e ) 315", "output": [ "d" ] }, { "id": "task1421-a7d95d96ccda49a3a804ea8235b3c18b", "input": "Problem: three numbers are in the ratio of 2 : 3 : 4 and their l . c . m . is 288 . what is their h . c . f . ? \nOptions: a ) 18 , b ) 24 , c ) 36 , d ) 42 , e ) 48", "output": [ "b" ] }, { "id": "task1421-9c7ef2c19e894255a3704a3ddb4a814d", "input": "Problem: the marks obtained by vijay and amith are in the ratio 8 : 5 and those obtained by amith and abhishek in the ratio of 3 : 2 . the marks obtained by vijay and abhishek are in the ratio of ? \nOptions: a ) 12 : 5 , b ) 12 : 1 , c ) 6 : 5 , d ) 12 : 2 , e ) 6 : 3", "output": [ "a" ] }, { "id": "task1421-4d84e1766a3f4272b76df68745c5ee65", "input": "Problem: if x and y are both odd prime numbers and x < y , how many distinct positive integer t factors does 2 xy have ? \nOptions: a ) 3 , b ) 4 , c ) 6 , d ) 8 , e ) 12", "output": [ "d" ] }, { "id": "task1421-4861ba9c4a7540f599e72aa6a21cfab6", "input": "Problem: x starts a business with rs . 54000 . y joins in the business after 9 months with rs . 27000 . what will be the ratio in which they should share the profit at the end of the year ? \nOptions: a ) 1 : 2 , b ) 2 : 1 , c ) 8 : 3 , d ) 3 : 5 , e ) 8 : 1", "output": [ "e" ] }, { "id": "task1421-f1eb067c150246ab904553daffaee74a", "input": "Problem: 24 oz of juice p and 25 oz of juice v are mixed to make smothies x and y . the ratio of p to v in smothie x is 4 is to 1 and that in y is 1 is to 5 . how many ounces of juice p are contained in the smothie x ? \nOptions: a ) 5 , b ) 10 , c ) 15 , d ) 20 , e ) 25", "output": [ "e" ] }, { "id": "task1421-ed7988a25801452f9c1ac6d3279e9bf5", "input": "Problem: the ratio of the incomes of uma and bala is 4 : 3 and the ratio of their expenditure is 3 : 2 . if at the end of the year , each saves $ 5000 then the income of uma is ? \nOptions: a ) $ 24000 , b ) $ 23000 , c ) $ 22000 , d ) $ 21000 , e ) $ 20000", "output": [ "e" ] }, { "id": "task1421-a895039654c348619cac0053161aeb0a", "input": "Problem: at a garage sale , all of the items were sold at different prices . if the price of a radio sold at the garage sale was both the 16 th highest price and the 23 rd lowest price among the prices of the items sold , how many items were sold at the garage sale ? \nOptions: a ) 35 , b ) 36 , c ) 37 , d ) 38 , e ) 39", "output": [ "d" ] }, { "id": "task1421-46d9ca885983430d844d987a5bf29955", "input": "Problem: a number is said to be prime saturated if the product of all the different positive prime factors of n is less than the square root of n . what is the greatest two digit prime saturated integer ? \nOptions: a ) 99 , b ) 98 , c ) 97 , d ) 96 answer , e ) 95", "output": [ "d" ] }, { "id": "task1421-e21188f82476482e99979ead4734581e", "input": "Problem: three numbers are in the ratio of 2 : 3 : 4 and their l . c . m . is 264 . what is their h . c . f . ? \nOptions: a ) 18 , b ) 22 , c ) 24 , d ) 28 , e ) 32", "output": [ "b" ] }, { "id": "task1421-3102f64008634ada896042fe6adde53f", "input": "Problem: tea worth rs . 126 per kg are mixed with a third variety in the ratio 1 : 1 : 2 . if the mixture is worth rs . 153 per kg , the price of the third variety per kg will be \nOptions: a ) rs . 169.50 , b ) rs . 1700 , c ) rs . 175.50 , d ) rs . 180 , e ) none", "output": [ "c" ] }, { "id": "task1421-0773df1ec8d1489194a0dcf077da9faf", "input": "Problem: the probability that event b occurs is 0.4 , and the probability that events a and b both occur is 0.25 . if the probability that either event a or event b occurs is 0.6 , what is the probability that event a will occur ? \nOptions: a ) 0.05 , b ) 0.45 , c ) 0.15 , d ) 0.5 , e ) 0.55", "output": [ "b" ] }, { "id": "task1421-7dce4d7d01bb4257acb47e495b02fc53", "input": "Problem: find the number of different prime factors of 441 \nOptions: a ) 4 , b ) 2 , c ) 3 , d ) 5 , e ) 6", "output": [ "b" ] }, { "id": "task1421-f5864a55ff6140f1a26b69f6432c1b82", "input": "Problem: if 85 percent of the test takers taking an old paper and pencil gmat exam answered the first question on a given math section correctly , and 75 percent of the test takers answered the second question correctly , and 15 percent of the test takers answered neither question correctly , what percent answered both correctly ? \nOptions: a ) 60 % , b ) 65 % , c ) 70 % , d ) 75 % , e ) 80 %", "output": [ "d" ] }, { "id": "task1421-321ecbd8619b476698f61a272113e61f", "input": "Problem: divide rs . 32000 in the ratio 3 : 5 ? \nOptions: a ) 12000 , 20000 , b ) 12000 , 200098 , c ) 12000 , 20007 , d ) 12000 , 20006 , e ) 12000 , 20001", "output": [ "a" ] }, { "id": "task1421-89cba3d0dd2e4220b40a333e348cb44a", "input": "Problem: three numbers are in the ratio 3 : 4 : 5 and their l . c . m . is 6000 . their h . c . f is ? \nOptions: a ) 20 , b ) 30 , c ) 40 , d ) 50 , e ) 100", "output": [ "e" ] }, { "id": "task1421-6939cbd007114bc38b65979d86659ee3", "input": "Problem: in a certain state , the ratio of registered republicans to registered democrats is 3 to 2 , and every registered voter is either a republican or a democrat . if 70 percent of the republicans and 25 percent of the democrats are expected to vote for candidate x , and everyone else is expected to vote for candidate y , by what percent is candidate x expected to win the election ? \nOptions: a ) 2 % , b ) 4 % , c ) 8 % , d ) 10 % , e ) 15 %", "output": [ "b" ] }, { "id": "task1421-5258d0c75869411680f966a00603ffe0", "input": "Problem: if 75 percent of a class answered the first question on a certain test correctly , 35 percent answered the second question on the test correctly , and 20 percent answered neither of the questions correctly , what percent answered both correctly ? \nOptions: a ) 10 % , b ) ( 8 ) 20 % , c ) 30 % , d ) 50 % , e ) 65 %", "output": [ "c" ] }, { "id": "task1421-39d236afad4a486db36ea7512fce0c9b", "input": "Problem: half of the workers in palabras bookstore have read the latest book by j . saramago , and 1 / 6 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 150 workers in the palabras bookstore , how many of them have read both books ? \nOptions: a ) 13 , b ) 12 , c ) 9 , d ) 8 , e ) 7", "output": [ "b" ] }, { "id": "task1421-ae4afe7120d5413aa5738f4bf7740f3a", "input": "Problem: how many factors of 990 are odd numbers greater than 1 ? \nOptions: a ) 13 , b ) 14 , c ) 15 , d ) 16 , e ) 17", "output": [ "c" ] }, { "id": "task1421-d0282d2d67f74517893ad8a7a766a5f3", "input": "Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 7 : 9 , find the age of sachin \nOptions: a ) 24.58 , b ) 24.5 , c ) 24.3 , d ) 24.9 , e ) 24.1", "output": [ "b" ] }, { "id": "task1421-2d2e76e1b1544254b0256c060a93a089", "input": "Problem: the number of stamps that kaye and alberto had were in the ration of 5 : 3 respectively . after kaye gave alberto 15 of her stamps , the ration of the number of kaye had to the number of alberto had was 4 : 3 . as a result of the gift , kaye had how many more stamps than alberto ? \nOptions: a ) 20 , b ) 30 , c ) 70 , d ) 60 , e ) 90", "output": [ "c" ] }, { "id": "task1421-9a10d51cd28a409eb3eda3171dfc3d07", "input": "Problem: in a group of people , if 30 people were made to stand in each column , 16 columns could be formed . if 40 people were made to stand in a column , how many columns could be formed ? \nOptions: a ) 12 , b ) 14 , c ) 16 , d ) 18 , e ) 20", "output": [ "a" ] }, { "id": "task1421-ba8416c065404089b93c4086e996a1a5", "input": "Problem: in a college , the ratio of the number of boys to girls is 8 : 5 . if there are 160 girls , the total number of students in the college is \nOptions: a ) 2447 , b ) 377 , c ) 667 , d ) 416 , e ) 871", "output": [ "d" ] }, { "id": "task1421-1e5ccca7d91e48f0a504034efee15c2c", "input": "Problem: a man invests some money partly in 12 % stock at 132 and partly in 10 % stock at 80 . to obtain equal dividends from both , he must invest the money in the ratio : \nOptions: a ) 3 : 4 , b ) 3 : 5 , c ) 11 : 8 , d ) 16 : 15 , e ) none", "output": [ "c" ] }, { "id": "task1421-8325f7bf13b6484e9b24c21b648ca014", "input": "Problem: what is the prime factors ’ number of 36 ? \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6", "output": [ "c" ] }, { "id": "task1421-c2bb44fbf83046f8b7d71ea6276acec1", "input": "Problem: a study group consists of 4 english majors , 6 biological sciences majors , and 5 engineers . in how many ways can 3 english majors , 3 biological science majors and 3 engineers selected from the given group ? \nOptions: a ) 987 ways , b ) 346 ways , c ) 600 ways , d ) 200 ways , e ) 134 ways", "output": [ "d" ] }, { "id": "task1421-2cc2da8a3b964ad3bcb11e417e865f22", "input": "Problem: the probability of two events a and b are 0.25 and 0.40 respectively . the probability that both a and b occur is 0.20 . the probability that neither a nor b occur is _________ \nOptions: a ) 0.45 , b ) 0.4 , c ) 0.55 , d ) 0.05 , e ) 0.6", "output": [ "c" ] }, { "id": "task1421-e56f3c21386e473ab75f125014383d0a", "input": "Problem: the hcf of two numbers is 40 and the other two factors of their lcm are 11 and 12 . what is the largest number . \nOptions: a ) 462 , b ) 450 , c ) 488 , d ) 480 , e ) 555", "output": [ "d" ] }, { "id": "task1421-5950ec705470467c8d673af1633afd52", "input": "Problem: if there are 10 apples and 20 oranges , what is the ratio of apples to oranges ? \nOptions: a ) 10 : 20 , b ) 2 : 4 , c ) 1 : 2 , d ) 4 : 8 , e ) it can not be determined from the information given", "output": [ "c" ] }, { "id": "task1421-ec8af6134db84894ad65417dab5c6d2a", "input": "Problem: the ratio of the number of females to males at a party was 1 : 2 but when 4 females and 4 males left , the ratio became 1 : 3 . how many people were at the party originally ? \nOptions: a ) 20 , b ) 22 , c ) 24 , d ) 26 , e ) 28", "output": [ "c" ] }, { "id": "task1421-859ec56bc0cf4a9d95fa021f8003cfd1", "input": "Problem: a shipment of 230 smartphones contains 84 that are defective . if a customer buys two smartphones at random from the shipment , what is the approximate probability that both phones are defective ? \nOptions: a ) 1 / 250 , b ) 1 / 84 , c ) 1 / 11 , d ) 9 / 68 , e ) 1 / 3", "output": [ "d" ] }, { "id": "task1421-c80e6513fece48c6a637fbf5e370888f", "input": "Problem: income and expenditure of a person are in the ratio 5 : 4 . if the income of the person is rs . 16000 , then find his savings ? \nOptions: a ) 3600 , b ) 3607 , c ) 3200 , d ) 3602 , e ) 3603", "output": [ "c" ] }, { "id": "task1421-f0a1f723d0fb4a41889c165f3bb7c5c1", "input": "Problem: if 5 and 8 are factors of 60 n , what is the minimum value of n ? \nOptions: a ) 2 , b ) 3 , c ) 7 , d ) 14 , e ) 56", "output": [ "a" ] }, { "id": "task1421-79f6f2b2b3fb482d942f48ae0bb871b3", "input": "Problem: how many even integers from 1 to 50 ( both inclusive ) have even number of factors ? \nOptions: a ) 3 , b ) 14 , c ) 5 , d ) 6 , e ) 7", "output": [ "a" ] }, { "id": "task1421-8c23eaaf0da24a18a477bc81c53c8752", "input": "Problem: if 75 % of a boys answered the first question on a certain test correctly , 55 % answered the second question on the test correctly , and 20 % answered neither of the questions correctly , what % answered both correctly ? \nOptions: a ) 10 % , b ) ( 8 ) 20 % , c ) 50 % , d ) 60 % , e ) 65 %", "output": [ "c" ] }, { "id": "task1421-5069e1b3198f4623826cda40d8c1638e", "input": "Problem: sachin is younger than rahul by 4 years . if the ratio of their ages is 7 : 9 , find the age of sachin \nOptions: a ) 24.58 , b ) 24.5 , c ) 24.3 , d ) 24.9 , e ) 14", "output": [ "e" ] }, { "id": "task1421-3124ccb8a6c14ca781bcf3a7cfb07dbd", "input": "Problem: in a classroom , 12 students brought apples and 8 students brought bananas . if exactly 10 students brought only one of the two types of fruits , how many students brought both types of fruits ? \nOptions: a ) 5 , b ) 6 , c ) 7 , d ) 12 , e ) 14", "output": [ "a" ] }, { "id": "task1421-81388a7e69e043239945ca75a65afa48", "input": "Problem: a business finds that their ratio of spending to income is 5 to 9 . their total profit is $ 48000 . what is their total income ? \nOptions: a ) $ 90000 , b ) $ 108000 , c ) $ 119000 , d ) $ 126000 , e ) $ 140000", "output": [ "b" ] }, { "id": "task1421-7c0f8d139f514cc0881ee03270edfd88", "input": "Problem: a began business with rs . 45000 and was joined afterwards by b with rs . 36000 . when did b join if the profits at the end of the year were divided in the ratio of 2 : 1 ? \nOptions: a ) 1.5 , b ) 6 , c ) 7.5 , d ) 8.5 , e ) 2", "output": [ "c" ] }, { "id": "task1421-99e9d465142747828c5dccf93062601c", "input": "Problem: a small island country of 5000 people has an emigration and immigration statistic per 500 persons of 50.4 and 15.4 respectively . how long will it take for the population to be half of its current number . \nOptions: a ) 6.8 , b ) 8.5 , c ) 6.1 , d ) 9.1 , e ) 7.14", "output": [ "e" ] }, { "id": "task1421-9282b17f26a34fc6baef8f869c6a1e7d", "input": "Problem: 6 ) a marketing firm determined that , of 240 households surveyed , 80 used neither brand a nor brand b soap . 60 used only brand a soap and for every household that used both brands of soap , 3 used only brand b soap . how many of the 200 household surveyed used both brands of soap ? \nOptions: a ) a ) 15 , b ) b ) 20 , c ) c ) 25 , d ) d ) 40 , e ) e ) 45", "output": [ "c" ] }, { "id": "task1421-8b8e6b8464be4bec9733ef8f72a80e5d", "input": "Problem: a jar contains 20 red , 20 blue , 6 yellow and 4 pink balls . if two balls are to be selected at random and without replacement , approximately what is the probability both of them to be the same colour ? \nOptions: a ) 1 / 25 , b ) 1 / 15 , c ) 1 / 3 , d ) 1 / 2 , e ) 1", "output": [ "c" ] }, { "id": "task1421-8158db0e4f30465dbb37e2f429ff652f", "input": "Problem: of the people who responded to a market survey , 150 preferred brand x and the rest preferred brand y . if the respondents indicated a preference for brand x over brand y by ratio of 5 to 1 , how many people responded to the survey ? \nOptions: a ) 80 , b ) 180 , c ) 240 , d ) 360 , e ) 480", "output": [ "b" ] }, { "id": "task1421-a6c21c4366a34aec81670a06bfed38d9", "input": "Problem: of the 70 house in a development , 50 have a two - car garage , 40 have an in - the - ground swimming pool , and 35 have both a two - car garage and an in - the - ground swimming pool . how many houses in the development have neither a two - car garage nor an in - the - ground swimming pool ? \nOptions: a ) 10 , b ) 15 , c ) 20 , d ) 25 , e ) 30", "output": [ "b" ] }, { "id": "task1421-60b038d1cc8242918fce751ea75b95b7", "input": "Problem: in a certain large company , the ratio of college graduates with a graduate degree to non - college graduates is 1 : 8 , and ratio of college graduates without a graduate degree to non - college graduates is 2 : 3 . if one picks a random college graduate at this large company , what is the probability r this college graduate has a graduate degree ? \nOptions: a ) 1 / 11 , b ) 1 / 12 , c ) 1 / 13 , d ) 3 / 19 , e ) 3 / 43", "output": [ "d" ] }, { "id": "task1421-ac55d08cc92845ce8a3784fd2e070d7f", "input": "Problem: if m = 3 ^ n , what is the greatest value of n for which m is a factor of 22 ! \nOptions: a ) 8 , b ) 10 , c ) 9 , d ) 14 , e ) 16", "output": [ "c" ] }, { "id": "task1421-0672cad20b754a5f80121cd20e23fec7", "input": "Problem: at a certain organisation , the number of male members went up by 13 % in the year 2001 from year 2000 , and the number of females members went down by 6 % in the same time period . if the total membership at the organisation went up by 1.2 % from the year 2000 to 2001 , what was the ratio of male members to female members in the year 2000 ? \nOptions: a ) 1 : 2 , b ) 1 : 3 , c ) 2 : 3 , d ) 3 : 5 , e ) 2 : 1", "output": [ "d" ] }, { "id": "task1421-cb3a5f22969b476e8a8659f7e9e31e24", "input": "Problem: irin , ingrid and nell bake chocolate chip cookies in the ratio of 9.18 : 5.17 : 2.05 . if altogether they baked a batch of 170 cookies , what percent of the cookies did nell bake ? \nOptions: a ) 0.125 % , b ) 1.25 % , c ) 11.7 % , d ) 125 % , e ) 0.152 %", "output": [ "c" ] }, { "id": "task1421-a040e0752f0a470da4bdea7626eb017b", "input": "Problem: 3 years ago , the ratio of ages of p and q was 4 : 3 . 6 years from now , the ratio of their ages will be 7 : 6 . what is p ' s age at present ? \nOptions: a ) 9 , b ) 12 , c ) 15 , d ) 18 , e ) 21", "output": [ "c" ] }, { "id": "task1421-a8460407b85a494aaa765dbf3714f370", "input": "Problem: he ratio between the sale price and the cost price of an article is 3 : 1 . what is the ratio between the profit and the cost price of that article ? \nOptions: a ) 2 : 1 , b ) 2 : 9 , c ) 2 : 4 , d ) 2 : 1 , e ) 2 : 5", "output": [ "a" ] }, { "id": "task1421-1c658e6d85ac4f1e88ee4f0684000b2f", "input": "Problem: if log 1087.5 = 1.9421 , then the number of digits in ( 875 ) 10 is ? \nOptions: a ) 30 , b ) 28 , c ) 27 , d ) 26 , e ) 25", "output": [ "a" ] }, { "id": "task1421-7b74d800c68042f1a9cc094a9108c813", "input": "Problem: find the ratio in which rice at rs . 7.20 a kg be mixed with rice at rs . 5.60 a kg to produce a mixture worth rs . 6.30 a kg ? \nOptions: a ) 1 : 3 , b ) 2 : 3 , c ) 3 : 4 , d ) 7 : 9 , e ) none of these", "output": [ "d" ] }, { "id": "task1421-900526c7e9aa47488e20b13154134ec0", "input": "Problem: local kennel has cats and dogs in the ratio of 6 : 8 . if there are 10 fewer cats than dogs , how many dogs are in the kennel ? \nOptions: a ) 30 , b ) 35 , c ) 45 , d ) 50 , e ) 40", "output": [ "e" ] }, { "id": "task1421-c632ca1c0fd9422b88bb0e9395e6b0d3", "input": "Problem: there are 240 doctors and nurses at a hospital . if the ratio of doctors to nurses is 3 to 7 , how many nurses are at the hospital ? \nOptions: a ) 168 , b ) 172 , c ) 176 , d ) 180 , e ) 184", "output": [ "a" ] }, { "id": "task1421-ebab07594023412ebe328d16fe49e171", "input": "Problem: log 3 n + log 12 n what is 3 digit number n that will be whole number \nOptions: a ) 6291 , b ) 7292 , c ) 1728 , d ) 1929 , e ) 1727", "output": [ "c" ] }, { "id": "task1421-d61c70864bd641558e4a329d7d30b0c3", "input": "Problem: a certain quantity of 45 % solution is replaced with 25 % solution such that the new concentration is 35 % . what is the fraction of the solution that was replaced ? \nOptions: a ) 1 / 4 , b ) 1 / 3 , c ) 1 / 2 , d ) 2 / 3 , e ) 3 / 4", "output": [ "c" ] }, { "id": "task1421-1bd984fb6349421b8dcaa5dd60e1d037", "input": "Problem: the l . c . m . of two numbers is 48 . the numbers are in the ratio 2 : 3 . then sum of the number is : \nOptions: a ) 28 , b ) 32 , c ) 40 , d ) 53 , e ) 54", "output": [ "c" ] }, { "id": "task1421-fdd45ecf56544df7a1ba4a6023bfab97", "input": "Problem: in a sports club with 80 members , 48 play badminton and 46 play tennis and 7 do not play either . how many members play both badminton and tennis ? \nOptions: ['a ) 23', 'b ) 21', 'c ) 20', 'd ) 26', 'e ) 27']", "output": [ "b" ] }, { "id": "task1421-24d6bad0c4ea4abea6318230b1a760db", "input": "Problem: a student committee on academic integrity has 90 ways to select a president and vice president from a group of candidates . the same person can not be both president and vice president . how many candidates are there ? \nOptions: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11", "output": [ "d" ] }, { "id": "task1421-7a6b914b82424b4d9ed6d8fb8e5659d6", "input": "Problem: a salesman sold twice as much pears in the afternoon than in the morning . if he sold $ 420 kilograms of pears that day , how many kilograms did he sell in the afternoon ? \nOptions: a ) 120 , b ) 180 , c ) 240 , d ) 280 , e ) 320", "output": [ "d" ] }, { "id": "task1421-0a4b86e70ff8402c9745ef328ea529f6", "input": "Problem: on a certain farm the ratio of horses to cows is 4 : 1 . if the farm were to sell 15 horses and buy 15 cows , the ratio of horses to cows would then be 13 : 7 . after the transaction , how many more horses than cows would the farm own ? \nOptions: a ) 30 , b ) 60 , c ) 75 , d ) 90 , e ) 105", "output": [ "a" ] }, { "id": "task1421-b5ef6ffb15b54766a52aaba849d886f0", "input": "Problem: 0.6 of a number is equal to 0.08 of another number . the ratio of the numbers will be \nOptions: a ) 3 : 4 , b ) 4 : 3 , c ) 2 : 15 , d ) 2 : 9 , e ) 3 : 8", "output": [ "c" ] }, { "id": "task1421-3a522e6c5faa45fab987be2f47524178", "input": "Problem: how many of the positive factors of 42 , 104 and how many common factors are there in numbers ? \nOptions: a ) 4 , b ) 2 , c ) 3 , d ) 5 , e ) 1", "output": [ "b" ] }, { "id": "task1421-06bf1f07fc3549f991f4421a9739f3ce", "input": "Problem: find the compound ratio of ( 2 : 3 ) , ( 6 : 11 ) and ( 11 : 2 ) is \nOptions: a ) 3 : 2 , b ) 2 : 1 , c ) 1 : 2 , d ) 4 : 5 , e ) 2 : 3", "output": [ "b" ] }, { "id": "task1421-5410b2e85ad54be48a2f3846c4e52a1a", "input": "Problem: the cost of 3 pens and 5 pencils is rs . 200 . also the cost of one pen and one pencil is in the ratio of 5 : 1 respectively . what is the cost of one dozen pens ? \nOptions: a ) rs . 200 , b ) rs . 250 , c ) rs . 300 , d ) rs . 150 , e ) rs . 600", "output": [ "e" ] }, { "id": "task1421-8cbded988aaa4173984e6a8791d2e3f0", "input": "Problem: there 3 kinds of books in the library physics , chemistry and biology . ratio of physics to chemistry is 3 to 2 ; ratio of chemistry to biology is 4 to 3 , and the total of the books is more than 3000 . which one of following can be the total t of the book ? \nOptions: a ) 3003 , b ) 3027 , c ) 3024 , d ) 3021 , e ) 3018", "output": [ "a" ] }, { "id": "task1421-22091517ec784229b38cd62c9acfacfa", "input": "Problem: a bag contains 6 green balls and 8 white balls . if two balls are drawn simultaneously , what is the probability that both balls are the same colour ? \nOptions: a ) 5 / 14 , b ) 8 / 21 , c ) 12 / 21 , d ) 43 / 91 , e ) 47 / 91", "output": [ "d" ] }, { "id": "task1421-64cb3ba5227f47199914c46e75cd2d48", "input": "Problem: of the 200 stamps in a collection , 80 are foreign and 50 are more than 10 years old . if 20 stamps are both foreign and more than 10 years old , how many stamps are neither foreign nor more than 10 years old ? \nOptions: a ) 60 , b ) 90 , c ) 100 , d ) 130 , e ) 150", "output": [ "b" ] }, { "id": "task1421-a958a7150f1e4349864b27e6d57d2987", "input": "Problem: what is the square root of 400 , divided by 2 ? \nOptions: a ) 9 , b ) 36 , c ) 122 , d ) 6 , e ) 10", "output": [ "e" ] }, { "id": "task1421-004eb6edb5ff44428e6f0fa53c5b8698", "input": "Problem: the marks obtained by polly and sandy are in the ratio 5 : 6 and those obtained by sandy and willy are in the ratio of 9 : 7 . the marks obtained by polly and willy are in the ratio of . . . ? \nOptions: a ) 9 : 8 , b ) 11 : 10 , c ) 13 : 12 , d ) 15 : 14 , e ) 17 : 16", "output": [ "d" ] }, { "id": "task1421-6cd4ff5f2645454188712f876c714dbe", "input": "Problem: find the ratio in which rice at rs . 7.10 a kg be mixed with rice at rs . 5.70 a kg to produce a mixture worth rs . 6.30 a kg \nOptions: a ) 2 : 0 , b ) 3 : 4 , c ) 2 : 1 , d ) 2 : 2 , e ) 2 : 8", "output": [ "b" ] }, { "id": "task1421-258d73aeed8a45fa8d1fdad2dd222d32", "input": "Problem: what is the square root of 36 , divided by 6 ? \nOptions: a ) 9 , b ) 36 , c ) 122 , d ) 6 , e ) 1", "output": [ "e" ] }, { "id": "task1421-0acc599012944a618a2616e8e5c5bf4d", "input": "Problem: the number of stamps that p and q had were in the ratio of 7 : 4 respectively . after p gave q 8 stamps , the ratio of the number of p ' s stamps to the number of q ' s stamps was 6 : 5 . as a result of the gift , p had how many more stamps than q ? \nOptions: a ) 4 , b ) 8 , c ) 12 , d ) 16 , e ) 20", "output": [ "b" ] }, { "id": "task1421-56e42ac5ff6d411688bcea0908a36276", "input": "Problem: set a consists of the integers from 4 to 16 , inclusive , while set b consists of the integers from 6 to 20 , inclusive . how many distinct integers do belong to the both sets at the same time ? \nOptions: a ) 5 , b ) 7 , c ) 8 , d ) 9 , e ) 11", "output": [ "e" ] }, { "id": "task1421-136a9c408c964c5ab56296f0dc4c623d", "input": "Problem: tea worth rs . 126 per kg are mixed with a third variety in the ratio 1 : 1 : 2 . if the mixture is worth rs . 153 per kg , the price of the third variety per kg will be ? \nOptions: a ) 122.50 per kg , b ) 266.50 per kg , c ) 175.50 per kg , d ) 172.50 per kg , e ) 176.50 per kg", "output": [ "c" ] }, { "id": "task1421-9352016c36164324a8a1fe39027d2ba2", "input": "Problem: how many numbers up to 300 and 700 are divisible by 2 , 3 and 7 both together ? \nOptions: a ) 9 , b ) 10 , c ) 11 , d ) 12 , e ) 13", "output": [ "a" ] }, { "id": "task1421-8729e04ffdc844659e8c10c04ebd5bff", "input": "Problem: how many positive integers less than 30 have no common prime factor with 30 ? \nOptions: a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 9", "output": [ "d" ] }, { "id": "task1421-6b26cc9351c8494ca16b42e64814bcb4", "input": "Problem: sachin is younger than rahul by 5 years . if the ratio of their ages is 7 : 9 , find the age of sachin \nOptions: a ) 24.58 , b ) 24.5 , c ) 24.3 , d ) 24.9 , e ) 15.5", "output": [ "e" ] }, { "id": "task1421-0bf636c7ffd84953b9cbc6b2f3f8bfb5", "input": "Problem: if w is the set of all the integers between 69 and 99 , inclusive , that are either multiples of 3 or multiples of 2 or multiples of both , then w contains how many numbers ? \nOptions: a ) 20 , b ) 32 , c ) 33 , d ) 34 , e ) 35", "output": [ "a" ] }, { "id": "task1421-821db41bcacc4d4991766f9426f49642", "input": "Problem: the ratio of incomes of two person p 1 and p 2 is 5 : 4 and the ratio of their expenditures is 3 : 2 . if at the end of the year , each saves rs . 1800 , then what is the income of p 1 ? \nOptions: a ) s . 800 , b ) s . 2400 , c ) s . 4000 , d ) s . 3200 , e ) s . 4500", "output": [ "e" ] }, { "id": "task1421-af4c0c9e7fa14025a9bf93af9948e60d", "input": "Problem: a bag contains 7 green balls and 7 white balls . if two balls are drawn simultaneously , what is the probability that both balls are the same colour ? \nOptions: a ) 4 / 13 , b ) 6 / 13 , c ) 8 / 21 , d ) 11 / 21 , e ) 17 / 42", "output": [ "b" ] }, { "id": "task1421-5f094c634d58490a83cd0ba331af156d", "input": "Problem: of the 200 stamps in a collection , 90 are foreign and 50 are more than 10 years old . if 20 stamps are both foreign and more than 10 years old , how many stamps are neither foreign nor more than 10 years old ? \nOptions: a ) 30 , b ) 80 , c ) 100 , d ) 130 , e ) 150", "output": [ "b" ] }, { "id": "task1421-d20214b7c25d46279def9283f91d80a4", "input": "Problem: a certain bag contains 60 balls — 22 white , 18 green , 17 yellow , 3 red , and 1 purple . if a ball is to be chosen at random , what is the probability that the ball will be neither red nor purple ? \nOptions: a ) 0.09 , b ) 0.15 , c ) 0.54 , d ) 0.85 , e ) 0.95", "output": [ "e" ] }, { "id": "task1421-7b54ea79a8af4d18a4ddb44056acb06b", "input": "Problem: a certain high school has 500 students . of these students , 50 are taking music , 20 are taking art , and 10 are taking both music and art . how many students are taking neither music nor art ? \nOptions: a ) 430 , b ) 440 , c ) 450 , d ) 460 , e ) 470", "output": [ "b" ] }, { "id": "task1421-a91eac8bb5514e6abd3e434b75b14ca8", "input": "Problem: a certain company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales were up 7 percent from 1996 . if total revenues from car sales and truck sales in 1997 were up 1 percent from 1996 , what is the ratio t of revenue from car sales in 1996 to revenue from truck sales in 1996 ? \nOptions: a ) 1 : 2 , b ) 4 : 5 , c ) 1 : 1 , d ) 3 : 2 , e ) 5 : 3", "output": [ "a" ] }, { "id": "task1421-78f499434c9242479a4c7980a18b7cb1", "input": "Problem: a dog breeder currently has 9 breeding dogs . 6 of the dogs have exactly 1 littermate , and 3 of the dogs have exactly 2 littermates . if 2 dogs are selected at random , what is the probability r that both selected dogs are not littermates ? \nOptions: a ) 1 / 6 , b ) 2 / 9 , c ) 5 / 6 , d ) 7 / 9 , e ) 8 / 9", "output": [ "c" ] }, { "id": "task1421-05e89e2cc5874c81a1447e6a16c22300", "input": "Problem: 9 log 9 ( 6 ) = ? \nOptions: a ) 1 , b ) 6 , c ) 3 , d ) 4 , e ) 5", "output": [ "b" ] }, { "id": "task1421-1ba25c88edd04a7592478766061fdb24", "input": "Problem: the probability that event a occurs is 0.4 , and the probability that events a and b both occur is 0.25 . if the probability that either event a or event b occurs is 0.6 , what is the probability that event b will occur ? \nOptions: a ) 0.05 , b ) 0.15 , c ) 0.45 , d ) 0.5 , e ) 0.55", "output": [ "c" ] }, { "id": "task1421-aac393bfc23e400481b4e0e1391b825d", "input": "Problem: a man invests some money partly in 10 % stock at 90 and partly in 5 % stock at 90 . to obtain equal dividends from both , he must invest the money in the ratio : \nOptions: a ) 1 : 2 , b ) 3 : 5 , c ) 4 : 5 , d ) 16 : 15 , e ) none", "output": [ "a" ] }, { "id": "task1421-3544836b37fe4f589c127e1b4c953947", "input": "Problem: if w is the set of all the integers between 59 and 99 , inclusive , that are either multiples of 3 or multiples of 2 or multiples of both , then w contains how many numbers ? \nOptions: a ) 27 , b ) 32 , c ) 33 , d ) 34 , e ) 35", "output": [ "a" ] }, { "id": "task1421-7b4e4c42dfc843839c505ee016a47865", "input": "Problem: how many factors does 35 ^ 2 have ? \nOptions: a ) 2 , b ) 8 , c ) 24 , d ) 25 , e ) 26", "output": [ "c" ] }, { "id": "task1421-7e25324513d9422abe438e08f0d658d2", "input": "Problem: the h . c . f . of two numbers is 23 and the other two factors of their l . c . m . are 10 and 11 . the larger of the two numbers is : \nOptions: a ) 276 , b ) 253 , c ) 322 , d ) 345 , e ) 395", "output": [ "b" ] }, { "id": "task1421-0a9aab2871e94775ba6df91f37561a2f", "input": "Problem: there are 760 students in a school . the ratio of boys and girls in this school is 3 : 5 . find the total of girls & boys are there in this school ? \nOptions: a ) 320 , b ) 345 , c ) 425 , d ) 475 , e ) 400", "output": [ "d" ] }, { "id": "task1421-7b1ce3b7e36c4b19b61c60abbd6e34e7", "input": "Problem: if the ratio of the sum of the first 6 terms of a g . p . to the sum of the first 3 terms of the g . p . is 126 , what is the common ratio of the g . p ? \nOptions: a ) 3 , b ) 1 / 3 , c ) 2 , d ) 5 , e ) 1 / 5", "output": [ "d" ] }, { "id": "task1421-422fefdb18c64363b4368370fb31f052", "input": "Problem: he ratio between the sale price and the cost price of an article is 5 : 1 . what is the ratio between the profit and the cost price of that article ? \nOptions: a ) 2 : 6 , b ) 2 : 9 , c ) 2 : 4 , d ) 2 : 1 , e ) 2 : 5", "output": [ "d" ] }, { "id": "task1421-85e972fb3dcc47528124661719520cbc", "input": "Problem: how many of the positive factors of 16 are not factors of 20 \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 1 , e ) 5", "output": [ "a" ] }, { "id": "task1421-06e45c42500f40658edc03a100daf963", "input": "Problem: profits in the partnership of bess , bill and bob are shared in the ratio 1 : 2 : 3 . if bill ' s share of the profits is $ 300 , what is bob ' s share ? \nOptions: a ) $ 150 , b ) $ 900 , c ) $ 600 , d ) $ 450 , e ) none", "output": [ "b" ] }, { "id": "task1421-47e5656d0dad4102add2641acedfd6d4", "input": "Problem: if 4 and 8 are factors of 60 n , what is the minimum value of n ? \nOptions: a ) 2 , b ) 3 , c ) 8 , d ) 14 , e ) 56", "output": [ "c" ] }, { "id": "task1421-ebd89f7cf4a847098b9eb5cb9058eb13", "input": "Problem: the simple form of the ratio 4 / 3 : 2 / 5 is ? \nOptions: a ) 10 : 6 , b ) 10 : 3 , c ) 15 : 3 , d ) 25 : 3 , e ) 30 : 3", "output": [ "b" ] }, { "id": "task1421-bfc971f8a4d54a54a75f8dd0962597e0", "input": "Problem: in a family 15 people eat only vegetarian , 8 people eat only non veg . , 11 people eat both veg and non veg . . how many people eat veg in the family ? \nOptions: a ) 20 , b ) 11 , c ) 23 , d ) 26 , e ) 21", "output": [ "d" ] }, { "id": "task1421-fbe6db6c36a846a383e0e388ce9b692e", "input": "Problem: sachin is younger than rahul by 8 years . if the ratio of their ages is 7 : 9 , find the age of sachin \nOptions: a ) 24.58 , b ) 24.5 , c ) 26 , d ) 27 , e ) 28", "output": [ "e" ] }, { "id": "task1421-3a67e56c98ec47d2a42b7e7cca0cfd8e", "input": "Problem: 30 liters of a mixture contains milk and water in the ratio 2 : 1 . if 5 liters of this mixture be replaced by 5 liters of milk , the ratio of milk to water in the new mixture would be ? \nOptions: a ) 3 : 2 , b ) 3 : 1 , c ) 4 : 1 , d ) 5 : 2 , e ) 2 : 1", "output": [ "d" ] }, { "id": "task1421-8265829ada074ba5a21e5101e8a2a30f", "input": "Problem: how many of the positive factors of 15 , 45 and how many common factors are there in numbers ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "c" ] }, { "id": "task1421-8f90c952ce764568b98c17408a3084c0", "input": "Problem: what is the prime factors ’ number of 48 ? \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6", "output": [ "d" ] }, { "id": "task1421-5273e61124d74b72945069f57d532308", "input": "Problem: the ratio of two cow a , b milk is 5 : 3.3 kg milk of cow a get distributed and 1 kg milk of cow b get distributed . now , 8 kg milk of cow b left . now what is the ratio of cow a and b left milk ? \nOptions: a ) 3 : 2 , b ) 4 : 3 , c ) 5 : 4 , d ) 6 : 5 , e ) 5 : 3", "output": [ "a" ] }, { "id": "task1421-92290b0a62054e09b4030df3daa48a33", "input": "Problem: at a certain restaurant , the ratio of the number of cooks to the number of waiters is 3 to 8 . when 12 more waiters are hired , the ratio of the number of cooks to the number of waiters changes to 1 to 4 . how many cooks does the restaurant have ? \nOptions: a ) 4 , b ) 6 , c ) 9 , d ) 12 , e ) 15", "output": [ "c" ] }, { "id": "task1421-51088715e8484c519601c63558e229fa", "input": "Problem: what is the units digit of 28 ! + 50 ! + 3 ! + 4 ! ? \nOptions: a ) 0 , b ) 2 , c ) 4 , d ) 6 , e ) 8", "output": [ "a" ] }, { "id": "task1421-7024f60fa1fa48e98569e3ed36af5238", "input": "Problem: what is the units digit of 26 ! + 50 ! + 4 ! + 4 ! ? \nOptions: a ) 8 , b ) 6 , c ) 4 , d ) 2 , e ) 0", "output": [ "a" ] }, { "id": "task1421-01ab779593b04261bf3598779611f2ba", "input": "Problem: the fisherman sale , all of the prices of the fishes sold were different . if the price of a radio sold at the fisherman sale was both the 4 th highest price and the 13 th lowest price among the prices of the fishes sold , how many fishes were sold at the fisherman sale ? \nOptions: a ) 13 , b ) 14 , c ) 15 , d ) 41 , e ) 16", "output": [ "e" ] }, { "id": "task1421-cf786ffd489e44f685a2f591d322ff9b", "input": "Problem: how many two digit prime numbers are there in which both digits are prime numbers ? ( for example , 23 is one of these numbers but 31 is not , since 1 is not a prime number . ) \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 8 , e ) 15", "output": [ "b" ] }, { "id": "task1421-294a6515f91b44a2b773ef70048cceb8", "input": "Problem: in what ratio must rice of rs . 54 per kg be mixed with rice of rs . 35 per kg so that cost of mixture is rs . 42 per kg ? \nOptions: a ) 9 : 7 , b ) 7 : 12 , c ) 12 : 7 , d ) 5 : 6 , e ) 7 : 9", "output": [ "b" ] }, { "id": "task1421-c8b4517433244112822d91f592aa9be8", "input": "Problem: ratio between rahul and deepak is 4 : 3 , after 6 years rahul age will be 26 years . what is deepak present age \nOptions: a ) 14 , b ) 15 , c ) 20 , d ) 22 , e ) 23", "output": [ "b" ] }, { "id": "task1421-7f07426766f249db933a2f5d393d4dbd", "input": "Problem: water consists of hydrogen and oxygen , and the approximate ratio , by mass , of hydrogen to oxygen is 2 : 16 . approximately how many grams of oxygen are there in 117 grams of water ? \nOptions: a ) 100 , b ) 102 , c ) 104 , d ) 106 , e ) 108", "output": [ "c" ] }, { "id": "task1421-ab0e55a824134ab0ac8aaac31a014a73", "input": "Problem: in the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30 . in the sport formulation , the ratio of flavoring to corn syrup is three times as great as in the standard formulation , and the ratio of flavoring to water is half that of the standard formulation . if a large bottle of thesportformulation contains 5 ounces of corn syrup , how many ounces of water does it contain ? \nOptions: ['a ) 15', 'b ) 30', 'c ) 45', 'd ) 75', 'e ) 90']", "output": [ "d" ] }, { "id": "task1421-0725251f4925473dba5ff1b6250c3189", "input": "Problem: from a container having pure milk , 10 % is replaced by water and the process is repeated twice . at the end of the second operation , the milk is ? \nOptions: a ) 50 % , b ) 60 % , c ) 55 % , d ) 75 % , e ) 81 %", "output": [ "e" ] }, { "id": "task1421-bfae3dbb931443bfb6deff041f769298", "input": "Problem: the h . c . f . of two numbers is 18 and the other two factors of their l . c . m . are 11 and 15 . the larger of the two numbers is : \nOptions: a ) 270 , b ) 300 , c ) 299 , d ) 322 , e ) 345", "output": [ "a" ] }, { "id": "task1421-0ea9e043768e4b61bc2c8a405ad0d2c9", "input": "Problem: 300 liters of a mixture contains milk and water in the ratio 3 : 2 if 15 liters of this mixture be replaced by 15 liters of milk , the ratio of milk to water in the new mixture would be ? \nOptions: a ) 12 : 8 , b ) 12 : 4 , c ) 13 : 8 , d ) 14 : 5 , e ) 13 : 5", "output": [ "c" ] }, { "id": "task1421-ade29c5a09b24fb183ac38149ce63520", "input": "Problem: what is the number of integers from 1 to 1000 ( inclusive ) that are divisible by neither 11 nor by 35 ? \nOptions: a ) 884 , b ) 890 , c ) 892 , d ) 910 , e ) 945", "output": [ "a" ] }, { "id": "task1421-05d669444449403f9f600538b360173e", "input": "Problem: a firm is comprised of partners and associates in a ratio of 2 : 63 . if 35 more associates were hired , the ratio of partners to associates would be 1 : 34 . how many partners are currently in the firm ? \nOptions: a ) 12 , b ) 14 , c ) 16 , d ) 18 , e ) 20", "output": [ "b" ] }, { "id": "task1421-c2cbfe26e3f44557b9bdeb63d4a5ab18", "input": "Problem: 180 college students were asked in a survey if they preferred windows or mac brand computers . 50 students claimed that they preferred mac to windows brand computers . one third as many of the students who preferred mac to windows , equally preferred both brands . 60 of the students had no preference . how many of the students in the survey preferred windows to mac brand computers ? \nOptions: a ) 25 , b ) 70 , c ) 50 , d ) 60 , e ) 75", "output": [ "b" ] }, { "id": "task1421-401bab15479b48d6a7072f240d660d11", "input": "Problem: two vessels a and b contain spirit and water in the ratio 5 : 2 and 7 : 6 respectively . find the ratio in which these mixture be mixed to obtain a new mixture in vessel c containing spirit and water in the ration 8 : 5 ? \nOptions: a ) 4 : 3 , b ) 3 : 4 , c ) 5 : 6 , d ) 7 : 9 , e ) none", "output": [ "d" ] }, { "id": "task1421-4f7dcdcf71844739869309a5e8932d9e", "input": "Problem: what number has a 1 : 20 ratio to the number 10 ? \nOptions: a ) 10 , b ) 1 / 2 , c ) 2 , d ) 1 / 4 , e ) 20", "output": [ "b" ] }, { "id": "task1421-a35dc64cf59248d5a1224ff3ba2404fe", "input": "Problem: the ratio of incomes of two person p 1 and p 2 is 5 : 4 and the ratio of their expenditures is 3 : 2 . if at the end of the year , each saves rs . 2000 , then what is the income of p 1 ? \nOptions: a ) s . 5000 , b ) s . 2400 , c ) s . 4000 , d ) s . 3200 , e ) s . 4200", "output": [ "a" ] }, { "id": "task1421-6c1bdd20f43140799d30a25154215f65", "input": "Problem: how many prime numbers between 1 and 100 are factors of 1771 ? \nOptions: a ) 2 , b ) 6 , c ) 5 , d ) 4 , e ) 3", "output": [ "e" ] }, { "id": "task1421-01b0951f68324d2eaa9b5aa0419a9ffa", "input": "Problem: the hcf of two numbers is 42 and the other two factors of their lcm are 10 and 20 . what is the largest number . \nOptions: a ) 462 , b ) 450 , c ) 840 , d ) 504 , e ) 555", "output": [ "c" ] }, { "id": "task1421-1e0f979ebba540f09e7f2ceaf330b4d9", "input": "Problem: 100 liters of a mixture contains milk and water in the ratio 4 : 1 . if 10 liters of this mixture be replaced by 10 liters of milk , the ratio of milk to water in the new mixture would be ? \nOptions: a ) 7 : 5 , b ) 9 : 2 , c ) 6 : 1 , d ) 5 : 4 , e ) 11 : 4", "output": [ "b" ] }, { "id": "task1421-b8808291b1244c13828b1effab76f776", "input": "Problem: there are 76 lights which are functional and each is controlled by a separate on / off switch . two children a and b start playing with the switches . a starts by pressing every third switch till he reaches the end . b , 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 ) 28 , b ) 30 , c ) 32 , d ) 34 , e ) 36", "output": [ "a" ] }, { "id": "task1421-677fd5388e8440f1bab02805e63292bf", "input": "Problem: a bag holds 2 red marbles and 3 green marbles . if you removed two randomly selected marbles from the bag , without replacement , what is the probability that both would be red ? \nOptions: a ) 1 / 10 , b ) 1 / 5 , c ) 3 / 10 , d ) 2 / 5 , e ) 1 / 2", "output": [ "a" ] }, { "id": "task1421-8b8577dddef4487bb8f542dd53a9b496", "input": "Problem: find the fraction which has the same ratio to 2 / 5 that 3 / 8 has to 1 / 5 \nOptions: a ) 1 / 15 , b ) 3 / 4 , c ) 5 / 8 , d ) 9 / 6 , e ) 8 / 7", "output": [ "b" ] }, { "id": "task1421-d037da4c479548daba46d8902cad5a9d", "input": "Problem: sara bought both german chocolate and swiss chocolate for some cakes she was baking . the swiss chocolate cost $ 2.5 per pound , and german chocolate cost $ 1.5 per pound . if the total the she spent on chocolate was $ 15 and both types of chocolate were purchased in whole number of pounds , how many total pounds of chocolate she purchased ? \nOptions: a ) 9 , b ) 8 , c ) 10 , d ) 12 , e ) 15", "output": [ "b" ] }, { "id": "task1421-b70fc9ab7d00472db842e4194e005055", "input": "Problem: in a class of 60 students , 20 did not opt for math . 15 did not opt for science and 5 did not opt for either . how many students of the class opted for both math and science ? \nOptions: a ) 23 , b ) 25 , c ) 27 , d ) 30 , e ) 48", "output": [ "d" ] }, { "id": "task1421-e794a4af7089475cb29d29a2fbaad350", "input": "Problem: each factor of 240 is inscribed on its own plastic ball , and all of the balls are placed in a jar . if a ball is randomly selected from the jar , what is the probability that the ball is inscribed with a multiple of 15 ? \nOptions: a ) 1 / 16 , b ) 5 / 42 , c ) 1 / 8 , d ) 3 / 16 , e ) 1 / 4", "output": [ "e" ] }, { "id": "task1421-c0511e083a7043c6b23a6c0923217f63", "input": "Problem: a certain university will select 1 of 7 candidates eligible to fill a position in the mathematics department and 2 of 7 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ? \nOptions: a ) 42 , b ) 70 , c ) 147 , d ) 165 , e ) 315", "output": [ "c" ] }, { "id": "task1421-bf99de4dec824012875fa328b5621d44", "input": "Problem: the ratio between the number of sheep and the number of horses at the stewart farm is 3 to 7 , if each horse is fed 230 ounces of horse food per day and the farm needs a total 12,880 ounces of horse food per day , what is the number of sheep in the farm ? \nOptions: a ) 24 , b ) 28 , c ) 32 , d ) 56 , e ) 60", "output": [ "a" ] }, { "id": "task1421-027004e6ca314aff9c6d3b066a6f6ddf", "input": "Problem: kul is 22 years old and saras is 33 years . find the ratio of saras ' s age to kul ' s age . \nOptions: a ) 3 / 1 , b ) 3 / 2 , c ) 5 / 2 , d ) 5 / 3 , e ) none of these", "output": [ "b" ] }, { "id": "task1421-743a5f825f364c79a02359e0b314c5ce", "input": "Problem: what is the square root of 324 ? \nOptions: a ) a ) 18 , b ) b ) 9 , c ) c ) 45 , d ) d ) 62 , e ) e ) 81", "output": [ "a" ] }, { "id": "task1421-fff9ed3edd064ff6826252c7848f2e97", "input": "Problem: the compound ratio of 5 : 1 , 3 : 1 and 2 : 5 ? \nOptions: a ) 6 : 1 , b ) 1 : 3 , c ) 1 : 5 , d ) 1 : 1 , e ) 1 : 6", "output": [ "a" ] }, { "id": "task1421-806581115aa04e5597a10d83a2a25529", "input": "Problem: the marks obtained by polly and sandy are in the ratio 3 : 5 and those obtained by sandy and willy are in the ratio of 3 : 2 . the marks obtained by polly and willy are in the ratio of . . . ? \nOptions: a ) 3 : 4 , b ) 5 : 6 , c ) 7 : 8 , d ) 9 : 10 , e ) 11 : 12", "output": [ "d" ] }, { "id": "task1421-4c4109d89d384e2fa6c38822b6845f37", "input": "Problem: a group of people participate in some curriculum , 35 of them practice yoga , 20 study cooking , 15 study weaving , 7 of them study cooking only , 5 of them study both the cooking and yoga , 3 of them participate all curriculums . how many people study both cooking and weaving ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "e" ] }, { "id": "task1421-7fee90e52f2347cfa361b318e16b5e54", "input": "Problem: a garrison of 400 men had a provision for 31 days . after 28 days 300 persons re - enforcement leave the garrison . find the number of days for which the remaining ration will be sufficient ? \nOptions: a ) 65 days , b ) 45 days , c ) 10 days , d ) 16 days , e ) 12 days", "output": [ "e" ] }, { "id": "task1421-e20c9be80d1146e8b8b5193031f6506b", "input": "Problem: there are 8 executives , including the ceo and cfo , that are asked to form a small team of 5 members . however , the ceo and cfo may not both be assigned to the team . given this constraint , how many ways are there to form the team ? \nOptions: a ) 34 , b ) 35 , c ) 36 , d ) 37 , e ) 38", "output": [ "c" ] }, { "id": "task1421-544afaf1a2ce40dab1686875650e167f", "input": "Problem: the probability of two events a and b are 0.25 and 0.30 respectively . the probability that both a and b occur is 0.15 . the probability that neither a nor b occur is _________ \nOptions: a ) 0.45 , b ) 0.4 , c ) 0.5 , d ) 0.05 , e ) 0.6", "output": [ "e" ] }, { "id": "task1421-7e3fdc345f314cd084f128bd67c94fa9", "input": "Problem: 24 oz of juice p and 25 oz of juice q are mixed to make smothies x and y . the ratio of p to q in smothie x is 4 is to 1 and that in y is 1 is to 5 . how many ounces of juice p are contained in the smothie x ? \nOptions: a ) 5 , b ) 10 , c ) 15 , d ) 20 , e ) 25", "output": [ "d" ] }, { "id": "task1421-17532de309a8490cb349d8ecabcbf4c6", "input": "Problem: in what ratio must a grocer mix two varieties of pulses costing rs . 15 and rs . 20 per kg respectively so as to get a mixture worth rs . 16.50 per kg ? \nOptions: a ) 3 : 7 , b ) 5 : 7 , c ) 7 : 3 , d ) 7 : 5 , e ) none", "output": [ "c" ] }, { "id": "task1421-0c161fd72f454cc3b93e4058651e245e", "input": "Problem: the length of the ribbon was originally 55 cm . it was reduced in the ratio 11 : 7 . what is its length now ? \nOptions: a ) 6 cm , b ) 12 cm , c ) 35 cm , d ) 44 cm , e ) none of these", "output": [ "c" ] }, { "id": "task1421-2033a82ddc584b039fcfb0e5dbcc4320", "input": "Problem: how many different positive integers are factors of 25 ? \nOptions: a ) 1 , b ) 5 , c ) 4 , d ) 6 , e ) 8", "output": [ "a" ] }, { "id": "task1421-8a6e738f27bc4797a6bc08e7756c9b5d", "input": "Problem: in a class of 70 students , 10 did not opt for math . 5 did not opt for science and 3 did not opt for either . how many students of the class opted for both math and science ? \nOptions: a ) 23 , b ) 25 , c ) 27 , d ) 37 , e ) 38", "output": [ "e" ] }, { "id": "task1421-13f982ef18d64214a38e4143c8b860ab", "input": "Problem: how many odd factors does 250 have ? \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 8", "output": [ "b" ] }, { "id": "task1421-99e6dc12744c45a19f91da04e12faba4", "input": "Problem: what is the number of integers from 1 to 900 ( inclusive ) that are divisible by neither 11 nor by 35 ? \nOptions: a ) 884 , b ) 890 , c ) 892 , d ) 910 , e ) 945", "output": [ "c" ] }, { "id": "task1421-16e9074bd17c4b26b876764e0daaa1c5", "input": "Problem: in what ratio mental a at rs . 68 per kg be mixed with another metal at rs . 96 per kg so that cost of alloy ( mixture ) is rs . 72 per kg ? \nOptions: a ) 6 : 1 , b ) 4 : 7 , c ) 3 : 7 , d ) 9 : 5 , e ) 9 : 8", "output": [ "a" ] }, { "id": "task1421-bced74c754b54197ae2318645d5c46ef", "input": "Problem: there 3 kinds of books in the library physics , chemistry and biology . ratio of physics to chemistry is 3 to 2 ; ratio of chemistry to biology is 4 to 3 , and the total of the books is more than 3000 . which one of following can be the total e of the book ? \nOptions: a ) 3003 , b ) 3027 , c ) 3024 , d ) 3021 , e ) 3018", "output": [ "a" ] }, { "id": "task1421-bb19ab98fb4941cf95110f7c56eeb145", "input": "Problem: teas worth rs . 126 per kg and rs . 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2 . if the mixture is worth rs 156 per kg , the price of the third variety per kg will be ? \nOptions: a ) rs . 147.50 , b ) rs . 785.50 , c ) rs . 178.50 , d ) rs . 258.50 , e ) none of these", "output": [ "c" ] }, { "id": "task1421-9dc1801e4d8447a0a63b383ec4d4a98d", "input": "Problem: if log 2 = 0.3010 and log 3 = 0.4771 , the value of log 5 ( 512 ) \nOptions: a ) 3.876 , b ) 2.967 , c ) 2.87 , d ) 3.912 , e ) 1.9", "output": [ "a" ] }, { "id": "task1421-8f454403975046a8984939870705f073", "input": "Problem: if both 5 ^ 2 and 3 ^ 3 are factors of n x ( 2 ^ 5 ) x ( 12 ^ 2 ) x ( 7 ^ 3 ) , what is the smallest possible positive value of n ? \nOptions: a ) 25 , b ) 75 , c ) 125 , d ) 150 , e ) 175", "output": [ "b" ] }, { "id": "task1421-fc13ca1a87cd409a8f38ed2a0f430a37", "input": "Problem: in a class of 32 students , 12 enrolled for both english and german . 22 enrolled for german . if the students of the class enrolled for at least one of the two subjects , then how many students enrolled for only english and not german ? \nOptions: a ) 30 , b ) 10 , c ) 18 , d ) 28 , e ) 32", "output": [ "b" ] }, { "id": "task1421-d1d180b2770a4df984339c6c610c3310", "input": "Problem: a certain car dealership sells economy cars , luxury cars , and sport utility vehicles . the ratio of economy to luxury cars is 6 : 2 . the ratio of economy cars to sport utility vehicles is 5 : 3 . what is the ratio of luxury cars to sport utility vehicles ? \nOptions: a ) 9 : 8 , b ) 8 : 9 , c ) 6 : 2 , d ) 2 : 3 , e ) 1 : 2", "output": [ "b" ] }, { "id": "task1421-1084a51ae3d041f6a47c7d4652afe5b7", "input": "Problem: there are 2 vessels a & b containing 25 liters each of pure milk and pure water respectively . 5 liters of milk from a is taken and poured into b , then 6 liters of mixture from b is taken and poured in a . what is ratio of water a and b respectively . \nOptions: a ) 1 : 3 , b ) 1 : 4 , c ) 1 : 5 , d ) 1 : 6 , e ) 1 : 7", "output": [ "b" ] }, { "id": "task1421-4fdf71d22790439b9da8c6be2aaaccb8", "input": "Problem: find out the ratio of milk to that of water , if a mixture is formed after mixing milk and water of 3 different vessels containning the mixture of milk to that of water in the proportion 3 : 2 , 7 : 3 , 9 : 2 respectively . \nOptions: a ) 233 : 97 , b ) 235 : 98 , c ) 236 : 97 , d ) 265 : 98 , e ) 234 : 97", "output": [ "a" ] }, { "id": "task1421-fc9103590be045349efb24e376b20760", "input": "Problem: what number has a 5 : 1 ratio to the number 11 ? \nOptions: a ) 22 , b ) 50 , c ) 55 , d ) 52 , e ) 12", "output": [ "c" ] }, { "id": "task1421-2de7d10be29948268d80fba4ecaa82f4", "input": "Problem: a hen leaps 3 leaps for every 2 leaps of a duck , but 4 leaps of the duck are equal to 3 leaps of the hen . what is the ratio of the speed of the hen to that of the duck ? \nOptions: a ) 2 : 1 , b ) 3 : 4 , c ) 4 : 3 , d ) 1 : 4 , e ) 5 : 6", "output": [ "a" ] }, { "id": "task1421-df6b4688b1dd464ebb4d80537a504d9c", "input": "Problem: in a graduating class of 238 students , 144 took geometry and 119 took biology . what is the difference between the greatest possible number and the smallest possible number of students that could have taken both geometry and biology ? \nOptions: a ) 144 , b ) 119 , c ) 113 , d ) 88 , e ) 31", "output": [ "b" ] }, { "id": "task1421-987123c1a2bd4a2fb920b262f422b980", "input": "Problem: 210 school students were asked in a survey if they preferred windows or mac brand computers . 60 students claimed that they preferred mac to windows brand computers . one third as many of the students who preferred mac to windows , equally preferred both brands . 90 of the students had no preference . how many of the students in the survey preferred windows to mac brand computers ? \nOptions: a ) 25 , b ) 40 , c ) 50 , d ) 60 , e ) 75", "output": [ "b" ] }, { "id": "task1421-47e042efeabd4c80a2848b0a73f171aa", "input": "Problem: a bag contains 5 green balls and 8 white balls . if two balls are drawn simultaneously , what is the probability that both balls are the same colour ? \nOptions: a ) 3 / 7 , b ) 6 / 11 , c ) 12 / 21 , d ) 19 / 39 , e ) 29 / 49", "output": [ "d" ] }, { "id": "task1421-182023fe056f4a9b81baeb2ea265df6a", "input": "Problem: compound x contains elements a and b at an approximate ratio , by weight , of 2 : 10 . approximately how many grams of element b are there in 300 grams of compound x ? \nOptions: a ) 54 , b ) 162 , c ) 250 , d ) 270 , e ) 322", "output": [ "c" ] }, { "id": "task1421-9ff1c1b32b464f66a350f5186f67e3cc", "input": "Problem: 6 ) a marketing firm determined that , of 160 households surveyed , 80 used neither brand a nor brand b soap . 60 used only brand a soap and for every household that used both brands of soap , 3 used only brand b soap . how many of the 200 household surveyed used both brands of soap ? \nOptions: a ) a ) 15 , b ) b ) 20 , c ) c ) 30 , d ) d ) 40 , e ) e ) 5", "output": [ "e" ] }, { "id": "task1421-3ac0536871704a57a9f148219741ff81", "input": "Problem: what number has a 3 : 4 ratio to the number 400 ? \nOptions: a ) 130 , b ) 100 , c ) 200 , d ) 300 , e ) 120", "output": [ "d" ] }, { "id": "task1421-4d98fdc60a784a43b1b0da2389f87bad", "input": "Problem: mala and usha shared their water from a bottle . if mala and usha both drank for the same amount of time , but usha only drank 2 / 10 of the total bottle , what was the ratio of mala and usha speed ? \nOptions: a ) 1 : 4 , b ) 2 : 5 , c ) 4 : 1 , d ) 3 : 5 , e ) 2 : 3", "output": [ "c" ] }, { "id": "task1421-350a6b209595480aa42e4f469b165ae2", "input": "Problem: a student committee on academic integrity has 72 ways to select a president and vice president from a group of candidates . the same person can not be both president and vice president . how many candidates are there ? \nOptions: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11", "output": [ "c" ] }, { "id": "task1421-f794f12a34254565a3ecc380e3835153", "input": "Problem: 7 machines at a certain factory operate at the same constant rate . if 6 of these machines , operating simultaneously , take 42 hours to fill a certain production order , how many fewer hours does it take all 7 machines , operating simultaneously , to fill the same production order ? \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "d" ] }, { "id": "task1421-654c83a7504049bba38b9cba8af38c98", "input": "Problem: at a certain zoo , the ratio of sea horse to penguins is 5 to 11 . if there are 85 more penguins than sea horses at the zoo , how many sea horses are there ? \nOptions: a ) 24 , b ) 36 , c ) 48 , d ) 70 , e ) 132", "output": [ "d" ] }, { "id": "task1421-735ca52aa93a4be28db69bc35c253599", "input": "Problem: a person want to give his money of $ 1000 to his 3 children a , b , c in the ratio 6 : 4 : 5 what is the a + b share ? \nOptions: a ) $ 660.67 , b ) $ 646.67 , c ) $ 666.67 , d ) $ 500.56 , e ) $ 600.24", "output": [ "c" ] }, { "id": "task1421-5d0ae095e22741b386b37281c89a007e", "input": "Problem: two whole numbers whose sum is 40 can not be in the ratio \nOptions: a ) 4 : 10 , b ) 2 : 3 , c ) 1 : 3 , d ) 2 : 4 , e ) 3 : 5", "output": [ "d" ] }, { "id": "task1421-3585d3f7d0e84a93b4c05895e2826a62", "input": "Problem: if both 5 ^ 3 and 3 ^ 3 are factors of n x ( 2 ^ 5 ) x ( 12 ^ 2 ) x ( 7 ^ 3 ) x ( 10 ^ 2 ) , what is the smallest possible positive value of n ? \nOptions: a ) 15 , b ) 45 , c ) 75 , d ) 125 , e ) 150", "output": [ "a" ] }, { "id": "task1421-50845f04f3ea43a1b5b6f7561c213971", "input": "Problem: the number of sailors on a ship is 88 % more than the number of officers . the ratio of sailors to officers would be \nOptions: a ) 33 : 25 , b ) 47 : 20 , c ) 47 : 25 , d ) 22 : 25 , e ) 97 : 50", "output": [ "c" ] }, { "id": "task1421-8d4e091270c241118ebed5a3a748eb89", "input": "Problem: a began business with rs . 27000 and was joined afterwards by b with rs . 54000 . when did b join if the profits at the end of the year were divided in the ratio of 2 : 1 ? \nOptions: a ) 9 , b ) 6 , c ) 7 , d ) 8 , e ) 2", "output": [ "a" ] }, { "id": "task1421-b234d4e671244ba99a2fc58504f95e9c", "input": "Problem: the marks obtained by vijay and amith are in the ratio 4 : 7 and those obtained by amith and abhishek in the ratio of 3 : 2 . the marks obtained by vijay and abhishek are in the ratio of ? \nOptions: a ) 6 : 8 , b ) 6 : 1 , c ) 6 : 5 , d ) 6 : 7 , e ) 6 : 3", "output": [ "d" ] }, { "id": "task1421-6e432df6911b4d26beb8305f7670eb88", "input": "Problem: at present the ratio between the ages of arun and deepak is 2 : 5 . after 10 years arun ' s age will be 30 years . what is the age of the deepak ? \nOptions: a ) 20 , b ) 40 , c ) 50 , d ) 60 , e ) 45", "output": [ "c" ] }, { "id": "task1421-63fc79c07ee945bf8ce556f5177275d5", "input": "Problem: the compound ratio of 5 : 6 , 3 : 2 and 4 : 5 ? \nOptions: a ) 1 : 8 , b ) 1 : 6 , c ) 1 : 2 , d ) 1 : 1 , e ) 1 : 7", "output": [ "d" ] }, { "id": "task1421-6afe1180c1c043f6a6a4874f525cdfae", "input": "Problem: veena ranks 73 rd from the top in a class of 198 . what is her rank from the bottom if 22 students have failed the examination ? \nOptions: a ) 88 , b ) 104 , c ) 110 , d ) 90 , e ) 93", "output": [ "b" ] }, { "id": "task1421-a855121b00f148a8940b3771887e3d14", "input": "Problem: the number of stamps that kaye and alberto had were in the ration of 5 : 3 respectively . after kaye gave alberto 10 of her stamps , the ration of the number of kaye had to the number of alberto had was 6 : 4 . as a result of the gift , kaye had how many more stamps than alberto ? \nOptions: a ) 80 , b ) 85 , c ) 65 , d ) 55 , e ) 50", "output": [ "a" ] }, { "id": "task1421-b1f64fcb8dc94dc488e8cb3ec83eb871", "input": "Problem: three numbers are in the ratio 3 : 4 : 5 and their l . c . m is 2400 . their h . c . f is : \nOptions: a ) 40 , b ) 80 , c ) 120 , d ) 200 , e ) 220", "output": [ "a" ] }, { "id": "task1421-1a2a988a615e48ec9fe064054d570c36", "input": "Problem: log 3 n + log 6 n what is 3 digit number n that will be whole number \nOptions: a ) 629 , b ) 729 , c ) 829 , d ) 929 , e ) 216", "output": [ "e" ] }, { "id": "task1421-6a92f0084ad0472aa4c69a46d4052159", "input": "Problem: an amount of money is to be distributed among faruk , vasim and ranjith in the ratio 3 : 5 : 6 . if vasims share is rs . 1500 , what is the difference between faruk ' s and ranjith ' s shares ? \nOptions: a ) s 1200 , b ) s 1500 , c ) s 1600 , d ) s 1900 , e ) s 900", "output": [ "e" ] }, { "id": "task1421-016344de2cdb46cc83925df974b4ae96", "input": "Problem: in a certain alphabet , 9 letters contain a dot and a straight line . 24 letters contain a straight line but do not contain a dot . if that alphabet has 40 letters , all of which contain either a dot or a straight line or both , how many letters contain a dot but do not contain a straight line ? \nOptions: a ) 7 , b ) 8 , c ) 14 , d ) 20 , e ) 28", "output": [ "a" ] }, { "id": "task1421-4a798624a6a14950bfaffd41cee01be8", "input": "Problem: find the two digit number , such that the ratio is 7 / 4 of original number to the number formed by reversing the digits . \nOptions: a ) 20 , b ) 21 , c ) 22 , d ) 23 , e ) 24", "output": [ "b" ] }, { "id": "task1421-e2ba5c9ab2a6416f92aad3a90df31722", "input": "Problem: 19 balls are numbered 1 to 19 . a ball is drawn and then another ball is drawn without replacement . what is the probability that both balls have even numbers ? \nOptions: a ) 2 / 9 , b ) 4 / 19 , c ) 6 / 29 , d ) 8 / 39 , e ) 10 / 49", "output": [ "b" ] }, { "id": "task1421-f49dffe5b29046e68c93e1def1e400f2", "input": "Problem: the h . c . f . of two numbers is 63 and the other two factors of their l . c . m . are 11 and 17 . the larger of the two numbers is : \nOptions: a ) 3421 , b ) 2132 , c ) 1111 , d ) 4323 , e ) 1071", "output": [ "e" ] }, { "id": "task1421-21ea0af64dcf4b75a2f910a443982047", "input": "Problem: how many positive factors do 120 and 96 have in common ? \nOptions: a ) 8 , b ) 12 , c ) 16 , d ) 18 , e ) 24", "output": [ "a" ] }, { "id": "task1421-63f00913638a4b92b584185a81c2d66d", "input": "Problem: ramesh , xyz and rajeev put a partnership . profit is 36000 , if ramesh and xyz ratio is 5 : 4 and xyz and rajeev 8 : 9 . find rajeev ' s share . \nOptions: a ) 14000 , b ) 15000 , c ) 16000 , d ) 12000 , e ) 17000", "output": [ "d" ] }, { "id": "task1421-ba772a447bb8495e8b3e1288f9b909e7", "input": "Problem: the number of people who purchased book a is twice the number of people who purchased book b . the number of people who purchased both books a and b is 500 , which is twice the number of people who purchased only book b . what is the number of people b who purchased only book a ? \nOptions: a ) 250 , b ) 500 , c ) 750 , d ) 1000 , e ) 1500", "output": [ "d" ] }, { "id": "task1421-2cb625e6337e4bbf96522b2e1f3ba746", "input": "Problem: how many positive integers h between 200 and 300 ( both inclusive ) are not divisible by 2 , 3 or 5 ? \nOptions: a ) 3 , b ) 16 , c ) 75 , d ) 24 , e ) 26", "output": [ "e" ] }, { "id": "task1421-5ff42132a7e741ffaba54d9e2d50e5d3", "input": "Problem: the ratio by weight , measured in pounds , of books to clothes to electronics in a suitcase initially stands at 7 : 4 : 3 . someone removes 8 pounds of clothing from the suitcase , thereby doubling the ratio of books to clothes . how many pounds do the electronics in the suitcase weigh ? \nOptions: a ) 6 , b ) 8 , c ) 10 , d ) 12 , e ) 14", "output": [ "d" ] }, { "id": "task1421-c18082ffb3fc4b8e8758527939a92e9a", "input": "Problem: a dog takes 2 leaps for every 3 leaps of a hare . if one leap of the dog is equal to 3 leaps of the hare , the ratio of the speed of the dog to that of the hare is : \nOptions: a ) 1 : 5 , b ) 2 : 5 , c ) 3 : 5 , d ) 4 : 5 , e ) 6 : 5", "output": [ "e" ] }, { "id": "task1421-06f9441a5dd245f68fb5e943153c197f", "input": "Problem: at a certain organisation , the number of male members went up by 12 % in the year 2001 from year 2000 , and the number of females members went down by 5 % in the same time period . if the total membership at the organisation went up by 1.2 % from the year 2000 to 2001 , what was the ratio of male members to female members in the year 2000 ? \nOptions: a ) 1 : 2 , b ) 1 : 3 , c ) 2 : 3 , d ) 3 : 2 , e ) 4 : 7", "output": [ "e" ] }, { "id": "task1421-b7eb82190eb541aab86e035370ca6b5e", "input": "Problem: a boy multiplied 987 by a certain number and obtained 559981 as his answer . if in the answer both 98 are wrong and the other digits are correct , then the correct answer would be : \nOptions: a ) 288889 , b ) 556677 , c ) 555681 , d ) 267788 , e ) 268811", "output": [ "c" ] }, { "id": "task1421-4a4a4273c8754ce291cfacef67e7b0c2", "input": "Problem: a marketing survey of anytown found that the ratio of trucks to sedans to motorcycles was 3 : 7 : 2 , respectively . given that there are 10,500 sedans in anytown , how many motorcycles are there ? \nOptions: a ) 1260 , b ) 3000 , c ) 3600 , d ) 4200 , e ) 5200", "output": [ "b" ] }, { "id": "task1421-d2105160c647435f9e69183c96e5f11b", "input": "Problem: bag a contains red , white and blue marbles such that the red to white marble ratio is 1 : 3 and the white to blue marble ratio is 2 : 3 . bag b contains red and white marbles in the ratio of 1 : 4 . together , the two bags contain 18 white marbles . how many red marbles could be in bag a ? \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 6 , e ) 8", "output": [ "a" ] }, { "id": "task1421-d712b40d68b343f3ae54919e802db4bd", "input": "Problem: 3 numbers are in the ratio 3 : 5 : 7 . the largest number is 56 . what is the difference between smallest and largest number ? \nOptions: a ) 20 , b ) 24 , c ) 28 , d ) 32 , e ) 36", "output": [ "d" ] }, { "id": "task1421-7a863b72131b4166ad14063fad235cfe", "input": "Problem: if x and y are sets of integers , x # y denotes the set of integers that belong to set x or set y , but not both . if x consists of 16 integers , y consists of 18 integers , and 6 of the integers are in both x and y , then x # y consists of how many integers ? \nOptions: a ) 6 , b ) 16 , c ) 22 , d ) 30 , e ) 174", "output": [ "c" ] }, { "id": "task1421-15d9258cb6154fbfbb299cb06ae5fde5", "input": "Problem: there are 10 girls and 20 boys in a classroom . what is the ratio of girls to boys ? \nOptions: a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 5 , d ) 10 / 30 , e ) 2 / 5", "output": [ "a" ] }, { "id": "task1421-3154e4803095483aa7042820f9030365", "input": "Problem: how many odd integers from 1 to 100 ( both inclusive ) have odd number of factors ? \nOptions: a ) 13 , b ) 14 , c ) 5 , d ) 6 , e ) 7", "output": [ "c" ] }, { "id": "task1421-cd6a1677c4814c1db4774eb94afeefd1", "input": "Problem: a number is said to be prime saturated if the product of all the different positive prime factors of e is less than the square root of e . what is the greatest two digit prime saturated integer ? \nOptions: a ) 99 , b ) 98 , c ) 97 , d ) 96 , e ) 95", "output": [ "d" ] }, { "id": "task1421-c504ad8d120b4e6da303e0c7452d68cc", "input": "Problem: he ratio between the sale price and the cost price of an article is 7 : 5 . what is the ratio between the profit and the cost price of that article ? \nOptions: a ) 2 : 6 , b ) 2 : 9 , c ) 2 : 4 , d ) 2 : 1 , e ) 2 : 5", "output": [ "e" ] }, { "id": "task1421-5803180b13f54eb393378369b38d45d8", "input": "Problem: 6 ) a marketing firm determined that , of 300 households surveyed , 80 used neither brand a nor brand b soap . 60 used only brand a soap and for every household that used both brands of soap , 3 used only brand b soap . how many of the 200 household surveyed used both brands of soap ? \nOptions: a ) a ) 15 , b ) b ) 20 , c ) c ) 30 , d ) d ) 40 , e ) e ) 45", "output": [ "d" ] }, { "id": "task1421-d62eb9f1890641e491ed7fd69d78a7d4", "input": "Problem: a number is said to be prime saturated if the product of all the different positive prime factors of r is less than the square root of r . what is the greatest two digit prime saturated integer ? \nOptions: a ) 99 , b ) 98 , c ) 97 , d ) 96 , e ) 95", "output": [ "d" ] }, { "id": "task1421-0a112d659dbd478787f78251b6999fe7", "input": "Problem: the ratio of the number of females to males at a party was 1 : 2 but when 7 females and 7 males left , the ratio became 1 : 3 . how many people were at the party originally ? \nOptions: a ) 28 , b ) 32 , c ) 36 , d ) 42 , e ) 50", "output": [ "d" ] }, { "id": "task1421-d65230bd8c7244e89b2521ef586104f8", "input": "Problem: water consists of hydrogen and oxygen , and the approximate ratio , by mass , of hydrogen to oxygen is 2 : 16 . approximately how many grams of oxygen are there in 108 grams of water ? \nOptions: a ) 16 , b ) 96 , c ) 112 , d ) 128 , e ) 142", "output": [ "b" ] }, { "id": "task1421-848a8a53227b4d1cb3e63c78cd5f38b9", "input": "Problem: how many of the positive factors of 36 , 84 and how many common factors are there in numbers ? \nOptions: a ) 2 , b ) 4 , c ) 3 , d ) 5 , e ) 6", "output": [ "e" ] }, { "id": "task1421-bdcbdf93fa35464e94bcc8af2ca68c54", "input": "Problem: how many positive integers between 5 and 5000 ( both are inclusive ) are there such that they are multiples of 5 ? \nOptions: a ) 1500 , b ) 1000 , c ) 999 , d ) 1001 , e ) 1005", "output": [ "b" ] }, { "id": "task1421-d3ce325d47e546b1be0f0daff28ff4dd", "input": "Problem: if s and t are both odd prime numbers ands < t , then how many different positive integer factors does 2 sthave ? \nOptions: a ) 3 , b ) 4 , c ) 6 , d ) 8 , e ) 12", "output": [ "d" ] }, { "id": "task1421-0819b2160557454c8129e2439550b9f5", "input": "Problem: income and expenditure of a person are in the ratio 5 : 4 . if the income of the person is rs . 14000 , then find his savings ? \nOptions: a ) 3600 , b ) 2800 , c ) 3608 , d ) 3602 , e ) 3603", "output": [ "b" ] }, { "id": "task1421-721ccd0c44fd41bbb94840aa97fc66da", "input": "Problem: how many positive integers between 20 and 2000 ( both are inclusive ) are there such that they are multiples of 10 ? \nOptions: a ) 201 , b ) 193 , c ) 200 , d ) 199 , e ) 195", "output": [ "d" ] }, { "id": "task1421-0c012f257f69400597b62af14f281234", "input": "Problem: how many of the positive factors of 25 , 150 and how many common factors are there in numbers ? \nOptions: a ) 2 , b ) 4 , c ) 3 , d ) 5 , e ) 1", "output": [ "c" ] }, { "id": "task1421-0f769d47d87443f189586a6472547281", "input": "Problem: the ratio of number of boys and girls in a school is 2 : 5 . if there are 420 students in the school , find the number of girls in the school ? \nOptions: a ) 150 , b ) 250 , c ) 300 , d ) 370 , e ) 280", "output": [ "c" ] }, { "id": "task1421-46b4c57d0bf449a4b1c2ff114874de45", "input": "Problem: a bag contains 6 green and 8 white balls . if two balls are drawn simultaneously , the probability that both are of the same colour is \nOptions: a ) 8 / 15 , b ) 2 / 5 , c ) 3 / 5 , d ) 11 / 15 , e ) 43 / 91", "output": [ "e" ] }, { "id": "task1421-85426e69d6eb42d389ba04aeeb607a28", "input": "Problem: the ratio of a and b is 5 : 3 . after 2 years their ratio is 3 : 2 . what is the age of b ? \nOptions: a ) 5 , b ) 3 , c ) 6 , d ) 7 , e ) 8", "output": [ "c" ] }, { "id": "task1421-85390dc2f2cc4d35936a780a7f307f65", "input": "Problem: in a class , 5 people like baseball and football , 2 people only like baseball , 3 people only like football , and 6 people like neither . how many people are in the class ? \nOptions: ['a ) 10', 'b ) 14', 'c ) 16', 'd ) 20', 'e ) 22']", "output": [ "c" ] }, { "id": "task1421-7ad8ed6cf6e64288a4a6ef140a026282", "input": "Problem: 39 ! is divided by 41 then what is the remainder ? \nOptions: a ) 1 , b ) 2 , c ) 4 , d ) 6 , e ) 7", "output": [ "a" ] }, { "id": "task1421-849fd5adf6574a34a4788b8d714258d8", "input": "Problem: how many of the positive factors of 45 , 16 and how many common factors are there in numbers ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "a" ] }, { "id": "task1421-7787a94b64a04ecc8bab4ad0844d96a9", "input": "Problem: a grocery store bought some apples at a rate of 5 for a dollar . they were separated into two stacks , one of which was sold at a rate of 3 for a dollar and the other at a rate of 6 for a dollar . what was the ratio of the number of apples in the two stacks if the store broke even after having sold all of its apples ? \nOptions: a ) 1 : 7 , b ) 1 : 5 , c ) 1 : 4 , d ) 1 : 2 , e ) 2 : 5", "output": [ "c" ] }, { "id": "task1421-42d131d9fa7544ceb9d18fde4801f317", "input": "Problem: the h . c . f . of two numbers is 32 and the other two factors of their l . c . m . are 13 and 14 . the larger of the two numbers is : \nOptions: a ) 448 , b ) 299 , c ) 421 , d ) 460 , e ) 365", "output": [ "a" ] }, { "id": "task1421-1e6442c261594cef8a7a28589c67f56f", "input": "Problem: the duplicate ratio of 3 : 4 is ? \nOptions: a ) 1 : 2 , b ) 1 : 4 , c ) 1 : 8 , d ) 9 : 16 , e ) 1 : 13", "output": [ "d" ] }, { "id": "task1421-52b49ece8d0f4222bf5bab544616106e", "input": "Problem: 120 kg of an alloy a is mixed with 180 kg of alloy b . if alloy a has lead and tin in the ratio 2 : 3 and alloy b has tin and copper in the ratio 3 : 5 , then the amount of tin in the new alloy is ? \nOptions: a ) 100.6 kg , b ) 120.3 kg , c ) 139.5 kg , d ) 140.8 kg , e ) 114.5 kg", "output": [ "c" ] }, { "id": "task1421-dc11c58f75024496a81e907eb3cae596", "input": "Problem: at the faculty of aerospace engineering , 312 students study random - processing methods , 232 students study scramjet rocket engines and 114 students study them both . if every student in the faculty has to study one of the two subjects , how many students are there in the faculty of aerospace engineering ? \nOptions: a ) 438 , b ) 436 , c ) 430 , d ) 442 , e ) 444", "output": [ "c" ] }, { "id": "task1421-0faf0359d5bc44edac2137b93fca01a4", "input": "Problem: the ratio of two numbers is 3 : 4 and their sum is 21 . the greater of the two numbers is ? \nOptions: a ) 12 , b ) 14 , c ) 16 , d ) 17 , e ) 19", "output": [ "a" ] }, { "id": "task1421-8e53c0e1d1c84801ab548be5f5530ca3", "input": "Problem: ( 4 ! ) ^ n is a factor of 12 ! , but ( 4 ! ) ^ ( n + 1 ) is not factor of 12 ! . what is the value of n ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "c" ] }, { "id": "task1421-33f6ae5664844c6fa274c9854b72d7e9", "input": "Problem: if m = 3 ^ n , what is the greatest value of n for which m is a factor of 16 ! \nOptions: a ) 8 , b ) 10 , c ) 6 , d ) 14 , e ) 16", "output": [ "c" ] }, { "id": "task1421-8e2af82f66f44d0bbdf5ec890045907a", "input": "Problem: how many different positive integers are factors of 324 ? \nOptions: a ) 9 , b ) 16 , c ) 25 , d ) 36 , e ) 49", "output": [ "d" ] }, { "id": "task1421-d7e1e32cd6cf490899c9f92f9c68305b", "input": "Problem: there are 2 available positions and 50 candidates , one half of whom are democrats and another half are republicans . if it was decided that the positions would be filled at random , then what is the probability e that the both positions will be taken by members of just one party ? \nOptions: a ) 1 / 25 , b ) 12 / 49 , c ) 1 / 4 , d ) 24 / 49 , e ) 1 / 2", "output": [ "d" ] }, { "id": "task1421-140792a6b97a4bc68091ac5da35a66f5", "input": "Problem: apple costs l rupees per kilogram for first 30 kgs and q rupees per kilogram for each additional kilogram . if the price of 33 kilograms is 333 and for 36 kgs of apples is 366 then the cost of first 15 kgs of apples is \nOptions: a ) 3.69 , b ) 3.66 , c ) 3.6 , d ) 150 , e ) 3.61", "output": [ "d" ] }, { "id": "task1421-8311588270584b6e94092976aa26c993", "input": "Problem: what is the square root of 5,625 ? \nOptions: a ) a ) 18 , b ) b ) 75 , c ) c ) 45 , d ) d ) 62 , e ) e ) 81", "output": [ "b" ] }, { "id": "task1421-eaad5cee7aaf4e5d818e372cfea63741", "input": "Problem: in a family 19 people eat only vegetarian , 9 people eat only non veg . , 12 people eat both veg and non veg . . how many people eat veg in the family ? \nOptions: a ) 20 , b ) 31 , c ) 9 , d ) 31 , e ) 21", "output": [ "b" ] }, { "id": "task1421-78b486de20284e7b9e097e45dde0e100", "input": "Problem: the ratio of flour to water to sugar in a recipe is 8 : 4 : 3 . the ratio in a new recipe calls for a doubling of the ratio of flour to water from the original recipe and a halving of the ratio of flour to sugar . if the new recipe calls for 2 cups of water , how much sugar is required ? \nOptions: a ) 6 , b ) 5 , c ) 4 , d ) 3 , e ) 2", "output": [ "a" ] }, { "id": "task1421-5b82ae592e214d9ba68451568aec586c", "input": "Problem: 90 kg of an alloy a is mixed with 140 kg of alloy b . if alloy a has lead and tin in the ratio 3 : 4 and alloy b has tin and copper in the ratio 2 : 5 , then the amount of tin in the new alloy is ? \nOptions: a ) 100.6 kg , b ) 95.4 kg , c ) 117.5 kg , d ) 91.4 kg , e ) 92 kg", "output": [ "d" ] }, { "id": "task1421-d7659d9271594d96b93a2893707822a3", "input": "Problem: irin , ingrid and nell bake chocolate chip cookies in the ratio of 9.18 : 5.17 : 2.05 . if altogether they baked a batch of 170 cookies , what percent of the cookies did irin bake ? \nOptions: a ) 0.125 % , b ) 1.25 % , c ) 12.5 % , d ) 53.5 % , e ) 0.152 %", "output": [ "d" ] }, { "id": "task1421-f38b9487d208470181f61145b4db3fea", "input": "Problem: the compound ratio of 2 / 3 , 6 / 7 , 1 / 5 and 1 / 8 is given by ? \nOptions: a ) 7 / 98 , b ) 1 / 48 , c ) 1 / 98 , d ) 3 / 350 , e ) 1 / 68", "output": [ "d" ] }, { "id": "task1421-bab5e22920284345a9a96c474c9a57e6", "input": "Problem: how many distinct prime numbers are factors of 33150 ? \nOptions: a ) four , b ) five , c ) six , d ) seven , e ) eight", "output": [ "b" ] }, { "id": "task1421-7a397afb71c94a3fa2e95365eabda545", "input": "Problem: find the highest common factor of 36 and 84 ? \nOptions: a ) 4 , b ) 6 , c ) 12 , d ) 18 , e ) none of these", "output": [ "c" ] }, { "id": "task1421-6407acf39d014b9f9721b514d08e4988", "input": "Problem: solution a is 30 % salt and solution b is 80 % salt . if you have 30 ounces of solution a and 60 ounces of solution b , in what ratio could you mix solution a with solution b to produce 50 ounces of a 50 % salt solution ? \nOptions: a ) 6 : 4 , b ) 6 : 14 , c ) 4 : 4 , d ) 4 : 6 , e ) 3 : 2", "output": [ "e" ] }, { "id": "task1421-a52ada665cbb431eb7533eae136b8f8a", "input": "Problem: if both 5 ^ 2 and 3 ^ 3 are factors of n x ( 2 ^ 5 ) x ( 6 ^ 2 ) x ( 7 ^ 3 ) , what is the smallest possible positive value of n ? . \nOptions: a ) 25 , b ) 27 , c ) 45 , d ) 75 , e ) 125", "output": [ "d" ] }, { "id": "task1421-b0311f50842c47b6a4b9d725f960b2dd", "input": "Problem: of the 65 cars on a car lot , 45 have power steering , 25 have power windows , and 17 have both power steering and power windows . how many of the cars on the lot have neither power steering nor power windows ? \nOptions: a ) 2 , b ) 8 , c ) 12 , d ) 15 , e ) 18", "output": [ "c" ] }, { "id": "task1421-1a3173544a56442385436ba9e595bb8a", "input": "Problem: the ratio of numbers is 3 : 4 and their h . c . f is 4 . their l . c . m is : \nOptions: a ) 12 , b ) 16 , c ) 24 , d ) 48 , e ) 98", "output": [ "d" ] }, { "id": "task1421-ce7882e2bdeb4ea4bc45ae3885398c51", "input": "Problem: one fast typist type some matter in 4 hrs and another slow typist type the same matter in 6 hrs . if both do combine in how much time they will take to finish . \nOptions: a ) 10 hr , b ) 1 hr , c ) 2 hr 24 mins , d ) 3 hr 4 mins , e ) 4 hr 10 mins", "output": [ "c" ] }, { "id": "task1421-ba5354657c19483baddf680ede50fc28", "input": "Problem: in assembling a bluetooth device , a factory uses one of two kinds of modules . one module costs $ 10 and the other one , that is cheaper , costs $ 2.5 . the factory holds a $ 62.50 worth stock of 22 modules . how many of the modules in the stock are of the cheaper kind ? \nOptions: a ) 31 , b ) 35 , c ) 21 , d ) 40 , e ) 45", "output": [ "c" ] }, { "id": "task1421-5beb08a3b048476db2a2e91d8a6a4650", "input": "Problem: how many odd factors does 160 have ? \nOptions: a ) 2 , b ) 4 , c ) 5 , d ) 6 , e ) 8", "output": [ "a" ] }, { "id": "task1421-66958abba017404597662b913755e411", "input": "Problem: the dimensions of a field are 10 m by 10 m . a pit 5 m long , 5 m wide and 3 m deep is dug in one corner of the field and the earth removed has been evenly spread over the remaining area of the field . what will be the rise in the height of field as a result of this operation ? \nOptions: a ) 2 m , b ) 2.5 m , c ) 1.5 m , d ) 1.25 m , e ) 1 m", "output": [ "e" ] }, { "id": "task1421-180ae4aca94846c18d98a2caca9dc717", "input": "Problem: there are 10 slate rocks , 11 pumice rocks , and 4 granite rocks randomly distributed in a certain field . if 2 rocks are chosen at random and without replacement , what is the probability that both rocks will be slate rocks ? \nOptions: a ) 3 / 20 , b ) 5 / 26 , c ) 7 / 34 , d ) 9 / 37 , e ) 11 / 49", "output": [ "a" ] }, { "id": "task1421-d8acd1f4a3c94422a82c46df56ae41c1", "input": "Problem: there are 2 available positions and 50 candidates , one half of whom are democrats and another half are republicans . if it was decided that the positions would be filled at random , then what is the probability r that the both positions will be taken by members of just one party ? \nOptions: a ) 1 / 25 , b ) 12 / 49 , c ) 1 / 4 , d ) 24 / 49 , e ) 1 / 2", "output": [ "d" ] }, { "id": "task1421-e30dd61e98c149e5b939467ab96c21da", "input": "Problem: the price of precious stone is directly proportional to square of its weight . what will be the loss incurred if a stone weighing 28 gm and costing 28,000 breaks into two pieces whose weights are in the ratio 15 : 13 ? \nOptions: a ) no loss , b ) 10,000 , c ) 28,000 , d ) 9,500 , e ) 14,000", "output": [ "e" ] }, { "id": "task1421-6c8ff5624db8459286b68e42c52ef720", "input": "Problem: two vessels p and q contain 62.5 % and 87.5 % of alcohol respectively . if 3 litres from vessel p is mixed with 4 litres from vessel q , the ratio of alcohol and water in the resulting mixture is ? \nOptions: a ) 179 : 2 , b ) 178 : 3 , c ) 179 : 1 , d ) 179 : 54 , e ) 179 : 45", "output": [ "d" ] }, { "id": "task1421-67feedacc69141329bcee893e044ba62", "input": "Problem: the compound ratio of 5 : 6 , 3 : 2 and 4 : 5 is ? \nOptions: a ) 3 : 5 , b ) 2 : 7 , c ) 1 : 1 , d ) 1 : 4 , e ) none", "output": [ "c" ] }, { "id": "task1421-50d43e21267542d7b535496facdf62ff", "input": "Problem: the simple form of the ratio 4 / 3 : 3 / 7 is ? \nOptions: a ) 7 : 3 , b ) 10 : 3 , c ) 15 : 3 , d ) 25 : 3 , e ) 30 : 3", "output": [ "a" ] }, { "id": "task1421-2d79470aaa4143cbafca660a83ce458d", "input": "Problem: 24 oz of juice p and 25 oz of juice t are mixed to make smothies x and y . the ratio of p to t in smothie x is 4 is to 1 and that in y is 1 is to 5 . how many ounces of juice p are contained in the smothie x ? \nOptions: a ) 5 , b ) 10 , c ) 15 , d ) 20 , e ) 25", "output": [ "d" ] }, { "id": "task1421-56c46327b8654431a9b6d756be687012", "input": "Problem: a certain fruit stand sold apples for $ 0.70 each and bananas for $ 0.60 each . if a customer purchased both apples and bananas from the stand for a total of $ 6.30 , what total number of apples and bananas did the customer purchase ? \nOptions: a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 12", "output": [ "c" ] }, { "id": "task1421-e5679805941843dbba8aba53729dd5e7", "input": "Problem: a certain fruit stand sold apples for $ 0.80 each and bananas for $ 0.50 each . if a customer purchased both apples and bananas from the stand for a total of $ 7.20 , what total number of apples and bananas did the customer purchase ? \nOptions: a ) 10 , b ) 11 , c ) 12 , d ) 13 , e ) 14", "output": [ "c" ] }, { "id": "task1421-c8ecd629fef44f1b9ca6fa7762b83ee7", "input": "Problem: compound x contains elements a and b at an approximate ratio , by weight , of 2 : 10 . approximately how many grams of element b are there in 222 grams of compound x ? \nOptions: a ) 54 , b ) 185 , c ) 250 , d ) 270 , e ) 322", "output": [ "b" ] }, { "id": "task1421-02368151d859420fbba5ffb570ec7742", "input": "Problem: a certain manufacturer of cake , muffin , and bread mixes has 100 buyers , of whom 50 purchases cake mix , 40 purchase muffin mix , and 18 purchase both cake mix and muffin mix . if a buyer is to be selected at random from the 100 buyers , what is the probability that the buyer selected will be one who purchases neither cake mix nor muffin mix ? \nOptions: a ) 1 / 10 , b ) 3 / 10 , c ) 1 / 2 , d ) 7 / 25 , e ) 9 / 10", "output": [ "d" ] }, { "id": "task1421-758335cb124a43468599fba80c622858", "input": "Problem: in a class of 60 children , 30 % children can speak only english , 20 % hindi and english both and the rest of the children can speak only hindi . how many children can speak hindi ? \nOptions: a ) 42 , b ) 36 , c ) 30 , d ) 48 , e ) none of these", "output": [ "a" ] }, { "id": "task1421-bef8533f021e40a49fa1ea2b1a0afa74", "input": "Problem: the simple form of the ratio 4 / 5 : 8 / 9 is ? \nOptions: a ) 5 : 8 , b ) 4 : 9 , c ) 5 : 9 , d ) 5 : 3 , e ) 9 : 10", "output": [ "e" ] }, { "id": "task1421-f0ac4d5077ae4d2bac684bde0f94ba57", "input": "Problem: two numbers are in the ratio 3 : 4 . if their l . c . m . is 72 . what is sum of the numbers ? \nOptions: a ) 42 , b ) 56 , c ) 76 , d ) 84 , e ) 85", "output": [ "a" ] }, { "id": "task1421-6dc7a6aa524e4b7e9255f8cb0482c609", "input": "Problem: a and b play a game where each is asked to select a number from 1 to 16 . if the two numbers match , both of them win a prize . find the probability that they will not win a prize in a single trial . \nOptions: a ) 15 / 16 , b ) 1 / 16 , c ) 7 / 8 , d ) 9 / 8 , e ) none of these", "output": [ "a" ] }, { "id": "task1421-8e9cb591acf34252bf627c6383c6f5a7", "input": "Problem: if the ratio of a to b is 4 to 3 and the ratio of b to c is 1 to 5 , what is the ratio of a to c ? \nOptions: a ) 4 / 15 , b ) 1 / 3 , c ) 2 / 5 , d ) 4 / 5 , e ) 7 / 6", "output": [ "a" ] }, { "id": "task1421-b8c81d81b59b4784afbe6c744337013f", "input": "Problem: if 7 and 9 are factors of 60 n , what is the minimum value of n ? \nOptions: a ) 2 , b ) 3 , c ) 7 , d ) 14 , e ) 21", "output": [ "e" ] }, { "id": "task1421-83cf08c627ff4d5ea6affa393a1fbe8e", "input": "Problem: the simple form of the ratio 7 / 6 : 2 / 5 is ? \nOptions: a ) 10 : 6 , b ) 10 : 3 , c ) 15 : 3 , d ) 25 : 3 , e ) 35 : 12", "output": [ "e" ] }, { "id": "task1421-ec3609871ef94880a058be21fa8644b0", "input": "Problem: at garage sale , all of the prices of the items sold were different . if the price of a radio sold at the garage sale was both the 9 th highest price and the 35 th lowest price among the prices of the items sold , how many items were sold at the garage sale ? \nOptions: a ) 43 , b ) 28 , c ) 44 , d ) 49 , e ) 46", "output": [ "a" ] }, { "id": "task1421-e6ddc8a8eaa04305a59b6665addc677e", "input": "Problem: a bag holds 3 red marbles and 3 green marbles . if you removed two randomly selected marbles from the bag , without replacement , what is the probability that both would be red ? \nOptions: a ) 1 / 10 , b ) 1 / 5 , c ) 3 / 10 , d ) 2 / 5 , e ) 1 / 2", "output": [ "b" ] }, { "id": "task1421-324def29fd704ec489b10618562d5aa4", "input": "Problem: the compound ratio of 2 : 3 , 3 : 2 and 4 : 5 ? \nOptions: a ) 1 : 9 , b ) 1 : 7 , c ) 1 : 2 , d ) 4 : 5 , e ) 1 : 4", "output": [ "d" ] }, { "id": "task1421-241432aa863d4037845c701287af0e9a", "input": "Problem: in a certain alphabet , 8 letters contain a dot and a straight line . 24 letters contain a straight line but do not contain a dot . if that alphabet has 40 letters , all of which contain either a dot or a straight line or both , how many letters contain a dot but do not contain a straight line ? \nOptions: a ) 4 , b ) 8 , c ) 14 , d ) 20 , e ) 28", "output": [ "b" ] }, { "id": "task1421-65723df17e3c4efb9c4e80179032ae4f", "input": "Problem: if x and y are both odd prime numbers and x < y , how many distinct positive integer w factors does 2 xy have ? \nOptions: a ) 3 , b ) 4 , c ) 6 , d ) 8 , e ) 12", "output": [ "d" ] }, { "id": "task1421-d7248024c5e94846a44149b4b27f2a38", "input": "Problem: the ratio of pens to pencils is 5 to 6 . there are 9 more pencils than pens . how many pencils are there ? \nOptions: a ) 36 , b ) 42 , c ) 48 , d ) 54 , e ) 60", "output": [ "d" ] }, { "id": "task1421-05306ca455f54eb2b2e61215b9b8115f", "input": "Problem: in what ratio should a variety of rice costing rs . 6 per kg be mixed with another variety of rice costing rs . 8.75 per kg to obtain a mixture costing rs . 7.50 per kg ? \nOptions: a ) 1 / 68 , b ) 62 / 89 , c ) 12 / 68 , d ) 11 / 84 , e ) 5 / 6", "output": [ "e" ] }, { "id": "task1421-29a094bc8b004c32a7bc2cbe6a14237f", "input": "Problem: if m = 3 ^ n , what is the greatest value of n for which m is a factor of 28 ! \nOptions: a ) 13 , b ) 10 , c ) 12 , d ) 14 , e ) 16", "output": [ "a" ] }, { "id": "task1421-a6decfaf1948467395a17d08ab399b09", "input": "Problem: you need to print a document of the area 216 sq cm . condition is 3 cm margin is to be left at both top & bottom and 2 cm at the sides . what is the optimized size of your paper ? \nOptions: ['a ) 60 sq . cm', 'b ) 70 sq . cm', 'c ) 95 sq . cm', 'd ) 80 sq . cm', 'e ) 90 sq . cm']", "output": [ "e" ] }, { "id": "task1421-e948c8a2d13841b5870fdca331d1f47f", "input": "Problem: the present ages of reena and usha are 24 and 36 yr . respectively . what was the ratio between the ages of usha and reena respectively 8 yr ago ? \nOptions: a ) 7 : 4 , b ) 4 : 7 , c ) 11 : 8 , d ) 8 : 11 , e ) 9 : 12", "output": [ "a" ] }, { "id": "task1421-6801116f10ce45d88cae951937de5a4f", "input": "Problem: how many of the positive factors of 26 , 16 and how many common factors are there in numbers ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "b" ] }, { "id": "task1421-d6718ea5843d4329be3aef553b84e989", "input": "Problem: initially , the men and women in a room were in the ratio of 4 : 5 . then , 2 men entered the room and 3 women left the room . then , the number of women doubled . now there are 14 men in the room . how many r women are currently in the room ? \nOptions: a ) 12 , b ) 14 , c ) 15 , d ) 24 , e ) 36", "output": [ "d" ] }, { "id": "task1421-92d6c5e9a5e74bdbb34549c09bc748d9", "input": "Problem: in a colony of 70 residents , the ratio of the number of men and women is 4 : 3 . among the women , the ratio of the educated to the uneducated is 1 : 4 . if the ratio of the number of education to uneducated persons is 8 : 27 , then find the ratio of the number of educated and uneducated men in the colony ? \nOptions: a ) 1 : 7 , b ) 1 : 1 , c ) 1 : 2 , d ) 1 : 9 , e ) 1 : 3", "output": [ "e" ] }, { "id": "task1421-ec90be2bd81347caaeba0cffaba29e94", "input": "Problem: a man invests some money partly in 9 % stock at 96 and partly in 12 % stock at 120 . to obtain equal dividends from both , he must invest the money in the ratio : \nOptions: a ) 3 : 4 , b ) 3 : 5 , c ) 4 : 5 , d ) 16 : 15 , e ) none", "output": [ "d" ] }, { "id": "task1421-a64b02f26a6b47dfb126a3e0d7081103", "input": "Problem: a man invests some money partly in 12 % stock at 105 and partly in 8 % stock at 88 . to obtain equal dividends from both , he must invest the money in the ratio . \nOptions: a ) 35 : 44 , b ) 34 : 44 , c ) 22 : 44 , d ) 20 : 40 , e ) 50 : 45", "output": [ "a" ] }, { "id": "task1421-c3243ed9aa5c4d00890e1936f5e73d65", "input": "Problem: in a graduating class of 232 students , 144 took geometry and 119 took biology . what is the difference between the greatest possible number and the smallest possible number of students that could have taken both geometry and biology ? \nOptions: a ) 144 , b ) 119 , c ) 113 , d ) 88 , e ) 31", "output": [ "c" ] }, { "id": "task1421-bafafd3a2968409c9c36cb8b6340fd34", "input": "Problem: sandy is younger than molly by 14 years . if the ratio of their ages is 7 : 9 , how old is sandy ? \nOptions: a ) 42 , b ) 49 , c ) 56 , d ) 63 , e ) 70", "output": [ "b" ] }, { "id": "task1421-6c2c361051364ebeb54a4c7ddfac0c95", "input": "Problem: if x and y are sets of integers , x # y denotes the set of integers that belong to set x or set y , but not both . if x consists of 14 integers , y consists of 18 integers , and 6 of the integers are in both x and y , then x # y consists of how many integers ? \nOptions: a ) 6 , b ) 16 , c ) 20 , d ) 30 , e ) 174", "output": [ "c" ] }, { "id": "task1421-727c4f2ba1e148028e7ff64f7900edba", "input": "Problem: presently the ratio between the ages of dan and james is 6 : 5 . after 4 years dan will be 28 . what is the present age of james ? \nOptions: a ) 20 , b ) 19 , c ) 21 , d ) 18 , e ) 22", "output": [ "a" ] }, { "id": "task1421-e2caa003ae2149e5874cf2034d6b9ff9", "input": "Problem: of the 65 cars on a car lot , 45 have air - bag , 30 have power windows , and 12 have both air - bag and power windows . how many of the cars on the lot have neither air - bag nor power windows ? \nOptions: a ) 8 , b ) 2 , c ) 10 , d ) 15 , e ) 18", "output": [ "b" ] }, { "id": "task1421-de50cf4d125f4beabab52c5d132bb98d", "input": "Problem: if 75 percent of a class answered the first question on a certain test correctly , 65 percent answered the second question on the test correctly , and 20 percent answered neither of the questions correctly , what percent answered both correctly ? \nOptions: a ) 10 % , b ) ( 8 ) 20 % , c ) 30 % , d ) 50 % , e ) 60 %", "output": [ "e" ] }, { "id": "task1421-1680380551864a45aefa02f9f11cb1af", "input": "Problem: a student committee on academic integrity has 42 ways to select a president and vice president from a group of candidates . the same person can not be both president and vice president . how many candidates are there ? \nOptions: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11", "output": [ "a" ] }, { "id": "task1421-c274c48e24b04aea8ce9d6eaee5919c0", "input": "Problem: two numbers are in the ratio of 3 : 4 . if 12 be subtracted from each , they are in the ratio of 9 : 8 . find the numbers ? \nOptions: a ) 6,9 , b ) 3,8 , c ) 6,7 , d ) 3,5 , e ) 3,4", "output": [ "e" ] }, { "id": "task1421-02864ae072c74d7b9d68d53a979b8c68", "input": "Problem: what number has a 150 : 1 ratio to the number 2 ? \nOptions: a ) 130 , b ) 300 , c ) 200 , d ) 30 , e ) 75", "output": [ "b" ] }, { "id": "task1421-c4b8547bbf4741f7a74fc4a1a81cc979", "input": "Problem: if 7 and 6 are factors of 60 n , what is the minimum value of n ? \nOptions: a ) 2 , b ) 3 , c ) 7 , d ) 14 , e ) 56", "output": [ "c" ] }, { "id": "task1421-eb678cd1ecf74eea9ebd389de5cdc761", "input": "Problem: what is the square root of 625 , divided by 5 ? \nOptions: a ) 9 , b ) 36 , c ) 5 , d ) 6 , e ) 1", "output": [ "c" ] }, { "id": "task1421-751e869643f2406aab5304087569a687", "input": "Problem: a certain music store stocks 800 cellos and 600 violas . of these instruments , there are 100 cello - viola pairs , such that a cello and a viola were both made with wood from the same tree ( each tree can make at most one viola and one cello , so there are no pairs other than these 90 ) . if one viola and one cello are chosen at random , what is the probability that the two instruments are made with wood from the same tree ? \nOptions: a ) 3 / 16,000 , b ) 1 / 4,800 , c ) 3 / 1,600 , d ) 1 / 90 , e ) 2 / 45", "output": [ "b" ] }, { "id": "task1421-9642ee26b90d4f8d87d52d9183db7c25", "input": "Problem: the triplicate ratio of 1 : 2 is ? \nOptions: a ) 1 : 7 , b ) 1 : 8 , c ) 1 : 3 , d ) 1 : 1 , e ) 1 : 2", "output": [ "b" ] }, { "id": "task1421-20d3ac47b28a45c2aaf85764fb64dbcc", "input": "Problem: the compound ratio of 1 : 4 , 3 : 2 and 4 : 5 ? \nOptions: a ) 1 : 9 , b ) 1 : 7 , c ) 1 : 2 , d ) 3 : 10 , e ) 1 : 4", "output": [ "d" ] }, { "id": "task1421-88aa600c59c34af88d0246790ae6cda3", "input": "Problem: ratio between rahul and deepak is 4 : 3 , after 6 years rahul age will be 50 years . what is deepak present age \nOptions: a ) 14 , b ) 15 , c ) 33 , d ) 22 , e ) 23", "output": [ "c" ] }, { "id": "task1421-37f43a0f36d64aa89c3d2cb0e688a9d8", "input": "Problem: the number of sailors on a ship is 50 % more than the number of officers . the ratio of sailors to officers would be \nOptions: a ) 33 : 25 , b ) 47 : 20 , c ) 3 : 2 , d ) 22 : 25 , e ) 97 : 50", "output": [ "c" ] }, { "id": "task1421-3dc1018c1c844aad973e84e5bd5b90ac", "input": "Problem: what number has a 5 : 1 ratio to the number 12 ? \nOptions: a ) 22 , b ) 50 , c ) 88 , d ) 52 , e ) 60", "output": [ "e" ] }, { "id": "task1421-458e1fe2b3124dcf9219da0d1b1c91c7", "input": "Problem: half 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 56 workers in the palabras bookstore , how many of them have read both books ? \nOptions: a ) 13 , b ) 12 , c ) 9 , d ) 8 , e ) 17", "output": [ "e" ] }, { "id": "task1421-fc4d766a676c444680ed5bb0f0b5896a", "input": "Problem: if 0.2 of a number is equal to 0.08 of another number , the ratio of the numbers i \nOptions: a ) 2 : 3 , b ) 2 : 5 , c ) 3 : 20 , d ) 20 : 3 , e ) none", "output": [ "b" ] }, { "id": "task1421-f6abf47aa1ec4a56a13a0de437b2c765", "input": "Problem: in a group of 95 students , 36 are taking history , and 32 are taking statistics . if 59 students are taking history or statistics or both , then how many students are taking history but not statistics ? \nOptions: a ) 9 , b ) 19 , c ) 23 , d ) 45 , e ) 27", "output": [ "e" ] }, { "id": "task1421-985c9bd71924431c93c8276ba0b191a7", "input": "Problem: 110 people are attending a newspaper conference . 45 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ? \nOptions: a ) 34 , b ) 32 , c ) 30 , d ) 26 , e ) 28", "output": [ "d" ] }, { "id": "task1421-fff9dea2c7834f2d9f0e241ace26b999", "input": "Problem: a bag contains 6 red , 4 blue and 2 green balls . if 2 ballsare picked at random , what is the probability that both are red ? \nOptions: a ) 1 / 13 , b ) 2 / 23 , c ) 5 / 26 , d ) 5 / 22 , e ) 3 / 23", "output": [ "d" ] }, { "id": "task1421-269580d171b741029e626e6eb14e95f4", "input": "Problem: there are 193 items that are members of set u . of these items , 41 are members of set b , 59 are not members of either of set a or set b , and 23 are members of both sets a and b . how many of the members of set u are members of set a ? \nOptions: a ) 116 , b ) 85 , c ) 94 , d ) 98 , e ) 108", "output": [ "a" ] }, { "id": "task1421-03e348957b4944edade05496e69d8a9d", "input": "Problem: if a student loses 5 kilograms , he will weigh twice as much as his sister . together they now weigh 104 kilograms . what is the student ' s present weight in kilograms ? \nOptions: a ) 70 , b ) 71 , c ) 72 , d ) 73 , e ) 74", "output": [ "b" ] }, { "id": "task1421-83e77932e21e462eabba5470ade8f722", "input": "Problem: if 0.4 of a number is equal to 0.06 of another number , the ratio of the numbers is : \nOptions: a ) 2 : 3 , b ) 3 : 4 , c ) 3 : 20 , d ) 20 : 3 , e ) 22 : 1", "output": [ "c" ] }, { "id": "task1421-64ef298ccd324f299559e0e20474ea12", "input": "Problem: in a family 13 people eat only vegetarian , 8 people eat only non veg . , 6 people eat both veg and non veg . . how many people eat veg in the family ? \nOptions: a ) 20 , b ) 11 , c ) 19 , d ) 31 , e ) 21", "output": [ "c" ] }, { "id": "task1421-39ac3acec389498bafe2547b7f620367", "input": "Problem: in a graduating class of 232 students , 144 took geometry and 119 took biology . what is the difference between the greatest possible number p and the smallest possible number of students that could have taken both geometry and biology ? \nOptions: a ) 144 , b ) 119 , c ) 113 , d ) 88 , e ) 31", "output": [ "d" ] }, { "id": "task1421-b28b4e5bc65c45d78a900a83f1554991", "input": "Problem: if the ratio of apples to bananas is 5 to 2 and the ratio of bananas to cucumbers is 1 to 2 , what is the ratio of apples to cucumbers ? \nOptions: a ) 6 : 5 , b ) 1 : 4 , c ) 4 : 3 , d ) 2 : 3 , e ) 5 : 4", "output": [ "e" ] }, { "id": "task1421-7e9dda0f9fc74e13a3d68af00445e426", "input": "Problem: in a group of 90 students , 36 are taking history , and 32 are taking statistics . if 57 students are taking history or statistics or both , then how many students are taking history but not statistics ? \nOptions: a ) 9 , b ) 19 , c ) 25 , d ) 27 , e ) 31", "output": [ "c" ] }, { "id": "task1421-02796a0cf6054867aaddc3745fb11005", "input": "Problem: the h . c . f . of two numbers is 15 and the other two factors of their l . c . m . are 11 and 15 . the larger of the two numbers is : \nOptions: a ) 225 , b ) 300 , c ) 299 , d ) 322 , e ) 345", "output": [ "a" ] }, { "id": "task1421-441a09868ad640a39a82c9507e2f3326", "input": "Problem: on multiplying a numberz by 153 , the result obtained was 102325 . however , it is found that both the 2 ' s are wrong . find the correct result . \nOptions: a ) 104345 , b ) 107375 , c ) 108385 , d ) 109395 , e ) 105355", "output": [ "d" ] }, { "id": "task1421-7fc0ec1875524b048c6fe75c302d1857", "input": "Problem: two numbers are in the ratio 3 : 5 . if 9 be subtracted from each , they are in the ratio of 2 : 5 . the first number is : \nOptions: a ) a ) 33 , b ) b ) 98 , c ) c ) 34 , d ) d ) 35 , e ) e ) 62", "output": [ "a" ] }, { "id": "task1421-1434f2b79e0e48ba9110249a0f2ddab5", "input": "Problem: a garrison of 400 men had a provision for 31 days . after 27 days 200 persons re - enforcement leave the garrison . find the number of days for which the remaining ration will be sufficient ? \nOptions: a ) 65 days , b ) 45 days , c ) 8 days , d ) 16 days , e ) 18 days", "output": [ "c" ] }, { "id": "task1421-cbfe123a75334b68bb95b8aa709a654d", "input": "Problem: the h . c . f . of two numbers is 25 and the other two factors of their l . c . m . are 14 and 16 . the larger of the two numbers is \nOptions: a ) 276 , b ) 299 , c ) 312 , d ) 400 , e ) none", "output": [ "d" ] }, { "id": "task1421-2859611609f54f9791e4e3991b933960", "input": "Problem: in a school 10 % of the boys are same in number as 1 / 3 th of the girls . what is the ratio of boys to the girls in the school ? \nOptions: a ) 5 : 2 , b ) 2 : 3 , c ) 10 : 3 , d ) 3 : 7 , e ) 2 : 5", "output": [ "c" ] }, { "id": "task1421-4353ceea1d6f45d6aea003d533484b2d", "input": "Problem: if x and y are both odd prime numbers andx < y , then how many different positive integer factors does 2 xyhave ? \nOptions: a ) 3 , b ) 4 , c ) 6 , d ) 12 , e ) 8", "output": [ "e" ] }, { "id": "task1421-50088a643b8549bba18ea54e00f97e25", "input": "Problem: the ratio of the number of red cars in a certain parking lot to the number of black cars is 3 to 8 . if there are 52 black cars in the lot , how many red cars are there in the lot ? \nOptions: a ) 11 , b ) 20 , c ) 24 , d ) 27 , e ) 32", "output": [ "b" ] }, { "id": "task1421-1da5af3f244c4fc8a317cc92862077e0", "input": "Problem: the ratio of the incomes of uma and bala is 8 : 7 and the ratio of their expenditure is 7 : 6 . if at the end of the year , each saves $ 2000 then the income of uma is ? \nOptions: a ) $ 16800 , b ) $ 16500 , c ) $ 16000 , d ) $ 16300 , e ) $ 16200", "output": [ "c" ] }, { "id": "task1421-93ac3ce1848d4f27ac2c1bbe2df114d6", "input": "Problem: a person want to give his money of $ 12000 to his 5 children a , b , c , d , e in the ratio 2 : 4 : 3 : 1 : 5 . what is the d + e share ? \nOptions: a ) $ 1800 , b ) $ 2800 , c ) $ 3800 , d ) $ 5800 , e ) $ 4800", "output": [ "e" ] }, { "id": "task1421-6460f776344f4129a41a0fdf3a9667c9", "input": "Problem: there are 14 slate rocks , 20 pumice rocks , and 10 granite rocks randomly distributed in a certain field . if 2 rocks are chosen at random and without replacement , what is the probability that both rocks will be slate rocks ? \nOptions: a ) 1 / 5 , b ) 11 / 22 , c ) 81 / 724 , d ) 91 / 946 , e ) 101 / 987", "output": [ "d" ] }, { "id": "task1421-5792a97cbdb341bdbbff50b3dbb4f63c", "input": "Problem: income and expenditure of a person are in the ratio 5 : 4 . if the income of the person is rs . 20000 , then find his savings ? \nOptions: a ) rs . 3600 , b ) rs . 4000 , c ) rs . 3639 , d ) rs . 3632 , e ) rs . 3602", "output": [ "b" ] }, { "id": "task1421-786fbccaf4cd4ed6a7f969cf156c61f6", "input": "Problem: find the ratio in which rice at rs . 7.00 a kg be mixed with rice at rs . 5.70 a kg to produce a mixture worth rs . 6.30 a kg \nOptions: a ) 6 : 7 , b ) 2 : 3 , c ) 2 : 1 , d ) 2 : 2 , e ) 2 : 8", "output": [ "a" ] }, { "id": "task1421-354eb47bbbd8495ea351f110603085a9", "input": "Problem: a bag contains 9 green and 8 white balls . if two balls are drawn simultaneously , the probability that both are of the same colour is \nOptions: a ) 8 / 17 , b ) 2 / 5 , c ) 3 / 5 , d ) 11 / 15 , e ) 7 / 15", "output": [ "a" ] }, { "id": "task1421-bbfcc8b258294354a6e107dae9373147", "input": "Problem: two vessels having volumes in the ratio 3 : 5 are filled with water and milk solutions . the ratio of milk and water in the two vessels are 2 : 3 and 3 : 1 respectively . if the contents of both the vessel are empties into a larger vessel , find the ratio of milk and water in the larger vessel . \nOptions: a ) 99 : 61 , b ) 99 : 160 , c ) 61 : 160 , d ) 61 : 99 , e ) 99 : 160", "output": [ "a" ] }, { "id": "task1421-f08274a7d2f64413ac3fbaaec320986a", "input": "Problem: in a certain kindergarten , half of the children are allergic to peanuts , 10 children are not allergic to cashew nuts , 10 children are allergic to both peanuts and cashew nuts , and 18 children are allergic to cashew nuts . how many of the kindergarten ' s children are not allergic to peanuts and are not allergic to cashew nuts ? \nOptions: a ) 14 , b ) 10 , c ) 8 , d ) 6 , e ) 4", "output": [ "d" ] }, { "id": "task1421-31b0758c665f48809eb051728b06098e", "input": "Problem: bag a contains red , white and blue marbles such that the red to white marble ratio is 1 : 3 and the white to blue marble ratio is 2 : 3 . bag b contains red and white marbles in the ratio of 1 : 4 . together , the two bags contain 24 white marbles . how many red marbles could be in bag a ? \nOptions: a ) 1 , b ) 3 , c ) 4 , d ) 6 , e ) 8", "output": [ "c" ] }, { "id": "task1421-ddd5191eda32492285f5a8418266ca7d", "input": "Problem: a container holding 12 ounces of a solution that is 1 part alcohol to 2 parts water is added to a container holding 12 ounces of a solution that is 1 part alcohol to 3 parts water . what is the ratio of alcohol to water in the resulting solution ? \nOptions: a ) 2 : 5 , b ) 3 : 7 , c ) 3 : 5 , d ) 4 : 7 , e ) 7 : 17", "output": [ "e" ] }, { "id": "task1421-a3798372db6043c89cd36e5247b3d6d4", "input": "Problem: what is the square root of 81 , divided by 3 ? \nOptions: a ) 9 , b ) 36 , c ) 122 , d ) 3 , e ) 1", "output": [ "d" ] }, { "id": "task1421-5b7e5b93f1f94d1883afc7551e4907cf", "input": "Problem: a certain car dealership sells economy cars , luxury cars , and sport utility vehicles . the ratio of economy to luxury cars is 3 : 2 . the ratio of economy cars to sport utility vehicles is 4 : 2 . what is the ratio of luxury cars to sport utility vehicles ? \nOptions: a ) 9 : 8 , b ) 8 : 9 , c ) 3 : 2 , d ) 8 : 6 , e ) 1 : 2", "output": [ "d" ] }, { "id": "task1421-0303c51c0574406f8002bf0354b686fa", "input": "Problem: a student committee on academic integrity has 56 ways to select a president and vice president from a group of candidates . the same person can not be both president and vice president . how many candidates are there ? \nOptions: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11", "output": [ "b" ] }, { "id": "task1421-4a33b077f83d430fa3a724a42d0d796e", "input": "Problem: the ratio between the number of sheep and the number of horses at the stewart farm is 2 to 7 , if each horse is fed 230 ounces of horse food per day and the farm needs a total 12,880 ounces of horse food per day , what is the number of sheep in the farm ? \nOptions: a ) 18 , b ) 16 , c ) 32 , d ) 56 , e ) 60", "output": [ "b" ] }, { "id": "task1421-1cf7fd4f9fde4e8d8f628431af0a7654", "input": "Problem: how many terminating zeroes t does 200 ! have ? \nOptions: a ) 40 , b ) 48 , c ) 49 , d ) 55 , e ) 64", "output": [ "c" ] }, { "id": "task1421-8e05c301080548079de1a49493b6a740", "input": "Problem: in a group of people , if 30 people were made to stand in each column , 16 columns could be formed . if 12 people were made to stand in a column , how many columns could be formed ? \nOptions: a ) 20 , b ) 30 , c ) 40 , d ) 50 , e ) 60", "output": [ "c" ] }, { "id": "task1421-9c3a94cdd37e479f9a403fac30e91f62", "input": "Problem: how many odd factors does 210 have ? \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 8", "output": [ "e" ] }, { "id": "task1421-5854807f83bd4d2e90b040c285e97cff", "input": "Problem: how many of the positive factors of 24 are not factors of 30 \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 1 , e ) 5", "output": [ "c" ] }, { "id": "task1421-b9be0c18118c4f06b9f05e552adf3343", "input": "Problem: the ratio of the adjacent angles of a parallelogram is 4 : 11 . also , the ratio of the angles of quadrilateral is 5 : 6 : 7 : 12 . what is the sum of the smaller angle of the parallelogram and the second largest angle of the quadrilateral ? \nOptions: a ) 132 ° , b ) 228 ° , c ) 156 ° , d ) 224 ° , e ) none of these", "output": [ "a" ] }, { "id": "task1421-347a1ca0a4124734affcec6887c6654a", "input": "Problem: three numbers are in the ratio of 2 : 3 : 4 and their l . c . m . is 240 . their h . c . f . is : \nOptions: a ) 30 , b ) 20 , c ) 40 , d ) 60 , e ) 70", "output": [ "b" ] }, { "id": "task1421-34d47d8b4f024148baab0fa277e99929", "input": "Problem: two alloys a and b are composed of two basic elements . the ratios of the compositions of the two basic elements in the two alloys are 5 : 3 and 5 : 1 , respectively . a new alloy x is formed by mixing the two alloys a and b in the ratio 4 : 3 . what is the ratio of the composition of the two basic elements in alloy x ? \nOptions: a ) 1 : 1 , b ) 2 : 3 , c ) 5 : 2 , d ) 4 : 3 , e ) 7 : 9", "output": [ "c" ] }, { "id": "task1421-29fda9d349b742cc900fe9db496255eb", "input": "Problem: two vessels contains equal number of mixtures milk and water in the ratio 7 : 2 and 8 : 1 . both the mixtures are now mixed thoroughly . find the ratio of milk to water in the new mixture so obtained ? \nOptions: a ) 1 : 3 , b ) 9 : 13 , c ) 5 : 1 , d ) 11 : 3 , e ) 15 : 4", "output": [ "c" ] }, { "id": "task1421-08d071ef750c4a74a076651059a1e25f", "input": "Problem: the h . c . f . of two numbers is 30 and the other two factors of their l . c . m . are 15 and 12 . the larger of the two numbers is \nOptions: a ) 476 , b ) 399 , c ) 450 , d ) 322 , e ) none", "output": [ "c" ] }, { "id": "task1421-8fb51669202f45e791dc6bfddf742961", "input": "Problem: the ratio of buses to cars on river road is 1 to 3 . if there are 40 fewer buses than cars on river road , how many cars are on river road ? \nOptions: a ) 60 , b ) 75 , c ) 85 , d ) 95 , e ) 105", "output": [ "a" ] }, { "id": "task1421-e80beff6d5244e499cb6ef4f0cfc9dc0", "input": "Problem: the ratio of money with ram and gopal is 7 : 17 and that with gopal and krishan is 7 : 17 . if ram has rs . 490 , krishan has ? \nOptions: a ) rs . 2890 , b ) rs . 2330 , c ) rs . 1190 , d ) rs . 1620 , e ) rs . 2680", "output": [ "a" ] }, { "id": "task1421-c919da6932a74c79b30faf7a59e8d616", "input": "Problem: the ratio of incomes of two person p 1 and p 2 is 5 : 4 and the ratio of their expenditures is 3 : 2 . if at the end of the year , each saves rs . 1200 , then what is the income of p 1 ? \nOptions: a ) s . 800 , b ) s . 2400 , c ) s . 3000 , d ) s . 3200 , e ) s . 4200", "output": [ "c" ] }, { "id": "task1421-d294fdbf75214dd3a2f47b4e8e31d1a2", "input": "Problem: if the ratio of the sum of the first 6 terms of a g . p . to the sum of the first 3 terms of the g . p . is 217 , what is the common ratio of the g . p ? \nOptions: a ) 3 , b ) 1 / 3 , c ) 2 , d ) 6 , e ) 1 / 6", "output": [ "d" ] }, { "id": "task1421-9ad09f1b07d74eeab2c79a77ab5d4c2a", "input": "Problem: the h . c . f . of two numbers is 42 and the other two factors of their l . c . m . are 12 and 14 . the larger of the two numbers is : \nOptions: a ) 588 , b ) 642 , c ) 567 , d ) 344 , e ) 789", "output": [ "a" ] }, { "id": "task1421-be51df533a124c5e858efa2f9ed26e34", "input": "Problem: 210 college students were asked in a survey if they preferred windows or mac brand computers . 60 students claimed that they preferred mac to windows brand computers . one third as many of the students who preferred mac to windows , equally preferred both brands . 90 of the students had no preference . how many of the students in the survey preferred windows to mac brand computers ? \nOptions: a ) 25 , b ) 40 , c ) 50 , d ) 60 , e ) 75", "output": [ "b" ] }, { "id": "task1421-fd8975df3ab9440bbf40d1f519f35301", "input": "Problem: nitin ranks 24 th in a class of 58 students . what is rank from the last ? \nOptions: a ) 33 , b ) 34 , c ) 32 , d ) 28 , e ) 19", "output": [ "b" ] }, { "id": "task1421-f83447d335a0460f9c7ee479385e87cb", "input": "Problem: the ratio of length of two refill is 9 : 8.2 nd refill got damaged when only half length of 2 nd refill get used . the ratio of total no . of pages written by both refill . \nOptions: a ) 8 : 3 , b ) 6 : 5 , c ) 9 : 8 , d ) 9 : 4 , e ) 5 : 4", "output": [ "d" ] }, { "id": "task1421-2536b4c06ad04e9abc105f574e32c678", "input": "Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 7 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ? \nOptions: a ) 5 : 1 , b ) 10 : 5 , c ) 15 : 2 , d ) 20 : 2 , e ) 35 : 2", "output": [ "e" ] }, { "id": "task1421-6cf609242b9949e8b76f001dfac14d03", "input": "Problem: john would make the 3 - letter codes with 26 alphabets in condition that the middle letter must be vowel and the first letter and the third letter must be different from each other and both are consonant . how many cases of the codes are there ? \nOptions: a ) 1,980 , b ) 2,020 , c ) 2,100 , d ) 2,200 , e ) 2,500", "output": [ "c" ] }, { "id": "task1421-3fd19de69c094a418114604f2ee4d695", "input": "Problem: two 6 faced dice are thrown together . the probability that both show the same number on them is ? \nOptions: a ) 1 / 6 , b ) 1 / 12 , c ) 1 / 18 , d ) 1 / 2 , e ) 1 / 4", "output": [ "a" ] }, { "id": "task1421-508847eab7b74700831ac80dba6ea532", "input": "Problem: the present ratio of students to teachers at a certain school is 70 to 1 . if the student enrollment were to increase by 50 students and the number of teachers were to increase by 5 , the ratio of students to teachers would then be 25 to 1 . what is the present number of teachers ? \nOptions: a ) 2 , b ) 8 , c ) 10 , d ) 12 , e ) 15", "output": [ "a" ] }, { "id": "task1421-e5b48adcac4e4ae0bce66f6db08d1c6c", "input": "Problem: in a class , 9 students like to play basketball and 8 like to play cricket . 6 students like to play on both basketball and cricket . how many students like to play basketball or cricket or both ? \nOptions: a ) 12 , b ) 11 , c ) 16 , d ) 18 , e ) 22", "output": [ "b" ] }, { "id": "task1421-2c11e1fea47a4d7390e37e9ec6dd4a01", "input": "Problem: 39 ! is divided by 41 then find the remainder ? \nOptions: a ) 1 , b ) 3 , c ) 5 , d ) 6 , e ) 7", "output": [ "a" ] }, { "id": "task1421-2d3da16680204e10b37d307d5ee8d5d6", "input": "Problem: find the compound ratio of ( 2 : 3 ) , ( 3 : 4 ) and ( 1 : 4 ) is \nOptions: a ) 1 : 2 , b ) 2 : 3 , c ) 1 : 8 , d ) 4 : 5 , e ) 3 : 2", "output": [ "c" ] }, { "id": "task1421-0b2075d10b76485abe40870776399fae", "input": "Problem: in a group of 100 cars , 47 cars do not have air conditioning . if at least 55 cars have racing stripes , what is the greatest number of cars that could have air conditioning but not racing stripes ? \nOptions: a ) 45 , b ) 47 , c ) 49 , d ) 51 , e ) 53", "output": [ "a" ] }, { "id": "task1421-3d15a57c9008443ca591849c18ab7601", "input": "Problem: of the 200 stamps in a collection , 90 are foreign and 70 are more than 10 years old . if 20 stamps are both foreign and more than 10 years old , how many stamps are neither foreign nor more than 10 years old ? \nOptions: a ) 60 , b ) 80 , c ) 100 , d ) 130 , e ) 150", "output": [ "a" ] }, { "id": "task1421-f9ca871dec954071910b154126e13112", "input": "Problem: share rs . 4320 among john , jose & binoy in the ration 2 : 4 : 6 . find the amount received by john ? \nOptions: a ) 900 , b ) 980 , c ) 1200 , d ) 1240 , e ) 1440", "output": [ "e" ] }, { "id": "task1421-24606029755946e28e608a2b81b3e688", "input": "Problem: the l . c . m . of two numbers is 54 . the numbers are in the ratio 2 : 3 . then sum of the number is : \nOptions: a ) 28 , b ) 32 , c ) 40 , d ) 45 , e ) 54", "output": [ "d" ] }, { "id": "task1421-153a92d019d54f5eb89625d4a41ce68c", "input": "Problem: if the ratio of apples to bananas is 5 to 2 and the ratio of bananas to cucumbers is 1 to 3 , what is the ratio of apples to cucumbers ? \nOptions: a ) 2 : 3 , b ) 5 : 3 , c ) 5 : 6 , d ) 1 : 4 , e ) 3 : 4", "output": [ "c" ] }, { "id": "task1421-6fc7dbea4a684dbb98a0391215e81bf6", "input": "Problem: the ratio of money with ram and gopal is 7 : 17 and that with gopal and krishan is 7 : 17 . if ram has rs . 735 , krishan has ? \nOptions: a ) s . 4335 , b ) s . 2330 , c ) s . 1190 , d ) s . 1620 , e ) s . 2680", "output": [ "a" ] }, { "id": "task1421-e85b9fc9c5304c70b2fac4c9f53d6924", "input": "Problem: if log 1087.5 = 4.9421 , then the number of digits in ( 875 ) 10 is ? \nOptions: a ) 60 , b ) 28 , c ) 27 , d ) 26 , e ) 25", "output": [ "a" ] }, { "id": "task1421-452ce06b8ee54c16aed04ccd0317e5d5", "input": "Problem: the present ratio of students to teachers at a certain school is 45 to 1 . if the student enrollment were to increase by 50 students and the number of teachers were to increase by 5 , the ratio of students to teachers would then be 25 to 1 . what is the present number of teachers ? \nOptions: a ) 4 , b ) 8 , c ) 10 , d ) 12 , e ) 15", "output": [ "a" ] }, { "id": "task1421-27d3fac18e0746d2935e2da74ec5e9da", "input": "Problem: set x consists of the integers from 0 to 12 , inclusive , while set y consists of the integers from 6 to 10 , inclusive . how many distinct integers do belong to the both sets at the same time ? \nOptions: a ) 4 , b ) 10 , c ) 5 , d ) 9 , e ) 8", "output": [ "c" ] }, { "id": "task1421-808479741ddf42129614979ac86364e0", "input": "Problem: the ratio of income of anand to that of balu is 5 : 4 and the expenditure of anand to that of balu is 3 : 2 . if at the end of the year , each saves rs , 800 , the income of anand is : \nOptions: a ) rs 1600 , b ) rs 1800 , c ) rs 2000 , d ) rs 2200 , e ) none of these", "output": [ "c" ] }, { "id": "task1421-6b1860be78674f018ea7b564b95fca13", "input": "Problem: compound x contains elements a and b at an approximate ratio , by weight , of 2 : 10 . approximately how many grams of element b are there in 108 grams of compound x ? \nOptions: a ) 90 , b ) 162 , c ) 250 , d ) 270 , e ) 322", "output": [ "a" ] }, { "id": "task1421-3537ede4c3cb4006b050eb8da76f55f0", "input": "Problem: three numbers are in the ratio 1.5 : 2 : 3.5 and their h . c . f is 18 . the numbers are : \nOptions: a ) 22,36 , 63 , b ) 27,45 , 63 , c ) 27,54 , 63 , d ) 54 , 45 , 36 , e ) 27,36 , 63", "output": [ "e" ] }, { "id": "task1421-cb36d8d8b10749feb6a3713ea8dccd72", "input": "Problem: teas worth rs . 126 per kg and rs . 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2 . if the mixture is worth rs 157 per kg , the price of the third variety per kg will be ? \nOptions: a ) rs . 147.50 , b ) rs . 785.50 , c ) rs . 179.50 , d ) rs . 258.50 , e ) none of these", "output": [ "c" ] }, { "id": "task1421-4e1ca6c630a2423ab90836c77be95e18", "input": "Problem: find the ratio in which rice at rs . 10.0 a kg be mixed with rice at rs . 5.70 a kg to produce a mixture worth rs . 6.30 a kg ? \nOptions: a ) 1 : 3 , b ) 2 : 3 , c ) 3 : 5 , d ) 4 : 5 , e ) none of these", "output": [ "c" ] }, { "id": "task1421-ecd6b8de0f0140219c2dcc86cf05f518", "input": "Problem: if 0.5 of a number is equal to 0.09 of another number , the ratio of the numbers i \nOptions: a ) 2 : 3 , b ) 3 : 4 , c ) 3 : 20 , d ) 3 : 7 , e ) 9 : 50", "output": [ "e" ] }, { "id": "task1421-2e490132a20f4d5ebdd2eae5337df93c", "input": "Problem: a person want to give his money of $ 4500 to his 3 children a , b , c in the ratio 2 : 3 : 4 . what is the b ' s share ? \nOptions: a ) $ 2000 , b ) $ 1500 , c ) $ 2500 , d ) $ 1800 , e ) $ 1600", "output": [ "b" ] }, { "id": "task1421-d8f0b63ffe634531bf63149cc9398bcd", "input": "Problem: the h . c . f of two numbers is 23 and the other two factors of their l . c . m are 16 and 17 . the larger of the two numbers is : \nOptions: a ) 338 , b ) 278 , c ) 322 , d ) 231 , e ) 391", "output": [ "e" ] }, { "id": "task1421-c564ed9e34ac498a8c12450f8efa9e3d", "input": "Problem: 6 ) a marketing firm determined that , of 180 households surveyed , 80 used neither brand a nor brand b soap . 60 used only brand a soap and for every household that used both brands of soap , 3 used only brand b soap . how many of the 200 household surveyed used both brands of soap ? \nOptions: a ) a ) 15 , b ) b ) 20 , c ) c ) 30 , d ) d ) 10 , e ) e ) 45", "output": [ "d" ] }, { "id": "task1421-7f3a40f9ad8746d6be57d0d44cf4d557", "input": "Problem: a cat leaps 5 leaps for every 4 leaps of a dog , but 2 leaps of the dog are equal to 3 leaps of the cat . what is the ratio of the speed of the cat to that of the dog ? \nOptions: a ) 5 : 6 , b ) 3 : 2 , c ) 4 : 8 , d ) 1 : 2 , e ) 7 : 8", "output": [ "a" ] }, { "id": "task1421-2cee8d1d29624505bd92ef0154feebb4", "input": "Problem: how many multiples of 3 are there between 100 and 300 ( both are inclusive ) ? \nOptions: a ) 67.6 , b ) 1.58 , c ) 2.47 , d ) 3.54 , e ) 6.51", "output": [ "a" ] }, { "id": "task1421-a6800781346448b1acbf0bb98f01551f", "input": "Problem: the ratio of boarders to day scholars at a school is 7 to 16 . however , after a few new students join the initial 560 boarders , the ratio changed to 1 to 2 , respectively . if no boarders became day scholars and vice versa , and no students left the school , how many boarders joined the school ? \nOptions: a ) 48 , b ) 64 , c ) 70 , d ) 80 , e ) 84", "output": [ "d" ] }, { "id": "task1421-527e0670c40543c28b7a8e5f8487f940", "input": "Problem: a farmer with 1,350 acres of land had planted his fields with corn , sugar cane , and tobacco in the ratio of 5 : 3 : 1 , respectively , but he wanted to make more money , so he shifted the ratio to 2 : 4 : 3 , respectively . how many more acres of land were planted with tobacco under the new system ? \nOptions: a ) 90 , b ) 150 , c ) 270 , d ) 300 , e ) 450", "output": [ "d" ] }, { "id": "task1421-80f2ce8aec6d4055b53c468e642cec94", "input": "Problem: if log 2 = 0.30103 and log 3 = 0.4771 , find the number of digits in ( 648 ) 5 \nOptions: a ) 14.05 , b ) 14.02 , c ) 277 , d ) 288 , e ) 222", "output": [ "a" ] }, { "id": "task1421-a565637075c34c5cbf9d14033cca5851", "input": "Problem: the sub - duplicate ratio of 9 : 25 is \nOptions: a ) 4 : 3 , b ) 1 : 2 , c ) 3 : 5 , d ) 1 : 4 , e ) 2 : 3", "output": [ "c" ] }, { "id": "task1421-4c586bd8dabf4ef1b113d685bb891e5f", "input": "Problem: two numbers are in the ratio 5 : 8 and thier h . c . f is 4 . find the numbers . \nOptions: a ) 25 and 40 , b ) 20 and 32 , c ) 30 and 48 , d ) 15 and 24 , e ) 16 and 25", "output": [ "b" ] }, { "id": "task1421-6364c0f3922741d1b51b03cb6fc405df", "input": "Problem: a technology company made a $ 5 million profit on its first $ 15 million in sales and a $ 12 million profit on its next $ 30 million in sales . by what percent did the ratio of profit to sales increase from the first $ 15 million in sales to the next $ 30 million in sales ? \nOptions: a ) 10 % , b ) 20 % , c ) 30 % , d ) 40 % , e ) 50 %", "output": [ "b" ] }, { "id": "task1421-2bd5fb76368a4f4c93dd60245b9b3992", "input": "Problem: a man invests some money partly in 15 % stock at 105 and partly in 8 % stock at 40 . to obtain equal dividends from both , he must invest the money in the ratio : \nOptions: a ) 3 : 4 , b ) 3 : 5 , c ) 7 : 5 , d ) 16 : 15 , e ) none", "output": [ "c" ] }, { "id": "task1421-93f5edf103ac46e681c6496a43305acd", "input": "Problem: what is the number of integers from 1 to 1000 ( inclusive ) that are divisible by neither 11 nor by 34 ? \nOptions: a ) 884 , b ) 890 , c ) 892 , d ) 910 , e ) 945", "output": [ "b" ] }, { "id": "task1421-1c8f9f3d2fb64f23b28f8c27fa5dab78", "input": "Problem: at a certain organisation , the number of male members went up by 12 % in the year 2001 from year 2000 , and the number of females members went down by 4 % in the same time period . if the total membership at the organisation went up by 1.2 % from the year 2000 to 2001 , what was the ratio of male members to female members in the year 2000 ? \nOptions: a ) 1 : 2 , b ) 1 : 3 , c ) 2 : 3 , d ) 3 : 2 , e ) 2 : 1", "output": [ "a" ] }, { "id": "task1421-2498c36e0c8249e29f51884cc28d39d4", "input": "Problem: how many factors does 34 ^ 2 have ? \nOptions: a ) 2 , b ) 8 , c ) 20 , d ) 25 , e ) 26", "output": [ "c" ] }, { "id": "task1421-2d553fb9165e486eb295288c1be3f643", "input": "Problem: if log 2 = 0.3010 and log 3 = 0.4771 then the value of log 4.5 is : \nOptions: a ) 0.6532 , b ) 0.7727 , c ) 0.3266 , d ) 0.3796 , e ) none of these", "output": [ "a" ] }, { "id": "task1421-69c15baa402f4e179f13b7aaa7dbe7ff", "input": "Problem: a farmer used 1,034 acres of land for beans , wheat , and corn in the ratio of 5 : 2 : 4 , respectively . how many r acres were used for corn ? \nOptions: a ) 188 , b ) 258 , c ) 376 , d ) 470 , e ) 517", "output": [ "c" ] }, { "id": "task1421-9108628974004b409874e3610069caec", "input": "Problem: two vessels p and q contain 62.5 % and 87.5 % of alcohol respectively . if 4 litres from vessel p is mixed with 6 litres from vessel q , the ratio of alcohol and water in the resulting mixture is ? \nOptions: a ) 31 : 1 , b ) 31 : 4 , c ) 31 : 8 , d ) 31 : 9 , e ) 31 : 2", "output": [ "d" ] }, { "id": "task1421-e07bfcd1f76e4983b9e385d2c7b611d9", "input": "Problem: what is the number of integers from 1 to 1000 ( inclusive ) that are divisible by neither 10 nor by 35 ? \nOptions: a ) 884 , b ) 890 , c ) 892 , d ) 910 , e ) 945", "output": [ "d" ] }, { "id": "task1421-5ac286d9377540b5a8dfed0c8f8960af", "input": "Problem: the price of a car and ac are in the ratio 3 : 2 . if the scooter costs $ 500 more than the ac . then the price of the ac ? \nOptions: a ) 1500 , b ) 200 , c ) 1700 , d ) 2000 , e ) 2500", "output": [ "a" ] }, { "id": "task1421-8863797154bd449c9e403a833db7a7d7", "input": "Problem: find the ratio in which rice at rs . 7.20 a kg be mixed with rice at rs . 5.50 a kg to produce a mixture worth rs . 6.30 a kg \nOptions: a ) 2 : 0 , b ) 2 : 3 , c ) 2 : 1 , d ) 8 : 9 , e ) 2 : 8", "output": [ "d" ] }, { "id": "task1421-3708abaa28b64a9fb6fb6c5aaed05dd2", "input": "Problem: find the ratio in which rice at rs . 7.20 a kg be mixed with rice at rs . 5.60 a kg to produce a mixture worth rs . 6.30 a kg \nOptions: a ) 2 : 0 , b ) 2 : 3 , c ) 2 : 1 , d ) 2 : 2 , e ) 7 : 9", "output": [ "e" ] }, { "id": "task1421-7792ce81e3ba45c79bfd2927b4e29dea", "input": "Problem: an order was placed for the supply of a carper whose length and breadth were in the ratio of 3 : 2 . subsequently , the dimensions of the carpet were altered such that its length and breadth were in the ratio 7 : 3 but were was no change in its parameter . find the ratio of the areas of the carpets in both the cases . \nOptions: a ) 4 : 3 , b ) 8 : 7 , c ) 4 : 1 , d ) 6 : 5 , e ) none of these", "output": [ "b" ] }, { "id": "task1421-7a67a041b1844fbeb781e88d65296807", "input": "Problem: the h . c . f . of two numbers is 20 and the other two factors of their l . c . m . are 13 and 14 . the larger of the two numbers is : \nOptions: a ) 276 , b ) 280 , c ) 322 , d ) 345 , e ) 354", "output": [ "b" ] }, { "id": "task1421-fa175d614cdb4a8fbce31183adb84479", "input": "Problem: a family has two children . find the probability that both the children are girls given that at least one of them is a girl ? \nOptions: a ) 1 / 5 , b ) 1 / 3 , c ) 3 / 7 , d ) 2 / 7 , e ) 3 / 7", "output": [ "b" ] }, { "id": "task1421-02c453f415204875b1bdd2ab560c2faa", "input": "Problem: the ratio of incomes of two person p 1 and p 2 is 5 : 4 and the ratio of their expenditures is 3 : 2 . if at the end of the year , each saves rs . 1600 , then what is the income of p 1 ? \nOptions: a ) rs . 800 , b ) rs . 2400 , c ) rs . 4000 , d ) rs . 3200 , e ) rs . 4200", "output": [ "c" ] }, { "id": "task1421-5951fb34cf724b2694cdf8e63010d8f8", "input": "Problem: in a class , 12 students like to play basketball and 8 like to play cricket . 3 students like to play on both basketball and cricket . how many students like to play basketball or cricket or both ? \nOptions: a ) 12 , b ) 15 , c ) 17 , d ) 18 , e ) 22", "output": [ "c" ] }, { "id": "task1421-b29aeb74d4824a109839fc14391fed04", "input": "Problem: apple costs l rupees per kilogram for first 30 kgs and q rupees per kilogram for each additional kilogram . if the price of 33 kilograms is 11.67 and for 36 kgs of apples is 12.48 then the cost of first 10 kgs of apples is \nOptions: a ) 3.69 , b ) 3.66 , c ) 3.6 , d ) 3.62 , e ) 3.61", "output": [ "d" ] }, { "id": "task1421-13d5b12832b744fdadfd7578d2bdc115", "input": "Problem: in a graduating class of 242 students , 144 took geometry and 119 took biology . what is the difference between the greatest possible number and the smallest possible number of students that could have taken both geometry and biology ? \nOptions: a ) 144 , b ) 119 , c ) 113 , d ) 88 , e ) 123", "output": [ "e" ] }, { "id": "task1421-7b1ab76463414f6c8e79ce58fa68e4f5", "input": "Problem: there are 172 lights which are functional and each is controlled by a separate on / off switch . two children a and b start playing with the switches . a starts by pressing every third switch till he reaches the end . b , 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 ) 83 , b ) 85 , c ) 87 , d ) 79 , e ) 89", "output": [ "d" ] }, { "id": "task1421-ce3d395d36784e4b9630a43c6368f69d", "input": "Problem: in a certain animal shelter , the ratio of the number of catsto the number of dogs is 15 to 7 . if 16 additional dogs were to be taken in by the shelter , the ratio of the number of cats to the number of dogs would be 15 to 11 . how many cats are in the shelter ? \nOptions: a ) 15 , b ) 25 , c ) 30 , d ) 45 , e ) 60", "output": [ "d" ] }, { "id": "task1421-988cd47d67b24b0b8ec54fac422f60e8", "input": "Problem: in a bag , there are 2400 ball , and their colors are red , green blue . . the ratio of the balls are 15 : 13 : 17 . then how many red color balls are available in the bag ? \nOptions: a ) 900 , b ) 1600 , c ) 750 , d ) 890 , e ) 1010", "output": [ "a" ] }, { "id": "task1421-94f2ef6ca2ae41d38e785857dd52872e", "input": "Problem: two vessels p and q contain 62.5 % and 87.5 % of alcohol respectively . if 2 litres from vessel p is mixed with 8 litres from vessel q , the ratio of alcohol and water in the resulting mixture is ? \nOptions: a ) 33 : 1 , b ) 33 : 7 , c ) 33 : 8 , d ) 33 : 5 , e ) 33 : 2", "output": [ "b" ] }, { "id": "task1421-56e27da672ac479182b0b41944d42f08", "input": "Problem: if 63 percent of a class answered the first question on a certain test correctly , 50 percent answered the second question on the test correctly , and 20 percent answered neither of the questions correctly , what percent answered both correctly ? \nOptions: a ) 24 % , b ) 27 % , c ) 30 % , d ) 33 % , e ) 36 %", "output": [ "d" ] }, { "id": "task1421-761b34145fee485ba1a0b93931496768", "input": "Problem: there 3 kinds of books in the library physics , chemistry and biology . ratio of physics to chemistry is 3 to 2 ; ratio of chemistry to biology is 4 to 3 , and the total of the books is more than 3000 . which one of following can be the total w of the book ? \nOptions: a ) 3003 , b ) 3027 , c ) 3024 , d ) 3021 , e ) 3018", "output": [ "a" ] }, { "id": "task1421-295e60bef82b493597cd5c66cf236c7e", "input": "Problem: john , james and jim ' investment ratio in a business is 4 : 7 : 9 . if total total investment is 80000 . find jim ' s investment ? \nOptions: a ) 35000 , b ) 40000 , c ) 16000 , d ) 36000 , e ) 60000", "output": [ "d" ] }, { "id": "task1421-f4948f7fa7bf4b72bf125d957bc4094f", "input": "Problem: share rs . 5400 among john , jose & binoy in the ration 2 : 4 : 6 . find the amount received by john ? \nOptions: a ) 1800 , b ) 980 , c ) 1200 , d ) 1240 , e ) 1400", "output": [ "a" ] }, { "id": "task1421-6bded0fb31c34187a7f3af1479b22b8f", "input": "Problem: in a class of 52 students , 12 enrolled for both english and german . 22 enrolled for german . if the students of the class enrolled for at least one of the two subjects , then how many students enrolled for only english and not german ? \nOptions: a ) 30 , b ) 10 , c ) 18 , d ) 28 , e ) 32", "output": [ "a" ] }, { "id": "task1421-a5e243efb3dd4b1c9cf759d9fd12a164", "input": "Problem: how many different positive integers are factors of 20 ? \nOptions: a ) 6 , b ) 8 , c ) 4 , d ) 10 , e ) 12", "output": [ "c" ] }, { "id": "task1421-cf822b82d0f74abb99e911e502ad7ece", "input": "Problem: the h . c . f . of two numbers is 23 and the other two factors of their l . c . m . are 13 and 17 . the larger of the two numbers is : \nOptions: a ) 276 , b ) 299 , c ) 391 , d ) 345 , e ) 355", "output": [ "c" ] }, { "id": "task1421-178d0f529ef846e2a6c2ff0b78ad4df5", "input": "Problem: if exactly 7 guests drank only one of the two types of drinks , how many guests drank both types of drinks ? \nOptions: a ) 5 , b ) 6 , c ) 7 , d ) 4 , e ) 2", "output": [ "e" ] }, { "id": "task1421-598e3b1832194de7a0684178233b397e", "input": "Problem: a hare and a jackal are running a race . 3 leaps of the hare are equal to 4 leaps of the jackal . for every 6 leaps of the hare , the jackal takes 7 leaps . find the ratio of the speed of the hare to the speed of the jackal . \nOptions: a ) 64 : 25 , b ) 8 : 7 , c ) 5 : 8 , d ) 25 : 64 , e ) 6 : 7", "output": [ "b" ] }, { "id": "task1421-60cbd21097d84df495c97b093fc2f077", "input": "Problem: x starts a business with rs . 45000 . y joins in the business after 3 months with rs . 36000 . what will be the ratio in which they should share the profit at the end of the year ? \nOptions: a ) 20 : 9 , b ) 2 : 1 , c ) 3 : 2 , d ) 2 : 3 , e ) 5 : 3", "output": [ "a" ] }, { "id": "task1421-2c9b7e441da848f091165c2c8ccf514b", "input": "Problem: a certain store sold pens for $ 0.35 each and pencils for $ 0.25 each . if a customer purchased both pens and pencils from the store for a total of $ 1.60 , what total number of pens and pencils did the customer purchase ? \nOptions: a ) 6 , b ) 9 , c ) 10 , d ) 11 , e ) 12", "output": [ "a" ] }, { "id": "task1421-fb60a744973249c893d42a005b60c809", "input": "Problem: the ratio of type of pen and type of notebook is 5 : 4 . and in 80 ways one can start writing . tell me the no . of pen and no . of notebook . \nOptions: a ) 6,12 , b ) 10,6 , c ) 10,8 , d ) 8,4 , e ) 6,8", "output": [ "c" ] }, { "id": "task1421-2b55992cbca64700aa20aab31303c1e2", "input": "Problem: of 60 children , 30 are happy , 10 are sad , and 20 are neither happy nor sad . there are 17 boys and 43 girls . if there are 6 happy boys and 4 sad girls , how many boys are neither happy nor sad ? \nOptions: a ) 5 , b ) 4 , c ) 6 , d ) 8 , e ) 10", "output": [ "a" ] }, { "id": "task1421-5af1acc25960401c948e300e4e68c574", "input": "Problem: find the greatest common factor ( gfc ) of 24 , 40 and 60 . \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "d" ] }, { "id": "task1421-f74aceca3cbb41edad08fb5596ee1405", "input": "Problem: the ratio between the number of sheep and the number of horses at the stewart farm is 5 to 7 , if each horse is fed 230 ounces of horse food per day and the farm needs a total 12,880 ounces of horse food per day , what is the number of sheep in the farm ? \nOptions: a ) 18 , b ) 28 , c ) 40 , d ) 56 , e ) 60", "output": [ "c" ] }, { "id": "task1421-40029545d73141eea6710d21eccb3c44", "input": "Problem: the ratio between the number of sheep and the number of horses at the stewart farm is 1 to 7 , if each horse is fed 230 ounces of horse food per day and the farm needs a total 12,880 ounces of horse food per day , what is the number of sheep in the farm ? \nOptions: a ) 18 , b ) 28 , c ) 32 , d ) 56 , e ) 8", "output": [ "e" ] }, { "id": "task1421-ea891474c0f44594950741fc2c46cf5d", "input": "Problem: the ratio of the incomes of rajan and balan is 7 : 6 and the ratio of their expenditure is 6 : 5 . if at the end of the year , each saves $ 1000 then the income of rajan is ? \nOptions: a ) $ 7600 , b ) $ 7000 , c ) $ 8000 , d ) $ 9000 , e ) $ 5000", "output": [ "b" ] }, { "id": "task1421-f4c8bf4477b54eca9c28bb962f0c1b72", "input": "Problem: the ratio between the sale price and the cost price of an article is 8 : 5 . what is the ratio between the profit and the cost price of that article ? \nOptions: a ) 23 , b ) 1 : 2 , c ) 2 : 5 , d ) 3 : 5 , e ) 25", "output": [ "d" ] }, { "id": "task1421-420adc3566954befa0ea47e3ab1492f3", "input": "Problem: if the numbers 1 to 97 are written on 97 pieces of paper , ( one on each ) and one piece is picked at random , then what is the probability that the number drawn is neither prime nor composite ? \nOptions: a ) 1 / 50 , b ) 1 / 25 , c ) 1 / 97 , d ) 1 , e ) 2", "output": [ "c" ] }, { "id": "task1421-981d24ff5369410c95b9aa1a59c890b2", "input": "Problem: the ratio of pens to pencils is 5 to 6 . there are 7 more pencils than pens . how many pencils are there ? \nOptions: a ) 36 , b ) 42 , c ) 48 , d ) 55 , e ) 64", "output": [ "b" ] }, { "id": "task1421-1d4160ac615a463eba15159d48838d93", "input": "Problem: in a family 13 people eat only vegetarian , 7 people eat only non veg . , 8 people eat both veg and non veg . . how many people eat veg in the family ? \nOptions: a ) 20 , b ) 11 , c ) 9 , d ) 31 , e ) 21", "output": [ "e" ] }, { "id": "task1421-1bf0d5562bf74bdabb605dea9c187c2b", "input": "Problem: find the ratio in which rice at rs . 7.20 a kg be mixed with rice at rs . 5.80 a kg to produce a mixture worth rs . 6.30 a kg ? \nOptions: a ) 5 : 9 , b ) 2 : 3 , c ) 3 : 4 , d ) 4 : 5 , e ) none of these", "output": [ "a" ] }, { "id": "task1421-cae75a28420b4aac9a7335499590e7eb", "input": "Problem: a bottle contains a certain solution . in the bottled solution , the ratio of water to soap is 3 : 2 , and the ratio of soap to salt is seven times this ratio . the solution is poured into an open container , and after some time , the ratio of water to soap in the open container is halved by water evaporation . at that time , what is the ratio of water to salt in the solution ? \nOptions: a ) 1 : 1 , b ) 2 : 3 , c ) 3 : 2 , d ) 9 : 4 , e ) 63 : 8", "output": [ "e" ] }, { "id": "task1421-e016db2dca47425ca1b959f24a4ce205", "input": "Problem: right now , the ratio between the ages of sandy and molly is 4 : 3 . after 6 years , sandy ’ s age will be 38 years . what is molly ' s age right now ? \nOptions: a ) 15 , b ) 18 , c ) 21 , d ) 24 , e ) 27", "output": [ "d" ] }, { "id": "task1421-eeaae9deee054a7a939fb203bdeb84e5", "input": "Problem: the ratio of boys to girls is 6 : 4.60 % of the boys and 40 % of girls take lunch in the canteen . what % of class takes lunch ? \nOptions: a ) 51 % , b ) 52 % , c ) 53 % , d ) 54 % , e ) 55 %", "output": [ "b" ] }, { "id": "task1421-6f0e5c97f8c0407c97a559b8ebff16cc", "input": "Problem: the ratio of two quantities is 7 to 12 . if each of the quantities is divided by 3 , what is the ratio of these 2 new quantities ? \nOptions: a ) 3.5 : 6 , b ) 14 : 24 , c ) 7 : 12 , d ) 2.3 : 4 , e ) it can not be determined from the information given", "output": [ "c" ] }, { "id": "task1421-8b469bbfc8f642709e7e8702c52e9678", "input": "Problem: in a certain town , the ratio of ny yankees fans to ny mets fans is 3 : 2 , and the ratio of ny mets fans to boston red sox fans is 4 : 5 . if there are 360 baseball fans in the town , each of whom is a fan of exactly one of those three teams , how many ny mets fans are there in this town ? \nOptions: ['a ) 96', 'b ) 108', 'c ) 120', 'd ) 132', 'e ) 140']", "output": [ "a" ] }, { "id": "task1421-5e28435b2a1b4b3d9e1a80ae5a172a22", "input": "Problem: two alloys a and b are composed of two basic elements . the ratios of the compositions of the two basic elements in the two alloys are 5 : 3 and 1 : 5 , respectively . a new alloy x is formed by mixing the two alloys a and b in the ratio 4 : 3 . what is the ratio of the composition of the two basic elements in alloy x ? \nOptions: a ) 1 : 1 , b ) 3 : 4 , c ) 5 : 2 , d ) 4 : 3 , e ) 7 : 9", "output": [ "b" ] }, { "id": "task1421-703a7af6d7604fc9bedabc5ed3f37022", "input": "Problem: each factor of 290 is inscribed on its own plastic ball , and all of the balls are placed in a jar . if a ball is randomly selected from the jar , what is the probability that the ball is inscribed with a multiple of 42 ? \nOptions: a ) 1 / 16 , b ) 5 / 42 , c ) 16 , d ) 3 / 16 , e ) 1 / 4", "output": [ "c" ] }, { "id": "task1421-49c558f8d3f54080a01aa2e7d1781bca", "input": "Problem: how many integers from 1 to 100 ( both inclusive ) have odd number of factors ? \nOptions: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) greater than 10", "output": [ "d" ] }, { "id": "task1421-a0dbac6c36894864a1004cb71be3792a", "input": "Problem: two family reunions are happening at the taj hotel , the oates reunion and the hall reunion . all 150 guests at the hotel attend at least one of the reunions . if 70 people attend the oates reunion and 52 people attend the hall reunion , how many people attend both reunions ? \nOptions: a ) 2 , b ) 5 , c ) 10 , d ) 16 , e ) 28", "output": [ "e" ] }, { "id": "task1421-c344b93161a94f97a5d1ef2134b2689f", "input": "Problem: at a certain organisation , the number of male members went up by 15 % in the year 2001 from year 2000 , and the number of females members went down by 6 % in the same time period . if the total membership at the organisation went up by 1.2 % from the year 2000 to 2001 , what was the ratio of male members to female members in the year 2000 ? \nOptions: a ) 1 : 2 , b ) 1 : 3 , c ) 2 : 3 , d ) 3 : 2 , e ) 2 : 1", "output": [ "a" ] }, { "id": "task1421-d853efd206b04e3db074a2318fe587bb", "input": "Problem: in gabriel ' s sheep herd , every sheep has either fleas or lice or both . half of the sheep have lice , and 84 sheep have both pests . if 94 sheep have lice , how many sheep have only fleas ? \nOptions: a ) 10 , b ) 20 , c ) 84 , d ) 94 , e ) 178", "output": [ "a" ] }, { "id": "task1421-994aafa1bd334f2b8039f6e437581eaf", "input": "Problem: the l . c . m of two numbers is 48 . the numbers are in the ratio 1 : 4 . the sum of numbers is : \nOptions: a ) 28 , b ) 30 , c ) 40 , d ) 50 , e ) 60", "output": [ "e" ] }, { "id": "task1421-70140afbccfb4c07941d0b79705d0af1", "input": "Problem: the h . c . f of two numbers is 23 and the other two factors of their l . c . m are 13 and 14 . the larger of the two numbers is : \nOptions: a ) 338 , b ) 278 , c ) 322 , d ) 231 , e ) 121", "output": [ "c" ] }, { "id": "task1421-2dedbe18e3cd4bceb87bbfca4f0c6ee7", "input": "Problem: x starts a business with rs . 35000 . y joins in the business after 3 months with rs . 25000 . what will be the ratio in which they should share the profit at the end of the year ? \nOptions: a ) 28 : 15 , b ) 29 : 16 , c ) 25 : 23 , d ) 14 : 15 , e ) none of these", "output": [ "a" ] }, { "id": "task1421-a6214a98aa7346328e7b6f55264cf5f7", "input": "Problem: a company conducted a survey about its two brands , a and b . x percent of respondents liked product a , ( x – 20 ) percent liked product b , 23 percent liked both products , and 23 percent liked neither product . what is the minimum number f of people surveyed by the company ? \nOptions: a ) 46 , b ) 80 , c ) f = 90 , d ) f = 100 , e ) 200", "output": [ "d" ] }, { "id": "task1421-77d9918982b242868d314d3bb5faf1e5", "input": "Problem: if two dice are thrown together , the probability of getting an even number on both dice is \nOptions: a ) 1 / 4 , b ) 1 / 5 , c ) 1 / 6 , d ) 1 / 3 , e ) 1 / 2", "output": [ "a" ] }, { "id": "task1421-b0acc2a90eb2408ba271e93468f3aaad", "input": "Problem: if the radii of umbra and penumbra cast by an object on a wall are of the ratio 2 : 6 , what is the area of the penumbra ring around the umbra of the latter ’ s radius is 40 cms ? \nOptions: ['a ) 40288.57 cm ^ 2', 'b ) 40388.57 cm ^ 2', 'c ) 40488.57 cm ^ 2', 'd ) 40588.57 cm ^ 2', 'e ) 40688.57 cm ^ 2']", "output": [ "a" ] }, { "id": "task1421-216bd1d3a7c5423b867c8e2b867f8ec6", "input": "Problem: a bag contains 7 black and 8 white balls . if two balls are drawn simultaneously , what is the probability that both are of the same color is ? \nOptions: a ) 1 / 2 , b ) 1 / 3 , c ) 2 / 3 , d ) 3 / 5 , e ) 7 / 15", "output": [ "e" ] }, { "id": "task1421-a4aa2c831d024504b812291e4cb4c344", "input": "Problem: madhav ranks seventeenth in a class of thirtyone . what is his rank from the last ? \nOptions: a ) 13 , b ) 14 , c ) 15 , d ) 16 , e ) 17", "output": [ "c" ] }, { "id": "task1421-8cc9a7d9068143c7a2b8e38d6720bc67", "input": "Problem: if the ratio of two number is 6 : 7 and lcm of the number is 450 then what is the number . \nOptions: a ) 11 , b ) 20 , c ) 25 , d ) 30 , e ) 35", "output": [ "a" ] }, { "id": "task1421-2aadf58d08c649cb995f941854a39d5f", "input": "Problem: a bag contains 4 green and 8 white balls . if two balls are drawn simultaneously , the probability that both are of the same colour is \nOptions: a ) 8 / 15 , b ) 2 / 5 , c ) 3 / 5 , d ) 11 / 15 , e ) 17 / 33", "output": [ "e" ] }, { "id": "task1421-697851182e2b4fbc96b9ead17fc0d963", "input": "Problem: in a group of 100 people , 55 have visited iceland and 43 have visited norway . if 61 people have visited both iceland and norway , how many people have visited neither country ? \nOptions: a ) 60 , b ) 61 , c ) 62 , d ) 63 , e ) 64", "output": [ "d" ] }, { "id": "task1421-9efbd1f696a6421f9d1f2c8c8ee9e50c", "input": "Problem: in the year 1990 there are 5000 men 3000 women 2000 boys . in 1994 men are increased by 20 % women are increased by ratio of boys and women ? \nOptions: a ) 11000 , b ) 12000 , c ) 13000 , d ) 14000 , e ) 15000", "output": [ "c" ] }, { "id": "task1421-e0e07a4f280c49ad8129a3bb07d3317c", "input": "Problem: two numbers are in the ratio of 5 : 7 . if 7 is subtracted from each number , they are in the ratio of 2 : 3 . what are the two numbers ? \nOptions: a ) 35 , 49 , b ) 40 , 56 , c ) 45 , 63 , d ) 50 , 70 , e ) 55 , 77", "output": [ "a" ] }, { "id": "task1421-dbfe92a5331642df95464e0ab72f8e1b", "input": "Problem: two vessels having volumes in the ratio 3 : 5 are filled with water and milk solutions . the ratio of milk and water in the two vessels are 1 : 2 and 6 : 4 respectively . if the contents of both the vessel are empties into a larger vessel , find the ratio of milk and water in the larger vessel . \nOptions: a ) 1 : 1 , b ) 2 : 1 , c ) 3 : 1 , d ) 5 : 1 , e ) 6 : 1", "output": [ "a" ] }, { "id": "task1421-7b259ddf1141403e961afb53bab103b8", "input": "Problem: the h . c . f of two numbers is 23 and the other two factors of their l . c . m are 11 and 12 . the larger of the two numbers is : \nOptions: a ) 338 , b ) 276 , c ) 322 , d ) 231 , e ) 121", "output": [ "b" ] }, { "id": "task1421-67e5c31b325f48a99b19a05c8b9492e6", "input": "Problem: 60 kg of an alloy a is mixed with 100 kg of alloy b . if alloy a has lead and tin in the ratio 3 : 2 and alloy b has tin and copper in the ratio 1 : 4 , then the amount of tin in the new alloy is ? \nOptions: a ) 24 kg , b ) 44 kg , c ) 20 kg , d ) 30 kg , e ) 52 kg", "output": [ "b" ] }, { "id": "task1421-51999eef2bcb441db0659113c797a53b", "input": "Problem: in a college students can play cricket or basketball . 500 play cricket . 220 played both and 600 played basketball . what is the total strength of college ? \nOptions: a ) 800 , b ) 880 , c ) 920 , d ) 950 , e ) 980", "output": [ "b" ] }, { "id": "task1421-8016f0c4b77e4eb785fdbd3642a33bce", "input": "Problem: sachin is younger than rahul by 6 years . if the ratio of their ages is 7 : 9 , find the age of sachin \nOptions: a ) 24.58 , b ) 14 , c ) 15 , d ) 24.9 , e ) 24.1", "output": [ "c" ] }, { "id": "task1421-d04fcf3ab42f41fc8148405f763cb269", "input": "Problem: 135 kg of an alloy a is mixed with 145 kg of alloy b . if alloy a has lead and tin in the ratio 3 : 5 and alloy b has tin and copper in the ratio 2 : 3 , then the amount of tin in the new alloy is ? \nOptions: a ) 100.6 kg , b ) 142 kg , c ) 135 kg , d ) 110.8 kg , e ) 114 kg", "output": [ "b" ] }, { "id": "task1421-c526d7d35f104eab84a55901f25f8ef3", "input": "Problem: in a college the ratio of the numbers of boys to the girls is 8 : 5 . if there are 135 girls , the total number of students in the college is ? \nOptions: a ) 562 , b ) 351 , c ) 452 , d ) 416 , e ) 512", "output": [ "b" ] }, { "id": "task1421-09a059834d5243b79a7fa5b1adfae2c8", "input": "Problem: on multiplying a number a by 153 , the result obtained was 102325 . however , it is found that both the 2 ' s are wrong . find the correct result . \nOptions: a ) 104345 , b ) 107375 , c ) 108385 , d ) 109395 , e ) 105355", "output": [ "d" ] }, { "id": "task1421-5e2785074e6a46ed80f42fa1f3721813", "input": "Problem: the diluted wine contains only 8 liters of wine and the rest is water . a new mixture whose concentration is 30 % , is to be formed by replacing wine . how many liters of mixture shall be replaced with pure wine if there was initially 32 liters of water in the mixture ? \nOptions: a ) 2 , b ) 5 , c ) 6 , d ) 7 , e ) 8", "output": [ "b" ] }, { "id": "task1421-10d92b0b71c34009aab8751d97f6a694", "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 numbers will be 3 ? \nOptions: a ) 3 / 14 , b ) 2 / 7 , c ) 1 / 3 , d ) 1 / 42 , e ) 12 / 21", "output": [ "d" ] }, { "id": "task1421-fccec6d413074e018456f901322f5098", "input": "Problem: out of 460 students of a school , 325 play football , 175 play cricket and 50 neither play football nor cricket . how many students play both football and cricket ? \nOptions: a ) 120 , b ) 150 , c ) 100 , d ) 180 , e ) 90", "output": [ "e" ] }, { "id": "task1421-97878e930fa34b1685bb52ea107b3b57", "input": "Problem: a company conducted a survey about its two brands , a and b . x percent of respondents liked product a , ( x – 20 ) percent liked product b , 23 percent liked both products , and 23 percent liked neither product . what is the minimum number g of people surveyed by the company ? \nOptions: a ) 46 , b ) g = 80 , c ) g = 90 , d ) g = 100 , e ) 200", "output": [ "d" ] }, { "id": "task1421-fc4297735cc342de9698ccdfd429432e", "input": "Problem: the duplicate ratio of 2 : 6 is ? \nOptions: a ) 1 : 2 , b ) 1 : 4 , c ) 1 : 9 , d ) 1 : 18 , e ) 1 : 13", "output": [ "c" ] }, { "id": "task1421-be4ee51c0c7e493b8a0a2673aeafdf0f", "input": "Problem: if log 1087.5 = 3.9421 , then the number of digits in ( 875 ) 10 is ? \nOptions: a ) 30 , b ) 28 , c ) 27 , d ) 50 , e ) 25", "output": [ "d" ] }, { "id": "task1421-878519b1c10144b387defc62e7eaa80e", "input": "Problem: in a class of 45 students , 12 enrolled for both english and german . 22 enrolled for german . if the students of the class enrolled for at least one of the two subjects , then how many students enrolled for only english and not german ? \nOptions: a ) 30 , b ) 10 , c ) 18 , d ) 23 , e ) 32", "output": [ "d" ] }, { "id": "task1421-d7679cf1075d4d3ca92ee3c3ea64c5ff", "input": "Problem: if $ 1092 are divided between worker a and worker b in the ratio 5 : 8 , what is the share that worker b will get ? \nOptions: a ) 60.32 % , b ) 61.54 % , c ) 62.21 % , d ) 62.76 % , e ) 63.87 %", "output": [ "b" ] }, { "id": "task1421-b22c0edc1ed64dc39e8bc178a418035e", "input": "Problem: the number of sailors on a ship is 82 % more than the number of officers . the ratio of sailors to officers would be \nOptions: a ) 33 : 25 , b ) 47 : 20 , c ) 47 : 25 , d ) 22 : 25 , e ) 91 : 50", "output": [ "e" ] }, { "id": "task1421-9d7d4593e10d4120bb1a62baff41d2e4", "input": "Problem: in a ratio which is equal to 4 : 6 , if the antecedent is 20 , then the consequent is ? \nOptions: a ) 72 , b ) 85 , c ) 30 , d ) 51 , e ) 45", "output": [ "c" ] }, { "id": "task1421-1ce85e34013c4fd488863fce2ad803d4", "input": "Problem: the probability of two events a and b are 0.25 and 0.35 respectively . the probability that both a and b occur is 0.15 . the probability that neither a nor b occur is _________ \nOptions: a ) 0.55 , b ) 0.4 , c ) 0.5 , d ) 0.05 , e ) 0.6", "output": [ "a" ] }, { "id": "task1421-4183cf0ba1ab45b694e942460a20e70a", "input": "Problem: in a graduating class of 232 students , 144 took geometry and 119 took biology . what is the difference between the greatest possible number w and the smallest possible number of students that could have taken both geometry and biology ? \nOptions: a ) 144 , b ) 119 , c ) 113 , d ) 88 , e ) 31", "output": [ "d" ] }, { "id": "task1421-a51ecf4068de4cd38c1991e6d893a152", "input": "Problem: share rs . 4800 among john , jose & binoy in the ration 2 : 4 : 6 . find the amount received by john ? \nOptions: a ) 900 , b ) 980 , c ) 1600 , d ) 1240 , e ) 1400", "output": [ "c" ] }, { "id": "task1421-00db5c7ce2f9475e9eb48f60bcea781b", "input": "Problem: a hen leaps 6 leaps for every 8 leaps of a duck , but 4 leaps of the duck are equal to 3 leaps of the hen . what is the ratio of the speed of the hen to that of the duck ? \nOptions: a ) 1 : 1 , b ) 3 : 8 , c ) 4 : 3 , d ) 8 : 9 , e ) 1 : 3", "output": [ "a" ] }, { "id": "task1421-1143bb3c3cfb43b7ad9bd51d72f05222", "input": "Problem: the sub - duplicate ratio of 16 : 36 is \nOptions: a ) 4 : 6 , b ) 1 : 2 , c ) 1 : 3 , d ) 1 : 4 , e ) 2 : 3", "output": [ "a" ] }, { "id": "task1421-977baa764a1e45ba96273aa56e6f74c2", "input": "Problem: water consists of hydrogen and oxygen , and the approximate ratio , by mass , of hydrogen to oxygen is 2 : 16 . approximately how many grams of oxygen are there in 180 grams of water ? \nOptions: a ) 160 , b ) 72 , c ) 112 , d ) 128 , e ) 142", "output": [ "a" ] }, { "id": "task1421-05b3941a5e4e437e9bbe9217f163fde4", "input": "Problem: in a class of 50 students , 20 play baseball , 15 play cricket and 11 play football . 7 play both baseball and cricket , 4 play cricket and football and 5 play baseball and football . if 18 students do not play any of these given sports , how many students play exactly two of these sports ? \nOptions: a ) 10 , b ) 46 , c ) 67 , d ) 68 , e ) 446", "output": [ "a" ] }, { "id": "task1421-59707eed1a4245caba02bacd410c7781", "input": "Problem: how many factors does 49 ^ 2 have ? \nOptions: a ) 2 , b ) 8 , c ) 24 , d ) 25 , e ) 36", "output": [ "e" ] }, { "id": "task1421-cd48d6c6993d44b588fe177219c3e75a", "input": "Problem: out of 250 students of a college , 160 play football , 90 play cricket and 50 neither play football nor cricket . how many students play both football and cricket ? \nOptions: a ) 30 , b ) 40 , c ) 50 , d ) 60 , e ) 70", "output": [ "c" ] }, { "id": "task1421-4ae9fe69456d4a1a86bcbc1659b114d3", "input": "Problem: at present the ratio between the ages of arun and deepak is 5 : 7 . after 6 years , arun ' s age will be 36 years . what is the age of deepak at present ? \nOptions: a ) 35 years , b ) 25 years , c ) 42 years , d ) 39 years , e ) 40 years", "output": [ "c" ] }, { "id": "task1421-04b283ab99d6430b85c66ac82a563307", "input": "Problem: in a ratio which is equal to 7 : 9 , if the antecedent is 56 , then the consequent is ? \nOptions: a ) 72 , b ) 85 , c ) 64 , d ) 51 , e ) 45", "output": [ "a" ] }, { "id": "task1421-bf1962eb76cc4eb7ab4823dd20945cb0", "input": "Problem: initially , the men and women in a room were in the ratio of 4 : 5 . then , 2 men entered the room and 3 women left the room . then , the number of women doubled . now there are 14 men in the room . how many w women are currently in the room ? \nOptions: a ) 12 , b ) 14 , c ) 15 , d ) 24 , e ) 36", "output": [ "d" ] }, { "id": "task1421-f5402dc9055c400096bc5421ebd8be66", "input": "Problem: divide rs . 32000 in the ratio 3 : 7 ? \nOptions: a ) 12000 , 20000 , b ) 9600 , 22400 , c ) 12000 , 20007 , d ) 12000 , 20006 , e ) 12000 , 20001", "output": [ "b" ] }, { "id": "task1421-3bd5fda315f642dab52fd098468d2d68", "input": "Problem: a bag contains 4 red , 4 blue and 2 green balls . if 2 ballsare picked at random , what is the probability that both are red ? \nOptions: a ) 2 / 15 , b ) 2 / 21 , c ) 5 / 26 , d ) 3 / 29 , e ) 4 / 27", "output": [ "a" ] }, { "id": "task1421-e016349bbbbe45c2b859fc4d1ec506f5", "input": "Problem: if 2.5 of a number is equal to 0.75 of another number , the ratio of the numbers is : \nOptions: a ) 2 : 3 , b ) 3 : 4 , c ) 3 : 10 , d ) 20 : 3 , e ) 30 : 7", "output": [ "c" ] }, { "id": "task1421-afc7f69bbeed46179f31e91e83c64630", "input": "Problem: of the diplomats who attended a summit conference : 20 spoke french , 32 did not speak hindi and 20 % of the diplomats spoke neither french nor hindi . if 10 % of the diplomats spoke both french and hindi , then how many diplomats attended the conference ? \nOptions: a ) 70 , b ) 96 , c ) 108 , d ) 120 , e ) 150", "output": [ "d" ] }, { "id": "task1421-541aea88eb034603b7649a73c1431286", "input": "Problem: in township k , 1 / 5 of the housing units are equipped with cable television . if 1 / 10 of the housing units , including 1 / 3 of those that are equipped with cable television , are equipped with videocassette recorders , what fraction of the housing units have neither cable television nor videocassette recorders ? \nOptions: a ) 23 / 30 , b ) 11 / 15 , c ) 7 / 10 , d ) 1 / 6 , e ) 2 / 15", "output": [ "a" ] }, { "id": "task1421-a918c1609e784df18db581c428c323d2", "input": "Problem: tea worth rs . 126 per kg and rs . 135 per kg are mixed with a third variety of tea in the ratio 1 : 1 : 2 . if the mixture is worth rs . 153 per kg , what is the price of the third variety per kg ? \nOptions: a ) 175.5 , b ) 182.5 , c ) 170.0 , d ) 180.0 , e ) 190.0", "output": [ "a" ] }, { "id": "task1421-0a200961565d4bd19adc9526e09e8adf", "input": "Problem: the ratio of spinsters to cats is 2 to 7 . if there are 35 more cats than spinsters , how many spinsters are there ? \nOptions: a ) 14 , b ) 21 , c ) 28 , d ) 35 , e ) 42", "output": [ "a" ] }, { "id": "task1421-cb780a3dd39c43dcb3af18fa62a8d0f1", "input": "Problem: he ratio between the sale price and the cost price of an article is 4 : 7 . what is the ratio between the profit and the cost price of that article ? \nOptions: a ) 2 : 6 , b ) 3 : 7 , c ) 3 : 8 , d ) 2 : 1 , e ) 8 : 3", "output": [ "b" ] }, { "id": "task1421-34edbcaa5b3041ddae2b6c9525ba4b36", "input": "Problem: in a group of 25 , 13 can speak latin , 15 can speak french , and 6 do n ' t speak either . how many of these speak both latin and french ? \nOptions: a ) 9 , b ) 10 , c ) 11 , d ) 12 , e ) 8", "output": [ "a" ] }, { "id": "task1421-6344f8fc2d2a4cbf8ea8d603569c991f", "input": "Problem: how many prime numbers between 1 and 100 are factors of 210 ? \nOptions: a ) 5 , b ) 4 , c ) 3 , d ) 2 , e ) 1", "output": [ "b" ] }, { "id": "task1421-9be0599cfb8e4a62b462cf7d1ce3454b", "input": "Problem: of the diplomats who attended a summit conference : 20 spoke french , 32 did not speak english and 20 % of the diplomats spoke neither french nor english . if 10 % of the diplomats spoke both french and english , then how many diplomats attended the conference ? \nOptions: a ) 70 , b ) 96 , c ) 108 , d ) 120 , e ) 150", "output": [ "d" ] }, { "id": "task1421-a306b1b591c043009c5caef7c8217e59", "input": "Problem: a movie buff buys movies on dvd and on blu - ray in a ratio of 17 : 4 . if she returns 4 blu - ray movies , that ratio would change to 9 : 2 . if she buys movies on no other medium , what was the original number of movies purchased ? \nOptions: a ) 22 , b ) 28 , c ) 77 , d ) 99 , e ) 378", "output": [ "e" ] }, { "id": "task1421-b3f005cb852940778450056ee828d1b1", "input": "Problem: the marks obtained by polly and sandy are in the ratio 4 : 5 and those obtained by sandy and willy are in the ratio of 5 : 2 . the marks obtained by polly and willy are in the ratio of . . . ? \nOptions: a ) 2 : 1 , b ) 3 : 2 , c ) 4 : 3 , d ) 5 : 4 , e ) 6 : 5", "output": [ "a" ] }, { "id": "task1421-8ce3916f554f4b2b9fb599e77809c463", "input": "Problem: a bottle contains a certain solution . in the bottled solution , the ratio of water to soap is 3 : 2 , and the ratio of soap to salt is five times this ratio . the solution is poured into an open container , and after some time , the ratio of water to soap in the open container is halved by water evaporation . at that time , what is the ratio of water to salt in the solution ? \nOptions: a ) 1 : 1 , b ) 2 : 3 , c ) 3 : 2 , d ) 9 : 4 , e ) 45 : 8", "output": [ "e" ] }, { "id": "task1421-b6b998339c4d4ba594d189289f6fc156", "input": "Problem: an alloy is to contain steel and iron in the ratio 5 : 2 . the iron required to be melted with 35 kg of steel is ? \nOptions: a ) 12 kg , b ) 14 kg , c ) 15 kg , d ) 20 kg , e ) 18 kg", "output": [ "b" ] }, { "id": "task1421-d0686f1ef7f64cbbadf5168bd56a0d7e", "input": "Problem: there are 361 doctors and nurses in a hospital . if the ratio of the doctors to the nurses is 8 : 11 , then how many nurses are there in the hospital ? \nOptions: a ) 152 , b ) 209 , c ) 57 , d ) 171 , e ) 181", "output": [ "a" ] }, { "id": "task1421-145c9f876d7c4181b4fbb7cef3201f77", "input": "Problem: of the diplomats attending a summit conference , 14 speak french , 32 do not speak russian , and 20 % of the diplomats speak neither french nor russian . if 10 % of the diplomats speak both languages , then how many diplomats attended the conference ? \nOptions: a ) 72 , b ) 96 , c ) 108 , d ) 120 , e ) 180", "output": [ "e" ] }, { "id": "task1421-8c14669809184a5e8b97facda70f6f7b", "input": "Problem: two integers are in the ratio of 1 to 4 . if 12 is added to the smaller number , the ratio becomes 1 to 1 . find the larger integer . \nOptions: a ) 8 , b ) 16 , c ) 32 , d ) 48 , e ) 54", "output": [ "b" ] }, { "id": "task1421-139465e5b157437e97ff6bbd65a7f4ad", "input": "Problem: the value of log 2 ( log 5625 ) is \nOptions: a ) 2 , b ) 5 , c ) 10 , d ) 15 , e ) 20", "output": [ "a" ] }, { "id": "task1421-987da76c63c34fd1a5914c10fd2c0bd9", "input": "Problem: local kennel has cats and dogs in the ratio of 5 : 10 . if there are 40 fewer cats than dogs , how many dogs are in the kennel ? \nOptions: a ) 80 , b ) 70 , c ) 60 , d ) 50 , e ) 45", "output": [ "a" ] }, { "id": "task1421-aa580baa9e6d4396a1b553bd8819a484", "input": "Problem: two numbers are in the ratio of 5 : 7 . if 12 is subtracted from each number , they are in the ratio of 11 : 17 . what are the two numbers ? \nOptions: a ) 45 , 63 , b ) 50 , 70 , c ) 55 , 77 , d ) 60 , 84 , e ) 65 , 91", "output": [ "a" ] }, { "id": "task1421-191b7162c1ad447bb152dc29b9af7f9d", "input": "Problem: the value of ( log 9 27 + log 8 32 ) is : \nOptions: a ) 7 / 2 , b ) 19 / 6 , c ) 5 / 3 , d ) 7 , e ) 8", "output": [ "c" ] }, { "id": "task1421-4e6c7fe2dda347cd9ffba66db2e36136", "input": "Problem: find the compound ratio of ( 2 : 3 ) , ( 6 : 11 ) and ( 11 : 6 ) is \nOptions: a ) 3 : 2 , b ) 2 : 1 , c ) 1 : 2 , d ) 4 : 5 , e ) 2 : 3", "output": [ "e" ] }, { "id": "task1421-84ab88f1af5642d4b113fe3b1e82e0bc", "input": "Problem: if 0.3 of a number is equal to 0.06 of another number , the ratio of the numbers i \nOptions: a ) 3 : 15 , b ) 1 : 2 , c ) 3 : 20 , d ) 20 : 3 , e ) none", "output": [ "a" ] }, { "id": "task1421-5082e87a92894a6eaa94e70c0750bda6", "input": "Problem: set a consists of the integers from 1 to 12 , inclusive , while set b consists of the integers from 5 to 15 , inclusive . how many distinct integers do belong to the both sets at the same time ? \nOptions: a ) 8 , b ) 10 , c ) 12 , d ) 15 , e ) 9", "output": [ "a" ] }, { "id": "task1421-16f4f3749868422d9f00a199d78fb48a", "input": "Problem: the number of stamps that p and q had were in the ratio of 7 : 3 respectively . after p gave q 13 stamps , the ratio of the number of p ' s stamps to the number of q ' s stamps was 5 : 4 . as a result of the gift , p had how many more stamps than q ? \nOptions: a ) 10 , b ) 25 , c ) 40 , d ) 65 , e ) 90", "output": [ "a" ] }, { "id": "task1421-9c82fdcdfb0b4d2989f7a09d58658077", "input": "Problem: there are two positive numbers in the ratio 5 : 8 . if the larger number exceeds the smaller by 45 , then find the smaller number ? \nOptions: a ) 25 , b ) 66 , c ) 77 , d ) 88 , e ) 75", "output": [ "e" ] }, { "id": "task1421-00b355d3d34d4fdf8569351e0e7fa0f6", "input": "Problem: a bottle contains a certain solution . in the bottled solution , the ratio of water to soap is 3 : 2 , and the ratio of soap to salt is 4 times this ratio . the solution is poured into an open container , and after some time , the ratio of water to soap in the open container is quartered by water evaporation . at that time , what is the ratio of water to salt in the solution ? \nOptions: a ) 12 : 8 , b ) 8 : 16 , c ) 9 : 16 , d ) 8 : 12 , e ) 16 : 9", "output": [ "c" ] }, { "id": "task1421-e8a6a73e2f4b4f6a87bf8c10deb9ca03", "input": "Problem: in a group of 90 students , 36 are taking history , and 30 are taking statistics . if 59 students are taking history or statistics or both , then how many students are taking history but not statistics ? \nOptions: a ) 9 , b ) 19 , c ) 23 , d ) 27 , e ) 29", "output": [ "e" ] }, { "id": "task1421-673f1371a49747e09c60dbcd06fb0611", "input": "Problem: q - 1 ) of the 84 parents who attended a meeting at a school , 25 volunteered to supervise children during the school picnic and 11 volunteered both to supervise children during the picnic and to bring refreshments to the picnic . if the number of parents who volunteered to bring refreshments was 1.5 times the number of parents who neither volunteered to supervise children during the picnic nor volunteered to bring refreshments , how many of the parents volunteered to bring refreshments ? \nOptions: a ) 25 , b ) 36 , c ) 38 , d ) 45 , e ) 42", "output": [ "e" ] }, { "id": "task1421-c04853f36fd34f5c8f10514c224246f7", "input": "Problem: how many of the positive factors of 10 , 16 and how many common factors are there in numbers ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "c" ] }, { "id": "task1421-5e69bf0cdacd42dbaa6f29a4af60e664", "input": "Problem: bucket p has thrice the capacity as bucket q . it takes 80 turns for bucket p to fill the empty drum . how many turns it will take for both the buckets p and q , having each turn together to fill the empty drum ? \nOptions: a ) 30 , b ) 45 , c ) 60 , d ) 80 , e ) 100", "output": [ "c" ] }, { "id": "task1421-41a3e94debda4c3ca508e5a926f440e4", "input": "Problem: at present , the ratio between the ages of shekhar and shobha is 4 : 3 . after 6 years , shekhar ' s age will be 26 years . find out the age of shobha at present ? \nOptions: a ) 10 , b ) 12 , c ) 14 , d ) 15 , e ) 20", "output": [ "d" ] }, { "id": "task1421-b23129805b734243bb447a08f3aab0ae", "input": "Problem: the ratio of the arithmetic mean of two numbers to one of the numbers is 5 : 9 . what is the ratio of the smaller number to the larger number ? \nOptions: a ) 1 : 5 , b ) 1 : 6 , c ) 1 : 7 , d ) 1 : 8 , e ) 1 : 9", "output": [ "e" ] }, { "id": "task1421-17cb8a24817b4ff7b8176aea35264706", "input": "Problem: 15 different biology books and 8 different chemistry books lie on a shelf . in how many ways can a student pick 2 books of each type ? \nOptions: a ) 80 , b ) 160 , c ) 720 , d ) 2100 , e ) 2940", "output": [ "e" ] }, { "id": "task1421-0e498d131ec44d82a6a8037f6e4e1be1", "input": "Problem: two vessels contains equal number of mixtures milk and water in the ratio 3 : 2 and 4 : 1 . both the mixtures are now mixed thoroughly . find the ratio of milk to water in the new mixture so obtained ? \nOptions: a ) 1 : 3 , b ) 9 : 13 , c ) 5 : 11 , d ) 7 : 3 , e ) 15 : 4", "output": [ "d" ] }, { "id": "task1421-b4333862c9b5443ba21cb54f820349f2", "input": "Problem: two numbers are in the ratio of 5 : 8 . if 30 be subtracted from each , they are in the ratio of 5 : 9 . find the numbers ? \nOptions: a ) 122,195 , b ) 121,199 , c ) 120,192 , d ) 102,192 , e ) 126,109", "output": [ "c" ] }, { "id": "task1421-460c18b2cc5c4e2eaef2154bd1d1bebf", "input": "Problem: 6 years ago , the ratio of the ages of vimal and saroj was 6 : 5 . 4 years hence , the ratio of their ages will be 11 : 10 . what is saroj ' s age at present ? \nOptions: a ) 12 , b ) 14 , c ) 16 , d ) 18 , e ) 15", "output": [ "c" ] }, { "id": "task1421-73bafd3ed0ae4f3b876b963d6a204ac0", "input": "Problem: what is the prime factors ’ number of 12 ? \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6", "output": [ "b" ] }, { "id": "task1421-d188d21ad32b40839ff8e6cb06a07bef", "input": "Problem: each factor of 210 is inscribed on its own plastic ball , and all of the balls are placed in a jar . if a ball is randomly selected from the jar , what is the probability that the ball is inscribed with a multiple of 45 ? \nOptions: a ) 1 / 16 , b ) 5 / 42 , c ) 1 / 8 , d ) 3 / 16 , e ) 1 / 4", "output": [ "b" ] }, { "id": "task1421-260e312f1cff44b9a4cb54f5577c29f9", "input": "Problem: a box contains 4 black , 3 red and 6 green marbles . 3 marbles are drawn from the box at random . what is the probability that both the marbles are of the same color ? \nOptions: a ) 24 / 286 , b ) 25 / 709 , c ) 25 / 286 , d ) 24 / 268 , e ) 24 / 226", "output": [ "c" ] }, { "id": "task1421-f82be5809d97480082f8f786d2d3e56b", "input": "Problem: how many positive factors of 42 are not factors of 56 ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "d" ] }, { "id": "task1421-08fb69461e9d4c708ee537657f3e0729", "input": "Problem: if x and y are sets of integers , x # y denotes the set of integers that belong to set x or set y , but not both . if x consists of 8 integers , y consists of 18 integers , and 6 of the integers are in both x and y , then x # y consists of how many integers ? \nOptions: a ) 6 , b ) 14 , c ) 22 , d ) 30 , e ) 174", "output": [ "b" ] }, { "id": "task1421-5a1f91da82c7466e91ab3e6ff95f75ea", "input": "Problem: two vessels p and q contain 62.5 % and 87.5 % of alcohol respectively . if 2 litres from vessel p is mixed with 6 litres from vessel q , the ratio of alcohol and water in the resulting mixture is ? \nOptions: a ) 13 : 1 , b ) 13 : 3 , c ) 13 : 8 , d ) 13 : 5 , e ) 13 : 2", "output": [ "b" ] }, { "id": "task1421-4519116c540f4560873f18feb8fbadbc", "input": "Problem: two alloys a and b are composed of two basic elements . the ratios of the compositions of the two basic elements in the two alloys are 5 : 3 and 1 : 2 , respectively . a new alloy x is formed by mixing the two alloys a and b in the ratio 4 : 3 . what is the ratio of the composition of the two basic elements in alloy x ? \nOptions: a ) 1 : 1 , b ) 2 : 3 , c ) 5 : 2 , d ) 4 : 3 , e ) 7 : 9", "output": [ "a" ] }, { "id": "task1421-5f45bf76b70e4985ab9ab693abba8a0a", "input": "Problem: a certain bag contains 100 balls â € ” 20 white , 30 green , 10 yellow , 37 red , and 3 purple . if a ball is to be chosen at random , what is the probability that the ball will be neither red nor purple ? \nOptions: a ) 0.9 , b ) 0.75 , c ) 0.6 , d ) 0.8 , e ) 0.5", "output": [ "c" ] }, { "id": "task1421-9ba8c8f6c62e4616b85572a6fd67d8d6", "input": "Problem: a starts business with rs . 3500 and after 5 months , b joins with a as his partner . after a year , the profit is divided in the ratio 2 : 3 . what is b ’ s contribution in the capital ? \nOptions: a ) 6000 , b ) 9000 , c ) 9500 , d ) 12000 , e ) none", "output": [ "b" ] }, { "id": "task1421-5460929f42cd42e79457d10633eac661", "input": "Problem: what is the square root of 151,321 ? \nOptions: a ) 476 , b ) 389 , c ) 497 , d ) 411 , e ) 524", "output": [ "b" ] }, { "id": "task1421-46a2d25f7dea49e9b56d967527d631c3", "input": "Problem: a marketing survey of anytown found that the ratio of trucks to sedans to motorcycles was 3 : 7 : 2 , respectively . given that there are 9,100 sedans in anytown , how many motorcycles are there ? \nOptions: a ) 1260 , b ) 2600 , c ) 3600 , d ) 4200 , e ) 5200", "output": [ "b" ] }, { "id": "task1421-0afe6ce555f14fa5ab9010322dcaf3f0", "input": "Problem: a dog takes 5 leaps for every 6 leaps of a hare . if one leap of the dog is equal to 3 leaps of the hare , the ratio of the speed of the dog to that of the hare is : \nOptions: a ) 1 : 6 , b ) 5 : 6 , c ) 6 : 1 , d ) 5 : 1 , e ) 9 : 1", "output": [ "d" ] }, { "id": "task1421-108e6908aafd49ab85d60d02860d3870", "input": "Problem: a and b together have $ 1210 . if of a ' s amount is equal to of b ' s amount , what is the ratio between a and b ? \nOptions: a ) 2 : 3 , b ) 3 : 2 , c ) 4 : 5 , d ) 5 : 3 , e ) can not be determined", "output": [ "b" ] }, { "id": "task1421-d0621f9bff8142d6a18879612b168f90", "input": "Problem: a bottle contains a certain solution . in the bottled solution , the ratio of water to soap is 3 : 2 , and the ratio of soap to salt is three times this ratio . the solution is poured into an open container , and after some time , the ratio of water to soap in the open container is halved by water evaporation . at that time , what is the ratio of water to salt in the solution ? \nOptions: a ) 1 : 1 , b ) 2 : 3 , c ) 3 : 2 , d ) 9 : 4 , e ) 27 : 8", "output": [ "e" ] }, { "id": "task1421-4859973c3d5b41d1912506637de1d3ea", "input": "Problem: a can contains a mixture of liquids a and b is the ratio 7 : 5 . when 3 litres of mixture are drawn off and the can is filled with b , the ratio of a and b becomes 7 : 9 . how many liter of liquid a was contained by the can initially ? \nOptions: a ) 7 , b ) 10 , c ) 12 , d ) 14 , e ) 16", "output": [ "a" ] }, { "id": "task1421-f52d84ca421f4bef8a15ffa8940da118", "input": "Problem: if a and b are both odd prime numbers and a < b , then how many different positive integer factors does 2 ab have ? \nOptions: a ) 3 , b ) 4 , c ) 6 , d ) 8 , e ) 12", "output": [ "d" ] }, { "id": "task1421-fc9756b5a21f4f1ebe48fa6ac133bcdb", "input": "Problem: the ratio of three numbers is 2 : 3 : 4 and their sum is 180 . the second number of the three numbers is ? \nOptions: a ) 24 , b ) 60 , c ) 27 , d ) 29 , e ) 30", "output": [ "b" ] }, { "id": "task1421-ad2e54129a03414387ea73a6c2fffb94", "input": "Problem: in a neighborhood having 90 households , 11 did not have either a car or a bike . if 20 households had a both a car and a bike and 44 had a car , how many had bike only ? \nOptions: a ) 30 , b ) 35 , c ) 20 , d ) 18 , e ) 10", "output": [ "b" ] }, { "id": "task1421-909980ab2ecf493fb9a4cdc1ef0b8706", "input": "Problem: ratio between rahul and deepak is 4 : 3 , after 6 years rahul age will be 38 years . what is deepak present age ? \nOptions: a ) 22 , b ) 24 , c ) 77 , d ) 266 , e ) 182", "output": [ "b" ] }, { "id": "task1421-e052b5f61cb3423581bca3fd30457c87", "input": "Problem: teas worth rs . 126 per kg and rs . 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2 . if the mixture is worth rs 154 per kg , the price of the third variety per kg will be ? \nOptions: a ) rs . 147.50 , b ) rs . 785.50 , c ) rs . 176.50 , d ) rs . 258.50 , e ) none of these", "output": [ "c" ] }, { "id": "task1421-6d6b497c121a46b7831c364a3f786fb8", "input": "Problem: the hcf of two numbers is 50 and the other two factors of their lcm are 11 and 12 . what is the largest number . \nOptions: a ) 462 , b ) 450 , c ) 480 , d ) 504 , e ) 600", "output": [ "e" ] }, { "id": "task1421-142ffccb8f934ec2b75dc3ec83543e5c", "input": "Problem: the least whole number which when subtracted from both the terms of the ratio 6 : 7 to give a ratio less than 16 : 21 , is \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "a" ] }, { "id": "task1421-1a95c6da17574a6ba555815a26599636", "input": "Problem: if 1 tic equals 4 tacs and 5 tacs equal 8 tocs , what is the ratio of one tic to one toc ? \nOptions: a ) 15 / 2 , b ) 6 / 5 , c ) 5 / 6 , d ) 32 / 5 , e ) 1 / 15", "output": [ "d" ] }, { "id": "task1421-a0c7d98737174eac8807782989580f23", "input": "Problem: uba capital recently bought brand new vehicles for office use . uba capital only went for toyota and honda and bought less of toyota than honda at the ratio of 4 : 6 . if 40 % of the toyota bought and 60 % of the honda bought were suv ã ¢ â ‚ ¬ â „ ¢ s . how many suv ã ¢ â ‚ ¬ â „ ¢ s did uba capital buy in the aforementioned purchase ? \nOptions: a ) 66 % , b ) 64 % , c ) 68 % , d ) 52 % , e ) 72 %", "output": [ "d" ] }, { "id": "task1421-f5ada881744241a5afb9048d1b5e62ee", "input": "Problem: of the diplomats attending a summit conference , 30 speak french , 32 do not speak russian , and 20 % of the diplomats speak neither french nor russian . if 10 % of the diplomats speak both languages , then how many diplomats attended the conference ? \nOptions: a ) 20 , b ) 96 , c ) 108 , d ) 120 , e ) 150", "output": [ "a" ] }, { "id": "task1421-ec902749b68242afba3cc05778e2de45", "input": "Problem: the l . c . m . of two numbers is 42 . the numbers are in the ratio 2 : 3 . then sum of the number is : \nOptions: a ) 28 , b ) 32 , c ) 35 , d ) 53 , e ) 54", "output": [ "c" ] }, { "id": "task1421-2253e88fd56e4508a32a9ae564de758e", "input": "Problem: in a sports club with 30 members , 17 play badminton and 18 play tennis and 2 do not play either . how many members play both badminton and tennis ? \nOptions: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11", "output": [ "a" ] }, { "id": "task1421-f716a6a37b6e41678d9e08c421bcee73", "input": "Problem: if 85 percent of the test takers taking an old paper and pencil gmat exam answered the first question on a given math section correctly , and 80 percent of the test takers answered the second question correctly , and 5 percent of the test takers answered neither question correctly , what percent answered both correctly ? \nOptions: a ) 60 % , b ) 65 % , c ) 70 % , d ) 75 % , e ) 80 %", "output": [ "c" ] }, { "id": "task1421-c958a0928b1f4ae0ab8a39fb58fd3c2f", "input": "Problem: a number is said to be prime saturated if the product of all the different positive prime factors of q is less than the square root of q . what is the greatest two digit prime saturated integer ? \nOptions: a ) 99 , b ) 98 , c ) 97 , d ) 96 , e ) 95", "output": [ "d" ] }, { "id": "task1421-bdf3363316904bc28f88fb939aa0c388", "input": "Problem: how many different positive integers are factors of 196 ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 49 , e ) 36", "output": [ "d" ] }, { "id": "task1421-7b97ed3a9d24475ab49fcf99462ff161", "input": "Problem: a pet store holds cats and dogs . if the difference between the number of cats and the number of dogs is 5 . what could be the ratio of cats to dogs in the pet store ? \nOptions: a ) 1 : 3 , b ) 20 : 25 , c ) 1 : 5 , d ) 2 : 5 , e ) 4 : 6", "output": [ "b" ] }, { "id": "task1421-a49532782e53457aa2e9576ef563c079", "input": "Problem: the sum of the numbers is 177 . if the ratio between the first and the second be 5 : 3 and that between the second and third be 4 : 9 , then find the second number ? \nOptions: a ) 12 , b ) 20 , c ) 45 , d ) 60 , e ) 52", "output": [ "c" ] }, { "id": "task1421-5b4b61277df14600863420f9593b8604", "input": "Problem: a certain high school has 500 students . of these students , 30 are taking music , 20 are taking art , and 10 are taking both music and art . how many students are taking neither music nor art ? \nOptions: a ) 430 , b ) 440 , c ) 450 , d ) 460 , e ) 470", "output": [ "d" ] }, { "id": "task1421-9f01f06ff8714bfca2312abee3b37ab6", "input": "Problem: how many of the positive factors of 24 are not factors of 25 \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 1 , e ) 5", "output": [ "d" ] }, { "id": "task1421-77568909c0a04eb48099446ba0189046", "input": "Problem: in a sports club with 35 members , 15 play badminton and 18 play tennis and 5 do not play either . how many members play both badminton and tennis ? \nOptions: a ) 3 , b ) 5 , c ) 6 , d ) 7 , e ) 8", "output": [ "a" ] }, { "id": "task1421-6a50a988317c423d838915158c09c678", "input": "Problem: the ratio of three numbers is 1 : 2 : 4 and the sum of their squares is 1701 . the sum of the numbers is ? \nOptions: a ) a ) 10 , b ) b ) 12 , c ) c ) 15 , d ) d ) 14 , e ) e ) 9", "output": [ "e" ] }, { "id": "task1421-5e52d3cd64d84f3286839d76da822c9c", "input": "Problem: pants , shorts and shirts in a dresser are in the ratio of 7 : 7 : 10 . if there are 14 pants , the number of shirts in the dresser is : \nOptions: a ) 14 , b ) 7 , c ) 20 , d ) 70 , e ) 35", "output": [ "c" ] }, { "id": "task1421-fa0f9cfce9f64b6888e0c22a65568f73", "input": "Problem: at the faculty of aerospace engineering , 302 students study random - processing methods , 232 students study scramjet rocket engines and 112 students study them both . if every student in the faculty has to study one of the two subjects , how many students are there in the faculty of aerospace engineering ? \nOptions: a ) 444 , b ) 432 , c ) 346 , d ) 422 , e ) 448", "output": [ "d" ] }, { "id": "task1421-6ebf67bc5f164853ac304830e8cdda4f", "input": "Problem: the ratio between the number of sheep and the number of horses at the stewar farm is 4 to 7 . if each of horse is fed 230 ounces of horse food per day and the farm needs a total 12880 ounces of horse food per day . what is number sheep in the form ? ? \nOptions: a ) 18 , b ) 28 , c ) 32 , d ) 56 , e ) 58", "output": [ "c" ] }, { "id": "task1421-2312bd8d6e2b4ca2a71c484aa9e73f95", "input": "Problem: tea worth rs . 126 per kg are mixed with a third variety in the ratio 1 : 1 : 2 . if the mixture is worth rs . 133 per kg , the price of the third variety per kg will be \nOptions: a ) rs . 169.50 , b ) rs . 1700 , c ) rs . 175.50 , d ) rs . 155.50 , e ) none", "output": [ "d" ] }, { "id": "task1421-545b70348bde49168d03e7fbb4bf5a63", "input": "Problem: the compound ratio of 2 / 3 , 6 / 7 , 1 / 3 and 3 / 8 is given by ? \nOptions: a ) 7 / 98 , b ) 1 / 48 , c ) 1 / 98 , d ) 1 / 96 , e ) 3 / 42", "output": [ "e" ] }, { "id": "task1421-0cf370e51c2247e195aef03f9ffd41de", "input": "Problem: if w is the set of all the integers between 19 and 99 , inclusive , that are either multiples of 3 or multiples of 2 or multiples of both , then w contains how many numbers ? \nOptions: a ) 26 , b ) 32 , c ) 33 , d ) 34 , e ) 54", "output": [ "e" ] }, { "id": "task1421-62c4e2e1a78f4807995906f3c76e997f", "input": "Problem: a marketing firm determined that , of 200 households surveyed , 80 used neither brand r nor brand b soap , 60 used only brand r soap , and for every household that used both brands of soap , 3 used only brand b soap . how many of the 200 households surveyed used both brands of soap ? \nOptions: a ) 15 , b ) 20 , c ) 30 , d ) 40 , e ) 45", "output": [ "d" ] }, { "id": "task1421-6a7e5e8e42454c748483461e06013658", "input": "Problem: if 0.10 of a number is equal to 0.070 of another number , the ratio of the numbers is : \nOptions: a ) 2 : 3 , b ) 3 : 4 , c ) 7 : 10 , d ) 20 : 3 , e ) 30 : 7", "output": [ "c" ] }, { "id": "task1421-6481a19d99344bbdaf2b587b01be8e7d", "input": "Problem: how many different positive integers are factors of 40 ? \nOptions: a ) 3 , b ) 2 , c ) 1 , d ) 6 , e ) 4", "output": [ "d" ] }, { "id": "task1421-d5365aa4028b4f4ab28adc47acd11de1", "input": "Problem: in township k , 1 / 5 of the housing units are equiped with cable tv . if 1 / 10 of the housing units , including 1 / 6 of those that are equiped with cable tv , are equipped with videocassette recorders , what fraction of the housing units have neither cable tv nor videocassette recorders ? \nOptions: a ) 23 / 30 , b ) 11 / 15 , c ) 7 / 10 , d ) 1 / 6 , e ) 2 / 15", "output": [ "b" ] }, { "id": "task1421-a4af808c4ddd4ee1a98dfde2faf53152", "input": "Problem: a farmer with 1,350 acres of land had planted his fields with corn , sugar cane , and tobacco in the ratio of 3 : 2 : 4 , respectively , but he wanted to make more money , so he shifted the ratio to 2 : 2 : 5 , respectively . how many more acres of land were planted with tobacco under the new system ? \nOptions: a ) 90 , b ) 150 , c ) 270 , d ) 300 , e ) 450", "output": [ "b" ] }, { "id": "task1421-70ad46974b354e8ea832ded40f9a7ce2", "input": "Problem: a began business with rs . 45000 and was joined afterwards by b with rs . 27000 . when did b join if the profits at the end of the year were divided in the ratio of 2 : 1 ? \nOptions: a ) 1 , b ) 6 , c ) 7 , d ) 8 , e ) 2", "output": [ "e" ] }, { "id": "task1421-3b334acdd72c4711bc22903f5ae478cf", "input": "Problem: a certain music store stocks 800 cellos and 600 violas . of these instruments , there are 110 cello - viola pairs , such that a cello and a viola were both made with wood from the same tree ( each tree can make at most one viola and one cello , so there are no pairs other than these 90 ) . if one viola and one cello are chosen at random , what is the probability that the two instruments are made with wood from the same tree ? \nOptions: a ) 11 / 48,000 , b ) 1 / 8,100 , c ) 3 / 1,600 , d ) 1 / 90 , e ) 2 / 45", "output": [ "a" ] }, { "id": "task1421-8bdb5236587545ea96824c3fc320fd80", "input": "Problem: if log 2 = 0.3010 and log 3 = 0.4771 , the value of log 5 512 is : \nOptions: a ) 2.87 , b ) 2.965 , c ) 3.876 , d ) 3.9 , e ) 4.526", "output": [ "c" ] }, { "id": "task1421-4a3d7db798244ce2af375836693e16a0", "input": "Problem: income and expenditure of a person are in the ratio 10 : 8 . if the income of the person is rs . 10000 , then find his savings ? \nOptions: a ) 2003 , b ) 2002 , c ) 2000 , d ) 2001 , e ) 2004", "output": [ "c" ] }, { "id": "task1421-d743c2b123a14fb1b5b9979f323d89dc", "input": "Problem: in the class of 40 students , 30 speak hindi and 20 speak english . what is the lowest possible number of students who speak both the languages ? \nOptions: a ) 10 , b ) 15 , c ) 20 , d ) 25 , e ) 30", "output": [ "a" ] }, { "id": "task1421-6f7202f3e08549b3836bb71a002e5c85", "input": "Problem: in a group of 90 people , 55 have visited iceland and 33 have visited norway . if 51 people have visited both iceland and norway , how many people have visited neither country ? \nOptions: a ) 50 , b ) 51 , c ) 52 , d ) 53 , e ) 54", "output": [ "d" ] }, { "id": "task1421-361fc83c510d47e7bbd883deb4440c3d", "input": "Problem: the ratio between the radii of two spheres is 1 : 3 . find the ratio between their volumes ? \nOptions: ['a ) 1 : 28', 'b ) 1 : 27', 'c ) 1 : 29', 'd ) 1 : 39', 'e ) 1 : 22']", "output": [ "b" ] }, { "id": "task1421-e01c11af79834ac3b9ece2c4ef4ab25e", "input": "Problem: two vessels contains equal number of mixtures milk and water in the ratio 4 : 1 and 7 : 3 . both the mixtures are now mixed thoroughly . find the ratio of milk to water in the new mixture so obtained ? \nOptions: a ) 2 : 1 , b ) 4 : 1 , c ) 3 : 1 , d ) 2 : 3 , e ) 4 : 3", "output": [ "c" ] }, { "id": "task1421-1343c7ea26f94265a5c5966b811dd27b", "input": "Problem: two numbers are in the ratio 3 : 4 . if their l . c . m . is 60 . what is sum of the numbers ? \nOptions: a ) 35 , b ) 56 , c ) 76 , d ) 84 , e ) 85", "output": [ "a" ] }, { "id": "task1421-cebaae80b1ce48f6a0ab772df5f44fbb", "input": "Problem: of the people who responded to a market survey , 240 preferred brand x and the rest preferred brand y . if the respondents indicated a preference for brand x over brand y by ratio of 6 to 1 , how many people responded to the survey ? \nOptions: a ) 80 , b ) 160 , c ) 280 , d ) 360 , e ) 480", "output": [ "c" ] }, { "id": "task1421-a006cf8b955a412bafd9a5371cc7e5a6", "input": "Problem: at an international conference , “ red ” world countries and “ blue ” world countries are the only participants . the ratio of “ red ” world participants to “ blue ” world participants is 10 : 5 . if one - third of “ red ” world participants are left - handed and two - thirds of “ blue ” world participants are left - handed , then what is the fraction of the participants who are left - handed ? \nOptions: a ) 4 / 10 , b ) 4 / 9 , c ) 6 / 5 , d ) 9 / 2 , e ) 6 / 4", "output": [ "b" ] }, { "id": "task1421-b2be4498a81a4a609ddf59a7142e2b87", "input": "Problem: the weights of one liter vegetable ghee packet of two brands ‘ a ’ and ‘ b ’ are 800 gm and 850 gm respectively . if they are mixed in the ratio of 3 : 2 by volumes to form a mixture of 3 liters , what is the weight ( in kg ) of the mixture ? \nOptions: a ) 3.84 , b ) 1.75 , c ) 3.52 , d ) 2.46 , e ) none of these", "output": [ "d" ] }, { "id": "task1421-d4eafb17bfb7494a9abb8e6ab2d79db6", "input": "Problem: a grocery store bought some mangoes at a rate of 4 for a dollar . they were separated into two stacks , one of which was sold at a rate of 3 for a dollar and the other at a rate of 6 for a dollar . what was the ratio of the number of mangoes in the two stacks if the store broke even after having sold all of its mangoes ? \nOptions: a ) 1 : 4 , b ) 1 : 5 , c ) 2 : 3 , d ) 1 : 2 , e ) 1 : 2", "output": [ "e" ] }, { "id": "task1421-1a4b4c18aa7d4e19b92f4ce47c76bc52", "input": "Problem: 1024 people in village 720 speak tamil , 562 speak english while 346 speak both . person who don not speack english or tamil speak hindi . what is probibility that person speak hindi \nOptions: a ) 13 / 128 , b ) 12 / 128 , c ) 11 / 126 , d ) 11 / 127 , e ) 11 / 128", "output": [ "e" ] }, { "id": "task1421-31e51ddaa4dc49729236ebe855a0fb9e", "input": "Problem: the compound ratio of 2 / 3 , 6 / 7 , 1 / 3 and 1 / 9 is given by ? \nOptions: a ) 7 / 98 , b ) 1 / 48 , c ) 4 / 189 , d ) 1 / 96 , e ) 1 / 68", "output": [ "c" ] }, { "id": "task1421-8a887b5035b94019a811ce8fc4cd4306", "input": "Problem: sara bought both german chocolate and swiss chocolate for some cakes she was baking . the swiss chocolate cost $ 3.6 per pound , and german chocolate cost $ 3 per pound . if the total the she spent on chocolate was $ 36 and both types of chocolate were purchased in whole number of pounds , how many total pounds of chocolate she purchased ? \nOptions: a ) 7 , b ) 8 , c ) 10 , d ) 15 , e ) 36 / 3", "output": [ "e" ] }, { "id": "task1421-38f163a128074b59b0fa5d022da204af", "input": "Problem: 100 students appeared in 2 tests . 60 students passed 1 st test . 40 students passed in the 2 nd test . 20 students passed in both 1 and 2 tests . what is the probability of the students who failed in both tests ? \nOptions: a ) 10 % , b ) 15 % , c ) 20 % , d ) 25 % , e ) 30 %", "output": [ "c" ] }, { "id": "task1421-25ae83a69ecc4dd38d568192b4fed02d", "input": "Problem: the marks obtained by vijay and amith are in the ratio 2 : 5 and those obtained by amith and abhishek in the ratio of 3 : 2 . the marks obtained by vijay and abhishek are in the ratio of ? \nOptions: a ) 6 : 8 , b ) 3 : 1 , c ) 6 : 5 , d ) 3 : 2 , e ) 3 : 5", "output": [ "e" ] }, { "id": "task1421-258d4f28a06045f69764170b94698d2f", "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 numbers will be even ? \nOptions: a ) 3 / 14 , b ) 2 / 7 , c ) 1 / 3 , d ) 1 / 2 , e ) 12 / 21", "output": [ "a" ] }, { "id": "task1421-05496a89e5734904aee3f376693b1fb5", "input": "Problem: in a graduating class of 234 students , 144 took geometry and 119 took biology . what is the difference between the greatest possible number and the smallest possible number of students that could have taken both geometry and biology ? \nOptions: a ) 144 , b ) 115 , c ) 113 , d ) 88 , e ) 31", "output": [ "b" ] }, { "id": "task1421-cc1319e3b8804cbdb7df00670e26545f", "input": "Problem: in a sports club with 42 members , 20 play badminton and 23 play tennis and 6 do not play either . how many members play both badminton and tennis ? \nOptions: a ) 3 , b ) 5 , c ) 6 , d ) 7 , e ) 8", "output": [ "d" ] }, { "id": "task1421-9817449c23884bfeb6345ffffdd3d9a1", "input": "Problem: 9 log 9 ( 4 ) = ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "d" ] }, { "id": "task1421-6f4c716f73824ff3822d6761312c4a33", "input": "Problem: the ratio of numbers is 5 : 6 and their h . c . f is 4 . their l . c . m is : \nOptions: a ) 12 , b ) 16 , c ) 24 , d ) 48 , e ) 120", "output": [ "e" ] }, { "id": "task1421-5e983423d4dc4458af2cdb04d9ae7649", "input": "Problem: in a certain state , the ratio of registered republicans to registered democrats is 3 to 2 , and every registered voter is either a republican or a democrat . if 75 percent of the republicans and 15 percent of the democrats are expected to vote for candidate x , and everyone else is expected to vote for candidate y , by what percent is candidate x expected to win the election ? \nOptions: a ) 2 % , b ) 5 % , c ) 8 % , d ) 10 % , e ) 15 %", "output": [ "a" ] }, { "id": "task1421-d91aadc573f04d109d39e616a5b64a89", "input": "Problem: a starts business with rs . 4500 and after 7 months , b joins with a as his partner . after a year , the profit is divided in the ratio 2 : 3 . what is b â € ™ s contribution in the capital ? \nOptions: a ) 24887 , b ) 20778 , c ) 16200 , d ) 9000 , e ) 2811", "output": [ "c" ] }, { "id": "task1421-995c5d5b298243ab8a5164c1f3c37f1e", "input": "Problem: the h . c . f of two numbers is 23 and the other two factors of their l . c . m are 14 and 15 . the larger of the two numbers is : \nOptions: a ) 338 , b ) 278 , c ) 345 , d ) 231 , e ) 121", "output": [ "c" ] }, { "id": "task1421-0eee19e692904869a6cac5aff6564ba5", "input": "Problem: in a certain corporation , there are 300 male employees and 100 female employees . it is known that 20 % of the male employees have advanced degrees and 40 % of the females have advanced degrees . if one of the 400 employees is chosen at random , what is the probability this employee has an advanced degree or is female ? \nOptions: a ) 1 / 20 , b ) 1 / 10 , c ) 1 / 5 , d ) 2 / 5 , e ) 3 / 4", "output": [ "d" ] }, { "id": "task1421-7610ecf242b44d03892e15fc76790aef", "input": "Problem: find the number of different prime factors of 6440 \nOptions: a ) 4 , b ) 2 , c ) 3 , d ) 5 , e ) 6", "output": [ "a" ] }, { "id": "task1421-8b3f327097dd48ebbc15da706ce02a7c", "input": "Problem: a jar contains a mixture of ab in the ratio 4 : 1 . when 20 l of mixture is replaced with liquid b , ratio becomes 2 : 3 . how many liters of liquid a was present in mixture initially . \nOptions: a ) 12 , b ) 15 , c ) 32 , d ) 20 , e ) 25", "output": [ "c" ] }, { "id": "task1421-456c1c4951f8438585b93d89177696ca", "input": "Problem: a polling company found that , of 300 households surveyed , 120 spent at least $ 100 per month on both gasoline and electricity , 60 spent at least $ 100 per month on gasoline but not on electricity , and for every household that did not spend at least $ 100 per month on gasoline or electricity , 4 spent at least $ 100 per month on electricity but not on gasoline . how many of the 300 households did not spend at least $ 100 per month on either gasoline or electricity ? \nOptions: a ) 24 , b ) 30 , c ) 36 , d ) 90 , e ) 96", "output": [ "a" ] }, { "id": "task1421-35809804dc0b4300b95e770f0099c603", "input": "Problem: of 60 children , 30 are happy , 10 are sad , and 20 are neither happy nor sad . there are 18 boys and 42 girls . if there are 6 happy boys and 4 sad girls , how many boys are neither happy nor sad ? \nOptions: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 10", "output": [ "c" ] }, { "id": "task1421-c8931f884ead4006b0d8af769a64324b", "input": "Problem: irin , ingrid and nell bake chocolate chip cookies in the ratio of 9.18 : 5.17 : 2.05 . if altogether they baked a batch of 148 cookies , what percent of the cookies did irin bake ? \nOptions: a ) 0.125 % , b ) 1.25 % , c ) 56 % , d ) 125 % , e ) 0.152 %", "output": [ "c" ] }, { "id": "task1421-7e6aaa277742418da9261cb2b353adc8", "input": "Problem: a certain university will select 3 of 7 candidates eligible to fill a position in the mathematics department and 5 of 8 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ? \nOptions: a ) 42232 , b ) 42170 , c ) 14008 , d ) 16510 , e ) 41160", "output": [ "e" ] }, { "id": "task1421-53f1592514b242179569ee508aca5cd7", "input": "Problem: the ratio by weight , measured in pounds , of books to clothes to electronics in a suitcase initially stands at 7 : 4 : 3 . someone removes 6 pounds of clothing from the suitcase , thereby doubling the ratio of books to clothes . how many pounds do the electronics in the suitcase weigh ? \nOptions: a ) 1 , b ) 3 , c ) 5 , d ) 7 , e ) 9", "output": [ "e" ] }, { "id": "task1421-9651e2ef68974f55bc173bc9f02f6cb5", "input": "Problem: two numbers are in the ratio of 7 : 6 . if 18 be subtracted from each , they are in the ratio of 6 : 5 . find the numbers ? \nOptions: a ) 5,9 , b ) 7,9 , c ) 4,7 , d ) 7,6 , e ) 6,9", "output": [ "d" ] }, { "id": "task1421-3e702b5c669b497f9fe130b74a090e31", "input": "Problem: the compound ratio of 3 : 4 , 3 : 2 and 4 : 5 ? \nOptions: a ) 1 : 9 , b ) 1 : 7 , c ) 1 : 2 , d ) 9 : 10 , e ) 1 : 4", "output": [ "d" ] }, { "id": "task1421-090455a6fb9048368dbd2164bb1dae12", "input": "Problem: divide $ 2000 among b , c in the ratio 4 : 16 . how many $ that c get ? \nOptions: a ) $ 1200 , b ) $ 1400 , c ) $ 1600 , d ) $ 1800 , e ) $ 2000", "output": [ "c" ] }, { "id": "task1421-4cb38574bc1840a2bf9e3d0975b8b185", "input": "Problem: the ratio of two quantities is 2 : 3 . if each of the quantities is increased by 6 , what is the ratio of the new quantities ? \nOptions: a ) 2 : 3 , b ) 6 : 7 , c ) 8 : 9 , d ) 8 : 3 , e ) it can not be determined from the information given", "output": [ "e" ] }, { "id": "task1421-b2691e01d63d422d95b49d337b8df298", "input": "Problem: there are two positive numbers in the ratio 5 : 8 . if the larger number exceeds the smaller by 18 , then find the smaller number ? \nOptions: a ) 30 , b ) 66 , c ) 77 , d ) 88 , e ) 44", "output": [ "a" ] }, { "id": "task1421-dda1bcf2ade0491d9fd34a82a3a3ac2d", "input": "Problem: three numbers are in the ratio 3 : 4 : 5 and their l . c . m . is 1200 . their h . c . f is ? \nOptions: a ) 20 , b ) 30 , c ) 40 , d ) 50 , e ) 60", "output": [ "a" ] }, { "id": "task1421-52a7355d303b4b20b7d96ec31ae84666", "input": "Problem: a starts business with rs . 3500 and after 10 months , b joins with a as his partner . after a year , the profit is divided in the ratio 2 : 3 . what is b â € ™ s contribution in the capital ? \nOptions: a ) 24887 , b ) 20778 , c ) 23788 , d ) 31500 , e ) 2811", "output": [ "d" ] }, { "id": "task1421-e3bd7fc42f574f8ba7fd06f9b13c548e", "input": "Problem: if the ratio of the sum of the first 6 terms of a g . p . to the sum of the first 3 terms of the g . p . is 65 , what is the common ratio of the g . p ? \nOptions: a ) 4 , b ) 1 / 4 , c ) 2 , d ) 9 , e ) 1 / 9", "output": [ "a" ] }, { "id": "task1421-28c5e7ae3df94b2ab2687e05b6a12857", "input": "Problem: ratio between rahul and deepak is 4 : 3 , after 10 years rahul age will be 26 years . what is deepak present age \nOptions: a ) 12 , b ) 15 , c ) 20 , d ) 22 , e ) 23", "output": [ "a" ] }, { "id": "task1421-fc1ab09755194cfb91ae3fe5b10ad813", "input": "Problem: log 3 n + log 9 n what is 3 digit number n that will be whole number \nOptions: a ) 629 , b ) 729 , c ) 829 , d ) 929 , e ) 727", "output": [ "b" ] }, { "id": "task1421-8246d787e9fc4d8dac66195065837b55", "input": "Problem: if 85 percent of the test takers taking an old paper and pencil gmat exam answered the first question on a given math section correctly , and 65 percent of the test takers answered the second question correctly , and 5 percent of the test takers answered neither question correctly , what percent answered both correctly ? \nOptions: a ) 60 % , b ) 55 % , c ) 70 % , d ) 75 % , e ) 80 %", "output": [ "b" ] }, { "id": "task1421-24285f30259e4932b553be3ca9566b9c", "input": "Problem: the h . c . f . of two numbers is 10 and the other two factors of their l . c . m . are 11 and 15 . the larger of the two numbers is : \nOptions: a ) 150 , b ) 300 , c ) 299 , d ) 322 , e ) 345", "output": [ "a" ] }, { "id": "task1421-1d07c4a592044a1382022602a38ec4b9", "input": "Problem: the h . c . f . of two numbers is 23 and the other two factors of their l . c . m . are 13 and 19 . the larger of the two numbers is : \nOptions: a ) 437 , b ) 299 , c ) 322 , d ) 345 , e ) 355", "output": [ "a" ] }, { "id": "task1421-b17fe4490e3b40c19b7e48cebf381cd3", "input": "Problem: the hcf of two numbers is 42 and the other two factors of their lcm are 11 and 12 . what is the largest number . \nOptions: a ) 462 , b ) 450 , c ) 480 , d ) 504 , e ) 555", "output": [ "d" ] }, { "id": "task1421-3d3272a50ab5422a8b71a73c62093be3", "input": "Problem: the overall ages of kumar , hathim and rahul is 93 years . 1 decade ago , the ratio of their ages was 2 : 3 : 4 . what is the current age of rahul ? \nOptions: a ) 38 , b ) 37 , c ) 34 , d ) 35 , e ) 33", "output": [ "a" ] }, { "id": "task1421-d573dc40e039458c8ebb95f7b1f50c64", "input": "Problem: how many factors of 220 are odd numbers greater than 1 ? \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "a" ] }, { "id": "task1421-13f35bbbf088482cb3edc9a1b18769c1", "input": "Problem: a certain bag contains 100 balls — 50 white , 30 green , 10 yellow , 7 red , and 3 purple . if a ball is to be chosen at random , what is the probability that the ball will be neither red nor purple ? \nOptions: a ) 0.9 , b ) 0.75 , c ) 0.6 , d ) 0.8 , e ) 0.5", "output": [ "a" ] }, { "id": "task1421-50900b2773c542c5b04f69497c840fb7", "input": "Problem: each factor of 200 is inscribed on its own plastic ball , and all of the balls are placed in a jar . if a ball is randomly selected from the jar , what is the probability that the ball is inscribed with a multiple of 42 ? \nOptions: a ) 1 / 16 , b ) 5 / 42 , c ) 1 / 8 , d ) 3 / 16 , e ) 1 / 9", "output": [ "e" ] }, { "id": "task1421-0e7f838889de496ea84c21c62545b4c3", "input": "Problem: a dog takes 3 leaps for every 5 leaps of a hare . if one leap of the dog is equal to 3 leaps of the hare , the ratio of the speed of the dog to that of the hare is : \nOptions: a ) 9 : 5 , b ) 2 : 3 , c ) 4 : 7 , d ) 5 : 6 , e ) none of these", "output": [ "a" ] }, { "id": "task1421-1fc9facd201a42738c329dc9cc68c0da", "input": "Problem: how many multiples of 8 are there between 100 and 200 ( both are inclusive ) ? \nOptions: a ) 27 , b ) 4 , c ) 6 , d ) 13.5 , e ) 8", "output": [ "d" ] }, { "id": "task1421-05df50025ab04c3595780a3f01b6d896", "input": "Problem: in a group of 28 junior high school students , 7 take french , 9 take spanish , and 4 take both languages . the students taking both french and spanish are not counted with the 7 taking french or the 10 taking spanish . how many students are not taking either french or spanish ? \nOptions: a ) 7 , b ) 6 , c ) 9 , d ) 4 , e ) 8", "output": [ "e" ] }, { "id": "task1421-c90a91ad22414317ae74114f72cccc6f", "input": "Problem: a bag contains 4 red , 3 blue and 2 green balls . if 2 ballsare picked at random , what is the probability that both are red ? \nOptions: a ) 1 / 13 , b ) 2 / 23 , c ) 1 / 6 , d ) 4 / 27 , e ) 3 / 23", "output": [ "c" ] }, { "id": "task1421-6a63e0047dac448a9ed47f2dd099f69e", "input": "Problem: if the ratio of two number is 2 : 5 and lcm of the number is 160 then what is the number . \nOptions: a ) 15 , b ) 20 , c ) 16 , d ) 30 , e ) 35", "output": [ "c" ] }, { "id": "task1421-931289828fc14bb899c904552805416d", "input": "Problem: a farmer with 1,350 acres of land had planted his fields with corn , sugar cane , and tobacco in the ratio of 4 : 2 : 3 , respectively , but he wanted to make more money , so he shifted the ratio to 2 : 2 : 5 , respectively . how many more acres of land were planted with tobacco under the new system ? \nOptions: a ) 90 , b ) 150 , c ) 270 , d ) 300 , e ) 450", "output": [ "d" ] }, { "id": "task1421-6fe238ab2ea741838e240925400573ad", "input": "Problem: sandy is younger than molly by 6 years . if their ages are in the respective ratio of 7 : 9 , how old is molly ? \nOptions: a ) 21 , b ) 24 , c ) 27 , d ) 36 , e ) 45", "output": [ "c" ] }, { "id": "task1421-087ead4ec233455bbeb46f06ddcdfff9", "input": "Problem: if both 2 ^ 2 and 3 ^ 4 are factors of the number a * 4 ^ 3 * 6 ^ 2 * 13 ^ 11 , then what is the smallest possible value of a ? \nOptions: a ) 6 , b ) 9 , c ) 12 , d ) 15 , e ) 18", "output": [ "b" ] }, { "id": "task1421-e752f893e2e9400eb2cc8b151451ba15", "input": "Problem: in a school 20 % of the boys are same in number as 1 / 4 th of the girls . what is the ratio of boys to the girls in the school ? \nOptions: a ) 5 : 4 , b ) 2 : 3 , c ) 1 : 4 , d ) 3 : 7 , e ) 2 : 5", "output": [ "a" ] }, { "id": "task1421-4771e1bf76764436a59532d8f3d346ac", "input": "Problem: the compound ratio of 5 : 8 , 3 : 2 and 4 : 5 ? \nOptions: a ) 1 : 1 , b ) 1 : 87 , c ) 3 : 4 , d ) 1 : 9 , e ) 1 : 2", "output": [ "c" ] }, { "id": "task1421-1e8bdf7ca36e4fd5bbe7200349740cb2", "input": "Problem: uba capital recently bought brand new vehicles for office use . uba capital only went for toyota and honda and bought more of toyota than honda at the ratio of 9 : 1 . if 90 % of the toyota bought and 10 % of the honda bought were suv ã ¢ â ‚ ¬ â „ ¢ s . how many suv ã ¢ â ‚ ¬ â „ ¢ s did uba capital buy in the aforementioned purchase ? \nOptions: a ) 82 % , b ) 64 % , c ) 28 % , d ) 69 % , e ) 80 %", "output": [ "a" ] }, { "id": "task1421-208f5ecad5514d2daf741c623aa52479", "input": "Problem: in a sports club with 30 members , 18 play badminton and 19 play tennis and 2 do not play either . how many members play both badminton and tennis ? \nOptions: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11", "output": [ "c" ] }, { "id": "task1421-87dace6f705243149d1f3e1b3da00728", "input": "Problem: the ratio of boarders to day students at a school was originally 5 to 12 . however , after a number of new boarders join the initial 150 boarders , the ratio changed to 1 to 2 . if no boarders became day students and vice versa , and no students left the school , how many new boarders joined the school ? \nOptions: a ) 30 , b ) 50 , c ) 70 , d ) 80 , e ) 90", "output": [ "a" ] }, { "id": "task1421-75bee1e571ac4f71bd866c58de1760f4", "input": "Problem: what is the square root of 239,121 ? \nOptions: a ) 476 , b ) 489 , c ) 497 , d ) 511 , e ) 524", "output": [ "b" ] }, { "id": "task1421-a736cf1b0a6245b483327be445f83150", "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 is ratio of male to female students on honor roll ? \nOptions: a ) 8 / 5 , b ) 3 / 15 , c ) 23 / 30 , d ) 43 / 60 , e ) 53 / 90", "output": [ "a" ] }, { "id": "task1421-042a2b6647c3465e947e8dcedcf99321", "input": "Problem: the sub - duplicate ratio of 25 : 16 is \nOptions: a ) 4 : 3 , b ) 1 : 2 , c ) 1 : 3 , d ) 5 : 4 , e ) 2 : 3", "output": [ "d" ] }, { "id": "task1421-227387f6791f43edadb8154926e604a6", "input": "Problem: in a group of 600 readers who read science fiction or literacy works or both , 200 read science fiction and 230 read literacy works . how many read both science fiction and literacy works ? \nOptions: a ) 70 , b ) 30 , c ) 25 , d ) 100 , e ) 110", "output": [ "b" ] }, { "id": "task1421-d0e112b834b74dac95ca15ad05a3db58", "input": "Problem: in a factory , each day the expected number of accidents is related to the number of overtime hour by linear equation . suppose that on one day there were 1000 overtime hours logged and 8 accidents reported and on another day there were 400 overtime hours logged and 5 accidents . what is the expected number of accidents when no overtime hours are logged ? \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6", "output": [ "b" ] }, { "id": "task1421-a14b78863a394197890c85a3245b4249", "input": "Problem: each factor of 200 is inscribed on its own plastic ball , and all of the balls are placed in a jar . if a ball is randomly selected from the jar , what is the probability that the ball is inscribed with a multiple of 40 ? \nOptions: a ) 1 / 6 , b ) 5 / 42 , c ) 1 / 8 , d ) 3 / 16 , e ) 1 / 4", "output": [ "a" ] }, { "id": "task1421-d2dc78675fc24c5eb24ac698899dff18", "input": "Problem: two numbers are in the ratio 3 : 4 . if their l . c . m . is 48 . what is sum of the numbers ? \nOptions: a ) 28 , b ) 56 , c ) 76 , d ) 84 , e ) 85", "output": [ "a" ] }, { "id": "task1421-527494f6dd8f466f9d9afacff060cc6b", "input": "Problem: the incomes of two persons a and b are in the ratio 3 : 4 . if each saves rs . 100 per month , the ratio of their expenditures is 1 : 2 . find their incomes ? \nOptions: a ) 150,287 , b ) 150,219 , c ) 150,200 , d ) 150,298 , e ) 150,217", "output": [ "c" ] }, { "id": "task1421-cf352fdc25474d23a1545577873a2606", "input": "Problem: at garage sale , all of the prices of the items sold were different . if the price of a radio sold at the garage sale was both the 15 th highest price and the 25 th lowest price among the prices of the items sold , how many items were sold at the garage sale ? \nOptions: a ) 33 , b ) 34 , c ) 35 , d ) 39 , e ) 37", "output": [ "d" ] }, { "id": "task1421-e08079dd59004987a2599fe5c4af5059", "input": "Problem: a firm is comprised of partners and associates in a ratio of 2 : 63 . if 50 more associates were hired , the ratio of partners to associates would be 1 : 34 . how many partners are currently in the firm ? \nOptions: a ) 5 , b ) 10 , c ) 12 , d ) 20 , e ) 25", "output": [ "d" ] }, { "id": "task1421-8d4523b9a2d64ebeb8d27e7623ed4e43", "input": "Problem: 70 students are required to paint a picture . 52 use green color and some children use red , 38 students use both the colors . how many students use red color ? \nOptions: a ) 53 , b ) 54 , c ) 55 , d ) 56 , e ) 57", "output": [ "d" ] }, { "id": "task1421-992c2493e2a04cd196a0aa3fdef0a73e", "input": "Problem: the ratio of three numbers is 3 : 4 : 5 and the sum of their squares is 1250 . the sum of the numbers is : \nOptions: a ) 30 , b ) 50 , c ) 60 , d ) 70 , e ) 80", "output": [ "c" ] }, { "id": "task1421-d7da0e032b204e8a9118a5787e3b6b12", "input": "Problem: in a class there are 55 pupil , out of them 10 are in debate only and 18 in singing only . then how many in both ? \nOptions: a ) 132 , b ) 26 , c ) 17 , d ) 11 , e ) 12", "output": [ "c" ] }, { "id": "task1421-56805ec3734b44cabebbd34774c9c45f", "input": "Problem: if 40 % of the 880 students at a certain college are enrolled in biology classes , how many students at the college are not enrolled in a biology class ? \nOptions: a ) 540 , b ) 528 , c ) 530 , d ) 520 , e ) 510", "output": [ "b" ] }, { "id": "task1421-32b4935c1b7147fdb13c8ad2fed0673b", "input": "Problem: in what ratio must tea at rs . 62 per kg be mixed with tea at rs . 72 per kg so that the mixture must be worth rs . 64.50 per kg ? \nOptions: a ) 3 : 1 , b ) 2 : 1 , c ) 5 : 2 , d ) 3 : 2 , e ) 3 : 4", "output": [ "a" ] }, { "id": "task1421-9b7729183fce442995ae04769e0a36f4", "input": "Problem: divide $ 672 among a , b in the ratio 5 : 3 . how many $ that a get ? \nOptions: a ) $ 120 , b ) $ 500 , c ) $ 420 , d ) $ 610 , e ) $ 315", "output": [ "c" ] }, { "id": "task1421-2d272be1640a441d858ee2049e04354b", "input": "Problem: in township k , 1 / 4 of the housing units are equiped with cable tv . if 1 / 10 of the housing units , including 1 / 3 of those that are equiped with cable tv , are equipped with videocassette recorders , what fraction of the housing units have neither cable tv nor videocassette recorders ? \nOptions: a ) 23 / 30 , b ) 11 / 15 , c ) 7 / 10 , d ) 1 / 6 , e ) 2 / 15", "output": [ "b" ] }, { "id": "task1421-fca808d30ab14b2484571ca1b428cea0", "input": "Problem: a girl scout was selling boxes of cookies . in a month , she sold both boxes of chocolate chip cookies ( $ 1.25 each ) and boxes of plain cookies ( $ 0.75 each ) . altogether , she sold 1,585 boxes for a combined value of $ 1 , 585.75 . how many boxes of plain cookies did she sell ? \nOptions: a ) 0 , b ) 233 , c ) 500 , d ) 695 , e ) 791", "output": [ "e" ] }, { "id": "task1421-847c1d74b010485cae8451f20f63759d", "input": "Problem: puzzle ! ! ! 🙂 if 111 = 09 444 = 12 777 = 15 then 888 = ? ? ? \nOptions: a ) 13 , b ) 17 , c ) 18 , d ) 11 , e ) 15", "output": [ "e" ] }, { "id": "task1421-3a16aa9942924902a19fe2946ae150ea", "input": "Problem: the compounded ratio of ( 2 : 3 ) , ( 6 : 11 ) and ( 11 : 2 ) is : \nOptions: a ) 1 : 2 , b ) 5 : 9 , c ) 2 : 1 , d ) 11 : 24 , e ) none", "output": [ "c" ] }, { "id": "task1421-3cd0a3ef8c13454ea18243b9c3da9373", "input": "Problem: in a class of 54 students , 12 enrolled for both english and german . 22 enrolled for german . if the students of the class enrolled for at least one of the two subjects , then how many students enrolled for only english and not german ? \nOptions: a ) 30 , b ) 10 , c ) 18 , d ) 28 , e ) 32", "output": [ "e" ] }, { "id": "task1421-5b0e0984548041d883ae39297066b932", "input": "Problem: x starts a business with rs . 45000 . y joins in the business after 6 months with rs . 30000 . what will be the ratio in which they should share the profit at the end of the year ? \nOptions: a ) 1 : 2 , b ) 2 : 1 , c ) 3 : 1 , d ) 2 : 3 , e ) 5 : 3", "output": [ "c" ] }, { "id": "task1421-0bf17866f3d9437e8899f6241f6687f2", "input": "Problem: a certain bag contains 60 balls — 22 white , 10 green , 7 yellow , 15 red , and 6 purple . if a ball is to be chosen at random , what is the probability that the ball will be neither red nor purple ? \nOptions: a ) 0.09 , b ) 0.65 , c ) 0.54 , d ) 0.85 , e ) 0.91", "output": [ "b" ] }, { "id": "task1421-1d4b218157324c2a825233a4f67a6756", "input": "Problem: find the ratio in which rice at rs . 7.30 a kg be mixed with rice at rs . 5.70 a kg to produce a mixture worth rs . 6.30 a kg \nOptions: a ) 2 : 0 , b ) 2 : 3 , c ) 3 : 5 , d ) 2 : 2 , e ) 2 : 8", "output": [ "c" ] }, { "id": "task1421-446b7aba0a7f405d9f2618ff2a5747aa", "input": "Problem: divide $ 1000 among a , b in the ratio 1 : 3 . how many $ that a get ? \nOptions: a ) $ 50 , b ) $ 500 , c ) $ 150 , d ) $ 250 , e ) $ 600", "output": [ "d" ] }, { "id": "task1421-eb39d901f09945048f25f366ffc08bff", "input": "Problem: there are two positive numbers in the ratio 5 : 8 . if the larger number exceeds the smaller by 36 , then find the smaller number ? \nOptions: a ) 25 , b ) 66 , c ) 77 , d ) 60 , e ) 44", "output": [ "d" ] }, { "id": "task1421-3519b240d866497ba11ff99219c22980", "input": "Problem: two numbers are respectively 20 % and 50 % more than a third number . the ratio of the two numbers is : \nOptions: a ) 3 : 5 , b ) 4 : 5 , c ) 5 : 5 , d ) 4 : 3 , e ) 2 : 1", "output": [ "b" ] }, { "id": "task1421-38218004c8c1486995e3d32dca099243", "input": "Problem: a bottle contains a certain solution . in the bottled solution , the ratio of water to soap is 3 : 2 , and the ratio of soap to salt is four times this ratio . the solution is poured into an open container , and after some time , the ratio of water to soap in the open container is quartered by water evaporation . at that time , what is the ratio of water to salt in the solution ? \nOptions: a ) 12 : 8 , b ) 8 : 16 , c ) 9 : 16 , d ) 8 : 12 , e ) 16 : 9", "output": [ "c" ] }, { "id": "task1421-6d6d8f35e26241b3ac8fe608145c2719", "input": "Problem: the l . c . m of two numbers is 48 . the numbers are in the ratio 1 : 2 . the sum of numbers is : \nOptions: a ) 28 , b ) 30 , c ) 40 , d ) 50 , e ) 72", "output": [ "e" ] }, { "id": "task1421-6863f74387a448e182a72e8c84a62686", "input": "Problem: set x consists of the integers from 10 to 15 , inclusive , while set y consists of the integers from 5 to 10 , inclusive . how many distinct integers do belong to the both sets at the same time ? \nOptions: a ) 5 , b ) 8 , c ) 4 , d ) 1 , e ) 9", "output": [ "d" ] }, { "id": "task1421-ee8b2cbf4c24407d97deee3ec6f03bc8", "input": "Problem: the present ratio of students to teachers at a certain school is 30 to 1 . if the student enrollment were to increase by 50 students and the number of teachers were to increase by 5 , the ratio of students to teachers would then be 25 to 1 . what is the present number of teachers ? \nOptions: a ) 5 , b ) 8 , c ) 10 , d ) 12 , e ) 15", "output": [ "e" ] }, { "id": "task1421-283c69f242b54197829b9577506f3528", "input": "Problem: two whole numbers whose sum is 36 can not be in the ratio \nOptions: a ) 2 : 4 , b ) 3 : 4 , c ) 3 : 6 , d ) 1 : 3 , e ) 3 : 36", "output": [ "b" ] }, { "id": "task1421-9913212b03d944598697c2af5397f54f", "input": "Problem: in a certain animal shelter , the ratio of the number of dogs to the number of cats is 15 to 7 . if 16 additional cats were to be taken in by the shelter , the ratio of the number of dogs to the number of cats would be 15 to 11 . how many dogs are in the shelter ? \nOptions: a ) 15 , b ) 25 , c ) 30 , d ) 45 , e ) 60", "output": [ "e" ] }, { "id": "task1421-7d025de2acb04611a140cd3924cd0729", "input": "Problem: what is the sum of all the prime factors of 220 and 330 ? \nOptions: a ) 15 , b ) 21 , c ) 35 , d ) 41 , e ) 64", "output": [ "d" ] }, { "id": "task1421-422c42baf0d34e7f84c2f700c885ad39", "input": "Problem: x starts a business with rs . 45000 . y joins in the business after 4 months with rs . 30000 . what will be the ratio in which they should share the profit at the end of the year ? \nOptions: a ) 1 : 2 , b ) 2 : 1 , c ) 1 : 3 , d ) 3 : 1 , e ) 9 : 4", "output": [ "e" ] }, { "id": "task1421-9e259514ed96467ea39b7a65f8b70cfb", "input": "Problem: a began business with rs . 45000 and was joined afterwards by b with rs . 5400 . when did b join if the profits at the end of the year were divided in the ratio of 2 : 1 ? \nOptions: a ) 7 , b ) 8 , c ) 9 , d ) 6 , e ) 5", "output": [ "a" ] }, { "id": "task1421-ab2bf19d858f482f924efbd0b39395ba", "input": "Problem: apple costs l rupees per kilogram for first 30 kgs and q rupees per kilogram for each additional kilogram . if the price of 33 kilograms is 663 and for 36 kgs of apples is 726 then the cost of first 10 kgs of apples is \nOptions: a ) 100 , b ) 150 , c ) 200 , d ) 350 , e ) 450", "output": [ "c" ] }, { "id": "task1421-1c09a4e828654bd6b7927ba894cfb16c", "input": "Problem: in the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30 . in the sport formulation , the ratio of flavoring to corn syrup is three times as great as in the standard formulation , and the ratio of flavoring to water is half that of the standard formulation . if a large bottle of the sport formulation contains 1 ounces of corn syrup , how many ounces of water does it contain ? \nOptions: a ) 15 , b ) 30 , c ) 45 , d ) 60 , e ) 90", "output": [ "a" ] }, { "id": "task1421-8809ee59fd48477e92959c7ae274e820", "input": "Problem: if shares of two persons in profits are rs . 800 and rs . 600 then ratio of their capitals is \nOptions: a ) 3 : 4 , b ) 2 : 3 , c ) 4 : 3 , d ) 1 : 3 , e ) 1 : 5", "output": [ "c" ] }, { "id": "task1421-e904cfc62b2a4924bd181bbf4517eb53", "input": "Problem: if 1 = 6 2 = 12 3 = 18 4 = 24 5 = 30 6 = 36 then 12 = ? hint : its a logic riddle not a mathematical riddle \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "b" ] }, { "id": "task1421-1cd6294906ef405792456a3ac8faef16", "input": "Problem: in a college the ratio of the numbers of boys to the girls is 8 : 5 . if there are 190 girls , the total number of students in the college is ? \nOptions: a ) 562 , b ) 356 , c ) 452 , d ) 494 , e ) 512", "output": [ "d" ] }, { "id": "task1421-332f13d93c334c8f99a9516b2d12980c", "input": "Problem: in assembling a bluetooth device , a factory uses one of two kinds of modules . one module costs $ 8 and the other one , that is cheaper , costs $ 3 . the factory holds a $ 100 worth stock of 25 modules . how many of the modules in the stock are of the cheaper kind ? \nOptions: a ) 21 , b ) 20 , c ) 22 , d ) 23 , e ) 24", "output": [ "b" ] }, { "id": "task1421-07f78d74da1246d5a12113175a342130", "input": "Problem: a bag contains 4 red , 5 blue and 3 green balls . if 3 ballsare picked at random , what is the probability that both are red ? \nOptions: a ) 1 / 33 , b ) 1 / 22 , c ) 1 / 12 , d ) 1 / 44 , e ) 1 / 55", "output": [ "e" ] }, { "id": "task1421-c0eda01ecd3a41a1bcda84e8619aafd4", "input": "Problem: the ratio of three numbers is 1 : 2 : 3 and their sum is 60 . the second number of the three numbers is ? \nOptions: a ) 24 , b ) 26 , c ) 20 , d ) 29 , e ) 30", "output": [ "c" ] }, { "id": "task1421-08e52a933bc94b9d88807308b46a988f", "input": "Problem: a container holding 9 ounces of a solution that is 1 part alcohol to 2 parts water is added to a container holding 8 ounces of a solution that is 1 part alcohol to 3 parts water . what is the ratio of alcohol to water in the resulting solution ? \nOptions: a ) 2 : 5 , b ) 3 : 7 , c ) 3 : 5 , d ) 5 : 12 , e ) 7 : 3", "output": [ "d" ] }, { "id": "task1421-562e2ede5624475198504e687e1bf1f7", "input": "Problem: among 200 students , 56 % study sociology , 44 % study mathematics and 40 % study biology . if 30 % of students study both mathematics and sociology , what is the largest possible number of students who study biology but do not study either mathematics or sociology ? \nOptions: a ) 60 , b ) 90 , c ) 120 , d ) 172 , e ) 188", "output": [ "a" ] }, { "id": "task1421-a98aa794514a4b4cbe72ecedc05eeb6d", "input": "Problem: in a school 10 % of the boys are same in number as 1 / 4 th of the girls . what is the ratio of boys to the girls in the school ? \nOptions: a ) 5 : 2 , b ) 2 : 3 , c ) 1 : 4 , d ) 3 : 7 , e ) 2 : 5", "output": [ "a" ] }, { "id": "task1421-d67ed9e0d5b74e59937cbd27a127716b", "input": "Problem: how many factors of 440 are odd numbers greater than 1 ? \nOptions: a ) 2 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "a" ] }, { "id": "task1421-e046c7db76db4de3876cdfbef6827339", "input": "Problem: a bag contains 6 green balls and 7 white balls . if two balls are drawn simultaneously , what is the probability that both balls are the same colour ? \nOptions: a ) 2 / 7 , b ) 3 / 10 , c ) 5 / 11 , d ) 6 / 13 , e ) 11 / 21", "output": [ "d" ] }, { "id": "task1421-56f0d5f5dd604ba3af12602fd5f21dd8", "input": "Problem: a certain car dealership sells economy cars , luxury cars , and sport utility vehicles . the ratio of economy to luxury cars is 3 : 5 . the ratio of economy cars to sport utility vehicles is 4 : 3 . what is the ratio of luxury cars to sport utility vehicles ? \nOptions: a ) 9 : 8 , b ) 8 : 9 , c ) 3 : 2 , d ) 20 : 9 , e ) 1 : 2", "output": [ "d" ] }, { "id": "task1421-eeabedeabe294393b835f85d971bb4b7", "input": "Problem: in a colony of 70 resident s , the ratio of the number of men and women is 4 : 3 . among the women , the ratio of the educated to the uneducated is 1 : 4 . if the ratio of the number of education to uneducated persons is 8 : 27 , then find the ratio of the number of educated and uneducated men in the colony ? \nOptions: a ) 1 : 9 , b ) 1 : 6 , c ) 1 : 3 , d ) 1 : 1 , e ) 1 ratio 3", "output": [ "e" ] }, { "id": "task1421-1fe866dbed1e40e7879a4464c9cee797", "input": "Problem: bag a contains red , white and blue marbles such that the red to white marble ratio is 1 : 3 and the white to blue marble ratio is 2 : 3 . bag b contains red and white marbles in the ratio of 1 : 4 . together , the two bags contain 36 white marbles . how many red marbles could be in bag a ? \nOptions: a ) 1 , b ) 3 , c ) 4 , d ) 6 , e ) 8", "output": [ "e" ] }, { "id": "task1421-bcd1c1d8d1c0460688ecc6f23311813c", "input": "Problem: a bag holds 4 red marbles and 5 green marbles . if you removed two randomly selected marbles from the bag , without replacement , what is the probability that both would be red ? \nOptions: a ) 1 / 10 , b ) 1 / 6 , c ) 3 / 10 , d ) 2 / 5 , e ) 1 / 4", "output": [ "b" ] }, { "id": "task1421-1ac44f57b9544d2e952421d4b72896e2", "input": "Problem: in a college , the ratio of the number of boys to girls is 6 : 5 . if there are 200 girls , the total number of students in the college is \nOptions: a ) 440 , b ) 520 , c ) 620 , d ) 720 , e ) 820", "output": [ "a" ] }, { "id": "task1421-4ba7102fbf834c3699f2e2332990dacf", "input": "Problem: in a class of 50 students , 18 take chorus , 26 take band , and 2 take both chorus and band . how many students in the class are not enrolled in either chorus or band ? \nOptions: a ) 8 , b ) 12 , c ) 15 , d ) 16 , e ) 18", "output": [ "a" ] }, { "id": "task1421-495490b29f5f4241a5b6e7d4b082e1c8", "input": "Problem: nitin ranks 23 th in a class of 60 students . what is rank from the last ? \nOptions: a ) 33 , b ) 38 , c ) 32 , d ) 28 , e ) 19", "output": [ "b" ] }, { "id": "task1421-bf687805a8674a67932d2854edc4b6cf", "input": "Problem: a certain music store stocks 800 cellos and 600 violas . of these instruments , there are 70 cello - viola pairs , such that a cello and a viola were both made with wood from the same tree ( each tree can make at most one viola and one cello , so there are no pairs other than these 90 ) . if one viola and one cello are chosen at random , what is the probability that the two instruments are made with wood from the same tree ? \nOptions: a ) 3 / 16,000 , b ) 1 / 8,100 , c ) 7 / 48,000 , d ) 1 / 90 , e ) 2 / 45", "output": [ "c" ] }, { "id": "task1421-dac2a98926dd4ed1bd6c946e55fb8ff5", "input": "Problem: the ratio of pens to pencils is 5 to 6 . there are 4 more pencils than pens . how many pencils are there ? \nOptions: a ) 12 , b ) 16 , c ) 20 , d ) 24 , e ) 28", "output": [ "d" ] }, { "id": "task1421-9029b40400274bf8976fec85254d7050", "input": "Problem: the h . c . f . of two numbers is 59 and the other two factors of their l . c . m . are 13 and 16 . the larger of the two numbers is : \nOptions: a ) 678 , b ) 944 , c ) 456 , d ) 323 , e ) 899", "output": [ "b" ] }, { "id": "task1421-89f8f0ae699a4b799bd9641a8fea47fe", "input": "Problem: in a sports club with 30 members , 17 play badminton and 21 play tennis and 2 do not play either . how many members play both badminton and tennis ? \nOptions: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11", "output": [ "d" ] }, { "id": "task1421-42c91435a0dc4fd89c8dcfd9b46654f0", "input": "Problem: a bottle contains a certain solution . in the bottled solution , the ratio of water to soap is 3 : 2 , and the ratio of soap to salt is four times this ratio . the solution is poured into an open container , and after some time , the ratio of water to soap in the open container is halved by water evaporation . at that time , what is the ratio of water to salt in the solution ? \nOptions: a ) 1 : 1 , b ) 2 : 3 , c ) 3 : 2 , d ) 9 : 4 , e ) 36 : 8", "output": [ "e" ] }, { "id": "task1421-df96ae3d6f2e4766983ef0ece16ca210", "input": "Problem: a person want to give his money of $ 1800 to his 3 children a , b , c in the ratio 2 : 3 : 4 . what is the b ' s share ? \nOptions: a ) $ 700 , b ) $ 600 , c ) $ 900 , d ) $ 500 , e ) $ 400", "output": [ "b" ] }, { "id": "task1421-c3e4652cd76542c3afa2fd55b9f63413", "input": "Problem: an urn contains 10 black and 5 white balls . two balls are drawn from the urn one after the other without replacement . what is the probability that both drawn balls are black ? \nOptions: a ) 1 / 5 , b ) 3 / 7 , c ) 2 / 5 , d ) 3 / 5 , e ) 2 / 7", "output": [ "b" ] }, { "id": "task1421-f1e9bb80fdde46f19919455db7c061f2", "input": "Problem: what is the square root of 121 ? \nOptions: a ) 11 , b ) 12 , c ) 16 , d ) 18 , e ) 25", "output": [ "a" ] }, { "id": "task1421-a4b4a5fd31c7457a83685558bdb132ef", "input": "Problem: a 30 kg metal bar made of alloy of tin and silver lost 3 kg of its weight in the water . 10 kg of tin loses 1.375 kg in the water ; 5 kg of silver loses 0.375 kg . what is the ratio of tin to silver in the bar ? \nOptions: a ) 1 / 4 , b ) 2 / 5 , c ) 1 / 2 , d ) 3 / 5 , e ) 2 / 3", "output": [ "e" ] }, { "id": "task1421-a5eceddd1f1749889de4e20a10cef200", "input": "Problem: compound x contains elements a and b at an approximate ratio , by weight , of 2 : 10 . approximately how many grams of element b are there in 342 grams of compound x ? \nOptions: a ) 54 , b ) 162 , c ) 250 , d ) 270 , e ) 280", "output": [ "e" ] }, { "id": "task1421-2058a3a97bf5435f95bd844d226c3548", "input": "Problem: the ratio of three numbers is 1 : 3 : 4 and the sum of their squares is 2600 . the sum of the numbers is ? \nOptions: a ) a ) 10 , b ) b ) 12 , c ) c ) 15 , d ) d ) 14 , e ) e ) 9", "output": [ "a" ] }, { "id": "task1421-66411cf2252345abb9227cee2bb1dccd", "input": "Problem: in the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30 . in the sport formulation , the ratio of flavoring to corn syrup is three times as great as in the standard formulation , and the ratio of flavoring to water is half that of the standard formulation . if a large bottle of the sport formulation contains 6 ounces of corn syrup , how many ounces of water does it contain ? \nOptions: a ) 45 , b ) 50 , c ) 55 , d ) 60 , e ) 90", "output": [ "e" ] }, { "id": "task1421-97b09a73aa474ee284b0252ab281e42d", "input": "Problem: the simple form of the ratio 8 / 5 : 2 / 3 is ? \nOptions: a ) 12 : 5 , b ) 12 : 7 , c ) 7 : 12 , d ) 5 : 7 , e ) 4 : 7", "output": [ "a" ] }, { "id": "task1421-1efbf095e2bc4834aa94291b23ab6719", "input": "Problem: income and expenditure of a person are in the ratio 4 : 3 . if the income of the person is rs . 20000 , then find his savings ? \nOptions: a ) rs . 3600 , b ) rs . 3603 , c ) rs . 3639 , d ) rs . 3632 , e ) rs . 5000", "output": [ "e" ] }, { "id": "task1421-60fca0adb8804cceb1f7f6f68a590086", "input": "Problem: two assembly line inspectors , smithy and glen , inspect widgets as they come off the assembly line . if smithy inspects every fifth widget , starting with the fifth , and glen inspects every third , starting with the third , how many of the 98 widgets produced in the first hour of operation are not inspected by either inspector ? \nOptions: a ) 50 , b ) 53 , c ) 55 , d ) 60 , e ) 65", "output": [ "b" ] }, { "id": "task1421-e225d14119f548228ea307e493753982", "input": "Problem: if the ratio of two number is 5 : 7 and lcm of the number is 320 then what is the number . \nOptions: a ) 15 , b ) 9 , c ) 10 , d ) 11 , e ) 35", "output": [ "b" ] }, { "id": "task1421-d5697739789c4f019ab5bfa33c8f39e5", "input": "Problem: apple costs l rupees per kilogram for first 30 kgs and q rupees per kilogram for each additional kilogram . if the price of 33 kilograms is 168 and for 36 kgs of apples is 186 then the cost of first 20 kgs of apples is \nOptions: a ) 3.69 , b ) 3.66 , c ) 3.6 , d ) 100 , e ) 3.61", "output": [ "d" ] }, { "id": "task1421-be41486293fa4a33b645e94b3c7ed0c5", "input": "Problem: in a graduating class of 233 students , 144 took geometry and 119 took biology . what is the difference between the greatest possible number and the smallest possible number of students that could have taken both geometry and biology ? \nOptions: a ) 114 , b ) 119 , c ) 113 , d ) 88 , e ) 31", "output": [ "a" ] }, { "id": "task1421-107ef4701aaf464a99d617ba9a60358b", "input": "Problem: the duplicate ratio of 6 : 4 is ? \nOptions: a ) 1 : 2 , b ) 9 : 4 , c ) 1 : 8 , d ) 1 : 18 , e ) 1 : 13", "output": [ "b" ] }, { "id": "task1421-af8ebf64af77470bb68bcd98ff53d5b8", "input": "Problem: the ratio between the sale price and the cost price of an article is 6 : 2 . what is the ratio between the profit and the cost price of that article ? \nOptions: a ) 23 , b ) 1 : 2 , c ) 2 : 5 , d ) 3 : 5 , e ) 2 : 1", "output": [ "e" ] }, { "id": "task1421-01bd68c75ea748f78d117259009bc297", "input": "Problem: what is the greatest positive integer n such that 3 ^ n is a factor of 36 ^ 150 ? \nOptions: a ) 100 , b ) 200 , c ) 300 , d ) 600 , e ) 900", "output": [ "c" ] }, { "id": "task1421-7f3461f928034a96b900bac50ebb7c3a", "input": "Problem: there are 250 doctors and nurses at a hospital . if the ratio of doctors to nurses is 2 to 3 , how many nurses are at the hospital ? \nOptions: a ) 134 , b ) 138 , c ) 142 , d ) 146 , e ) 150", "output": [ "e" ] }, { "id": "task1421-20bfe7c48883430c82fa6782f683441c", "input": "Problem: sandy is younger than molly by 20 years . if the ratio of their ages is 7 : 9 , how old is sandy ? \nOptions: a ) 42 , b ) 49 , c ) 56 , d ) 63 , e ) 70", "output": [ "e" ] }, { "id": "task1421-09c902f162424810acfed01ab66c07e8", "input": "Problem: what is the square root of 96,721 ? \nOptions: a ) 476 , b ) 489 , c ) 289 , d ) 511 , e ) 311", "output": [ "e" ] }, { "id": "task1421-85fbb55e6bc1406fbf5f2eb611535edf", "input": "Problem: if m = 3 ^ n , what is the greatest value of n for which m is a factor of 31 ! \nOptions: a ) 8 , b ) 10 , c ) 12 , d ) 14 , e ) 16", "output": [ "d" ] }, { "id": "task1421-8a739aa74dd94c3aa1616fcb977d06bf", "input": "Problem: in what ratio mental a at rs . 68 per kg be mixed with another metal at rs . 96 per kg so that cost of alloy ( mixture ) is rs . 78 per kg ? \nOptions: a ) 5 : 8 , b ) 4 : 7 , c ) 3 : 7 , d ) 9 : 5 , e ) 9 : 8", "output": [ "d" ] }, { "id": "task1421-0b5c44bc68cd4302937c24f253e93145", "input": "Problem: log 3 n + log 5 n what is 3 digit number n that will be whole number \nOptions: a ) 629 , b ) 729 , c ) 829 , d ) 125 , e ) 727", "output": [ "d" ] }, { "id": "task1421-7f21f8396ff04c8cbc2c77783eb0ee8a", "input": "Problem: a dog takes 5 leaps for every 7 leaps of a hare . if one leap of the dog is equal to 3 leaps of the hare , the ratio of the speed of the dog to that of the hare is : \nOptions: a ) 16 : 7 , b ) 15 : 7 , c ) 20 : 7 , d ) 7 : 15 , e ) 14 : 7", "output": [ "b" ] }, { "id": "task1421-d9c3ad8023464ec28fec0f6a6d3634f5", "input": "Problem: the h . c . f of two numbers is 23 and the other two factors of their l . c . m are 12 and 13 . the larger of the two numbers is : \nOptions: a ) 299 , b ) 278 , c ) 322 , d ) 231 , e ) 121", "output": [ "a" ] }, { "id": "task1421-6f6edd481fdd41d58fb99e074ab31b15", "input": "Problem: if the ratio of the sum of the first 6 terms of a g . p . to the sum of the first 3 terms of the g . p . is 343 , what is the common ratio of the g . p ? \nOptions: a ) 3 , b ) 1 / 3 , c ) 2 , d ) 7 , e ) 1 / 7", "output": [ "d" ] }, { "id": "task1421-3eed1ed40a9b4728af4b08c747083178", "input": "Problem: in what ratio must a grocer mix two varieties of pulses costing rs . 15 and rs . 20 per kg respectively so as to get a mixture worth rs . 16.50 kg ? \nOptions: a ) 7 : 3 , b ) 3 : 7 , c ) 4 : 6 , d ) 5 : 7 , e ) 8 : 9", "output": [ "a" ] }, { "id": "task1421-7d4c78c02f1744f5926fa535e96023d5", "input": "Problem: a certain manufacturer of cake , muffin , and bread mixes has 100 buyers , of whom 50 purchases cake mix , 40 purchase muffin mix , and 19 purchase both cake mix and muffin mix . if a buyer is to be selected at random from the 100 buyers , what is the probability that the buyer selected will be one who purchases neither cake mix nor muffin mix ? \nOptions: a ) 1 / 10 , b ) 3 / 10 , c ) 1 / 2 , d ) 7 / 10 , e ) 29 / 100", "output": [ "e" ] }, { "id": "task1421-fb21672dd3b64dbeb8f787bb1a6747c7", "input": "Problem: john distributes his pencil among his 4 friends rose , mary , ranjan , and rohit in the ratio 1 / 5 : 1 / 3 : 1 / 4 : 1 / 5 . what is the minimum no . of pencils that the person should have ? \nOptions: a ) 59 , b ) 65 , c ) 70 , d ) 77 , e ) 98", "output": [ "a" ] }, { "id": "task1421-c2f329fb2d29479ebe3bd7cd48ddd70d", "input": "Problem: the h . c . f . of two numbers is 30 and the other two factors of their l . c . m . are 25 and 24 . the larger of the two numbers is \nOptions: a ) 276 , b ) 799 , c ) 712 , d ) 750 , e ) none", "output": [ "d" ] }, { "id": "task1421-64347db5a6534dd1bde07cc3c131f2b5", "input": "Problem: two vessels p and q contain 62.5 % and 87.5 % of alcohol respectively . if 4 litres from vessel p is mixed with 8 litres from vessel q , the ratio of alcohol and water in the resulting mixture is ? \nOptions: a ) 19 : 1 , b ) 19 : 4 , c ) 19 : 8 , d ) 38 : 10 , e ) 38 : 2", "output": [ "d" ] }, { "id": "task1421-4cd0fc2ce2be47ecaed898e84f1a6edc", "input": "Problem: tea worth rs . 126 per kg are mixed with a third variety in the ratio 1 : 1 : 2 . if the mixture is worth rs . 157 per kg , the price of the third variety per kg will be \nOptions: a ) rs . 179.50 , b ) rs . 1700 , c ) rs . 175.50 , d ) rs . 180 , e ) none", "output": [ "a" ] }, { "id": "task1421-3982c4c0850045d19ab2856cc7070cd3", "input": "Problem: the ratio between the sale price and the cost price of an article is 7 : 5 . what is the ratio between the profit and the cost price of that article ? \nOptions: a ) 2 : 8 , b ) 2 : 1 , c ) 2 : 2 , d ) 2 : 4 , e ) 2 : 5", "output": [ "e" ] }, { "id": "task1421-5d1ee84b13964b55983b5a006720f5a2", "input": "Problem: a 70 kg metal bar made of alloy of tin and silver lost 7 kg of its weight in the water . 10 kg of tin loses 1.375 kg in the water ; 5 kg of silver loses 0.375 kg . what is the ratio of tin to silver in the bar ? \nOptions: a ) 1 / 4 , b ) 2 / 5 , c ) 1 / 2 , d ) 3 / 5 , e ) 2 / 3", "output": [ "e" ] }, { "id": "task1421-6a0c9821836342ba984c69e8ddc2d4b0", "input": "Problem: find the number of zeroes at the end of 50 ! \nOptions: a ) 10 , b ) 11 , c ) 12 , d ) 13 , e ) 14", "output": [ "c" ] }, { "id": "task1421-24bd2643000b4357b7ada20fd0a09785", "input": "Problem: how many of the positive factors of 19 are not factors of 29 ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4", "output": [ "b" ] }, { "id": "task1421-72c3376399a6494486e935640bfc5dbd", "input": "Problem: if g and f are both odd prime numbers andg < f , then how many different positive integer factors does 2 gfhave ? \nOptions: a ) 3 , b ) 4 , c ) 6 , d ) 8 , e ) 12", "output": [ "d" ] }, { "id": "task1421-034b97e361424d44ac777ddf2dec71e3", "input": "Problem: find the compound ratio of ( 2 : 5 ) , ( 6 : 11 ) and ( 11 : 2 ) is \nOptions: a ) 3 : 2 , b ) 2 : 1 , c ) 1 : 2 , d ) 6 : 5 , e ) 2 : 3", "output": [ "d" ] }, { "id": "task1421-6250038a68d74be180793b4bcc5c48e5", "input": "Problem: the marks obtained by polly and sandy are in the ratio 3 : 5 and those obtained by sandy and willy are in the ratio of 5 : 2 . the marks obtained by polly and willy are in the ratio of . . . ? \nOptions: a ) 2 : 1 , b ) 3 : 2 , c ) 4 : 3 , d ) 5 : 4 , e ) 6 : 5", "output": [ "b" ] }, { "id": "task1421-b6c954ccb960404db006add81c1092c3", "input": "Problem: a shipment of 220 smartphones contains 84 that are defective . if a customer buys two smartphones at random from the shipment , what is the approximate probability that both phones are defective ? \nOptions: a ) 1 / 250 , b ) 1 / 84 , c ) 11 / 76 , d ) 1 / 9 , e ) 1 / 3", "output": [ "c" ] } ], "Instance License": [ "Apache 2.0" ] }