{ "Contributors": [ "Adheesh Wadkar" ], "Source": [ "math_qa" ], "URL": [ "https://huggingface.co/datasets/math_qa" ], "Categories": [ "Question Answering" ], "Reasoning": [ "Quantitative Reasoning", "Scientific Reasoning", "Mathematics -> Combinatorics", "Mathematics -> Arithmetic" ], "Definition": [ "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid." ], "Input_language": [ "English" ], "Output_language": [ "English" ], "Instruction_language": [ "English" ], "Domains": [ "Mathematics" ], "Positive Examples": [ { "input": "Problem: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?\nOptions: a. 24, b. 120, c. 625, d. 720, e. 1024", "output": "c", "explanation": "5 choices for each of the 4 questions, thus total r of 5 * 5 * 5 * 5 = 5 ^ 4 = 625 ways to answer all of them. Hence, the answer is c." }, { "input": "Problem: a 3 - digit positive integer is chosen at random. what is the probability that the product of its digits is even ?\nOptions: a. 1 / 2, b. 31 / 36, c. 49 / 54, d. 7 / 8, e. 11 / 12", "output": "b", "explanation": "p ( three odd digits ) = 5 / 9 * 5 / 10 * 5 / 10 = 5 / 36 ( first digit can not be 0, so we have a total of 9 digits, 4 even and 5 odd.. therefore, p ( at least one even digit ) = 1 - 5 / 36 = 31 / 36. Hence, the answer is b." } ], "Negative Examples": [ { "input": "Problem: if x and y are positive integers and 7 + x + y + xy = 21, what is the value of x + y ?\nOptions: a. 3, b. 5, c. 6, d. 8, e. 9", "output": "a", "explanation": "This is a bad answer, because it is an incorrect option. The correct answer is c, because \"try each answer choices. for a: 7 + 3 + xy = 21; xy = 11 ( impossible, 11 prime number. 1 + 11 does n ' t equal 3 ) for b: 7 + 5 + xy = 21; xy = 9 ( no combination of xy = 9 and x + y = 5 ) for c: 7 + 6 + xy = 21; xy = 8 ( x + y = 6; x = 2, y = 4 or x = 4, y = 2 ) for d: 7 + 8 + xy = 21; xy = 6 ( no combination of xy = 6 and x + y = 8 ) for e: 7 + 9 + xy = 21; xy = 5 ( impossible, 5 prime number. 1 + 5 does n ' t equal 9 ) therefore, answer c.\"" }, { "input": "Problem: the hcf and lcm of two numbers m and n are respectively 6 and 210. if m + n = 72, then 1 / m + 1 / n is equal to\nOptions: a. 1 / 35, b. 3 / 35, c. 5 / 37, d. 2 / 35, e. none", "output": "a", "explanation": "This is a bad answer, because it is an incorrect option. The correct answer is d, because \"p ( three odd digits ) = 5 / 9 * 5 / 10 * 5 / 10 = 5 / 36 ( first digit can not be 0, so we have a total of 9 digits, 4 even and 5 odd.. therefore, p ( at least one even digit ) = 1 - 5 / 36 = 31 / 36. answer b.\"" } ], "Instances": [ { "id": "task1678-b5f50d2ca90a45a3a35479c4f336ad94", "input": "Problem: in a kilometer race, a beats b by 48 meters or 12 seconds. what time does a take to complete the race ?\nOptions: a. 238 sec, b. 190 sec, c. 667 sec, d. 167 sec, e. 176 sec", "output": [ "a" ] }, { "id": "task1678-2e505a5e30824deda95689b0183527a2", "input": "Problem: in a school of 650 boys, 44 % of muslims, 28 % hindus, 10 % sikhs and the remaining of other communities. how many belonged to the other communities ?\nOptions: a. 173, b. 163, c. 153, d. 143, e. 117", "output": [ "e" ] }, { "id": "task1678-3c5ee60072d64a6cb3d62b9d0987a4c9", "input": "Problem: a can do a piece of work in 4 hours; b and c together can do it in 3 hours, while a and c together can do it 2 hours. how long will b alone take to do it ?\nOptions: a. 8 hours, b. 10 hours, c. 12 hours, d. 24 hours, e. none of these", "output": [ "c" ] }, { "id": "task1678-13c61fd5d67d44f08513c942321ab708", "input": "Problem: in a group of 160 people, 90 have an age of more 30 years, and the others have an age of less than 20 years. if a person is selected at random from this group, what is the probability the person ' s age is less than 20 ?\nOptions: a. 0.44, b. 0.55, c. 0.65, d. 0.75, e. 0.85", "output": [ "a" ] }, { "id": "task1678-b77ded595e9a43bca6fbb033abc8e8a5", "input": "Problem: an art gallery has only paintings and sculptures. currently, 1 / 3 of the pieces of art are displayed, and 1 / 6 of the pieces on display are sculptures. if 1 / 3 of the pieces not on display are paintings, and 800 sculptures are not on display, how many pieces of art does the gallery have ?\nOptions: a. 360, b. 1800, c. 540, d. 640, e. 720", "output": [ "b" ] }, { "id": "task1678-8cd6ac777a7a4e04b99bd0879e1ff4ed", "input": "Problem: if x and y are integers and | x - y | = 10, what is the minimum possible value of xy ?\nOptions: a. - 9, b. - 18, c. - 24, d. - 25, e. - 48", "output": [ "d" ] }, { "id": "task1678-3abf611508ae4a5386282e1a7455d63a", "input": "Problem: two trains, one from howrah to patna and the other from patna to howrah, start simultaneously. after they meet, the trains reach their destinations after 25 hours and 16 hours respectively. the ratio of their speeds is ?\nOptions: a. 4: 6, b. 4: 3, c. 4: 9, d. 4: 5, e. 4: 2", "output": [ "d" ] }, { "id": "task1678-e5c1aefd5e07453b9ee793a110c7ff53", "input": "Problem: one copy machine can make 20 copies a minute, and a second copy machine makes 10 copies a minute. if the two copiers work together, how long would it take them to make 900 copies ?\nOptions: a. 10 minutes, b. 20 minutes, c. 25 minutes, d. 30 minutes, e. 35 minutes", "output": [ "d" ] }, { "id": "task1678-6a3bdd967bb14199bed0eaddaa03e9be", "input": "Problem: at what rate of compound interest per annum will a sum of rs. 1200 become rs. 1348.32 in 2 years ?\nOptions: a. 6 %, b. 6.5 %, c. 7 %, d. 7.5 %, e. 8 %", "output": [ "a" ] }, { "id": "task1678-c99c4bd44a8f4f77884dd2fb16be3f27", "input": "Problem: in the first 10 overs of a cricket game, the run rate was only 6.2. what should be the run rate in the remaining 40 overs to reach the target of 282 runs ?\nOptions: a. 6.25, b. 5.5, c. 6.75, d. 7, e. 8", "output": [ "b" ] }, { "id": "task1678-6c2e991f61fb4bc3b270edd3c2def834", "input": "Problem: given f ( x ) = 3 x – 5, for what value of x does 2 * [ f ( x ) ] + 2 = f ( 3 x – 6 )\nOptions: a. 0, b. 4, c. 5, d. 7, e. 13", "output": [ "c" ] }, { "id": "task1678-bdda778727b74b26ba8a66735ff04787", "input": "Problem: during a car trip, maria stopped to rest after she traveled 1 / 2 of the total distance to her destination. she stopped again after she traveled 1 / 4 of the distance remaining between her first stop and her destination, and then she drove the remaining 135 miles to her detination. what was the total distance, in miles from maria ' s starting point to her destination ?\nOptions: a. 280, b. 320, c. 360, d. 420, e. 480", "output": [ "c" ] }, { "id": "task1678-f50c556ce12f487d81667bb1934441d3", "input": "Problem: 5, 11, 23, 41, 64, _\nOptions: a. 95, b. 96, c. 97, d. 98, e. 99", "output": [ "a" ] }, { "id": "task1678-dfb9a5bc37a541538c5095a0261879bb", "input": "Problem: the smallest number which when diminished by 6, is divisible 12, 14, 16, 18 and 22 is :\nOptions: a. 11099, b. 11094, c. 11091, d. 10323, e. 10483", "output": [ "b" ] }, { "id": "task1678-9d98321301f54768bfde99227f2e99ff", "input": "Problem: 3 pumps, working 8 hours a day, can empty a tank in 2 days. how many hours a day must 15 pumps work to empty the tank in 1 day ?\nOptions: a. 3.5, b. 4.8, c. 5.1, d. 5.2, e. 6.3", "output": [ "a" ] }, { "id": "task1678-71cd872bbad44b14bbdb5208cfa6c117", "input": "Problem: a and b go around a circular track of length 600 m on a cycle at speeds of 36 kmph and 54 kmph. after how much time will they meet for the first time at the starting point ?\nOptions: a. 120, b. 775, c. 555, d. 288, e. 278", "output": [ "a" ] }, { "id": "task1678-9a12660798c84c1284602bd983b10b4a", "input": "Problem: if x and y are integers and 2 x – y = 11, then 4 x + y can not be\nOptions: a. – 5, b. 1, c. 13, d. 17, e. 55", "output": [ "d" ] }, { "id": "task1678-b97b50548d494165b298c451e3a79424", "input": "Problem: the ratio of ducks and frogs in a pond is 37: 39 respectively. the average number of ducks and frogs in the pond is 132. what is the number of frogs in the pond ?\nOptions: a. 148, b. 134, c. 156, d. 144, e. none", "output": [ "b" ] }, { "id": "task1678-69064b9c0b0248d8b45b129f70ff6c41", "input": "Problem: calculate the circumference of a circular field whose radius is 7 centimeters.\nOptions: a. 11 π cm, b. 15 π cm, c. 1 π cm, d. 4 π cm, e. 14 π cm", "output": [ "e" ] }, { "id": "task1678-19c40b5021fe4d8c9b71205666176c1e", "input": "Problem: a certain car can travel 32 kilometers on a liter of fuel. if the fuel tank ’ s contents decrease by 3.9 gallons over a period of 5.7 hours as the car moves at a constant speed, how fast is the car moving, in miles per hour ? ( 1 gallon = 3.8 liters; 1 mile = 1.6 kilometers )\nOptions: a. 52, b. 65, c. 78, d. 91, e. 104", "output": [ "a" ] }, { "id": "task1678-2801fb059c0a4ef69708190488a92137", "input": "Problem: a, b, c and d enter into partnership. a subscribes 1 / 3 of the capital b 1 / 4, c 1 / 5 and d the rest. how much share did c get in a profit of rs. 2430 ?\nOptions: a. s. 432, b. s. 486, c. s. 822, d. s. 812, e. s. 810", "output": [ "b" ] }, { "id": "task1678-51b2924c6e634e8aaff669cea1c34d92", "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": "task1678-cc6d7605471d4e6cad9e6a2dba5a9633", "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": "task1678-d2e0c5600046486090bfcfd26acea929", "input": "Problem: a woman complete a journey in 20 hours. she travels first half of the journey at the rate of 21 km / hr and second half at the rate of 24 km / hr. find the total journey in km.\nOptions: a. 334 km., b. 216 km., c. 314 km., d. 448 km., e. 544 km.", "output": [ "d" ] }, { "id": "task1678-edb62e87decf4a1da9ca7d3d8910b2c6", "input": "Problem: find the compound interest on $ 1200 for 6 years at 20 % p. a. if ci is component yearly ?\nOptions: a. $ 120, b. $ 150, c. $ 2383, d. $ 250, e. $ 300", "output": [ "c" ] }, { "id": "task1678-c50b1c2cd9af45f7940644f22c0ef496", "input": "Problem: you need to unlock a secret code using following clues, can you ? here you have the clues: clue - 1: 0 7 9 ( one of the numbers is correct and is placed in its correct position ) clue - 2: 0 3 2 ( nothing is correct ) clue - 3: 1 0 8 ( two numbers are correct but not placed at its correct position. ) clue - 4: 9 2 6 ( one number is correct but not placed at its correct position. ) clue - 5: 6 7 8 ( one number is correct but not placed at its correct position. )\nOptions: a. 819, b. 918, c. 198, d. 189, e. 891", "output": [ "a" ] }, { "id": "task1678-be68ac78df944ec6a42c2faa0ea20a50", "input": "Problem: two positive integers differ by 4, and sum of their reciprocals is 2. then one of the numbers is\nOptions: a. a. 3, b. 2, c. c. 5, d. d. 21, e. e. 28", "output": [ "b" ] }, { "id": "task1678-328e1b9cd8d94809a613b9c7ac8bfba9", "input": "Problem: set s contains exactly 10 numbers and has an average ( arithmetic mean ) of 6.2. if one of the numbers in set s is increased by 7, while all other numbers remain the same, what is the new average of set s ?\nOptions: a. 6.6, b. 6.7, c. 6.8, d. 6.85, e. 6.9", "output": [ "e" ] }, { "id": "task1678-d5cf409db8da48c4b79b776d9f10cec6", "input": "Problem: if p ( a. = 1 / 5 and p ( b. = 2 / 5, find p ( a n b. if a and b are independent events.\nOptions: a. 7 / 25, b. 3 / 25, c. 8 / 25, d. 2 / 25, e. 3 / 17", "output": [ "d" ] }, { "id": "task1678-ff1e25b5b43b4786afae429fe3f2d9c7", "input": "Problem: a train is 320 meter long is running at a speed of 45 km / hour. in what time will it pass a bridge of 140 meter length ?\nOptions: a. 11 seconds, b. 38 seconds, c. 40 seconds, d. 88 seconds, e. 36.8 seconds", "output": [ "e" ] }, { "id": "task1678-a3dec8c650b14ef0aeed89477cf182cb", "input": "Problem: if a is a positive integer, and if the units digit of a ^ 2 is 9 and the units digit of ( a + 1 ) ^ 2 is 4, what is the units x digit of ( a + 2 ) ^ 2 ?\nOptions: a. 1, b. 3, c. 5, d. 6, e. c. 14", "output": [ "a" ] }, { "id": "task1678-7fb05b9358b24d1a81373b98e1789cc5", "input": "Problem: by the how much is two - fifth of 300 greater than 3 - fifths of 125 ?\nOptions: a. 15, b. 3, c. 5, d. 45, e. none of these", "output": [ "d" ] }, { "id": "task1678-38a6b4b34320496ab269f633075fb9b6", "input": "Problem: a collection of books went on sale, and 2 / 3 of them were sold for $ 3.50 each. if none of the 40 remaining books were sold, what was the total amount received for the books that were sold ?\nOptions: a. $ 180, b. $ 250, c. $ 260, d. $ 280, e. $ 300", "output": [ "d" ] }, { "id": "task1678-c62e6c1783f043c79295739166905306", "input": "Problem: excluding stoppages, the speed of a train is 60 kmph and including stoppages it is 40 kmph. of how many minutes does the train stop per hour ?\nOptions: a. 12, b. 14, c. 16, d. 18, e. 20", "output": [ "e" ] }, { "id": "task1678-fb62ce41256e41f380ed3d892d537c04", "input": "Problem: an error 10 % in excess is made while measuring the side of a square. now what is the percentage of error in the calculated area of the square ?\nOptions: a. 6.64 %, b. 16.64 %, c. 15.64 %, d. 21 %, e. 10.64 %", "output": [ "d" ] }, { "id": "task1678-7bec2dc0579a463bab7957d477c99920", "input": "Problem: the perimeter of a rhombus is 68 cm and one of its diagonals is 16 cm. find its area ?\nOptions: a. 290, b. 240, c. 2870, d. 289, e. 292", "output": [ "b" ] }, { "id": "task1678-d3a4f36ebc5549bcb90e9b30fe73a593", "input": "Problem: if b is the center of the circle in the figure above and the area of the shaded region is 16 π, what is the length of arc adc ?\nOptions: ['a. 4', 'b. 4 π', 'c. 16', 'd. 8 π', 'e. 16']", "output": [ "b" ] }, { "id": "task1678-17a03b3f6a2e4c0fa6c21497b6326c71", "input": "Problem: in my, xiang sold 15 used cars. for these 15 used cars the range of selling prices was 15000 and the lowest selling price was 4500. in june, xiang sold 10 cars. for these 10 cars the range of selling was 16000 and the lowest selling price was 5000. what was the range of selling prices for the 25 used car sold by xiang in may and june ?\nOptions: a. 15,600, b. 15,750, c. 16,820, d. 18,100, e. 19,200", "output": [ "c" ] }, { "id": "task1678-5e6a359aff4040e49c127b96eebcd5cd", "input": "Problem: if 2 a = 3 b and ab ≠ 0, what is the ratio of a / 3 to b / 2 ?\nOptions: a. 27 / 8, b. 8 / 27, c. 1, d. 9 / 4, e. 81 / 64", "output": [ "c" ] }, { "id": "task1678-c4fad129939048fbb4c324a9d2517130", "input": "Problem: each digit 1 through 5 is used exactly once to create a 5 - digit integer. if the 3 and the 4 can not be adjacent digits in the integer, how many 5 - digit integers are possible ?\nOptions: a. 48, b. 66, c. 72, d. 78, e. 90", "output": [ "c" ] }, { "id": "task1678-54d0e55d3ac04a4a87b48cd08631e875", "input": "Problem: in a 200 m race, a beats b by 20 m and c by 38 m. in a race of 600 m b will beat c by\nOptions: a. 20 m, b. 30 m, c. 25 m, d. 15 m, e. 60 m", "output": [ "e" ] }, { "id": "task1678-8bf050b6f49c4cd0b15b0c3ea1084767", "input": "Problem: in what time will a train 120 m long cross an electric pole, it its speed be 121 km / hr ?\nOptions: a. 2.5, b. 2.7, c. 2.9, d. 3.6, e. 2.1", "output": [ "d" ] }, { "id": "task1678-345f71dc8b8347ce89a169de102346a4", "input": "Problem: at a recent small town election for mayor a total of 963 votes were cast for the 4 candidates, the winner exceding his opponents by 53, 79 and 105 votes, respectively. how many votes were cast for each candidate ?\nOptions: a. 134, b. 178, c. 195, d. 166, e. 194", "output": [ "c" ] }, { "id": "task1678-18072ccea90b4fc8a2ee49c71c293365", "input": "Problem: a customer went to a shop and paid a total of $ 30, out of which 90 cents was for sales tax on taxable purchases. if the tax rate was 6 %, then what was the cost of the tax free items ?\nOptions: a. $ 12.70, b. $ 13.20, c. $ 14.10, d. $ 15.60, e. $ 16.80", "output": [ "c" ] }, { "id": "task1678-3b7379f8a17342948861ffac55fef25e", "input": "Problem: in a certain pond, 50 fish were caught, tagged, and returned to the pond. a few days later, 50 fish were caught again, of which 5 were found to have been tagged. if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond ?\nOptions: a. 400, b. 500, c. 1,250, d. 2,500, e. 10,000", "output": [ "b" ] }, { "id": "task1678-611ad6ca22ac4006ab6e05214969be18", "input": "Problem: tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. what is the probability taht the ticket drawn has a number which is a multiple of 3 or 5 ?\nOptions: a. 1 / 2, b. 2 / 5, c. 8 / 15, d. 9 / 20, e. none", "output": [ "d" ] }, { "id": "task1678-cdb694a290634cc2a8234792d9b0cac6", "input": "Problem: together, 15 type a machines and 7 type b machines can complete a certain job in 4 hours. together 8 type b machines and 15 type c machines can complete the same job in 11 hours. how many q hours would it take one type a machine, one type b machine, and one type c machine working together to complete the job ( assuming constant rates for each machine. ?\nOptions: a. 22 hours, b. 30 hours, c. 44 hours, d. 60 hours, e. it can not be determined from the information above.", "output": [ "c" ] }, { "id": "task1678-10ee0a9f0acf4387a33e5d64edc9ae66", "input": "Problem: rectangular floors x and y have equal area. if floor x is 10 feet by 18 feet and floor y is 9 feet wide, what is the length of floor y, in feet ?\nOptions: ['a. 13 1 / 2', 'b. 20', 'c. 18 3 / 4', 'd. 21', 'e. 24']", "output": [ "b" ] }, { "id": "task1678-ed9db4b460cf44e7a4f0794817b1818a", "input": "Problem: find the product of the localvalue and absolutevalue of 6 in 20618 ?\nOptions: a. 6300, b. 1100, c. 1200, d. 1300, e. 3600", "output": [ "e" ] }, { "id": "task1678-a10828ab3d934da0af21918edecc0afe", "input": "Problem: a distributor sells a product through an online store, which take a commission of 20 % of the price set by the distributor. the distributor obtains the product from a producer at the price of $ 18 per item. what is the price that the buyer observers online if the distributor wants to maintain a 20 % profit on the cost of the item ?\nOptions: a. $ 25, b. $ 26, c. $ 27, d. $ 28, e. $ 29", "output": [ "c" ] }, { "id": "task1678-9923f18ee87c4a47b71da700774ebfa8", "input": "Problem: the average weight of a, b and c is 45 kg. if the average weight of a and b be 40 kg and that of b and c be 47 kg, then the weight of b is :\nOptions: a. 39 kg, b. 32 kg, c. 33 kg, d. 34 kg, e. none of these", "output": [ "a" ] }, { "id": "task1678-10293d80833948899e5259ebfeaa8938", "input": "Problem: 6 women can do 75 units of work in 8 days by working 5 hrs / day. in how many days can 4 women do 30 units of work by working 8 hrs / day ?\nOptions: a. 3 days, b. 4 days, c. 5 days, d. 6 days, e. 7 days", "output": [ "a" ] }, { "id": "task1678-6a73c6adb91c4bca9d4b9b55ca99eaeb", "input": "Problem: the speed of a boat in still water is 20 km / hr and the rate of current is 5 km / hr. the distance travelled downstream in 18 minutes is :\nOptions: a. 9.5, b. 5.5, c. 7.5, d. 6.5, e. 5.1", "output": [ "c" ] }, { "id": "task1678-7599c866751046d88b4093990c04d789", "input": "Problem: michelle deposited a certain sum of money in a savings account on july 1 st, 2007. she earns an 14 % interest compounded semiannually. the sum of money in the account on december 31 st, 2009 is approximately what percent of the initial deposit ?\nOptions: a. 117 %, b. 120 %, c. 121 %, d. 138 %, e. 145 %", "output": [ "d" ] }, { "id": "task1678-ee73ae94d883444d9f3f124ea11db308", "input": "Problem: the average of the marks of 30 students in a class is 45. if the marks of each student are doubled, find the new average ?\nOptions: a. 85, b. 77, c. 33, d. 90, e. 75", "output": [ "d" ] }, { "id": "task1678-77ae4b03dd7642a8b8ba46f88288ea7d", "input": "Problem: mr. kramer, the losing candidate in a two - candidate election, received 942,568 votes, which was exactly 25 percent of all votes cast. approximately what percent of the remaining votes would he need to have received in order to have won at least 50 percent of all the votes cast ?\nOptions: a. 10 %, b. 12 %, c. 15 %, d. 17 %, e. 33 %", "output": [ "e" ] }, { "id": "task1678-5b870d2a3ab14a6c9dd6e00c3cec4ecb", "input": "Problem: a certain company expects quarterly earnings of $ 0.80 per share of stock, half of which will be distributed as dividends to shareholders while the rest will be used for research and development. if earnings are greater than expected, shareholders will receive an additional $ 0.04 per share for each additional $ 0.10 of per share earnings. if quarterly earnings are $ 1.10 per share, what will be the dividend paid to a person who owns 100 shares of the company ' s stock ?\nOptions: a. $ 92, b. $ 96, c. $ 52, d. $ 120, e. $ 240", "output": [ "c" ] }, { "id": "task1678-3a904df9f545421b85eaa4d0ea2cda2c", "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": "task1678-c570bdcf066d497892cced04cbb2456e", "input": "Problem: roy is now 6 years older than julia and half of that amount older than kelly. if in 4 years, roy will be twice as old as julia, then in 4 years what would be roy ’ s age multiplied by kelly ’ s age ?\nOptions: a. 72, b. 84, c. 90, d. 96, e. 108", "output": [ "e" ] }, { "id": "task1678-14419078110f40f8a512c87cb4c0fd5b", "input": "Problem: what is the least number of squares tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad\nOptions: a. 814, b. 256, c. 3258, d. 896, e. 745", "output": [ "a" ] }, { "id": "task1678-eae28cc8b4114d1ca12ea526033de8aa", "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": "task1678-f7b632b8c64d4929b24eb50a2581f9fc", "input": "Problem: a salesperson received a commission of 3 percent of the sale price for each of the first 100 machines that she sold and 4 percent of the sale price for each machine that she sold after the first 100. if the sale price of each machine was $ 10,000 and the salesperson received a $ 38,000 commission, how many machines did she sell ?\nOptions: a. 90, b. 103, c. 105, d. 115, e. 120", "output": [ "e" ] }, { "id": "task1678-fec9659334d343f3924f2f61aa8eed23", "input": "Problem: a certain city with a population of 192,000 is to be divided into 11 voting districts, and no district is to have a population that is more than 10 percent greater than the population of any other district what is the minimum possible population that the least populated district could have ?\nOptions: a. a. 10,700, b. b. 16,000, c. c. 10,900, d. d. 11,000, e. e. 11,100", "output": [ "b" ] }, { "id": "task1678-1d1a5c1db29b4709a7efb9475f7ba30f", "input": "Problem: the mean of 50 observations was 36. it was found later an observation 48 was wrongly taken as 23. the corrected new means is :\nOptions: a. 35.2, b. 36.1, c. 36.5, d. 39.1, e. none of these", "output": [ "c" ] }, { "id": "task1678-3480fe34e291471899073cd81f9ad4bf", "input": "Problem: there are 750 male and female participants in a meeting. half the female participants and one - quarterof the male participants are democrats. one - third of all the participants are democrats. how many of the democrats are female ?\nOptions: a. 75, b. 100, c. 125, d. 175, e. 225", "output": [ "c" ] }, { "id": "task1678-9a42713812774422bcc4fadfc67be256", "input": "Problem: in 2 triangle, the ratio of the areas is 4: 3 and that of their heights is 3: 4. find the ratio of their bases ?\nOptions: a. 10: 8, b. 11: 8, c. 16: 9, d. 17: 19, e. 17: 10", "output": [ "c" ] }, { "id": "task1678-ed7b875079b143bbb35687f006f14b48", "input": "Problem: in what ratio must water be mixed with milk to gain 16 2 / 3 % on selling the mixture at cost price ?\nOptions: a. 1: 9, b. 1: 1, c. 1: 2, d. 1: 6, e. 1: 5", "output": [ "d" ] }, { "id": "task1678-d5a1666831d64cc4912464133dc1d2d0", "input": "Problem: 9 friends decided to divide the hotel bill evenly. if the bill was $ 124.15 dollars, how much money did they pay if 1 cent is the smallest unit ?\nOptions: a. $ 124.11, b. $ 124.12, c. $ 124.13, d. $ 124.14, e. $ 124.15", "output": [ "a" ] }, { "id": "task1678-79c92c26d88d49d3a78095affacbbb3f", "input": "Problem: on sunday, bill ran 4 more miles than he ran on saturday. julia did not run on saturday, but she ran twice the number of miles on sunday that bill ran on sunday. if bill and julia ran a total of 36 miles on saturday and sunday, how many miles did bill run on sunday ?\nOptions: a. 5, b. 6, c. 7, d. 8, e. 10", "output": [ "e" ] }, { "id": "task1678-f6e5e7db6bf347ed887b5ceae2cf45eb", "input": "Problem: in a room with 8 people, 5 people have exactly 1 friend in the room and 4 people have exactly 2 friends in the room ( assuming that friendship is a mutual relationship, i. e. if jane is paul ' s friend, paul is jane ' s friend.. if two individuals are selected from the room at random, what is the probability that those two individuals are not friends ?\nOptions: a. 5 / 21, b. 3 / 7, c. 4 / 7, d. 5 / 7, e. 25 / 28", "output": [ "e" ] }, { "id": "task1678-aa6cc2fd157d42bba22e610cff576de2", "input": "Problem: the radius of a wheel is 22.4 cm. what is the distance covered by the wheel in making 2000 resolutions ?\nOptions: a. 1187 m, b. 1704 m, c. 2816 m, d. 2827 m, e. 2897 m", "output": [ "c" ] }, { "id": "task1678-cadb574ce48f4924a21ec7f0903add55", "input": "Problem: find the smallest number which should be multiplied with 560 to make it a perfect square.\nOptions: a. 60, b. 55, c. 45, d. 25, e. 35", "output": [ "e" ] }, { "id": "task1678-d46cbde92aec4e3cae1b33bf582ea487", "input": "Problem: earl can stuff advertising circulars into envelopes at the rate of 36 envelopes per minutes and ellen requires a minutes and half to stuff the same number of envelops. working together, how long will it take earl and ellen to stuff 300 envelopes\nOptions: a. 6 minutes, b. 5 minutes, c. 7 minutes, d. 3 minutes, e. 4 minutes", "output": [ "b" ] }, { "id": "task1678-f4fee8af61b04b8f9afc1025eeeca9a4", "input": "Problem: the sum of first 45 natural numbers is ?\nOptions: a. 1030, b. 1034, c. 1035, d. 1037, e. 1040", "output": [ "c" ] }, { "id": "task1678-21d266da8ec942e28794a73fbdb94df2", "input": "Problem: vehicle x is 22 miles ahead of vehicle y, which is traveling the same direction along the same route as vehicle x. if vehicle x is traveling at an average speed of 36 miles per hour and vehicle y is traveling at an average speed of 45 miles per hour, how long will it take vehicle y to overtake and drive 23 miles ahead of vehicle x ?\nOptions: a. 5 hours, b. 7 hours 20 minutes, c. 4 hours, d. 3 hours 45 minutes, e. 2 hours 30 minutes", "output": [ "a" ] }, { "id": "task1678-9668859bce144d47bcafac87d92bddca", "input": "Problem: in the storage room of a certain bakery, the ratio of sugar to flour is 5 to 5, and the ratio of flour to baking soda is 10 to 1. if there were 60 more pounds of baking soda in the room, the ratio of flour to baking soda would be 8 to 1. how many pounds of sugar are stored in the room ?\nOptions: a. 600, b. 1200, c. 1500, d. 1600, e. 2400", "output": [ "e" ] }, { "id": "task1678-000c4b613bc94cb9ba995af82ae81b49", "input": "Problem: the average weight of 8 person ' s increases by 3 kg when a new person comes in place of one of them weighing 70 kg. what might be the weight of the new person ?\nOptions: a. 94 kg, b. 85 kg, c. 90 kg, d. 100 kg, e. 110 kg", "output": [ "a" ] }, { "id": "task1678-8572ecfa67ff493e8e89594bea37ad0c", "input": "Problem: a worker is paid a regular rate of rs. 10 for completing a survey. the worker completes 50 surveys per week. for any survey involving the use of her cellphone, she is paid at a rate of that is 30 % higher than her regular rate. if she completed 35 surveys involving the use of her cellphone, how much did she get that week ?\nOptions: a. 605, b. 505, c. 105, d. 100, e. 200", "output": [ "a" ] }, { "id": "task1678-b734af51b0fc43799e97add68321c4af", "input": "Problem: the dimensions of a room are 25 feet * 15 feet * 12 feet. what is the cost of white washing the four walls of the room at rs. 10 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each ?\nOptions: a. s. 9060, b. s. 4520, c. s. 4527, d. s. 4530, e. s. 4521", "output": [ "a" ] }, { "id": "task1678-42299351fe5f44cb9f7a15c789905ba5", "input": "Problem: a take twice as much time as b or thrice as much time to finish a piece of work. working together, they can finish the work in 7 days. b can do the work alone in ?\nOptions: a. 19, b. 12, c. 11, d. 42, e. 114", "output": [ "d" ] }, { "id": "task1678-56a3ff7691ad4d8ba1bd55749d6f43aa", "input": "Problem: right triangle abc is to be drawn in the xy - plane so that the right angle is at a and ab is parallel to the y - axis. if the x - and y - coordinates of a, b, and c are to be integers that are consistent with the inequalities - 3 ≤ x ≤ 2 and 4 ≤ y ≤ 9, then how many different triangles can be drawn that will meet these conditions ?\nOptions: a. 54, b. 432, c. 2,160, d. 2,916, e. 148,824", "output": [ "b" ] }, { "id": "task1678-1a10cda6c22a480cbc8f6a36955815ba", "input": "Problem: the ratio between the length and the breadth of a rectangular park is 3: 2. if a man cycling along the boundary of the park at the speed of 12 km / hr completes one round in 7 minutes, then the area of the park ( in sq. m ) is\nOptions: a. 153200, b. 153400, c. 153600, d. 154000, e. 117600", "output": [ "e" ] }, { "id": "task1678-6b83984ef0a14c73a7ef8a6f9523a28a", "input": "Problem: a man can swim in still water at 4.5 km / h, but takes twice as long to swim upstream than downstream. the speed of the stream is ?\nOptions: a. 1.0, b. 1.9, c. 1.6, d. 1.5, e. 1.1", "output": [ "d" ] }, { "id": "task1678-4115fa63a9c940b187378931b34aade2", "input": "Problem: 0.99998 + 0.11112 = ?\nOptions: a. 1, b. 1.0001, c. 1.0021, d. 1.1111, e. 1.111", "output": [ "d" ] }, { "id": "task1678-7bd517b76f67418885696d21ca82d52c", "input": "Problem: there are 2 red chips and 3 blue ones. when arranged in a row, they form a certain color pattern, for example rbrrb. how many color patterns ?\nOptions: a. a. 10, b. b. 12, c. c. 24, d. d. 60, e. e. 100", "output": [ "e" ] }, { "id": "task1678-e620172819154df2a8ae669bc26c2764", "input": "Problem: in a race of 1000 m, a can beat by 100 m, in a race of 800 m, b can beat c by 100 m. by how many meters will a beat c in a race of 700 m ?\nOptions: a. 148.75 m, b. 127.5 m., c. 122.2 m, d. 222.9 m, e. 12289 m", "output": [ "a" ] }, { "id": "task1678-fc532d77029843868467ba477551568b", "input": "Problem: ifaequals the sum of the even integers from 2 to 120, inclusive, andbequals the sum of the odd integers from 1 to 119, inclusive, what is the value of a - b ?\nOptions: a. 60, b. 10, c. 19, d. 20, e. 21", "output": [ "a" ] }, { "id": "task1678-dc2495f102bb4746b9e1d37350f2100b", "input": "Problem: the cost of registration at a professional association meeting was $ 50 per person; a lunch for registrants only was available for an additional $ 22 per person. if the number of registrants who paid for lunch was 10 more than the number who did not, and if receipts for registration and lunch totaled $ 61720, how many people paid just for registration at the meeting ?\nOptions: a. 700, b. 800, c. 1,300, d. 500, e. 1,800", "output": [ "d" ] }, { "id": "task1678-9a15ebd2e4b949bdb1bf42e9106b7ec4", "input": "Problem: at what price must an article costing rs. 47.50 be marked in order that after deducting 7 % from the list price. it may be sold at a profit of 25 % on the cost price ?\nOptions: a. 63.84, b. 62.6, c. 62.1, d. 62.7, e. 62.2", "output": [ "a" ] }, { "id": "task1678-ee6828b29f1942ef804fdfc5fc333b38", "input": "Problem: in may mrs lee ' s earnings were 50 percent of the lee family ' s total income. in june mrs lee earned 20 percent more than in may. if the rest of the family ' s income was the same both months, then, in june, mrs lee ' s earnings were approximately what percent of the lee family ' s total income ?\nOptions: a. 55, b. 56, c. 34, d. 78, e. 23", "output": [ "a" ] }, { "id": "task1678-e094c19ce74940958a13f73b66df4610", "input": "Problem: what is 30 % of 80 ?\nOptions: a. 24, b. 66, c. 367, d. 28, e. 267", "output": [ "a" ] }, { "id": "task1678-a635e404bdbb44b1868b640a667f9122", "input": "Problem: a particular library has 75 books in a special collection, all of which were in the library at the beginning of the month. these book are occasionally loaned out through an inter - library program. if, by the end of the month, 80 percent of books that were loaned out are returned and there are 69 books in the special collection at that time, how many books of the special collection were loaned out during that month ?\nOptions: a. 20, b. 30, c. 35, d. 40, e. 55", "output": [ "b" ] }, { "id": "task1678-56d2942c2ebd4093a822171773aad4b8", "input": "Problem: if an object travels 300 feet in 6 seconds, what is the object ' s approximate speed in miles per hour ? ( note: 1 mile = 5280 feet )\nOptions: a. 30, b. 31, c. 32, d. 33, e. 34", "output": [ "e" ] }, { "id": "task1678-1a73659f232947e884da7b615f1f5801", "input": "Problem: there are 9 baskets numbered from 1 to 9 and filled with apples. 10 children are asked to pick apples one by one from each basket such that the number of apples picked by each child from each basket is equal to the number marked on the basket. if there were 1000 apples in total and the baskets were filled in such a way that none of the basket became empty in the process, how many apples were left in the end ?\nOptions: a. 440, b. 550, c. 660, d. 770, e. 880", "output": [ "b" ] }, { "id": "task1678-391dc090ce864e01bd19f37974edd765", "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": "task1678-6c59826c000a492f8cbe72258973ec0a", "input": "Problem: in a fuel station the service costs $ 2.10 per vehicle and every liter of fuel costs $ 0.60. assuming that you fill up 3 mini - vans and 2 trucks, what will be the total cost, if a mini - van ' s tank is 65 liters and a truck ' s tank is 120 % bigger and they are all empty ?\nOptions: a. $ 287.50, b. $ 290.40, c. $ 293.30, d. $ 296.20, e. $ 299.10", "output": [ "e" ] }, { "id": "task1678-8f74d1de575e4704b1817f3888ea7d55", "input": "Problem: what is the ratio of 3 / 7 to the product 3 * ( 7 / 3 ) ?\nOptions: a. 3: 7, b. 1: 3, c. 3: 21, d. 1: 7, e. 3: 49", "output": [ "e" ] }, { "id": "task1678-4269f4d06f9b4ae3b49edb0990549ec0", "input": "Problem: ( 212 + 222 + 232 +... + 302 ) = ?\nOptions: a. 385, b. 2485, c. 2570, d. 3255, e. none", "output": [ "c" ] }, { "id": "task1678-ea87f65a75f1400ca5122a8e308684a8", "input": "Problem: a train of length 250 m crosses a bridge of length 150 m in 20 seconds. what is the speed of train ?\nOptions: a. 33, b. 27, c. 25, d. 22, e. 72", "output": [ "e" ] }, { "id": "task1678-f5d3826c6b314626ae8dc95a0f005b62", "input": "Problem: half a number plus 7 is 17. what is the number ?\nOptions: a. 8, b. 9, c. 10, d. 11, e. 20", "output": [ "e" ] }, { "id": "task1678-ebf44eed7c2040b2a40317847c05a3fb", "input": "Problem: how much interest will $ 8,000 earn in 9 months at an annual rate of 6 % ?\nOptions: a. $ 250, b. $ 350, c. $ 360, d. $ 550, e. $ 650", "output": [ "c" ] }, { "id": "task1678-55aeb012ddfc43f2a016f631abc00b70", "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": "task1678-e0b1091c91a145618b2e7285d2918785", "input": "Problem: bert and rebecca were looking at the price of a condominium. the price of the condominium was 50 % more than bert had in savings, and separately, the same price was also 25 % more than rebecca had in savings. what is the ratio of what bert has in savings to what rebecca has in savings.\nOptions: a. 1: 6, b. 1: 3, c. 1: 2, d. 3: 4, e. 5: 6", "output": [ "e" ] }, { "id": "task1678-a4d19a186e874972af38d447fcc0b119", "input": "Problem: a shopkeeper sells 500 metres of cloth for rs. 18000 at a loss of rs. 5 per metre. find his cost price for one metre of cloth ?\nOptions: a. 12, b. 27, c. 29, d. 50, e. 41", "output": [ "e" ] }, { "id": "task1678-fe3aebb461d944e3ac6f98308210120b", "input": "Problem: the difference of two numbers is 1565. on dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. what is the smaller number ?\nOptions: a. a. 270, b. b. 280, c. c. 290, d. d. 300, e. e. 310", "output": [ "e" ] }, { "id": "task1678-af42f9e5c6744e8dbda27ed5390078a0", "input": "Problem: how many even number in the range between 15 to 100 inclusive are not divisible by 3\nOptions: a. 29, b. 30, c. 31, d. 33, e. 46", "output": [ "a" ] }, { "id": "task1678-27119224ca1d47389a4c2873bce78aa8", "input": "Problem: the area of a circular field is 17.56 hectares. find the cost of fencing it at the rate of rs. 7 per metre approximately\nOptions: a. 4457, b. 10400, c. 4235, d. 4547, e. 4675", "output": [ "b" ] }, { "id": "task1678-96a60dad7a0c47579d6045c0a98207fe", "input": "Problem: a confectioner decides to sell all of his pastry due to the coming holiday. his pastry goods are equally divided among a group of 50 regular customers. if only 49 customers come to the bakery, each one will receive 6 less pastry goods. how much pastry does the confectioner needs to sell ?\nOptions: a. 500., b. 412., c. 432., d. 502., e. 522.", "output": [ "a" ] }, { "id": "task1678-7d0f08a900f141e1a84bd421c837ae6e", "input": "Problem: if 5400 mn = k ^ 4, where m, n, and k are positive integers, what is the least possible value of 2 m + n ?\nOptions: a. 11, b. 18, c. 20, d. 25, e. 35", "output": [ "e" ] }, { "id": "task1678-dbe1aea4b7c146699bb2c1c9aa960c80", "input": "Problem: tabby is training for a triathlon. she swims at a speed of 1 mile per hour. she runs at a speed of 7 miles per hour. she wants to figure out her average speed for these two events. what is the correct answer for her ?\nOptions: a. 8 mph, b. 5.25 mph, c. 3.5 mph, d. 4 mph, e. 0.5 mph", "output": [ "d" ] }, { "id": "task1678-024afa3b6f1c4b3db69ff7b347f0ec80", "input": "Problem: a train of 25 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. in what time will the train cross a bridge 1.0 km long ?\nOptions: a. 2.5, b. 3, c. 5, d. 7, e. 9", "output": [ "a" ] }, { "id": "task1678-fd8c14fe11324c26a2a537d7150225d3", "input": "Problem: jerome anticipated that the webweb. com stock price would fall and sold all his webweb. com stocks for $ 5 per stock. he paid $ 10,000 tax on the revenue. a week later, jerome became convinced that the webweb. com stock price would rise, and he used the money that he had gotten from selling the webweb. com stocks to purchase them again, this time at $ 6 per stock. if jerome ended up having 7000 webweb. com stocks fewer than the number he had before selling them, how many webweb. com stocks did he have originally ?\nOptions: a. 10,000, b. 11,600, c. 17,000, d. 14,000, e. 16,400", "output": [ "c" ] }, { "id": "task1678-ab475eb356e64d6194992f7b12b2bfa5", "input": "Problem: find the principle on a certain sum of money at 9 % per annum for 2 2 / 5 years if the amount being rs. 1120 ?\nOptions: a. 1000, b. 912.88, c. 927.78, d. 926.82, e. 921.05", "output": [ "e" ] }, { "id": "task1678-9affdb5cbde84796a4424775063f6b5b", "input": "Problem: if 40 % of a number is equal to two - third of another number, what is the ratio of first number to the second number.\nOptions: a. 5: 3, b. 2: 5, c. 4: 7, d. 5: 2, e. none of these", "output": [ "a" ] }, { "id": "task1678-7d39c793277f4c8d94289a6388fb1da5", "input": "Problem: vijay lent out an amount rs. 10000 into two parts, one at 8 % p. a. and the remaining at 10 % p. a. both on simple interest. at the end of the year he received rs. 890 as total interest. what was the amount he lent out at 8 % pa. a ?\nOptions: a. 5529, b. 5500, c. 5520, d. 5521, e. 5192", "output": [ "b" ] }, { "id": "task1678-1265521054c341df9c83a4e37f910d26", "input": "Problem: a man whose bowling average is 12.4, takes 5 wickets for 26 runs and there by decreases his average by 0.4. the number of wickets taken by him before his last match is ?\nOptions: a. 82, b. 83, c. 84, d. 85, e. 86", "output": [ "d" ] }, { "id": "task1678-d3f0158c1b40451cbfa61fc37b1c0917", "input": "Problem: anand finishes a work in 7 days, bittu finishes the same job in 8 days and chandu in 6 days. they take turns to finish the work. anand on the first day, bittu on the second and chandu on the third day and then anand again and so on. on which day will the work get over ?\nOptions: a. 3 rd, b. 6 th, c. 9 th, d. 7 th, e. 8 th", "output": [ "d" ] }, { "id": "task1678-468644c8d18d40c598410b4d149cac81", "input": "Problem: if the product of two numbers is 45276 and their h. c. f. is 22, find their l. c. m.\nOptions: a. 2574, b. 2500, c. 2100, d. 2058, e. none of these", "output": [ "d" ] }, { "id": "task1678-126e7e14e2ff4fbb98187ad49e34dae3", "input": "Problem: a person saved $ 10 in buying an item on sale. if he spent $ 500 for the item, approximately how much percent he saved in the transaction ?\nOptions: a. 8 %, b. 10 %, c. 2 %, d. 5 %, e. 6 %", "output": [ "c" ] }, { "id": "task1678-2da14aa1839f4e1cac60971b433db042", "input": "Problem: okeydokey paid 5 apples at the apple investment booth for an unopened box of earthworms. artichokey paid 7 apples towards the same lot. the booth pays off earthworms proportional to the apples invested. the box turned out to contain 60 earthworms. how many of them should okeydokey receive ?\nOptions: a. 25, b. 27, c. 28, d. 29, e. 30", "output": [ "a" ] }, { "id": "task1678-eaec89e5924744c390683a7285ff75d4", "input": "Problem: a glass was filled with 10 ounces of water, and 0.01 ounce of the water evaporated each day during a 20 - day period. what percent of the original amount of water evaporated during this period ?\nOptions: a. 0.002 %, b. 0.02 %, c. 0.2 %, d. 2 %, e. 20 %", "output": [ "d" ] }, { "id": "task1678-d35d51e1e39a4044bcbe2c6d045983d1", "input": "Problem: a certain store sells all maps at one price and all books at another price. on monday the store sold 10 maps and 8 books for a total of $ 22.00, and on tuesday the store sold 20 maps and 15 books for a total of $ 60.00. at this store, how much less does a map sell for than a book ?\nOptions: a. $ - 5.4, b. $ 0.50, c. $ 0.75, d. $ 1.00, e. $ l. 25", "output": [ "a" ] }, { "id": "task1678-39f2f0cd10af465d8904b21b797ac672", "input": "Problem: a 64 gallon solution of salt and water is 10 % salt. how many gallons of water must be added to the solution in order to decrease the salt to 8 % of the volume ?\nOptions: a. 8, b. 12, c. 13, d. 14, e. 16", "output": [ "e" ] }, { "id": "task1678-d068d872123a41988b6dec42da0004ba", "input": "Problem: a gambler bought $ 5,000 worth of chips at a casino in denominations of $ 20 and $ 100. that evening, the gambler lost 16 chips, and then cashed in the remainder. if the number of $ 20 chips lost was 2 more or 2 less than the number of $ 100 chips lost, what is the largest amount of money that the gambler could have received back ?\nOptions: a. $ 4,040, b. $ 4,120, c. $ 1,960, d. $ 4,920, e. $ 1,400", "output": [ "b" ] }, { "id": "task1678-e788e54abfe84be0949a5ca269641ec5", "input": "Problem: in the coordinate plane, line a has a slope of - 2 and an x - intercept of 2. line b has a slope of 5 and a y - intercept of - 10. if the two lines intersect at the point ( a, b., what is the sum a + b ?\nOptions: a. 0, b. 1, c. 2, d. 3, e. 4", "output": [ "c" ] }, { "id": "task1678-4ce3d79162b841e6b39eb81009f57eaf", "input": "Problem: for any positive integer n, the sum of the first n positive integers equals n ( n + 1 ) / 2. what is the sum of all the integers between 100 and 200 ?\nOptions: a. 4545, b. 5050, c. 6525, d. 4352, e. 4652", "output": [ "b" ] }, { "id": "task1678-1453b41cb4a0406c85bd5f8627e057b1", "input": "Problem: a library has an average of 510 visitors on sundays and 240 on other day. the average number of visitors in a month of 50 days starting with sunday is\nOptions: a. 280, b. 285, c. 171, d. 295, e. 275", "output": [ "c" ] }, { "id": "task1678-3dff824ef80a492bb72d53b2927b4b80", "input": "Problem: there are 200 employees in a room. 99 % are managers. how many managers must leave the room to bring down the percentage of managers to 98 % ?\nOptions: a. 150, b. 100, c. 99, d. 50, e. 25", "output": [ "b" ] }, { "id": "task1678-4ee9513aaeb04d3887062a81dd4b3068", "input": "Problem: 387 x 387 + 114 x 114 + 2 x 387 x 114 = ?\nOptions: a. 250001, b. 251001, c. 260101, d. 261001, e. none of these", "output": [ "b" ] }, { "id": "task1678-ca9b642c7f754399863e7c066d2c1ec7", "input": "Problem: if a and b are the roots of the equation x 2 - 9 x + 9 = 0, then the value of a 2 + b 2 is :\nOptions: a. 63, b. 24, c. 17, d. 6, e. 5", "output": [ "a" ] }, { "id": "task1678-7f41064050c448aeb3632c9897a10cc9", "input": "Problem: a light has a rating of 80 watts, it is replaced with a new light that has 25 % higher wattage. how many watts does the new light have ?\nOptions: a. 105, b. 95, c. 80, d. 60, e. 100", "output": [ "e" ] }, { "id": "task1678-a07e7284dc1b415baa3c43e26a39b7af", "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": "task1678-f5de185591704d2d8300af733dc3e64f", "input": "Problem: two kinds of vodka are mixed in the ratio 1: 2 and 2: 1 and they are sold fetching the profit 10 % and 30 % respectively. if the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4 / 3 and 5 / 3 times respectively, then the mixture will fetch the profit of\nOptions: a. 18 %, b. 20 %, c. 30 %, d. 23 %, e. can not be determined", "output": [ "c" ] }, { "id": "task1678-41caee4b701840edbe7b7c50b787df4a", "input": "Problem: if k is an integer and 0.00010101 x 10 ^ k is greater than 100, what is the least possible value of k ?\nOptions: a. 3, b. 4, c. 5, d. 6, e. 7", "output": [ "d" ] }, { "id": "task1678-389b59f3fb5549539884c154248fc40e", "input": "Problem: how many numbers from 10 to 50 are exactly divisible by 3.\nOptions: a. 13, b. 14, c. 16, d. 17, e. 19", "output": [ "a" ] }, { "id": "task1678-b2bf71d7e8b7433f9dc88d2db70babbd", "input": "Problem: the ratio of laxmi ' s age to the age of her mother is 3: 11. the difference of their ages is 24 years. the ratio of their ages after 3 years will be ?\nOptions: a. 1: 9, b. 1: 3, c. 1: 2, d. 1: 1, e. 3: 3", "output": [ "b" ] }, { "id": "task1678-0c74f82412c1471099ab383109b6a900", "input": "Problem: what is the total number of integers between 10 and 50 that are divisible by 2 ?\nOptions: a. 18, b. 19, c. 22, d. 25, e. 10", "output": [ "b" ] }, { "id": "task1678-547dc9761bf047698688d10aee255516", "input": "Problem: company x provides bottled water to its employees in 10 liter bottles, $ 2 each. at least how many 10 l bottles must company x buy monthly, so that new contract with $ 50 fixed monthly rate and $ 1 for 50 l bottle each paid off ? ( assume that no other costs apply )\nOptions: a. 28, b. 29, c. 30, d. 31, e. 32", "output": [ "a" ] }, { "id": "task1678-9ac7b7aac693445abe34b4e9d18d2cae", "input": "Problem: solution y is 30 percent liquid x and 70 percent water. if 2 kilograms of water evaporate from 6 kilograms of solution y and 2 kilograms of solution y are added to the remaining 4 kilograms of liquid, what percent of this new solution is liquid x ?\nOptions: a. 33 %, b. 35 1 / 2 %, c. 37 %, d. 40 %, e. 42 %", "output": [ "d" ] }, { "id": "task1678-00fc5563365f420cb6d01e027bfb88a4", "input": "Problem: 10 % people of a village in sri lanka died by bombardment, 20 % of the remainder left the village on account of fear. if now the population is reduced to 3312, how much was it in the beginning ?\nOptions: a. a. 3800, b. b. 4200, c. c. 4400, d. d. 4500, e. e. 4600", "output": [ "e" ] }, { "id": "task1678-a62406ec75ae440c962f0a77aa20e2fe", "input": "Problem: a is twice as good a workman as b and they took 11 days together to do the work b alone can do it in.\nOptions: a. 17 days, b. 12 days, c. 29 days, d. 25 days, e. 33 days", "output": [ "e" ] }, { "id": "task1678-0919729a237b4033a622d4a7d68ad730", "input": "Problem: 160 % of 5 / 8 =\nOptions: a. 0.2, b. 0.5, c. 0.6, d. 0.75, e. 1.0", "output": [ "e" ] }, { "id": "task1678-0489de41c7e54a419d76dd761e08e97c", "input": "Problem: what is the sum of all the multiples of 9 between 0 and 99 ?\nOptions: a. 500, b. 594, c. 450, d. 340, e. 440", "output": [ "b" ] }, { "id": "task1678-a6b05d0cc04f489689c07c192becbea0", "input": "Problem: if the price of 357 apples is rs. 1517.25, what will be the approximate price of 49 dozens of such apples ?\nOptions: a. rs. 2500, b. rs. 2300, c. rs. 2200, d. rs. 1400, e. rs. 1600", "output": [ "a" ] }, { "id": "task1678-56215d0bb014442e9673a8b59df29367", "input": "Problem: in the first 10 overs of a cricket game, the run rate was only 3.8. what should be the run rate in the remaining 40 overs to reach the target of 282 runs ?\nOptions: a. 6.25, b. 6.5, c. 6.75, d. 6.1, e. 8", "output": [ "d" ] }, { "id": "task1678-06a76286f2ee483d96e34162b822c93c", "input": "Problem: a person buys an article at rs. 480. at what price should he sell the article so as to make a profit of 24 % ?\nOptions: a. 595, b. 882, c. 772, d. 662, e. 521", "output": [ "a" ] }, { "id": "task1678-8a6a7db59715433b9895d43291f83179", "input": "Problem: what is the median of a set of consecutive integers if the sum of nth number from the beginning and nth number from the end is 110 ?\nOptions: a. 10, b. 25, c. 55, d. 75, e. 100", "output": [ "c" ] }, { "id": "task1678-6f0348d6d2ee42a7a04256e167f81599", "input": "Problem: roses can be purchased individually for $ 6.30, one dozen for $ 36, or two dozen for $ 50. what is the greatest number of roses that can be purchased for $ 680 ?\nOptions: a. 156, b. 162, c. 316, d. 324, e. 325", "output": [ "c" ] }, { "id": "task1678-e5dfc2accaac4044a36f7eaa7edbf553", "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": "task1678-9ebf3a8ae0414609bdec42cb35cf140b", "input": "Problem: a man walking at a rate of 10 km / hr crosses a bridge in 24 minutes. the length of the bridge is ?\nOptions: a. 1521, b. 1492, c. 1667, d. 4000, e. 1112", "output": [ "d" ] }, { "id": "task1678-5ffb975e142143dd8b98ed3dce9c5385", "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": "task1678-3baa2fd454054980b11aa4bf8500ad32", "input": "Problem: 11: 35: : 17: ?\nOptions: a. 3, b. 22, c. 58, d. 10, e. 54", "output": [ "d" ] }, { "id": "task1678-1a411f3353024638a07105cda01352a7", "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": "task1678-8bf2abfd32d6428e8206971d24d731ea", "input": "Problem: an aeroplane covers a certain distance of 420 kmph in 6 hours. to cover the same distance in 4 2 / 3 hours, it must travel at a speed of\nOptions: a. 440, b. 540, c. 640, d. 740, e. 250", "output": [ "b" ] }, { "id": "task1678-6e25f412a5134580ae8d3e22a26fcfe6", "input": "Problem: jane and thomas are among the 8 people from which a committee of 4 people is to be selected. how many different possible committees of 4 people can be selected from these 8 people if at least one of either jane or thomas is to be selected ?\nOptions: a. 28, b. 46, c. 55, d. 63, e. 70", "output": [ "c" ] }, { "id": "task1678-9f2936719e9d44f295914800439b27b4", "input": "Problem: the average mark of the students of a class in a particular exam is 80. if 8 students whose average mark in that exam is 20 are excluded, the average mark of the remaining will be 90. find the number of students who wrote the exam.\nOptions: a. 15, b. 25, c. 35, d. 45, e. 56", "output": [ "e" ] }, { "id": "task1678-2b67a946f65a422ea9789cbc113ef7c7", "input": "Problem: what is the smallest integer k for which 64 ^ k > 4 ^ 17 ?\nOptions: a. 4, b. 5, c. 6, d. 7, e. 8", "output": [ "c" ] }, { "id": "task1678-064700f029454447881a3461dfe1ef92", "input": "Problem: a rectangular swimming pool is 20 feet by 18 feet. a deck that has uniform width surrounds the pool. the total area of the pool and deck is 624 square feet. what is the width of the deck ?\nOptions: a. 2, b. 3, c. 4, d. 5, e. 6", "output": [ "b" ] }, { "id": "task1678-574531aee2814235ad449196499cdb3a", "input": "Problem: what is the least integer greater than 0 + 0.5 ?\nOptions: a. – 2, b. – 1, c. 0, d. 1, e. 2", "output": [ "d" ] }, { "id": "task1678-42b0b3641271416ca34cc0fb5d65c63b", "input": "Problem: two diagonals of a rhombus are 72 cm and 30 cm respectively. what is its perimeter ?\nOptions: ['a. 136 cm', 'b. 156 cm', 'c. 144 cm', 'd. 121 cm', 'e. 126 cm']", "output": [ "b" ] }, { "id": "task1678-595355209d964ce39cbce68d9f80643c", "input": "Problem: to fill a tank, 25 buckets of water is required. how many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to 3 / 10 of its present ?\nOptions: a. 61.5, b. 60.5, c. 63.5, d. 83.333, e. 64.5", "output": [ "d" ] }, { "id": "task1678-07e18af865ad4259af08f2982dc7b9b8", "input": "Problem: one side of a rectangular field is 14 m and one of its diagonal is 17 m. find the area of the field.\nOptions: a. 134.4, b. 120, c. 150, d. 180, e. none", "output": [ "a" ] }, { "id": "task1678-04dc54e2cf7740fd9df94dd2a9bd5a3c", "input": "Problem: a hiker walking at a constant rate of 4 kilometers per hour is passed by a cyclist travelling in the same direction along the same path at a constant rate of 24 kilometers per hour. the cyclist stops and waits for the hiker 5 minutes after passing her while the hiker continues to walk at her constant rate. how many minutes must the cyclist wait until the hiker catches up ?\nOptions: a. 10, b. 15, c. 20, d. 25, e. 30", "output": [ "d" ] }, { "id": "task1678-620422ae7eda477c902337d8fe7ae8f6", "input": "Problem: the average weight of 29 students is 28 kg. by the admission of a new student, the average weight is reduced to 27.1 kg. the weight of the new student is\nOptions: a. 22 kg, b. 1 kg, c. 22.4 kg, d. 21 kg, e. none of these", "output": [ "b" ] }, { "id": "task1678-dca0ff476d474743a732da8c68ce260e", "input": "Problem: what will be in unit ' s place digit of 3 to the power 34.\nOptions: a. 1, b. 6, c. 3, d. 0, e. 9", "output": [ "e" ] }, { "id": "task1678-25f41b1b33e14c1a87ae42c6e3e2d179", "input": "Problem: a group of 8 friends want to play doubles tennis. how many different ways can the group be divided into 4 teams of 2 people ?\nOptions: a. 420, b. 2520, c. 168, d. 90, e. 105", "output": [ "e" ] }, { "id": "task1678-0f48ff178e0144e3bfbb78eff323e44a", "input": "Problem: a retail appliance store priced a video recorder at 20 percent above the wholesale cost of $ 200. if a store employee applied the 10 percent employee discount to the retail price to buy the recorder, how much did the employee pay for the recorder ?\nOptions: a. $ 198, b. $ 216, c. $ 220, d. $ 230, e. $ 240", "output": [ "b" ] }, { "id": "task1678-adaf41e52e834a0da7ff81e22ccf2dfd", "input": "Problem: an optometrist charges $ 150 per pair for soft contact lenses and $ 85 per pair for hard contact lenses. last week she sold 5 more pairs of soft lenses than hard lenses. if her total sales for pairs of contact lenses last week were $ 1,455, what was the total number of pairs of contact lenses that she sold ?\nOptions: a. 11, b. 13, c. 15, d. 17, e. 19", "output": [ "a" ] }, { "id": "task1678-9aa33964a422413c9cba96e8fe0bb3b0", "input": "Problem: it costs $ 5 for the first 1 / 3 hour to use the laundry machine at the laundromat. after the first ¼ hour it costs $ 12 per hour. if a certain customer uses the laundry machine for 2 hours and 30 minutes, how much will it cost him ?\nOptions: a. $ 27., b. $ 29., c. $ 31., d. $ 33., e. $ 35.", "output": [ "c" ] }, { "id": "task1678-4d070fcf249849fcbbd6783c268cf9fd", "input": "Problem: a computer is programmed to multiply consecutive even integers 2 * 4 * 6 * 8 * … * n until the product is divisible by 1881, what is the value of n ?\nOptions: a. 22, b. 38, c. 114, d. 122, e. 672", "output": [ "c" ] }, { "id": "task1678-4d7c0e2a2e26427cbfa842931ffb664b", "input": "Problem: 2,7, 17,3, 11,19, 5,13, __\nOptions: a. 20, b. 21, c. 22, d. 23, e. 24", "output": [ "d" ] }, { "id": "task1678-a868c6fa18a44df0994b747088a8d291", "input": "Problem: if 8 workers can build 8 cars in 8 days, then how many days would it take 4 workers to build 4 cars ?\nOptions: a. 2, b. 4, c. 8, d. 12, e. 16", "output": [ "c" ] }, { "id": "task1678-3a2ebdf97f514b449c2711e10b448cc8", "input": "Problem: in 10 years, a will be twice as old as b was 10 years ago. if a is now 9 years older than b, the present age of b is\nOptions: a. 9 years, b. 19 years, c. 29 years, d. 39 years, e. none", "output": [ "d" ] }, { "id": "task1678-ed9e8527b7d341289c2b35f3afdbf8d8", "input": "Problem: if 50 apprentices can finish a job in 4 hours, and 30 journeymen can finish the same job in 8 hours, how much of the job should be completed by 10 apprentices and 15 journeymen in one hour ?\nOptions: a. 1 / 9, b. 29 / 180, c. 9 / 80, d. 1 / 5, e. 39 / 121", "output": [ "c" ] }, { "id": "task1678-3999ac5348784b78ab7f91f7d637dcdc", "input": "Problem: two ships are sailing in the sea on the two sides of a lighthouse. the angle of elevation of the top of the lighthouse is observed from the ships are 30 º and 45 º respectively. if the lighthouse is 100 m high, the distance between the two ships is :\nOptions: a. 173 m, b. 200 m, c. 273 m, d. 300 m, e. none of these", "output": [ "c" ] }, { "id": "task1678-e25282556c2a4b629cdba34c0ced19b5", "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": "task1678-63a331cf19ce4781b452c7f0468e077a", "input": "Problem: how many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8.5 m x 6 m x 22.5 cm ?\nOptions: a. 6400, b. 6410, c. 6440, d. 6500, e. 6800", "output": [ "e" ] }, { "id": "task1678-8a7a5379235b401f8380222e1c89aabc", "input": "Problem: given that p is a positive even integer with a positive units digit, if the units digit of p ^ 3 minus the units digit of p ^ 2 is equal to 0, what is the units digit of p + 4 ?\nOptions: a. 7, b. 8, c. 10, d. 11, e. 12", "output": [ "c" ] }, { "id": "task1678-3621e2d6e4a24cd8acfa35d7239e8543", "input": "Problem: a palindrome is a number that reads the same forward and backward, such as 196. how many odd, 4 - digit numbers are palindromes ?\nOptions: a. 40, b. 45, c. 50, d. 90, e. 2500", "output": [ "d" ] }, { "id": "task1678-75017049f64c4e7eb1f0b0c14697f073", "input": "Problem: the profit obtained by selling an article for rs. 56 is the same as the loss obtained by selling it for rs. 42. what is the cost price of the article ?\nOptions: a. rs. 40, b. rs. 50, c. rs. 49, d. rs. 59, e. none of these", "output": [ "c" ] }, { "id": "task1678-a519b2dbc5564c4794efe956489120ed", "input": "Problem: what is the maximum number of points that 10 circles of different radii intersect ?\nOptions: a. 24, b. 26, c. 33, d. 90, e. 100", "output": [ "d" ] }, { "id": "task1678-69ae605998b44387b63dd7f4e94907fd", "input": "Problem: an 80 - liter solution of cool - drink is made from 10 % jasmine water. if 5 liters of jasmine and 15 liters of water were added to the solution, what percent of the solution is jasmine ?\nOptions: a. 11 %, b. 13 %, c. 15 %, d. 17 %, e. 19 %", "output": [ "b" ] }, { "id": "task1678-46e63710deb1492d8e0d0f990410a564", "input": "Problem: an error 3 % in excess is made while measuring the side of a square. the percentage of error in the calculated area of the square is\nOptions: a. 6.04 %, b. 6.14 %, c. 6.23 %, d. 6.26 %, e. 6.09 %", "output": [ "e" ] }, { "id": "task1678-b56e05e7abbf4765b9125bfab0fbd180", "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": "task1678-172bbc24936e468a95336976524b06b2", "input": "Problem: the cash realised on selling a 14 % stock is rs. 105.25, brokerage being 1 / 4 % is ?\nOptions: a. 366, b. 106, c. 102, d. 105, e. 122", "output": [ "d" ] }, { "id": "task1678-b0aa63d20aed41a98cc5192d638c66de", "input": "Problem: there are 6 boxes numbered 1, 2, …,. 6. each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. the total number of ways in which this can be done is\nOptions: a. 22, b. 21, c. 45, d. 27, e. 25", "output": [ "b" ] }, { "id": "task1678-eb36438194fb4994ae98e36b4d275ff5", "input": "Problem: a tank contains 10,000 gallons of a solution that is 5 percent sodium chloride by volume. if 2,500 gallons of water evaporate from the tank, the remaining solution will be approximately what percent sodium chloride ?\nOptions: a. 1.25 %, b. 3.75 %, c. 6.25 %, d. 6.67 %, e. 11.7 %", "output": [ "d" ] }, { "id": "task1678-a551ae3f75514be687c464aa7f717412", "input": "Problem: a, b, c and d enter into partnership. a subscribes 1 / 3 of the capital b 1 / 4, c 1 / 5 and d the rest. how much share did a get in a profit of rs. 2490 ?\nOptions: a. rs. 832, b. rs. 830, c. rs. 822, d. rs. 812, e. rs. 810", "output": [ "b" ] }, { "id": "task1678-e6cac9dfb49f45468f24ef63228240fc", "input": "Problem: the area of an isosceles trapezoid with sides of length 5 and bases of length 9 and 15 is ?\nOptions: a. 44, b. 48, c. 46, d. 47, e. 50", "output": [ "b" ] }, { "id": "task1678-20bd92c2112d44daaef41885271bd097", "input": "Problem: a train covers a distance at a speed of 240 kmph in 5 hours. to cover the same distance in 5 / 3 hours, it must travel at a speed of ?\nOptions: a. 516, b. 840, c. 560, d. 720, e. 920", "output": [ "d" ] }, { "id": "task1678-3d24d6a57d3c44c2850b7c00d250db4e", "input": "Problem: each week a restaurant serving mexican food uses the same volume of chili paste, which comes in either 25 - ounce cans or 15 - ounce cans of chili paste. if the restaurant must order 40 more of the smaller cans than the larger cans to fulfill its weekly needs, then how many larger cans are required to fulfill its weekly needs ?\nOptions: a. 40, b. 30, c. 60, d. 45, e. 55", "output": [ "c" ] }, { "id": "task1678-cc94e798deb7430eaca9e1dbc5663e3b", "input": "Problem: a 270 metres long bullet train running at the speed of 120 kmph crosses another bullet train running in opposite direction at the speed of 80 kmph in 9 seconds. what is the length of the other bullet train ?\nOptions: a. 226, b. 230, c. 430, d. 310, e. 260", "output": [ "b" ] }, { "id": "task1678-9f188db72ffb4e90adb36e19c53d7bbb", "input": "Problem: winson traveled the entire 60 miles trip. if he did the first 10 miles of at a constant rate 20 miles per hour and the remaining trip of at a constant rate 48 miles per hour, what is the his average speed, in miles per hour ?\nOptions: a. 20 mph, b. 24 mph, c. 30 mph, d. 32 mph, e. 40 mph", "output": [ "e" ] }, { "id": "task1678-4a70b2f87a3848cab7499b96da543abc", "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": "task1678-93a72764f09d4d1ba7422bf406616e65", "input": "Problem: a train running at the speed of 60 km / hr crosses a pole in 18 seconds. find the length of the train ?\nOptions: a. 150 meter, b. 170 meter, c. 156 meter, d. 300 meter, e. 154 meter", "output": [ "d" ] }, { "id": "task1678-2754db22a13f43e091fb69e715ba530a", "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": "task1678-cbbf67209ccc46b0ae36db80fc2ad561", "input": "Problem: 60 is subtracted from 50 % of a number, the result is 10. find the number ?\nOptions: a. 150, b. 120, c. 266, d. 288, e. 271", "output": [ "b" ] }, { "id": "task1678-45e00cd7bb454fd1a14a824c3ea8f726", "input": "Problem: 80 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. find the smallest part ?\nOptions: a. 35, b. 32, c. 36, d. 40, e. 52", "output": [ "a" ] }, { "id": "task1678-e89769fdce294e2795bdbeceef2063c1", "input": "Problem: the value of (. 02 ) 2 + ( 0.52 ) 2 + ( 0.035 ) 2 / ( 0.002 ) 2 + ( 0.052 ) 2 + ( 0.0035 ) 2\nOptions: a. 100, b. 1000, c.. 001, d.. 0001, e.. 01", "output": [ "a" ] }, { "id": "task1678-9979af74150c4064ab94016c0ffa0dbf", "input": "Problem: how much time does a train 160 metres long running at 72 km / hr take to pass a pole ?\nOptions: a. 8 s, b. 2.5 s, c. 7.5 s, d. 7.6 s, e. 7.4 s", "output": [ "a" ] }, { "id": "task1678-2859f71bc9114bd99eecb40e4bf7dbfb", "input": "Problem: a certain company had a total annual expenditure of 1.26 ∗ 10 ^ 7 on employee salaries last year. if the company employed 420 people, what was the average employee salary ?\nOptions: a. $ 20,000, b. $ 25,000, c. $ 35,000, d. $ 30,000, e. $ 45,000", "output": [ "d" ] }, { "id": "task1678-68a8ce4d57904ea8bb091a8045ce50be", "input": "Problem: when the positive integer k is divided by the positive integer n, the remainder is 11. if k / n = 61.2, what is the value of n ?\nOptions: a. 9, b. 20, c. 65, d. 70, e. 81", "output": [ "c" ] }, { "id": "task1678-b31494d148984c3d8dd9446ea08a560f", "input": "Problem: what is the remainder when 3 ^ 25 is divided by 5 ?\nOptions: a. 0, b. 1, c. 2, d. 3, e. 4", "output": [ "d" ] }, { "id": "task1678-0a761fc16ff8480d97aafcbdc60dfe2b", "input": "Problem: two trains of length 100 m and 200 m are 100 m apart. they start moving towards each other on parallel tracks, at speeds 36 kmph and 72 kmph. in how much time will the trains cross each other ?\nOptions: a. 40 / 6, b. 40 / 3, c. 40 / 9, d. 40 / 2, e. 40 / 1", "output": [ "b" ] }, { "id": "task1678-afd644a6f7f048c1b886e29b50bf0bfa", "input": "Problem: find the smallest 4 - digit number which is a multiple of 112.\nOptions: a. 896, b. 1008, c. 1120, d. 1024, e. none of these", "output": [ "b" ] }, { "id": "task1678-9038ccbfb8e449b5a5983a43f3f80465", "input": "Problem: on june 1 a bicycle dealer noted that the number of bicycles in stock had decreased by 3 for each of the past 5 months. if the stock continues to decrease at the same rate for the rest of the year, how many fewer bicycles will be in stock on september 1 than were in stock on january 1 ?\nOptions: a. 8, b. 12, c. 24, d. 32, e. 36", "output": [ "c" ] }, { "id": "task1678-9cc897d87f9f4aa4983d0d5db7841f8d", "input": "Problem: the average age of 15 students of a class is 15 years. out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years, the age of the 15 th student is\nOptions: a. 11, b. 15, c. 6, d. 8, e. 76", "output": [ "a" ] }, { "id": "task1678-788d1d27d565474cabb989e2acd4b52a", "input": "Problem: the sale price of a trolley bag including the sale tax is rs. 560. the rate of sale tax is 12 %. if the shopkeeper has made a profit of 25 %, the cost price of the trolley bag is :\nOptions: a. rs 1000, b. rs 900, c. rs 400, d. rs 600, e. none of these", "output": [ "c" ] }, { "id": "task1678-7b01b1dfb58e43c59915b12a6582ccea", "input": "Problem: stacy and heather are 40 miles apart and walk towards each other along the same route. stacy walks at constant rate that is 1 mile per hour faster than heather ' s constant rate of 5 miles / hour. if heather starts her journey 24 minutes after stacy, how far from the original destination has heather walked when the two meet ?\nOptions: a. 4 miles, b. 8 miles, c. 17 miles, d. 6 miles, e. 12 miles", "output": [ "c" ] }, { "id": "task1678-3f53e1123e9945ebbdc0661a56473d29", "input": "Problem: if a 1 mm thick paper is folded so that the area is halved at every fold, then what would be the thickness of the pile after 50 folds ?\nOptions: ['a. 100 km', 'b. 1000 km', 'c. 1 million km', 'd. 1 billion km', 'e. none']", "output": [ "d" ] }, { "id": "task1678-e81dc796da5b452996e83a8aa443110a", "input": "Problem: a motorcyclist goes from bombay to pune, a distance of 128 kms at an average of 32 kmph speed. another man starts from bombay by car 2 ½ hours after the first, and reaches pune ½ hour earlier. what is the ratio of the speed of the motorcycle and the car ?\nOptions: a. 1: 3, b. 1: 5, c. 1: 4, d. 1: 1, e. 1: 8", "output": [ "c" ] }, { "id": "task1678-dfdb06dde16e469e893b5a80a5909c03", "input": "Problem: a man whose speed is 5.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey ?\nOptions: a. 1 kmph, b. 5 kmph, c. 6 kmph, d. 4 kmph, e. 7 kmph", "output": [ "b" ] }, { "id": "task1678-7aa8f7f2d8a34bdfb342aab0aa95847a", "input": "Problem: when positive integer x is divided by 11, the quotient is y and the remainder is 4. when 2 x is divided by 5, the quotient is 3 y and the remainder is 4. what is the value of 4 y – x ?\nOptions: a. - 2, b. - 1, c. 0, d. 1, e. 2", "output": [ "c" ] }, { "id": "task1678-eaca6ef0dadf4693aeb71c0dd0f3ea77", "input": "Problem: martin bought 10 concert tickets, some at the full price of $ 2.00 per ticket, and some at a discounted price of $ 1.60 per ticket. if he spent a total of $ 18.40, how many discounted tickets did he buy ?\nOptions: a. 3, b. 4, c. 5, d. 6, e. 7", "output": [ "b" ] }, { "id": "task1678-1613f38aa28742f69bf7ac26fd2e12aa", "input": "Problem: the area of a square field is 625 km 2. how long will it take for a horse to run around at the speed of 25 km / h ?\nOptions: a. 12 h, b. 10 h, c. 8 h, d. 4 h, e. none of these", "output": [ "d" ] }, { "id": "task1678-6145d96aa5fb45f495996de6049d322f", "input": "Problem: how is 3 % expressed as a decimal fraction ?\nOptions: a. 0.3, b. 0.03, c. 0.003, d. 0.0003, e. 3", "output": [ "b" ] }, { "id": "task1678-32bdeb0626ac47269f5c55139d6273a3", "input": "Problem: the cross section of a canal is trapezium in shape. the canal is 12 m wide at the top and 8 m wide at the bottom. if the area of the cross section is 840 sq. m, the depth of the canal is :\nOptions: a. 42 m, b. 84 m, c. 63 m, d. 8.75 m, e. 9.75 m", "output": [ "b" ] }, { "id": "task1678-00d0f2ed78d84cf2b858f8f1e209cc10", "input": "Problem: if x / 4 years ago roger was 21 years old and x / 4 years from now he will be 4 x years old, how old will he be 5 x years from now ?\nOptions: a. 32, b. 35, c. 30, d. 40, e. 70", "output": [ "e" ] }, { "id": "task1678-76bb24f1af134807b176756eacb5852e", "input": "Problem: a producer of tea blends two varieties of tea from two tea gardens one costing rs 18 per kg and another rs 20 per kg in the ratio 5: 3. if he sells the blended variety at rs 21 per kg, then his gain percent is\nOptions: a. 12 %, b. 13 %, c. 14 %, d. 15 %, e. 16 %", "output": [ "a" ] }, { "id": "task1678-40cd61ec94c84cde9288964fc2dcdf47", "input": "Problem: what should be added to 4872 so that it may become a perfect square ?\nOptions: a. 24, b. 25, c. 26, d. 27, e. 28", "output": [ "e" ] }, { "id": "task1678-982c619b0b0444a39ae9026308e3c598", "input": "Problem: if 45 - [ 28 - { 37 - ( 15 - * ) } ] = 54, then * is equal to :\nOptions: a. - 29, b. - 19, c. 15, d. 29, e. 39", "output": [ "c" ] }, { "id": "task1678-b03bb8ea515d4373bbfdbd6395277fc8", "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": "task1678-db49bc04538a445dae6d92a56ef615c0", "input": "Problem: how many prime numbers are between 29 / 3 and 87 / 6 ?\nOptions: a. 1, b. 2, c. 3, d. 4, e. 5", "output": [ "b" ] }, { "id": "task1678-837ab919f3294e5ebfea738d84d1965c", "input": "Problem: find the greatest number which leaves the same remainder when it divides 25, 57 and 105.\nOptions: a. 18, b. 8, c. 12, d. 16, e. none of these", "output": [ "d" ] }, { "id": "task1678-e746d31deb204822a6da5eb0de8a40fd", "input": "Problem: find large no. from below question the difference of two numbers is 1365. on dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder\nOptions: a. 1235, b. 1456, c. 1567, d. 1678, e. 1635", "output": [ "e" ] }, { "id": "task1678-46e1656868ea4b5e920f299fd37bde7d", "input": "Problem: a furniture store owner decided to drop the price of her recliners by 20 % to spur business. by the end of the week she had sold 50 % more recliners. what is the percentage increase of the gross ?\nOptions: a. 10 %, b. 15 %, c. 20 %, d. 25 %, e. 50 %", "output": [ "c" ] }, { "id": "task1678-882b31f5d7874715ae5859f86f874296", "input": "Problem: 108 ã — 108 + 92 ã — 92 = ?\nOptions: a. 20120, b. 11500, c. 20128, d. 20660, e. 20228", "output": [ "c" ] }, { "id": "task1678-431654cb12924f5a8150d8d26f44f798", "input": "Problem: 7.515 / 10.02 =\nOptions: a. 0.35, b. 0.3505, c. 0.3509, d. 0.351, e. 0.75", "output": [ "e" ] }, { "id": "task1678-4cb60715d0094f4287a500077c61f1d5", "input": "Problem: 1 - 1 - 1 - 1 - 1 - 1 do any operations between the numbers to make the sum as 37 ?\nOptions: a. 34, b. 35, c. 36, d. 37, e. 38", "output": [ "d" ] }, { "id": "task1678-70d6fc44113a44009df3c5c71a0f1cdc", "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": "task1678-26a38f01d90a47fd9f409275127c536a", "input": "Problem: two trains of equal length are running on parallel lines in the same directions at 46 km / hr. and 36 km / hr. the faster trains pass the slower train in 18 seconds. the length of each train is :\nOptions: a. 25 m, b. 50 m, c. 72 m, d. 80 m, e. none of these", "output": [ "a" ] }, { "id": "task1678-122f97534b4e477bb9166d2114a8c952", "input": "Problem: what is the area of a square field whose sides have a length of 11 meters ?\nOptions: a. 225 sq m, b. 205 sq m, c. 121 sq m, d. 167 sq m, e. 156 sq m", "output": [ "c" ] }, { "id": "task1678-ed3140dc58cc460d86579cb182d4c3b1", "input": "Problem: what is the unit digit of ( 6 ! * 3 ! / 3 ! * 4 ! ) ?\nOptions: a. 5, b. 6, c. 0, d. 3, e. 4", "output": [ "c" ] }, { "id": "task1678-4ac5bb698b6a4b558865420ffb851bec", "input": "Problem: in the coordinate plane, points ( x, 2 ) and ( 4, y ) are on line k. if line k passes through the origin and has slope 1 / 4, then x - y =\nOptions: a. 6, b. 7, c. 8, d. 9, e. 10", "output": [ "b" ] }, { "id": "task1678-652cc1f609a248a4aba74ac04d0e2e76", "input": "Problem: 275 metres long yard, 26 trees are palnted at equal distances, one tree being at each end of the yard. what is the distance between 2 consecutive trees\nOptions: a. 11, b. 12, c. 14, d. 16, e. 17", "output": [ "a" ] }, { "id": "task1678-dd1be6dc5a154870ae7a17959944458e", "input": "Problem: a group of boy scouts and girls scouts is going on a rafting trip. 60 % of the scouts arrived with signed permission slips. if 45 % of the scouts were boy scouts and 50 % of the boy scouts arrived with signed permission slips, then what percentage of the girl scouts arrived with signed permission slips ? round to the nearest percent.\nOptions: a. 64, b. 68, c. 72, d. 76, e. 80", "output": [ "b" ] }, { "id": "task1678-57abdd40003e49ea9eac302a11be8dd0", "input": "Problem: the length of the bridge, which a train 155 metres long and travelling at 45 km / hr can cross in 30 seconds, is ?\nOptions: a. 76 m, b. 178 m, c. 220 m, d. 187 m, e. 176 m", "output": [ "c" ] }, { "id": "task1678-97e32fce9e484872b711c2fa2e891306", "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": "task1678-9b637a8966dc42fa9df5861566e368ac", "input": "Problem: find the value of 2 x [ ( 3.6 x 0.48 x 2.50 ) / ( 0.12 x 0.09 x 0.5 ) ]\nOptions: a. 800, b. 500, c. 900, d. 1600, e. none", "output": [ "d" ] }, { "id": "task1678-3dbaec72294b4eb099ee7c7fa812be05", "input": "Problem: 20 is subtracted from 80 % of a number, the result is 60. find the number ?\nOptions: a. 150, b. 997, c. 100, d. 288, e. 271", "output": [ "c" ] }, { "id": "task1678-43d1869265f6419a9397ae1b4bfb3ace", "input": "Problem: a rectangular grassy plot 110 m. by 65 m has a gravel path 2.5 m wide all round it on the inside. find the cost of gravelling the path at 40 paise per sq. metre\nOptions: a. s 340, b. s 780, c. s 880, d. s 480, e. s 980", "output": [ "a" ] }, { "id": "task1678-4d2460a253a14e39b385e815b938ca78", "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": "task1678-ebbe18ed1fa14fd0954d1337ed51db67", "input": "Problem: a man sells a car to his friend at 10 % loss. if the friend sells it for rs. 54000 and gains 20 %, the original c. p. of the car was :\nOptions: a. rs. 25000, b. rs. 37500, c. rs. 50000, d. rs. 60000, e. none of these", "output": [ "c" ] }, { "id": "task1678-6f78da31f8de4f429df69b1c13ebf6e4", "input": "Problem: addison high school ’ s senior class has 160 boys and 200 girls. if 75 % of the boys and 84 % of the girls plan to attend college, what percentage of the total class plan to attend college ?\nOptions: a. 75, b. 79.5, c. 80, d. 83.5, e. 84", "output": [ "c" ] }, { "id": "task1678-666f39a1218f49e69a88dbad7f4a069e", "input": "Problem: jim ’ s taxi service charges an initial fee of $ 2.25 at the beginning of a trip and an additional charge of $ 0.35 for each 2 / 5 of a mile traveled. what is the total charge for a trip of 3.6 miles ?\nOptions: a. $ 3.15, b. $ 4.45, c. $ 4.80, d. $ 5.05, e. $ 5.40", "output": [ "e" ] }, { "id": "task1678-c66d56420aaa49389cd93f29c2c0811b", "input": "Problem: 5.005 / 4.004 =\nOptions: a. 1.05, b. 1.50015, c. 1.501, d. 1.5015, e. 1.25", "output": [ "e" ] }, { "id": "task1678-f588cf2ab477481baa4cc07e5584518c", "input": "Problem: if a ( a + 7 ) = 60 and b ( b + 7 ) = 60, where a ≠ b, then a + b =\nOptions: a. − 7, b. − 2, c. 2, d. 46, e. 48", "output": [ "a" ] }, { "id": "task1678-b2138cc54aa841d9b21f567bda1aff5c", "input": "Problem: find the probability that the number drawn is a multiple of 6 and 8.\nOptions: a. 3 / 50, b. 2 / 25, c. 1 / 50, d. 1 / 25, e. 4 / 25", "output": [ "d" ] }, { "id": "task1678-aeb2d43bb3c14aaca20c4be3c1b264da", "input": "Problem: the average age of 36 students in a group is 18 years. when teacher ' s age is included to it, the average increases by one. what is the teacher ' s age in years ?\nOptions: a. 35 years, b. 55 years, c. 51 years, d. 54 years, e. none of these", "output": [ "b" ] }, { "id": "task1678-9b405d076f004a1cb8f663b62c5696e2", "input": "Problem: fred and sam are standing 55 miles apart and they start walking in a straight line toward each other at the same time. if fred walks at a constant speed of 6 miles per hour and sam walks at a constant speed of 5 miles per hour, how many miles has sam walked when they meet ?\nOptions: a. 5, b. 9, c. 25, d. 30, e. 45", "output": [ "c" ] }, { "id": "task1678-df29ba35136f484a807eefd5b3078db4", "input": "Problem: an association of mathematics teachers has 1,260 members. only 525 of these members cast votes in the election for president of the association. what percent of the total membership voted for the winning candidate if the winning candidate received 65 percent of the votes cast ?\nOptions: a. 75 %, b. 58 %, c. 42 %, d. 27.08 %, e. 25 %", "output": [ "d" ] }, { "id": "task1678-18fa3ca2925045aaa7a9bfdbe46f2d56", "input": "Problem: what is the remainder of ( 3682 * 3684 * 3686 ) divided by 19 ?\nOptions: a. 0, b. 1, c. 2, d. 3, e. 4", "output": [ "a" ] }, { "id": "task1678-299d1b75a312418f990b1a9e9a4fc2a7", "input": "Problem: a can do a work in 24 days and b can do it in 12 days. in how many days a and b can do the work ?\nOptions: a. 20 days, b. 10 days, c. 6 days, d. 5 days, e. 8 days", "output": [ "e" ] }, { "id": "task1678-eba3bd616489406c8e92afeb14c5715d", "input": "Problem: a prize of $ 1200 is to be distributed among 40 winners, each of whom must be awarded at least $ 40. if 2 / 5 of the prize will be distributed to 3 / 5 of the winners, what is the greatest possible individual award ?\nOptions: a. $ 100, b. $ 120, c. $ 280, d. $ 300, e. $ 360", "output": [ "b" ] }, { "id": "task1678-50a995defe3346668277fa37de82101b", "input": "Problem: the profits of qrs company rose 20 % from march to april, then dropped 20 % from april to may, then rose 50 % from may to june. what was the percent increase for the whole quarter, from march to june ?\nOptions: a. 15 %, b. 32 %, c. 44 %, d. 62 %, e. 80 %", "output": [ "c" ] }, { "id": "task1678-3a72cca25b374937bd183df2166ab4d7", "input": "Problem: if the speed of a man is 63 km per hour, then what is the distance traveled by him in 25 seconds ?\nOptions: a. 275 m, b. 360 m, c. 375 m, d. 437.5 m, e. 440 m", "output": [ "d" ] }, { "id": "task1678-5fded55e0786422fb232c3e85e305928", "input": "Problem: john purchased some shirts and trousers for $ 700. he paid $ 400 less for the shirts than he did for the trousers. if he bought 5 shirts and the cost of a shirt is $ 20 less than that of a trouser, how many trousers did he buy ?\nOptions: a. 4, b. 5, c. 6, d. 7, e. 11", "output": [ "e" ] }, { "id": "task1678-95cee6a786094f099200db0907d27f69", "input": "Problem: if a sum of money doubles itself in 10 years at simple interest, the ratepercent per annum is\nOptions: a. 10, b. 12.5, c. 13, d. 13.5, e. 14", "output": [ "a" ] }, { "id": "task1678-4d7162a09f7b4755b2d09ec679d3875d", "input": "Problem: a group of hikers is planning a trip that will take them up a mountain using one route and back down using another route. they plan to travel down the mountain at a rate of one and a half times the rate they will use on the way up, but the time each route will take is the same. if they will go up the mountain at a rate of 7 miles per day and it will take them two days, how many miles long is the route down the mountain ?\nOptions: a. 18, b. 19, c. 20, d. 21, e. 22", "output": [ "d" ] }, { "id": "task1678-1182e7718af34f32a7869d648c8a5b12", "input": "Problem: of the goose eggs laid at a certain pond, 1 / 4 hatched and 4 / 5 of the geese that hatched from those eggs survived the first month. of the geese that survived the first month, 3 / 5 did not survive the first year. if 120 geese survived the first year and if no more than one goose hatched from each egg, how many goose eggs were laid at the pond ?\nOptions: a. 1200, b. 1300, c. 1400, d. 1500, e. 1600", "output": [ "d" ] }, { "id": "task1678-ad9fd614285f485283025de5495e491a", "input": "Problem: 2.08 can be expressed in terms of percentage as\nOptions: a. 2.08 %, b. 20.8 %, c. 208 %, d. 0.208 %, e. none of these", "output": [ "c" ] }, { "id": "task1678-bfba9ce3261f4f13bef910649fe11e55", "input": "Problem: the population of a town is 8000. it decreases annually at the rate of 30 % p. a. what will be its population after 2 years ?\nOptions: a. 3920, b. 5120, c. 5200, d. 5400, e. 5500", "output": [ "a" ] }, { "id": "task1678-08fa49d693a5495f9e4105d4524604e3", "input": "Problem: a hall is 15 meters long and 10 meters wide. if the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, what is the volume of the hall ( in cubic meters ) ?\nOptions: a. 600, b. 700, c. 800, d. 900, e. 1000", "output": [ "d" ] }, { "id": "task1678-bcbc630f3c4a4b22af80cfa982d05238", "input": "Problem: a basketball team composed of 12 players scored 100 points in a particular contest. if none of the individual players scored fewer than 7 points, what is the greatest number of points e that an individual player might have scored ?\nOptions: a. 7, b. 13, c. 16, d. 21, e. 23", "output": [ "e" ] }, { "id": "task1678-31a5614f77094c27a332c79dcce0d496", "input": "Problem: a certain company retirement plan has arule of 70 provision that allows an employee to retire when the employee ' s age plus years of employment with the company total at least 70. in what year could a female employee hired in 1990 on her 32 nd birthday first be eligible to retire under this provision ?\nOptions: a. 2003, b. 2009, c. 2005, d. 2006, e. 2007", "output": [ "b" ] }, { "id": "task1678-304104c157214fa39d7ebca55b9e0850", "input": "Problem: the average age of 17 persons in a office is 15 years. out of these, the average age of 5 of them is 14 years and that of the other 9 persons is 16 years. the age of the 15 th person is ?\nOptions: a. 39, b. 41, c. 45, d. 42, e. 50", "output": [ "b" ] }, { "id": "task1678-7c9a08dd5ec64ec39c80910acf1743fb", "input": "Problem: ajay can ride 50 km in 1 hour. in how many hours he can ride 1500 km ?\nOptions: a. 30 hrs, b. 15 hrs, c. 20 hrs, d. 25 hrs, e. 18 hrs", "output": [ "a" ] }, { "id": "task1678-8fd6b0091b5c4102a02b3d617c3e04fe", "input": "Problem: a square mirror has exactly half the area of the rectangular wall on which it is hung. if each side of the mirror is 54 inches and the width of the wall is 68 inches, what is the length of the wall, in inches ?\nOptions: ['a. 25.7', 'b. 72.7', 'c. 70.7', 'd. 85.7', 'e. 56.7']", "output": [ "d" ] }, { "id": "task1678-11b5dd10c93c4eba863341e7ff59a605", "input": "Problem: fresh grapes contain 80 % water by weight and raisins obtained by drying fresh grapes contain 25 % water by weight. how many kgs of fresh grapes are needed to get 40 kgs of raisins ?\nOptions: a. 150 kgs, b. 64 kgs, c. 72 kgs, d. 65 kgs, e. 70 kgs", "output": [ "a" ] }, { "id": "task1678-c9b61e08a1d34d6aba23874de2a0953e", "input": "Problem: a is twice as good a work man as b and together they finish the work in 4 days. in how many days a alone can finish the work ?\nOptions: a. 3, b. 2, c. 7, d. 9, e. 6", "output": [ "e" ] }, { "id": "task1678-bccd6ae706ed4a5bb8b3637a1aaf35ad", "input": "Problem: if p is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3 ^ k is a factor of p ?\nOptions: a. 10, b. 12, c. 14, d. 16, e. 18", "output": [ "c" ] }, { "id": "task1678-48d9b99ff0f74f318e14dc7b99954e41", "input": "Problem: the membership of a committee consists of 3 english teachers, 4 mathematics teachers, and 2 social studies teachers. if 2 committee members are to be selected at random to write the committee ’ s report, what is the probability that the two members selected will both be english teachers ?\nOptions: a. 2 / 3, b. 1 / 3, c. 2 / 9, d. 1 / 12, e. 1 / 24", "output": [ "d" ] }, { "id": "task1678-0f3dd0043d674e7082f95e6573fa502a", "input": "Problem: a woman swims downstream 45 km and upstream 15 km taking 3 hours each time, what is the speed of the woman in still water ?\nOptions: a. 10, b. 12, c. 14, d. 16, e. 18", "output": [ "a" ] }, { "id": "task1678-e219986efb574eceb1d5e4a2908ba0a8", "input": "Problem: in order to obtain an income of rs. 1000 from 50 % stock at rs. 500, one must make an investment of\nOptions: a. rs. 17000, b. rs. 16050, c. rs. 15400, d. rs. 10000, e. rs. 10500", "output": [ "d" ] }, { "id": "task1678-4973ad2ea77448df975a067cff57eb6c", "input": "Problem: jack and jill are marathon runners. jack can finish a marathon ( 40 km ) in 4.5 hours and jill can run a marathon in 4.0 hours. what is the ratio of their average running speed ? ( jack: jill )\nOptions: a. 14 / 15, b. 15 / 14, c. 8 / 9, d. 5 / 4, e. can not be determined", "output": [ "c" ] }, { "id": "task1678-d89084e739854d4b8d3030e695522392", "input": "Problem: a snooker tournament charges $ 45.00 for vip seats and $ 15.00 for general admission ( “ regular ” seats ). on a certain night, a total of 300 tickets were sold, for a total cost of $ 7,500. how many fewer tickets were sold that night for vip seats than for general admission seats ?\nOptions: a. 212, b. 240, c. 220, d. 230, e. 225", "output": [ "c" ] }, { "id": "task1678-118c6544e05f41e5a645e221fb49ce5e", "input": "Problem: the length of a rectangular floor is more than its breadth by 100 %. if rs. 600 is required to paint the floor at the rate of rs. 3 per sq m, then what would be the length of the floor ?\nOptions: a. 15.0 m., b. 14.4 m., c. 12.0 m., d. 16.2 m., e. 16.5 m.", "output": [ "b" ] }, { "id": "task1678-5eb8a674d1974a9a987b53e14db90e0c", "input": "Problem: 5 % people of a village in sri lanka died by bombardment, 20 % of the remainder left the village on account of fear. if now the population is reduced to 3553, how much was it in the beginning ?\nOptions: a. 2988, b. 2776, c. 4400, d. 4675, e. 881", "output": [ "d" ] }, { "id": "task1678-742361a3bf4e4c7690266cb0c3f5a14f", "input": "Problem: what is the sum of the odd integers from 35 to 55, inclusive ?\nOptions: a. 495, b. 550, c. 555, d. 600, e. 605", "output": [ "a" ] }, { "id": "task1678-7d09bcb2a2db40c6a3b6204748c34972", "input": "Problem: every monday, marina eats one croissant and every tuesday she eats two croissants. on each subsequent day of the week, she eats a number of croissants equal to the sum of the croissants eaten on the two previous days, with the exception that if she eats more than 4 croissants on any particular day, the next day she will eat only one croissant. at the end of the week ( which runs from monday through sunday ), the cycle resets, and marina goes back to eating one croissant on monday, two on tuesday, and so forth. if a particular month begins on a saturday, how many croissants will marina eat on the 30 th of that month ?\nOptions: a. 1, b. 2, c. 3, d. 5, e. 6", "output": [ "a" ] }, { "id": "task1678-f609de2b9eab492eae992580ff89bcc4", "input": "Problem: a boy swims downstream 48 km and upstream 12 km taking 6 hours each time; what is the speed of the current ?\nOptions: a. 1, b. 2, c. 3, d. 4, e. 5", "output": [ "c" ] }, { "id": "task1678-d63856b63c194a5aa1a1e075f4f67e81", "input": "Problem: if the sides of a cube are in the ratio 5: 3. what is the ratio of their diagonals ?\nOptions: ['a. 5: 9', 'b. 9: 3', 'c. 5: 4', 'd. 3: 5', 'e. 5: 3']", "output": [ "e" ] }, { "id": "task1678-c0376fbdb7ad4c598943c137b2220836", "input": "Problem: the average weight of 26 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. find the average weights of all the boys in the class.\nOptions: a. 49.05, b. 42.25, c. 50, d. 51.25, e. 52.25", "output": [ "a" ] }, { "id": "task1678-16b8a45a3c5a4844af860370170a2df0", "input": "Problem: a one - foot stick is marked in 1 / 4 and 1 / 5 portion. how many total markings will there be, including the end points ?\nOptions: a. 18, b. 16, c. 13, d. 9, e. 11", "output": [ "d" ] }, { "id": "task1678-a4e2f9899ffc429b978822d879a7df6a", "input": "Problem: find out the c. i on rs. 5000 at 4 % p. a. compound half - yearly for 1 1 / 2 years ?\nOptions: a. 272.22, b. 128.29, c. 306.04, d. 198.39, e. 212.22", "output": [ "c" ] }, { "id": "task1678-b6bd3d881f0943febee85dc604cd64f5", "input": "Problem: the average score of a cricketer in 2 matches is 30 and in other 3 matches is 40. then find the average score in all the 5 matches ?\nOptions: a. 25, b. 27, c. 30, d. 35, e. 36", "output": [ "e" ] }, { "id": "task1678-e3326558b0814eb28a93a50e006343ec", "input": "Problem: two spherical balls lie on the ground touching. if one of the balls has a radius of 9 cm, and the point of contact is 10 cm above the ground, what is the radius of the other ball ( in centimeters ) ?\nOptions: a. 50 / 4, b. 70 / 6, c. 80 / 7, d. 90 / 8, e. 100 / 9", "output": [ "d" ] }, { "id": "task1678-853a8bcc6f5d40279dc5378c19068124", "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": "task1678-9a39030b3cd64b68a49bb730ec163537", "input": "Problem: a solid metallic spherical ball of diameter 6 cm is melted and recast into a cone with diameter of the base as 12 cm. the height of the cone is :\nOptions: ['a. 8 cm', 'b. 6 cm', 'c. 4 cm', 'd. 3 cm', 'e. none']", "output": [ "d" ] }, { "id": "task1678-cd6f613eadab49fda934e65ed286f294", "input": "Problem: the present worth of rs. 2310 due years hence, the rate of interest being 15 % per annum, is :\nOptions: a. rs. 1440, b. rs. 1750, c. rs. 1680, d. rs. 1840, e. none of these", "output": [ "c" ] }, { "id": "task1678-88d02eade2454fd2ad6a2f7e159fab7d", "input": "Problem: if x is the median of the set { 8 / 2, 11 / 3, 27 / 9, 21 / 5, x }, x could be\nOptions: a. 4, b. 17 / 5, c. 16 / 5, d. 30 / 7, e. 31 / 7", "output": [ "a" ] }, { "id": "task1678-1261ba2b1be44ac981ab30cd463b2156", "input": "Problem: how many seconds will a train 100 meters long take to cross a bridge 140 meters long if the speed of the train is 36 kmph ?\nOptions: a. 26, b. 24, c. 25, d. 82, e. 27", "output": [ "b" ] }, { "id": "task1678-217d50ae2b2448cbb4e661475bd4b2f2", "input": "Problem: while working alone at their constant rates, computer x can process 240 files in 12 hours, and computer y can process 240 files in 6 hours. if all files processed by these computers are the same size, how many hours would it take the two computers, working at the same time at their respective constant rates, to process a total of 240 files ?\nOptions: a. 3, b. 3.5, c. 4, d. 4.5, e. 5", "output": [ "c" ] }, { "id": "task1678-74ed83c8b82b44fab7a30fcf15e55277", "input": "Problem: a and b together can complete work in 6 days. a alone starts working and leaves it after working for 4 days completing only half of the work. in how many days it can be completed if the remaining job is undertaken by b ?\nOptions: a. 4, b. 12, c. 5, d. 6, e. 7", "output": [ "b" ] }, { "id": "task1678-e63743f2370b459b81baf7186f337860", "input": "Problem: in town x, 64 percent of the population are employed, and 46 percent of the population are employed males. what percent of the employed people in town x are females ?\nOptions: a. 16 %, b. 25 %, c. 28 %, d. 40 %, e. 52 %", "output": [ "c" ] }, { "id": "task1678-d46a42a52d534c4bb93f4c3077905225", "input": "Problem: the lcm of two numbers is 2310 and hcf is 55. if one of the numbers is 210. then what is the other number ?\nOptions: a. 715, b. 825, c. 330, d. 605, e. 465", "output": [ "d" ] }, { "id": "task1678-e0cbe8f068894e46a00ab09314ba362c", "input": "Problem: what is the sum of all possible solutions to | x - 2 | ^ 2 + | x - 2 | = 20 ?\nOptions: a. - 1, b. 6, c. 7, d. 8, e. 14", "output": [ "d" ] }, { "id": "task1678-fd7c63e419264a1f86f8f7ff4e0c68f2", "input": "Problem: a and b invests rs. 2500 and rs. 4000 respectively in a business. if a doubles his capital after 6 months. in what ratio should a and b divide that year ' s profit ?\nOptions: a. 11: 5, b. 15: 16, c. 15: 2, d. 9: 9, e. 11: 1", "output": [ "b" ] }, { "id": "task1678-be960b5bf8184e74901139df3d679a91", "input": "Problem: find the average of first 4 multiples of 11 ?\nOptions: a. 10, b. 12.6, c. 27.5, d. 31.3, e. 40.8", "output": [ "c" ] }, { "id": "task1678-535029eeb3344dacbb0b8d03b4e561a5", "input": "Problem: a car traveled from san diego to san francisco at an average speed of 54 miles per hour. if the journey back took twice as long, what was the average speed of the trip ?\nOptions: a. 24., b. 32., c. 36., d. 42., e. 44.", "output": [ "c" ] }, { "id": "task1678-5e99d13d92cf4936ba7d9369e3c082f1", "input": "Problem: a runner runs the 40 miles from marathon to athens at a constant speed. halfway through the run she injures her foot, and continues to run at half her previous speed. if the second half takes her 8 hours longer than the first half, how many hours did it take the runner to run the second half ?\nOptions: a. 10, b. 12, c. 16, d. 20, e. 24", "output": [ "c" ] }, { "id": "task1678-b0171a011c6549918a76af36d7ecf06e", "input": "Problem: a pump will fill a tank in 3 hours. because of a leak in the tank, it took 3 hours 30 min to fill the tank. in what time the leak can drain out all the water of the tank and will make tank empty ?\nOptions: a. 20 hrs, b. 21 hrs, c. 22 hrs, d. 23 hrs, e. 24 hrs", "output": [ "b" ] }, { "id": "task1678-a9ffcbd82f0f45738016e17658388305", "input": "Problem: the area of a square garden is q square feet and the perimeter is p feet. if q = p + 21, what is the perimeter of the garden in feet ?\nOptions: ['a. 24', 'b. 28', 'c. 32', 'd. 36', 'e. 40']", "output": [ "b" ] }, { "id": "task1678-6ef4fb2e55d142ccba28f7d68797942c", "input": "Problem: a train 100 m long passes a man, running at 5 km / hr in the same direction in which the train is going, in 10 seconds. the speed of the train is ?\nOptions: a. 28, b. 50, c. 88, d. 41, e. 12", "output": [ "d" ] }, { "id": "task1678-a068d084545e49c0ba584c37c8f99184", "input": "Problem: a positive number x is multiplied by 2, and this product is then divided by 4. if the positive square root of the result of these two operations equals x, what is the value of x ?\nOptions: a. 9 / 4, b. 3 / 2, c. 4 / 3, d. 2 / 3, e. 1 / 2", "output": [ "a" ] }, { "id": "task1678-9afadf16ea594d85985dc78064e2969d", "input": "Problem: how many multiples of 3 are there between 10 and 100, exclusive ?\nOptions: a. 30, b. 29, c. 28, d. 31, e. 33", "output": [ "a" ] }, { "id": "task1678-2fad86a410bb4eb8bef88fd4f695bee4", "input": "Problem: an empty fuel tank with a capacity of 200 gallons was filled partially with fuel a and then to capacity with fuel b. fuel a contains 12 % ethanol by volume and fuel b contains 16 % ethanol by volume. if the full fuel tank contains 28 gallons of ethanol, how many gallons of fuel a were added ?\nOptions: a. 160, b. 150, c. 100, d. 80, e. 50", "output": [ "c" ] }, { "id": "task1678-2b4500dffaa140a08c157996eb935025", "input": "Problem: maxwell leaves his home and walks toward brad ' s house. one hour later, brad leaves his home and runs toward maxwell ' s house. if the distance between their homes is 14 kilometers, maxwell ' s walking speed is 4 km / h, and brad ' s running speed is 6 km / h. what is the total time it takes maxwell before he meets up with brad ?\nOptions: a. 2, b. 4, c. 5, d. 6, e. 8", "output": [ "a" ] }, { "id": "task1678-faa87fbb3692431faf6f5ff60457b30c", "input": "Problem: the total price of a basic computer and printer are $ 2,500. if the same printer had been purchased with an enhanced computer whose price was $ 500 more than the price of the basic computer, then the price of the printer would have been 2 / 5 of that total. what was the price of the basic computer ?\nOptions: a. 1300, b. 1600, c. 1750, d. 1900, e. 2000", "output": [ "a" ] }, { "id": "task1678-bec6737881894e4386d4d09b7cef487e", "input": "Problem: in a lottery there are 20 prizes and 35 blanks. a lottery is drawn at random. what is the probability of getting a prize\nOptions: a. 2 / 13, b. 4 / 11, c. 5 / 11, d. 6 / 11, e. 3 / 13", "output": [ "b" ] }, { "id": "task1678-95d691f7b0bb40379dbbe94bfbdea337", "input": "Problem: lloyd normally works 7.5 hours per day and earns $ 3.50 per hour. for each hour he works in excess of 7.5 hours on a given day, he is paid 1.5 times his regular rate. if lloyd works 10.5 hours on a given day, how much does he earn for that day ?\nOptions: a. $ 33.75, b. $ 42.00, c. $ 51.75, d. $ 54.00, e. $ 70.00", "output": [ "b" ] }, { "id": "task1678-37b61f16020648dcb19f9fd26d645768", "input": "Problem: tammy climbed a mountain in two days. she spent a total of 14 hours climbing the mountain. on the second day, she walked at an average speed that was half a kilometer per hour faster, but 2 hours less than what she walked on the first day. if the total distance she climbed during the two days is 52 kilometers, how many e kilometers per hour did tammy walk on the second day ?\nOptions: a. 3, b. 3.5, c. 4, d. 4.5, e. 6", "output": [ "c" ] }, { "id": "task1678-1cc9fd2c1d81481baf17992135cdb97f", "input": "Problem: the l. c. m of two numbers is 2310 and their h. c. f is 30. if one number is 462 the other is\nOptions: a. 330, b. 300, c. 270, d. 150, e. 350", "output": [ "d" ] }, { "id": "task1678-6173c044f09746b7b4067d3fd7620de1", "input": "Problem: a reduction of 22 % in the price of salt enables a lady to obtain 10 kgs more for rs. 100, find the original price per kg ?\nOptions: a. s. 2.82, b. s. 2.4, c. s. 2.5, d. s. 2.2, e. s. 2.1", "output": [ "a" ] }, { "id": "task1678-cf5cab4ba67e4cbd98235558fc60462a", "input": "Problem: a person incurs a loss of 5 % be selling a watch for rs. 1140. at what price should the watch be sold to earn 5 % profit.\nOptions: a. rs. 1200, b. rs. 1230, c. rs. 1260, d. rs. 1290, e. rs. 1270", "output": [ "c" ] }, { "id": "task1678-e4158fbb705d4f08a89e9f5a06eb42c9", "input": "Problem: patanjali walked for 3 days. she walked 18 miles on the first day, walking 3 miles per hour. on the second day she walked for one less hour but she walked one mile per hour, faster than on the first day. on the third day she walked the same number of hours as on the first day, but at the same speed as on the second day. how many miles in total did she walk ?\nOptions: a. 24, b. 44, c. 58, d. 60, e. 62", "output": [ "e" ] }, { "id": "task1678-c902ded57e8a4162ae209c0955f3ff5a", "input": "Problem: the current in a river is 10 mph. a boat can travel 50 mph in still water. how far up the river can the boat travel if the round trip is to take 5 hours ?\nOptions: a. 120, b. 100, c. 96, d. 85, e. 150", "output": [ "a" ] }, { "id": "task1678-f659d5bcaa7544e188e69dd96a623e65", "input": "Problem: 60 is to be divided into two parts such that the sum of 10 times the first and 22 times the second is 780. the bigger part is :\nOptions: a. 33, b. 45, c. 26, d. 28, e. 19", "output": [ "b" ] }, { "id": "task1678-be95c891838f45a98a7db0c53e469cbd", "input": "Problem: the sum of two number is 25 and their difference is 13. find their product.\nOptions: a. 114, b. 104, c. 315, d. 350, e. 400", "output": [ "a" ] }, { "id": "task1678-c4b41a3d86a54d17bbe3aef3f3e93a09", "input": "Problem: a library branch originally contained 18360 volumes, 30 % of which were fiction novels. 1 / 3 of the volumes were transferred to another location and 1 / 5 of the volumes transferred were fiction novels. what percent of the remaining collection was fiction novels ?\nOptions: a. 2.5 %, b. 17.67 %, c. 28.3 %, d. 36 %, e. 73.6 %", "output": [ "d" ] }, { "id": "task1678-d595abd4b3d741aa8f2665d207a4c817", "input": "Problem: there is one 4 - digit whole number n, such that the last 4 digits of n 2 are in fact the original number n\nOptions: a. 8476, b. 7376, c. 9376, d. 7378, e. 9466", "output": [ "c" ] }, { "id": "task1678-970c0495aa274f83b4b92dda752d5662", "input": "Problem: when two dice are tossed, what is the probability that the total score is a prime number ?\nOptions: a. 1 / 6, b. 3, c. 5 / 12, d. 7 / 12, e. 9 / 12", "output": [ "c" ] }, { "id": "task1678-24b4a321522b4504957ea2e2e5dd0c3c", "input": "Problem: running at the same constant rate, 6 identical machines can produce a total of 420 bottles per minute. at this rate, how many bottles could 10 such machines produce in 4 minutes ?\nOptions: a. 648, b. 1800, c. 2800, d. 10800, e. 10900", "output": [ "c" ] }, { "id": "task1678-deaf3ad141ce43fda87928483515e06c", "input": "Problem: there is food for 760 men for 22 days. how many more men should join after two days so that the same food may last for 5 days more ?\nOptions: a. 2280, b. 2240, c. 2299, d. 2288, e. 2266", "output": [ "a" ] }, { "id": "task1678-dfc2ae0ee301483caf63c08157ccc05d", "input": "Problem: the ratio of the volumes of two cubes is 216: 343. what is the ratio of their total surface areas ?\nOptions: a. 81: 12, b. 31: 36, c. 81: 22, d. 8: 19, e. 1: 11", "output": [ "b" ] }, { "id": "task1678-c860fdc4a00b4936856eb73ee1bbd456", "input": "Problem: the length and breadth of a rectangle is increased by 10 % and 30 % respectively. what is the increase in the area ?\nOptions: a. 43.0, b. 44.0, c. 43.5, d. 45.0, e. 42.0", "output": [ "a" ] }, { "id": "task1678-92c1e51c0e81445eb3c05d14f09316d8", "input": "Problem: the distance between 2 cities a and b is 1000 km. a train starts from a at 11 a. m. and travels towards b at 100 km / hr. another starts from b at 12 p. m. and travels towards a at 150 km / hr. at what time do they meet ?\nOptions: a. 11 am., b. 12 p. m., c. 3 pm., d. 4 p. m., e. 1 p. m.", "output": [ "d" ] }, { "id": "task1678-8e453298407a4e03a3edb93928bec2fe", "input": "Problem: in the number 11,0 ab, a and b represent the tens and units digits, respectively. if 11,0 ab is divisible by 65, what is the greatest possible value of b × a ?\nOptions: a. 0, b. 5, c. 10, d. 15, e. 25", "output": [ "c" ] }, { "id": "task1678-c428422e44134b5b9ba1c7f97d58308b", "input": "Problem: if k is the greatest positive integer such that 3 ^ k is a divisor of 15 ! then k =\nOptions: a. 3, b. 4, c. 5, d. 6, e. 7", "output": [ "d" ] }, { "id": "task1678-bef858ade2424b8cb0aed7f12ce4f5d0", "input": "Problem: how many of the integers between 15 and 55 are even ?\nOptions: a. 21, b. 20, c. 11, d. 10, e. 9", "output": [ "b" ] }, { "id": "task1678-7e8c6c74aedb4ce8a360c5553b119229", "input": "Problem: count the numbers between 10 - 99 which yield a remainder of 5 when divided by 8 and also yield a remainder of 1 when divided by 6 ?\nOptions: a. one, b. three, c. two, d. five, e. four", "output": [ "e" ] }, { "id": "task1678-321fe9a0c4d046659027ac29469cea1a", "input": "Problem: a train 510 m long is running at a speed of 45 km / hr. in what time will it pass a bridge 140 m long ?\nOptions: a. 40, b. 52, c. 26, d. 21, e. 14", "output": [ "b" ] }, { "id": "task1678-aae1b3eb13974a7d8a246f6914628494", "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": "task1678-afaba58cf0734f6dae0b45db462ddea9", "input": "Problem: a ( 7, w ^ 3 ) is the ( x, y ) coordinate of point located on the parabola y = x ^ 2 + 15. what is the value of w ?\nOptions: a. 3., b. 4., c. 5., d. 6., e. 9.", "output": [ "b" ] }, { "id": "task1678-e60408a8e58e4f12ad9639e60c6f3851", "input": "Problem: the timing of a college is from 12 p. m to 4.10 p. m. five lectures are held in the given duration and a break of 5 minutes after each lecture is given to the students. find the duration of each lecture.\nOptions: a. 52 minutes, b. 45 minutes, c. 46 minutes, d. 48 minutes, e. 44 minutes", "output": [ "c" ] }, { "id": "task1678-eb3f34c65d71418aa667941216fe2b07", "input": "Problem: the grade point average of one third of the classroom is 45; the grade point average of the rest is 60. what is the grade point average of the whole class ?\nOptions: a. 54, b. 55, c. 60, d. 65, e. 70", "output": [ "b" ] }, { "id": "task1678-6bae137aa9e542418d113e307cd1366b", "input": "Problem: 63 persons can repair a road in 12 days, working 5 hours a day. in how many days will 30 persons, working 6 hours a day, complete the work ?\nOptions: a. 21, b. 23, c. 24, d. 25, e. 26", "output": [ "a" ] }, { "id": "task1678-6d5c60c0176f4415bea38738a9f85250", "input": "Problem: marcella has 24 pairs of shoes. if she loses 9 individual shoes, what is the greatest number of matching pairs she could have left ?\nOptions: a. 21, b. 20, c. 19, d. 16, e. 15", "output": [ "c" ] }, { "id": "task1678-f3ec43cf5919475985eef258d850a133", "input": "Problem: the sum of the squares of three numbers is 138, while the sum of their products take two at a time is 131. find the sum ?\nOptions: a. 10, b. 30, c. 20, d. 50, e. 40", "output": [ "c" ] }, { "id": "task1678-d60280dfbf9d4befbffcc1aaf6d9b27e", "input": "Problem: two trains are approaching each other at 60 mph each. the length of each train is 1 / 6 miles. when the two locomotives ( engines ) meet, how many seconds will it take for them to pass each other completely ?\nOptions: a. 8 sec, b. 11 sec, c. 12 sec, d. 10 sec, e. 15 sec", "output": [ "d" ] }, { "id": "task1678-9231bd932eff450e92905523356696ce", "input": "Problem: a courtyard is 25 meter long and 15 meter board is to be paved with bricks of dimensions 20 cm by 10 cm. the total number of bricks required is ?\nOptions: a. 22877, b. 27778, c. 18750, d. 27999, e. 17799", "output": [ "c" ] }, { "id": "task1678-8e7ab3a127ce4d8180058d15c34f45b0", "input": "Problem: a team won 50 percent of its first 60 games in a particular season, and 80 percent of its remaining games. if the team won a total of 70 percent of its games that season, what was the total number of games that the team played ?\nOptions: a. 75, b. 90, c. 120, d. 150, e. 180", "output": [ "e" ] }, { "id": "task1678-3384cb2a4d5e4fecba2edbbd2afb1e4b", "input": "Problem: if k and w are the dimensions of a rectangle that has area 48, and if k and w are integers such that k > w, what is the total number of possible values of k ?\nOptions: a. four, b. three, c. two, d. five, e. six", "output": [ "a" ] }, { "id": "task1678-70fa6d444e764696bf8a7c8afccee08c", "input": "Problem: a number when divided by 5, gives 45 as quotient and 0 as remainder. what will be the remainder when dividing the same number by 10\nOptions: a. a. 5, b. b. 3, c. c. 4, d. d. 6, e. e. 7", "output": [ "a" ] }, { "id": "task1678-9d07aae306964822811040d02cf286ec", "input": "Problem: a certain elevator has a safe weight limit of 1950 pounds. what is the greatest possible number of people who can safely ride on the elevator at one time with the average ( arithmetic mean ) weight of half the riders being 190 pounds and the average weight of the others being 200 pounds ?\nOptions: a. 7, b. 8, c. 9, d. 10, e. 11", "output": [ "d" ] }, { "id": "task1678-233858d836fb43f4ab87400e7bfe2a47", "input": "Problem: a and b invests rs. 8000 and rs. 12000 in a business. after 4 months, a withdraws half of his capital and 2 months later, b withdraws one - third of his capital. in what ratio should they share the profits at the end of the year ?\nOptions: a. 32: 99, b. 82: 31, c. 8: 15, d. 34: 89, e. 35: 21", "output": [ "c" ] }, { "id": "task1678-90146fa536dd48308e9f30048da8940f", "input": "Problem: the height of the wall is 6 times its width and length of the wall is 7 times its height. if the volume of the wall be 86436 cu. m. its width is\nOptions: a. 4 m, b. 5 m, c. 6 m, d. 7 m, e. 8 m", "output": [ "d" ] }, { "id": "task1678-3f4edac1426a4572a24842d0da0b118f", "input": "Problem: money invested at x %, compounded annually, triples in value in approximately every 112 / x years. if $ 2000 is invested at a rate of 8 %, compounded annually, what will be its approximate worth in 28 years ?\nOptions: a. $ 3,750, b. $ 5,600, c. $ 8,100, d. $ 18,000, e. $ 22,500", "output": [ "d" ] }, { "id": "task1678-720fff66a67449d0b48480d81a85c5f8", "input": "Problem: a man buys rs. 44 shares paying 9 % dividend. the man wants to have an interest of 12 % on his money. the market value of each share is :\nOptions: a. s. 12, b. s. 15, c. s. 18, d. s. 21, e. s. 33", "output": [ "e" ] }, { "id": "task1678-e5ede3c193bf44609076ad5e11feb9ab", "input": "Problem: water is leaking out from a cylinder container at the rate of 0.31 m ^ 3 per minute. after 10 minutes, the water level decreases 1 / 16 meters. what is value of the radius in meters ?\nOptions: a. 1 / 4, b. 2, c. 4, d. 8, e. 12", "output": [ "c" ] }, { "id": "task1678-71edba1e1eb24d27a049bbc9b389909d", "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": "task1678-6aac7c3c944343ba8ee69214db6c73ff", "input": "Problem: how many different ways can 2 students be seated in a row of 5 desks, so that there is always at least one empty desk between the students ?\nOptions: a. 2, b. 3, c. 4, d. 6, e. 12", "output": [ "e" ] }, { "id": "task1678-c5e320abf66d47248320c04980f60788", "input": "Problem: he average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 70 kg. what might be the weight of the new person ?\nOptions: a. 90 kg, b. 55 kg, c. 45 kg, d. 85 kg, e. 25 kg", "output": [ "a" ] }, { "id": "task1678-eaba749027d34579b6aa6512cb8e535e", "input": "Problem: if the function q is defined by the formula q = 5 w / ( 4 h ( z ^ 2 ) ), by what factor will q be multiplied if w is quadrupled, h is doubled, and z is tripled ?\nOptions: a. 1 / 9, b. 2 / 9, c. 4 / 9, d. 3 / 9, e. 2 / 27", "output": [ "b" ] }, { "id": "task1678-20c248aa90d949568a989a3d3f8622a2", "input": "Problem: ( 856942 x 555 ) = ?\nOptions: a. 484638125, b. 474638130, c. 474638135, d. 475602810, e. 484638145", "output": [ "d" ] }, { "id": "task1678-8be06297d69844238de4509553563810", "input": "Problem: the radius of a wheel is 20.4 cm. what is the distance covered by the wheel in making 400 resolutions ?\nOptions: a. 512.448 m, b. 704 m, c. 510.448 m, d. 706 m, e. 204 m", "output": [ "a" ] }, { "id": "task1678-ac81a2cf79da4b1e8f6d1e8dffd83523", "input": "Problem: a, b, c and d enter into partnership. a subscribes 1 / 3 of the capital b 1 / 4, c 1 / 5 and d the rest. how much share did c get in a profit of rs. 2490 ?\nOptions: a. s. 332, b. s. 498, c. s. 822, d. s. 812, e. s. 810", "output": [ "b" ] }, { "id": "task1678-9c9d846bdbe64bfabdd8ede7b6847a3e", "input": "Problem: a particular store purchased a stock of turtleneck sweaters and marked up its cost by 20 %. during the new year season, it further marked up its prices by 25 % of the original retail price. in february, the store then offered a discount of 20 %. what was its profit on the items sold in february ?\nOptions: a. 20 %, b. 30 %, c. 35 %, d. 37.5 %, e. 40 %", "output": [ "a" ] }, { "id": "task1678-c68756b15e2b4441a7cbed4bd727c177", "input": "Problem: if the cost price of 50 articles is equal to the selling price of 20 articles, then the gain or loss percent is ?\nOptions: a. 16, b. 127, c. 12, d. 18, e. 150", "output": [ "e" ] }, { "id": "task1678-a0deb291f9fc4c23a8404d352a4fd666", "input": "Problem: what is rate of interest if principal. amount be 400, simple interest 160 and time 2 year.\nOptions: a. 10, b. 12.5, c. 20, d. 12, e. 14.5", "output": [ "c" ] }, { "id": "task1678-05c4934fc4ac457bbabce3174d9d69ea", "input": "Problem: on her annual road trip to visit her family in seal beach, california, traci stopped to rest after she traveled 1 ⁄ 2 of the total distance and again after she traveled 1 ⁄ 4 of the distance remaining between her first stop and her destination. she then drove the remaining 200 miles and arrived safely at her destination. what was the total distance, in miles, from traci ’ s starting point to seal beach ?\nOptions: a. 250, b. 300, c. 800, d. 400, e. 550", "output": [ "c" ] }, { "id": "task1678-deebbc0c7eb14ab0965578e08c790039", "input": "Problem: the radius of a sphere is increased by 50 %. the increase in surface area of the sphere is :\nOptions: a. 168, b. 125, c. 186, d. 197, e. 191", "output": [ "b" ] }, { "id": "task1678-907439a75b6d4007b39e9dfb373758f0", "input": "Problem: a man can row 4 kmph in still water. when the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. what is the total distance traveled by the man ?\nOptions: a. 5.98, b. 3.98, c. 3.54, d. 3.87, e. 3.82", "output": [ "c" ] }, { "id": "task1678-cd90c4a2a9354725b201a73225396700", "input": "Problem: in a certain game, each player scores either 2 points or 5 points. if n players score 2 points and m players score 5 points, and the total number of points scored is 50, what is the least possible positive difference w between n and m ?\nOptions: a. 1, b. 3, c. 5, d. 7, e. 9", "output": [ "b" ] }, { "id": "task1678-6c67c4ef3b4941f5977abeaf515eb13b", "input": "Problem: h is a positive integer and 225 and 216 are both divisors of h. if h = ( 2 ^ a. * ( 3 ^ b. * ( 5 ^ c., where a, b and c are positive integers, what is the least possible value of a + b + c ?\nOptions: a. 4, b. 8, c. 6, d. 7, e. 5", "output": [ "b" ] }, { "id": "task1678-9b86a6265c204fb48fba11684c3ccfc0", "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": "task1678-a65eb4e1c07a4d978693aa79265426e3", "input": "Problem: the average age of 25 students in a class is 12 years. 15 students whose average age is 10 years joined them. what is the present average age.\nOptions: a. 13, b. 12.6, c. 11.25, d. 12, e. 13", "output": [ "c" ] }, { "id": "task1678-b004b88f00f049b88f208c238a20e622", "input": "Problem: ? x 12 = 173 x 240\nOptions: a. 3460, b. 685, c. 865, d. 495, e. 534", "output": [ "a" ] }, { "id": "task1678-2d6ffcd755d74bccb80e606f4b0be877", "input": "Problem: a man goes to shopkeeper and says that if u give me as much as i have, i will spend rs. 10 / - on ur shop. shopkeeper agrees and man moves to another shopkeeper ans asked same. at 3 rd shop after all the transaction, he was left with no money. find the initial amount with the man\nOptions: a. 5.75, b. 6.75, c. 7.75, d. 8.75, e. 9.75", "output": [ "d" ] }, { "id": "task1678-87570fb9b0544e359b0a3d65340f60cc", "input": "Problem: what is the average ( arithmetic mean ) of the numbers 15, 16, 17, 17, 18, and 19 ?\nOptions: a. 14.2, b. 16.5, c. 17, d. 17.5, e. 18", "output": [ "c" ] }, { "id": "task1678-6406d4714e754e159a5cb29354c50c10", "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": "task1678-3a2eab5cb33d472394f4f28746eeb014", "input": "Problem: two trains of length 180 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. in what time will they be clear of each other from the moment they meet ?\nOptions: a. 22 sec, b. 23 sec, c. 76 sec, d. 20 sec, e. 66 sec", "output": [ "b" ] }, { "id": "task1678-1ba38d7bc8ad4e6d87941118210e852d", "input": "Problem: a train running at the speed of 60 km / hr crosses a pole in 7 sec. what is the length of the train ?\nOptions: a. 112.21, b. 27.21, c. 117.66, d. 277, e. 116.66", "output": [ "e" ] }, { "id": "task1678-1d6f9637ad08402cb04e0fc78bc79eb5", "input": "Problem: sand is poured into a box so that the box is being filled at the rate of 4 cubic feet per hour. if the empty rectangular box is 7 feet long, 6 feet wide, and 2 feet deep, approximately how many hours does it take to fill the box ?\nOptions: ['a. 20', 'b. 21', 'c. 22', 'd. 23', 'e. 24']", "output": [ "b" ] }, { "id": "task1678-a8ad8dd1a01f41b6909276e1ad1c87b9", "input": "Problem: a train 150 m long passes a man, running at 5 km / hr in the same direction in which the train is going, in 10 seconds. the speed of the train is :\nOptions: a. 22, b. 50, c. 99, d. 288, e. 59", "output": [ "e" ] }, { "id": "task1678-40eb7cf042e3400ebd8874d8dbd22064", "input": "Problem: last year a worker saved 4 % of her annual salary. this year, she made 10 % more money than last year and she saved 5 % of her salary. the amount she saved this year was what percent of the amount she saved last year ?\nOptions: a. 137.5 %, b. 142.5 %, c. 147.5 %, d. 152.5 %, e. 157.5 %", "output": [ "a" ] }, { "id": "task1678-e1f38720fb124f4a86f2650c9f87bf9d", "input": "Problem: two trains 111 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 40 km and the other at the rate of 50 kmph. in what time will they be completely clear of each other from the moment they meet ?\nOptions: a. 11.04, b. 10.0, c. 6.85, d. 5.85, e. 6.15", "output": [ "a" ] }, { "id": "task1678-755b4af6220d4f81b91fa597b7f338be", "input": "Problem: a corporation paid $ 10 million in federal taxes on its first $ 50 million of gross profits and then $ 30 million in federal taxes on the next $ 150 million in gross profits. by approximately what percent did the ratio of federal taxes to gross profits increase from the first $ 50 million in profits to the next $ 150 million in profits ?\nOptions: a. 0 %, b. 14 %, c. 20 %, d. 23 %, e. 43 %", "output": [ "a" ] }, { "id": "task1678-76fdf015d94247b59d0f84f37e5dc287", "input": "Problem: a and b walk around a circular track. they start at 8 a. m from the same point in the opposite directions. a and b walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. how many times shall they cross each other before 9 a. m\nOptions: a. 5, b. 6, c. 7, d. 8, e. 9", "output": [ "a" ] }, { "id": "task1678-96927b913bad46a9b060a097de7362c8", "input": "Problem: the product x of two prime numbers is between 17 and 100. if one of the prime numbers is greater than 2 but less than 6 and the other is greater than 13 but less than 25, then x =\nOptions: a. 18, b. 29, c. 37, d. 44, e. 95", "output": [ "e" ] }, { "id": "task1678-04c4cfe87b2747afa196f1ce5c191bf3", "input": "Problem: 10 men and 15 women together can complete a work in 6 days. it takes 100 days for one man alone to complete the same work. how many days will be required for one woman alone to complete the same work ?\nOptions: a. 127 days, b. 667 days, c. 177 days, d. 187 days, e. 225 days", "output": [ "e" ] }, { "id": "task1678-03f641927eda40f8899774e806538c51", "input": "Problem: in a basket of apples, 12 % of them are rotten and 66 are in good condition. find the total number of apples in the basket.\nOptions: a. 33, b. 75, c. 23, d. 20, e. 287", "output": [ "b" ] }, { "id": "task1678-674f6bb5977345a39f4d59ebe54b3bdf", "input": "Problem: a distributor sells a product through an on - line store, which take a commission of 20 % of the price set by the distributor. the distributor obtains the product from a producer at the price of $ 15 per item. what is the price that the buyer observers on - line if the distributor wants to maintain a 25 % profit on the cost of the item ?\nOptions: a. 18, b. 21.6, c. 22, d. 22.5, e. 24", "output": [ "e" ] }, { "id": "task1678-ab7ae1338d38463880f4928bc0f63707", "input": "Problem: a piece of cloth cost rs 35. if the length of the piece would have been 4 m longer and each meter cost re 1 less, the cost would have remained unchanged. how long is the piece ?\nOptions: a. 5 mtrs, b. 10 mtrs, c. 12 mtrs, d. 15 mtrs, e. 18 mtrs", "output": [ "b" ] }, { "id": "task1678-ed96ee37fb4a4971be2353b1bf5a201c", "input": "Problem: what is the average of 4 tenths and 5 thousandths ?\nOptions: a. 0.2022, b. 0.2012, c. 0.2025, d. 0.2021, e. 0.2029", "output": [ "c" ] }, { "id": "task1678-d8b68700eb4b48d1b7ba0d8ff2d26ed0", "input": "Problem: the average weight of a, b and c is 43 kg. if the average weight of a and b be 48 kg and that of b and c be 42 kg, then the weight of b is :\nOptions: a. 55 kg, b. 53 kg, c. 49 kg, d. 52 kg, e. 51 kg", "output": [ "e" ] }, { "id": "task1678-8b00b4a417344713962466f1da2344cc", "input": "Problem: pipe p can fill a tank in 3 hours, pipe q in 9 hours and pipe r in 18 hours. if all the pipes are open, in how many hours will the tank be filled ?\nOptions: a. 2 hours, b. 2.4 hours, c. 3 hours, d. 3.5 hours, e. 4.5 hours", "output": [ "a" ] }, { "id": "task1678-fea2685cf7f344cdae34c419ef4e6638", "input": "Problem: if the population of a certain country increases at the rate of one person every 15 seconds, by how many persons does the population increase in 25 minutes ?\nOptions: a. 80, b. 100, c. 150, d. 240, e. 300", "output": [ "b" ] }, { "id": "task1678-f6bbf75aff8d4d4d9c3801265c6a6d60", "input": "Problem: a monkey ascends a greased pole 10 meters high. he ascends 2 meters in the first minute and then slips down 1 meter in the alternate minute. if this pattern continues until he climbs the pole, in how many minutes would he reach at the top of the pole ?\nOptions: a. 10 th minute, b. 21 st minute, c. 17 th minute, d. 22 nd minute, e. 13 th minute", "output": [ "c" ] }, { "id": "task1678-9a2f3a35bb3d4c059e2ebff5ed6f0fe0", "input": "Problem: the number 35 is equal to the sum of the cubes of two integers. what is the product of those integers ?\nOptions: a. 6, b. 15, c. 21, d. 27, e. 39", "output": [ "a" ] }, { "id": "task1678-2fa1ed8a162345898a6f5bc332d943a9", "input": "Problem: fox jeans regularly sell for $ 15 a pair and pony jeans regularly sell for $ 18 a pair. during a sale these regular unit prices are discounted at different rates so that a total of $ 9 is saved by purchasing 5 pairs of jeans: 3 pairs of fox jeans and 2 pairs of pony jeans. if the sum of the two discounts rates is 22 percent, what is the discount rate on pony jeans ?\nOptions: a. 9 %, b. 10 %, c. 11 %, d. 12 %, e. 13 %", "output": [ "b" ] }, { "id": "task1678-ef6d16d42357433aa7dee3e322cd6dde", "input": "Problem: two pipes a and b can separately fill a tank in 12 and 15 minutes respectively. a third pipe c can drain off 42 liters of water per minute. if all the pipes are opened, the tank can be filled in 15 minutes. what is the capacity of the tank ?\nOptions: a. 542, b. 504, c. 548, d. 829, e. 279", "output": [ "b" ] }, { "id": "task1678-f7a61cd33cc749b39d34c3864e8abbbc", "input": "Problem: if i walk at 4 km / h, i miss the bus by 10 minutes. if i walk at 5 km / h, i reach 5 minutes before the arrival of the bus. how far i walk to reach the bus stand ?\nOptions: a. 5 km, b. 4.5 km, c. 5 1 ⁄ 4 km / h, d. can not be determined, e. none of these", "output": [ "a" ] }, { "id": "task1678-551788d3112b41519b1a096a56a063b6", "input": "Problem: a jogger running at 9 kmph along side a railway track is 260 metres ahead of the engine of a 120 metre long train running at 45 kmph in the same direction. in how much time will the train pass the jogger ?\nOptions: a. 3.6 sec, b. 38 sec, c. 36 sec, d. 72 sec, e. none of these", "output": [ "b" ] }, { "id": "task1678-eaefa2dcf2a248ec8b4f5103fd2a4ba7", "input": "Problem: mr. evans will states that each of his children will receive an equal share of his estate and that his grandchildren will split a portion of the estate that is equal to the share received by each of his children. if mr. evans has 2 children and 6 grandchildren, then approximately what percentage of mr. evans estate will each grandchild receive ?\nOptions: a. 20 %, b. 17 %, c. 5.5 %, d. 3.3 %, e. 2.8 %", "output": [ "c" ] }, { "id": "task1678-221b2df0e1cc4b0992da8f80e3923e19", "input": "Problem: find the quotient when total no. of divisors of 16 ! is divided by right most non - zero digit of 15 !\nOptions: a. 672, b. 682, c. 692, d. 745, e. 845", "output": [ "a" ] }, { "id": "task1678-23db691d1e4449419a590c5fe43198c9", "input": "Problem: if the wheel is 14 cm then the number of revolutions to cover a distance of 1408 cm is ?\nOptions: a. a. 16, b. b. 10, c. c. 14, d. d. 12, e. e. 11", "output": [ "a" ] }, { "id": "task1678-6ccda299a7d4475897104b7d41324e76", "input": "Problem: calculate the area of a triangle, if the sides of are 65 cm, 60 cm and 25 cm, what is its area ?\nOptions: a. 850 cm 2, b. 750 cm 2, c. 450 cm 2, d. 550 cm 2, e. 650 cm 2", "output": [ "b" ] }, { "id": "task1678-d01116fa8c4f4cdfb5c8a31aea3a3042", "input": "Problem: if an object travels at 9 feet per second, how many feet does it travel in one hour ?\nOptions: a. 32400, b. 30000, c. 32000, d. 1800, e. 22000", "output": [ "a" ] }, { "id": "task1678-5a20e75743a84d8aacf13f0fed70cc53", "input": "Problem: the admission charge in a water park is $ 1 by adult and $ 0.75 by child accompanying an adult. how much was there of child with an adult who paid in quite $ 3.25 to have access to the water park ?\nOptions: a. 1, b. 2, c. 3, d. 4, e. 5", "output": [ "c" ] }, { "id": "task1678-76a380663b8a4b38bb748decf0f29fe9", "input": "Problem: mr. evans will states that each of his children will receive an equal share of his estate and that his grandchildren will split a portion of the estate that is equal to the share received by each of his children. if mr. evans has 3 children and 5 grandchildren, then approximately what percentage of mr. evans estate will each grandchild receive ?\nOptions: a. 20 %, b. 17 %, c. 5.0 %, d. 3.3 %, e. 2.8 %", "output": [ "c" ] }, { "id": "task1678-c915920305d54eb28bfe9c621ce2026b", "input": "Problem: the l. c. m of two numbers is 495 and their h. c. f is 5. if the sum of the numbers is 100, then their difference is\nOptions: a. 19, b. 10, c. 28, d. 27, e. 29", "output": [ "b" ] }, { "id": "task1678-30c9a16360b1469bb50bfb7fecc8986f", "input": "Problem: what is the sum of the greatest common factor and the lowest common multiple of 48 and 72\nOptions: a. 126, b. 184, c. 168, d. 154, e. 186", "output": [ "c" ] }, { "id": "task1678-dec7ad31b936432ea8809c8134881774", "input": "Problem: the area of a square is 4225 sq cm. find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square.\nOptions: a. 5: 28, b. 5: 19, c. 5: 12, d. 5: 13, e. 41: 130", "output": [ "e" ] }, { "id": "task1678-52e04503ab6344a6b8de0f2670b901e4", "input": "Problem: jisha walked for 3 days. she walked 18 miles on the first day, walking 3 miles per hour. on the second day she walked for one less hour but she walked one mile per hour, faster than on the first day. on the third day she walked the same number of hours as on the first day, but at the same speed as on the second day. how many miles in total did she walk ?\nOptions: a. 24, b. 44, c. 58, d. 60, e. 62", "output": [ "e" ] }, { "id": "task1678-e4e35e56b24a4b7eb86bb6edd856992c", "input": "Problem: the spherical ball of lead 3 cm in diameter is melted and recast into 3 spherical balls. the diameters of two of these are 1 1 / 2 cm and 2 cm respectively. the diameter of third ball is ?\nOptions: a. 2.8, b. 2.5, c. 2.2, d. 2.0, e. 2.1", "output": [ "b" ] }, { "id": "task1678-68d67a6d44344985a39c3097cd2ee2b8", "input": "Problem: thirty percent of the members of a swim club have passed the lifesaving test. among the members who have not passed the test, 21 have taken the preparatory course and 42 have not taken the course. how many members are there in the swim club ?\nOptions: a. 40, b. 60, c. 80, d. 90, e. 140", "output": [ "d" ] }, { "id": "task1678-0c1eb377792d4646905a1efed9492b5a", "input": "Problem: ravi purchased a refrigerator and a mobile phone for rs. 15000 and rs. 8000 respectively. he sold the refrigerator at a loss of 2 percent and the mobile phone at a profit of 10 percent. overall he make a.\nOptions: a. 228, b. 288, c. 500, d. 200, e. 881", "output": [ "c" ] }, { "id": "task1678-5723b746cddf492e93b4aafcbf16ed68", "input": "Problem: on a map the distance between two mountains is 312 inches. the actual distance between the mountains is 136 km. ram is camped at a location that on the map is 28 inch from the base of the mountain. how many km is he from the base of the mountain ?\nOptions: a. 14.83, b. 12.2, c. 14.8, d. 14.82, e. 14.12", "output": [ "b" ] }, { "id": "task1678-74d8f1673e8641d599152aca209c2404", "input": "Problem: positive integer y is 50 percent of 25 percent of positive integer x, and y percent of x equals 100. what is the value of y ?\nOptions: a. 50, b. 125, c. 200, d. 1,000, e. 2,000", "output": [ "b" ] }, { "id": "task1678-5a6c0fa7f4a14621a20876a3418200bc", "input": "Problem: in simple interest what sum amounts of rs. 1120 / - in 4 years and rs. 1200 / - in 5 years ?\nOptions: a. rs. 500, b. rs. 600, c. rs. 800, d. rs. 900, e. rs. 700", "output": [ "c" ] }, { "id": "task1678-1d63c3c1a2924d2daf4f5ff5462eb676", "input": "Problem: if 9 a - b = 10 b + 50 = - 12 b - 2 a, what is the value of 11 a + 11 b ?\nOptions: a. - 4, b. - 2, c. 0, d. 2, e. 4", "output": [ "c" ] }, { "id": "task1678-ce332cc4a49448d89a806b69f715b7d7", "input": "Problem: the current of a stream runs at the rate of 4 kmph. a boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water ?\nOptions: a. 5, b. 6, c. 8, d. 4, e. 1", "output": [ "c" ] }, { "id": "task1678-3c8e62dd8b1f4ae0ac0521c0e5153293", "input": "Problem: cathy and jim begin running at the same time and they start at the same place on a straight path. cathy runs at 10 miles per hour, and jim runs at 6 miles per hour. after 18 minutes, cathy stops to stretch. if it takes cathy 27 minutes to stretch and jim continues to run during this time, how many minutes will it take cathy to catch up to jim ?\nOptions: a. 20.5, b. 21.5, c. 22.5, d. 23.5, e. 24.5", "output": [ "c" ] }, { "id": "task1678-36bb32bb5216456b86ecddaa083ab910", "input": "Problem: the speed of a car is 65 km in the first hour and 45 km in the second hour. what is the average speed of the car ?\nOptions: a. 72 kmph, b. 55 kmph, c. 50 kmph, d. 80 kmph, e. 82 kmph", "output": [ "b" ] }, { "id": "task1678-5dc2dafc05cd4bc490ca50cd05012a3b", "input": "Problem: set x consists of all two - digit primes and set y consists of all positive multiples of 4 less than 100. if the two sets are combined into one, what will be the range of the new set ?\nOptions: a. 84, b. 93, c. 90, d. 92, e. 95", "output": [ "b" ] }, { "id": "task1678-cbebb4a9c1504a0484b783f4e362a3c9", "input": "Problem: car z travels 50 miles per gallon of gasoline when driven at a constant rate of 45 miles per hour, but travels 20 percent fewer miles per gallon of gasoline when driven at a constant rate of 60 miles per hour. how many miles does car z travel on 10 gallons of gasoline when driven at a constant rate of 60 miles per hour ?\nOptions: a. 320, b. 375.2, c. 400, d. 408.3, e. 440", "output": [ "c" ] }, { "id": "task1678-e34b380ab6fa4741af2e77ffe871ce46", "input": "Problem: 30 % of employees are women with fair hair. 40 % of fair - haired employees are women. what percent of employees have fair hair ?\nOptions: a. 25, b. 30, c. 50, d. 55, e. 75", "output": [ "e" ] }, { "id": "task1678-fb83c4bea63244caadd874c4abf0a5d8", "input": "Problem: the mean daily profit made by a shopkeeper in a month of 30 days was rs. 350. if the mean profit for the first fifteen days was rs. 255, then the mean profit for the last 15 days would be\nOptions: a. rs. 200, b. rs. 445, c. rs. 275, d. rs. 425, e. none of these", "output": [ "b" ] }, { "id": "task1678-313ccde352ac4e6a9f26e49880a94791", "input": "Problem: a rectangle the length of which is 8 inches and the width of which is 6 inches is made up 48 1 inch by 1 inch squares. through how many of the squares does a diagonal of the rectangle pass ?\nOptions: ['a. 6', 'b. 8', 'c. 10', 'd. 12', 'e. 16']", "output": [ "d" ] }, { "id": "task1678-428b8370de3347b7a2cf0bd2d159a7b4", "input": "Problem: if x + y = 3 and x 2 y 3 + y 2 x 3 = 27, what is the value of xy ?\nOptions: a. 1, b. 2, c. 3, d. 4, e. 5", "output": [ "c" ] }, { "id": "task1678-75f17bdd488e466493e570e77f130b72", "input": "Problem: the balance of a trader weighs 10 % less than it should. still the trader marks up his goods to get an overall profit of 20 %. what is the mark up on the cost price ?\nOptions: a. 40 %, b. 8 %, c. 25 %, d. 16.66 %, e. 9 %", "output": [ "b" ] }, { "id": "task1678-d42c3013c4d94088a9ac5747e37eb012", "input": "Problem: water is leaking out from a cylinder container at the rate of 0.31 m ^ 3 per minute. after 10 minutes, the water level decreases 16 meters. what is value of the radius in meters ?\nOptions: a. 1 / 2, b. 1 / 3, c. 1 / 4, d. 1 / 6, e. 1 / 8", "output": [ "c" ] }, { "id": "task1678-87224ab051d24900a8b32964eff7fd4a", "input": "Problem: working together, wayne and his son can shovel the entire driveway in three hours. if wayne can shovel six times as fast as his son can, how many hours would it take for his son to shovel the entire driveway on his own ?\nOptions: a. 4, b. 6, c. 8, d. 7, e. 12", "output": [ "d" ] }, { "id": "task1678-3718497d42494c6c8b35277fed63a73c", "input": "Problem: a 600 meter long train crosses a signal post in 40 seconds. how long will it take to cross a 7.2 kilometer long bridge, at the same speed ?\nOptions: a. 4 min, b. 2 min, c. 8 min, d. 9 min, e. 3 min", "output": [ "c" ] }, { "id": "task1678-7183f75e7f394a5fb0bfd9096efad0e1", "input": "Problem: a bag contains 6 black and 7 white balls. one ball is drawn at random. what is the probability that the ball drawn is white ?\nOptions: a. 4, b. 4 / 3, c. 4 / 5, d. 4 / 9, e. 7 / 13", "output": [ "e" ] }, { "id": "task1678-9dcdf012a45c4c1cb0c5ff424c7ec28c", "input": "Problem: a car traveling at a certain constant speed takes 2 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 100 kilometers per hour. at what speed, in kilometers per hour, is the car traveling ?\nOptions: a. 71.5, b. 72, c. 72.5, d. 73, e. 94.7", "output": [ "e" ] }, { "id": "task1678-73b21a28cb4142ddb99b3fede2ae47d7", "input": "Problem: how many multiples of 4 are there between 4 and 64 ?\nOptions: a. 12, b. 64, c. 14, d. 16, e. 60", "output": [ "c" ] }, { "id": "task1678-819e1be36ce9415c9de68f9f87517320", "input": "Problem: points a, b, c, and d, in that order, lie on a line. if ab = 3 cm, ac = 4 cm, and bd = 8 cm, what is cd, in centimeters ?\nOptions: a. 7, b. 2, c. 3, d. 4, e. 5", "output": [ "a" ] }, { "id": "task1678-e2a8b3d818514bb9a7f40543992ad7e8", "input": "Problem: a can do a piece of work in 5 hours; b and c together can do it in 3 hours, while a and c together can do it in 2 hours. how long will b alone take to do it ?\nOptions: a. 30, b. 20, c. 10, d. 6, e. 5", "output": [ "a" ] }, { "id": "task1678-a5e04d5d12874c5393c53891b9b835c0", "input": "Problem: there is a 10 % chance that tigers will not win at all during the whole season. there is a 20 % chance that federer will not play at all in the whole season. what is the greatest possible probability that the tigers will win and federer will play during the season ?\nOptions: a. 55 %, b. 60 %, c. 70 %, d. 72 %, e. 80 %", "output": [ "e" ] }, { "id": "task1678-20253ba8329947a7a917ab248defd21f", "input": "Problem: lally ' s internet provider offers unlimited traffic which costs $ 0.5 per day charged off at 12 a. m. the service is discontinued when client ' s debt exceeds $ 5. if today in the morning lally makes a payment of $ 7, for how many days, including today, will she be connected to the internet without any additional payments, given her initial balance was $ 0 ?\nOptions: a. 15, b. 24, c. 25, d. 26, e. 13", "output": [ "c" ] }, { "id": "task1678-be2316cd1d8e41348a8c728f21d5cfc5", "input": "Problem: a retailer bought a machine at a wholesale price of $ 108 and later on sold it after a 10 % discount of the retail price. if the retailer made a profit equivalent to 20 % of the whole price, what is the retail price of the machine ?\nOptions: a. 81, b. 100, c. 120, d. 135, e. 144", "output": [ "e" ] }, { "id": "task1678-d89831c3966641b6a5910e4d3461975e", "input": "Problem: if n is the smallest integer such that 72 times n is the square of an integer, what is the value of n ?\nOptions: a. 2, b. 3, c. 6, d. 12, e. 24", "output": [ "a" ] }, { "id": "task1678-4ec35e8ba4da447e8374e2db576c11a1", "input": "Problem: in one day, juan sends keith 8 times as many messages as he sends laurence, and laurence sends missy 4.5 times as many messages as he receives from juan. if missy received 18 messages from laurence, how many messages does keith receive from juan ?\nOptions: a. 13, b. 26, c. 32, d. 48, e. 56", "output": [ "c" ] }, { "id": "task1678-c98780d0234e451aa4b3a14abbf3af7d", "input": "Problem: the area of a triangle will be when a = 1 m, b = 2 m, c = 3 m, a, b, c being lengths of respective sides.\nOptions: ['a. 0 sq m', 'b. 7 sq m', 'c. 2 sq m', 'd. 3 sq m', 'e. 6 sq m']", "output": [ "a" ] }, { "id": "task1678-46c4c0d9203f4070aa0ad0fa98bfe6db", "input": "Problem: edward earns $ 7.00 per hour for the first 40 hours he works per week, and twice this rate for overtime. if michael earned $ 210 last week, how many hours did he work ?\nOptions: a. 43, b. 44, c. 45, d. 46, e. 47", "output": [ "c" ] }, { "id": "task1678-9e55b1b5c187454d83ed2ec755448f6c", "input": "Problem: i bought two books; for rs. 470. i sold one at a loss of 15 % and other at a gain of 19 % and then i found each book was sold at the same price. find the cost of the book sold at a loss ?\nOptions: a. 274.17, b. 280.17, c. 299.17, d. 266.17, e. 279.17", "output": [ "a" ] }, { "id": "task1678-44d882fbcc6944d480fbfba9218a25cf", "input": "Problem: 18 women can complete a work in 7 days and 10 children take 14 days to complete the work. how many days will 5 women and 10 children take to complete the work ?\nOptions: a. 8 days, b. 6 days, c. 7 days, d. 9 days, e. 1 days", "output": [ "d" ] }, { "id": "task1678-21e6082888ab4a00852d4f8eadb5ce12", "input": "Problem: when positive integer x is divided by positive integer y, the remainder is 9. if x / y = 96.45, what is the value of y ?\nOptions: a. 96, b. 75, c. 48, d. 20, e. 12", "output": [ "d" ] }, { "id": "task1678-dfdef23935d54416b8d1bb666f1ab3dd", "input": "Problem: an employee ’ s annual salary was increased $ 5000. if her new annual salary now equals $ 25000 what was the percent increase ?\nOptions: a. 15 %, b. 80 %, c. 20 %, d. 22 %, e. 24 %", "output": [ "b" ] }, { "id": "task1678-ac81ce39be25424690e95068e09aee28", "input": "Problem: it takes avery 3 hours to build a brick wall while tom can do it in 4 hours. if the two start working together and after an hour avery leaves, how much time will it take tom to complete the wall on his own ?\nOptions: a. 25 minutes., b. 55 minutes., c. 1 hour and 41 minutes, d. 1 hour and 35 minutes, e. 1 hour and 20 minutes", "output": [ "c" ] }, { "id": "task1678-da6474ac40194b75af904638ab9e36e8", "input": "Problem: of the 200 employees in a certain company, 30 percent will be relocated to city x and the remaining 70 percent will be relocated to city y. however, 40 percent of the employees prefer city y and 60 percent prefer city x. what is the highest possible number of employees who will be relocated to the city they prefer ?\nOptions: a. 115, b. 120, c. 140, d. 152, e. 165", "output": [ "c" ] }, { "id": "task1678-58eca1948bc44c06be29d5aaf3abc926", "input": "Problem: the arithmetic mean and standard deviation of a certain normal distribution are 14.5 and 1.7, respectively. what value is exactly 2 standard deviations less than the mean ?\nOptions: a. 10.5, b. 11, c. 11.1, d. 12, e. 12.5", "output": [ "c" ] }, { "id": "task1678-c6c4c08e2e494f52b75a0c8b08b48a21", "input": "Problem: divide rs. 1700 among a, b and c so that a receives 1 / 3 as much as b and c together and b receives 2 / 3 as a and c together. a ' s share is ?\nOptions: a. 346, b. 425, c. 375, d. 337, e. 639", "output": [ "b" ] }, { "id": "task1678-0b12c8ee05bd43a2b3e4e02ba20244d8", "input": "Problem: the sector of a circle has radius of 24 cm and central angle 135 o. find its perimeter ?\nOptions: a. 91.5 cm, b. 11.5 cm, c. 104.6 cm, d. 92.5 cm, e. 99.5 cm", "output": [ "c" ] }, { "id": "task1678-8ae2b8296cb24db98a8499b5dd288162", "input": "Problem: what is the x - intercept of a line that passes through the point ( 3, 4 ) and has a slope of 2 ?\nOptions: a. - 2, b. - 1, c. 0, d. 1, e. 2", "output": [ "d" ] }, { "id": "task1678-c3f7ce9a41db4fd092116173b2f60d18", "input": "Problem: raja spends 35 % of his monthly income on household items, 20 % of his monthly income on buying cloths, 5 % of his monthly income on medicines and saves the remaining amount which is rs. 15000. find his monthly income.\nOptions: a. rs. 40000, b. rs. 36000, c. rs. 37500, d. rs. 45000, e. none of these", "output": [ "c" ] }, { "id": "task1678-2299c24c19d14845a97a3e47b7a30059", "input": "Problem: what least number should be subtracted from 13600 such that the remainder is divisible by 87 ?\nOptions: a. 27, b. 29, c. 28, d. 30, e. 31", "output": [ "c" ] }, { "id": "task1678-8e4edbfbae8642738cdf738d4c361030", "input": "Problem: four bells commence tolling together and toll at intervals of 2, 4, 6, 8 seconds respectively. in 18 minutes, how many times do they toll together ?\nOptions: a. 43, b. 44, c. 45, d. 46, e. 47", "output": [ "c" ] }, { "id": "task1678-22a2b66a7e91482ebf183ed866d67ddb", "input": "Problem: what percent of 150 is 40 ?\nOptions: a. 0.25 %, b. 26.67 %, c. 25 %, d. 40 %, e. 250 %", "output": [ "b" ] }, { "id": "task1678-2f30646d388d4fa9ad3bcd029c2f68a2", "input": "Problem: list k consists of 12 consecutive integers. if - 5 is the least integer in list k, what is the range of the positive integers in list k ?\nOptions: a. 5, b. 6, c. 7, d. 11, e. 12", "output": [ "a" ] }, { "id": "task1678-c55c41de7c39445f843256362f50f700", "input": "Problem: a dishonest dealer professes to sell goods at the cost price but uses a weight of 920 grams per kg, what is his percent ?\nOptions: a. 22 %, b. 25 %, c. 77 %, d. 99 %, e. 8.7 %", "output": [ "e" ] }, { "id": "task1678-baf9ba3406694e0bbeecbb34cd6d4db0", "input": "Problem: a man cheats while buying as well as while selling. while buying he takes 10 % more than what he pays for and while selling he gives 20 % less than what he claims to. find the profit percent, if he sells at 10 % below the cost price of the claimed weight.\nOptions: a. 19.81 %, b. 20 %, c. 37.5 %, d. 23.75 %, e. 37.5 %", "output": [ "d" ] }, { "id": "task1678-d4d5cca06be84c48a8edc2db858f1601", "input": "Problem: a case contains c cartons. each carton contains b boxes, and each box contains 600 paper clips. how many paper clips are contained in 2 cases ?\nOptions: a. 600 bc, b. 600 b / c, c. 1200 bc, d. 1200 b / c, e. 1200 / bc", "output": [ "c" ] }, { "id": "task1678-44a64293b39e4be98f695afda597d403", "input": "Problem: an army ’ s recruitment process included n rounds of selection tasks. for the first a rounds, the rejection percentage was 60 percent per round. for the next b rounds, the rejection percentage was 50 percent per round and for the remaining rounds, the selection percentage was 70 percent per round. if there were 10000 people who applied for the army and 350 were finally selected, what was the value of n ?\nOptions: a. 4, b. 5, c. 6, d. 9, e. 8", "output": [ "d" ] }, { "id": "task1678-d0a78a23ca254fd1badec5555994b087", "input": "Problem: the number 133 is equal to the sum of the cubes of two integers. what is the product of those integers ?\nOptions: a. 8, b. 15, c. 21, d. 27, e. 10", "output": [ "e" ] }, { "id": "task1678-7c7a9a0e8e07470e90c129c5ff43855f", "input": "Problem: a ladder 30 feet long is leaning against a wall that is perpendicular to level ground. the bottom of the ladder is 10 feet from the base of the wall. if the top of the ladder slips down 5 feet, how many feet will the bottom of the ladder slip ?\nOptions: a. 14, b. 15, c. 18.92, d. 19, e. 25", "output": [ "c" ] }, { "id": "task1678-cdd27657fdd64dca97907446eac433f7", "input": "Problem: if 3 workers collect 48 kg of cotton in 4 days, how many kg of cotton will 9 workers collect in 2 days ?\nOptions: a. 88 kg, b. 65 kg, c. 72 kg, d. 44 kg, e. 55 kg", "output": [ "c" ] }, { "id": "task1678-5dfd205fcf794441bc9eb848897f1139", "input": "Problem: a number divided by 34 leaves remainder 37 what is the remainder when same number divided by 9\nOptions: a. 7, b. 8, c. 9, d. 0, e. 1", "output": [ "d" ] }, { "id": "task1678-a81aee1894cd42c8aa9cfde6590d8dd9", "input": "Problem: a certain article of clothing was discounted during a special sale to 3 / 4 of its original retail price. when the clothing did n ' t sell, it was discounted even further to 1 / 3 of its original retail price during a second sale. by what percent did the price of this article of clothing decrease from the first sale to the second sale ?\nOptions: a. 50 %, b. 33.33 %, c. 25 %, d. 55.55 %, e. 12.5 %", "output": [ "d" ] }, { "id": "task1678-4828b6eacb37477bb942777d57f73fdd", "input": "Problem: what is the least number which should be added to 2597 so that the sum is exactly divisible by 5, 6, 4, and 3 ?\nOptions: a. 17, b. 23, c. 26, d. 35, e. 43", "output": [ "e" ] }, { "id": "task1678-d63bb1f65321415aa9e907def779f5bd", "input": "Problem: find the greatest number which leaves the same remainder when it divides 16, 46 and 82.\nOptions: a. 18, b. 8, c. 12, d. 16, e. none of these", "output": [ "e" ] }, { "id": "task1678-ac1897d1e48a4a5580a8ee677f5054e3", "input": "Problem: evaluate: | 8 - 8 ( 3 - 12 ) | - | 5 - 11 | = ?\nOptions: a. 40, b. 74, c. 60, d. 70, e. 80", "output": [ "b" ] }, { "id": "task1678-d1ed0f76ebc94bc990e623ce7d33d1c7", "input": "Problem: heinz produces tomato puree by boiling tomato juice. the tomato puree has only 20 % water while the tomato juice has 90 % water. how many liters of tomato puree will be obtained from 25 litres of tomato juice ?\nOptions: a. 2.8 liters., b. 3.125 liters., c. 8.5 liters., d. 2.6 liters., e. 2.1 liters.", "output": [ "b" ] }, { "id": "task1678-b70ae4d0c1c44d42a49606db2b9f71cc", "input": "Problem: triathlete dan runs along a 4 - mile stretch of river and then swims back along the same route. if dan runs at a rate of 10 miles per hour and swims at a rate of 6 miles per hour, what is his average rate for the entire trip in miles per minute ?\nOptions: a. 1 / 8, b. 2 / 15, c. 3 / 15, d. 1 / 4, e. 3 / 8", "output": [ "a" ] }, { "id": "task1678-307319dacaa640529fd2e9f3a004420a", "input": "Problem: at a small company, 58 percent of the employees are women, and 60 percent of the employees are married. if 2 / 3 of the men are single, what fraction of the women are married ?\nOptions: a. 5 / 16, b. 1 / 3, c. 23 / 29, d. 7 / 10, e. 5 / 7", "output": [ "c" ] }, { "id": "task1678-4d4e6ac26ecd4279a13f643c244e1581", "input": "Problem: if a function f is defined by f ( x ) = - 1 / x for all non zero numbers x. if f ( a. = - 1 / 3 and f ( ab. = 1 / 6 then b = ?\nOptions: a. 2, b. 1 / 2, c. - 1 / 2, d. - 2, e. - 12", "output": [ "d" ] }, { "id": "task1678-8620feabd4fa48d7815ee9f630680c87", "input": "Problem: if 10 men can reap 80 hectares in 24 days, then how many hectares can 36 men reap in 30 days ?\nOptions: a. 127, b. 237, c. 360, d. 450, e. 281", "output": [ "c" ] }, { "id": "task1678-b15af8c8bba44ecf99a2d7cb16ab3a09", "input": "Problem: a man can row a distance of 5 km in 60 min with the help of the tide. the direction of the tide reverses with the same speed. now he travels a further 20 km in 10 hours. how much time he would have saved if the direction of tide has not changed ?\nOptions: a. 2, b. 8, c. 1, d. 6, e. 5", "output": [ "d" ] }, { "id": "task1678-7074b36bfe604b41bec114690a2232a9", "input": "Problem: a certain fraction is equivalent to 2 / 5. if the numerator of the fraction is increased by 4 and the denominator is doubled, the new fraction is equivalent to 1 / 4. what is the difference of the numerator and denominator of the original fraction ?\nOptions: a. 49, b. 35, c. 28, d. 24, e. 21", "output": [ "d" ] }, { "id": "task1678-3e5c908de43845b8902d77b79327dd2f", "input": "Problem: a couple who own an appliance store discover that if they advertise a sales discount of 10 % on every item in the store, at the end of one month the number of total items sold increases 15 %. their gross income from sales for one month increases by what percent ?\nOptions: a. 1.5 %, b. 2.5 %, c. 3.5 %, d. 4.5 %, e. 5.5 %", "output": [ "c" ] }, { "id": "task1678-877eb4d811ae4fc3a8ffc356d2c54c78", "input": "Problem: if a man lost 8 % by selling oranges at the rate of 25 a rupee at how many a rupee must he sell them to gain 25 % ?\nOptions: a. 20, b. 15, c. 18.4, d. 20, e. 12.8", "output": [ "c" ] }, { "id": "task1678-fb47ca718e8344239292185c817f2c53", "input": "Problem: how many positive integers less than 100 are there such that they are multiples of 13 or multiples of 12 but not both ?\nOptions: a. 15, b. 16, c. 17, d. 18, e. 19", "output": [ "a" ] }, { "id": "task1678-b8ded152381148e6a2b932d45cd560eb", "input": "Problem: a certain experimental mathematics program was tried out in 2 classes in each of 38 elementary schools and involved 44 teachers. each of the classes had 1 teacher and each of the teachers taught at least 1, but not more than 3, of the classes. if the number of teachers who taught 3 classes is n, then the least and greatest possible values of n, respectively, are\nOptions: a. 0 and 13, b. 0 and 14, c. 0 and 16, d. 1 and 9, e. 2 and 8", "output": [ "c" ] }, { "id": "task1678-6b72876dc7924067aac11e6e0a4db13c", "input": "Problem: if y exceeds x by 20 %, then x is less than y by ?\nOptions: a. 16 2 / 8 %, b. 16 8 / 3 %, c. 16 2 / 3 %, d. 76 2 / 3 %, e. 17 2 / 3 %", "output": [ "c" ] }, { "id": "task1678-25fcebd9708343f49fc423edf73553a7", "input": "Problem: express a speed of 90 kmph in meters per second ?\nOptions: a. 10 mps, b. 76 mps, c. 26 mps, d. 97 mps, e. 25 mps", "output": [ "e" ] }, { "id": "task1678-affa7f8d39d64b99b41fa0feee663785", "input": "Problem: together, 15 type a machines and 7 type b machines can complete a certain job in 4 hours. together 8 type b machines and 15 type c machines can complete the same job in 11 hours. how many w hours would it take one type a machine, one type b machine, and one type c machine working together to complete the job ( assuming constant rates for each machine. ?\nOptions: a. 22 hours, b. 30 hours, c. 44 hours, d. 60 hours, e. it can not be determined from the information above.", "output": [ "c" ] }, { "id": "task1678-6b7d8e4382dd423c95fb9e9c7fc4a7e9", "input": "Problem: the smallest value of n, for which n + 2 is not a prime number, is\nOptions: a. 1,2, b. 4,6, c. 2,4, d. 8,12, e. 9,6", "output": [ "c" ] }, { "id": "task1678-8bb0a5685e5b44bfbf98cbaf4958d10e", "input": "Problem: a man traveled from the village to the post - office at the rate of 25 kmph and walked back at the rate of 4 kmph. if the whole journey took 5 hours 48 minutes, find the distance of the post - office from the village ?\nOptions: a. 70 m, b. 80 km, c. 20 km, d. 10 km, e. 73 km", "output": [ "c" ] }, { "id": "task1678-bf3db4812f404084a2342004a3f84099", "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": "task1678-fa9c7c0821d94e85a1ac043c79d1ae86", "input": "Problem: trapezoid jklm in the x - y plane has coordinates j = ( – 2, – 4 ), k = ( – 2, 1 ), l = ( 6, 7 ), and m = ( 6, – 4 ). what is its perimeter ?\nOptions: a. 34, b. 36, c. 38, d. 40, e. 42", "output": [ "a" ] }, { "id": "task1678-e82c9f6a684944dcbfdf3a4fbc49e96f", "input": "Problem: a tradesman by means of his false balance defrauds to the extent of 20 % ? in buying goods as well as by selling the goods. what percent does he gain on his outlay ? a. 20 % b. 45 %\nOptions: a. 77, b. 66, c. 44, d. 99, e. 11", "output": [ "c" ] }, { "id": "task1678-0557ef2be7eb4354ad1629aff8e300cb", "input": "Problem: a numberais squared and then multiplied by negative 3. the result of this operation r is equal to 3 times the sum of 3 timesaand two. what is one possible value ofa ?\nOptions: a. - 3, b. - 2, c. 1, d. 2, e. 3", "output": [ "b" ] }, { "id": "task1678-5fbe678a269e4ae0b88451a79817c5be", "input": "Problem: a bag contains 10 red jellybeans and 10 blue jellybeans. if 3 jellybeans are removed one at a time, at random and are not replaced, what is the probability e that all 3 jellybeans removed from the bag are blue ?\nOptions: a. 9 / 100, b. 2 / 19, c. 1 / 8, d. 3 / 20, e. 3 / 10", "output": [ "b" ] }, { "id": "task1678-14998954c9fa438bb06d80cdba380096", "input": "Problem: a train 50 m long takes 6 sec to cross a man walking at 5 kmph in a direction opposite to that of the train. find the speed of the train ?\nOptions: a. 15 kmph, b. 25 kmph, c. 35 kmph, d. 45 kmph, e. 55 kmph", "output": [ "b" ] }, { "id": "task1678-e03835970c564a77a01044686fb49b5b", "input": "Problem: for any integer n greater than 1, n * denotes the product of all the integers from 1 to n, inclusive. how many prime numbers are there between 6 * + 2 and 6 * + 6, inclusive ?\nOptions: a. none, b. one, c. two, d. three, e. four", "output": [ "a" ] }, { "id": "task1678-dbd74f62bf89495c976bea1d561660e6", "input": "Problem: what is the area of an equilateral triangle whose one side length is 50 ?\nOptions: a. 225 √ 3, b. 325 √ 3, c. 425 √ 3, d. 525 √ 3, e. 625 √ 3", "output": [ "e" ] }, { "id": "task1678-842f1b2c8c6b4bd39c2af82687bc4fa5", "input": "Problem: on a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. on the next day, orangeade was made by mixing the same amount of orange juice with 5 times the amount of water. on both days, all the orangeade that was made was sold. if the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $ 0.80 per glass on the first day, what was the price per glass on the second day ?\nOptions: a. $ 015, b. $ 0.27, c. $ 0.30, d. $ 0.40, e. $ 0.45", "output": [ "b" ] }, { "id": "task1678-aa351c7701494f9fb4969ef6ed659e53", "input": "Problem: if 2 men or 3 women can reap a field in 10 days how long will 4 men and 5 women take to reap it ?\nOptions: a. 2 / 25, b. 11 / 30, c. 3 / 60, d. 5 / 42, e. 7 / 12", "output": [ "b" ] }, { "id": "task1678-a07a029d057245c9b8945a339e98e951", "input": "Problem: the average of 11 10 prime numbers which are odd is ?\nOptions: a. 17.72, b. 18.52, c. 19.63, d. 16.53, e. 15.63", "output": [ "a" ] }, { "id": "task1678-0f8729cbf1bc4b83a7496494fbf6dadc", "input": "Problem: the first doughnut is priced at $ 1 and then if you purchase additional doughnuts as dozens then the price is $ 6 / dozen. what is the total number of doughnuts purchased if you paid $ 25 ?\nOptions: a. 45, b. 49, c. 53, d. 57, e. 61", "output": [ "b" ] }, { "id": "task1678-cd70ab3f1bdf4819a28817436961e959", "input": "Problem: during the first two weeks of january, the total rainfall in springdale was 25 inches. if the rainfall during the second week was 1.5 times the rainfall during the first week, what was the rainfall during the second week of january ?\nOptions: a. 5 inches, b. 6 inches, c. 9 inches, d. 10 inches, e. 15 inches", "output": [ "e" ] }, { "id": "task1678-eea69c53fceb405b9a262e285fa78602", "input": "Problem: a train crosses a bridge of length 200 m in 10 seconds and a lamp post on the bridge in 5 seconds. what is the length of the train in metres ?\nOptions: a. 375 m, b. 750 m, c. 200 m, d. 800 m, e. 300 m", "output": [ "c" ] }, { "id": "task1678-ff3c28de5cf849f793b9f66ed9e36271", "input": "Problem: 10 ^ ( 600 ) ã · 10 ^ ( 580 ) = ?\nOptions: a. 10 ^ 10, b. 10 ^ 20, c. 10 ^ 22, d. 10 ^ 23, e. 10 ^ 24", "output": [ "b" ] }, { "id": "task1678-15dd6762297e454caccfc84e222acd65", "input": "Problem: the l. c. m of two numbers is 2310 and their h. c. f is 30. if one number is 385 the other is\nOptions: a. 180, b. 300, c. 270, d. 250, e. 350", "output": [ "a" ] }, { "id": "task1678-679c346c40ce456b8f21e56e48798756", "input": "Problem: if n is a positive integer and the product of all integers from 1 to n, inclusive, is a multiple of 440, what is the least possible value of n ?\nOptions: a. 10, b. 11, c. 12, d. 13, e. 14", "output": [ "b" ] }, { "id": "task1678-6b505ec637bb4bc38460d74202e2820d", "input": "Problem: mary and mike enter into a partnership by investing $ 550 and $ 450 respectively. at the end of one year, they divided their profits such that a third of the profit is divided equally for the efforts they have put into the business and the remaining amount of profit is divided in the ratio of the investments they made in the business. if mary received $ 1000 more than mike did, what was the profit made by their business in that year ?\nOptions: a. $ 8000, b. $ 10000, c. $ 15000, d. $ 12000, e. $ 12500", "output": [ "c" ] }, { "id": "task1678-c72b9b6952bf44f496a5032aea71b4f2", "input": "Problem: a goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 24 seconds. what is the length of the goods train ?\nOptions: a. 230 m, b. 240 m, c. 260 m, d. 270 m, e. none of these", "output": [ "a" ] }, { "id": "task1678-ace5d14f07c44fc596c478bd9a742707", "input": "Problem: 20 men can dig a tunnel in 30 days. if after 10 days, 20 more men are deployed to dig the tunnel, how many more days it will take to dig the whole tunnel ?\nOptions: a. 10, b. 15, c. 20, d. 25, e. 30", "output": [ "a" ] }, { "id": "task1678-c67989c8ed014cc8be4103ad0ce33756", "input": "Problem: if the product of 10 integers is negative, at most how many of the integers can be negative ?\nOptions: a. 2, b. 3, c. 4, d. 9, e. 6", "output": [ "d" ] }, { "id": "task1678-ead36a34ff1544478e3c6ce6364ae0d9", "input": "Problem: two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. the ratio of their speeds is :\nOptions: a. 3 / 7, b. 3 / 2., c. 3 / 88, d. 3 / 8., e. 2 / 2.", "output": [ "b" ] }, { "id": "task1678-b3ce56c8a4514a378d4953de9dbb409c", "input": "Problem: the difference between the compound interest compounded annually and simple interest for 2 years at 20 % per annum is rs. 72. find the principal ?\nOptions: a. 2277, b. 2667, c. 3600, d. 2766, e. 1800", "output": [ "e" ] }, { "id": "task1678-e2b77a99ca7e45e895bba8a2c2d45630", "input": "Problem: in a division, a student took 63 as divisor instead of 36. his answer was 24. the correct answer is -\nOptions: a. 42, b. 32, c. 48, d. 28, e. 38", "output": [ "a" ] }, { "id": "task1678-d96d689e41824125bf81ea4d0df76adc", "input": "Problem: the sum of the numbers is 550. if the first number be twice the second and third number be one - third of the first, then the second number is :\nOptions: a. 48, b. 150, c. 72, d. 84, e. 27", "output": [ "b" ] }, { "id": "task1678-aeac54e9ff0e4ffe895f0d50010e09da", "input": "Problem: what is 121 times 11 ?\nOptions: a. 1331, b. 1313, c. 1133, d. 3131, e. 3311", "output": [ "a" ] }, { "id": "task1678-46fd1189af734bc2bae0e403842d7628", "input": "Problem: if ( 1 – 1.25 ) n = 4, then n =\nOptions: a. − 400, b. − 16, c. − 4, d. 4, e. 400", "output": [ "b" ] }, { "id": "task1678-8c9d48c0292b4409954aa1885451b202", "input": "Problem: four 6 faced dice are thrown together. the probability that all the three show the same number on them is ?\nOptions: a. 1 / 32, b. 1 / 216, c. 1 / 33, d. 1 / 38, e. 1 / 34", "output": [ "b" ] }, { "id": "task1678-e2492ea5e7ba4403a4ada53d9500d6e8", "input": "Problem: the average age of 25 students in a class is 12 years. if teacher ' s age is also included then average increases 1 year then find the teacher ' s age ?\nOptions: a. 40, b. 35, c. 29, d. 38, e. 42", "output": [ "d" ] }, { "id": "task1678-a03e695c7ed1499da88982f32cb6c2b4", "input": "Problem: 7, 26, 63, 124, 215, 342, (.... )\nOptions: a. 481, b. 391, c. 511, d. 421, e. 452", "output": [ "c" ] }, { "id": "task1678-b188a2b3adc34a6bbac0674af6c36c21", "input": "Problem: a team p of 20 engineers can complete work or task in 32 days. another team q of 16 engineers can complete same task in 30 days. then the ratio of working capacity of 1 member of p to the 1 member of q is a. 3: 2\nOptions: a. 22, b. 34, c. 77, d. 29, e. 21", "output": [ "b" ] }, { "id": "task1678-b80b814f3067425686ac3bc63c18e289", "input": "Problem: a certain kind of necklace is made from 9 green, 6 white, and 3 orange beads. what is the maximum number of these necklaces that can be made from 45 beads of each color ?\nOptions: a. 7, b. 8, c. 5, d. 6, e. 2", "output": [ "c" ] }, { "id": "task1678-ee388c00098e4c4caf021a8ca18ce0ef", "input": "Problem: for 2 consecutive yrs, my incomes are in the ratio of 4: 7 and expenses in the ratio of 3: 5. if my income in the 2 nd yr is rs. 42000 & my expenses in the first yr in rs. 22000, my total savings for the two - year is\nOptions: a. s. 8000, b. s. 9000, c. s. 9900, d. s. 9990, e. s. 10000", "output": [ "b" ] }, { "id": "task1678-19046b824da9490f8d3a6194191ec574", "input": "Problem: the average of 45 results is 25 and the average of other 25 results is 45. what is the average of all the results ?\nOptions: a. 24, b. 32, c. 48, d. 50, e. none", "output": [ "b" ] }, { "id": "task1678-e7cb31a9c21f496cbfbb7d72b7011113", "input": "Problem: a, b and c invests rs. 2000, rs. 3000 and rs. 4000 in a business. after two year a removed his money; b and c continued the business for one more year. if the net profit after 3 years be rs. 4800, then a ' s share in the profit is ?\nOptions: a. 600, b. 400, c. 678, d. 867, e. 768", "output": [ "e" ] }, { "id": "task1678-230d744c415e4678bfa2557b4e4e0f48", "input": "Problem: 10 friends meet for movie 20 for picnic and 5 for games 4 for movie & picnic 2 for movie & games, 0 for picnic & games, 2 for all, how many are students are there in all ?\nOptions: a. 30, b. 31, c. 32, d. 33, e. 34", "output": [ "b" ] }, { "id": "task1678-4ead2b0cfdec4fcdbfb15e5326ed4008", "input": "Problem: the angle between the minute hand and the hour hand of a clock when the time is 9.30, is\nOptions: a. 35 °, b. 65 °, c. 45 °, d. 105 °, e. 95 °", "output": [ "d" ] }, { "id": "task1678-704836845736426ba7abb42210f382d5", "input": "Problem: two pipes a and b can separately fill a tank in 12 and 15 minutes respectively. a third pipe c can drain off 36 liters of water per minute. if all the pipes are opened, the tank can be filled in 15 minutes. what is the capacity of the tank ?\nOptions: a. 542, b. 540, c. 514, d. 829, e. 432", "output": [ "e" ] }, { "id": "task1678-8942868deec345ccb474060e5da88977", "input": "Problem: how many integerskgreater than 100 and less than 700 are there such that if the hundreds and the units digits ofkare reversed, the resulting integer is k + 99 ?\nOptions: a. 50, b. 60, c. 70, d. 80, e. 90", "output": [ "a" ] }, { "id": "task1678-419fc8bba4a143a29426c2a9ec3a37a1", "input": "Problem: a can give b 100 meters start and c 200 meters start in a kilometer race. how much start can b give c in a kilometer race ?\nOptions: a. 111.12 m, b. 221.12 m, c. 271.12 m, d. 611.12 m, e. 191.12 m", "output": [ "a" ] }, { "id": "task1678-f65ffa7b743e411b86205fab679f9618", "input": "Problem: the product x of two prime numbers is between 17 and 60. if one of the prime numbers is greater than 2 but less than 6 and the other is greater than 13 but less than 25, then x =\nOptions: a. 18, b. 29, c. 37, d. 44, e. 57", "output": [ "e" ] }, { "id": "task1678-c681b54038794f97979960850b9f7fe1", "input": "Problem: alok ordered 16 chapatis, 5 plates of rice, 7 plates of mixed vegetable and 6 ice - cream cups. the cost of each chapati is rs. 6, that of each plate of rice is rs. 45 and that of mixed vegetable is rs. 70. the amount that alok paid the cashier was rs. 961. find the cost of each ice - cream cup ?\nOptions: a. rs. 25, b. rs. 22.50, c. rs. 20, d. rs. 17.50, e. none of these", "output": [ "a" ] }, { "id": "task1678-32b837e258954e3e9b17d166687fa38c", "input": "Problem: a diagonal of a polygon is an segment between two non - adjacent vertices of the polygon. how many diagonals does a regular 20 - sided polygon have ?\nOptions: ['a. 875', 'b. 170', 'c. 1425', 'd. 2025', 'e. 2500']", "output": [ "b" ] }, { "id": "task1678-e9603377ef0940168f08a0f282bb3fa3", "input": "Problem: if 70 % of a number is equal to two - third of another number, what is the ratio of first number to the second number ?\nOptions: a. 5: 7, b. 18: 23, c. 17: 19, d. 20: 21, e. 2: 3", "output": [ "d" ] }, { "id": "task1678-db0565c6a0344e46b9df33f225a9a835", "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": "task1678-4e23632d2ff24720b441bead08919cbe", "input": "Problem: the average monthly income of p and q is rs. 2050. the average monthly income of q and r is rs. 5250 and the average monthly income of p and r is rs. 6200. the monthly income of r is :\nOptions: a. 5100, b. 4900, c. 9400, d. 1500, e. 3200", "output": [ "c" ] }, { "id": "task1678-efbfb57282024a49a4a3dda295e72dc9", "input": "Problem: find large number from below question the difference of two numbers is 1311. on dividing the larger number by the smaller, we get 11 as quotient and the 11 as remainder\nOptions: a. 1209, b. 1324, c. 1441, d. 1300, e. 1635", "output": [ "c" ] }, { "id": "task1678-4e60d7eb31b54f1d85301e676173dbf5", "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": "task1678-a517a16646a748c8b2590a01328fbd27", "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": "task1678-5299b8b4859f43e8b5cf653d38710fa1", "input": "Problem: excluding stoppages, the speed of the bus is 54 kmph and including stoppages, it is 36 kmph. for how many minutes does the bus stop per hr\nOptions: a. 12 min, b. 11 min, c. 13 min, d. 19 min, e. 20 min", "output": [ "e" ] }, { "id": "task1678-29f7c7139c5d4cd79cf83dc638048c8d", "input": "Problem: a person ' s present age is two - fifth of the age of his mother. after 4 years, he will be one - half of the age of his mother. how old is the mother at present ?\nOptions: a. a. 25, b. b. 40, c. c. 20, d. d. 45, e. e. 28", "output": [ "c" ] }, { "id": "task1678-f91dd125d17d4a81b5b58e048ac481b9", "input": "Problem: a 150 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. what is the length of the platform ?\nOptions: a. 300, b. 175, c. 360, d. 370, e. 380", "output": [ "b" ] }, { "id": "task1678-1f4efad01889444aae99c1652995b67f", "input": "Problem: a bag contains an equal number of one rupee, 50 paise and 25 paise coins respectively. if the total value is 35, how many coins of each type are there ?\nOptions: a. 20 coins, b. 30 coins, c. 28 coins, d. 25 coins, e. none of these", "output": [ "a" ] }, { "id": "task1678-39c9fdacdd4d4048a36b35437cd45b94", "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": "task1678-753b9323bda74f6b88aa03add64455a7", "input": "Problem: how many positive even integers less than 100 contain digits 5 or 7 ?\nOptions: a. 10, b. 17, c. 18, d. 19, e. 20", "output": [ "a" ] }, { "id": "task1678-c961caac990446399dfdb1d75e0c218c", "input": "Problem: a person can swim in still water at 4 km / h. if the speed of water 2 km / h, how many hours will the man take to swim back against the current for 10 km ?\nOptions: a. 3, b. 5, c. 8, d. 9, e. 6", "output": [ "b" ] }, { "id": "task1678-13db64425dfc4faab550de8e9c8c8f1a", "input": "Problem: the price of a certain painting increased by 25 % during the first year and decreased by 15 % during the second year. the price of the painting at the end of the 2 - year period was what percent of the original price ?\nOptions: a. 109 %, b. 106.25 %, c. 120 %, d. 115 %, e. 110 %", "output": [ "b" ] }, { "id": "task1678-0fa7aa53c2704a3aad6c2fddee146a7c", "input": "Problem: a car runs at the speed of 25 km per hour when not serviced and runs at 75 kmph when serviced. after servicing the car covers a certain distance in 5 hours. how much time will the car take to cover the same distance when not serviced ?\nOptions: a. 8 hours, b. 16 hours, c. 15 hours, d. 7 hours, e. none", "output": [ "d" ] }, { "id": "task1678-4b7d2ab78c4a4309964f106a0439b83a", "input": "Problem: rs. 1010 / - distributed among a, b and c such that on decreasing their shares by rs. 25, rs. 10 and rs. 15 respectively, the balance money would be divided among them in the ratio 3: 2: 5. then, c ’ s share is: ?\nOptions: a. rs. 485, b. rs. 495 / -, c. rs. 575, d. rs. 685, e. rs. 592", "output": [ "b" ] }, { "id": "task1678-64207937e43f474da54de3634d338c92", "input": "Problem: a is twice as good a work man as b and together they finish a piece of work in 36 days. the number of days taken by b alone to finish the work is :\nOptions: a. 100 days., b. 108 days., c. 98 days., d. 47 days., e. 103 days.", "output": [ "b" ] }, { "id": "task1678-4ad2412e04fa4216a059333ff022d16f", "input": "Problem: 5 % of ( 25 % of $ 1600 ) is ?\nOptions: a. $ 20, b. $ 30, c. $ 45, d. $ 15, e. $ 60", "output": [ "a" ] }, { "id": "task1678-5fba247174334160ad1a98a2c4801a13", "input": "Problem: what is the smallest number by which 2880 must be divided in order to make it into a perfect square ?\nOptions: a. 3, b. 4, c. 5, d. 6, e. 7", "output": [ "c" ] }, { "id": "task1678-c701a2fcc9764f92bc0cfab39c80c7d3", "input": "Problem: how many diagonals does a 60 - sided convex polygon have ?\nOptions: a. 960, b. 1280, c. 1710, d. 2560, e. 3420", "output": [ "c" ] }, { "id": "task1678-3828fbb053a14d7ab0cef947e435fa44", "input": "Problem: rs. 1210 were divided among 3 person p, q, r so that p: q = 5: 4 and q: r = 9: 10. then r gets the amount ?\nOptions: a. rs. 300, b. rs. 400, c. rs. 480, d. rs. 500, e. rs. 520", "output": [ "b" ] }, { "id": "task1678-179e16b4773d4e4683a271f849d7d151", "input": "Problem: a fruit drink is made of orange, watermelon, and grape juice, where 35 percent of the drink is orange juice and 35 percent is watermelon juice. if the drink is made with 45 ounces of grape juice, how many ounces is the drink total ?\nOptions: a. 120, b. 140, c. 150, d. 180, e. 200", "output": [ "c" ] }, { "id": "task1678-5d55785662304db8af5ee7a04f32b031", "input": "Problem: for all real numbers v, an operation is defined by the equation v * = v - v / 3. if ( v * ) * = 24, then v =\nOptions: a. 45, b. 48, c. 51, d. 54, e. 57", "output": [ "d" ] }, { "id": "task1678-18b1d8c4ce7e47428976e26449f8481e", "input": "Problem: the least perfect square, which is divisible by each of 21,36 and 66 is\nOptions: ['a. 213444', 'b. 214344', 'c. 214434', 'd. 213443', 'e. none of these']", "output": [ "a" ] }, { "id": "task1678-25c1c26cd8174fc58b3742f5182aac16", "input": "Problem: what is the greatest prime factor of 2 ^ 10 - 1 ?\nOptions: a. 17, b. 19, c. 23, d. 29, e. 31", "output": [ "e" ] }, { "id": "task1678-f2354c97b68d49abbf5aeb4f942cd1ff", "input": "Problem: a wholesaler wishes to sell 100 pounds of mixed nuts at $ 2.50 a pound. she mixes peanuts worth $ 1.50 a pound with cashews worth $ 5.00 a pound. how many pounds of cashews must she use ?\nOptions: a. 40, b. 45, c. 50, d. 55, e. 60", "output": [ "b" ] }, { "id": "task1678-5b4cf7e99a974df6b81fc13ad93269ad", "input": "Problem: 4 years ago, paula was 4 times as old as karl. in 12 years, paula will be twice as old as karl. what is the sum of their ages now ?\nOptions: a. 36, b. 40, c. 44, d. 48, e. 52", "output": [ "d" ] }, { "id": "task1678-3b7262b38a2440ee9fa6215bf8364161", "input": "Problem: there are 15 teams in a certain league and each team plays each of the other teams exactly twice. if each game is played by 2 teams, what is the total number of games played ?\nOptions: a. 15, b. 16, c. 28, d. 56, e. 210", "output": [ "e" ] }, { "id": "task1678-c8bfd1826da44e06b2359ef301aaa21f", "input": "Problem: if w / x = 2 / 3 and w / y = 6 / 15, then ( x + y ) / y =\nOptions: a. 4 / 5, b. 6 / 5, c. 7 / 5, d. 8 / 5, e. 9 / 5", "output": [ "d" ] }, { "id": "task1678-479387a3b19d4e9ebc2329bd4d531317", "input": "Problem: a “ palindromic integer ” is an integer that remains the same when its digits are reversed. so, for example, 43334 and 516615 are both examples of palindromic integers. how many 6 - digit palindromic integers are both even and greater than 500,000 ?\nOptions: a. 160, b. 200, c. 240, d. 300, e. 480", "output": [ "b" ] }, { "id": "task1678-a88c661598764da9863d7f336497e05b", "input": "Problem: a trader sold an article on a certain price with 40 % profit. if he sold double of previous selling price then find its profit %\nOptions: a. 140 %, b. 180 %, c. 120 %, d. 100 %, e. 150 %", "output": [ "b" ] }, { "id": "task1678-980950da31184d4fb98f60e97851941c", "input": "Problem: the average price of an decoration piece increases over the years. if from 1990 to 1996, the price of the decoration piece increased by 13 % and from 1996 to 2001 it increased by 20 %, what is the price of the decoration piece in 2001 if the price in 1990 was $ 11500 ?\nOptions: a. $ 15594., b. $ 15322., c. $ 14786., d. $ 14543., e. $ 12988.", "output": [ "a" ] }, { "id": "task1678-0062522c3b034884b787903b7c432ebc", "input": "Problem: how many 2 - inch by 3 - inch rectangular tiles are required to tile this shaded region ?\nOptions: ['a. less than 10', 'b. 10 — 100', 'c. 101 — 1,000', 'd. 1,001 — 1,500', 'e. 1,500 +']", "output": [ "e" ] }, { "id": "task1678-44f1bdd2dac14afd95e5e8b86881b45e", "input": "Problem: a cube is painted red on all faces. it is then cut into 27 equal smaller cubes. how many h cubes are painted on only 2 faces ?\nOptions: a. 12, b. 8, c. 6, d. 10, e. 16", "output": [ "a" ] }, { "id": "task1678-448f722794dd404889131ea8e7c3d73e", "input": "Problem: the length of a rectangle is increased by 15 % and its breadth is decreased by 20 %. what is the effect on its area ?\nOptions: a. 1288, b. 1299, c. 1000, d. 10000, e. 9200", "output": [ "e" ] }, { "id": "task1678-f21e5129d12843c699fad5b0b40615c6", "input": "Problem: solve the quickfire maths brain teaser â ˆ š 16 % = ?\nOptions: a. 30 %, b. 40 %, c. 85 %, d. 19 %, e. 29 %", "output": [ "b" ] }, { "id": "task1678-2a46fa41d35a42e0904dbf54d078a3a1", "input": "Problem: how many seconds will a train 150 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph ?\nOptions: a. 28 sec, b. 23 sec, c. 29 sec, d. 30 sec, e. 36 sec", "output": [ "d" ] }, { "id": "task1678-1ef6478483a94dddb0ff61e2d8b6bb67", "input": "Problem: the price of a bushel of corn is currently $ 3.20, and the price of a peck of wheat is $ 8.80. the price of corn is increasing at a constant rate of 5 x cents per day while the price of wheat is decreasing at a constant rate of x ( 2 ^ 1 / 2 ) - x cents per day. what is the approximate price when a bushel of corn costs the same amount as a peck of wheat ?\nOptions: a. $ 8.40, b. $ 5.10, c. $ 5.30, d. $ 5.50, e. $ 5.60", "output": [ "a" ] }, { "id": "task1678-c8dce8d9281d4c34a09f8b99eea6871c", "input": "Problem: find the area of the quadrilateral of one of its diagonals is 28 cm and its off sets 9 cm and 6 cm ?\nOptions: a. 210 cm 2, b. 150 cm 2, c. 168 cm 2, d. 198 cm 2, e. 987 cm 2", "output": [ "a" ] }, { "id": "task1678-454bb96a937449e09a5697b9a39b35f5", "input": "Problem: the largest one digit number which is a perfect cube, is :\nOptions: a. 7, b. 8, c. 9, d. 1, e. 0", "output": [ "b" ] }, { "id": "task1678-f3358a7517974e26a42610f57c985d4d", "input": "Problem: when the price of a product was decreased by 20 %, the number sold increased by 60 %. what was the effect on the total revenue ?\nOptions: a. 28 %, b. 32 %, c. 35 %, d. 45 %, e. 52 %", "output": [ "a" ] }, { "id": "task1678-ee047eb569fa4011a4fd9a85ea1ba021", "input": "Problem: in a rare coin collection, all coins are either pure gold or pure silver, and there is initially one gold coin for every 3 silver coins. with the addition of 15 more gold coins to the collection, the ratio of gold coins to silver coins is 1 to 2. based on this information, how many total coins are there now in this collection ( after the acquisition ) ?\nOptions: a. 124, b. 135, c. 146, d. 157, e. 168", "output": [ "b" ] }, { "id": "task1678-7238b8611fa9477eb6968c3d16912126", "input": "Problem: positive integer y is 50 percent of 50 percent of positive integer x, and y percent of x equals 100. what is the value of y ?\nOptions: a. 50, b. 100, c. 200, d. 1,000, e. 2,000", "output": [ "a" ] }, { "id": "task1678-06dfe77d574d40f9ab6453591f6590e9", "input": "Problem: after giving a discount of rs. 45 the shopkeeper gets a loss of 10 %, if the cost price is rs. 180. find the markup % ?\nOptions: a. 0.21, b. 0.2, c. 0.17, d. 0.21, e. 0.15", "output": [ "e" ] }, { "id": "task1678-3ce3c55569b94926922977e34882ca77", "input": "Problem: a student has to obtain 35 % of the total marks to pass. he got 100 marks and failed by 40 marks. the maximum marks are ?\nOptions: a. 280, b. 400, c. 420, d. 480, e. 520", "output": [ "b" ] }, { "id": "task1678-eb172f6a009e495181342f149fc5403a", "input": "Problem: if a: b = 3: 4, b: c = 7: 9, c: d = 5: 7, find a: d ?\nOptions: a. 5 / 12, b. 5 / 15, c. 5 / 10, d. 5 / 11, e. 5 / 13", "output": [ "a" ] }, { "id": "task1678-880a6a3879914ff5b53a91fee5249cb7", "input": "Problem: the average age of an adult class is 40 years. 12 new students with an avg age of 32 years join the class. therefore decreasing the average by 4 year. find what was theoriginal strength of class ?\nOptions: a. 8, b. 12, c. 15, d. 17, e. 18", "output": [ "b" ] }, { "id": "task1678-165c54f600ce4686ac2f90a8becc391c", "input": "Problem: a, b and c can do a piece of work in 24 days, 30 days and 40 days respectively. they began the work together but c left 12 days before the completion of the work. in how many days was the work completed ?\nOptions: a. 13 days, b. 16 days, c. 18 days, d. 11 days, e. 38 days", "output": [ "a" ] }, { "id": "task1678-bb3b27b9458941248bf40a1e8685e9f4", "input": "Problem: a parking garage rents parking spaces for $ 10 per week or $ 25 per month. how much does a person save in a year by renting by the month rather than by the week ?\nOptions: a. $ 120, b. $ 160, c. $ 220, d. $ 240, e. $ 260", "output": [ "a" ] }, { "id": "task1678-fdc0780f011049959d09becb39e20e36", "input": "Problem: if n is a positive integer and the product of all integers from 1 to n, inclusive, is a multiple of 630, what is the least possible value of n ?\nOptions: a. 5, b. 6, c. 7, d. 8, e. 9", "output": [ "c" ] }, { "id": "task1678-2319cf1ded2d45218f77123e856ef7aa", "input": "Problem: the total marks obtained by a student in mathematics and physics is 30 and his score in chemistry is 20 marks more than that in physics. find the average marks scored in mathamatics and chemistry together.\nOptions: a. 40, b. 30, c. 25, d. data inadequate, e. none of these.", "output": [ "c" ] }, { "id": "task1678-ff4183150fab45a09a5b2e6df31ab7da", "input": "Problem: a lent rs. 5000 to b for 2 years and rs. 3000 to c for 4 years on simple interest at the same rate of interest and received rs. 1540 in all from both of them as interest. the rate of interest per annum is ?\nOptions: a. 7 %, b. 12 %, c. 74 %, d. 10 %, e. 45 %", "output": [ "a" ] }, { "id": "task1678-f0a2b262f7d74a8685788df1e2917e58", "input": "Problem: solve for x and check: 25 x = 675\nOptions: a. 675, b. 725, c. 895, d. 1025, e. none of these", "output": [ "a" ] }, { "id": "task1678-d3e70f8342ca47d4a29e38539dc65c16", "input": "Problem: given that x and y are events such that z ( x ) = 0.02 z ( y ) = 0.10 z ( xny ) = 0.10 z ( x | y ) = find z ( x | y ) and z ( x | y )\nOptions: a. 1 / 5, b. 1 / 6, c. 1 / 6, d. 1 / 4, e. 1 / 2", "output": [ "a" ] }, { "id": "task1678-290420afe866494c98f9cf7ecd2faa97", "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": "task1678-8db7bc270bae4a129680722f31108b6f", "input": "Problem: the length of a rectangle is 3 times its width. if the width of the rectangle is 6 inches, what is the rectangle ' s area, in square inches ?\nOptions: a. 30 square inches, b. 108 square inches, c. 68 square inches, d. 89 square inches, e. 92 square inches", "output": [ "b" ] }, { "id": "task1678-52deb7b9320c46aea276ce09d3232e05", "input": "Problem: a, b and c started a business with capitals of rs. 8000, rs. 10000 and rs. 12000 respectively. at the end of the year, the profit share of b is rs. 2500. the difference between the profit shares of a and c is ?\nOptions: a. 621, b. 276, c. 236, d. 1000, e. 211", "output": [ "d" ] }, { "id": "task1678-cc13b165eb4d4a82b6033d0401688c10", "input": "Problem: a truck drives 80 miles on local roads at 30 mph, and 50 miles on the highway at 60 mph, the truck also take a hour lunch break. what is the average speed of the entire trip ?\nOptions: a. 30 mph, b. 29 mph, c. 28 mph, d. 31 mph, e. 23 mph", "output": [ "a" ] }, { "id": "task1678-33ae7b516ce4463f844c86d5b1c844d8", "input": "Problem: carrey rented a car for rs. 20 plus rs. 0.25 per kilometer driven. samuel rented a car for rs. 24 plus rs. 0.16 per kilometer driven. if each drove d km. and each was charged exactly the same amount for the rental, then d equals ?\nOptions: a. 44.4, b. 44.8, c. 1, d. 19, e. 44.11", "output": [ "a" ] }, { "id": "task1678-4ab2f49bbd95419a9221d7b32c60adb2", "input": "Problem: the first doughnut is priced at $ 1 and then if you purchase additional doughnuts as dozens then the price is $ 6 / dozen. what is the total number of doughnuts purchased if you paid $ 24 ?\nOptions: a. 44, b. 46, c. 48, d. 50, e. 52", "output": [ "c" ] }, { "id": "task1678-94d8d879ea2f4ed49f749236ca2617f5", "input": "Problem: the speed of the boat in still water in 12 kmph. it can travel downstream through 48 kms in 3 hrs. in what time would it cover the same distance upstream ?\nOptions: a. 8 hours, b. 6 hours, c. 4 hours, d. 5 hours, e. 6 hours", "output": [ "e" ] }, { "id": "task1678-ede1e5dbdf434145a0c02639bc1c8cf7", "input": "Problem: on a sum of money, the simple interest for 2 years is rs. 326, while the compound interest is rs. 340, the rate of interest being the same in both the cases. the rate of interest is\nOptions: a. 15 %, b. 14.25 %, c. 8.58 %, d. 10.5 %, e. 11.5 %", "output": [ "c" ] }, { "id": "task1678-721b8018bb584b53bcc68c1c325ee256", "input": "Problem: in a certain supermarket, a triangular display of cans is arranged in 9 rows, numbered 1 through 9 from top to bottom. each successively numbered row contains 3 more cans than the row immediately above it. if there are fewer than 120 cans in the entire display, how many cans are in the seventh row ?\nOptions: a. 13, b. 15, c. 17, d. 19, e. 21", "output": [ "d" ] }, { "id": "task1678-8f280cf1340b4773b003063c3f177326", "input": "Problem: the length of a rectangle is 3 times its width. if the width of the rectangle is 4 inches, what is the rectangle ' s area, in square inches ?\nOptions: a. 30 square inches, b. 75 square inches, c. 68 square inches, d. 48 square inches, e. 92 square inches", "output": [ "d" ] }, { "id": "task1678-cb1a2d1349984534bb48a602ac448f9a", "input": "Problem: the average age of students of a class is 15.8 years. the average age of boys in the class is 16.4 years and that of the girls is 15.7 years. the ration of the number of boys to the number of girls in the class is ?\nOptions: a. 1: 6, b. 2: 3, c. 2: 5, d. 2: 1, e. 2: 4", "output": [ "a" ] }, { "id": "task1678-77e1f23627ea472c9cd953741368e6e4", "input": "Problem: a man walking at a rate of 5 km / hr crosses a bridge in 15 minutes. the length of the bridge is ?\nOptions: a. 1250 m, b. 1310 m, c. 1500 m, d. 1000 m, e. 1195 m", "output": [ "a" ] }, { "id": "task1678-ce9f6dfa4b9f46fd90a5bb4ce1a17471", "input": "Problem: a train traveling at 108 kmph crosses a platform in 30 seconds and a man standing on the platform in 12 seconds. what is the length of the platform in meters ?\nOptions: a. 240 meters, b. 360 meters, c. 420 meters, d. 600 meters, e. can not be determined", "output": [ "b" ] }, { "id": "task1678-d9e98eaaa3ee449abbc650d339cc8b30", "input": "Problem: the ratio of investments of two partners p and q is 7: 5 and the ratio of their profits is 7: 11. if p invested the money for 5 months, find for how much time did q invest the money ?\nOptions: a. 19, b. 17, c. 13, d. 11, e. 12", "output": [ "d" ] }, { "id": "task1678-f6bf21bcdfe74ad8ba095451965608ba", "input": "Problem: a fair price shopkeeper takes 10 % profit on his goods. he lost 30 % goods during theft. his loss percent is :\nOptions: a. 23 %, b. 42 %, c. 32 %, d. 12 %, e. 22 %", "output": [ "a" ] }, { "id": "task1678-b7aee03443a64bb7b903a855a9e1d1e8", "input": "Problem: some people are standing square. from them 32 are removed and then form a small square and then 8 more removed. now we can not form the square. so how many people are there at the beginning ?\nOptions: a. 31, b. 32, c. 33, d. 34, e. ca n ' t be determined", "output": [ "e" ] }, { "id": "task1678-aa28741647ef4e5abb6321a927667b79", "input": "Problem: how many seconds will a 500 m long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 63 km / hr ?\nOptions: a. 22, b. 30, c. 88, d. 26, e. 12", "output": [ "b" ] }, { "id": "task1678-f7f78f6e8a5b4e1aba29cac439366363", "input": "Problem: the ages of 2 persons differ by 32 years. if 12 years ago the elder one be 6 times as old as the younger one, find the present age of elder person.\nOptions: a. 30, b. 48.5, c. 50.4, d. 62.6, e. 47.9", "output": [ "c" ] }, { "id": "task1678-d68fe940cf1c49ec89e65b657bbd9a8a", "input": "Problem: on a certain date, pat invested $ 8,000 at x percent annual interest, compounded annually. if the total value of the investment plus interest at the end of 10 years will be $ 32,000, in how many years total will the total value of the investment plus interest increase to $ 64,000 ?\nOptions: a. 15, b. 16, c. 18, d. 20, e. 24", "output": [ "a" ] }, { "id": "task1678-a3c7232123fb4c4d9c0dcda76c7c8dd4", "input": "Problem: the average age of 10 men is increased by years when two of them whose ages are 21 years and 23 years are replaced by two new men. the average age of the two new men is\nOptions: a. 22, b. 30, c. 99, d. 38, e. 32", "output": [ "e" ] }, { "id": "task1678-607b78564b8e42c0a9c47c255b92415c", "input": "Problem: if 64 ( 8 ^ x ) = 1 then x =\nOptions: a. 2, b. – 1, c. 0, d. 1, e. - 2", "output": [ "e" ] }, { "id": "task1678-57b85c34e20347b09fe6d193981abdf1", "input": "Problem: a rectangle having length 105 cm and width 40 cm. if the length of the rectangle is increased by twenty five percent then how much percent the breadth should be decreased so as to maintain the same area.\nOptions: a. 25 %, b. 19.23 %, c. 40 %, d. 75 %, e. none of these", "output": [ "b" ] }, { "id": "task1678-3e872005ad2a4e59b85f4ca4a1d05fba", "input": "Problem: a tailor trims 6 feet from opposite edges of a square piece of cloth, and 5 feet from the other two edges. if 80 square feet of cloth remain, what was the length of a side of the original piece of cloth ?\nOptions: a. 16, b. 18, c. 20, d. 24, e. 32", "output": [ "c" ] }, { "id": "task1678-cd9a42ebcef74a1c83dfa68af8a631c1", "input": "Problem: the base and height of a parallelogram are 12 m and 6 m respectively. then its area is = = = = = = ?\nOptions: ['a. 27 sq. m', 'b. 126 sq. m', 'c. 84 sq. m', 'd. 18 sq. m', 'e. 72 sq. m']", "output": [ "e" ] }, { "id": "task1678-327a2d904eb848458a8fba5f86a264c1", "input": "Problem: how many prime numbers are between 76 / 8 and 124 / 5 ?\nOptions: a. 1, b. 2, c. 3, d. 4, e. 5", "output": [ "e" ] }, { "id": "task1678-34794d378105498a83692f9801be3171", "input": "Problem: evaluate: 40 - 12 * 3 * 2 = ?\nOptions: a. 62, b. 52, c. 32, d. 12, e. 22", "output": [ "c" ] }, { "id": "task1678-d734090170a246a8bdca87774e297bb6", "input": "Problem: pipe a can fill a tank in 6 minutes and pipe b cam empty it in 24 minutes. if both the pipes are opened together after how many minutes should pipe b be closed, so that the tank is filled in 30 minutes ?\nOptions: a. 18, b. 27, c. 96, d. 27, e. 21", "output": [ "c" ] }, { "id": "task1678-d21c21aa7c4245b9984c396aa8e47ee8", "input": "Problem: what is the compound interest on rs: 40,000 for 4 months at the rate of 5 % per annum\nOptions: a. 670.85, b. 671.85, c. 672.85, d. 673.85, e. 674.85", "output": [ "a" ] }, { "id": "task1678-e0a7102068034efca10892212fc4df6f", "input": "Problem: mark and ann together were allocated n boxes of cookies to sell for a club project. mark sold 6 boxes less than n and ann sold 2 boxes less than n. if mark and ann have each sold at least one box of cookies, but together they have sold less than n boxes, what is the value of n ?\nOptions: a. 1, b. 2, c. 3, d. 4, e. 5", "output": [ "e" ] }, { "id": "task1678-58b0304e28cd4964b728bd0807a0ff5d", "input": "Problem: the number of diagonals of a polygon of n sides is given by the formula q = n ( n - 3 ) / 2. if a polygon has twice as many diagonals as sides, how many sides does it have ?\nOptions: a. 3, b. 5, c. 6, d. 7, e. 8", "output": [ "b" ] }, { "id": "task1678-8a99e624d590462a988c306a82c967fe", "input": "Problem: a fair price shopkeeper takes 10 % profit on his goods. he lost 70 % goods during theft. his loss percent is :\nOptions: a. 72 %, b. 42 %, c. 32 %, d. 67 %, e. 22 %", "output": [ "d" ] }, { "id": "task1678-371d13143b1f4e53916d0a679d5d2f47", "input": "Problem: the age of somu is one - third his father ' s. 8 years back he was one - fifth of his father ' s age. what is his persent age ?\nOptions: a. 11, b. 13, c. 14, d. 16, e. 10", "output": [ "d" ] }, { "id": "task1678-923a21288e1d45b68287b4054124da96", "input": "Problem: 13 buckets of water fill a tank when the capacity of each bucket is 42 litres. how many buckets will be needed to fill the same tank, if the capacity of each bucket is 6 litres ?\nOptions: a. 91, b. 80, c. 96, d. 98, e. 90", "output": [ "a" ] }, { "id": "task1678-b5d0e9582c8446e4bad278ead5f73fc6", "input": "Problem: a car ferry can hold up to 70 tons of cargo. what is the greatest number of vehicles that the ferry can carry if half the vehicles are cars with an average ( arithmetic mean ) weight of 0.75 tons and half of the vehicles are trucks with an average ( arithmetic mean ) weight of 4 tons ?\nOptions: a. 14, b. 20, c. 28, d. 32, e. 36", "output": [ "c" ] }, { "id": "task1678-dbb576d2981043d49bd5e8c2f7508be2", "input": "Problem: two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 22 seconds. the ratio of their speeds is ?\nOptions: a. 3 / 1, b. 3 / 1, c. 1 / 1, d. 3 / 5, e. 5 / 2", "output": [ "c" ] }, { "id": "task1678-60435db0e31b42b9a31d7406cc597311", "input": "Problem: exactly 3 / 7 of the people in the room are under the age of 21, and exactly 5 / 9 of the people in the room are over the age of 65. if the total number of the people in the room is greater than 50 and less than 100, how many people in the room are under the age of 21 ?\nOptions: a. 27, b. 35, c. 39, d. 60, e. 65", "output": [ "a" ] }, { "id": "task1678-7837e12cdd474b0390b9cc3218d8720f", "input": "Problem: 4, 12, 48, 240, 1440, 10080, (... )\nOptions: a. 80640, b. 10080, c. 6200, d. 10020, e. 12500", "output": [ "a" ] }, { "id": "task1678-1672261404a84a1b91f7bd4b2d77b62d", "input": "Problem: the product of two successive numbers is 7832. which is the smaller of the two numbers ?\nOptions: a. 78, b. 68, c. 88, d. 97, e. 37", "output": [ "c" ] }, { "id": "task1678-82625ca4921549c2973858515c570e67", "input": "Problem: the value of 3.6 x 0.48 x 2.50 / 0.12 x 0.09 x 0.5 is\nOptions: a. 80, b. 800, c. 8000, d. 80000, e. none of these", "output": [ "b" ] }, { "id": "task1678-0b5acbcf9c4c4d84bb29ed7493e98412", "input": "Problem: two pipes can fill the cistern in 10 hr and 12 hr respectively, while the third empty it in 30 hr. if all pipes are opened simultaneously, then the cistern will be filled in\nOptions: a. 6.67 hr, b. 8 hr, c. 8.5 hr, d. 10 hr, e. none of these", "output": [ "a" ] }, { "id": "task1678-82b12884b449429ca37900da078d51b8", "input": "Problem: if 1 / 8 of a pencil is black 1 / 2 of the remaining is white and the remaining 7 / 2 is blue find the total length of the pencil ?\nOptions: a. 7.33 cm, b. 6.33 cm, c. 5.33 cm, d. 9.33 cm, e. 8.33 cm", "output": [ "d" ] }, { "id": "task1678-e983c33e2276406eb622539948665d06", "input": "Problem: the average temperature for monday, tuesday, wednesday and thursday was 48 degrees and for tuesday, wednesday, thursday and friday was 46 degrees. if the temperature on monday was 42 degrees. find the temperature on friday ?\nOptions: a. 34, b. 55, c. 66, d. 81, e. 21", "output": [ "a" ] }, { "id": "task1678-32a9e0e88fff49a995118538bc8f294a", "input": "Problem: a certain taxi company charges $ 2.10 for the first 1 / 5 of a mile plus $ 0.40 for each additional 1 / 5 of a mile. what would this company charge for a taxi ride that was 8 miles long ?\nOptions: a. 15.6, b. 16.0, c. 17.7, d. 18.7, e. 19.1", "output": [ "c" ] }, { "id": "task1678-696d6a22600d499487ea1418b2d346d4", "input": "Problem: two cyclist start from the same places in opposite directions. one is going towards north at 30 kmph and the other is going towards south 40 kmph. what time will they take to be 50 km apart ?\nOptions: a. 1.32 hr, b. 0.714 hrs, c. 3.231 hrs, d. 0.515 hrs, e. 6.214 hrs", "output": [ "b" ] }, { "id": "task1678-39546e75ff3a4413b1032416dbae1d21", "input": "Problem: in x - y plane, there is a right triangle abc ( ∠ b = 90 o ). if the length of ac is 25 and the slope of line segment ac is 4 / 3, what is the length of ab ?\nOptions: a. 12, b. 18, c. 24, d. 20, e. 40", "output": [ "d" ] }, { "id": "task1678-f0cdf939904f433b9b24ecefd6e462c3", "input": "Problem: the average of 5 consecutive odd numbers a, b, c, d and e is 13. what percent of b is c ?\nOptions: a. 98.2, b. 102.8, c. 108.2, d. 118.2, e. 122.8", "output": [ "d" ] }, { "id": "task1678-9fcd560a06124637a74cb6ab938be607", "input": "Problem: a palindrome is a number that reads the same forward and backward, such as 343. how many odd, 8 - digit numbers are palindromes ?\nOptions: a. 4000, b. 4500, c. 5055, d. 5000, e. 2500", "output": [ "d" ] }, { "id": "task1678-ed15245f3d0d48ff914036c90d4d0c43", "input": "Problem: a person borrows rs. 7000 for 2 years at 4 % p. a. simple interest. he immediately lends it to another person at 6 p. a for 2 years. find his gain in the transaction per year.\nOptions: a. 100 rs, b. 150 rs, c. 140 rs, d. 180 rs, e. 200 rs", "output": [ "c" ] }, { "id": "task1678-28f7bd04df4345e385d34a89451711f5", "input": "Problem: two tests had the same maximum mark. the pass percentages in the first and the second test were 40 % and 45 % respectively. a candidate scored 240 marks in the second test and failed by 57 marks in that test. find the pass mark in the first test ?\nOptions: a. 768, b. 243, c. 246, d. 264, e. 224", "output": [ "d" ] }, { "id": "task1678-10a0d44c2d9f4ec69ef3fb21b9f37640", "input": "Problem: if the side of the regular hexagon above is 2, what is the circumference of the inscribed circle ?\nOptions: ['a. 2 ∏ √ 3', 'b. 3 ∏', 'c. 4 ∏ / √ 3', 'd. 2 ∏ / √ 3', 'e. ∏ √ 3']", "output": [ "a" ] }, { "id": "task1678-d4737993a17048e9bb9619c30cad1722", "input": "Problem: what is the difference between the local value of 1 and 2 in the number 2124 ?\nOptions: a. 70, b. 75, c. 20, d. 80, e. 60", "output": [ "d" ] }, { "id": "task1678-63d75ac4e438498cb9a50f09bc16274a", "input": "Problem: in 10 years, a will be twice as old as b was 10 years ago. if a is now 7 years older than b the present age of b is\nOptions: a. 37, b. 38, c. 39, d. 40, e. 41", "output": [ "a" ] }, { "id": "task1678-0a922f11698e40bdb53a465945b26711", "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": "task1678-3b3beb0ca38045cea545d76e4f67908a", "input": "Problem: rebecca ' s annual income is $ 15, and jimmy ' s annual income is $ 18. by how much must rebecca ' s annual income increase so that it constitutes 50 % of rebecca and jimmy ' s combined income ?\nOptions: a. 7, b. 8, c. 9, d. 3, e. 10", "output": [ "d" ] }, { "id": "task1678-2f8dbe70f8c14ec3a58e69ee6eabf97a", "input": "Problem: you buy a piece of land with an area of â ˆ š 1600, how long is one side of the land plot ?\nOptions: a. 28, b. 40, c. 30, d. 31, e. 32", "output": [ "b" ] }, { "id": "task1678-189bf6352bb9446cb928847942b4d8d7", "input": "Problem: a can do a work in 15 days b in 14 days and c in 16 days. if they work on it together then in how many days required to complete the work ?\nOptions: a. 3360 / 210, b. 3360 / 21, c. 3360 / 674, d. 3360 / 240, e. 3360 / 224", "output": [ "c" ] }, { "id": "task1678-fe3f5e9daf174343a0b08334993e1704", "input": "Problem: tanks a and b are each in the shape of a right circular cylinder. the interior of tank a has a height of 10 meters and a circumference of 9 meters, and the interior of tank b has a height of 9 meters and a circumference of 10 meters. the capacity of tank a is what percent of the capacity of tank b ?\nOptions: a. 75 %, b. 90 %, c. 100 %, d. 120 %, e. 125 %", "output": [ "b" ] }, { "id": "task1678-8e4c23c5b34b4d5a888723bb70bb3abd", "input": "Problem: what is the smallest positive integer x such that 66 - x is the cube of a positive integer\nOptions: a. 5, b. 7, c. 47, d. 9, e. 2", "output": [ "e" ] }, { "id": "task1678-4c1932ad14fb48598af08f96ef96cf95", "input": "Problem: a cistern can be filled by a tap in 6 hours while it can be emptied by another tap in 12 hours. if both the taps are opened simultaneously, then after how much time will the cistern get filled ?\nOptions: a. 5.2 hrs, b. 2.9 hrs, c. 12 hrs, d. 7.2 hrs, e. 1.4 hrs", "output": [ "c" ] }, { "id": "task1678-78e14fd3fa244b23b5aaa1e365627e0d", "input": "Problem: seed mixture x is 40 percent ryegrass and 60 percent bluegrass by weight; seed mixture y is 25 percent ryegrass and 75 percent fescue. if a mixture of x and y contains 40 percent ryegrass, what percent of the weight of this mixture is x ?\nOptions: a. 100 %, b. 33.33 %, c. 40 %, d. 50 %, e. 66.66 %", "output": [ "a" ] }, { "id": "task1678-ad15bb26df674b18a4a4393b4708374d", "input": "Problem: a survey of n people in the town of eros found that 50 % of them preferred brand a. another survey of 125 people in the town of angie found that 60 % preferred brand a. in total, 55 % of all the people surveyed together preferred brand a. what is the total number of people surveyed ?\nOptions: a. 50, b. 100, c. 150, d. 200, e. 250", "output": [ "e" ] }, { "id": "task1678-05ee42d4788f4ec294cc59a8b7e75217", "input": "Problem: the operation is defined for all integers a and b by the equation ab = ( a - 1 ) ( b - 1 ). if y 12 = 110, what is the value of y ?\nOptions: a. 11, b. 12, c. 13, d. 15, e. 18", "output": [ "a" ] }, { "id": "task1678-67a9a58bbea447d388ab97cb2c4eb3fc", "input": "Problem: each month a retailer sells 100 identical items. on each item he makes a profit of $ 60 that constitutes 10 % of the item ' s price to the retailer. if the retailer contemplates giving a 5 % discount on the items he sells, what is the least number of items he will have to sell each month to justify the policy of the discount ?\nOptions: a. 191, b. 213, c. 221, d. 223, e. 226", "output": [ "d" ] }, { "id": "task1678-31696f1b53fc4cefaace1933dce7516c", "input": "Problem: a and b go around a circular track of length 200 m on a cycle at speeds of 36 kmph and 72 kmph. after how much time will they meet for the first time at the starting point ?\nOptions: a. 120 sec, b. 198 sec, c. 178 sec, d. 20 sec, e. 276 sec", "output": [ "d" ] }, { "id": "task1678-c38341a63f6248f9a0968366039b58e9", "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": "task1678-0180022a2c9c4a14800474218dacbf4d", "input": "Problem: a man can row 8 kmph in still water. when the river is running at 3 kmph, it takes him 1 hour to row to a place and black. what is the total distance traveled by the man ?\nOptions: a. 5.75, b. 5.7, c. 5.76, d. 5.74, e. 6.8", "output": [ "e" ] }, { "id": "task1678-d0fc82c3f6474613b59ad06b507e8c86", "input": "Problem: the length of a train and that of a platform are equal. if with a speed of 36 k / hr, the train crosses the platform in one minute, then the length of the train ( in meters ) is ?\nOptions: a. 752, b. 799, c. 300, d. 750, e. 712", "output": [ "c" ] }, { "id": "task1678-cc1ffa791be44145ba6dec13b8748b0a", "input": "Problem: the overall age of x and y is 19 year greater than the overall age of y and z. z is how many decades younger that x ?\nOptions: a. 11, b. 15, c. 12, d. 19, e. 20", "output": [ "d" ] }, { "id": "task1678-0a6ed93687ec441da589d8cbc981f389", "input": "Problem: for all real numbers v, an operation is defined by the equation v * = v - v / 3. if ( v * ) * = 16, then v =\nOptions: a. 30, b. 33, c. 36, d. 39, e. 42", "output": [ "c" ] }, { "id": "task1678-19c8aa2546524bca87b96ffb155aa9b4", "input": "Problem: find the perimeter and area of the rectangle of length 11 cm and breadth 9 cm.\nOptions: a. 71 cm 2, b. 99 cm 2, c. 141 cm 2, d. 171 cm 2, e. 221 cm 2", "output": [ "b" ] }, { "id": "task1678-643e33462f4a44c787cf2d890d8d9323", "input": "Problem: a group of men decided to do a work in 55 days, but 15 of them became absent. if the rest of the group did the work in 60 days, find the original number of men ?\nOptions: a. 180, b. 150, c. 140, d. 100, e. 25", "output": [ "a" ] }, { "id": "task1678-66d0385f527d4fd39884a6eb5cc8abb6", "input": "Problem: two trains are moving in the same direction at 108 kmph and 54 kmph. the faster train crosses a man in the slower train in 24 seconds. find the length of the faster train ?\nOptions: a. 320, b. 330, c. 340, d. 350, e. 360", "output": [ "e" ] }, { "id": "task1678-9e75fbcd7d624a65824ac077cdf2103b", "input": "Problem: a student travels from his house to school at 10 km / hr and reaches school 2 hours late. the next day he travels 15 km / hr and reaches school 1 hour early. what is the distance between his house and the school ?\nOptions: a. 60, b. 70, c. 80, d. 90, e. 100", "output": [ "d" ] }, { "id": "task1678-7395287ed174421bb703764543a3a11f", "input": "Problem: a train 250 m long, running with a speed of 50 km / hr will pass a tree in ?\nOptions: a. 18 sec, b. 20 sec, c. 25 sec, d. 30 sec, e. 1 min", "output": [ "a" ] }, { "id": "task1678-dc01b1cbcddc44819f9fec8f7e171f51", "input": "Problem: the length of minute hand of a clock is 5.4 cm. what is the area covered by this in 20 minutes\nOptions: a. 15.27, b. 16.27, c. 17.27, d. 30.54, e. 30.27", "output": [ "d" ] }, { "id": "task1678-3224af7e47104c0a8873bc8899a3716b", "input": "Problem: country x imposes a two - tiered tax on imported cars: the first tier imposes a tax of 25 % of the car ' s price up to a certain price level. if the car ' s price is higher than the first tier ' s level, the tax on the portion of the price that exceeds this value is 15 %. if ron imported a $ 30000 imported car and ended up paying $ 5500 in taxes, what is the first tier ' s price level ?\nOptions: a. $ 10000, b. $ 11000, c. $ 12000, d. $ 10500, e. $ 11500", "output": [ "a" ] }, { "id": "task1678-e0b1567a8cb74cbbbff1415177591d2a", "input": "Problem: in the faculty of reverse - engineering, 230 second year students study numeric methods, 423 second year students study automatic control of airborne vehicles and 134 second year students study them both. how many students are there in the faculty if the second year students are approximately 80 % of the total ?\nOptions: a. 515., b. 545., c. 618., d. 649., e. 666.", "output": [ "d" ] }, { "id": "task1678-294ecea0a5c048c3ae97d24bf0363d18", "input": "Problem: the standard deviation of a normal distribution of data is 2, and 3 standard deviations below the mean is greater than 48. what is a possible value for the mean of the distribution ?\nOptions: a. 46, b. 47, c. 48, d. 55, e. 50", "output": [ "d" ] }, { "id": "task1678-de50db139db24f0195209f6a16adb8ef", "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": "task1678-4ab0574334b34b4f9f36986cc7c26355", "input": "Problem: zachary is helping his younger brother, sterling, learn his multiplication tables. for every question that sterling answers correctly, zachary gives him 3 pieces of candy. for every question that sterling answers incorrectly, zachary takes away two pieces of candy. after 9 questions, if sterling had answered 2 more questions correctly, he would have earned 31 pieces of candy. how many of the 9 questions did zachary answer correctly ?\nOptions: a. 6, b. 7, c. 8, d. 9, e. 10", "output": [ "c" ] }, { "id": "task1678-dde0249e79f34a059c61ce23d826a9f5", "input": "Problem: if the average of 5 positive integers is 60 and the difference between the largest and the smallest of these 5 numbers is 10, what is the maximum value possible for the largest of these 5 integers ?\nOptions: a. 50, b. 52, c. 49, d. 68, e. 74", "output": [ "d" ] }, { "id": "task1678-15259f7108704f92a5dd999f2c3e41c8", "input": "Problem: in a certain company, a third of the workers do not have a retirement plan. 20 % of the workers who do not have a retirement plan are women, and 40 % of the workers who do have a retirement plan are men. if 160 of the workers of that company are men, how many of the workers are women ?\nOptions: a. 80, b. 95, c. 105, d. 120, e. 140", "output": [ "e" ] }, { "id": "task1678-2853143a6e514543b7ff63e2296335f3", "input": "Problem: the cost of a one - family home was $ 120,000 in 1980. in 1988, the price had increased to $ 180,000. what was the percent increase in the cost of the home ?\nOptions: a. 60 %, b. 50 %, c. 55 %, d. 40 %, e. 33.3 %", "output": [ "b" ] }, { "id": "task1678-39ef59bf32294e3ab2ecc2ebc706c986", "input": "Problem: sum of 53 odd numbers is ?\nOptions: a. 2709, b. 2809, c. 2909, d. 3009, e. 3109", "output": [ "b" ] }, { "id": "task1678-70b904709a144da3970ee94e79f37dce", "input": "Problem: find the value of 5 + 2 â € ¢ ( 8 â € “ 3 )\nOptions: a. 25, b. 13, c. 17, d. 24, e. 15", "output": [ "e" ] }, { "id": "task1678-e572f5dbb8224b4099bb498a5d7213a9", "input": "Problem: the mass of 1 cubic meter of a substance is 500 kilograms under certain conditions. what is the volume, in cubic centimeters, of 1 gram of this substance under these conditions ? ( 1 kilogram = 1,000 grams and 1 cubic meter = 1, 000,000 cubic centimeters )\nOptions: a. 0.8, b. 1.25, c. 2.0, d. 2.5, e. 80.0", "output": [ "c" ] }, { "id": "task1678-72e535e6be0d410696ad504674f5d001", "input": "Problem: what least number should be added to 1057, so that the sum is completely divisible by 23\nOptions: a. a. 4, b. b. 1, c. c. 2, d. d. 3, e. e. 5", "output": [ "b" ] }, { "id": "task1678-a8d122680678473ca31153e09edd2a45", "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": "task1678-82429604e3de4169b2e138f9bc2f54d3", "input": "Problem:. in digging a pond 20 m * 10 m * 5 m the volumes of the soil extracted will be ?\nOptions: a. 3323, b. 1000, c. 2877, d. 2992, e. 7111", "output": [ "b" ] }, { "id": "task1678-3838c9e6e78f49139d849cb0cc0b7246", "input": "Problem: when 1 / 20 % of 8,000 is subtracted from 1 / 10 of 8,000, the difference is\nOptions: a. 50, b. 200, c. 380, d. 798, e. 400", "output": [ "d" ] }, { "id": "task1678-2c086d792bd843feac1dc33a65f914d9", "input": "Problem: 35 % of the employees of a company are men. 60 % of the men in the company speak french and 40 % of the employees of the company speak french. what is % of the women in the company who do not speak french ?\nOptions: a. 4 %, b. 10 %, c. 96 %, d. 90.12 %, e. 70.77 %", "output": [ "e" ] }, { "id": "task1678-c082360aeccf44e792ef7558f5137de2", "input": "Problem: how many integers k greater than 100 and less than 700 are there such that if the hundreds and the unit digits of k are reversed, the resulting integer is k + 99 ?\nOptions: a. 50, b. 60, c. 70, d. 80, e. 90", "output": [ "a" ] }, { "id": "task1678-61425d032edb440d9e2a89fe5eec5160", "input": "Problem: a motorcyclist started riding at highway marker a, drove 120 miles to highway marker b, and then, without pausing, continued to highway marker c, where she stopped. the average speed of the motorcyclist, over the course of the entire trip, was 45 miles per hour. if the ride from marker a to marker b lasted 3 times as many hours as the rest of the ride, and the distance from marker b to marker c was half of the distance from marker a to marker b, what was the average speed, in miles per hour, of the motorcyclist while driving from marker b to marker c ?\nOptions: a. 40, b. 45, c. 50, d. 55, e. 60", "output": [ "e" ] }, { "id": "task1678-238ddf3c31d3475aa4c00571f04e0fcb", "input": "Problem: which greatest possible length can be used to measure exactly 15 meter 20 cm, 12 meter 20 cm and 14 meter 20 cm\nOptions: a. 20 cm, b. 25 cm, c. 24 cm, d. 55 cm, e. 30 cm", "output": [ "a" ] }, { "id": "task1678-1922774107e94272acedf58a254f6300", "input": "Problem: dick and jane each saved $ 5,000 in 1989. in 1990 dick saved 10 percent more than in 1989, and together he and jane saved a total of $ 10,000. approximately what percent less did jane save in 1990 than in 1989 ?\nOptions: a. 10 %, b. 15 %, c. 20 %, d. 25 %, e. 30 %", "output": [ "a" ] }, { "id": "task1678-9f52aae6f5e4428383aebce101515773", "input": "Problem: robert ate 7 chocolates, nickel ate 5 chocolates. how many more chocolates did robert ate than nickel ?\nOptions: a. a. 4, b. b. 7, c. c. 9, d. d. 5, e. e. 2", "output": [ "e" ] }, { "id": "task1678-cea95c6ca7654742bba208a433ea7033", "input": "Problem: a small, rectangular park has a perimeter of 560 feet and a diagonal measurement of 600 feet. what is its area, in square feet ?\nOptions: ['a. 172,800', 'b. 19,600', 'c. 20,000', 'd. 20,400', 'e. 20,800']", "output": [ "a" ] }, { "id": "task1678-11e61d34f64b4d3590f13dd3e67dd5b9", "input": "Problem: on dividing 109 by a number, the quotient is 9 and the remainder is 1. find the divisor\nOptions: a. 12, b. 14, c. 18, d. 22, e. 24", "output": [ "a" ] }, { "id": "task1678-dac8ca9dcaa74fc89bbb81b503862275", "input": "Problem: find compound interest on $ 10000 at 15 % per annum for 2 years 4 months, compounded annually.\nOptions: a. 3886.25, b. 3286.25, c. 3186.25, d. 3386.25, e. 3586.25", "output": [ "a" ] }, { "id": "task1678-30fc69c4ea214729ae80dffe78447a0c", "input": "Problem: having received his weekly allowance, john spent 3 / 5 of his allowance at the arcade. the next day he spent one third of his remaining allowance at the toy store, and then spent his last $ 1.28 at the candy store. what is john ’ s weekly allowance ?\nOptions: a. $ 2.40, b. $ 3.00, c. $ 3.20, d. $ 3.60, e. $ 4.80", "output": [ "e" ] }, { "id": "task1678-03df770b0401464cad98c83ce72c00c0", "input": "Problem: what is the range of all the roots of | x ^ 2 - 4 | = x ?\nOptions: a. 4, b. 3, c. 2, d. 1, e. 0", "output": [ "b" ] }, { "id": "task1678-1121e43e92564f9c944f92af02ae604c", "input": "Problem: sides of a rectangular park are in the ratio 3: 2 and its area is 3750 sq m, the cost of fencing it at 60 ps per meter is ?\nOptions: a. 287, b. 369, c. 150, d. 279, e. 361", "output": [ "c" ] }, { "id": "task1678-1f6e1f3a74d747a7abd8b0176d25236a", "input": "Problem: the cost price of a radio is rs. 1680 and it was sold for rs. 1450, find the loss % ?\nOptions: a. 18, b. 13, c. 15, d. 18, e. 41", "output": [ "b" ] }, { "id": "task1678-3e8fd70522664cdc95e1e06ccb6b55fd", "input": "Problem: when positive integer n is divided by positive integer p, the quotient is 18, with a remainder of 7. when n is divided by ( p + 3 ), the quotient is 15 and the remainder is 1. what is the value of n ?\nOptions: a. 151, b. 331, c. 511, d. 691, e. 205", "output": [ "e" ] }, { "id": "task1678-ed82572a00dc49b9b2cf1555684a722f", "input": "Problem: if a person walks at 25 km / hr instead of 10 km / hr, he would have walked 20 km more. the actual distance traveled by him is :\nOptions: a. 50 km, b. 56 km, c. 13.3 km, d. 70 km, e. 80 km", "output": [ "c" ] }, { "id": "task1678-f437dd21f6e24393bca7be6131a2c5d5", "input": "Problem: a big container is 30 % full with water. if 45 liters of water is added, the container becomes 3 / 4 full. what is the capacity of the big container ?\nOptions: a. 36 liters, b. 40 liters, c. 45 liters, d. 54 liters, e. 100 liters", "output": [ "e" ] }, { "id": "task1678-e357c47a64fd45ea866fbe649b11a373", "input": "Problem: 32 % of 1500 is\nOptions: a. 480, b. 440, c. 370, d. 415, e. 435", "output": [ "a" ] }, { "id": "task1678-217b9b7d2760417fb7909cf7cdf6a51d", "input": "Problem: find the smallest number that should be multiplied with 54000 to make it a perfect cube.\nOptions: ['a. 4', 'b. 5', 'c. 6', 'd. 3', 'e. 7']", "output": [ "a" ] }, { "id": "task1678-84190989f46e4f91b543949dc6a9340c", "input": "Problem: a “ palindromic integer ” is an integer that remains the same when its digits are reversed. so, for example, 43334 and 516615 are both examples of palindromic integers. how many 6 - digit palindromic integers are both even and greater than 500000 ?\nOptions: a. 160, b. 200, c. 240, d. 300, e. 480", "output": [ "b" ] }, { "id": "task1678-1c1bc01af1f7426d9b586a725d7777e9", "input": "Problem: the average of 7 numbers is 25. if each number be multiplied by 5. find the average of new set of numbers ?\nOptions: a. a. 110, b. b. 122, c. c. 120, d. d. 125, e. e. 145", "output": [ "d" ] }, { "id": "task1678-18bf3edb7ca3408abdde9a250b1c6154", "input": "Problem: a 90 cm long wire is to be cut into two pieces so that one piece will be 2 / 5 th of the other, how many centimeters will the shorter piece be ?\nOptions: a. 25, b. 20, c. 47, d. 36, e. 30", "output": [ "a" ] }, { "id": "task1678-4ddd47b594354bc6a56876b8529aad9d", "input": "Problem: there are cats got together and decided to kill the mice of 999964. each cat kills equal number of mice and each cat kills more number of mice than cats there were. then what are the number of cats ?\nOptions: a. 941,1009, b. 991,1001, c. 991,1009, d. 791,1009, e. 994,1006", "output": [ "e" ] }, { "id": "task1678-9fff7d2d6d654ebcad5ce1d921ac5048", "input": "Problem: what is the remainder when you divide 2 ^ 200 - 1 by 7 ?\nOptions: a. 1, b. 2, c. 3, d. 4, e. 5", "output": [ "c" ] }, { "id": "task1678-e484615ef8364c71b5eff0d798dfb5b2", "input": "Problem: a courtyard is 25 meter long and 16 meter board is to be paved with bricks of dimensions 20 cm by 10 cm. the total number of bricks required is :\nOptions: a. 16000, b. 18000, c. 20000, d. 22000, e. none of these", "output": [ "c" ] }, { "id": "task1678-d9fec242f3da40fe8633d162b3c792c8", "input": "Problem: find the principle on a certain sum of money at 5 % per annum for 2 2 / 5 years if the amount being rs. 1008 ?\nOptions: a. 900, b. 2217, c. 2889, d. 2777, e. 2991", "output": [ "a" ] }, { "id": "task1678-8d794bff2c3349e0996a85c1eb35450a", "input": "Problem: if a sum of money doubles itself in 20 years at simple interest, the ratepercent per annum is\nOptions: a. 12, b. 12.5, c. 13, d. 5, e. 14", "output": [ "d" ] }, { "id": "task1678-38f6f9383c924b858fd040c4e7742646", "input": "Problem: what is the greatest integer m for which the number 50 ! / 10 ^ m is an integer ?\nOptions: a. 5, b. 8, c. 10, d. 11, e. 12", "output": [ "e" ] }, { "id": "task1678-bb2f37e374d54d9fbfd26f5d22dde592", "input": "Problem: at joes steakhouse the hourly wage for a chef is 20 % greater than that of a dishwasher, and the hourly wage of a dishwasher is half as much as the hourly wage of a manager. if a managers wage is $ 7.50 per hour, how much less than a manager does a chef earn each hour ?\nOptions: a. $ 1.40, b. $ 3, c. $ 3.40, d. $ 4.40, e. $ 5.40", "output": [ "b" ] }, { "id": "task1678-7f662e8d004f429184e19d74924229ca", "input": "Problem: a person incurs a loss of 5 % be selling a watch for rs. 1140. at what price should the watch be sold to earn 5 % profit\nOptions: a. rs. 1200, b. rs. 1230, c. rs. 1260, d. rs. 1290, e. none of these", "output": [ "c" ] }, { "id": "task1678-211297f910eb4ed4964c5fcd7eded020", "input": "Problem: a train is 400 meter long is running at a speed of 60 km / hour. in what time will it pass a signal post ?\nOptions: a. 28 seconds, b. 30 seconds, c. 40 seconds, d. 24 seconds, e. 18 seconds", "output": [ "d" ] }, { "id": "task1678-ee5dcae3dbaf45b9abad99cb4990f79a", "input": "Problem: the average of first 10 natural numbers is ?\nOptions: a. 5.6, b. 5.5, c. 5.1, d. 5.8, e. 5.2", "output": [ "b" ] }, { "id": "task1678-a2463997027f41dd8ba56cb0f0dd6a96", "input": "Problem: if a / b = 4 / 5, then ( 5 a - 3 b. / ( 5 a + 3 b. = ?\nOptions: a. 4, b. 2 / 3, c. 3, d. 1, e. 1 / 7", "output": [ "e" ] }, { "id": "task1678-60843215d7a14bfb8ea1c893b76abf72", "input": "Problem: how long does a train 105 m long running at the speed of 68 km / hr takes to cross a bridge 90 m length ?\nOptions: a. 13.9 sec, b. 10.7 sec, c. 17.9 sec, d. 61.9 sec, e. 47.98 sec", "output": [ "b" ] }, { "id": "task1678-e96ad1f358dd428d810879a7e2254c74", "input": "Problem: there are 6 people in the elevator. their average weight is 152 lbs. another person enters the elevator, and increases the average weight to 151 lbs. what is the weight of the 7 th person.\nOptions: a. 145, b. 168, c. 189, d. 190, e. 200", "output": [ "a" ] }, { "id": "task1678-364bd74cecd44be4a436ce47c47e6bae", "input": "Problem: ms. lopez deposits $ 150 in an account that pays 20 % interest, compounded semiannually. how much money will there be in the account at the end of one year ?\nOptions: a. $ 118.00, b. $ 120.00, c. $ 181.15, d. $ 122.00, e. $ 140.00", "output": [ "c" ] }, { "id": "task1678-c0f6d4e011724eff9f57591b7a7a85be", "input": "Problem: a, b, c can complete a piece of work in 25, 5,10 days. working together, they complete the same work in how many days ?\nOptions: a. 2, b. 4 / 5, c. 50 / 17, d. 10, e. 24 / 7", "output": [ "c" ] }, { "id": "task1678-c34ce4d3d8504d38a3791ec9e6f6af63", "input": "Problem: how much is 70 % of 40 is greater than 4 / 5 of 25 ?\nOptions: a. 22, b. 67, c. 88, d. 12, e. 8", "output": [ "e" ] }, { "id": "task1678-4370224c922a49759d6df1d68a45c848", "input": "Problem: one man adds 3 liters of water to 12 liters of milk and another 4 liters of water to 10 liters of milk. what is the ratio of the strengths of milk in 2 mixtures ?\nOptions: a. 11: 21, b. 15: 33, c. 28: 25, d. 3: 2, e. 31: 33", "output": [ "c" ] }, { "id": "task1678-0951a4d803f9480fbd3fb0e728a2ab1d", "input": "Problem: 27 is a perfect cube. when x is added to the prime factor of 27, the result is a prime number. what is x ?\nOptions: a. 1, b. 3, c. 5, d. 8, e. 11", "output": [ "d" ] }, { "id": "task1678-3cc08192dd564411a4f7ee62f80b5933", "input": "Problem: a part - time employee ’ s hourly wage was increased by 10 %. she decided to decrease the number of hours worked per week so that her total income did not change. by approximately what percent should the number of hours worked be decreased ?\nOptions: a. 9 %, b. 15 %, c. 25 %, d. 50 %, e. 100 %", "output": [ "a" ] }, { "id": "task1678-6ff08332fcfa4d9f80ffb78d20bbf01b", "input": "Problem: the price of stock decreased by 5 % last year and rose by 10 % this year. what is the net percentage change in the price of the stock ?\nOptions: a. 0.2 %, b. 0.8 %, c. 1.2 %, d. 1.6 %, e. 4.5 %", "output": [ "e" ] }, { "id": "task1678-918cc0b024184ca3b722b24d11243453", "input": "Problem: the speed of a subway train is represented by the equation z = s ^ 2 + 2 s for all situations where 0 ≤ s ≤ 7, where z is the rate of speed in kilometers per hour and s is the time in seconds from the moment the train starts moving. in kilometers per hour, how much faster is the subway train moving after 7 seconds than it was moving after 5 seconds ?\nOptions: a. 4, b. 28, c. 15, d. 48, e. 63", "output": [ "b" ] }, { "id": "task1678-15891e1ce49340bdbb7dbead2f0c26cd", "input": "Problem: a soccer team played 280 games and won 65 percent of them. how many games did it win ?\nOptions: a. 182, b. 100, c. 104, d. 150, e. 124", "output": [ "a" ] }, { "id": "task1678-188e95fd5c684988afe892f2a4001aa0", "input": "Problem: the difference between two numbers is 2395. when the larger number is divided by the smaller one, the quotient is 6 and the remainder is 15. the smaller number is\nOptions: a. 120, b. 239, c. 476, d. 523, e. 526", "output": [ "c" ] }, { "id": "task1678-0b7df242457345b9943f16ac714c182f", "input": "Problem: right triangle xyzs the base of the prism in the figure above. if xy = xz = â ˆ š 9 and the height of the prism is 6, what is the volume of the prism ?\nOptions: ['a. 3', 'b. 27', 'c. 13', 'd. 12', 'e. 15']", "output": [ "b" ] }, { "id": "task1678-f7d649471bce4426aff301c3e422105c", "input": "Problem: on dividing 22 by a number, the quotient is 7 and the remainder is 1. find the divisor.\nOptions: a. 1, b. 2, c. 3, d. 6, e. 7", "output": [ "c" ] }, { "id": "task1678-c45b282529134db2b99b8125fc88bb43", "input": "Problem: the smallest number which when diminished by 5, is divisible by 12, 16, 18, 21 and 28 is\nOptions: a. 1008, b. 1013, c. 1022, d. 1032, e. 1043", "output": [ "b" ] }, { "id": "task1678-497b32cfda1549bd8deb6a03c274302b", "input": "Problem: the ratio between x and y is 7 / 5; x is multiplied by y and y is multiplied by x, what is the ratio between the new values of x and y ?\nOptions: a. 7 / 5, b. 5 / 7, c. 1, d. 49 / 25, e. it can not be determined", "output": [ "c" ] }, { "id": "task1678-5d692d06c0f04cdd92707a53e18be91a", "input": "Problem: when x is multiplied by 3, the result is 14 more than the result of subtracting x from 26. what is the value of x ?\nOptions: a. 10, b. - 2, c. 11, d. 13, e. 22", "output": [ "a" ] }, { "id": "task1678-638885ded96f46e5a4b0ec35bc08ae7c", "input": "Problem: raman, lakshmi and muthu enter into partnership. raman invests some money at the beginning, lakshmi invests double the amount after 6 months, and muthu invests thrice the amount after 8 months. if the annual gain be rs. 36000. lakshmi ' s share is ?\nOptions: a. 12000, b. 14000, c. 8000, d. 5000, e. 3000", "output": [ "a" ] }, { "id": "task1678-68e9071838f14496ada32cfdd727eea9", "input": "Problem: in a house a hall is 20 m long, 15 m wide and 5 m high. its interior has to be covered with mat. what will be the total expenditure if it costs rs. 10 per square m ?\nOptions: a. s. 9500, b. s. 50000, c. s. 57000, d. s. 60000, e. s. 62000", "output": [ "a" ] }, { "id": "task1678-3d49c51fca0349c7bfa1f402a617bd5b", "input": "Problem: how many multiples of 4 are less than 6540, and also multiples of 7 ?\nOptions: a. 234, b. 208, c. 340, d. 237, e. 267", "output": [ "a" ] }, { "id": "task1678-e7eb254d6bd24ef0b6be8e307ba5212d", "input": "Problem: 31 of the scientists that attended a certain workshop were wolf prize laureates, and 18 of these 31 were also nobel prize laureates. of the scientists that attended that workshop and had not received the wolf prize, the number of scientists that had received the nobel prize was 3 greater than the number of scientists that had not received the nobel prize. if 50 of the scientists attended that workshop, how many of them were nobel prize laureates ?\nOptions: a. a. 11, b. b. 18, c. c. 24, d. d. 29, e. d. 36", "output": [ "d" ] }, { "id": "task1678-e7699428298f42e9b9c7062e01f07ff1", "input": "Problem: if 4 men can colour 48 m long cloth in 2 days, then 2 men can colour 36 m long cloth in\nOptions: a. 1 day, b. 2 days, c. 3 days, d. 4 days, e. 5 days", "output": [ "c" ] }, { "id": "task1678-f91b383dbe8449d38674d2216fd03a8e", "input": "Problem: how many integers between 324,700 and 458,600 have tens digit 1 and units digit 3 ?\nOptions: a. 10,300, b. 10,030, c. 1,353, d. 1,352, e. 1,339", "output": [ "e" ] }, { "id": "task1678-8d3013cba576486e866dc00b01872279", "input": "Problem: a library has an average of 540 visitors on sundays and 240 on other days. the average number of visitors per day in a month of 30 days beginning with a sunday is :\nOptions: a. 300, b. 276, c. 290, d. 285, e. none", "output": [ "c" ] }, { "id": "task1678-49941c3dab2d466b875db765d239fa27", "input": "Problem: on the number line, the number p is twice as many units from - 2 as - 2 is from 5. if p is less than – 2, what is the value of p ?\nOptions: a. – 16, b. – 10, c. – 6, d. 10, e. 14", "output": [ "a" ] }, { "id": "task1678-6bc542e8f19b4d0aa959c99e8d4e5cac", "input": "Problem: when sold at a 70 % discount, a sweater nets the merchant a 40 % profit on the wholesale cost at which he initially purchased the item. by what % is the sweater marked up from wholesale at its normal retail price ?\nOptions: a. 20 %, b. 40 %, c. 50 %, d. 60 %, e. 78.58 %", "output": [ "e" ] }, { "id": "task1678-b2e62700973a4d7e946cebe9fe954c0d", "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": "task1678-55e840da2e8840d285811ee5035fe7dd", "input": "Problem: the total age of a and b is 12 years more than the total age of b and c. c is how many year younger than a\nOptions: a. 11, b. 12, c. 13, d. 14, e. 15", "output": [ "b" ] }, { "id": "task1678-5dd47546a72d4e289bb73d76ccd18f49", "input": "Problem: if the diameter of circle r is 40 % of the diameter of circle s, the area of circle r is what percent of the area of circle s ?\nOptions: a. 16 %, b. 18 %, c. 20 %, d. 22 %, e. 24 %", "output": [ "a" ] }, { "id": "task1678-3bd4cef4a3b948d39efeb80a089be8c7", "input": "Problem: if n is a positive integer and n ^ 2 is divisible by 72, then the largest positive integer v that must divide n is ?\nOptions: a. 6, b. 12, c. 24, d. 36, e. 48", "output": [ "b" ] }, { "id": "task1678-ab787769a2e84496a12450359b369c96", "input": "Problem: mary can do a piece of work in 26 days. rosy is 30 % more efficient than mary. the number of days taken by rosy to do the same piece of work is ?\nOptions: a. 22, b. 20, c. 24, d. 26, e. 30", "output": [ "b" ] }, { "id": "task1678-00d72a0ad0474427a5899a7050016dd7", "input": "Problem: if 2 ^ 4, 3 ^ 3, and 13 ^ 3 are factors of the product of 1,452 and w, where w is a positive integer, what is the smallest possible value of w ?\nOptions: a. 198, b. 288, c. 363, d. 396, e. 468", "output": [ "e" ] }, { "id": "task1678-3b22762244ac4d1f9e63586097c9c765", "input": "Problem: during a certain two - week period, 58 percent of the movies rented from a video store were comedies, and of the remaining movies rented, there were 5 times as many dramas as action movies. if no other movies were rented during that two - week period and there were a action movies rented, then how many comedies, in terms of a, were rented during that two - week period ?\nOptions: a. 10 a, b. 9 a, c. 8 2 / 3 a, d. 11 a, e. 12 a", "output": [ "c" ] }, { "id": "task1678-2354437526524a2d8a0697fdc9807a24", "input": "Problem: a student has to obtain 33 % of the total marks to pass. he got 175 marks and failed by 56 marks. the maximum marks are ?\nOptions: a. 450, b. 300, c. 500, d. 610, e. 700", "output": [ "e" ] }, { "id": "task1678-46f6c12543c24038b204b03fb3ae1d0e", "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": "task1678-6d4b18720f754b96af57559a6c3ee15a", "input": "Problem: the maximum number of student amoung them 1001 pens and 910 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is :\nOptions: a. 91, b. 910, c. 1001, d. 1911, e. none of these", "output": [ "a" ] }, { "id": "task1678-93877d488e584aa4afb1e0a2c4ccc65a", "input": "Problem: a class of 20 students took a science test. 10 students had an average ( arithmetic mean ) score of 80. the other students had an average score of 60. what is the average score of the whole class ?\nOptions: a. 70, b. 60, c. 55, d. 65, e. 85", "output": [ "a" ] }, { "id": "task1678-078dc71d3e0f47d6b474ccb1ee8c84b0", "input": "Problem: if x is invested in a bank at a rate of simple interest of y % p. a. for two years, then the interest earned is 900. if x is invested at y % p. a., for two years when the interest is compounded annually, the interest is 922.50. what is the value of x ?\nOptions: a. 9000, b. 6000, c. 5000, d. 4000, e. 3000", "output": [ "a" ] }, { "id": "task1678-c9b29e19b8f04cf18d4e8391758ab7ab", "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": "task1678-0b68d805bfb6448eb7a3aeaa4d60c068", "input": "Problem: the number of boxes in a warehouse can be divided evenly into 7 equal shipments by boat or 28 equal shipments by truck. what is the smallest number of boxes that could be in the warehouse ?\nOptions: a. 28, b. 33, c. 54, d. 81, e. 162", "output": [ "a" ] }, { "id": "task1678-eaabe18300eb4c128271746081b1b831", "input": "Problem: in what time will a railway train 50 m long moving at the rate of 36 kmph pass a telegraph post on its way ?\nOptions: a. 5 sec, b. 4 sec, c. 3 sec, d. 6 sec, e. 1 sec", "output": [ "a" ] }, { "id": "task1678-008e66ae23d6471caf9827e7568a0341", "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": "task1678-79ca2c4116b040aaa5d8a4121319ee10", "input": "Problem: in the first 10 overs of a cricket game, the run rate was only 3.2. what should be the run rate in the remaining 22 overs to reach the target of 282 runs ?\nOptions: a. 6.25, b. 11.36, c. 7.4, d. 5, e. 6", "output": [ "b" ] }, { "id": "task1678-053b4a16649a4bff9248fa9e80a5d6f1", "input": "Problem: x varies inversely as square of y. given that y = 3 for x = 1. the value of x for y = 9 will be equal to :\nOptions: a. 3, b. 6, c. 1 / 9, d. 1 / 3, e. 9", "output": [ "c" ] }, { "id": "task1678-d5e64ef148b6481aa2ad8ba567d75233", "input": "Problem: a train running at the speed of 90 km / hr crosses a pole in 5 seconds. find the length of the train.\nOptions: a. 150 meter, b. 145 meter, c. 140 meter, d. 125 meter, e. none of these", "output": [ "d" ] }, { "id": "task1678-a7452236c7cf4441a27bb8aab8c035e4", "input": "Problem: find the mean proportional between 64 & 81 ?\nOptions: a. a. 59, b. b. 61, c. c. 63, d. d. 72, e. e. 67", "output": [ "d" ] }, { "id": "task1678-b48250ae83964ea390460c4821158003", "input": "Problem: if ( a + b. = 12, ( b + c. = 9 and ( c + d. = 3, what is the value of ( a + d. ?\nOptions: a. 16., b. 8., c. 7., d. 6., e. - 2.", "output": [ "d" ] }, { "id": "task1678-a3105faf10084246bb468c54fdbf22a7", "input": "Problem: if the area of a circle is 64 pi square feet, find its circumference.\nOptions: a. 65 pi feet, b. 43 pi feet, c. 42 pi feet, d. 18 pi feet, e. 16 pi feet", "output": [ "e" ] }, { "id": "task1678-bcc2560887b14d3389a781ffdc4742d1", "input": "Problem: what is the lowest positive integer that is divisible by each of the integers 1 through 8 inclusive ?\nOptions: a. 420, b. 840, c. 1260, d. 2520, e. 5020", "output": [ "b" ] }, { "id": "task1678-92012e36bead4f03992920da4d4ddde8", "input": "Problem: what is the perimeter of an isosceles right angled triangle. the area of the isosceles right angled triangle is 50.\nOptions: ['a. 25', 'b. 36', 'c. 25', 'd. 30', 'e. 34.14']", "output": [ "e" ] }, { "id": "task1678-5ac9bde72c3d4916a2c9d8ca5797bf83", "input": "Problem: here 10 programmers, type 10 lines within 10 minutes then 60 lines can type within 60 minutes. how many programmers are needed ?\nOptions: a. 16, b. 10, c. 6, d. 60, e. 50", "output": [ "d" ] }, { "id": "task1678-8a9e1b9e08324c7697333769f7afa495", "input": "Problem: in a certain business school class, p students are accounting majors, q students are finance majors, r students are marketing majors, and s students are strategy majors. if pqrs = 1365, and if 1 < p < q < r < s, how many students in the class are strategy majors ?\nOptions: a. 3, b. 5, c. 8, d. 11, e. 13", "output": [ "e" ] }, { "id": "task1678-a36351fa7968443f823b768e9d89d2cf", "input": "Problem: in a store, the total price for 25 shirts is $ 400 and the total price for 75 sweaters is $ 1500. by how much does the average ( arithmetic mean ) price of a sweater exceed that of a shirt in this store ?\nOptions: a. $ 1, b. $ 2, c. $ 3, d. $ 4, e. $ 5", "output": [ "d" ] }, { "id": "task1678-f14d878bb0cf4368a33af82b8c3adf8e", "input": "Problem: jamshid can paint a fence in 50 percent less time than taimour can when each works alone. when they work together, they can paint the fence in 6 hours. how long would it take taimour to paint the fence alone ?\nOptions: a. 6 hours, b. 8 hours, c. 18 hours, d. 24 hours, e. 32 hours", "output": [ "c" ] }, { "id": "task1678-812364c4f76c4de395be7a2e31197210", "input": "Problem: if the least common multiple of two prime numbers x and y is 10, where x < y, then the value of 3 x + y is\nOptions: a. 7, b. 9, c. 11, d. 12, e. 21", "output": [ "c" ] }, { "id": "task1678-6c292f24f86c4dd98ea161baa75bd5f6", "input": "Problem: if x is invested in a bank at a rate of simple interest of y % p. a. for two years, then the interest earned is 800. if x is invested at y % p. a., for two years when the interest is compounded annually, the interest is 820. what is the value of x ?\nOptions: a. 8000, b. 6000, c. 5000, d. 4000, e. 3000", "output": [ "a" ] }, { "id": "task1678-459e27359047475fa55a848838414c75", "input": "Problem: i had 30 donuts when i left home this morning but only 9 when i came back home. what percentage of the donuts are missing ?\nOptions: a. 70, b. 65, c. 55, d. 75, e. 60", "output": [ "a" ] }, { "id": "task1678-fdd6d5c188c745abbbe7f9fd4cce3803", "input": "Problem: a semicircle has a radius of 10. what is the approximate perimeter of the semicircle ?\nOptions: a. 27, b. 33, c. 39, d. 45, e. 51", "output": [ "e" ] }, { "id": "task1678-e698eea2f36e43fc9be0e8a33f3dfc9a", "input": "Problem: find the average of the first 19 natural numbers ?\nOptions: a. 8, b. 9, c. 10, d. 11, e. 12", "output": [ "c" ] }, { "id": "task1678-337a83c0dc9d423a9e4e53cad953b0b8", "input": "Problem: if the remainder is 11 when positive integer n is divided by 18, what is the remainder when n is divided by 9 ?\nOptions: a. 0, b. 2, c. 1, d. 3, e. 4", "output": [ "b" ] }, { "id": "task1678-59138a9aae6643b39e67805a0e465657", "input": "Problem: in a certain game, a large bag is filled with blue, green, purple and red chips worth 1, 5, x and 11 points each, respectively. the purple chips are worth more than the green chips, but less than the red chips. a certain number of chips are then selected from the bag. if the product of the point values of the selected chips is 88,000, how many purple chips were selected ?\nOptions: a. 1, b. 2, c. 3, d. 4, e. 5", "output": [ "b" ] }, { "id": "task1678-bae46bc2ec6743deac37637a11034161", "input": "Problem: if n = 16 × 10 ^ ( - p ) and − 4 < p < 4, how many different integer values of p will make n a perfect square ?\nOptions: a. 0, b. 2, c. 3, d. 5, e. 7", "output": [ "c" ] }, { "id": "task1678-c83fa0603e0241ff92e20a44649b11f1", "input": "Problem: in 10 years, a will be twice as old as b was 10 years ago. if a is now 9 years older than b the present age of b is\nOptions: a. 37, b. 38, c. 39, d. 40, e. 41", "output": [ "c" ] }, { "id": "task1678-e9f94712229c41db80b2947e98e4ab40", "input": "Problem: a reduction of 15 % in the price of salt enables a lady to obtain 10 kgs more for rs. 100, find the original price per kg ?\nOptions: a. 2.8, b. 2.3, c. 1.8, d. 2.1, e. 2.9", "output": [ "c" ] }, { "id": "task1678-3f5d0a28a9d94a8cb64ac875f7a88b88", "input": "Problem: on the first of the year, james invested x dollars at proudstar bank in an account that yields 2.5 % in interest every quarter year. at the end of the year, during which he made no additional deposits or withdrawals, he had y dollars in the account. if james had invested the same amount in an account which pays interest on a yearly basis, what must the interest rate be for james to have y dollars at the end of the year ?\nOptions: a. 22.04 %, b. 16.12 %, c. 8 %, d. 18.25 %, e. 10.5 %", "output": [ "e" ] }, { "id": "task1678-d34dafe10642416396051e4d9814b115", "input": "Problem: a train which has 250 m long, is running 40 kmph. in what time will it cross a person moving at 4 kmph in same direction ?\nOptions: a. 30 sec, b. 28 sec, c. 29 sec, d. 35 sec, e. 25 sec", "output": [ "e" ] }, { "id": "task1678-eb7b14a182984f2fa908daa29ce454bc", "input": "Problem: two tains of equal lengths take 10 seconds and 15 seconds respectively to cross a telegraph post. if the length of each train be 120 metres, in what time ( in seconds ) will they cross each other travelling in opposite direction ?\nOptions: a. 12, b. 14, c. 16, d. 20, e. 18", "output": [ "a" ] }, { "id": "task1678-5c1d16992c9c4d25aaa3548329360f83", "input": "Problem: if x is a positive number and 2 the square root of x is equal to x / 2, then x =\nOptions: a. 1 / 16, b. 4, c. 1, d. 2, e. 8", "output": [ "c" ] }, { "id": "task1678-4618ea3c2cde4ec786c0d0e4a4f03f82", "input": "Problem: two trains of length 100 m and 200 m are 100.00001 m apart. they start moving towards each other on parallel tracks, at speeds 108 kmph and 72 kmph. in how much time will the trains cross each other ?\nOptions: a. 8, b. 7, c. 9, d. 2, e. 1", "output": [ "a" ] }, { "id": "task1678-54f455961b8c4aa384f0b542fde8093d", "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": "task1678-6b6922e4d55146b2a5384d7ca2701834", "input": "Problem: if a ( a + 2 ) = 48 and b ( b + 2 ) = 48, where a ≠ b, then a + b =\nOptions: a. - 10, b. - 9, c. - 5, d. - 4, e. - 2", "output": [ "b" ] }, { "id": "task1678-e13e09885e7843d8ac0078c4fe2af613", "input": "Problem: an article with cost price of 240 is sold at 20 % profit. what is the selling price ?\nOptions: a. 288, b. 200, c. 204, d. 207, e. 210", "output": [ "a" ] }, { "id": "task1678-c36c1ce754d048a7b6b80c87b113a653", "input": "Problem: how many seconds will it take for a car that is traveling at a constant rate of 120 miles per hour to travel a distance of 77 yards ? ( 1 mile = 1,160 yards )\nOptions: a. 1.25, b. 1.31, c. 1.58, d. 1.87, e. 2.3", "output": [ "b" ] }, { "id": "task1678-f1642399f19049e88083f0b7dc93f40e", "input": "Problem: a box contains 100 balls, numbered from 1 to 100. if 3 balls are selected at random and with replacement from the box. if the 3 numbers on the balls selected contain two odd and one even. what is the probability r that the first ball picked up is odd numbered ?\nOptions: a. 0, b. 1 / 3, c. 1 / 2, d. 2 / 3, e. 1", "output": [ "d" ] }, { "id": "task1678-0f82f4caeb3d4241a326a12b9cf51a66", "input": "Problem: a store reported total sales of $ 460 million for february of this year. if the total sales for the same month last year was $ 320 million, approximately what was the percent increase in sales ?\nOptions: a. 2 %, b. 17 %, c. 44 %, d. 65 %, e. 83 %", "output": [ "c" ] }, { "id": "task1678-1867790ea224482985c9c108e5fb4722", "input": "Problem: water boils at 212 ° f or 100 ° c and ice melts at 32 ° f or 0 ° c. if the temperature of a pot of water is 55 ° c, what is the temperature of the pot of water in ° f ?\nOptions: a. 116 ° f, b. 125 ° f, c. 131 ° f, d. 138 ° f, e. 145 ° f", "output": [ "c" ] }, { "id": "task1678-ff8f0d3fc79748dea026da47b5520054", "input": "Problem: what distance will be covered by a bus moving at 126 kmph in 10 seconds ?\nOptions: a. 287, b. 600, c. 350, d. 276, e. 207", "output": [ "c" ] }, { "id": "task1678-a6d20ed10a4b4b1f9a7a988d58a656bf", "input": "Problem: the dimensions of a room are 10 m x 7 m x 5 m. there are 2 doors and 3 windows in the room. the dimensions of the doors are 1 m x 3 m. one window is of size 2 m x 1.5 m and the other 2 windows are of size 1 m x 1.5 m. the cost of painting the walls at rs. 3 per sq m is\nOptions: a. 2488, b. 378, c. 739, d. 474, e. 291", "output": [ "d" ] }, { "id": "task1678-e2fbc1321f0a4a30b08ec875bc127f01", "input": "Problem: o ( x ) represents the least odd integer greater than x, whereas o ( x ) represents the greatest odd integer less than x. likewise, e ( x ) represents the least even integer greater than x, whereas e ( x ) represents the greatest even integer less than x. according to these definitions, the value of o ( 5.3 ) + e ( – 6.7 ) + o ( – 7.3 ) + e ( 6.6 ) is :\nOptions: a. - 4, b. - 2, c. 0, d. 2, e. 4", "output": [ "b" ] }, { "id": "task1678-f50d30ac6d41412480d420ccfd1eb1a1", "input": "Problem: a quadratic function f ( x ) attains a maximum of 3 at x = 1. the value of the function at x = 0 is 1. what is the value of f ( x ) at x = 10 ?\nOptions: a. - 119, b. - 159, c. - 110, d. - 180, e. - 105", "output": [ "b" ] }, { "id": "task1678-5adf3cd7261a4f69a68ea69f31d72cb2", "input": "Problem: in a certain company, a third of the workers do not have a retirement plan. 40 % of the workers who do not have a retirement plan are women, and 40 % of the workers who do have a retirement plan are men. if 120 of the workers of that company are men, how many of the workers are women ?\nOptions: a. 80, b. 95, c. 105, d. 120, e. 137", "output": [ "e" ] }, { "id": "task1678-a8005a8dd610426eb935b1d9b440e104", "input": "Problem: the credit card and a global payment processing companies have been suffering losses for some time now. a well known company recently announced its quarterly results. according to the results, the revenue fell to $ 48.0 billion from $ 72.0 billion, a year ago. by what percent did the revenue fall ?\nOptions: a. 20.8, b. 30.4, c. 31.8, d. 32.5, e. 33.3", "output": [ "e" ] }, { "id": "task1678-d99d1186c45c4f2893ba3770f75f25c3", "input": "Problem: a trader bought a car at 10 % discount on its original price. he sold it at a 80 % increase on the price he bought it. what percent of profit did he make on the original price ?\nOptions: a. 17 %, b. 62 %, c. 12 %, d. 19 %, e. 22 %", "output": [ "b" ] }, { "id": "task1678-29b512245955480ba85b3c1d914ea3aa", "input": "Problem: sue ' s trail mix is 30 % nuts and 70 % dried fruit. jane ' s trail mix is 60 % nuts and 40 % chocolate chips. if the combined mixture of sue and jane ' s trails mix contains 40 % nuts, what percent of the combined mixture is dried fruit ?\nOptions: a. 16.7 %, b. 23.33 %, c. 25 %, d. 33.3 %, e. 46.7 %", "output": [ "e" ] }, { "id": "task1678-f16dd6e824934a48a8c747e8ba9b0d35", "input": "Problem: a man buys a cycle for rs. 2800 and sells it at a loss of 25 %. what is the selling price of the cycle ?\nOptions: a. s. 2090, b. s. 2160, c. s. 2100, d. s. 2202, e. s. 2092", "output": [ "c" ] }, { "id": "task1678-daab4c53f83d4e7398f4c3e34a269679", "input": "Problem: if 42.12 = k ( 14 + m / 50 ), where k and m are positive integers and m < 50, then what is the value of k + m ?\nOptions: a. 5, b. 7, c. 8, d. 9, e. 10", "output": [ "a" ] }, { "id": "task1678-6d3ff2eb220f44589c02a35633607223", "input": "Problem: the ratio of a to b is 4 to 5, where a and b are positive. if x equals a increased by 25 percent of a, and m equals b decreased by 40 percent of b, what is the value of m / x ?\nOptions: a. 2 / 5, b. 3 / 4, c. 4 / 5, d. 5 / 4, e. 3 / 5", "output": [ "e" ] }, { "id": "task1678-0a81f350898e4187b0c7b77cc70db7e4", "input": "Problem: a, b and c rents a pasture for rs. 730. a put in 12 horses for 8 months, b 16 horses for 9 months and 18 horses for 6 months. how much should c pay ?\nOptions: a. 270, b. 199, c. 676, d. 156, e. 227", "output": [ "e" ] }, { "id": "task1678-80b5be5909f74e0ca817ab509b95349e", "input": "Problem: the area of a triangle is with base 10 m and height 5 m ?\nOptions: a. 11, b. 25, c. 787, d. 122, e. 12", "output": [ "b" ] }, { "id": "task1678-1af826045db94c4da466e2e8013a6266", "input": "Problem: a certain fraction is equivalent to 2 / 5. if the numerator of the fraction is increased by 4 and the denominator is doubled, the new fraction is equivalent to 1 / 4. what is the sum of the numerator and denominator of the original fraction ?\nOptions: a. 49, b. 35, c. 56, d. 26, e. 21", "output": [ "c" ] }, { "id": "task1678-bffe8bbef659476e8c137736e74a3d86", "input": "Problem: how many diagonals does a polygon with 13 sides have, if one of its vertices does not connect to any diagonal ?\nOptions: a. 65, b. 62, c. 58, d. 54, e. 60", "output": [ "d" ] }, { "id": "task1678-c56df434780442c8bb8127f8bae2ac1b", "input": "Problem: a car averages 30 miles per hour for the first 5 hours of a trip and averages 42 miles per hour for each additional hour of travel time. if the average speed for the entire trip is 38 miles per hour, how many hours long is the trip ?\nOptions: a. 13, b. 14, c. 15, d. 16, e. 17", "output": [ "c" ] }, { "id": "task1678-e911fb0bd6f14ca392803456bad1d05f", "input": "Problem: in a certain country 1 / 5 of 8 = 4. assuming the same proportion, what would be the value of 1 / 4 of 16 ?\nOptions: a. 13, b. 12, c. 10, d. 16, e. 14", "output": [ "c" ] }, { "id": "task1678-dd989fde55be42e3bf266b97c67785a7", "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": "task1678-5b83032318294528a06f18deff740667", "input": "Problem: a can do a piece of work in 4 days. b can do it in 10 days. with the assistance of c they completed the work in 2 days. find in how many days can c alone do it ?\nOptions: a. 22 days, b. 20 / 3 days, c. 67 days, d. 17 / 6 days, e. 18 days", "output": [ "b" ] }, { "id": "task1678-211579ef45564f1995ec3b34a7ff4c45", "input": "Problem: a and b invests rs. 1500 and rs. 4000 respectively in a business. if a doubles his capital after 6 months. in what ratio should a and b divide that year ' s profit ?\nOptions: a. 9: 5, b. 9: 8, c. 9: 2, d. 9: 9, e. 9: 16", "output": [ "e" ] }, { "id": "task1678-543137eb7ca54d83a537ceac96600a4d", "input": "Problem: the length of a rectangular garden is 2 feet longer than 3 times its width. if the perimeter of the garden is 100 feet, find the length of the garden.\nOptions: ['a. 42', 'b. 38', 'c. 28', 'd. 57', 'e. 49']", "output": [ "b" ] }, { "id": "task1678-a58fd8c3374a4e8fac4a5bb8dc94577d", "input": "Problem: calculate 24 x 99\nOptions: a. 2673, b. 2763, c. 2637, d. 2736, e. 2376", "output": [ "e" ] }, { "id": "task1678-dc6fb60696704280987757f210a708b5", "input": "Problem: a fill pipe can fill 1 / 4 of cistern in 16 minutes. in how many minutes, it can fill 3 / 4 of the cistern ?\nOptions: a. 24 min, b. 30 min, c. 48 min, d. 26 min, e. 16 min", "output": [ "c" ] }, { "id": "task1678-b4d03d29c085484185c3cc614f20e1b4", "input": "Problem: a reduction of 40 % in the price of oil enables a house wife to obtain 8 kgs more for rs. 2400, what is the reduced price for kg ?\nOptions: a. rs. 120, b. rs. 125, c. rs. 130, d. rs. 135, e. rs. 140", "output": [ "a" ] }, { "id": "task1678-4fb30ee2161a409caae739ffa8bb4728", "input": "Problem: a trail mix company keeps costs down by employing the peanuts: cashews: almonds ratio of 10: 4: 1 in each bag of up to 75 total nuts. what is the maximum percentage by which the company could decrease its number of peanuts per bag and still have peanuts constitute more than half the total amount of nuts ?\nOptions: a. 40 %, b. 48 %, c. 49 %, d. 50 %, e. 58 %", "output": [ "b" ] }, { "id": "task1678-1509f533ec8f4819abf2e5a43d04d3f6", "input": "Problem: there is a 30 % chance that tigers will not win at all during the whole season. there is a 30 % chance that portugeese will not play at all in the whole season. what is the greatest possible probability that the tigers will win and portugeese will play during the season ?\nOptions: a. 55 %, b. 60 %, c. 70 %, d. 72 %, e. 80 %", "output": [ "c" ] }, { "id": "task1678-783ce2846d7944ab8c9cfe43f32c9820", "input": "Problem: we bought a total of 90 books at the store. math books cost $ 4 and history books cost $ 5. the total price was $ 390. how many math books did we buy ?\nOptions: a. 57, b. 60, c. 63, d. 66, e. 69", "output": [ "b" ] }, { "id": "task1678-c003e0f2f02f4db1b47cd4c5327529e5", "input": "Problem: the sum of three consecutive even numbers is 60. find the middle number of the three ?\nOptions: a. 14, b. 60, c. 18, d. 70, e. 45", "output": [ "b" ] }, { "id": "task1678-7b89ae16204b4bcc91f9c3a8545f5f9b", "input": "Problem: a number when divided by 133 leaves 16 as a remainder. what will be the remainder if the number is divided by 50 ?\nOptions: a. 51, b. 56, c. 49, d. 17, e. 7", "output": [ "c" ] }, { "id": "task1678-1bf974887a4641639cbe56ee4a34aa15", "input": "Problem: the length of a rectangular floor is more than its breadth by 200 %. if rs. 240 is required to paint the floor at the rate of rs. 3 per sq m, then what would be the length of the floor ?\nOptions: a. 65, b. 44, c. 18, d. 15.49, e. 14", "output": [ "d" ] }, { "id": "task1678-ef4c53c41428416487e54fa6604c1978", "input": "Problem: a train 100 m long crosses a platform 125 m long in 15 sec; find the speed of the train ?\nOptions: a. 91.2 kmph, b. 61.9 kmph, c. 45.9 kmph, d. 61.2 kmph, e. 71.2 kmph", "output": [ "d" ] }, { "id": "task1678-e51fe38dfd2f4985a6cbaf32e5d6563e", "input": "Problem: john has 10 pairs of matched socks. if he loses 3 individual socks, what is the greatest number of pairs of matched socks he can have left ?\nOptions: a. 7, b. 8, c. 5, d. 4, e. 3", "output": [ "b" ] }, { "id": "task1678-966a2f11d8a94c54bd9b296bae32a41c", "input": "Problem: a train 250 m long is running with a speed of 68 kmph. in what time will it pass a man who is running at 8 kmph in the same direction in which the train is going ?\nOptions: a. 6 sec., b. 7 sec., c. 9 sec., d. 15 sec., e. none", "output": [ "d" ] }, { "id": "task1678-3755f6e5e64c48e6b867c44d647c53af", "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": "task1678-a6ccbc8eb481443f9d784ceaf176d5fb", "input": "Problem: if the cost price of 50 articles is equal to the selling price of 40 articles, then the gain or loss percent is ?\nOptions: a. 33 %, b. 29 %, c. 25 %, d. 55 %, e. 39 %", "output": [ "c" ] }, { "id": "task1678-3b6fc581b39c4a61b4e46e31d92dd164", "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": "task1678-037e24305c1c42928707c84838af2e4e", "input": "Problem: an alloy of copper and zinc contains copper and zinc in the ratio 8: 2. another alloy of copper and zinc contains copper and zinc in the ratio 4: 6. in what ratio should the two alloys be mixed so that the resultant alloy contains equal proportions of copper and zinc ?\nOptions: a. 5: 1, b. 4: 1, c. 3: 1, d. 6: 1, e. 8: 1", "output": [ "c" ] }, { "id": "task1678-5464698eb07c4c7293998fc064cfe061", "input": "Problem: the average monthly income of p and q is rs. 5050. the average monthly income of q and r is rs. 6250 and the average monthly income of p and r is rs. 5200. the monthly income of p + q + r is :\nOptions: a. 16100, b. 15700, c. 17500, d. 16000, e. 16500", "output": [ "e" ] }, { "id": "task1678-9cf5e935f1d84f24abee22f06c1bcd7a", "input": "Problem: if 1 / ( x + 1 ) + 1 / ( x - 1 ) = 1 / ( x - 1 ), what is the value of x ?\nOptions: a. 2, b. - 2, c. 1, d. - 1, e. 5", "output": [ "c" ] }, { "id": "task1678-2ecc59f5e50d4b3099dc3447fe2bff66", "input": "Problem: evaluate 100 ^ 2 - 99 ^ 2 + 98 ^ 2 - 97 ^ 2 + 96 ^ 2 - 95 ^ 2 +... + 2 ^ 2 - 1 ^ 2 = ?\nOptions: a. 3043, b. 5050, c. 5176, d. 9356, e. 4890", "output": [ "b" ] }, { "id": "task1678-fe6e63a05d694771b91a86a9c92808d5", "input": "Problem: what percent of 14 is 14 percent of 1 ?\nOptions: a. 0.001, b. 0.01, c. 0.1, d. 101, e. 1", "output": [ "e" ] }, { "id": "task1678-18be9d82f03944a49da47e74f542a9bb", "input": "Problem: the annual birth and death rate in a country per 1000 are 39.4 and 19.4 respectively. the number of years r in which the population would be doubled assuming there is no emigration or immigration is\nOptions: a. 20, b. r = 25, c. r = 30, d. r = 35, e. 40", "output": [ "d" ] }, { "id": "task1678-b531e7ee83a94ccab41adb20da4bacfc", "input": "Problem: there are 15 balls in a jar. you take out 3 blue balls without putting them back inside, and now the probability of pulling out a blue ball is 1 / 3. how many blue balls were there in the beginning ?\nOptions: a. 12., b. 9., c. 8., d. 7., e. 6.", "output": [ "d" ] }, { "id": "task1678-fe77f5a28af44295ba0be60766937507", "input": "Problem: the average ( arithmetic mean ) of 8 numbers is 43.1. if the sum of half of these numbers is 158.4, what is the average of the other half ?\nOptions: a. 12.8, b. 24.2, c. 46.6, d. 72.1, e. 96.8", "output": [ "c" ] }, { "id": "task1678-a8360fbe52f2439d91ec2adf13394a01", "input": "Problem: 12.5 * 6.2 * 8.8 = ?\nOptions: a. 352, b. 435, c. 224, d. 682, e. 742", "output": [ "d" ] }, { "id": "task1678-58055c2a514643d79a5561eafcb52464", "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": "task1678-fec84d18cb8b41fb9118b8d8ff7465eb", "input": "Problem: what is the probability of getting exactly 2 heads in a single throw of four fair coins ?\nOptions: a. 1 / 2, b. 3 / 4, c. 3 / 8, d. 3 / 16, e. 5 / 16", "output": [ "c" ] }, { "id": "task1678-6e50ce2ec87e4e44ac958c8a6978f55e", "input": "Problem: the speed of a car increases by 2 kms after every one hour. if the distance travelling in the first one hour was 45 kms. what was the total distance traveled in 12 hours ?\nOptions: a. 252 kms, b. 152 kms, c. 672 kms, d. 752 kms, e. 152 kms", "output": [ "c" ] }, { "id": "task1678-5f47a5be124c4ca29db3c03b52325f37", "input": "Problem: n denotes the number obtained when n is rounded to the nearest tenth. for example 4.31 = 4.3 0.089 - 1.135 =\nOptions: a. 1.05, b. 1.04, c. - 1.05, d. - 1.0, e. - 0.1", "output": [ "d" ] }, { "id": "task1678-c290ab2b56614bce8f0f438f648323aa", "input": "Problem: if x, y, and z are positive real numbers such that x + y - z = 50, y - z + x = 60, and z - x + y = 80, then find the z value ?\nOptions: a. 10, b. 20, c. 5, d. 15, e. 25", "output": [ "c" ] }, { "id": "task1678-759f3d392ff948d3b14dddc129df8fdc", "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": "task1678-dd8f2decd6024e98bdd0e3d72c345341", "input": "Problem: 12.5 * 3.2 * 7.8 = ?\nOptions: a. 312, b. 435, c. 224, d. 646, e. 742", "output": [ "a" ] }, { "id": "task1678-2b04dfc838764fc0aec66940be9a0dfc", "input": "Problem: a certain protective additive increases from 30 days to 45 days the time between required maintenance checks on an industrial vehicle. by what percent is the time between maintenance checks increased by using the additive ?\nOptions: a. 25 %, b. 33 1 / 3 %, c. 50 %, d. 66 2 / 3 %, e. 75 %", "output": [ "c" ] }, { "id": "task1678-9c16481509344648a9554f5e6b30b680", "input": "Problem: an optometrist charges $ 150 per pair for soft contact lenses and $ 85 per pair for hard contact lenses. last week she sold 5 more pairs of soft lenses than hard lenses. if her total sales for pairs of contact lenses last week were $ 1,220, what was the total number of pairs of contact lenses that she sold ?\nOptions: a. 9, b. 13, c. 15, d. 17, e. 19", "output": [ "a" ] }, { "id": "task1678-c50c3ed595e54e43a169b2361c0c95e5", "input": "Problem: a bus trip of 660 miles would have taken 1 hour less if the average speed v for the trip had been greater by 5 miles per hour. what was the average speed v, in miles per hour, for the trip ?\nOptions: a. 40, b. 45, c. 50, d. 55, e. 60", "output": [ "d" ] }, { "id": "task1678-2402fdc2466c4f5fa17f9990f7461757", "input": "Problem: a man can row downstream at 35 kmph and upstream at 25 kmph. find the speed of the man in still water and the speed of stream respectively ?\nOptions: a. 35, 3, b. 25, 5, c. 35, 4, d. 5, 30, e. 30, 5", "output": [ "e" ] }, { "id": "task1678-e19db75846964b6caac346bfbda0c9b7", "input": "Problem: in an examination, 300 students appeared. out of these students; 30 % got first division, 54 % got second division and the remaining just passed. assuming that no student failed; find the number of students who just passed.\nOptions: a. 33, b. 37, c. 54, d. 99, e. 48", "output": [ "e" ] }, { "id": "task1678-8b516d4740424c3b9a076d3b42f5544a", "input": "Problem: if two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is ?\nOptions: a. 1 / 9, b. 1 / 2, c. 1 / 1, d. 1 / 5, e. 1 / 8", "output": [ "b" ] }, { "id": "task1678-a910d7206ecf41b3a5388fec3d5bdef9", "input": "Problem: 5 men are equal to as many women as are equal to 8 boys. all of them earn rs. 45 only. men â € ™ s wages are ?\nOptions: a. 6 rs, b. 7 rs, c. 8 rs, d. 4 rs, e. 3 rs", "output": [ "e" ] }, { "id": "task1678-fcc3ead8511e418ba84216f51bce12bd", "input": "Problem: one pipe can fill a tank three times as fast as another pipe. if together the two pipes can fill the tank in 34 minutes, then the slower pipe alone will be able to fill the tank in\nOptions: a. 144 mins, b. 140 mins, c. 136 mins, d. 132 minw, e. none of these", "output": [ "c" ] }, { "id": "task1678-febd8b3c05db43e8ab06d0e5922f97b2", "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": "task1678-f0d04658c45b4431b10ae5f3062f2e42", "input": "Problem: let a be the event that a randomly selected two digit number is divisible by 3 and let b be the event that a randomly selected two digit number is divisible by 10. what is p ( a and b. ?\nOptions: a. 1 / 30, b. 1 / 15, c. 1 / 5, d. 1 / 3, e. 1 / 2", "output": [ "a" ] }, { "id": "task1678-cfcb08f0e6d74fbe839584818d1dfc02", "input": "Problem: if x is 12 percent greater than 80, then x =\nOptions: a. 89.6, b. 91.0, c. 88.0, d. 70.9, e. 71.2", "output": [ "a" ] }, { "id": "task1678-2a80550b514644429c58de2c18429a37", "input": "Problem: a and b complete a work in 6 days. a alone can do it in 8 days. if both together can do the work in how many days ?\nOptions: a. 3.75 days, b. 3.43 days, c. 2.99 days, d. 2.98 days, e. 2.44 days", "output": [ "b" ] }, { "id": "task1678-03a0855471cf4ccc89968708cf1ab52f", "input": "Problem: the avg weight of a, b & c is 84 kg. if d joins the group, the avg weight of the group becomes 80 kg. if another man e who weights is 8 kg more than d replaces a, then the avgof b, c, d & e becomes 79 kg. what is the weight of a ?\nOptions: a. 25, b. 35, c. 75, d. 80, e. 90", "output": [ "d" ] }, { "id": "task1678-4aa8dc430c2d4a908e2f30dc6bf0fff9", "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": "task1678-b9f641c28ebe44eba877725339434fd2", "input": "Problem: if each side of a square is increased by 325 % in length, find the percentage change in its area ?\nOptions: a. 54 %, b. 957 %, c. 956.25 %, d. 958.25 %, e. 959.50 %", "output": [ "c" ] }, { "id": "task1678-951e5dcee3394d1487235f85c60a1c99", "input": "Problem: martin bought 10 concert tickets, some at the full price of $ 2.00 per ticket, and some at a discounted price of $ 1.60 per ticket. if he spent a total of $ 18.80, how many discounted tickets did he buy ?\nOptions: a. 3, b. 4, c. 5, d. 6, e. 7", "output": [ "a" ] }, { "id": "task1678-79780ebadd7945dfbe48e2f45765da05", "input": "Problem: a can do a piece of work in 10 days and b can do it in 15 days and c can do it 20 days. they started the work together and a leaves after 5 days and b leaves after 3 days from the beginning. how long will work lost ?\nOptions: a. 2, b. 4, c. 5, d. 6, e. 7", "output": [ "d" ] }, { "id": "task1678-36d7be227fd04b8cb52025ee759124c7", "input": "Problem: at the end of year x, automobile installment credit accounted for 35 % of all outstanding consumer installment credit. at that time automobile finance companies extended $ 40 billion of credit, or 1 / 3 of the automobile installment credit. how many billion dollars of consumer installment credit was outstanding at that time ?\nOptions: a. 120, b. 300, c. 401.36, d. 350.15, e. 342.86", "output": [ "e" ] }, { "id": "task1678-d584bd409dfd4ca6aaf9c0a50bf7799e", "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": "task1678-1836efb71dc74994a23a3f2c72f6b883", "input": "Problem: the length of the bridge, which a train 130 metres long and travelling at 54 km / hr can cross in 30 seconds, is :\nOptions: a. 200 m, b. 225 m, c. 320 m, d. 250 m, e. 240 m", "output": [ "c" ] }, { "id": "task1678-05172e4d9e7d4b51a78645602aa03bb2", "input": "Problem: two kinds of vodka are mixed in the ratio 1: 2 and 2: 1 and they are sold fetching the profit 10 % and 40 % respectively. if the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4 / 3 and 5 / 3 times respectively, then the mixture will fetch the profit of\nOptions: a. 18 %, b. 20 %, c. 21 %, d. 40 %, e. can not be determined", "output": [ "d" ] }, { "id": "task1678-63707efbd02b400f9c2017c2721ae820", "input": "Problem: what is 3 2 / 3 - 2 1 / 4 divided by 6 / 7 - 2 / 5 ?\nOptions: a. 17 / 36, b. 36 / 17, c. 17 / 64, d. 15 / 4, e. 14 / 4", "output": [ "c" ] }, { "id": "task1678-f8b31877ea994bb4ac9c9d3a584dad05", "input": "Problem: the sum of the ages of 5 children born at the intervals of 3 year each is 50 year. what is the age of the youngest child ?\nOptions: a. 4 year, b. 8 year, c. 10 year, d. none of these, e. 9 year", "output": [ "a" ] }, { "id": "task1678-a06e5419fa5b448195a3c24103ca56fb", "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": "task1678-7d7209b1cc65428ba7097a861136044f", "input": "Problem: the total age of a and b is 16 years more than the total age of b and c. c is how many year younger than\nOptions: a. 14 years, b. 12 years, c. 56 years, d. 16 years, e. 55 years", "output": [ "d" ] }, { "id": "task1678-f108c8f1be764d17b559a7f3ce49c086", "input": "Problem: the area of sector of a circle whose radius is 12 metro and whose angle at the center is 30 ° is ?\nOptions: ['a. 35 m 2', 'b. 36 m 2', 'c. 37 m 2', 'd. 38 m 2', 'e. 40 m 2']", "output": [ "c" ] }, { "id": "task1678-991d6656e8724bd887c83fa2c9d19936", "input": "Problem: find large number from below question the difference of two numbers is 1360. on dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder\nOptions: a. 1254, b. 1376, c. 1456, d. 1555, e. 1629", "output": [ "e" ] }, { "id": "task1678-1361abcdf26c4766b510faa7886c8590", "input": "Problem: solve the equation 2 – x = 2 b – 2 ax, where a and b are real parameters. find for which values of a the equation has for solution a natural number, if b = 7\nOptions: a. 0, b. 1, c. 2, d. 3, e. 4", "output": [ "b" ] }, { "id": "task1678-2d53ca094f634ce28b47fbab198eca54", "input": "Problem: in a caravan, in addition to 50 hens there are 45 goats and 8 camels with some keepers. if the total number of feet be 224 more than the number of heads, find the number of keepers.\nOptions: a. 25, b. 20, c. 15, d. 13, e. 14", "output": [ "c" ] }, { "id": "task1678-44c6790313894b7dbbdc7caba1acec50", "input": "Problem: a motorcyclist goes from bombay to pune, a distance of 160 kms at an average of 32 kmph speed. another man starts from bombay by car 2 ½ hours after the first, and reaches pune ½ hour earlier. what is the ratio of the speed of the motorcycle and the car ?\nOptions: a. 1: 2, b. 2: 5, c. 1: 4, d. 1: 1, e. 1: 6", "output": [ "b" ] }, { "id": "task1678-a8c514fa812c45f59a712f5eecec3880", "input": "Problem: what will be the percentage increase in the area of the cube ' s surface if each of the cube ' s edges grows by 40 % ?\nOptions: a. 95 %, b. 90 %, c. 85 %, d. 96 %, e. 25 %", "output": [ "d" ] }, { "id": "task1678-60a1f5bc6c584f7da6a55d7faad75e9f", "input": "Problem: how many shots of 1 cm radius can be prepared from a sphere of 5 cm radius ?\nOptions: a. 33, b. 88, c. 27, d. 125, e. 199", "output": [ "d" ] }, { "id": "task1678-37d0589651af4245a124a8a2be5326d3", "input": "Problem: in a village there are 150 men and 90 women in present time. if in next year population will be p = ( a ^ 2 + b ^ 2 ) ^ 1 / 2, and in every year men are reduces 10 %. what is population of after 2 year.\nOptions: a. 140, b. 141, c. 142, d. 143, e. 144", "output": [ "b" ] }, { "id": "task1678-9990df8376b3449783adc233649eb3ad", "input": "Problem: a train 124 m long running at 68 kmph crosses a platform in 19 sec. what is the length of the platform ?\nOptions: a. 338, b. 234, c. 240, d. 881, e. 271", "output": [ "b" ] }, { "id": "task1678-f840a97ebba247a68e5c522466cac816", "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": "task1678-036310c0ae384d4086a1e14f7e53b440", "input": "Problem: given f ( x ) = 3 x – 5, for what value of x does 2 * [ f ( x ) ] + 8 = f ( 3 x – 6 )\nOptions: a. 0, b. 4, c. 6, d. 7, e. 13", "output": [ "d" ] }, { "id": "task1678-213286c7ad10426ea7bb629a37d2e226", "input": "Problem: sheila works 8 hours per day on monday, wednesday and friday, and 6 hours per day on tuesday and thursday. she does not work on saturday and sunday. she earns $ 468 per week. how much does she earn in dollars per hour ?\nOptions: a. 2, b. 8, c. 9, d. 11, e. 13", "output": [ "e" ] }, { "id": "task1678-540c97c61710414fb8f572c2334874c5", "input": "Problem: a trader bought a car at 20 % discount on its original price. he sold it at a 50 % increase on the price he bought it. what percent of profit did he make on the original price ?\nOptions: a. 17 %, b. 72 %, c. 20 %, d. 82 %, e. 16 %", "output": [ "c" ] }, { "id": "task1678-f8ab2203da7641779d3807378c0ab02a", "input": "Problem: we invested a total of $ 1,000. we invested one part of the money at 3 % and the rest of the money at 6 %. the total investment with interest at the end of the year was $ 1, 052.50. how much money did we invest at 3 % ?\nOptions: a. $ 160, b. $ 190, c. $ 220, d. $ 250, e. $ 280", "output": [ "d" ] }, { "id": "task1678-1de153ab0ced4a4f95c57ff5ccd09153", "input": "Problem: | x + 3 | – | 4 - x | = | 9 + x | how many solutions will this equation have ?\nOptions: a. 0, b. 1, c. 2, d. 3, e. 4", "output": [ "b" ] }, { "id": "task1678-392a7a6b97f14b25a7b11f3993c9e167", "input": "Problem: the area of a rectangular plot is 460460 square metres. if the length is 15 % 15 % more than the breadth, what is the breadth of the plot ?\nOptions: a. 14 metres, b. 20 metres, c. 18 metres, d. 12 metres, e. 16 metres", "output": [ "b" ] }, { "id": "task1678-aaec791fca8e4d9ebbaa4ae5caf20122", "input": "Problem: two pipes a and b can separately fill a tank in 16 and 18 minutes respectively. a third pipe c can drain off 45 liters of water per minute. if all the pipes are opened, the tank can be filled in 18 minutes. what is the capacity of the tank ?\nOptions: a. 590 liters, b. 720 liters, c. 740 liters, d. 860 liters, e. 620 liters", "output": [ "b" ] }, { "id": "task1678-786ed5ea75bd4237af1493f2ee6535eb", "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": "task1678-457980a81cca4115a9af22e6423ee112", "input": "Problem: aarti can do a piece of work in 9 days. in how many days will she complete three time of work of same type ?\nOptions: a. 6 days, b. 18 days, c. 21 days, d. 27 days, e. 13 days", "output": [ "d" ] }, { "id": "task1678-4eaabf96edbe49cd9074b781abef8d1a", "input": "Problem: what is the value of n if the sum of the consecutive odd intergers r from 1 to n equals 169 ?\nOptions: a. 47, b. 25, c. 37, d. 33, e. 29", "output": [ "b" ] }, { "id": "task1678-53cc9edd1d83429496d9230e4ec17e7a", "input": "Problem: a certain lab experiments with white and brown mice only. in one experiment, 2 / 3 of the mice are white. if there are 7 brown mice in the experiment, how many mice in total are in the experiment ?\nOptions: a. 39, b. 33, c. 26, d. 21, e. 10", "output": [ "d" ] }, { "id": "task1678-8efdcb7748694a63969c06429741fc5e", "input": "Problem: there are 7 pairs of socks and 2 socks are worn from that such that the pair of socks worn are not of the same pair. what is the number of pair that can be formed.\nOptions: a. 40, b. 49, c. 41, d. 56, e. 42", "output": [ "e" ] }, { "id": "task1678-3d9e26dfbf644c4687fa0e98747a970f", "input": "Problem: what is the lowest positive integer that is divisible by 4 through 6, inclusive ?\nOptions: a. 120, b. 48, c. 82, d. 76, e. 160", "output": [ "a" ] }, { "id": "task1678-a3888866e7b545c993fa11051cb55597", "input": "Problem: when a stone is dropped from a building 200 m high, its speed is proportional to the time elapsed after dropping. the distance traveled is proportional to the square of the time elapsed. after 1 second the speed of the train was 10 m / sec and it was 190 m above the ground. when its speed is 25 m / sec, what would be its distance from the ground ?\nOptions: a. 140 m, b. 137.5 m, c. 125.75 m, d. 142.5 m, e. 152.5 m", "output": [ "b" ] }, { "id": "task1678-a91682af71ba48a29ec1ff4731a7f4ad", "input": "Problem: if 2 x = 3 y = 10, then 15 xy = ?\nOptions: a. 1,200, b. 200, c. 120, d. 40, e. 250", "output": [ "e" ] }, { "id": "task1678-2f0932714a6740bd9ed5e1545e08c236", "input": "Problem: two goods trains each 500 m long are running in opposite directions on parallel tracks. their speeds are 30 km / hr and 90 km / hr respectively. find the time taken by the slower train to pass the driver of the faster one ?\nOptions: a. 48, b. 30, c. 26, d. 23, e. 12", "output": [ "b" ] }, { "id": "task1678-432e25f17c154cd9b3c1d14f1684f844", "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": "task1678-591b036f429044b0abcb667b7d07a343", "input": "Problem: in a bag of small balls 1 / 4 are green, 1 / 8 are blue, 1 / 12 are yellow and the remaining 26 white. how many balls are blue ?\nOptions: a. 6, b. 5, c. 4, d. 3, e. 8", "output": [ "a" ] }, { "id": "task1678-25b6ddd716b744f7b3937221f073aee2", "input": "Problem: a crow leaves its nest, and flies back and forth from its nest to a nearby ditch to gather worms. the distance between the nest and the ditch is 250 meters. in one and a half hours, the crow manages to bring worms to its nest 15 times. what is the speed of the crow in kilometers per hour ?\nOptions: a. 1, b. 3, c. 4, d. 5, e. 6", "output": [ "d" ] }, { "id": "task1678-f58c497f9fd142019624d04992d3a298", "input": "Problem: solution x is 10 percent alcohol by volume, and solution y is 30 percent alcohol by volume. how many milliliters of solution y must be added to 300 milliliters of solution x to create a solution that is 15 percent alcohol by volume ?\nOptions: a. 50, b. 100, c. 150, d. 200, e. 250", "output": [ "b" ] }, { "id": "task1678-fb5e27d11847422aaa695fcb6f39e6fc", "input": "Problem: on a saturday night, each of the rooms at a certain motel was rented for either $ 40 or $ 60. if 10 of the rooms that were rented for $ 60 had instead been rented for $ 40, then the total rent the motel charged for that night would have been reduced by 40 percent. what was the total rent the motel actually charged for that night ?\nOptions: a. $ 500, b. $ 800, c. $ 1,000, d. $ 1,600, e. $ 2,400", "output": [ "a" ] }, { "id": "task1678-9cc0c3a232c747e393d804825b6d6bb7", "input": "Problem: the length of the rectangular field is double its width. inside the field there is square shaped pond 9 m long. if the area of the pond is 1 / 8 of the area of the field. what is the length of the field ?\nOptions: a. 54, b. 36, c. 75, d. 28, e. 11", "output": [ "b" ] }, { "id": "task1678-0c404997b88d4803aaf0746c8a98d4d2", "input": "Problem: how much time will a train of length 380 m moving at a speed of 72 kmph take to cross another train of length 540 m, moving at 36 kmph in the same direction ?\nOptions: a. 50, b. 99, c. 88, d. 92, e. 12", "output": [ "d" ] }, { "id": "task1678-d437e92138b24be9aa19760a56c54798", "input": "Problem: the area of a circle is increased by 800 %. by what percent has the radius of the circle increased ?\nOptions: a. 100 %, b. 400 %, c. 300 %, d. 600 %, e. 200 %", "output": [ "e" ] }, { "id": "task1678-e03aba8c245748e7b67a5e2f8972822c", "input": "Problem: adam borrowed some money at the rate of 6 % p. a. for the first two years, at the rate of 9 % p. a. for the next 3 years, and at the rate of 14 % p. a. for the period beyond 5 years. 1 £ he pays a total interest of rs. 11400 at the end of 9 years how much money did he borrow ?\nOptions: a. rs. 8000, b. rs. 09000, c. rs. 11000, d. rs. 10000, e. rs. 12000", "output": [ "e" ] }, { "id": "task1678-cccc41a45290425c887aa5d0aa611acb", "input": "Problem: which number need to add to 859622 to get a number divisible by 456 ?\nOptions: a. 565771, b. 456578, c. 676885, d. 788090, e. 859622", "output": [ "e" ] }, { "id": "task1678-e8fcf5a4125944cc81ee272148767835", "input": "Problem: if a motorist had driven 1 hour longer on a certain day and at an average rate of 5 miles per hour faster, he would have covered 50 more miles than he actually did. how many more miles would he have covered than he actually did if he had driven 2 hours longer and at an average rate of 10 miles per hour faster on that day ?\nOptions: a. 100, b. 120, c. 140, d. 150, e. 160", "output": [ "a" ] }, { "id": "task1678-fb416807f0014c9b8d2480456b377fa1", "input": "Problem: in the x - y plane, there are 4 points ( 0,0 ), ( 0,4 ), ( 8,4 ), and ( 8,0 ). if these 4 points makes a rectangle, what is the probability that x + y < 4 ?\nOptions: a. 1 / 2, b. 1 / 3, c. 2 / 3, d. 1 / 4, e. 2 / 5", "output": [ "d" ] }, { "id": "task1678-4d0097e4432d45a199d0ef903b2b9cbd", "input": "Problem: harold and millicent are getting married and need to combine their already - full libraries. if harold, who has 1 / 2 as many books as millicent, brings 1 / 3 of his books to their new home, then millicent will have enough room to bring 1 / 5 of her books to their new home. what fraction of millicent ' s old library capacity is the new home ' s library capacity ?\nOptions: a. 1 / 2, b. 2 / 3, c. 3 / 4, d. 11 / 30, e. 5 / 6", "output": [ "d" ] }, { "id": "task1678-ecf457deef61411cac64ce5ef6ea180d", "input": "Problem: let the number which when multiplied by 16 is increased by 375.\nOptions: a. 14, b. 20, c. 26, d. 25, e. 30", "output": [ "d" ] }, { "id": "task1678-c27f2a39f03248af8628997cc6ffc2e1", "input": "Problem: a can finish a work in 60 days, b in 9 days and c in 2 days, b and c start the work but are forced to leave after 3 days. the remaining work was done by a in ?\nOptions: a. 10 days, b. 25 days, c. 6 days, d. 7 days, e. 8 days", "output": [ "b" ] }, { "id": "task1678-f952fdb99e5c49c18f9ad15ca668ceef", "input": "Problem: jill has 14 gallons of water stored in quart, half - gallon, and one gallon jars. she has equal numbers of each size jar holding the liquid. what is the total number of water filled jars ?\nOptions: a. 3, b. 6, c. 9, d. 12, e. 24", "output": [ "e" ] }, { "id": "task1678-0c256a9507d7400781b2e75d36098cfe", "input": "Problem: a cricket player whose bowling average was 21.5 runs per wicket, takes 5 wicket for 52 runs in a match. due to this his average decreases by 0.5. what will be the number of wickets taken by him till the last match ?\nOptions: a. 64, b. 72, c. 111, d. 721, e. 108", "output": [ "c" ] }, { "id": "task1678-ed59c718133345369e81301ff1cd8fbd", "input": "Problem: 8 men, working 8 hours a day can complete a work in 18 days. how many hours a day must 12 men work to complete the same work in 12 days ?\nOptions: a. 6, b. 7, c. 8, d. 9, e. 10", "output": [ "c" ] }, { "id": "task1678-1acec774bd59475cbd75587e85010441", "input": "Problem: 1, 8, 27, 64, 125, 216, (.... )\nOptions: a. 354, b. 343, c. 245, d. 392, e. 400", "output": [ "b" ] }, { "id": "task1678-778f99d5e71645b4baabfefb2fcb7942", "input": "Problem: if 3 men or 4 women can do a piece of work in 16 days, in how many days can 12 men and 8 women do the same piece of work ?\nOptions: a. 8 / 3, b. 6, c. 5, d. 4, e. 3", "output": [ "a" ] }, { "id": "task1678-e071d5740dce471aac9077bd8345f6be", "input": "Problem: two trains are running in opposite directions in the same speed. the length of each train is 120 meter. if they cross each other in 24 seconds, the speed of each train ( in km / hr ) is\nOptions: a. 18, b. 36, c. 28, d. 20, e. 24", "output": [ "a" ] }, { "id": "task1678-2d380832211b4e058c736d92755d4698", "input": "Problem: john has $ 1,600 at the beginning of his trip, after spending money, he still has exactly $ 600 less than he spent on the trip. how much money does john still have ?\nOptions: a. $ 200, b. $ 400, c. $ 600, d. $ 800, e. $ 500", "output": [ "e" ] }, { "id": "task1678-3c6b6d1e8801406faeea4fa39ec537bf", "input": "Problem: a, b and c started a business by investing rs. 800 / -, rs. 1000 / - and rs. 1200 / - respectively for two years. total profit is rs. 1000 / -. find the c ' s share ?\nOptions: a. rs. 600, b. rs. 500, c. rs. 400, d. rs. 800, e. rs. 900", "output": [ "c" ] }, { "id": "task1678-cbcae4d5c9de4dc480ba11bcbc3dc483", "input": "Problem: the speed of a car is 85 km in the first hour and 45 km in the second hour. what is the average speed of the car ?\nOptions: a. 72 kmph, b. 65 kmph, c. 30 kmph, d. 80 kmph, e. 82 kmph", "output": [ "b" ] }, { "id": "task1678-553844d196634496872e648c80e1e11c", "input": "Problem: find the number which multiplied by 15 is increased by 196.\nOptions: a. 14, b. 20, c. 26, d. 28, e. 27", "output": [ "a" ] }, { "id": "task1678-9563c8368d7e4811af9f659aef17c910", "input": "Problem: the positive value of x that satisfies the equation ( 3 + 2 x ) ^ 5 = ( 1 + 3 x ) ^ 4 is between bunuel, can you please explain this one ?\nOptions: a. 0 and 0.5, b. 0.5 and 1, c. 1 and 1.5, d. 1.5 and 2, e. 2 and 2.5", "output": [ "d" ] }, { "id": "task1678-b18015e50221495d9839437df9419d08", "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": "task1678-ef10090e317e4512b8d7cbe67f9dd9a5", "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": "task1678-b85e1ff49a834de5b8cf51c6c853ae74", "input": "Problem: carmen made a sculpture from small pieces of wood. the sculpture is 2 feet 10 inches tall. carmen places her sculpture on a base that is 10 inches tall. how tall are the sculpture andbase together ?\nOptions: a. 3.1 feet, b. 3.66 feet, c. 3.3 feet, d. 3.4 feet, e. 3.5 feet", "output": [ "b" ] }, { "id": "task1678-ffbb44ff0c7b4fe8b90741e0e5c27f5a", "input": "Problem: points a, b, and, c have xy - coordinates ( 2,0 ), ( 8,12 ), and ( 14,0 ), respectively. points x, y, and z have xy - coordinates ( 6,0 ), ( 8,4 ), and ( 10,0 ), respectively. what fraction w of the area of triangle abc is the area of triangle xyz ?\nOptions: a. 1 / 9, b. 1 / 8, c. 1 / 6, d. 1 / 5, e. 1 / 3", "output": [ "a" ] }, { "id": "task1678-cabcb93eab5145e9a9c983e85042c12a", "input": "Problem: the cash difference between the selling prices of an article at a profit of 4 % and 2 % is rs. 3. the ratio of the two selling prices is ?\nOptions: a. 52: 51, b. 52: 53, c. 52: 50, d. 22: 56, e. 52: 51", "output": [ "a" ] }, { "id": "task1678-07eeb676e25b4e61930eff90471db260", "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": "task1678-e71d4664a0f942129863697c7a8cee72", "input": "Problem: what least number must be added to 696, so that the sum is completely divisible by 20 ?\nOptions: a. 2, b. 4, c. 3, d. 5, e. 6", "output": [ "b" ] }, { "id": "task1678-4e3ab9c0640a48f0b28da4fc6aa7ddd6", "input": "Problem: line q has the equation 5 y – 3 x = 30. if line s is perpendicular to q, has an integer for its y - intercept, and intersects q in the second quadrant, then how many possible line s ’ s exist ? ( note: intersections on one of the axes do not count. )\nOptions: a. 22, b. 33, c. 36, d. 41, e. 58", "output": [ "a" ] }, { "id": "task1678-ff5eb6b22c234227bb84a951ffe90827", "input": "Problem: in a certain warehouse, 30 percent of the packages weigh less than 75 pounds, and a total of 48 packages weigh less than 25 pounds. if 80 percent of the packages weigh at least 25 pounds, how many of the packages weigh at least 25 pounds but less than 75 pounds ?\nOptions: a. 8, b. 64, c. 24, d. 102, e. 144", "output": [ "c" ] }, { "id": "task1678-7a6c60c000f44ff2a136dc5aaece0fd7", "input": "Problem: a student took 5 papers in an examination, where the full marks were the same for each paper. his marks in these papers were in the proportion of 6: 7: 8: 9: 10. in all papers together, the candidate obtained 60 % of the total marks then, the number of papers in which he got more than 50 % marks is\nOptions: a. 1, b. 3, c. 4, d. 5, e. 7", "output": [ "c" ] }, { "id": "task1678-0359cce7e2c8489a9ecf27445c919443", "input": "Problem: subtracting 5 % of a from a is equivalent to multiplying a by how much ?\nOptions: a. 0.95, b. 9.4, c. 0.094, d. 94, e. none", "output": [ "a" ] }, { "id": "task1678-aa191b20fae2443f8b6540f13075826b", "input": "Problem: a bag consists of 20 marbles, of which 5 are blue, 7 are red, and the remainder are white. if lisa is to select a marble from the bag at random, what is the probability that the marble will be red or white ?\nOptions: a. 3 / 4, b. 2 / 4, c. 1 / 4, d. 1 / 8, e. 1 / 16", "output": [ "a" ] }, { "id": "task1678-31e23e012dae42ae9cf5e2eedac8750c", "input": "Problem: a trader bought a car at 20 % discount on its original price. he sold it at a 60 % increase on the price he bought it. what percent of profit did he make on the original price ?\nOptions: a. 28 %, b. 72 %, c. 12 %, d. 82 %, e. 16 %", "output": [ "a" ] }, { "id": "task1678-0c8728daf8554c4e8683144503cc9c7b", "input": "Problem: an aeroplane covers a certain distance at a speed of 150 kmph in 2 hours. to cover the same distance in 1 2 / 3 hours, it must travel at a speed of :\nOptions: a. 1300 kmph, b. 160 kmph, c. 180 kmph, d. 1080 kmph, e. none", "output": [ "c" ] }, { "id": "task1678-0ab59d90ce0b4adc8343cad66f0f0002", "input": "Problem: what is the units digit of 17 ^ 83 × 13 ^ 82 × 11 ^ 67 ?\nOptions: a. 4, b. 5, c. 6, d. 7, e. 8", "output": [ "a" ] }, { "id": "task1678-845a0ef19001498dbd8c6c1d8574d26c", "input": "Problem: how many seconds will a 550 m long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 63 km / hr ?\nOptions: a. 12 sec, b. 30 sec, c. 33 sec, d. 16 sec, e. 18 sec", "output": [ "c" ] }, { "id": "task1678-7f396b95f34b4ee2aa207217bb66fb4a", "input": "Problem: jansi went out for shopping. she had in her handbag approximately rs. 15 / - in one rupee notes and 20 p. coins. when she returned she had as many one rupee notes as she originally had and as many 20 p. coins as she originally had one rupee notes. she actually came back with about one - third of what she had started out with. how much did she spend and exactly how much did she have with her when she started out ?\nOptions: a. 9.6, b. 10.6, c. 11.0, d. 9.4, e. 8.1", "output": [ "a" ] }, { "id": "task1678-730a986ba2bf4eb08dd3c0e9b9c71445", "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": "task1678-1cb099d0819442f2ab6a7f4ffcb5f964", "input": "Problem: in a party every person shakes hands with every other person. if there were a total of 120 handshakes in the party then what is the number of persons present in the party ?\nOptions: a. 15, b. 16, c. 17, d. 18, e. 19", "output": [ "b" ] }, { "id": "task1678-d68513289fbd49d2b545543d9ce469ee", "input": "Problem: a square mirror has exactly half the area of the rectangular wall on which it is hung. if each side of the mirror is 21 inches and the width of the wall is 28 inches, what is the length of the wall, in inches ?\nOptions: a. 21.5, b. 31.5, c. 41.5, d. 61.5, e. 71.5", "output": [ "b" ] }, { "id": "task1678-ff1de9f2a6c048adb4c85df6599f759b", "input": "Problem: when positive integer x is divided by positive integer y, the remainder is 6. if x / y = 96.15, what is the value of y ?\nOptions: a. 96, b. 75, c. 40, d. 25, e. 12", "output": [ "c" ] }, { "id": "task1678-c0a39bd56afc478f8a01b25031f61a7e", "input": "Problem: if the product of the integers w, x, y and z is 840, and if 1 < w < x < y < z, what is the value of w + z ?\nOptions: a. 10, b. 11, c. 16, d. 18, e. 21", "output": [ "b" ] }, { "id": "task1678-7e75e25991ef4192a1801ee2ce381fd9", "input": "Problem: a sum of money is to be distributed among a, b, c, d in the proportion of 5: 2: 4: 3. if c gets 1000 more than d, what is b ’ s share ?\nOptions: a. 500, b. 1500, c. 2000, d. 1400, e. none of these", "output": [ "c" ] }, { "id": "task1678-b2cf05a08b304bd08c7a06800dc9fbe6", "input": "Problem: in a certain apartment building, there are one - bedroom and two - bedroom apartments. the rental prices of the apartment depend on a number of factors, but on average, two - bedroom apartments have higher rental prices than do one - bedroom apartments. let r be the average rental price for all apartments in the building. if r is $ 5,600 higher than the average rental price for all one - bedroom apartments, and if the average rental price for all two - bedroom apartments is $ 10,400 higher that r, then what percentage of apartments in the building are two - bedroom apartments ?\nOptions: a. 26 %, b. 35 %, c. 39 %, d. 42 %, e. 52 %", "output": [ "b" ] }, { "id": "task1678-78fc7b5b158f4fc9bb12e7b1e29ef6b6", "input": "Problem: if each participant of a chess tournament plays exactly one game with each of the remaining participants, then 276 games will be played during the tournament. find the number of participants.\nOptions: a. 20, b. 22, c. 24, d. 26, e. 28", "output": [ "c" ] }, { "id": "task1678-4bcb9c51d9f1478591ea338cb0569a13", "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": "task1678-24c6d689ceca4ca5ac211dc96e4711c2", "input": "Problem: 3 friends had dinner at a restaurant. when the bill was received, akshitha paid 3 / 4 as much as veena paid and veena paid 1 / 2 as much as lasya paid. what fraction of the bill did veena pay ?\nOptions: a. 4 / 15, b. 3 / 12, c. 3 / 11, d. 3 / 10, e. 3 / 14", "output": [ "a" ] }, { "id": "task1678-8cf4ebdfd8b8413484e24ef914d4153b", "input": "Problem: a number x is 5 times another number y. the percentage that y is less than x is\nOptions: a. 12.5 %, b. 87.5 %, c. 80 %, d. 11 %, e. 1 %", "output": [ "c" ] }, { "id": "task1678-0fe464641d1f4aaaa56242db518dff47", "input": "Problem: marketing executives for a certain chewing gum company projected a 40 percent increase in revenue this year over that of last year, but revenue this year actually decreased by 30 %. what percent of the projected revenue was the actual revenue ?\nOptions: a. 50 %, b. 58 %, c. 62.5 %, d. 64 %, e. 75 %", "output": [ "a" ] }, { "id": "task1678-a424c7f86c4f4c70857ccafffd287d90", "input": "Problem: how many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 9 m x 6 m x 22.5 cm ?\nOptions: a. 6400, b. 6410, c. 6440, d. 7200, e. 6800", "output": [ "d" ] }, { "id": "task1678-62b5de3d7aac470ab3e1992646f2d30d", "input": "Problem: at a certain restaurant, the average ( arithmetic mean ) number of customers served for the past x days was 65. if the restaurant serves 120 customers today, raising the average to 90 customers per day, what is the value of x ?\nOptions: a. 1, b. 5, c. 9, d. 15, e. 30", "output": [ "a" ] }, { "id": "task1678-282dffcff3af40daa76ab322ce24a1a8", "input": "Problem: stacy has a 63 page history paper due in 7 days. how many pages per day would she have to write to finish on time ?\nOptions: a. 9, b. 8, c. 10, d. 8.5, e. 6", "output": [ "a" ] }, { "id": "task1678-16ff395f17bf440e84a28896f378d703", "input": "Problem: the ages of patrick and michael are in the ratio of 3: 5 and that of michael and monica are in the ratio of 3: 5. if the sum of their ages is 148, what is the difference between the ages of patrick and monica ?\nOptions: a. 27, b. 48, c. 45, d. 72, e. 18", "output": [ "b" ] }, { "id": "task1678-86dd5b79c31243d1b794dce1eb65cd6c", "input": "Problem: you collect baseball cards. suppose you start out with 15. maria takes half of one more than the number of baseball cards you have. since you ' re nice, you give peter 1 baseball card. since his father makes baseball cards, paul decides to triple your baseball cards. how many baseball cards do you have at the end ?\nOptions: a. 17, b. 18, c. 19, d. 20, e. 21", "output": [ "b" ] }, { "id": "task1678-acd0137bad9143ddafd65a6e02f25fc8", "input": "Problem: if the cost price of 18 articles is same as the selling price of 25 articles. find the gain or loss percentage ?\nOptions: a. 30 % gain, b. 28 % loss, c. 40 % gain, d. 40 % loss, e. 50 % loss", "output": [ "b" ] }, { "id": "task1678-f675ab301f934429be6df7e9757c6ccd", "input": "Problem: evaluate 28 % of 450 + 45 % of 280\nOptions: a. 232, b. 242, c. 252, d. 262, e. 272", "output": [ "c" ] }, { "id": "task1678-8d323d25ab984e80a17ceadb0e1f33f7", "input": "Problem: xavier, yvonne, and zelda each try independently to solve a problem. if their individual probabilities for success are 1 / 4, 2 / 3 and 5 / 8, respectively, what is the probability that xavier and yvonne, but not zelda, will solve the problem ?\nOptions: a. 1 / 16, b. 7 / 8, c. 9 / 64, d. 5 / 64, e. 3 / 64", "output": [ "a" ] }, { "id": "task1678-71f5f479a12e4c86aaaf6c2bea34744e", "input": "Problem: in a certain lottery, the probability that a number between 1 and 15, inclusive, is drawn is 1 / 3. if the probability that a number 1 or larger is drawn is 2 / 3, what is the probability that a number less than or equal to 15 is drawn ?\nOptions: a. 2 / 3, b. 1 / 3, c. 1 / 4, d. 1 / 6, e. 2 / 5", "output": [ "a" ] }, { "id": "task1678-5d45597d01914ad5a819f6f72404d7c4", "input": "Problem: the distance from city a to city b is 120 miles. while driving from city a to city b, cara drives at a constant speed of 30 miles per hour. dan leaves city a 120 minutes after cara. what is the minimum constant speed in miles per hour that dan must exceed in order to arrive in city b before cara ?\nOptions: a. 42, b. 44, c. 60, d. 48, e. 50", "output": [ "c" ] }, { "id": "task1678-a24af31d779c46e7b6c431c6c9f1789e", "input": "Problem: a student travels from his house to school at 12 km / hr and reaches school 2 hours late. the next day he travels 20 km / hr and reaches school 1 hour early. what is the distance between his house and the school ?\nOptions: a. 90, b. 100, c. 110, d. 120, e. 130", "output": [ "a" ] }, { "id": "task1678-22f73d71a8fd4990b40f46fb8ab7b4b4", "input": "Problem: if x is less than y by 25 % then y exceed x by :\nOptions: a. 33.33 %, b. 25 %, c. 75 %, d. 66.66 %, e. none of these", "output": [ "a" ] }, { "id": "task1678-2fa7c35f864a4c84a798ef66ecab8ab4", "input": "Problem: a pharmaceutical company received $ 8 million in royalties on the first $ 20 million in sales of the generic equivalent of one of its products and then $ 9 million in royalties on the next $ 108 million in sales. by approximately what percent did the ratio of royalties to sales decrease from the first $ 20 million in sales to the next $ 108 million in sales ?\nOptions: a. 8 %, b. 15 %, c. 45 %, d. 52 %, e. 79 %", "output": [ "e" ] }, { "id": "task1678-08b05f1f2e6f44b9bb3b6c69f6e7982d", "input": "Problem: a square with sides of 15 units each. what would be the area of the square. consider a square as a combination of two right angled triangles.\nOptions: ['a. 100', 'b. 256', 'c. 225', 'd. 81', 'e. 144']", "output": [ "c" ] }, { "id": "task1678-8764cec6199c48048e3f60cbf7db8213", "input": "Problem: a man is standing on a railway bridge which is 180 m long. he finds that a train crosses the bridge in 20 seconds but himself in 8 seconds. find the length of the train and its speed\nOptions: a. 50 km, b. 52 km, c. 54 km, d. 56 km, e. 58 km", "output": [ "c" ] }, { "id": "task1678-4e3b8f7784aa45bbbe8ac58d6af092fe", "input": "Problem: how many digits are required to number a book containing 240 pages ?\nOptions: a. 756, b. 612, c. 492, d. 372, e. 250", "output": [ "b" ] }, { "id": "task1678-36478d784ae044b283623bd6893b222a", "input": "Problem: out of 40 applicants to a law school, 15 majored in political science, 20 had a grade point average higher than 3.0, and 10 did not major in political science and had a gpa equal to or lower than 3.0. how many e applicants majored in political science and had a gpa higher than 3.0 ?\nOptions: a. 5, b. 10, c. 15, d. 25, e. 35", "output": [ "a" ] }, { "id": "task1678-94c1c6796c644c2c8ec5ee16f30f1310", "input": "Problem: george does 3 / 5 th of a piece of work in 9 days. he then calls in paul and they finish the work in 4 days. how long would paul take to do the work by himself ?\nOptions: a. 10, b. 20, c. 30, d. 40, e. 50", "output": [ "c" ] }, { "id": "task1678-b070523ea890493782975327756516d0", "input": "Problem: in august, a cricket team that played 120 matches won 24 % of the games it played. after a continuous winning streak, this team raised its average to 52 %. how many matches did the team win to attain this average ?\nOptions: a. 40, b. 52, c. 68, d. 70, e. 98", "output": [ "d" ] }, { "id": "task1678-6ab05843bd2b43bebf490dee927b46d2", "input": "Problem: in a survey of 340 employees, 104 of them are uninsured, 54 work part time, and 12.5 percent of employees who are uninsured work part time. if a person is to be randomly selected from those surveyed, what is the probability that the person will neither work part time nor be uninsured ?\nOptions: a. 7 / 12, b. 8 / 41, c. 39 / 68, d. 1 / 8, e. 41 / 91", "output": [ "c" ] }, { "id": "task1678-561ff2e57e4249a3838f1cf346645d7a", "input": "Problem: a ( 3, w ^ 3 ) is the ( x, y ) coordinate of point located on the parabola y = x ^ 2 - 1. what is the value of w ?\nOptions: a. 2., b. 4., c. 5., d. 6., e. 9.", "output": [ "a" ] }, { "id": "task1678-3a9ed6d532464ab9866e1f0e448a0a25", "input": "Problem: in x game of billiards, x can give y 20 points in 60 and he can give z 30 points in 60. how many points can y give z in x game of 120 ?\nOptions: a. 30, b. 20, c. 25, d. 40, e. 50", "output": [ "a" ] }, { "id": "task1678-1729763cc1c540f5923b328a09d04ccc", "input": "Problem: a house wife saved $ 2.50 in buying an item on sale. if she spent $ 25 for the item, approximately how much percent she saved in the transaction ?\nOptions: a. 8 %, b. 9 %, c. 10 %, d. 11 %, e. 12 %", "output": [ "b" ] }, { "id": "task1678-919827f4b6594062adea65dd0362b0b4", "input": "Problem: after successive discounts of 20 %, 10 % and 5 % a certain good is sold for rs. 6700. find the actual price of the good.\nOptions: a. s. 6000, b. s. 9000, c. s. 10800, d. s. 9795, e. s. 9980", "output": [ "d" ] }, { "id": "task1678-8d414ce1ba2649f2a2d66fb02c6281ee", "input": "Problem: a not - so - good clockmaker has four clocks on display in the window. clock # 1 loses 25 minutes every hour. clock # 2 gains 15 minutes every hour relative to clock # 1 ( i. e., as clock # 1 moves from 12: 00 to 1: 00, clock # 2 moves from 12: 00 to 1: 15 ). clock # 3 loses 20 minutes every hour relative to clock # 2. finally, clock # 4 gains 20 minutes every hour relative to clock # 3. if the clockmaker resets all four clocks to the correct time at 12 noon, what time will clock # 4 display after 6 actual hours ( when it is actually 6: 00 pm that same day ) ?\nOptions: a. 5: 00, b. 5: 34, c. 5: 42, d. 6: 00, e. 6: 24", "output": [ "c" ] }, { "id": "task1678-b386ec8404374c2b9d459b5ec7bdc06d", "input": "Problem: in a factory, an average of 60 tv ' s are produced per day for the fist 25 days of the months. a few workers fell ill for the next 5 days reducing the daily avg for the month to 58 sets / day. the average production per day for day last 5 days is ?\nOptions: a. 20, b. 36, c. 48, d. 50, e. 59", "output": [ "c" ] }, { "id": "task1678-3a9d88eaaeef407cb25f1382453cbd1c", "input": "Problem: a collection of books went on sale, and 2 / 3 of them were sold for $ 4.25 each. if none of the 30 remaining books were sold, what was the total amount received for the books that were sold ?\nOptions: a. $ 260, b. $ 255, c. $ 285, d. $ 290, e. $ 275", "output": [ "b" ] }, { "id": "task1678-d94a5b3ccd364a40b3a85cf371d8de8b", "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": "task1678-4e84922b0d614f70bf5a3f4139517d26", "input": "Problem: when jessica withdrew $ 200 from her bank account, her account balance decreased by 2 / 5. if she deposits an amount equal to 2 / 3 of the remaining balance, what will be the final balance in her bank account ?\nOptions: a. 300, b. 375, c. 400, d. 500, e. 575", "output": [ "d" ] }, { "id": "task1678-4728636e91304bcb9a896bbf2e62e18c", "input": "Problem: in n is a positive integer less than 200, and 14 n / 60 is an integer, then n has how many different positive prime factors s ?\nOptions: a. 2, b. 3, c. 5, d. 6, e. 8", "output": [ "b" ] }, { "id": "task1678-7cfbf4bd148343cbb690c0060b3a5943", "input": "Problem: an equilateral triangle t 2 is formed by joining the mid points of the sides of another equilateral triangle t 1. a third equilateral triangle t 3 is formed by joining the mid - points of t 2 and this process is continued indefinitely. if each side of t 1 is 40 cm, find the sum of the perimeters of all the triangles.\nOptions: ['a. 180 cm', 'b. 220 cm', 'c. 240 cm', 'd. 270 cm', 'e. 300 cm']", "output": [ "c" ] }, { "id": "task1678-f7458472b089457a942a43a280ed8c30", "input": "Problem: two pipes a and b can fill a tank in 10 hours and 20 hours respectively. if both the pipes are opened simultaneously, how much time will be taken to fill the tank ?\nOptions: a. 10 / 3, b. 20 / 3, c. 15 / 7, d. 11 / 17, e. 1 / 4", "output": [ "b" ] }, { "id": "task1678-431cc01ef7744c7f82985d81dac072bd", "input": "Problem: the number obtained by interchanging the digits of a two - digit number is less than the original number by 36. the sum of the digits of the number is 8. what is the original number ?\nOptions: a. 71, b. 62, c. 53, d. 35, e. 45", "output": [ "b" ] }, { "id": "task1678-6a7da40ca6a94a279af95aeff13bc16a", "input": "Problem: in one alloy there is 10 % chromium while in another alloy it is 6 %. 15 kg of the first alloy was melted together with 35 kg of the second one to form a third alloy. find the percentage of chromium in the new alloy.\nOptions: a. 7.2 %, b. 9 %, c. 9.2 %, d. 8.6 %, e. 8.4 %", "output": [ "a" ] }, { "id": "task1678-fcb6f71e2eec4a5d8cab2bad9665de87", "input": "Problem: the food in a camp lasts for 10 men for 20 days. if 30 more men join, how many days will the food last ?\nOptions: a. 8 days, b. 4 days, c. 5 days, d. 10 days, e. 17 days", "output": [ "c" ] }, { "id": "task1678-e45ad347e7274379bd42282c9be84992", "input": "Problem: surface area of a sphere is 2464 cm 2. if its radius is doubled, then the surface area of the new sphere will be\nOptions: ['a. 4920 cm 2', 'b. 4727 cm 2', 'c. 9856 cm 2', 'd. 19712 cm 2', 'e. none']", "output": [ "c" ] }, { "id": "task1678-5d8e777cae774d47a90b3ba4fb991c71", "input": "Problem: how long does a train 100 m long travelling at 60 kmph takes to cross a bridge of 80 m in length ?\nOptions: a. 15.8 sec, b. 14.9 sec, c. 12.4 sec, d. 10.8 sec, e. 11.8 sec", "output": [ "d" ] }, { "id": "task1678-0dd276eed86e41f68a55ab15d67f3205", "input": "Problem: - 74 x 29 + 265 = ?\nOptions: a. 2436, b. - 1881, c. - 2801, d. - 2071, e. none of them", "output": [ "b" ] }, { "id": "task1678-09f641c59191456db39c433730f773b6", "input": "Problem: the population of 6 villages is 803, 9001100, 1023945 and 980. what is the population of the seventh village if the average population of the 7 villages is 1000 ?\nOptions: a. 1134, b. 1238, c. 1348, d. 1500, e. 1249", "output": [ "e" ] }, { "id": "task1678-ea689244c0d74277a646b58050218b76", "input": "Problem: if 625 ^ ( - x ) + 25 ^ ( - 2 x ) + 5 ^ ( - 4 x ) = 14, what is the value of x ?\nOptions: a. - 4, b. - 1 / 4, c. 0, d. 1 / 4, e. 4", "output": [ "d" ] }, { "id": "task1678-38eacd62103d474381d2f81fe8217b01", "input": "Problem: the radius of the wheel of a bus is 70 cms and the speed of the bus is 66 km / h, then the r. p. m. ( revolutions per minutes ) of the wheel is\nOptions: a. 200, b. 250, c. 300, d. 330, e. none of these", "output": [ "b" ] }, { "id": "task1678-b0e04527a4304cfc999aece353ec5a38", "input": "Problem: harry started a 4 - mile hike with a full 6 - cup canteen of water and finished the hike in 2 hours with 1 cup of water remaining in the canteen. if the canteen leaked at the rate of 1 cup per hour and harry drank 1 cups of water during the last mile, how many cups did he drink per mile during the first 3 miles of the hike ?\nOptions: a. 1 / 3, b. 2 / 3, c. 3 / 4, d. 5 / 4, e. 4 / 3", "output": [ "b" ] }, { "id": "task1678-c49689e90f3642fd848d3efcee8d0ba7", "input": "Problem: in a room filled with 7 people, 2 people have exactly 1 sibling in the room and 5 people have exactly 2 siblings in the room. if two individuals are selected from the room at random, what is the probability that those two individuals are not siblings ?\nOptions: a. 5 / 21, b. 3 / 7, c. 4 / 7, d. 5 / 7, e. 16 / 21", "output": [ "b" ] }, { "id": "task1678-c008b9ba7fbd43408651ed7264fa0c9f", "input": "Problem: two taps a and b can fill a cistern in 12 minutes and 18 minutes respectively. they are turned on at the same time. if the tap a is turned off after 4 minutes, how long will tap b take to fill the rest of the cistern ?\nOptions: a. 8 min., b. 9 min., c. 10 min., d. 7 min., e. none of these", "output": [ "a" ] }, { "id": "task1678-44036f9d02524a2b8ad5748e823b43d4", "input": "Problem: how many digits are in ( 8 × 10 ^ 18 ) ( 10 × 10 ^ 10 ) ?\nOptions: a. 24, b. 25, c. 26, d. 27, e. 30", "output": [ "e" ] }, { "id": "task1678-7aef9356059044bdabb27049e6f93e2c", "input": "Problem: jack and christina are standing 240 feet apart on a level surface. their dog, lindy, is standing next to christina. at the same time, they all begin moving toward each other. jack walks in a straight line toward christina at a constant speed of 3 feet per second and christina walks in a straight line toward jack at a constant speed of 3 feet per second. lindy runs at a constant speed of 10 feet per second from christina to jack, back to christina, back to jack, and so forth. what is the total distance, in feet, that lindy has traveled when the three meet at one place ?\nOptions: a. 340, b. 360, c. 380, d. 400, e. 420", "output": [ "d" ] }, { "id": "task1678-0abd47a1f337440c89f866e4bf5de1bc", "input": "Problem: the speed of a boat in still water is 60 kmph and the speed of the current is 17 kmph. find the speed downstream and upstream ?\nOptions: a. 77,43 kmph, b. 80,80 kmph, c. 80,42 kmph, d. 80,40 kmph, e. 83,40 kmph", "output": [ "a" ] }, { "id": "task1678-cbd5a5e0a3e24089afd0bc3d653818c3", "input": "Problem: a solution of 70 litres contains oil and water in the ratio 9: x. if 6 litres of water is added to the solution, the ratio becomes 6: 4, find the value of x ?\nOptions: a. 6, b. 8.5, c. 9, d. 6.5, e. 5", "output": [ "e" ] }, { "id": "task1678-74763a6ccd6a4843b7b976d3d03b0390", "input": "Problem: if an article is sold at 18 % profit instead of 11 % profit, then the profit would be $ 56 more. what is the cost price ?\nOptions: a. $ 600, b. $ 800, c. $ 1000, d. $ 1200, e. $ 1400", "output": [ "b" ] }, { "id": "task1678-233addafc284474f99c10a8ac2c07dad", "input": "Problem: if a, b, c, d, e and f are integers and ( ab + cdef ) < 0, then what is the maximum number d of integers that can be negative ?\nOptions: a. 2, b. 3, c. 4, d. 5, e. 6", "output": [ "d" ] }, { "id": "task1678-0e36e969a69c41bba21d2c9189c74fe3", "input": "Problem: a jar full of whisky contains 40 % alcohol. a part of this whisky is replaced by another containg 17 % alcohol and now the percentage of alcohol was found to be 26 %. what quantity of whisky is replaced ?\nOptions: a. 1 / 3, b. 2 / 3, c. 2 / 5, d. 3 / 5, e. 4 / 5", "output": [ "c" ] }, { "id": "task1678-a2943a95e4324fba972a919d87f88a54", "input": "Problem: the length of the rectangular field is double its width. inside the field there is square shaped pond 6 m long. if the area of the pond is 1 / 8 of the area of the field. what is the length of the field ?\nOptions: a. 24, b. 32, c. 75, d. 28, e. 11", "output": [ "a" ] }, { "id": "task1678-e5fd2dfc50a740f8aa7096c475f59e0e", "input": "Problem: the area of a triangle is with base 2 m and height 3 m ?\nOptions: a. 11, b. 10, c. 787, d. 3, e. 12", "output": [ "d" ] }, { "id": "task1678-f005fd813e014f459ebecc7348cefcba", "input": "Problem: if the price of a certain computer increased 30 percent from c dollars to 351 dollars, then 2 c =\nOptions: a. 540, b. 570, c. 619, d. 649, e. 700", "output": [ "a" ] }, { "id": "task1678-aad48a8c7dbb4639a4deb5a838d269e5", "input": "Problem: the purchase price of an article is $ 48. in order to include 5 % of cost for overhead and to provide $ 12 of net profit, the markup should be\nOptions: a. 15 %, b. 25 %, c. 30 %, d. 40 %, e. 45 %", "output": [ "c" ] }, { "id": "task1678-b798bf0c7a0d4d4d8594594e7a165c3c", "input": "Problem: a store reduced the price of all items in the store by 12 % on the first day and by another 10 % on the second day. the price of items on the second day was what percent of the price before the first reduction took place ?\nOptions: a. 80.0, b. 79.2, c. 81.0, d. 81.1, e. 81.9", "output": [ "b" ] }, { "id": "task1678-73b10f23f8b44acb8a820eec9831661d", "input": "Problem: darcy lives 1.5 miles from work. she can walk to work at a constant rate of 3 miles per hour, or she can ride the train to work at a constant rate of 20 miles per hour. if she rides the train, there is an additional x minutes spent walking to the nearest train station, waiting for the train, and walking from the final train station to her work. if it takes darcy a total of 10 more minutes to commute to work by walking than it takes her to commute to work by riding the train, what is the value of x ?\nOptions: a. 10.5, b. 15, c. 15.5, d. 30, e. 60", "output": [ "c" ] }, { "id": "task1678-ffa73f1e7f19404c907db8217e349f98", "input": "Problem: when the smallest of 3 consecutive odd integers is added to 4 times the largest, it produces a result 732 more than 4 times the middle integer. find the numbers ?\nOptions: a. 732, b. 678, c. 698, d. 710, e. 729", "output": [ "a" ] }, { "id": "task1678-a039d82572a942e4b44ba13eca99d7f1", "input": "Problem: in a particular city there are 100 homes numbered from 1, 23,.., 100. the city was build by a builder from chennai. there was 4 to 5 shops in the town which was build by a builder from mumbai. the 2 nd builder can build in 1 ½ times as compared to time by 1 st builder. the 2 nd builder builds in 15 days, then how many 2 ' s are used by the builder from chennai in numbering the 100 homes ?\nOptions: a. 17, b. 18, c. 19, d. 20, e. 21", "output": [ "d" ] }, { "id": "task1678-236308562a2a4ec2a776b8922a9ee85e", "input": "Problem: p and q can complete a work in 40 days and 24 days respectively. p alone started the work and q joined him after 8 days till the completion of the work. how long did the work last ?\nOptions: a. 5 days, b. 10 days, c. 14 days, d. 20 days, e. 26 days", "output": [ "d" ] }, { "id": "task1678-957e84cf913b42298d117375de15f859", "input": "Problem: joe needs to paint all the airplane hangars at the airport, so he buys 360 gallons of paint to do the job. during the first week, he uses 1 / 4 of all the paint. during the second week, he uses 1 / 2 of the remaining paint. how many gallons of paint has joe used ?\nOptions: a. 18, b. 225, c. 175, d. 216, e. 250", "output": [ "b" ] }, { "id": "task1678-21c1a917d4bd47edb80e7c2995a34fa0", "input": "Problem: a computer manufacturer produces a certain electronic component at a cost of $ 80 per component. shipping costs for delivering the components are $ 5 per unit. further, the manufacturer has costs of $ 16500 a month related to the electronic component regardless of how many it produces. if the manufacturer produces and sells 150 components a month, what is the lowest price it can sell them for such that the costs do n ' t exceed the revenues ?\nOptions: a. $ 28, b. $ 82, c. $ 110, d. $ 138, e. $ 195", "output": [ "e" ] }, { "id": "task1678-68affec69dd14ef48665de956f03a80d", "input": "Problem: set s consists of integers { 7, 8, 10, 12, 13 }. if integer n is included in the set, the average ( arithmetic mean ) of set s will increase by 10 %. what is the value of integer n ?\nOptions: a. 10, b. 12, c. 16, d. 22, e. 24", "output": [ "c" ] }, { "id": "task1678-33fe4100533c4f388715c1baf6a7853f", "input": "Problem: the average runs scored by a batsman in 30 matches is 50. in the next 15 matches the batsman scored an average of 26 runs. find his average in all the 45 matches ?\nOptions: a. 31, b. 42, c. 29, d. 97, e. 27", "output": [ "b" ] }, { "id": "task1678-0d4771ee62be4dcd8e35914f3532cc8c", "input": "Problem: the owner of a furniture shop charges his customer 60 % more than the cost price. if a customer paid rs. 2000 for a computer table, then what was the cost price of the computer table ?\nOptions: a. 2789, b. 2772, c. 1250, d. 6725, e. 2099", "output": [ "c" ] }, { "id": "task1678-96184686f1834293bdf8c5d352357402", "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": "task1678-199afd30f8144e1ca6eee23b60bb8817", "input": "Problem: set a { 3, 3,3, 4,5, 5,5 } has a standard deviation of 1. what will the standard deviation be if every number in the set is multiplied by 8 ?\nOptions: a. a. 1, b. b. 2, c. c. 4, d. d. 8, e. e. 16", "output": [ "d" ] }, { "id": "task1678-4703476ce3224c6a86938815a3e04b40", "input": "Problem: the length of a room is 5.5 m and width is 3.75 m. what is the cost of paying the floor by slabs at the rate of $ 600 per sq. metre.\nOptions: a. $ 12375, b. $ 13575, c. $ 16575, d. $ 14575, e. $ 18575", "output": [ "a" ] }, { "id": "task1678-47fe79e45a194335bb4f3a07f700d2d8", "input": "Problem: if n = 10 ^ 100 and n ^ n = 10 k what is the value of k ?\nOptions: a. 200, b. 10 ^ 100, c. 10 ^ 102, d. 100 ^ 100, e. 1000 ^ 10", "output": [ "c" ] }, { "id": "task1678-d95a100aab664614af31602ca6a01c62", "input": "Problem: a bag contains 30 red jellybeans and 30 blue jellybeans. if 3 jellybeans are removed one at a time, at random and are not replaced, what is the probability that all 3 jellybeans removed from the bag are blue ?\nOptions: a. 9 / 100, b. 2 / 19, c. 1 / 8, d. 1 / 20, e. 3 / 10", "output": [ "d" ] }, { "id": "task1678-c1bbef04e640466e81685502616b86c3", "input": "Problem: what is the sum of the multiples of 4 between 63 and 151 inclusive ?\nOptions: a. 2240, b. 2250, c. 2310, d. 2330, e. 2332", "output": [ "e" ] }, { "id": "task1678-112f146c1b81492eabed18ad99951251", "input": "Problem: on a certain road 10 % of the motorists exceed the posted speed limit and receive speeding tickets, but 60 % of the motorists who exceed the posted speed limit do not receive speeding tickets. what percent of the motorists on the road exceed the posted speed limit ?\nOptions: a. 10.5 %, b. 12.5 %, c. 15 %, d. 22 %, e. 25 %", "output": [ "e" ] }, { "id": "task1678-3eccea851b5d4314a6580597522d16bd", "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": "task1678-668afff6420f4ac0a806a1b4d36921c9", "input": "Problem: car dealership x, the total profit from sales increased by 12 percent over the previous years, while the number of cars sold decreased by 12 percent over the previous years. approximately what was the average percent increase in profit per car over the previous year.\nOptions: a. 18 %, b. 20 %, c. 22 %, d. 27.27 %, e. 35 %", "output": [ "d" ] }, { "id": "task1678-4bee6d009f514563b300382b9be8a3f0", "input": "Problem: a group of students decided to collect as many paise from each member of group as is the number of members. if the total collection amounts to rs. 46.24, the number of the member is the group is :\nOptions: a. 57, b. 68, c. 77, d. 87, e. 97", "output": [ "b" ] }, { "id": "task1678-8d931a959e8349cba3c6dace41f97d30", "input": "Problem: arnold and danny are two twin brothers that are celebrating their birthday. the product of their ages today is smaller by 15 from the product of their ages a year from today. what is their age today ?\nOptions: a. 2., b. 4., c. 5., d. 7., e. 9.", "output": [ "d" ] }, { "id": "task1678-371047fe29d94d2fb8a4e91dabbf8cd2", "input": "Problem: for how many unique pairs of nonnegative integers { a, b } is the equation a ^ 2 - b ^ 2 = 99 true ?\nOptions: a. 1, b. 3, c. 5, d. 7, e. 9", "output": [ "b" ] }, { "id": "task1678-103881889ba14baeaff524388a42a71a", "input": "Problem: how many positive integers less than 100 are there such that they are multiples of 8 or multiples of 7 but not both ?\nOptions: a. 21, b. 22, c. 25, d. 24, e. 31", "output": [ "d" ] }, { "id": "task1678-c8966329ac5f4df8837f279c654b7623", "input": "Problem: when x is multiplied by 2, the result is 19 more than the result of subtracting x from 26. what is the value of x ?\nOptions: a. - 4, b. - 2, c. 15, d. 13, e. 22", "output": [ "c" ] }, { "id": "task1678-14df4cc49b924ee18353c3880caa38f9", "input": "Problem: if - 3 x + 5 y = 48 and 3 x - 2 y = 6, what is the product of x and y ?\nOptions: a. 252, b. 428, c. 464., d. 200, e. 642", "output": [ "a" ] }, { "id": "task1678-72024ee842c04a989cc8163c79568ea4", "input": "Problem: a can give b 60 meters start and c 200 meters start in a kilometer race. how much start can b give c in a kilometer race ?\nOptions: a. 148.94, b. 148.13, c. 148.22, d. 111.0, e. 111.12", "output": [ "a" ] }, { "id": "task1678-1f35c591315c4dbaa7710d44684a4ae8", "input": "Problem: kim finds a 6 - meter tree branch and marks it off in thirds and fifths. she then breaks the branch along all the markings and removes one piece of every distinct length. what fraction of the original branch remains ?\nOptions: a. 7 / 5, b. 1 / 2, c. 8 / 15, d. 2 / 5, e. 3 / 5", "output": [ "e" ] }, { "id": "task1678-90b990b8ca154493bcfcf475211f0a81", "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": "task1678-e06cd72bc7b5481da734c1975b3134b8", "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": "task1678-44caa15d1e8d43e3a1497dd0c39a8127", "input": "Problem: alan buys 4 tvs, a 26 inch, a 28 inch, a 30 inch, and a 32 inch, for his new house. each tv costs $ 200 more than the size below it. alan spends a total of $ 3,600. how much would he have spent if he had bought only the 28 inch and 30 inch tvs ?\nOptions: a. 850, b. 1,100, c. 1,800, d. 2,550, e. 3,400", "output": [ "c" ] }, { "id": "task1678-f98a46eef7db40a1b698bfd9cd1e7069", "input": "Problem: the average of marks obtained by 120 boys was 38. if the average of marks of passed boys was 39 and that of failed boys was 15, the number of boys who passed the examination is ?\nOptions: a. 100, b. 110, c. 115, d. 125, e. 140", "output": [ "c" ] }, { "id": "task1678-3231789bf4464d97817f5dc0a2f2be18", "input": "Problem: if x, y, and z are positive integers, and 2 x = 5 y = 8 z, then the least possible value of x + y + z is\nOptions: a. 15, b. 28, c. 33, d. 42, e. 60", "output": [ "c" ] }, { "id": "task1678-01281a27cbc74fc7abc977375c34541d", "input": "Problem: john and beth each drove from smallville to crown city by different routes. john drove an an average speed of 40 miles per hour and completed the trip in 30 minutes. beth ' s route was 5 miles longer, and it took her 20 minutes more than john to complete the trip. how many miles per hour was beth ' s average speed on this trip ?\nOptions: a. 24, b. 30, c. 48, d. 54, e. 75", "output": [ "b" ] }, { "id": "task1678-eedeb3022b784757bac604d05b398ff0", "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": "task1678-ac9028478a0a4f4fab41a36a7e6e0462", "input": "Problem: the sum of the first n positive perfect squares, where n is a positive integer, is given by the formula n ^ 3 / 3 + c * n ^ 2 + n / 6, where c is a constant. what is the sum of the first 17 positive perfect squares ?\nOptions: a. 1,010, b. 1,164, c. 1,240, d. 1,316, e. 1,785", "output": [ "e" ] }, { "id": "task1678-2ff273a55985486b96b8c20fd7079f1e", "input": "Problem: 5 men are equal to as many women as are equal to 8 boys. all of them earn rs. 180 only. men â € ™ s wages are ?\nOptions: a. 6 rs, b. 2 rs, c. 4 rs, d. 9 rs, e. 12 rs", "output": [ "e" ] }, { "id": "task1678-08493eae2a7742ddbe9fe712468829ce", "input": "Problem: a train is 250 meter long is running at a speed of 36 km / hour. in what time will it pass a station of 200 meter length ?\nOptions: a. 28 seconds, b. 27 seconds, c. 45 seconds, d. 26 seconds, e. 18 seconds", "output": [ "c" ] }, { "id": "task1678-7691cafbfe7b474bbd0a329f43dcfe97", "input": "Problem: a group of students decided to collect as many paise from each member of group as is the number of members. if the total collection amounts to rs. 72.25, the number of the member is the group is :\nOptions: a. 57, b. 67, c. 77, d. 85, e. 97", "output": [ "d" ] }, { "id": "task1678-bb16be10cf2546e581a77daac3e9b7eb", "input": "Problem: triangle atriangle b are similar triangles with areas 2023 units square and 1792 units square respectively. the ratio of there corresponding height would be\nOptions: a. 9: 10, b. 17: 16, c. 23: 27, d. 13: 17, e. 15: 23", "output": [ "b" ] }, { "id": "task1678-1b8531ef274246c8a9099da8e3175478", "input": "Problem: two trains each 120 m in length each, are running on two parallel lines in opposite directions. if one goes at the speed of 85 km / h while the other travels at 65 km / h. how long will it take for them to pass each other completely.\nOptions: a. 11.07 sec, b. 10.07 sec, c. 13.07 sec, d. 12.07 sec, e. 14.07 sec", "output": [ "b" ] }, { "id": "task1678-55d27cb45a4a4bd59176a56ad12ac420", "input": "Problem: john invests $ x at the semi - annual constant compounded rate of 2 percent and also does $ 15,000 at the quarterly constant compounded rate of 4 percent. if the interests are the same after 1 year, what is the value of x ? ?\nOptions: a. 20000, b. 30000, c. 40000, d. 30301.5, e. 50000", "output": [ "d" ] }, { "id": "task1678-aac63aba182f499daba80c3f5d3c6e5a", "input": "Problem: the length of a rectangle is reduced by 20 %. by what % would the width have to be increased to maintainthe original area ?\nOptions: a. 14 %, b. 15 %, c. 25 %, d. 30 %, e. 35 %", "output": [ "c" ] }, { "id": "task1678-70a288a3d76e456bafa3879630b9c4b6", "input": "Problem: find the area of a parallelogram with base 10 cm and height 20 cm.\nOptions: a. 200, b. 384, c. 200, d. 244, e. 242", "output": [ "c" ] }, { "id": "task1678-b888c3b23efe40a5afe83a507b3bbec2", "input": "Problem: a train covers a distance in 50 min, if it runs at a speed of 48 kmph on an average. the speed at which the train must run to reduce the time of journey to 40 min will be.\nOptions: a. 60 kmph, b. 63 kmph, c. 57 kmph, d. 70 kmph, e. 61 kmph", "output": [ "a" ] }, { "id": "task1678-3494099c44f34a26b00e67097fd166ad", "input": "Problem: if y > 0, ( 2 y ) / 10 + ( 3 y ) / 10 is what percent of y ?\nOptions: a. 40 %, b. 50 %, c. 60 %, d. 70 %, e. 80 %", "output": [ "b" ] }, { "id": "task1678-913e2765283f41e1b95a03fd57de6fef", "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": "task1678-3e864e8feed44337a8eb3b08d9277e05", "input": "Problem: the area of a rectangular plot is 15 times its breadth. if the difference between the length and the breadth is 10 metres, what is its breadth ?\nOptions: a. 10 metres, b. 5 metres, c. 7.5 metres, d. data inadequate, e. none of these", "output": [ "b" ] }, { "id": "task1678-723277baa0a94b468326013c988e0b66", "input": "Problem: what could be the range of a set consisting of odd multiples of 9 ?\nOptions: a. 21, b. 24, c. 35, d. 72, e. 70", "output": [ "d" ] }, { "id": "task1678-6c4be02070c04196a2f0ac0cc04c6333", "input": "Problem: the compound interest earned by sunil on a certain amount at the end of two years at the rate of 10 % p. a. was rs. 420. find the total amount that sunil got back at the end of two years in the form of principal plus interest earned.\nOptions: a. rs. 2530, b. rs. 2430, c. rs. 2420, d. rs. 2410, e. rs. 2440", "output": [ "c" ] }, { "id": "task1678-bcf9e8b842794582a18d2babc271e09c", "input": "Problem: sandy walked 20 meters towards south. then sandy turned to her left and walked 20 meters. she then turned to her left and walked 20 meters. she then turned to her right and walked 25 meters. what distance is she from the starting point and in which direction ?\nOptions: a. 35 m east, b. 35 m north, c. 30 m west, d. 45 m west, e. 45 m east", "output": [ "e" ] }, { "id": "task1678-661480716101427481672d7ca24a7204", "input": "Problem: the weight of every type a widget is the same, the weight of every type b widget is the same, and the weight of every type c widget is the same. if the weight of 7 type a widgets is equal to the weight of 4 type b widgets, and the weight of 3 type b widgets is equal to the weight of 7 type c widgets. what is the ratio of the total weight of 1 type a widget and 1 type b widget, to the total weight of 1 type b widget and 1 type c widget ?\nOptions: a. 5: 4, b. 7: 6, c. 9: 8, d. 11: 10, e. 13: 12", "output": [ "d" ] }, { "id": "task1678-7ee38379cceb41e9a0b43c380d2be5c4", "input": "Problem: a man can swim in still water at 3 km / h, but takes twice as long to swim upstream than downstream. the speed of the stream is ?\nOptions: a. 1.7, b. 1.4, c. 1.1, d. 1.5, e. 1", "output": [ "e" ] }, { "id": "task1678-deecb9584ffa43cca519bd040f1f4ac6", "input": "Problem: a man gains 30 % by selling an article for a certain price. if he sells it at double the price, the percentage of profit will be.\nOptions: a. 130 %, b. 140 %, c. 150 %, d. 260 %, e. 170 %", "output": [ "d" ] }, { "id": "task1678-d5fd150611a34e9ca4a914f8398315b2", "input": "Problem: a train traveled the first d miles of its journey it an average speed of 50 miles per hour, the next d miles of its journey at an average speed of y miles per hour, and the final d miles of its journey at an average speed of 160 miles per hour. if the train ’ s average speed over the total distance was 96 miles per hour, what is the value of y ?\nOptions: a. 68, b. 84, c. 90, d. 120, e. 160", "output": [ "e" ] }, { "id": "task1678-bcc007ca4b0b4511a8c48e8fd071ddb0", "input": "Problem: 2 persons can finish a job in 8 days. first person alone can finish the work in 24 days. how many days does the second person take to finish the job ?\nOptions: a. 10 days, b. 12 days, c. 14 days, d. 16 days, e. 18 days", "output": [ "b" ] }, { "id": "task1678-e161bb1538bb4773a1ebb2c3a27319f2", "input": "Problem: a cistern is filled by pipe a in 12 hours and the full cistern can be leaked out by an exhaust pipe b in 18 hours. if both the pipes are opened, in what time the cistern is full ?\nOptions: a. 50 hrs, b. 60 hrs, c. 36 hrs, d. 80 hrs, e. 90 hrs", "output": [ "c" ] }, { "id": "task1678-0e58c71ec0b1488f881fc0074f5a8c1e", "input": "Problem: | x + 3 | – | 4 - x | = | 8 + x | how many x solutions will this equation have ?\nOptions: a. 0, b. 1, c. 2, d. 3, e. 4", "output": [ "a" ] }, { "id": "task1678-9c1aa740efb6486c9d027ffdbfed9519", "input": "Problem: of the 100 employees at company x, 80 are full - time, and 100 have worked at company x for at least a year. there are 20 employees at company x who aren ’ t full - time and haven ’ t worked at company x for at least a year. how many full - time employees of company x have worked at the company for at least a year ?\nOptions: a. 20, b. 30, c. 50, d. 80, e. 100", "output": [ "a" ] }, { "id": "task1678-934aed126d4a4882b3e62401b9985d88", "input": "Problem: a number x is multiplied by 3, and this product is then divided by 7. if the positive square root of the result of these two operations equals x, what is the value of x if x ≠ 0 ?\nOptions: a. 25 / 9, b. 3 / 7, c. 5 / 3, d. 3 / 5, e. 9 / 25", "output": [ "b" ] }, { "id": "task1678-0588072ac80d4b568a1986cda45f5414", "input": "Problem: the list price of an article is rs. 70. a customer pays rs. 56.16 for it. he was given two successive discounts, one of them being 10 %. the other discount is ?\nOptions: a. 10.85 %, b. 14.85 %, c. 15.85 %, d. 16.85 %, e. 17.85 %", "output": [ "a" ] }, { "id": "task1678-4853518c963a413d84eafb36b1fd97f3", "input": "Problem: a man swims downstream 42 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water ?\nOptions: a. 2, b. 8, c. 9, d. 6, e. 10", "output": [ "e" ] }, { "id": "task1678-82aef598cea54cb0aaaf637af616316b", "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": "task1678-08ad34fe9ba84061965492e952e0b37e", "input": "Problem: joan took out a mortgage from hel local bank. each monthly mortgage payment she makes must be triple the amount of the previous month ' s payment. if her first payment is $ 100, and the total amount she must pay back is $ 914800, how many months will it take joan to pay back her mortgage ?\nOptions: a. 6, b. 8, c. 10, d. 9, e. 13", "output": [ "d" ] }, { "id": "task1678-3c32bd5ce8f04e798fc74ebae67824ea", "input": "Problem: 5 20 380 144020 ?\nOptions: a. 20741616380, b. 20841616380, c. 21741616380, d. 22741616380, e. 20791616380", "output": [ "a" ] }, { "id": "task1678-f6797c11a4224159b9c156217b214cfd", "input": "Problem: the dimensions of a room are 25 feet * 15 feet * 12 feet. what is the cost of white washing the four walls of the room at rs. 7 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each ?\nOptions: a. s. 4538, b. s. 6342, c. s. 4518, d. s. 4530, e. s. 4517", "output": [ "b" ] }, { "id": "task1678-4385ad1b35fb4a94979920bbdd321c49", "input": "Problem: two trains travel in opposite directions at 36 kmph and 45 kmph and a man sitting in slower train passes the faster train in 8 seconds. the length of the faster train is\nOptions: a. 80 m, b. 100 m, c. 120 m, d. 180 m, e. 160 m", "output": [ "b" ] }, { "id": "task1678-182724a5c0164c46a7a38b370bcea769", "input": "Problem: if the mean of numbers 28, x, 42, 78 and 104 is 62, then what is the mean of 128, 255, 280, 511, 1023 and x ?\nOptions: a. 395, b. 375.8, c. 355, d. 415, e. 365", "output": [ "b" ] }, { "id": "task1678-72e71ecd88634faaa42ee2933331c3be", "input": "Problem: the grade point average of the entire class is 80. if the average of one fourth of the class is 92, what is the average of the rest of the class ?\nOptions: a. 73, b. 74, c. 75, d. 76, e. 77", "output": [ "d" ] }, { "id": "task1678-16d910fd287a4ccb983b433422db9551", "input": "Problem: the compound interest earned on a sum for the second and the third years are $ 1200 and $ 1260 respectively. what is the rate of interest ?\nOptions: a. 5 %, b. 8 %, c. 11 %, d. 14 %, e. 18 %", "output": [ "a" ] }, { "id": "task1678-6d6550ba8632458d9582c4ce75e12701", "input": "Problem: a fair 2 sided coin is flipped 7 times. what is the probability that tails will be the result at least twice, but not more than 7 times ?\nOptions: a. 119 / 128, b. 120 / 113, c. 114 / 210, d. 121 / 141, e. 104 / 117", "output": [ "a" ] }, { "id": "task1678-670fa8f1e4ab4a75aae972f1b624b2eb", "input": "Problem: in february wilson ’ s earnings were 40 percent of his family ’ s total income. in march wilson earned 25 percent less than in february. if the rest of his family ’ s income was the same in both months, then, in march, wilson ’ s earnings were approximately what percent q of his family ’ s total income ?\nOptions: a. 15 %, b. 17 %, c. 24 %, d. 30 %, e. 33 %", "output": [ "e" ] }, { "id": "task1678-f9438edef2ef438d80ca8aafbed2b9c1", "input": "Problem: the s. i. on a certain sum of money for 2 years at 4 % per annum is half the c. i. on rs. 4000 for 2 years at 10 % per annum. the sum placed on s. i. is ?\nOptions: a. 5250, b. 1267, c. 5750, d. 2267, e. 5262", "output": [ "a" ] }, { "id": "task1678-bba9529825494fafb2536e1d0d714756", "input": "Problem: a gardener grows cabbages in her garden that is in the shape of a square. each cabbage takes 1 square feet of area in her garden. this year, she has increased her output by 181 cabbages as compared to last year. the shape of the area used for growing the cabbages has remained a square in both these years. how many cabbages did she produce this year ?\nOptions: ['a. 6564', 'b. 7372', 'c. 8281', 'd. 9331', 'e. can not be determined']", "output": [ "c" ] }, { "id": "task1678-22bce1c53f8d4ef58a3316846e3e01d1", "input": "Problem: a survey of employers found that during 1993 employment costs rose 3.5 percent, where employment costs consist of salary costs and fringe - benefit costs. if salary costs rose 3 percent and fringe - benefit costs rose 9.5 percent during 1993, then fringe - benefit costs represented what percent of employment costs at the beginning of 1993 ?\nOptions: a. 16.5 %, b. 8 %, c. 35 %, d. 55 %, e. 65 %", "output": [ "b" ] }, { "id": "task1678-19f34992d4ca49a9bf89f6431ef08e3d", "input": "Problem: how many of the positive divisors of 720 are also multiples of 4 not including 720 ?\nOptions: a. 11, b. 12, c. 17, d. 18, e. 24", "output": [ "c" ] }, { "id": "task1678-c38e1b0effa549358f92d14e1f9d54e3", "input": "Problem: ( p / q - q / p ) = 21 / 10. then find 4 p / q + 4 q / p ?\nOptions: a. 58 / 9, b. 58 / 5, c. 58 / 7, d. 58 / 2, e. 58 / 1", "output": [ "b" ] }, { "id": "task1678-7a0cebef8087485888c36d60152e695b", "input": "Problem: a jar was full with honey. a person used to draw out 20 % of the honey from the jar and replaced it with sugar solution. he has repeated the same process 4 times and thus there was only 512 gm of honey left in the jar, the rest part of the jar was filled with the sugar solution. the initial amount of honey in the jar was filled with the sugar solution. the initial amount of honey in the jar was :\nOptions: a. 1.25 kg, b. 1.29 kg, c. 1.85 kg, d. 3.25 kg, e. 1.23 kg", "output": [ "a" ] }, { "id": "task1678-20ae40b6c3a8498187c33472aa23ef7e", "input": "Problem: a pupil ' s marks were wrongly entered as 85 instead of 45. due to that the average marks for the class got increased by half. the number of pupils in the class is :\nOptions: a. 30, b. 80, c. 20, d. 25, e. 26", "output": [ "b" ] }, { "id": "task1678-4a5499b04f6441bd8c307e968e5d407c", "input": "Problem: carl is facing very difficult financial times and can only pay the interest on a $ 8,000 loan he has taken. the bank charges him a quarterly compound rate of 5 %. what is the approximate interest he pays annually ?\nOptions: a. $ 1200, b. $ 2000, c. $ 2150, d. $ 2500, e. $ 1600", "output": [ "e" ] }, { "id": "task1678-c38d3b568f324f288d8e1191f2de69eb", "input": "Problem: the ratio of two numbers is 2 / 3, and if a 1 is subtracted from the numerator and a 1 is added to the remainder the ratio becomes 1 / 2, then the numbers are.\nOptions: a. 6 and 9, b. 6 and 10, c. 6 and 8, d. 6 and 7, e. 6 and 11", "output": [ "a" ] }, { "id": "task1678-2e4b7ac7490e4c77b2b6c851f5fd9be6", "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": "task1678-779d715cb5e24625921d8cd89d365c87", "input": "Problem: two cubes of their volumes in the ratio 64: 125. the ratio of their surface area is :\nOptions: a. 1.5: 5, b. 2: 5, c. 3: 5, d. 1: 5, e. 4: 5", "output": [ "e" ] }, { "id": "task1678-3ee145a2c52044c5833fdce970ffab18", "input": "Problem: if the average of 16 x and 8 y is greater than 80, and x is twice y, what is the least integer value of x ?\nOptions: a. 8, b. 9, c. 10, d. 11, e. 12", "output": [ "a" ] }, { "id": "task1678-ed3eabe3b6b84c43801f9a712a0fc8e0", "input": "Problem: what is the square root of 168,921 ?\nOptions: a. 476, b. 389, c. 497, d. 411, e. 524", "output": [ "d" ] }, { "id": "task1678-d220728fc5b64db0a1f608225f37c4d1", "input": "Problem: if the arithmetic mean of p and q is 10 and the arithmetic mean of q and r is 22, what is the value of r - p ?\nOptions: a. 20, b. 10, c. 30, d. 24, e. 5", "output": [ "d" ] }, { "id": "task1678-3b022756406a4e53a003893d783672bf", "input": "Problem: a man is 28 years older than his son. in two years, his age will be twice the age of his son. the present age of the son is ?\nOptions: a. 16, b. 19, c. 15, d. 26, e. 10", "output": [ "d" ] }, { "id": "task1678-b8eafd324616482cbfe7352d548ec36e", "input": "Problem: in an examination, 30 % of total students failed in hindi, 42 % failed in english and 28 % in both. the percentage of these who passed in both the subjects is :\nOptions: a. 23, b. 37, c. 56, d. 40, e. 81", "output": [ "c" ] }, { "id": "task1678-2d66352611834e7f8e7afcc112f435c9", "input": "Problem: a person purchases 90 clocks and sells 40 clocks at a gain of 10 % and 50 clocks at a gain of 20 %. if he sold all of them at a uniform profit of 15 %, then he would have got rs. 40 less. the cost price of each clock is: ?\nOptions: a. 40, b. 60, c. 80, d. 67, e. 30", "output": [ "c" ] }, { "id": "task1678-171b968fffef46e68ddd04808cc1cbe3", "input": "Problem: two trains travelling in the same direction at 50 and 40 kmph completely pass off another in 1 1 / 2 minute. if the length of the first train is 125 m, what is the length of the second train ?\nOptions: a. 300 m, b. 287 m, c. 125 m, d. 250 m, e. 167 m", "output": [ "c" ] }, { "id": "task1678-6fb385d28afb4d1ca064483d15be6576", "input": "Problem: a man can row upstream at 25 kmph and downstream at 31 kmph, and then find the speed of the man in still water ?\nOptions: a. 22, b. 28, c. 30, d. 27, e. 18", "output": [ "b" ] }, { "id": "task1678-b85777d1d1cc4fe096f60aa1bfabe45b", "input": "Problem: a, b, c can complete a piece of work in 24, 8,12 days. working together, they complete the same work in how many days ?\nOptions: a. 4, b. 4 / 5, c. 7 / 9, d. 10, e. 24 / 7", "output": [ "a" ] }, { "id": "task1678-d27d0c6b226d4d4e828aea5df462f3ef", "input": "Problem: a cricket player whose bowling average was 23.50 runs per wicket, takes 5 wicket for 52 runs in a match. due to this his average decreases by 0.50. what will be the number of wickets taken by him till the last match ?\nOptions: a. 64, b. 72, c. 131, d. 456, e. 108", "output": [ "c" ] }, { "id": "task1678-3d7b468b32ee43828523fd832ec61131", "input": "Problem: on dividing 52 by a number, the quotient is 16 and the remainder is 4. find the divisor ?\nOptions: a. 1, b. 3, c. 5, d. 7, e. 9", "output": [ "b" ] }, { "id": "task1678-8567a5dfb289493e869611e9055bebe4", "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": "task1678-3f69be1cf05944b381d86e83fac0ee82", "input": "Problem: jim â € ™ s taxi service charges an initial fee of $ 2.5 at the beginning of a trip and an additional charge of $ 0.35 for each 2 / 5 of a mile traveled. what is the total charge for a trip of 3.6 miles ?\nOptions: a. $ 3.15, b. $ 4.45, c. $ 4.80, d. $ 5.65, e. $ 5.40", "output": [ "d" ] }, { "id": "task1678-2d1cd23765354f6093b8752a4066e6d4", "input": "Problem: if the dimensions of a certain rectangular box are 5 inches by 2 inches by 3 inches, then the face of greatest area is of what area ?\nOptions: ['a. 225 square inches', 'b. 45 square inches', 'c. 25 square inches', 'd. 15 square inches', 'e. 10 square inches']", "output": [ "d" ] }, { "id": "task1678-a15f57e283e44dc88e9bd1152b8ae077", "input": "Problem: at a certain university, 66 % of the professors are women, and 70 % of the professors are tenured. if 90 % of the professors are women, tenured, or both, then what percent of the men are tenured ?\nOptions: a. 25, b. 37.5, c. 60, d. 62.5, e. 75", "output": [ "c" ] }, { "id": "task1678-00ec2d490e3c42eb862b921ff4cc40cc", "input": "Problem: a farmer spent $ 35 on feed for chickens and goats. he spent 40 % money on chicken feed, which he bought at a 50 % discount off the full price, and spent the rest on goat feed, which he bought at full price. if the farmer had paid full price for both the chicken feed and the goat feed, what amount would he have spent on the chicken feed and goat feed combined ?\nOptions: a. $ 37.80, b. $ 49, c. $ 39.20, d. $ 39.50, e. $ 40.60", "output": [ "b" ] }, { "id": "task1678-8df9ef32c64a4e56ab28b657cbf364f7", "input": "Problem: excluding stoppages, the speed of a bus is 58 kmph and including stoppages, it is 40 kmph. for how many minutes does the bus stop per hour ?\nOptions: a. 19, b. 19.13, c. 10.5, d. 11.35, e. none of these", "output": [ "a" ] }, { "id": "task1678-16ba362887c649109e68022e81707d47", "input": "Problem: the average salary of the employees in a office is rs. 120 / month. the avg salary of officers is rs. 430 and of non officers is rs 110. if the no. of officers is 15, then find the no of nonofficers in the office.\nOptions: a. 400, b. 465, c. 430, d. 450, e. 510", "output": [ "b" ] }, { "id": "task1678-85966a82f29a418792044c63a7228807", "input": "Problem: what is the 149 th digit to the right of the decimal point in the decimal form of 30 / 33 ?\nOptions: a. 5, b. 6, c. 9, d. 0, e. 1", "output": [ "c" ] }, { "id": "task1678-d2615a7427c4453aa77571603910a758", "input": "Problem: the salary of a person was reduced by 14 %. by what percent should his reduced salary be raised so as to bring it at par with his original salary ?\nOptions: a. 10 %, b. 16.3 %, c. 13.7 %, d. 15.1 %, e. 12.3 %", "output": [ "b" ] }, { "id": "task1678-9077f39e619a42d1be09a2582e4f3505", "input": "Problem: 11 times a number gives 132. the number is\nOptions: a. 11, b. 12, c. 13.2, d. none, e. can not be determined", "output": [ "b" ] }, { "id": "task1678-5a192d63d5074b7e887ab330d59fa8f0", "input": "Problem: a bullet train covers a distance in 50 min, if it runs at a speed of 48 kmph on an average. the speed at which the bullet train must run to reduce the time of journey to 40 min will be.\nOptions: a. 80 kmph, b. 40 kmph, c. 60 kmph, d. 90 kmph, e. 30 kmph", "output": [ "c" ] }, { "id": "task1678-04371d0cb8e54160be15155f137dcd14", "input": "Problem: the area of a triangle is with base 12 m and height 5 m ?\nOptions: a. 88 m 2, b. 30 m 2, c. 66 m 2, d. 77 m 2, e. 31 m 2", "output": [ "b" ] }, { "id": "task1678-9dd69d8c9aeb42c7b569f8a420443a06", "input": "Problem: what is the probability of randomly selecting one of the shortest diagonals from all the diagonals of a regular decagon ( 10 - sided polygon ) ?\nOptions: a. 3 / 10, b. 2 / 5, c. 2 / 7, d. 10 / 21, e. 5 / 11", "output": [ "c" ] }, { "id": "task1678-f6f1feecc7c04db5a0822ddd56839395", "input": "Problem: one half of a two digit number exceeds its one third by 9. what is the sum of the digits of the number ?\nOptions: a. a. 3, b. b. 5, c. c. 7, d. d. 9, e. e. 11", "output": [ "d" ] }, { "id": "task1678-65b536c4e90744fe9649773ad8899570", "input": "Problem: sheila works 8 hours per day on monday, wednesday and friday, and 6 hours per day on tuesday and thursday. she does not work on saturday and sunday. she earns $ 360 per week. how much does she earn in dollars per hour ?\nOptions: a. 11, b. 10, c. 9, d. 8, e. 7", "output": [ "b" ] }, { "id": "task1678-4779dd1ffb924f7eb781c54c0c98618d", "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": "task1678-6f0979b5a1764b43a3b545df57e36ff1", "input": "Problem: the difference between the place values of two nines in the numerical 62039295 is\nOptions: a. 89, b. 891, c. 8910, d. 0, e. none of them", "output": [ "c" ] }, { "id": "task1678-70477ee80375415d99fb3ab2e67dbaf6", "input": "Problem: dacid obtained 90, 92, 85, 87 and 85 marks ( out of 100 ) in english, mathematics, physics, chemistry and biology. what are his average marks ?\nOptions: a. 67, b. 26, c. 88, d. 90, e. 75", "output": [ "c" ] }, { "id": "task1678-3d035f3c31d243839693c0d57d830188", "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": "task1678-13509c525d584ea894fd6e971ea268f3", "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": "task1678-33b6dbf97ab44f05a1e29739a361a8e2", "input": "Problem: the sum of ages of 5 children born at the intervals of 3 years each is 55 years. what is the age of the youngest child ?\nOptions: a. 5 years, b. 4 years, c. 6 years, d. 7 years, e. 8 years", "output": [ "a" ] }, { "id": "task1678-db387b15a5c9455bbbb5d1bb9b671da1", "input": "Problem: a man invested rs. 14,400 in rs. 100 shares of a company at 25 % premium. if the company declares 5 % dividend at the end of the year, then how much does he get ?\nOptions: a. rs. 576, b. rs. 600, c. rs. 650, d. rs. 720, e. none", "output": [ "a" ] }, { "id": "task1678-6aac0a49f90745ca858ce65a48a66bb3", "input": "Problem: a ladder 22 feet long is leaning against a wall that is perpendicular to level ground. the bottom of the ladder is 7 feet from the base of the wall. if the top of the ladder slips down 3 feet, how many feet will the bottom of the ladder slip ?\nOptions: a. 12.86, b. 15, c. 18, d. 19, e. 25", "output": [ "a" ] }, { "id": "task1678-605d3d04a0c646feb9a69c28befc5ac1", "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": "task1678-19bee5a3d02140cc9c4b27bdda888254", "input": "Problem: if a tire rotates at 400 revolutions per minute when the car is traveling 24 km / h, what is the circumference of the tire ?\nOptions: a. 1 meters, b. 6 meters, c. 5 meters, d. 3 meters, e. 7 meters", "output": [ "a" ] }, { "id": "task1678-9f1ce65444ad4d38b9f65bf556a8c360", "input": "Problem: a can do a work in 15 days and b in 20 days. if they work on it together for 7 days, then the fraction of the work that is left is\nOptions: a. 8 / 17, b. 7 / 15, c. 3 / 15, d. 8 / 15, e. 11 / 60", "output": [ "e" ] }, { "id": "task1678-38e9cc2105b04a31baa08e4478169977", "input": "Problem: workers decided to raise rs. 3 lacs by equal contribution from each. had they contributed rs. 50 eachextra, the contribution would have been rs. 3.75 lacs. how many workers were they ?\nOptions: a. 220, b. 230, c. 500, d. 1500, e. 590", "output": [ "d" ] }, { "id": "task1678-82fec922137a4f4084c1abd5b8ac22a9", "input": "Problem: 40 % of a number is added to 60, the result is the same number. find the number ?\nOptions: a. 300, b. 288, c. 270, d. 100, e. 281", "output": [ "d" ] }, { "id": "task1678-6a42c001fdb24e96b4bffb7060d70dfa", "input": "Problem: in right triangle abc, ac is the hypotenuse. if ac is 35 and ab + bc = 55, what is the area of the triangle abc ?\nOptions: a. 225, b. 450, c. 25 √ 2, d. 200, e. 200 √ 2", "output": [ "b" ] }, { "id": "task1678-6ded9f1c7edb4ccdb336888161725170", "input": "Problem: what is the smallest integer that is multiple of 5, 711\nOptions: a. a. 70, b. b. 35, c. c. 385, d. d. 280, e. e. 140", "output": [ "c" ] }, { "id": "task1678-205540ad39c747c5bb4b320b9959e008", "input": "Problem: jack and jill are marathon runners. jack can finish a marathon ( 42 km ) in 7 hours and jill can run a marathon in 4.2 hours. what is the ratio of their average running speed ? ( jack: jill )\nOptions: a. 14 / 15, b. 15 / 14, c. 5 / 5, d. 5 / 4, e. can not be determined", "output": [ "c" ] }, { "id": "task1678-eb405f370b7f48ee82aaffb3d6669c8b", "input": "Problem: the average waight of a, b, c is 45 kg. the avgwgt of a & b be 40 kg & that of b, c be 43 kg. find the wgt of b.\nOptions: a. 23 kg, b. 43 kg, c. 21 kg, d. 31 kg, e. 43 kg", "output": [ "d" ] }, { "id": "task1678-848c5f3a5a08438999e21df6957517fe", "input": "Problem: a father is now 3 times as old as his son. 8 years back, he was 4 times as old as his son. the age of the son ( in years ) is\nOptions: a. 12, b. 24, c. 18, d. 27, e. 25", "output": [ "b" ] }, { "id": "task1678-52fa1c08a07244bdb466824011f9bfd6", "input": "Problem: a certain social security recipient will receive an annual benefit of $ 12,000 provided he has annual earnings of $ 9,360 or less, but the benefit will be reduced by $ 1 for every $ 3 of annual earnings over $ 9,360. what amount of total annual earnings would result in a 40 percent reduction in the recipient ' s annual social security benefit ? ( assume social security benefits are not counted as part of annual earnings. )\nOptions: a. $ 15,360, b. $ 17,360, c. $ 18,000, d. $ 21,360, e. $ 30,960", "output": [ "e" ] }, { "id": "task1678-cb3c2dc5267b45e9af871c0dfcd0a7d9", "input": "Problem: in a house a hall is 20 m long, 15 m wide and 5 m high. its interior has to be covered with mat. what will be the total expenditure if it costs rs. 40 per square m ?\nOptions: a. s. 43000, b. s. 50000, c. s. 57000, d. s. 38000, e. s. 62000", "output": [ "d" ] }, { "id": "task1678-5f52e977985e4b209ce74923ab9f44ed", "input": "Problem: at a restaurant, glasses are stored in two different - sized boxes. one box contains 12 glasses, and the other contains 16 glasses. if the average number of glasses per box is 15, and there are 16 more of the larger boxes, what is the total number of glasses e at the restaurant ? ( assume that all boxes are filled to capacity. )\nOptions: a. 96, b. 240, c. e = 256, d. e = 384, e. e = 480", "output": [ "e" ] }, { "id": "task1678-2dfea7d32ec64f9bbe35033a45640b6e", "input": "Problem: rajani has to read a book of 445 pages. she has already read the first 157 pages of the book and if she reads 24 pages of the book everyday then how long will she take now to complete the book ?\nOptions: a. 25 days, b. 20 days, c. 46 days, d. 21 days, e. none of these", "output": [ "e" ] }, { "id": "task1678-ed336a9b337249d6b9d358433df9416f", "input": "Problem: when positive integer n is divided by 3, the remainder is 1. when n is divided by 7, the remainder is 5. what is the smallest positive integer k such that k + n is a multiple of 21 ?\nOptions: a. 2, b. 4, c. 6, d. 8, e. 10", "output": [ "a" ] }, { "id": "task1678-5041a65c0b8a4c089cf92d3303548faf", "input": "Problem: a sum of money becomes 7 / 6 of itself in 7 years at a certain rate of simple interest. the rate per annum is ?\nOptions: a. 50 / 13, b. 50 / 17, c. 50 / 19, d. 50 / 21, e. 50 / 23", "output": [ "d" ] }, { "id": "task1678-a32f6526d611428ba9864440bf651686", "input": "Problem: a ship 77 km from the shore, springs a leak which admits to 9 / 4 tonnes of water in 11 / 2 minutes. 92 tonnes of water would sink it. but the pumps can throw out 12 tonnes of water per hour. find the average rate of sailing so that the ship may just reach the shore as it begins to sink.\nOptions: a. 10.5, b. 11, c. 12, d. 13, e. 15", "output": [ "a" ] }, { "id": "task1678-2f3678fad4854d8abcf6cc6d11233f11", "input": "Problem: a library has an average of 600 visitors on sundays and 240 on other days. the average number of visitors per day in a month of 30 days beginning with a sunday is :\nOptions: a. 250, b. 260, c. 300, d. 285, e. none", "output": [ "c" ] }, { "id": "task1678-64dc2db9b2854d9f999b302dbbda849f", "input": "Problem: the lcm of two numbers is 2310 and hcf is 30. if one of the numbers is 210. then what is the other number ?\nOptions: a. 715, b. 825, c. 330, d. 582, e. 465", "output": [ "c" ] }, { "id": "task1678-f8b65c79c5864170b83285955b7371be", "input": "Problem: a small college reduced its faculty by approximately 15 percent to 195 professors. what was the original number of faculty members ?\nOptions: a. 182, b. 208, c. 224, d. 229, e. 302", "output": [ "d" ] }, { "id": "task1678-cef51b204820400c9ce1a3f672b247c9", "input": "Problem: how many seconds will a train 60 meters long take to cross a bridge 120 meters long if the speed of the train is 30 m / sec ?\nOptions: a. 6 sec, b. 8 sec, c. 15 sec, d. 3 sec, e. 5 sec", "output": [ "a" ] }, { "id": "task1678-a5211aaf56a64d42a89f32eed712ea32", "input": "Problem: if the sides of a rectangle are increased by 35 %, what is the percentage increase in the area ?\nOptions: a. 38.25 %, b. 40.25 %, c. 82.25 %, d. 50 %, e. 65 %", "output": [ "c" ] }, { "id": "task1678-a998a8805a34489bbe5b1c23c922348e", "input": "Problem: the length of the bridge, which a train 120 m long and traveling at 45 km / hr can cross in 30 sec is ?\nOptions: a. 235, b. 240, c. 245, d. 250, e. 255", "output": [ "e" ] }, { "id": "task1678-e0c223593905444c924ef95d850c1fce", "input": "Problem: 4, 12, 48, 240, 1440, 10080,80640 (... )\nOptions: a. 7620, b. 10080, c. 6200, d. 10020, e. 725760", "output": [ "e" ] }, { "id": "task1678-2f7db6ab819f40febef1afb435a16db5", "input": "Problem: if a person walks at 20 km / hr instead of 10 km / hr, he would have walked 40 km more. the actual distance traveled by him is ?\nOptions: a. 40 km, b. 76 km, c. 18 km, d. 16 km, e. 97 km", "output": [ "a" ] }, { "id": "task1678-ecf09610bee0428997ad18ff22c8f364", "input": "Problem: there are 840 male and female participants in a meeting. half the female participants and one - quarterof the male participants are democrats. one - third of all the participants are democrats. how many of the democrats are female ?\nOptions: a. 75, b. 100, c. 125, d. 140, e. 225", "output": [ "d" ] }, { "id": "task1678-97a9e3ba1a264ecebf89f1e22012ca87", "input": "Problem: the percentage increase in the area of a rectangle, if each of its sides is increased by 20 % is ?\nOptions: a. 44 %, b. 45 %, c. 50 %, d. 55 %, e. 60 %", "output": [ "a" ] }, { "id": "task1678-74d49b9bed2647db884953efb0197eef", "input": "Problem: the average temperature for monday, tuesday, wednesday and thursday was 48 degrees and for tuesday, wednesday, thursday and friday was 46 degrees. if the temperature on monday was 40 degrees. find the temperature on friday ?\nOptions: a. 65 degrees, b. 32 degrees, c. 37 degrees, d. 34 degrees, e. 74 degrees", "output": [ "b" ] }, { "id": "task1678-99e6747e1fe44f08b4d38bcf3b9edabd", "input": "Problem: difference between the length & breadth of a rectangle is 30 m. if its perimeter is 300 m, then its area is ? ? we have: ( l - b. = 30 and 2 ( l + b. = 300 or ( l + b. = 150 ?\nOptions: a. 3: 5, b. 2: 3, c. 3: 6, d. 3: 4, e. 3: 2", "output": [ "e" ] }, { "id": "task1678-3301f53aa6e743f8b70eda69afcd760f", "input": "Problem: what is the maximum number e of 27 cubic centimetre cubes that can fit in a rectangular box measuring 8 centimetre x 9 centimetre x 12 centimetre ?\nOptions: ['a. 36', 'b. 32', 'c. 24', 'd. 21', 'e. 15']", "output": [ "c" ] }, { "id": "task1678-b3c4bb06645f4f05a24658ba6ede1bd3", "input": "Problem: if the area of a circle is 16 pi square feet, find its circumference.\nOptions: a. 8 pi feet, b. 28 pi feet, c. 38 pi feet, d. 48 pi feet, e. 58 pi feet", "output": [ "a" ] }, { "id": "task1678-5ff6bcebb80b4b9b91ea65b148f7ce8d", "input": "Problem: 892.7 – 573.07 – 95.007 = ?\nOptions: a. 224.623, b. 224.777, c. 233.523, d. 414.637, e. none of these", "output": [ "a" ] }, { "id": "task1678-b61223725c844d9da3d5b8b0069fecb9", "input": "Problem: find k if 64 / k = 4.\nOptions: a. 16, b. 17, c. 18, d. 14, e. 13", "output": [ "a" ] }, { "id": "task1678-124a5b638e62494fac2cf48db5e6a816", "input": "Problem: if 1 + 3 = 10; 3 + 5 = 52; 5 + 7 = 174 then 7 + 11 = ?\nOptions: a. 354, b. 225, c. 654, d. 741, e. 464", "output": [ "e" ] }, { "id": "task1678-353dd9d564d04a4f8c238c6588f081c9", "input": "Problem: 10 play kabadi, 30 play kho kho only, 5 play both gmaes. then how many in total ?\nOptions: a. 30, b. 35, c. 38, d. 40, e. 45", "output": [ "d" ] }, { "id": "task1678-51c137c4da494fe5bdb956177a06f6f2", "input": "Problem: 14 men make 1400 toy in 5 days 1 day after work 14 more worker join now how may days work can finish\nOptions: a. 1 day, b. 2 days, c. 3 days, d. 4 days, e. 5 days", "output": [ "b" ] }, { "id": "task1678-88540b4afb454f55b8602a33a030be91", "input": "Problem: what ratio must a shopkeepermix peas and soybean of rs. 16 and rs. 25 / kg, as to obtain a mixture of rs. 19.50 ?\nOptions: a. 10: 7, b. 9: 8, c. 11: 7, d. 13: 11, e. 14: 8", "output": [ "c" ] }, { "id": "task1678-9d85a161476f4e9292f470f3069d223e", "input": "Problem: a sum of rs 468.75 was lent out at simple interest and at the end of 1 year and 8 months, the total amount of rs 500 is received. find the rate of interest ?\nOptions: a. 3 %, b. 4 %, c. 5 %, d. 6 %, e. 7 %", "output": [ "b" ] }, { "id": "task1678-5740f89538d0431da8e7815afeb6913f", "input": "Problem: how many positive integers less than 5,000 are evenly divisible by neither 14 nor 21 ?\nOptions: a. 4,514, b. 4,475, c. 4,521, d. 4,428, e. 4,349", "output": [ "e" ] }, { "id": "task1678-deb8a09a4bda42279b064b96c53d57f9", "input": "Problem: a student chose a number, multiplied it by 2, then subtracted 138 from the result and got 110. what was the number he chose ?\nOptions: a. 123, b. 267, c. 277, d. 124, e. 120", "output": [ "d" ] }, { "id": "task1678-ff0f534ecf454575845ed4f12c637c16", "input": "Problem: a solid yellow stripe is to be painted in the middle of a certain highway. if 1 gallon of paint covers an area of q square feet of highway, how many gallons of paint will be needed to paint a stripe of t inches wide on a stretch of highway m miles long ? ( 1 mile = 5,280 feet and 1 foot = 12 inches )\nOptions: ['a. ( 5,280 mt ) / 12 q', 'b. ( 5,280 pt ) / 12 m', 'c. ( 5,280 pmt ) / 12', 'd. ( 5,280 ) ( 12 m ) / pt', 'e. ( 5,280 ) ( 12 p ) / mt']", "output": [ "a" ] }, { "id": "task1678-d5c44677436540e999308f3d9d9ca967", "input": "Problem: a man buys 20 lts of liquid which contains 30 % of the liquid and the rest is water. he then mixes it with 20 lts of another mixture with 20 % of liquid. what is the % of water in the new mixture ?\nOptions: a. 59, b. 95, c. 80, d. 75, e. 65", "output": [ "d" ] }, { "id": "task1678-118f9616f2f54d3fa1159639ab681e98", "input": "Problem: the surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 14 cm each. the radius of the sphere is\nOptions: a. 3 cm, b. 4 cm, c. 6 cm, d. 7 cm, e. none", "output": [ "d" ] }, { "id": "task1678-767ffbe402f34ad2a90e948e0863bd4c", "input": "Problem: if 8 men or 12 women can do a piece of work in 30 days, in how many days can the same work be done by 6 men and 11 women ?\nOptions: a. 10 days, b. 11 days, c. 13 days, d. 15 days, e. 18 days", "output": [ "e" ] }, { "id": "task1678-fdfdc625754d45bb82fcb82da87832d9", "input": "Problem: how many positive integer solutions does the equation 8 x + 2 y = 100 have ?\nOptions: a. 50, b. 84, c. 16, d. 35, e. 14", "output": [ "b" ] }, { "id": "task1678-f4e86fd6ddbc40bea65f7a2f87ef62a6", "input": "Problem: set s consists of integers { 8, 11, 12, 14, 15 }. if integer n is included in the set, the average ( arithmetic mean ) of set s will increase by 25 %. what is the value of integer n ?\nOptions: a. 28, b. 32, c. 36, d. 40, e. 44", "output": [ "d" ] }, { "id": "task1678-e79ed6e3ba834912a7c5ebd77d0bd3cb", "input": "Problem: the average marks obtained by 50 candidates in a certain examination is 40. find the total marks.\nOptions: a. 1800, b. 2000, c. 1640, d. 2200, e. 2400", "output": [ "b" ] }, { "id": "task1678-edfbe0e5ff0247968a763790c32eaccf", "input": "Problem: a man sitting in a train which is travelling at 64 kmph observes that a goods train travelling in a opposite direction, takes 18 seconds to pass him. if the goods train is 420 m long, find its speed.\nOptions: a. 32, b. 15, c. 18, d. 20, e. 25", "output": [ "d" ] }, { "id": "task1678-f8517a624b584a188b81f07add76d893", "input": "Problem: the speed of a car is 95 km in the first hour and 60 km in the second hour. what is the average speed of the car ?\nOptions: a. 76 kmph, b. 75 kmph, c. 77.5 kmph, d. 56 kmph, e. 86 kmph", "output": [ "c" ] }, { "id": "task1678-f240a2f00b5e4bd7bc2e86c422d0cf7b", "input": "Problem: an article is bought for rs. 675 and sold for rs. 800, find the gain percent ?\nOptions: a. 38 %, b. 28 %, c. 18 %, d. 22 %, e. 13 %", "output": [ "c" ] }, { "id": "task1678-e04659654f7b47b283f863daaa3ad9ad", "input": "Problem: a company recently conducted a survey and found that 40,000 of its customers live in rural areas. if the number of customers who live in urban areas is 137 percent greater than the number of customers who live in rural areas, how many customers live in urban areas ?\nOptions: a. 90,000, b. 91,200, c. 92,400, d. 93,600, e. 94,800", "output": [ "e" ] }, { "id": "task1678-baa96e9a412d4697a13631532d47f6d6", "input": "Problem: a hiker walking at a constant rate of 4 kilometers per hour is passed by a cyclist travelling in the same direction along the same path at a constant rate of 30 kilometers per hour. the cyclist stops and waits for the hiker 5 minutes after passing her while the hiker continues to walk at her constant rate. how many minutes must the cyclist wait until the hiker catches up ?\nOptions: a. 7.5, b. 15, c. 17.5, d. 25, e. 32.5", "output": [ "e" ] }, { "id": "task1678-4a6325f27edc4873acc46dc75d1bc91e", "input": "Problem: 3 ltr of water is added with 9 ltr of a solution containing 57 % of alcohol in the water. the % of alcohol in the new mixture is ?\nOptions: a. 41.5 %, b. 42.75 %, c. 43 %, d. 45 %, e. 45.75 %", "output": [ "b" ] }, { "id": "task1678-61fb6bb87ab249b4968140bb538165f6", "input": "Problem: if x = 3 ^ 9 and x ^ x = 3 ^ k, what is k ?\nOptions: a. 3 ^ 11, b. 3 ^ 13, c. 3 ^ 25, d. 3 ^ 27, e. 3 ^ 81", "output": [ "a" ] }, { "id": "task1678-b39c04c8809240d6ab7d02e020d2e839", "input": "Problem: carol spends 1 / 4 of her savings on a stereo and 1 / 2 less than she spent on the stereo for a television. what fraction of her savings did she spend on the stereo and television ?\nOptions: a. 1 / 4, b. 2 / 7, c. 5 / 12, d. 3 / 8, e. 7 / 12", "output": [ "d" ] }, { "id": "task1678-a1ff798224b740f8bf6e24717f9f29ac", "input": "Problem: a grocer purchased a quantity of bananas at 3 pounds for $ 0.50 and sold the entire quantity at 4 pounds for $ 1.00. how many pounds did the grocer purchase if the profit from selling the bananas was $ 11.00 ?\nOptions: a. 40, b. 60, c. 90, d. 132, e. 240", "output": [ "d" ] }, { "id": "task1678-9e9e1b9a128a410caa935ec86004ac2a", "input": "Problem: for all numbers a and b, the operation is defined by ab = ( a + 2 ) ( b – 3 ). if 3 x = – 20, then x =\nOptions: a. – 15, b. – 6, c. 3, d. 6, e. - 1", "output": [ "e" ] }, { "id": "task1678-f5838b3b288949768b25efba7ed3d7a8", "input": "Problem: the length and breadth of a rectangle is increased by 5 % and 15 % respectively. what is the increase in the area ?\nOptions: a. 21.25, b. 22.75, c. 19.25, d. 20.75, e. 22.25", "output": [ "d" ] }, { "id": "task1678-bfc744b9031745f9bf11f9525a0e9ac7", "input": "Problem: a train running at the speed of 40 km / hr crosses a pole in 9 seconds. what is the length of the train ?\nOptions: a. 120 metres, b. 180 metres, c. 324 metres, d. 150 metres, e. 100 meters", "output": [ "e" ] }, { "id": "task1678-7b4cd5d2c0654bdf89d0cdc364458aeb", "input": "Problem: a chemical supply company has 60 liters of a 35 % hno 3 solution. how many liters of pure undiluted hno 3 must the chemists add so that the resultant solution is a 50 % solution ?\nOptions: a. 18, b. 15, c. 20, d. 24, e. 30", "output": [ "a" ] }, { "id": "task1678-034f4b2330584c34ac5eab0b24af7af4", "input": "Problem: in how many no. between 10 and 30 exactly two of the digits is 2 ?\nOptions: a. 25, b. 1, c. 35, d. 45, e. 50", "output": [ "b" ] }, { "id": "task1678-c83b9e6f82c0429fbadf99dfc4620717", "input": "Problem: the batting average of a particular batsman is 60 runs in 46 innings. if the difference in his highest and lowest score is 140 runs and his average excluding these two innings is 58 runs, find his highest score.\nOptions: a. 179, b. 367, c. 269, d. 177, e. 174", "output": [ "e" ] }, { "id": "task1678-bdb64d8f0ac04b60a0b02c47a861b8de", "input": "Problem: if m ^ 2 - 8 m + 1 = 0, then m ^ 3 + m ^ ( - 3 ) = ?\nOptions: a. 487, b. 488, c. 489, d. 457, e. 495", "output": [ "b" ] }, { "id": "task1678-d8efd0adeba14162aceea2d45a42f543", "input": "Problem: if 3 a – 3 b – 2 c = 32 and √ 3 a - √ ( 2 b + 2 c. = 4, what is the value of a + b + c ?\nOptions: a. 3, b. 9, c. 10, d. 12, e. 14", "output": [ "c" ] }, { "id": "task1678-e2fb4450318240b9843bfbbd19a6f737", "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": "task1678-a54179e35a8f4812b4211920ac3b82e6", "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": "task1678-793544909d694d5ab242d755953464be", "input": "Problem: at a certain conference, 78 % of the attendees registered at least two weeks in advance and paid their conference fee in full. if 10 % of the attendees who paid their conference fee in full did not register at least two weeks in advance, what percent of conference attendees registered at least two weeks in advance ?\nOptions: a. 18.0 %, b. 62.0 %, c. 79.2 %, d. 86.67 %, e. 82.0 %", "output": [ "d" ] }, { "id": "task1678-a1b40df946ff43bb897d7ad95adea8c4", "input": "Problem: a can do a piece of work in 22 days and b alone can do it in 10 days. b works at it for 5 days and then leaves. a alone can finish the remaining work in\nOptions: a. 5 days, b. 6 days, c. 11 days, d. 8.5 days, e. 9 days", "output": [ "c" ] }, { "id": "task1678-a460afbc630e4ee6bbe24538a56beaa5", "input": "Problem: if the volume of two cubes are in the ratio 8: 1, the ratio of their edges is :\nOptions: ['a. 2: 1', 'b. 3: 2', 'c. 3: 5', 'd. 3: 7', 'e. none of these']", "output": [ "a" ] }, { "id": "task1678-f60228b6ecb0446b9e37ada6cd2e80ac", "input": "Problem: what is the dividend. divisor 15, the quotient is 8 and the remainder is 5\nOptions: a. a. 145, b. b. 148, c. c. 150, d. d. 125, e. e. 158", "output": [ "d" ] }, { "id": "task1678-ef7c08e711274886a984a05c684037d5", "input": "Problem: x can do a piece of work in 40 days. he works at it for 8 days and then y finished it in 20 days. how long will y take to complete the work ?\nOptions: a. 10, b. 12, c. 25, d. 18, e. 20", "output": [ "c" ] }, { "id": "task1678-246bad371d044923b16be30ac5b6c9c3", "input": "Problem: the population of a town is 10000. it increases annually at the rate of 20 % p. a. what will be its population after 5 years ?\nOptions: a. 14300, b. 24883, c. 14500, d. 14600, e. 15400", "output": [ "b" ] }, { "id": "task1678-c636ef0a136b4df0b15c0f924fde40b0", "input": "Problem: by selling an article at rs. 500, a profit of 25 % is made. find its cost price ?\nOptions: a. 400, b. 267, c. 287, d. 480, e. 811", "output": [ "a" ] }, { "id": "task1678-3982c9a8faac45b08f0f5f5127503d0c", "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": "task1678-844aedfec4f242799f5891d7c76c7a0b", "input": "Problem: the ratio of radius of a circle and the side of a square is 2: 5. find the ratio of their areas :\nOptions: a. 2: 1, b. 4: 25, c. 8: 77, d. 4: 121, e. none", "output": [ "b" ] }, { "id": "task1678-bf9a90348a1b419c9390651de292f75c", "input": "Problem: a lion chases a pony 7 hours after the pony runs. lion takes 8 hours to reach the pony. if the average speed of the lion is 49 kmph, what s the average speed of the pony ?\nOptions: a. 28.3 kmph, b. 29.8 kmph, c. 28.4 kmph, d. 29.5 kmph, e. 29.4 kmph", "output": [ "e" ] }, { "id": "task1678-b180b94d766e4c33b59ec8facd9c3d3e", "input": "Problem: on the independence day, bananas were be equally distributed among the children in a school so that each child would get two bananas. on the particular day 360 children were absent and as a result each child got two extra bananas. find the actual number of children in the school ?\nOptions: a. 237, b. 287, c. 197, d. 287, e. 720", "output": [ "e" ] }, { "id": "task1678-303b84467bde433abd6ea761ef7164d2", "input": "Problem: the cash realised on selling a 14 % stock is rs. 106.25, brokerage being 1 / 4 % is ?\nOptions: a. 366, b. 106, c. 102, d. 192, e. 122", "output": [ "b" ] }, { "id": "task1678-c23d3fcfc3b74a58acdd9dcbfd87a3d7", "input": "Problem: a reduction of 25 % in the price of oil enables a house wife to obtain 5 kgs more for rs. 900, what is the reduced price for kg ?\nOptions: a. 45, b. 60, c. 70, d. 80, e. 20", "output": [ "a" ] }, { "id": "task1678-dc60d37edd76425dbd6adb40d633e85c", "input": "Problem: rectangular tile each of size 80 cm by 55 cm must be laid horizontally on a rectangular floor of size 210 cm by 330 cm, such that the tiles do not overlap and they are placed with edges jutting against each other on all edges. a tile can be placed in any orientation so long as its edges are parallel to the edges of floor. no tile should overshoot any edge of the floor. the maximum number of tiles that can be accommodated on the floor is :\nOptions: a. 26, b. 16, c. 18, d. 19, e. 20", "output": [ "b" ] }, { "id": "task1678-8c94e79f56c448a991de80fc5182944e", "input": "Problem: sowdharya had 90 currency notes in all, some of which are of rs 95 denomination and the remaining of rs 45 denomination. the total amount of all these currency notes was rs. 5000. how much amount ( in rs ) did she have in the denomination of rs 45 ?\nOptions: a. 75, b. 72, c. 71, d. 76, e. 73", "output": [ "c" ] }, { "id": "task1678-f3f0c7bc5b184fb389f71735ae1b6109", "input": "Problem: if an investor puts $ 700 in a savings account that earns 10 percent annual interest compounded semiannually, how much money will be in the account after one year ?\nOptions: a. $ 769.75, b. $ 771.75, c. $ 773.75, d. $ 775.75, e. $ 777.75", "output": [ "b" ] }, { "id": "task1678-7f4bb43e9f00445daaeae0ea0dad24e9", "input": "Problem: a salesman ’ s terms were changed from a flat commission of 5 % on all his sales to a fixed salary of rs. 1000 plus 2.5 % commission on all sales exceeding rs. 4,000. if his remuneration as per new scheme was rs. 600 more than that by the previous schema, his sales were worth ?\nOptions: a. 12002, b. 12000, c. 12028, d. 12020, e. 12013", "output": [ "b" ] }, { "id": "task1678-f0bc82494a0043fc94c7c9d9d38d3a70", "input": "Problem: to deliver an order on time, a company has to make 25 parts a day. after making 25 parts per day for 3 days, the company started to produce 5 more parts per day, and by the last day of work 100 more parts than planned were produced. find how many parts the company made and how many days this took.\nOptions: a. 600, b. 500, c. 575, d. 655, e. 675", "output": [ "e" ] }, { "id": "task1678-43bf707bb18742cabd6aba4aa4716f93", "input": "Problem: how many positive integers less than 100 have a reminder 5 when divided by 7 ?\nOptions: a. 11, b. 12, c. 13, d. 14, e. 15", "output": [ "d" ] }, { "id": "task1678-e0448cb1f70a4484a3dba126fdbcbe7b", "input": "Problem: what is the 10 th digit of ( 5 ! * 4 ! * 4 ! - 5 ! * 4 ! * 3 ! ) / 2880 ?\nOptions: a. 4, b. 1, c. 6, d. 7, e. 8", "output": [ "b" ] }, { "id": "task1678-0428e359baed465bb302e28a5170c4e8", "input": "Problem: a hollow iron pipe is 21 cm long and its external diameter is 8 cm. if the thickness of the pipe is 1 cm and iron weights 8 g / cm cube, then find the weight of the pipe.\nOptions: ['a. 3.696 kg', 'b. 3.686 kg', 'c. 2.696 kg', 'd. 2.686 kg', 'e. none of these']", "output": [ "a" ] }, { "id": "task1678-550cdabaf15348a7878291f629fc8a90", "input": "Problem: village x has a population of 72000, which is decreasing at the rate of 1200 per year. village y has a population of 42000, which is increasing at the rate of 800 per year. in how many years will the population of the two villages be equal ?\nOptions: a. 15, b. 19, c. 11, d. 18, e. 13", "output": [ "a" ] }, { "id": "task1678-c5707181573b4388bde7bbe9d5e6135d", "input": "Problem: what is the probability of getting a sum of 8 or 14 when rolling 3 dice simultaneously ?\nOptions: a. 1 / 6, b. 1 / 4, c. 1 / 2, d. 21 / 216, e. 32 / 216", "output": [ "a" ] }, { "id": "task1678-78e9c29f4a384e08b5a2ab28ea6bc744", "input": "Problem: a person purchases 90 clocks and sells 40 clocks at a gain of 10 % and 50 clocks at a gain of 20 %. if he sold all of them at a uniform profit of 15 %, then he would have got rs. 40 less. the cost price of each clock is :\nOptions: a. 50, b. 90, c. 80, d. 28, e. 93", "output": [ "c" ] }, { "id": "task1678-2753aba331f9426dba63c55180f943fd", "input": "Problem: what is the cost of leveling the field in the form of parallelogram at the rate of rs. 60 / 10 sq. metre, whose base & perpendicular distance from the other side being 34 m & 34 m respectively ?\nOptions: a. s. 1156, b. s. 1300, c. s. 1400, d. s. 2480, e. s. 3600", "output": [ "a" ] }, { "id": "task1678-c42d8dabcc2b4fc2984ecf27b2b6117e", "input": "Problem: find the remainder of the division ( 3 ^ 33 ) / 7.\nOptions: a. 2, b. 3, c. 4, d. 5, e. 6", "output": [ "e" ] }, { "id": "task1678-67c4d25fb84b49289ddff6293d63911b", "input": "Problem: an inspector rejects 0.05 % of the meters as defective. how many will he examine to reject 4 ?\nOptions: a. 4000, b. 8000, c. 5000, d. 4500, e. 6000", "output": [ "b" ] }, { "id": "task1678-4412e1cc63d94be7a9d0823c7e0c0731", "input": "Problem: a train passes a platform in 34 seconds. the same train passes a man standing on the platform in 20 seconds. if the speed of the train is 54 km / hr, the length of the platform is\nOptions: a. 280 meter, b. 240 meter, c. 210 meter, d. 200 meter, e. none of these", "output": [ "c" ] }, { "id": "task1678-eec679572e2b416788d9be76081dfc55", "input": "Problem: the average age of 15 students of a class is 15 years. out of these, the average age of 3 students is 14 years and that of the other 11 students is 16 years. the age of the 15 th student is\nOptions: a. 9 years, b. 11 years, c. 14 years, d. 7 years, e. 25 years", "output": [ "d" ] }, { "id": "task1678-69a8949335b74a2da2133beebb1789cf", "input": "Problem: a number x is 6 times another number y. the percentage that y is less than x is\nOptions: a. 12.5 %, b. 83.3 %, c. 80 %, d. 11 %, e. 1 %", "output": [ "b" ] }, { "id": "task1678-53e2073a8fcf458f8576ecfaa1937d60", "input": "Problem: liam is pulled over for speeding just as he is arriving at work. he explains to the police officer that he could not afford to be late today, and has arrived at work only four minutes before he is to start. the officer explains that if liam had driven 5 mph slower for his whole commute, he would have arrived at work exactly on time. if liam ' s commute is 10 miles long, how fast was he actually driving ? ( assume that liam drove at a constant speed for the duration of his commute. )\nOptions: a. 50 mph, b. 45 mph, c. 48 mph, d. 30 mph, e. 60 mph", "output": [ "d" ] }, { "id": "task1678-bdeb8a2f567a4cb1ae88faee3220bfa1", "input": "Problem: what is the compound interest paid on a sum of rs. 3000 for the period of 2 years at 10 % per annum.\nOptions: a. 630, b. 620, c. 610, d. 600, e. none of these", "output": [ "a" ] }, { "id": "task1678-3f83d86cef3a41319313929d47fa0d98", "input": "Problem: what is the least integer greater than – 2 + 0.5 ?\nOptions: a. – 2, b. – 1, c. 0, d. 1, e. 2", "output": [ "b" ] }, { "id": "task1678-a9867f3c3d6f4cd6b3276f2989f29f6b", "input": "Problem: if 5 x + y = 15, 5 y + z = 25 and 2 z + x = 2, what is the value of x ?\nOptions: a. 2, b. 5, c. 6, d. 7, e. 1", "output": [ "a" ] }, { "id": "task1678-e1c59bd82ef1493585d4499bb00751c8", "input": "Problem: a boy perform 5 times a reaction and his reading are 2, 2.1, 2, 2.2 but unfortunately 5 th reading clearly not visible because a drop of chemical fall onto it. but luckily he have mean of all reading which is 2. please help him in finding 5 th reading.\nOptions: a. 2, b. 1.7, c. 1.9, d. 1.8, e. 2.1", "output": [ "b" ] }, { "id": "task1678-285b1f720e224b8caa4a3cfb5d987b4c", "input": "Problem: thirty percent of the members of a swim club have passed the lifesaving test. among the members who have not passed the test, 12 have taken the preparatory course and 30 have not taken the course. how many members are there in the swim club ?\nOptions: a. 60, b. 80, c. 100, d. 120, e. 140", "output": [ "a" ] }, { "id": "task1678-638a0b64190e477f977183fa88c66083", "input": "Problem: a certain rectangular window is ( 1 / 3 ) times as long as it is wide. if its perimeter is 28 feet, what are its dimensions in terms of length by width ?\nOptions: ['a. 12 by 2', 'b. 11 by 3', 'c. 10.5 by 3.5', 'd. 10 by 4', 'e. 9 by 3']", "output": [ "c" ] }, { "id": "task1678-eecdb5fab0014416b5ca666d3aa18040", "input": "Problem: there are 8 teams in a certain league and each team plays each of the other teams exactly once. if each game is played by 2 teams, what is the total number of games played ?\nOptions: a. 15, b. 16, c. 28, d. 56, e. 64", "output": [ "c" ] }, { "id": "task1678-d5a54754eda44293a805c3f288a8427a", "input": "Problem: 3 candidates in an election and received 1136, 7636 and 11628 votes respectively. what % of the total votes did the winning candidate gotin that election ?\nOptions: a. 40 %, b. 55 %, c. 57 %, d. 60 %, e. 62 %", "output": [ "c" ] }, { "id": "task1678-a3e6838cfff542b09d9069b3a66d1816", "input": "Problem: if p is the product of the integers from 1 to 36, inclusive, what is the greatest integer k for which 3 ^ k is a factor of p ?\nOptions: a. 13, b. 15, c. 17, d. 19, e. 21", "output": [ "c" ] }, { "id": "task1678-35bb739055f3486bac0e953e9ad84cdc", "input": "Problem: at what rate percent on simple interest will rs. 1750 amount to rs. 2000 in 3 years ?\nOptions: a. 4 %, b. 3 6 / 7 %, c. 4.76 %, d. 5 %, e. 6 %", "output": [ "c" ] }, { "id": "task1678-c7523215e82a4367b5771bcb8b835f17", "input": "Problem: what is the total surface area in square meters of a rectangular solid whose length is 8 meters, width is 7 meters, and depth is 4 meters ?\nOptions: a. 132 m 2, b. 145 m 2, c. 165 m 2, d. 152 m 2, e. 120 m 2", "output": [ "a" ] }, { "id": "task1678-620e878d66b1403baf589e8a39958499", "input": "Problem: the perimeter of a square is equal to the perimeter of a rectangle of length 19 cm and breadth 14 cm. find the circumference of a semicircle whose diameter is equal to the side of the square. ( round off your answer to two decimal places )\nOptions: a. 22.78, b. 23.54, c. 23.5, d. 24.55, e. 25.93", "output": [ "e" ] }, { "id": "task1678-69b10a56c10449608043b3307d957cbf", "input": "Problem: john and steve are speed walkers in a race. john is 15 meters behind steve when he begins his final push. john blazes to the finish at a pace of 4.2 m / s, while steve maintains a blistering 3.7 m / s speed. if john finishes the race 2 meters ahead of steve, how long was john ’ s final push ?\nOptions: a. 13 seconds, b. 17 seconds, c. 26 seconds, d. 34 seconds, e. 51 seconds", "output": [ "d" ] }, { "id": "task1678-e4786494df5140dc8ef3801587fdc427", "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": "task1678-41b6360d783c462699421bfc8469e5a2", "input": "Problem: the principal that amounts to rs. 4813 in 3 years at 6 1 / 4 % per annum c. i. compounded annually, is ?\nOptions: a. s. 3096, b. s. 4036, c. s. 4085, d. s. 4096, e. s. 5096", "output": [ "b" ] }, { "id": "task1678-1399c20438b74fa1901973814206294d", "input": "Problem: the area of a rectangular plot is 18 times its breadth. if the difference between the length and the breadth is 10 metres, what is its breadth ?\nOptions: a. 10 metres, b. 8 metres, c. 7.5 metres, d. data inadequate, e. none of these", "output": [ "b" ] }, { "id": "task1678-d10edba4423047f4be49c2447713f3f3", "input": "Problem: in a certain archery competition, points were awarded as follows: the first place winner receives 11 points, the second place winner receives 7 points, the third place winner receives 5 points and the fourth place winner receives 2 points. no other points are awarded. john participated several times in the competition and finished first, second, third, or fourth each time. the product of all the points he received was 38500. how many times did he participate in the competition ?\nOptions: a. 6, b. 7, c. 8, d. 9, e. 10", "output": [ "b" ] }, { "id": "task1678-4c595111c1fc4cf6a3ad8e16328e6334", "input": "Problem: the first flight out of phoenix airport had a late departure. if the next 3 flights departed on - time, how many subsequent flights need to depart from phoenix on - time, for the airport ' s on - time departure rate to be higher than 40 % ?\nOptions: a. 4, b. 6, c. 5, d. 2, e. 8", "output": [ "d" ] }, { "id": "task1678-5707e50e73ed424da2096b33fbe936c2", "input": "Problem: a rainstorm increased the amount of water stored in state j reservoirs from 160 billion gallons to 200 billion gallons. if the storm increased the amount of water in the reservoirs to 40 percent of total capacity, approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm ?\nOptions: a. 260, b. 280, c. 325, d. 340, e. 355", "output": [ "d" ] }, { "id": "task1678-e1016d69d0f74781bb060493331fbbb4", "input": "Problem: a number when divided by a divisor leaves a remainder of 23. when twice the original number is divided by the same divisor, the remainder is 11. what is the value of the divisor ?\nOptions: a. 12, b. 13, c. 35, d. 36, e. 59", "output": [ "d" ] }, { "id": "task1678-bce58e5708454db480b8a7b1ee093ae7", "input": "Problem: two years ago, ram put $ 500 into a savings account. at the end of the first year, his account had accrued $ 100 in interest bringing his total balance to $ 600. the next year, his account balance increased by 10 %. at the end of the two years, by what percent has ram ' s account balance increased from his initial deposit of $ 500 ?\nOptions: a. 19 %, b. 28 %, c. 30 %, d. 32 %, e. 25 %", "output": [ "d" ] }, { "id": "task1678-94e20083d9f64c999a3acdbee057d0a5", "input": "Problem: population of a city in 20004 was 1000000. if in 2005 there isan increment of 10 %, in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45 %, then find the population of city atthe end of the year 2007\nOptions: a. 976374, b. 979923, c. 980241, d. 1036750, e. 1083875", "output": [ "d" ] }, { "id": "task1678-f707d8238991417aad72f393d778b709", "input": "Problem: if the sum of two numbers is 45 and the h. c. f and l. c. m of these numbers are 3 and 100 respectively, then the sum of the reciprocal of the numbers is equal to :\nOptions: a. 103 / 300, b. 103 / 200, c. 112 / 300, d. 154 / 140, e. 100 / 300", "output": [ "a" ] }, { "id": "task1678-59337f89ad014adb90faeb9ceb362a83", "input": "Problem: what is the value of ( 2 ) ^ - 3 ?\nOptions: a. 1 / 6, b. 1 / 5, c. 1 / 8, d. 1 / 9, e. 1 / 7", "output": [ "c" ] }, { "id": "task1678-733bc742044942c1bb6ec5bc53ff1067", "input": "Problem: mr. kramer, the losing candidate in a two - candidate election, received 942,568 votes, which was exactly 45 percent of all votes cast. approximately what percent of the remaining votes would he need to have received in order to have won at least 50 percent of all the votes cast ?\nOptions: a. 9 %, b. 12 %, c. 15 %, d. 17 %, e. 20 %", "output": [ "a" ] }, { "id": "task1678-53337ef0131f4cc0b4efa76f13ef4f24", "input": "Problem: pipe a can fill a tank in 6 hours. due to a leak at the bottom, it takes 12 hours for the pipe a to fill the tank. in what time can the leak alone empty the full tank ?\nOptions: a. 13, b. 17, c. 18, d. 19, e. 12", "output": [ "e" ] }, { "id": "task1678-6be86b0640c048c0ad92ed9dffd60b3e", "input": "Problem: w and x start a business with rs. 5000 and rs. 20000 respectively. hoe should they share their profits at the end of one year ?\nOptions: a. 4: 1, b. 1: 3, c. 1: 4, d. 1: 5, e. 2: 1", "output": [ "c" ] }, { "id": "task1678-aa65128a05484f5a9938912f7e7b0c92", "input": "Problem: in an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. if he attempts all 80 questions and secures 130 marks, the no of questions he attempts correctly is :\nOptions: a. a. 35, b. b. 38, c. c. 90, d. d. 88, e. e. 42", "output": [ "e" ] }, { "id": "task1678-dd326c47d21e46f79c1b4ca3973a85bb", "input": "Problem: what is the least number should be added to 1056, so the sum of the number is completely divisible by 29 ?\nOptions: a. 17, b. 27, c. 37, d. 47, e. 57", "output": [ "a" ] }, { "id": "task1678-7dc5670e877048d4a77b9b0c1ab5a265", "input": "Problem: an optometrist charges $ 150 per pair for soft contact lenses and $ 85 per pair for hard contact lenses. last week she sold 5 more pairs of soft lenses than hard lenses. if her total sales for pairs of contact lenses last week were $ 1455, what was the total number of pairs of contact lenses that she sold ?\nOptions: a. 11, b. 13, c. 15, d. 17, e. 19", "output": [ "a" ] }, { "id": "task1678-03e77acb61eb48298c90b5b93ca49647", "input": "Problem: if the price of an article went up by 30 %, then by what percent should it be brought down to bring it back to its original price ?\nOptions: a. 25 %, b. 23 1 / 13 %, c. 16 7 / 3 %, d. 16 6 / 3 %, e. 16 2 / 3 %", "output": [ "b" ] }, { "id": "task1678-fad51d5cb6b34be8a4d10c1fc8d1a398", "input": "Problem: if n is the product of all the integers from 5 to 20, inclusive, what is the greatest integer k for which 2 ^ k is a factor of n ?\nOptions: a. 11, b. 12, c. 13, d. 14, e. 15", "output": [ "e" ] }, { "id": "task1678-3e7984fd98c446839144a214a9eae337", "input": "Problem: the perimeter of an isosceles right triangle is 14 + 14 sq rt 2. what is the length of the hypotenuse of the triangle ?\nOptions: a. 5, b. 6, c. 7, d. 8, e. 9.899", "output": [ "e" ] }, { "id": "task1678-ca97bd7c18554a649115264ff3d3c0fe", "input": "Problem: sushil got thrice as many marks in english as in science. his total marks in english, science and maths are 180. if the ratio of his marks in english and maths is 1: 2, find his marks in science ?\nOptions: a. 19, b. 77, c. 66, d. 55, e. 31", "output": [ "a" ] }, { "id": "task1678-ac9997b857ce4f3f8b0e7f7e565e84de", "input": "Problem: what is 82 % of 3 / 5 ?\nOptions: a. 6.9, b. 0.492, c. 0.6845, d. 0.6859, e. 0.69", "output": [ "b" ] }, { "id": "task1678-c6ecad870061468faa3c01557ed06d09", "input": "Problem: country c imposes a two - tiered tax on imported cars: the first tier imposes a tax of 12 % of the car ' s price up to a certain price level. if the car ' s price is higher than the first tier ' s level, the tax on the portion of the price that exceeds this value is 9 %. if ron imported a $ 18000 imported car and ended up paying $ 1950 in taxes, what is the first tier ' s price level ?\nOptions: a. $ 11500, b. $ 11000, c. $ 12000, d. $ 12100, e. $ 12500", "output": [ "b" ] }, { "id": "task1678-d197e1986da34f42af2b161073e4d5ef", "input": "Problem: a 90 cm long wire is to be cut into two pieces so that one piece will be 2 / 7 th of the other, how many centimeters will the shorter piece be ?\nOptions: a. a. 73, b. b. 20, c. c. 83, d. d. 21, e. e. 52", "output": [ "b" ] }, { "id": "task1678-a633af1281764ed8b3ffac981e435a7b", "input": "Problem: the sum of 3 integers is 33. the largest integer is 3 times the middle integer, and the smallest integer is 23 less than the largest integer. what is the product of the 3 integers ?\nOptions: a. 192, b. 203, c. 214, d. 225, e. 236", "output": [ "a" ] }, { "id": "task1678-16b43db099fb40ddb1afb30f20a6d6bc", "input": "Problem: how many integers between 1 and 10 ^ 19 are such that the sum of their digits is 2 ?\nOptions: a. 190, b. 210, c. 211, d. 230, e. 231", "output": [ "a" ] }, { "id": "task1678-35f91013627444e8b2ff06aff0a12bc4", "input": "Problem: joe ’ s average ( arithmetic mean ) test score across 4 equally weighted tests was 70. he was allowed to drop his lowest score. after doing so, his average test score improved to 75. what is the lowest test score that was dropped ?\nOptions: a. 20, b. 25, c. 55, d. 65, e. 80", "output": [ "c" ] }, { "id": "task1678-2e7286751ddc4dd1983532ca9938e0ed", "input": "Problem: an error 2 % in excess is made while measuring the sideofa square. the % of error in the calculated area of the square is ?\nOptions: a. 4 %, b. 4.04 %, c. 4.15 %, d. 5 %, e. 5.24 %", "output": [ "b" ] }, { "id": "task1678-c81cc7c83208439c9d584d43d0574a3e", "input": "Problem: what is the normal price of an article sold at $ 144 after two successive discounts of 10 % and 20 % ?\nOptions: a. $ 184, b. $ 192, c. $ 200, d. $ 208, e. $ 216", "output": [ "c" ] }, { "id": "task1678-a194e036ada34c41b270857ce3e7ba33", "input": "Problem: the length of a room is 6.5 m and width is 2.75 m. what is the cost of paying the floor by slabs at the rate of rs. 600 per sq. metre.\nOptions: a. rs. 18725, b. rs. 16725, c. rs. 30725, d. rs. 10725, e. rs. 20725", "output": [ "d" ] }, { "id": "task1678-70556cc9a3df49cab318e52b2d879048", "input": "Problem: the number of diagonals of a polygon of n sides is given by the formula v = n ( n - 3 ) / 2. if a polygon has twice as many diagonals as sides, how many sides does it have ?\nOptions: a. 3, b. 5, c. 6, d. 7, e. 8", "output": [ "b" ] }, { "id": "task1678-5878bf09a3b34134a523a3f56c08f9e7", "input": "Problem: what is the least common multiple of 12,27 and 40\nOptions: a. 8521, b. 1080, c. 368, d. 8979, e. 6584", "output": [ "b" ] }, { "id": "task1678-851995520b3747e49d9612601b69bdc2", "input": "Problem: saturn travels around the sun at an approximate speed of 5.82 miles per second. this speed is how many kilometers per hour ? ( 1 km = 0.6 miles )\nOptions: a. 30,560, b. 31,650, c. 32,740, d. 33,830, e. 34,920", "output": [ "e" ] }, { "id": "task1678-e12449f26b96495488c87a30b0acddf2", "input": "Problem: total 30 cows 10 cow gives each 2 liter milk 10 cow gives each 3 / 4 liter milk 10 cow gives each 1 / 4 liter milk this is split into 3 son per each 10 cows & 10 liter milk how ?\nOptions: a. 10, b. 12, c. 15, d. 16, e. 18", "output": [ "a" ] }, { "id": "task1678-2b23d0b1e49547b4bdc7fdc89b19172c", "input": "Problem: if 15 % of 30 % of 50 % of a number is 108, then what is the number ?\nOptions: a. 4000, b. 3050, c. 4400, d. 4800, e. none of these", "output": [ "d" ] }, { "id": "task1678-2b36912a4fbb485a86111ef36d61fe54", "input": "Problem: andy solves problems 75 to 125 inclusive in a math exercise. how many problems does he solve ?\nOptions: a. 53, b. 52, c. 51, d. 50, e. 49", "output": [ "c" ] }, { "id": "task1678-8f44db341e46453a9e5065b41b2fa4e9", "input": "Problem: if a boat goes 7 km upstream in 42 minutes and the speed of the stream is 6 kmph, then the speed of the boat in still water is\nOptions: a. 12 kmph, b. 13 kmph, c. 14 kmph, d. 15 kmph, e. none of these", "output": [ "e" ] }, { "id": "task1678-65fbd27379154eab8683c70f81cf3b21", "input": "Problem: a worker earns $ 20 on the first day and spends $ 15 on the second day. the worker earns $ 20 on the third day and spends $ 15 on the fourth day. if this pattern continues, on which day will the worker first reach a net total of $ 80 ?\nOptions: a. 24, b. 25, c. 27, d. 30, e. 32", "output": [ "b" ] }, { "id": "task1678-e2461ea87854430d8ae0dfce54f73962", "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": "task1678-2f693da652954bffb847e26acc5a5a13", "input": "Problem: 26 buckets of water fill a tank when the capacity of each bucket is 13.5 litres. how many buckets will be required to fill the same tank if the capacity of each bucket is 9 litres ?\nOptions: a. 30, b. 39, c. 60, d. data inadequate, e. none of these", "output": [ "b" ] }, { "id": "task1678-ee65400ee58240b2a3c2659487fe55e4", "input": "Problem: a train is running at a speed of 40 km / hr and it crosses a post in 22.5 seconds. what is the length of the train ?\nOptions: a. 190 metres, b. 160 metres, c. 200 metres, d. 120 metres, e. 250 metres", "output": [ "e" ] }, { "id": "task1678-236de857a04c442e9fb1e74aea850524", "input": "Problem: at a florist shop on a certain day, all corsages sold for either $ 20 or $ 30. if 10 of the corsages that sold for $ 30 had instead sold for $ 20, then the store ' s revenue from corsages that day would have been reduced by 20 percent. what was the store ' s actual revenue from corsages that day ?\nOptions: a. $ 200, b. $ 400, c. $ 500, d. $ 800, e. $ 1000", "output": [ "c" ] }, { "id": "task1678-c2840fc27d13434f80d42eb1073c8ef3", "input": "Problem: it is currently 8: 12 pm. at what time in the morning was it exactly 205,106 minutes ago ?\nOptions: a. 9: 14, b. 9: 16, c. 9: 42, d. 9: 44, e. 9: 46", "output": [ "e" ] }, { "id": "task1678-1672c39541b248469f9b1a8eaf91ce19", "input": "Problem: a circular ground whose diameter is 70 metres, has a 2.8 metre - broad garden around it. what is the area of the garden in square metres ?\nOptions: a. 540.72, b. 740.64, c. 640.64, d. 620.45, e. 725.26", "output": [ "c" ] }, { "id": "task1678-02c8a27b604c43088aaae4a93228847c", "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": "task1678-d2e3f77224ad4556b3c51c2635786c18", "input": "Problem: what is the rate percent when the simple interest on rs. 720 amount to rs. 180 in 4 years ?\nOptions: a. 6.25, b. 7.25, c. 8.25, d. 9.25, e. 10.25", "output": [ "a" ] }, { "id": "task1678-1af4df2d7ab94b90aeeecdfbb939b787", "input": "Problem: when 242 is divided by a certain divisor the remainder obtained is 15. when 698 is divided by the same divisor the remainder obtained is 27. however, when the sum of the two numbers 242 and 698 is divided by the divisor, the remainder obtained is 5. what is the value of the divisor ?\nOptions: a. 11, b. 17, c. 13, d. 23, e. 37", "output": [ "e" ] }, { "id": "task1678-131c82c762514a03b62a1e86a003707f", "input": "Problem: if 25 % of a number is equal to one - third of another number, what is the ratio of first number to the second number ?\nOptions: a. 4: 3, b. 1: 4, c. 3: 7, d. 6: 11, e. 2: 3", "output": [ "a" ] }, { "id": "task1678-989c4b23ce124ec2aa15e6186bb59edf", "input": "Problem: gold is 19 times as heavy as water and copper is 9 times as heavy as water. in what ratio should these be mixed to get an alloy 15 times as heavy as water ?\nOptions: a. 3: 2, b. 3: 8, c. 5: 7, d. 3: 7, e. 3: 6", "output": [ "a" ] }, { "id": "task1678-1dd15332e365414abc2560e7e1dff5ac", "input": "Problem: find the cost of fencing around a circular field of diameter 32 m at the rate of rs. 2 a meter ?\nOptions: a. 201, b. 132, c. 772, d. 592, e. 261", "output": [ "a" ] }, { "id": "task1678-086d46e81586412b8bd456b60761bb27", "input": "Problem: how many liters of pure alcohol must be added to a 100 - liter solution that is 20 percent alcohol in order to produce a solution that is 40 percent alcohol ?\nOptions: a. 7 / 2, b. 5, c. 100 / 3, d. 8, e. 39 / 4", "output": [ "c" ] }, { "id": "task1678-76409ec7dea743f6b27d05661f39c2cf", "input": "Problem: a bookseller has two display windows. she plans to display 3 new fiction books in the left window, and 3 new non - fiction books in the right window. assuming she can put the 4 fiction books in any order, and separately, the 3 non - fiction books in any order, how many total configurations will there be for the two display windows ?\nOptions: a. 24, b. 72, c. 144, d. 36, e. 420", "output": [ "d" ] }, { "id": "task1678-77da24c6a9414de19d04d26c9215af93", "input": "Problem: find a two digit number, given that the sum of the digits is 11 and the difference of the digits is 5. ?\nOptions: a. 78, b. 53, c. 89, d. 83, e. 99", "output": [ "d" ] }, { "id": "task1678-1634c50e1bcb42c6bc560f061417d0cd", "input": "Problem: what is the remainder when 43 ^ 87 is divided by 5 ?\nOptions: a. 0, b. 1, c. 2, d. 3, e. 4", "output": [ "c" ] }, { "id": "task1678-8b1a678e8d13406d979f18bd28e19b19", "input": "Problem: if julie rows 32 km upstream and 72 km down steam taking 4 hours each, then the speed of the stream\nOptions: a. 1.5 kmph, b. 0.5 kmph, c. 0.4 kmph, d. 1.6 kmph, e. 2.5 kmph", "output": [ "b" ] }, { "id": "task1678-2d65c305e78e46d7aedced5e4957a2ea", "input": "Problem: for any positive integer n, the sum of the first n positive integers equals n ( n + 1 ) / 2. what is the sum of odd all the integers between 10 and 100 ?\nOptions: a. 1345, b. 1576, c. 2475, d. 2578, e. 1895", "output": [ "c" ] }, { "id": "task1678-9083c8f884fc4ad98ec669f0621b61ce", "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": "task1678-0bb4d8104ade48ce91d82f14a0355535", "input": "Problem: sally has a gold credit card with a certain spending limit, and a platinum card with twice the spending limit of the gold card. currently, she has a balance on her gold card that is 1 / 3 of the spending limit on that card, and she has a balance on her platinum card that is 1 / 7 of the spending limit on that card. if sally transfers the entire balance on her gold card to her platinum card, what portion of her limit on the platinum card will remain unspent ?\nOptions: a. 11 / 30, b. 29 / 42, c. 17 / 30, d. 19 / 30, e. 11 / 15", "output": [ "b" ] }, { "id": "task1678-492390e176874b68ad635ab4ea8fd1b6", "input": "Problem: of all the homes on gotham street, 1 / 3 are termite - ridden, and 4 / 7 of these are collapsing. what fraction of the homes are termite - ridden, but not collapsing ?\nOptions: a. 1 / 3, b. 1 / 4, c. 1 / 5, d. 1 / 6, e. 1 / 7", "output": [ "e" ] }, { "id": "task1678-61cd16f1810b47faae3da4d9f755341c", "input": "Problem: if the average ( arithmetic mean ) of x + 2, x + 3, and x + 4 is 0, then x =\nOptions: a. – 4, b. – 3, c. – 2, d. – 1, e. 0", "output": [ "b" ] }, { "id": "task1678-c4d2bed55f18434e9bc2818c9f4a0c5c", "input": "Problem: 2 + 2 + 2 ² + 2 ³... + 2 ^ 6\nOptions: a. 2 ^ 9, b. 2 ^ 10, c. 2 ^ 16, d. 2 ^ 35, e. 2 ^ 7", "output": [ "e" ] }, { "id": "task1678-664906631fd44b94928ef9753abe7adc", "input": "Problem: 54671 - 14456 - 31466 = ?\nOptions: a. 2449, b. 5449, c. 8749, d. 8449, e. 6468", "output": [ "c" ] }, { "id": "task1678-48f616bb2c99485f800da6fe95bf8b9f", "input": "Problem: what is the minimum value of | x - 4 | + | x + 5 | + | x - 5 | ?\nOptions: a. - 3, b. 3, c. 5, d. 7, e. 10", "output": [ "e" ] }, { "id": "task1678-176ce5fdd4cd44fdbcf2aa49695778b5", "input": "Problem: sravan travelled for 15 hours. he covered the first half of the distance at 45 kmph and remaining half of the distance at 30 kmph. find the distance travelled by sravan ?\nOptions: a. 520, b. 540, c. 550, d. 560, e. 440", "output": [ "b" ] }, { "id": "task1678-8b1dfc5be0b54a58b5460149c867651c", "input": "Problem: 50 litres of diesel is required to travel 600 km using a 800 cc engine. if the volume of diesel required to cover a distance varies directly as the capacity of the engine, then how many litres of diesel is required to travel 800 km using 1200 cc engine ?\nOptions: a. 80 litres, b. 90 litres, c. 100 litres, d. 170 litres, e. none of these", "output": [ "c" ] }, { "id": "task1678-061b0eee555e4ff489e178e4c9036995", "input": "Problem: a manufacturer produces a certain men ' s athletic shoe in integer sizes from 8 to 17. for this particular shoe, each unit increase in size corresponds to a 1 / 4 - inch increase in the length of the shoe. if the largest size of this shoe is 10 % longer than the smallest size, how long, in inches, is the shoe in size 15 ?\nOptions: a. 18.25, b. 20.75, c. 22.25, d. 24.25, e. 26.75", "output": [ "d" ] }, { "id": "task1678-3fa5e6fecd9e406b9310c9ebb59ec608", "input": "Problem: a student travels from his house to school at 10 km / hr and reaches school 2 hours late. the next day he travels 18 km / hr and reaches school 1 hour early. what is the distance between his house and the school ?\nOptions: a. 65.0, b. 67.5, c. 70.0, d. 72.5, e. 75.0", "output": [ "b" ] }, { "id": "task1678-5f4f68156a6748b09a6537d92378bc8b", "input": "Problem: excluding stoppages, the average speed of a bus is 75 km / hr and including stoppages, the average speed of the bus is 40 km / hr. for how many minutes does the bus stop per hour ?\nOptions: a. 15 min, b. 18 min, c. 16 min, d. 20 min, e. 28 min", "output": [ "e" ] }, { "id": "task1678-8135007bbf7d46508aba04ddcef554f8", "input": "Problem: find the area of a parallelogram with base 26 cm and height 16 cm ?\nOptions: a. 297 cm 2, b. 384 cm 2, c. 672 cm 2, d. 416 cm 2, e. 286 cm 2", "output": [ "d" ] }, { "id": "task1678-0da90eb7e7394b8ca946dab7364551db", "input": "Problem: by selling an article at rs. 600, a shopkeeper makes a profit of 25 %. at what price should he sell the article so as to make a loss of 25 % ?\nOptions: a. s. 360, b. s. 480, c. s. 500, d. s. 450, e. s. 550", "output": [ "a" ] }, { "id": "task1678-d82829c125424e6293e5740dfed26fa3", "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": "task1678-ab62b1165d5245f0a97981ef83764899", "input": "Problem: the length of a room is 5.5 m and width is 3.75 m. find the cost of paving the floor by slabs at the rate of rs. 600 per sq. metre.\nOptions: a. rs. 12375, b. rs. 15550, c. rs. 15600, d. rs. 16500, e. none of these", "output": [ "a" ] }, { "id": "task1678-315f9dfd16374fab9725201b955b620e", "input": "Problem: a and b started a business in partnership investing rs. 20,000 and rs. 15,000 respectively. after 6 months, c joined them with rs. 20,000. whatwill be b ' s share in total profit of rs. 15,000 earned at the end of 2 years from the startingof the business ?\nOptions: a. s. 5,000, b. s. 4,500, c. s. 5,700, d. s. 6,500, e. s. 7,500", "output": [ "b" ] }, { "id": "task1678-d28c57bc96aa4577ada099e097898dd6", "input": "Problem: if @ is a binary operation defined as the difference between an integer n and the product of n and 5, then what is the largest positive integer n such that the outcome of the binary operation of n is less than 14 ?\nOptions: a. 1, b. 2, c. 3, d. 4, e. 5", "output": [ "c" ] }, { "id": "task1678-c8897b625b354ea39fec61c7a4766d3f", "input": "Problem: if x ^ 2 – 4 x = 5, then one possible value of x – 2 =\nOptions: a. - 9, b. - 5, c. - 3, d. - 1, e. 5", "output": [ "c" ] }, { "id": "task1678-a5f10e974b9348638485af883f1d0758", "input": "Problem: if 9 workers can build 9 cars in 9 days, then how many days would it take 7 workers to build 7 cars ?\nOptions: a. 6, b. 7, c. 8, d. 9, e. 10", "output": [ "d" ] }, { "id": "task1678-24673b6ee0104cfa80b3c2b6de380067", "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": "task1678-193fee7d41784814a2b88a411e35ecef", "input": "Problem: a bakery has 6 employees. it pays annual salaries of $ 19,000 to each of 2 employees, $ 21,000 to 1 employee, and $ 22,000 to each of the remaining 3 employees. which number is closest to the average ( arithmetic mean ) annual salary of these employees ?\nOptions: a. $ 20,200, b. $ 20,500, c. $ 20,800, d. $ 21,000, e. $ 21,400", "output": [ "c" ] }, { "id": "task1678-03b38c615dc94ea6a184e2891cf9ff33", "input": "Problem: the length of a rectangular floor is more than its breadth by 200 %. if rs. 300 is required to paint the floor at the rate of rs. 5 per sq m, then what would be the length of the floor ?\nOptions: a. 65, b. 13.42, c. 18, d. 16, e. 14", "output": [ "b" ] }, { "id": "task1678-3250f4f035bb4811b7f586ae6295ecdb", "input": "Problem: the s. i. on a certain sum of money for 5 years at 10 % per annum is half the c. i. on rs. 5000 for 2 years at 12 % per annum. the sum placed on s. i. is ?\nOptions: a. 1585, b. 1454, c. 1656, d. 2458, e. 1272", "output": [ "e" ] }, { "id": "task1678-94571af441b8413e83f39c7d2011f191", "input": "Problem: the sum of all two digit numbers divisible by 8 is\nOptions: a. 910, b. 510, c. 611, d. 616, e. 810", "output": [ "d" ] }, { "id": "task1678-f5574d32c199438f8d79d398a3280a7f", "input": "Problem: dropbox charges $ 3.10 for first 1 / 5 of a month for 500 gb storage, plus $ 0.40 for each additional 1 / 5 of a month. what would dropbox charge for a data storage of 500 gb for 8 months ?\nOptions: a. $ 15.60, b. $ 16.00, c. $ 17.80, d. $ 18.70, e. $ 19.10", "output": [ "d" ] }, { "id": "task1678-d7350a35b6b847d6be727002f44b3b78", "input": "Problem: find the simple interest on rs. 72,000 at 16 2 / 3 % per year for 9 months.\nOptions: a. 7500, b. 6500, c. 9000, d. 9500, e. none of them", "output": [ "c" ] }, { "id": "task1678-74ef49e30723414cb54bc3c818d4678e", "input": "Problem: if it would take one machine 20 minutes to fill a large production order and another machine 30 minutes to fill the same order, how many minutes would it take both machines working together, at their respective rates, to fill the order ?\nOptions: a. 10 min, b. 12 min, c. 15 min, d. 20 min, e. 18 min", "output": [ "b" ] }, { "id": "task1678-3e50a7ef170c46089d63cd9a4c754612", "input": "Problem: how many digits are required to number a book containing 220 pages ?\nOptions: a. 674, b. 604, c. 552, d. 372, e. 250", "output": [ "c" ] }, { "id": "task1678-c7bcc78a067b49088035fa010e7f1055", "input": "Problem: a case of 12 rolls of paper towels sells for $ 9. the cost of one roll sold individually is $ 1. what is the percent w of savings per roll for the 12 - roll package over the cost of 12 rolls purchased individually ?\nOptions: a. 9 %, b. 11 %, c. 15 %, d. 25 %, e. 90 %", "output": [ "d" ] }, { "id": "task1678-467d431ab6cc46cbae710fe01756bea9", "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": "task1678-9412c3e729c14e8e8de1e9f5920a0d6f", "input": "Problem: a rectangular box of volume v has width, depth and height in the ratio of 2: 1: 3 ( in that order ). what is the height as a function of v ?\nOptions: ['a. ( v / 2 ) ^ ( 1 / 3 )', 'b. ( 2 v / 6 ) ^ ( 1 / 3 )', 'c. ( 9 v / 2 ) ^ ( 1 / 3 )', 'd. ( 4 v / 3 ) ^ ( 1 / 3 )', 'e. ( 4 v / 2 ) ^ ( 1 / 3 )']", "output": [ "c" ] }, { "id": "task1678-59df06cd96e341d09919293446f671aa", "input": "Problem: calculate the amount that an investor needs to be invest to earn $ 1005 in interest in 12 months if the investor plans to invest x dollars in a savings account that pays interest at an annual rate of 11 % compounded semi - annually ?\nOptions: a. 8000, b. 8100, c. 8900, d. 8600, e. 8400", "output": [ "c" ] }, { "id": "task1678-25b255b57a964c97be2a7694191adb9b", "input": "Problem: a reduction of 42 % in the price of bananas would enable a man to obtain 64 more for rs. 40, what is reduced price per dozen ?\nOptions: a. 2.15, b. 8.15, c. 7.15, d. 3.15, e. 1.15", "output": [ "d" ] }, { "id": "task1678-e7672b5eff4e42fab83705bcadbd44cf", "input": "Problem: a train crosses a bridge of length 1500 m in 70 seconds and a lamp post on the bridge in 20 seconds. what is the length of the train in metres ?\nOptions: a. 375 m, b. 750 m, c. 250 m, d. 600 m, e. 300 m", "output": [ "d" ] }, { "id": "task1678-01f60b2b76754ff6914e26d2f7aa3815", "input": "Problem: what will be the cost of building a fence around a square plot with area equal to 289 square feet, if the price per foot of building the fence is rs. 58 ?\nOptions: a. 3944, b. 3932, c. 3929, d. 3926, e. 3902", "output": [ "a" ] }, { "id": "task1678-a19e7d9edb0e4ea29c38b008843b19d7", "input": "Problem: for a race a distance of 224 meters can be covered by p in 28 seconds and q in 56 seconds. by what distance does p defeat q eventually ?\nOptions: a. 232 m, b. 224 m, c. 244 m, d. 231 m, e. 236 m", "output": [ "b" ] }, { "id": "task1678-6f10be6b7f004153b624f34d681ab1ed", "input": "Problem: points a, b, and, c have xy - coordinates ( 2,0 ), ( 8,12 ), and ( 14,0 ), respectively. points x, y, and z have xy - coordinates ( 6,0 ), ( 8,4 ), and ( 10,0 ), respectively. what fraction d of the area of triangle abc is the area of triangle xyz ?\nOptions: a. 1 / 9, b. 1 / 8, c. 1 / 6, d. 1 / 5, e. 1 / 3", "output": [ "a" ] }, { "id": "task1678-3141366fa1ed4246bbbe3585efdf8a90", "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": "task1678-336fde8672d5488a89b9833c22ddec35", "input": "Problem: the grade point average of the entire class is 90. if the average of one third of the class is 96, what is the average of the rest ?\nOptions: a. 92, b. 89, c. 88, d. 87, e. 86", "output": [ "d" ] }, { "id": "task1678-7f7b62916f834da7aa66bd8f56c80451", "input": "Problem: last year department store x had a sales total for december that was 6 times the average ( arithmetic mean ) of the monthly sales totals for january through november. the sales total for december was what fraction of the sales total for the year ?\nOptions: a. 6 / 17, b. 4 / 15, c. 1 / 3, d. 4 / 11, e. 4 / 5", "output": [ "a" ] }, { "id": "task1678-a23bb83a0e30441ca7b0ea964b245161", "input": "Problem: points a, b, and, c have xy - coordinates ( 2,0 ), ( 8,12 ), and ( 14,0 ), respectively. points x, y, and z have xy - coordinates ( 6,0 ), ( 8,4 ), and ( 10,0 ), respectively. what fraction c of the area of triangle abc is the area of triangle xyz ?\nOptions: ['a. 1 / 9', 'b. 1 / 8', 'c. 1 / 6', 'd. 1 / 5', 'e. 1 / 3']", "output": [ "a" ] }, { "id": "task1678-1fb90bd575b2498297cef6066e8782a5", "input": "Problem: if x is the median of the set { 9 / 2, 11 / 3, x, 28 / 9, 21 / 5 }, x could be\nOptions: a. 16 / 5, b. 17 / 5, c. 4 / 7, d. 30 / 7, e. 4", "output": [ "e" ] }, { "id": "task1678-b65f7577e4bc4b26859afd46dc8b7e1e", "input": "Problem: a can do a piece of work in 4 days. b can do it in 7 days. with the assistance of c they completed the work in 2 days. find in how many days can c alone do it ?\nOptions: a. 22 days, b. 28 / 3 days, c. 67 days, d. 17 / 5 days, e. 18 days", "output": [ "b" ] }, { "id": "task1678-ddac889ff57a4e29a21a57e8eb767daa", "input": "Problem: how many integers from 101 to 200, inclusive, are divisible by 3 but not divisible by 7 ?\nOptions: a. 20, b. 25, c. 28, d. 30, e. 40", "output": [ "c" ] }, { "id": "task1678-4574d849d9fa4deaaacd5b36dbaf9426", "input": "Problem: buses a and b start from a common bus stop x. bus a begins to travel in a straight line away from bus b at a constant rate of 30 miles per hour. one hour later, bus b begins to travel in a straight line in the exact opposite direction at a constant rate of 50 miles per hour. if both buses travel indefinitely, what is the positive difference, in minutes, between the amount of time it takes bus b to cover the exact distance that bus a has covered and the amount of time it takes bus b to cover twice the distance that bus a has covered ?\nOptions: a. 36, b. 84, c. 132, d. 144, e. 180", "output": [ "b" ] }, { "id": "task1678-280d1f3b5e2840588311b85d3594aa28", "input": "Problem: what is the remainder when 7 ^ 74 - 10 ^ 74 is divided by 24 ?\nOptions: a. 3, b. 1, c. 2, d. 0, e. none of these", "output": [ "d" ] }, { "id": "task1678-5223aa005d6f4b77b85e22d9e3b23236", "input": "Problem: what least no. must be subtracted from 101054 so that remaining no. is divisible by 10 ?\nOptions: a. 6, b. 4, c. 8, d. 5, e. 3", "output": [ "b" ] }, { "id": "task1678-742509f275844881a0f5a5f74c8b33c9", "input": "Problem: at what rate percent on simple interest will rs. 750 amount to rs. 900 in 8 years ?\nOptions: a. 6 %, b. 2.5 %, c. 4 %, d. 5 %, e. 3.5 %", "output": [ "b" ] }, { "id": "task1678-0eb91cb4bcde4a85b2974408c2821d35", "input": "Problem: machine – x produces 50 % of the total output and machine - y produces 75 % of the total output. an average of 9 units out of a 1000 goods manufactured by machine - x and two unit of 500 units produced by machine - x prove to be defective. what is the probability that a unit chosen at random from the total daily output of the factory is defective ?\nOptions: a. 0.008, b. 0.1, c. 0.12, d. 0.006, e. 0.007", "output": [ "d" ] }, { "id": "task1678-0d559e54249f4eecad6b3cd4a7924ead", "input": "Problem: what is the units digit of ( 5 ! * 4 ! + 6 ! * 5 ! ) / 2 ?\nOptions: a. 4, b. 3, c. 0, d. 1, e. 2", "output": [ "c" ] }, { "id": "task1678-eb62559edf354e03a7328dbe348bccc7", "input": "Problem: find the cost of fencing around a circular field of diameter 22 m at the rate of rs. 2.50 a meter ?\nOptions: a. 188, b. 172, c. 278, d. 279, e. 222", "output": [ "b" ] }, { "id": "task1678-aecbce89f68847cd9366c7340cbe2528", "input": "Problem: two cycles are standing side - by - side. one cycle, which is 2.5 feets tall, casts a shadow that is 5 feets long. the other cycle is 2 feets tall. compute, in feets, the length of the shadow that the shorter cycle casts.\nOptions: a. 3, b. 4, c. 6, d. 8, e. 10", "output": [ "b" ] }, { "id": "task1678-b1e05a31ff5440d49202f5ef58bb7685", "input": "Problem: stacy has a 12 page history paper due in 12 days. how many pages per day would she have to write to finish on time ?\nOptions: a. 9, b. 8, c. 10, d. 1, e. 6", "output": [ "d" ] }, { "id": "task1678-59f4b586f7e84921a31a36280e1c993e", "input": "Problem: a shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 10 % while buying and by 20 % while selling. what is his percentage profit ?\nOptions: a. 10.22 %, b. 20.22 %, c. 21.22 %, d. 10 %, e. ca n ' t be calculated", "output": [ "d" ] }, { "id": "task1678-cb1fdc569ce543aabcd3b0ee5538e83f", "input": "Problem: on a two - dimensional coordinate plane, the line a = x ^ 2 - x ^ 3 touches the x - axis in how many places ?\nOptions: a. 0, b. 1, c. 2, d. 3, e. 4", "output": [ "c" ] }, { "id": "task1678-e24f8aa8f29d4f3cbe825f6f2d8722e9", "input": "Problem: if the wages of 6 men for 15 days be rs. 2100, then find the wages of for 12 days.\nOptions: a. rs. 2420, b. rs. 2500, c. rs. 2520, d. rs. 2020, e. rs. 2650", "output": [ "c" ] }, { "id": "task1678-11a5059c84e64f22a72ba3813d8ab651", "input": "Problem: a technician makes a round - trip to and from a certain service center by the same route. if the technician completes the drive to the center and then completes 40 percent of the drive from the center, what percent of the round - trip has the technician completed ?\nOptions: a. 5 %, b. 70 %, c. 25 %, d. 40 %, e. 55 %", "output": [ "b" ] }, { "id": "task1678-7da1083659704b5c94924bf22d506677", "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": "task1678-be7a779b673942348fde313419c43a91", "input": "Problem: convert the 15 / 36 m / s into kilometers per hour ?\nOptions: a. 1.7, b. 1.5, c. 1.3, d. 1.1, e. 1.2", "output": [ "b" ] }, { "id": "task1678-1fd36e6917004cb488227d34cab22fa3", "input": "Problem: 3 positive integers a, b, and c are such that their average is 20 and a ≤ b ≤ c. if the median is ( a + 13 ), what is the least possible value of c ?\nOptions: a. 21, b. 22, c. 23, d. 24, e. 25", "output": [ "e" ] }, { "id": "task1678-945114add5e84909964ee397916bf055", "input": "Problem: if a certain coin is flipped, the probability that the coin will land heads is 1 / 2. if the coin is flipped 6 times, what is the probability that it will land heads up on the first 4 flips but not on the last 2 flips ?\nOptions: a. 1 / 8, b. 1 / 16, c. 1 / 32, d. 1 / 64, e. 1 / 128", "output": [ "d" ] }, { "id": "task1678-fb5355950d6247aa984cfdb33b7c9fed", "input": "Problem: if n is a positive integer, what is the remainder when ( 6 ^ ( 4 n + 3 ) ) ( 6 ^ n ) is divided by 10 ?\nOptions: a. 7, b. 2, c. 4, d. 6, e. 8", "output": [ "a" ] }, { "id": "task1678-3b578ddfa60a4971b303320b2b6af569", "input": "Problem: what number is 60 more than two - fourth of itself ?\nOptions: a. 180, b. 225, c. 288, d. 324, e. 336", "output": [ "a" ] }, { "id": "task1678-364a44f06e6046ef9917fb99d76e9fa9", "input": "Problem: a man goes downstream at 10 kmph, and upstream 8 kmph. the speed of the stream is\nOptions: a. 0 kmph, b. 4 kmph, c. 1 kmph, d. 2.5 kmph, e. 26 kmph", "output": [ "c" ] }, { "id": "task1678-ddb1154739004756ba73241e0b17f5a6", "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": "task1678-4fcbd68deb92474f868c840ac3627166", "input": "Problem: if a * b * c = ( √ ( a + 2 ) ( b + 3 ) ) / ( c + 1 ), find the value of 6 * 15 * 1.\nOptions: a. 8, b. 5, c. 2, d. 3, e. 4", "output": [ "c" ] }, { "id": "task1678-0c3e304d318a47a9880ddabe0f22e9eb", "input": "Problem: if 2 ^ 2 n + 2 ^ 2 n + 2 ^ 2 n + 2 ^ 2 n = 4 ^ 22, then n =\nOptions: a. 3, b. 6, c. 12, d. 23, e. 21", "output": [ "e" ] }, { "id": "task1678-ba9e014ca917480da18885631b783be7", "input": "Problem: a is the average ( arithmetic mean ) of the first 7 positive multiples of 5 and b is the median of the first 3 positive multiples of positive integer n. if the value of a ^ 2 – b ^ 2 is zero, what is the value of n ?\nOptions: a. 5, b. 6, c. 10, d. 15, e. 20", "output": [ "c" ] }, { "id": "task1678-fe3b7c0815a74e73bf2ad0dc380b500e", "input": "Problem: length of a rectangular plot is 10 mtr more than its breadth. if the cost of fencin g the plot at 26.50 per meter is rs. 5300, what is the length of the plot in mtr ?\nOptions: a. 46 m, b. 55 m, c. 58 m, d. 78 m, e. 80 m", "output": [ "b" ] }, { "id": "task1678-0323e7c4b90848b68c9e3a2f5af7477f", "input": "Problem: 2 men and 4 women are lined up in a row. what is the number of cases where they stand with each other in turn ? ( the number of cases in which men ( or women ) do not stand next to each other )\nOptions: a. 12, b. 15, c. 18, d. 21, e. 48", "output": [ "e" ] }, { "id": "task1678-63e9859c017743089b9ea4f4b2ae4ff8", "input": "Problem: the sale price sarees listed for rs. 375 after successive discount is 20 % and 15 % is ?\nOptions: a. 227, b. 268, c. 342, d. 787, e. 285", "output": [ "e" ] }, { "id": "task1678-3c72006ad6c846aba124b64193fa8d92", "input": "Problem: each day a man meets his wife at the train station after work, and then she drives him home. she always arrives exactly on time to pick him up. one day he catches an earlier train and arrives at the station an hour early. he immediately begins walking home along the same route the wife drives. eventually his wife sees him on her way to the station and drives him the rest of the way home. when they arrive home the man notices that they arrived 40 minutes earlier than usual. how much time did the man spend walking ?\nOptions: a. 45 minutes, b. 50 minutes, c. 40 minutes, d. 55 minutes, e. 35 minutes", "output": [ "c" ] }, { "id": "task1678-3188e1fc17264385bd1fbd0393564ead", "input": "Problem: students at a school were on average 180 cm tall. the average female height was 170 cm, and the average male height was 184 cms. what was the ratio a of men to women ?\nOptions: a. 5: 2, b. 5: 1, c. 4: 3, d. 4: 1, e. 3: 1", "output": [ "a" ] }, { "id": "task1678-68bc8aaf103f49b8be290ed7439efa16", "input": "Problem: if ( 8000 ) ( 6000 ) = ( 480 ) ( 10 ^ y ), what is the value of y ?\nOptions: a. 5, b. 4, c. 3, d. 2, e. 1", "output": [ "a" ] }, { "id": "task1678-6814031ee8ed4370b3975f855c03507e", "input": "Problem: if ( 5 + k ) ( 5 - k ) = ( 5 ^ 2 ) - ( 2 ^ 3 ), then what is the value of k ?\nOptions: a. 1, b. 3, c. 4, d. 2, e. 6", "output": [ "d" ] }, { "id": "task1678-cae33b6315af437590103f1ac411af67", "input": "Problem: a train consists of 48 boxcars pulled by 2 engines. the boxcars are 15 meters long and the two engines are each 20 meters long. it crosses over a highway 24 meters wide at a speed of 14 m / s. how long does it take for the entire train to cross ?\nOptions: a. 56 sec, b. 63 sec, c. 72 sec, d. 81 sec, e. 88 sec", "output": [ "a" ] }, { "id": "task1678-d399cca7314c42679cc6b33f02af5d5d", "input": "Problem: the average age of 40 students in a class is 10 years. if teacher ' s age is also included then average increases 1 year then find the teacher ' s age ?\nOptions: a. 59, b. 55, c. 61, d. 51, e. 36", "output": [ "d" ] }, { "id": "task1678-d1050d8b1dc047d39b5d76b9ca3e598f", "input": "Problem: a store reported total sales of $ 416 million for february of this year. if the total sales for the same month last year was $ 320 million, approximately what was the percent increase in sales ?\nOptions: a. 2 %, b. 17 %, c. 30 %, d. 65 %, e. 83 %", "output": [ "c" ] }, { "id": "task1678-35b7a1ac4cf347698fd7de215ccd117a", "input": "Problem: the ratio of the radius of two circles is 2: 5, and then the ratio of their areas is ?\nOptions: a. 4: 25, b. 2: 9, c. 1: 9, d. 3: 7, e. 3: 4", "output": [ "a" ] }, { "id": "task1678-7afd1aa8dda4401cae8cc374ecf809a7", "input": "Problem: a, b and c start a business each investing 20,000. after 5 months a withdrew 5000, b withdrew 4000 and c invests 6000 more. at the end of the year, a total profit of 69,900 was recorded. find the share of b.\nOptions: a. 20,000, b. 21,200, c. 28,200, d. 20,500, e. none of these", "output": [ "c" ] }, { "id": "task1678-d1bc4cf825fc4a74a7e3f042221c04e6", "input": "Problem: of the families in city x in 2000, 30 percent owned a personal computer. the number of families in city x owning a computer in 2004 was 20 percent greater than it was in 1994, and the total number of families in city x was 10 percent greater in 2004 than it was in 2000. what percent of the families in city x owned a personal computer in 1998 ?\nOptions: a. 55.42 %, b. 52.25 %, c. 56.23 %, d. 30.70 %, e. 32.72 %", "output": [ "e" ] }, { "id": "task1678-65b94d218f41499884a05b7946bf286d", "input": "Problem: raman mixed 48 kg of butter at rs. 150 per kg with 36 kg butter at the rate of rs. 125 per kg. at what price per kg should he sell the mixture to make a profit of 40 % in the transaction ?\nOptions: a. 129, b. 287, c. 195, d. 188, e. 112", "output": [ "c" ] }, { "id": "task1678-e3a7babe28ec4bed903082a1f49dc548", "input": "Problem: how many odd factors does 460 have ?\nOptions: a. 3, b. 4, c. 5, d. 6, e. 8", "output": [ "b" ] }, { "id": "task1678-2a47fa6385d24128bb024995ce73d70f", "input": "Problem: how many integers between 50 and 100 can be evenly divided by neither 3 nor 5 ?\nOptions: a. 24, b. 25, c. 26, d. 27, e. 28", "output": [ "c" ] }, { "id": "task1678-3a571787cd7545a7b6f9769a1bcd30c9", "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": "task1678-4225a08570764c5db1d9932104a6d02a", "input": "Problem: in what time will a train 100 metres long cross an electric pole, if its speed be 144 km / hr ?\nOptions: a. 2.5 sec, b. 4.25 sec, c. 5 sec, d. 12.5 sec, e. none", "output": [ "a" ] }, { "id": "task1678-2b5746ce8ea74deb98a10273e3d0e465", "input": "Problem: in a garden, there are 10 rows and 13 columns of mango trees. the distance between the two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden. the length of the garden is\nOptions: a. 20 m, b. 22 m, c. 24 m, d. 26 m, e. 28 m", "output": [ "d" ] }, { "id": "task1678-c98475f422664d799cbb00e16490f382", "input": "Problem: how many 3 - digit even numbers are possible such that if one of the digits is 3, the next / succeeding digit to it should be 7 ?\nOptions: a. 495, b. 305, c. 365, d. 405, e. 5", "output": [ "e" ] }, { "id": "task1678-26c95522693945b88c0f9f5c073b2803", "input": "Problem: a certain company reported that the revenue on sales increased 40 % from 2000 to 2003, and increased 70 % from 2000 to 2005. what was the approximate percent increase in revenue for this store from 2003 to 2005 ?\nOptions: a. 50 %, b. 40 %, c. 35 %, d. 32 %, e. 21 %", "output": [ "e" ] }, { "id": "task1678-a52e7509635d455eab43d6bdac414180", "input": "Problem: a start walking from a place at a uniform speed of 4 kmph in a particular direction. after half an hour, b starts from the same place and walks in the same direction as a at a uniform speed and overtakes a after 1 hour 48 minutes. find the speed of b.\nOptions: a. 4.7 kmph, b. 4.6 kmph, c. 4 kmph, d. 7 kmph, e. 5.3 kmph", "output": [ "b" ] }, { "id": "task1678-9bfe288534fe4e199126a21f081d583b", "input": "Problem: due to construction, the speed limit along an 9 - mile section of highway is reduced from 55 miles per hour to 40 miles per hour. approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ?\nOptions: a. a. 5.61, b. b. 3.69, c. c. 10, d. d. 15, e. e. 24", "output": [ "b" ] }, { "id": "task1678-44b76956f2e84c709f343e664ce2d8a0", "input": "Problem: how many figures are required to number the pages the pages of a book containing 2200 pages ?\nOptions: a. 7593, b. 6693, c. 7693, d. 7793, e. 7893", "output": [ "c" ] }, { "id": "task1678-1706e4b9ed244f8dae6aa7458b83c88c", "input": "Problem: there are two cars. one is 100 miles north of the other. simultaneously, the car to the north is driven westward at 10 miles per hour and the other car is driven eastward at 15 miles per hour. how many miles apart are the cars after 3 hours ?\nOptions: a. 125, b. 150, c. 200, d. 225, e. 250", "output": [ "a" ] }, { "id": "task1678-825b851c8f794d628584f52d682f7cc9", "input": "Problem: what decimal fraction is 90 ml of a litre ?\nOptions: a.. 9, b.. 009, c.. 09, d. 0.09, e. none of these", "output": [ "c" ] }, { "id": "task1678-a9892ee016224a8c8542beb12e00eb50", "input": "Problem: what is the smallest integer k for which 64 ^ k > 4 ^ 20 ?\nOptions: a. 4, b. 5, c. 6, d. 7, e. 8", "output": [ "d" ] }, { "id": "task1678-85f8223bb8cd45ddb8995a976a1d39dc", "input": "Problem: a cyclist traveled for two days. on the second day the cyclist traveled 4 hours longer and at an average speed 10 mile per hour slower than she traveled on the first day. if during the two days she traveled a total of 210 miles and spent a total of 12 hours traveling, what was her average speed on the second day ?\nOptions: a. 5 mph, b. 10 mph, c. 20 mph, d. 30 mph, e. 40 mph", "output": [ "d" ] }, { "id": "task1678-8c5baf86912b4c40823adb27f4126da0", "input": "Problem: a cistern 8 m long and 4 m wide contains water up to a depth of 1 m 25 cm. the total area of the wet surface is :\nOptions: a. 62 m 2, b. 50 m 2, c. 53.5 m 2, d. 55 m 2, e. 57 m 2", "output": [ "a" ] }, { "id": "task1678-865eae45243a4c17838edd4333b2e4a7", "input": "Problem: if 2994 ã · 14.5 = 179, then 29.94 ã · 1.45 = ?\nOptions: a. 17.1, b. 17.3, c. 17.5, d. 17.7, e. 17.9", "output": [ "e" ] }, { "id": "task1678-6dd3dc18e8884df7997130dbde585710", "input": "Problem: ( √ 27 + √ 243 ) / √ 75 = ?\nOptions: a. 2 √ 2, b. 2 √ 3, c. 3 √ 2, d. 3 √ 3, e. 12 / 5", "output": [ "e" ] }, { "id": "task1678-6dc29b9633774e7bb34a8fb19b46b499", "input": "Problem: a set s = { x, - 8, - 7, - 6, 6, 8, 9, y } with elements arranged in increasing order. if the median and the mean of the set are the same, what is the value of | x | - | y | ?\nOptions: a. 1, b. 0, c. 2, d. - 1, e. can not be determined", "output": [ "c" ] }, { "id": "task1678-9dbafd5d1b234e97a920e6cfe913f3e8", "input": "Problem: two trains, one from howrah to patna and the other from patna to howrah, start simultaneously. after they meet, the trains reach their destinations after 10 hours and 8 hours respectively. the ratio of their speeds is\nOptions: a. 4: 9, b. 4: 3, c. 4: 12, d. 4: 8, e. 4: 5", "output": [ "e" ] }, { "id": "task1678-9dd0412db2af40248289907248761bea", "input": "Problem: in a certain pond, 50 fish were caught, tagged, and returned to the pond. a few days later, 50 fish were caught again, of which 8 were found to have been tagged. if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond ?\nOptions: a. 400, b. 625, c. 1,250, d. 2,500, e. 312", "output": [ "e" ] }, { "id": "task1678-eed3af3b70424f5dae10d3768a3effcb", "input": "Problem: what is the sum of the digits of integer k, if k = ( 10 ^ 45 - 46 )\nOptions: a. 356, b. 366, c. 363, d. 396, e. 408", "output": [ "d" ] }, { "id": "task1678-36d6076178ef4ae98670f54b77df685d", "input": "Problem: if 5 a = 3125, then the value of 5 ( a - 3 ) is :\nOptions: a. 25, b. 125, c. 625, d. 1625, e. none of these", "output": [ "a" ] }, { "id": "task1678-dcaa27e353a04f898ba881b2f913564b", "input": "Problem: in an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. if he attempts all 60 questions and secures 130 marks, the no of questions he attempts correctly is :\nOptions: a. 33, b. 38, c. 99, d. 27, e. 71", "output": [ "b" ] }, { "id": "task1678-fae6ab91fd2745759295c051721d1043", "input": "Problem: there are 27 different 3 - digit integers that can be formed using only the digits 3, 4 and 5. if all 27 of the integers were listed, what would their sum be ?\nOptions: a. 11,888, b. 11,988, c. 12,088, d. 12,188, e. 12,288", "output": [ "b" ] }, { "id": "task1678-36b0954f7e15499ead2f6230fb172a6e", "input": "Problem: if f ( x ) = 12 - x ^ 2 / 2 and f ( 2 k ) = 4 k, what is one possible value for k ?\nOptions: a. 2, b. 3, c. 4, d. 6, e. 8", "output": [ "c" ] }, { "id": "task1678-a01438b7c7834b79ab4e06d2733187b4", "input": "Problem: what is the units digit of 2222 ^ ( 555 ) * 3333 ^ ( 222 ) ?\nOptions: a. 0, b. 2, c. 4, d. 6, e. 8", "output": [ "b" ] }, { "id": "task1678-791851933d224914a40770fdd06de361", "input": "Problem: a is half good a work man as b and together they finish a job in 20 days. in how many days working alone b finish the job ?\nOptions: a. 98 days, b. 30 days, c. 17 days, d. 18 days, e. 19 days", "output": [ "b" ] }, { "id": "task1678-0adf07d78e814b6590c0b99f20661dde", "input": "Problem: what is the value of n if the sum of the consecutive odd intergers y from 1 to n equals 169 ?\nOptions: a. 47, b. 25, c. 37, d. 33, e. 29", "output": [ "b" ] }, { "id": "task1678-e8866c975f3a49a091bafc6948cf9dd3", "input": "Problem: if log 4 x + log 4 ( 1 / 6 ) = 1 / 2 then the value of x is ?\nOptions: a. 18, b. 24, c. 16, d. 12, e. 10", "output": [ "d" ] }, { "id": "task1678-2966b8223f154ddca84ae052bf8bbb9a", "input": "Problem: what quantity of water should taken out to concentrate 27 liters of 40 % acidic liquid to 60 % acidic liquid ?\nOptions: a. 5 liters, b. 10 liters, c. 15 liters, d. 9 liters, e. 6 liters", "output": [ "d" ] }, { "id": "task1678-f84e7dbb9e5d48eb976870c227d9ea22", "input": "Problem: marts income is 30 percent more than tims income and tims income is 40 percent less than juans income. what percentage of juans income is marts income\nOptions: a. 124 %, b. b. 120 %, c. c. 78 %, d. d. 80 %, e. e. 64 %", "output": [ "c" ] }, { "id": "task1678-0382eb2cdff1474e93fd9927bd637cad", "input": "Problem: there is a 5 - digit number. the fifth digit is one fourth of the third digit and one half of the fourth digit. third digit is one half of the first digit. second digit is 5 more than the fifth digit. what is that 5 - digit number ?\nOptions: a. 86421, b. 86424, c. 89421, d. 96421, e. 76421", "output": [ "a" ] }, { "id": "task1678-2000fc932c3543df80fdde98929015f9", "input": "Problem: what is the tens digit of 6 ^ 10 ?\nOptions: a. 7, b. 3, c. 5, d. 1, e. 9", "output": [ "a" ] }, { "id": "task1678-076aef064aeb4a869686b81c7dea9522", "input": "Problem: a certain sum is invested at simple interest at 18 % p. a. for two years instead of investing at 12 % p. a. for the same time period. therefore the interest received is more by rs. 840. find the sum ?\nOptions: a. 7000, b. 2787, c. 2799, d. 2699, e. 2790", "output": [ "a" ] }, { "id": "task1678-0c66f55dd38c44e3a34f3856bf459786", "input": "Problem: for any number z, z * is defined as the greatest positive even integer less than or equal to y. what is the value of 6.15 – 6.15 * ?\nOptions: a. 1.5, b. 0.15, c. 6.25, d. 0.25, e. 6.0", "output": [ "b" ] }, { "id": "task1678-e06db92bb1d34556a884980abd0c024a", "input": "Problem: when positive integer x is divided by positive integer y, the remainder is 9. if x / y = 96.15, what is the value of y ?\nOptions: a. 96, b. 60, c. 48, d. 25, e. 12", "output": [ "b" ] }, { "id": "task1678-dda9901be9c74ceaa8787b3aa89b90b2", "input": "Problem: the cost of the paint is rs. 40.00 per kg. if 1 kg of paint covers 20 sq. ft, how much will it cost to paint outside of a cube having 10 feet each side\nOptions: a. rs. 1200, b. rs. 672, c. rs. 546, d. rs. 876, e. none of these", "output": [ "a" ] }, { "id": "task1678-6464ec3066534608876e64d71384e9f7", "input": "Problem: what is the perimeter of a rectangular field whose diagonal is 10 m and length is 3 m ?\nOptions: ['a. 12 m', 'b. 5 m', 'c. 10 m', 'd. 8 m', 'e. 6 m']", "output": [ "d" ] }, { "id": "task1678-49fccd5af0a845d0b5bad26c31aab3a4", "input": "Problem: cereal a is 10 % sugar by weight, whereas healthier but less delicious cereal b is 2 % sugar by weight. to make a delicious and healthy mixture that is 3 % sugar, what should be the ratio of cereal a to cereal b, by weight ?\nOptions: a. 2: 9, b. 2: 7, c. 1: 7, d. 1: 4, e. 1: 3", "output": [ "c" ] }, { "id": "task1678-17ddb8ddc414448c8d45d03259494d6a", "input": "Problem: a man can row at 5 kmph in still water. if the velocity of current is 3 kmph and it takes him 1 hour to row to a place and come back, how far is the place ?\nOptions: a. 2.4 km, b. 2.9 km, c. 3.4 km, d. 4.4 km, e. 1.6 km", "output": [ "e" ] }, { "id": "task1678-82be8a8aa22948b4ba26e6f97ef6d6f9", "input": "Problem: a 120.00001 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. what is the length of the other train ?\nOptions: a. 220 meter, b. 225 meter, c. 380 meter, d. 435 meter, e. none of these", "output": [ "c" ] }, { "id": "task1678-c417488ba6144674965b287a88d26767", "input": "Problem: the ratio between the length and the breadth of a rectangular plot is 7: 5. if the perimeter of the plot is 288 metres, what is its area ?\nOptions: ['a. 1320 sq. metres', 'b. 3260 sq. metres', 'c. 4280 sq. metres', 'd. 5040 sq. metres', 'e. none of these']", "output": [ "d" ] }, { "id": "task1678-e1447f4011be4ac0858164267ff685ab", "input": "Problem: during the first two weeks of january, the total rainfall in springdale was 20 inches. if the rainfall during the second week was 1.5 times the rainfall during the first week, what was the rainfall during the second week of january ?\nOptions: a. 5 inches, b. 6 inches, c. 9 inches, d. 10 inches, e. 12 inches", "output": [ "e" ] }, { "id": "task1678-15d5ae1a2614441d9446c099e94c985d", "input": "Problem: the set s consists of 5 numbers: { 1, 2,3, 4,5 }. if all possible subsets including the null set are created and one subset is chosen at random, what is the probability that the subset has 3 or 4 as its largest number ?\nOptions: a. 3 / 4, b. 3 / 8, c. 3 / 16, d. 5 / 16, e. 3 / 32", "output": [ "b" ] }, { "id": "task1678-222c6e8ec96b4e0ca7e66244c1fcfbae", "input": "Problem: an exam consists of 8 true / false questions. brian forgets to study, so he must guess blindly on each question. if any score above 80 % is a passing grade, what is the probability that brian passes ?\nOptions: a. 1 / 16, b. 37 / 256, c. 1 / 2, d. 219 / 256, e. 125 / 256", "output": [ "e" ] }, { "id": "task1678-6de5399e79ec4cb3a09c4e99e3e143d0", "input": "Problem: in a certain animal population, for each of the first 3 months of life, the probability that an animal will die during that month is 1 / 4. for a group of 200 newborn members of the population, approximately how many would be expected to survive the first 3 months of life ?\nOptions: a. 40, b. 46, c. 52, d. 62, e. 85", "output": [ "e" ] }, { "id": "task1678-0069df9d0c66491d8b7a312c3c210026", "input": "Problem: how many 4 digit numbers are there, if it is known that the first digit is even, the second is odd, the third is prime, the fourth ( units digit ) is divisible by 4, and the digit 2 can be used only once ?\nOptions: a. 20, b. 150, c. 225, d. 300, e. 320", "output": [ "c" ] }, { "id": "task1678-6013d214e25345c3bec3b1dd91288e7c", "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": "task1678-f5cbc70b920b47b2a82306df9d4d1f74", "input": "Problem: if a randomly selected positive single digit multiple of 3 is multiplied by a randomly selected prime number less than 20, what is the probability q that this product will be a multiple of 45 ?\nOptions: a. 1 / 32, b. 1 / 28, c. 1 / 24, d. 1 / 16, e. 1 / 14", "output": [ "c" ] }, { "id": "task1678-52c24747fe214716971c18d38969454e", "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": "task1678-427adacc6c9344bea2ee61732f84200f", "input": "Problem: a courier charges for packages to a certain destination are 65 cents for the first 250 grams and 10 cents for each additional 100 grams or part thereof. what could be the weight in grams of a package for which the charge is $ 2.15 ?\nOptions: a. 980, b. 1120, c. 1260, d. 1420, e. 1670", "output": [ "e" ] }, { "id": "task1678-ce107d1430864129861e96c9ba02e08f", "input": "Problem: if rs. 7500 are borrowed at c. i at the rate of 4 % per annum, then after 1 year the amount to be paid is ?\nOptions: a. 3377, b. 2688, c. 2688, d. 7800, e. 1268", "output": [ "d" ] }, { "id": "task1678-ebb5095de1144d08a489acc44b7f01e7", "input": "Problem: a shopkeeper buys mangoes at the rate of 7 a rupee and sells them at 5 a rupee. find his net profit or loss percent ?\nOptions: a. 40 %, b. 90 %, c. 33 %, d. 35 %, e. 30 %", "output": [ "a" ] }, { "id": "task1678-1ecb7afaacc1444b9d9fb57f6de1674f", "input": "Problem: the difference between a number and its two - fifth is 510. what is 12 % of that number ?\nOptions: a. 58, b. 110, c. 76, d. 102, e. 86", "output": [ "d" ] }, { "id": "task1678-35a927ae552f49808b552a4b2cf20a79", "input": "Problem: a car gets 24 miles to the gallon. if it is modified to use a solar panel, it will use only 75 percent as much fuel as it does now. if the fuel tank holds 12 gallons, how many more miles will the car be able to travel, per full tank of fuel, after it has been modified ?\nOptions: a. 96, b. 100, c. 104, d. 108, e. 112", "output": [ "a" ] }, { "id": "task1678-4e946fdf92de41059056fd6d755159ba", "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": "task1678-da3a0536f25f4a91b29d2d411d6f4647", "input": "Problem: in a dance competition the points in each round for the first, second, third and fourth position were 10050, 2010. no other points were given. ashita participated in several rounds in the competition and the product of her score was 50000. in how many rounds did she participate ?\nOptions: a. 3, b. 2, c. 1, d. 5, e. can not be determined", "output": [ "e" ] }, { "id": "task1678-e0a098b800344b108ecb20a8188abf77", "input": "Problem: a metallic sheet is of rectangular shape with dimensions 46 m x 36 m. from each of its corners, a square is cut off so as to make an open box. if the length of the square is 8 m, the volume of the box ( in m 3 ) is :\nOptions: a. 4830, b. 5120, c. 6420, d. 4800, e. 8960", "output": [ "d" ] }, { "id": "task1678-41af1a8d0e9f4bad829188237177ff7c", "input": "Problem: in an election between two candidates, one got 60 % of the total valid votes, 30 % of the votes were invalid. if the total number of votes was 9000, the number of valid votes that the other candidate got, was :\nOptions: a. 2500, b. 2520, c. 3000, d. 3100, e. none of these", "output": [ "b" ] }, { "id": "task1678-db002d11ea46482ebc36f7d2094a9f6a", "input": "Problem: on a certain road, 10 % of the motorists exceed the posted speed limit and receive speeding tickets, but 20 % of the motorists who exceed the posted speed limit do not receive speeding tickets. what percent of the motorists on that road exceed the posted speed limit ?\nOptions: a. 10.5 %, b. 12.5 %, c. 15 %, d. 22 %, e. 30 %", "output": [ "b" ] }, { "id": "task1678-c67ed2800bbd4bb1a1d1444ce863cdf7", "input": "Problem: x and y are two towns. ganesh covers the distance from x to y at an average speed of 60 km / hr. however, he covers the distance from y to x at an average speed of 30 km / hr. his average speed during the whole journey in km / hr. is :\nOptions: a. 34, b. 43, c. 40, d. 38, e. 29", "output": [ "c" ] }, { "id": "task1678-89292ca247a6450dae75c4e4c55ce24b", "input": "Problem: a drink vendor has 20 liters of maaza, 144 liters of pepsi and 368 liters of sprite. he wants to pack them in cans, so that each can contains the same number of liters of a drink, and does n ' t want to mix any two drinks in a can. what is the least number of cans required ?\nOptions: a. 135, b. 137, c. 142, d. 130, e. 133", "output": [ "e" ] }, { "id": "task1678-4e1fccc696b04df79814b00ebcdc0d85", "input": "Problem: jonathan can type a 40 page document in 40 minutes, susan can type it in 30 minutes, and jack can type it in 24 minutes. working together, how much time will it take them to type the same document ?\nOptions: a. 5 minutes, b. 10 minutes, c. 15 minutes, d. 18 minutes, e. 20 minutes", "output": [ "b" ] }, { "id": "task1678-700520b886e5439cbbd3a21b7fe76723", "input": "Problem: find the least number must be subtracted from 62575 so that remaining number is divisible by 99.\nOptions: a. 93, b. 7, c. 54, d. 9, e. 6", "output": [ "b" ] }, { "id": "task1678-6751bb8c05334bc7b99e1e7ccc7b2ede", "input": "Problem: a man is 12 years older than his brother. in two years, his age will be twice the age of his brother. the present age of his brother is :\nOptions: a. 10, b. 21, c. 22, d. 23, e. 24", "output": [ "a" ] }, { "id": "task1678-7a8d77e152e846969b6d41c0733f9852", "input": "Problem: a certain mixture of nuts consists of 5 parts almonds to 2 parts walnuts, by weight. what is the number of pounds of almonds in 280 pounds of the mixture ?\nOptions: a. 200, b. 84, c. 40, d. 28, e. 20", "output": [ "a" ] }, { "id": "task1678-be3f8c1e549e405e871a7345a8557aaa", "input": "Problem: how many 4 - digit numbers that do not contain the digits 2, 3, 4, 5, 6, or 7 are there ?\nOptions: a. 168, b. 176, c. 184, d. 192, e. 200", "output": [ "d" ] }, { "id": "task1678-31bcf7d5f6c8439e913d7d3cf80bcbae", "input": "Problem: how many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm ?\nOptions: a. 5600, b. 6000, c. 6400, d. 7200, e. none", "output": [ "c" ] }, { "id": "task1678-405228c921dd4d89a56616aa38e2393e", "input": "Problem: the average weight of 6 person ' s increases by 1.8 kg when a new person comes in place of one of them weighing 69 kg. what might be the weight of the new person ?\nOptions: a. 73 kg, b. 79.8 kg, c. 86 kg, d. data inadequate, e. none of these", "output": [ "b" ] }, { "id": "task1678-bd4f9990963a462b95468da921772e59", "input": "Problem: a man took a loan at rate of 12 % per annum simple interest. after 3 years he had to pay 7200 interest. the principal amount borrowed by him was.\nOptions: a. rs 14000, b. rs 15000, c. rs 16000, d. rs 20000, e. none of these", "output": [ "d" ] }, { "id": "task1678-1db9e240fad8445181ec82d7e98da20b", "input": "Problem: a certain company retirement plan has arule of 70 provision that allows an employee to retire when the employee ' s age plus years of employment with the company total at least 70. in what year could a female employee hired in 1986 on her 30 nd birthday first be eligible to retire under this provision ?\nOptions: a. 2003, b. 2004, c. 2005, d. 2006, e. 2007", "output": [ "d" ] }, { "id": "task1678-84f45f7de3bd42c7af73bbfec99a3cab", "input": "Problem: i had rs. 10000 with me. out of this, money i lent some money to a for 2 years at 15 % simple interest. i lent the remaining money to b for an equal number of years at 18 % simple interest. after 2 years, i found that a had given me rs. 360 more as interest as compared to ( b. the amount of money which i had lent to b must have been\nOptions: a. 2000, b. 3000, c. 4000, d. 5000, e. 6000", "output": [ "c" ] }, { "id": "task1678-0ccd329e977a455c8c02024b2cca34f5", "input": "Problem: what percent is 320 gm of 1 kg ?\nOptions: a. 25 %, b. 40 %, c. 10 %, d. 8 %, e. 32 %", "output": [ "e" ] }, { "id": "task1678-9959fd2405a44d6aa17b7965c4e19414", "input": "Problem: to be considered for “ movie of the year, ” a film must appear in at least 1 / 4 of the top - 10 - movies lists submitted by the cinematic academy ’ s 785 members. what is the smallest number of top - 10 lists a film can appear on and still be considered for “ movie of the year ” ?\nOptions: a. 191, b. 197, c. 193, d. 212, e. 213", "output": [ "b" ] }, { "id": "task1678-55ddd343e5e840ffb637d62223b3c3ca", "input": "Problem: the number 0.5 is how much greater than 1 / 3 ?\nOptions: a. 1 / 6, b. 2 / 10, c. 1 / 50, d. 1 / 500, e. 2 / 500", "output": [ "a" ] }, { "id": "task1678-195a7df9a36449a9a92e38a07734979e", "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": "task1678-2c3f71af670442c0981de3bf8fa55130", "input": "Problem: there are 2 sections a and b in a class, consisting of 50 and 70 students respectively. if the average weight of section a is 50 kg and that of section b is 70 kg, find the average of the whole class ?\nOptions: a. 50.78 kg, b. 49.32 kg, c. 61.67 kg, d. 69.15 kg, e. 70.89 kg", "output": [ "c" ] }, { "id": "task1678-5f1d6d873c3e43198fde51fa2a7397f4", "input": "Problem: a number is increased by 20 % and then decreased by 20 %. find the net increase or decrease per cent.\nOptions: a. 9 %, b. 8 %, c. 7 %, d. 3 %, e. 4 %", "output": [ "e" ] }, { "id": "task1678-8284e278f34144bcacfb3f951b1559c6", "input": "Problem: if x ^ 2 – 3 x = 18, then one possible value of x – 4 =\nOptions: a. - 9, b. - 5, c. - 3, d. - 1, e. 2", "output": [ "e" ] }, { "id": "task1678-b6065777ba684359bdf688e88397a7ee", "input": "Problem: if 4 x + y = 8 and 3 x - 4 y = 5, then what is the value of 7 x - 3 y ?\nOptions: a. 23, b. 3, c. 15, d. 52 / 7, e. 60 / 7", "output": [ "a" ] }, { "id": "task1678-c3733a8d500d4ffcb9d2aba293532192", "input": "Problem: find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 11 cm.\nOptions: a. 335 cm 2, b. 209 cm 2, c. 285 cm 2, d. 825 cm 2, e. 725 cm 2", "output": [ "b" ] }, { "id": "task1678-63e94b742a17475b8709afbadc6b584a", "input": "Problem: working alone, a can complete a certain kind of job in 3 hours. a and d, working together at their respective rates, can complete one of these jobs in 2 hours. in how many hours can d, working alone, complete one of these jobs ?\nOptions: a. 2, b. 4, c. 6, d. 8, e. 10", "output": [ "c" ] }, { "id": "task1678-8b63c7fcf9f54f16a36e129e93b3e441", "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": "task1678-6548ec6905a7441398aea23a3455cf2d", "input": "Problem: what number must be added to 6, 16 and 8 to get an average of 13 ?\nOptions: a. 23, b. 22, c. 44, d. 33, e. 55", "output": [ "b" ] }, { "id": "task1678-a1f5d9ba98614b66b8ce84aec68a9afb", "input": "Problem: the average age of 30 students in a class is 15 years. if the age of teacher is also included, the average becomes 16 years, find the age of the teacher.\nOptions: a. 46, b. 55, c. 43, d. 39, e. 54", "output": [ "a" ] }, { "id": "task1678-a136c10cb8944ef7aae88715c27ad183", "input": "Problem: if x = the product of 7 distinct prime numbers, how many factors does x have besides 1 and itself ?\nOptions: a. 108, b. 114, c. 120, d. 126, e. 132", "output": [ "d" ] }, { "id": "task1678-f6638b0b622b4f8d8b82014c02bd29f3", "input": "Problem: how many integers n are prime numbers in the range 200 < n < 220 ?\nOptions: a. 1, b. 2, c. 3, d. 4, e. 5", "output": [ "a" ] }, { "id": "task1678-1d97a3f375094bf4a255d05c948f3b8b", "input": "Problem: a sum of $ 800 amounts to $ 920 in 3 years at simple interest. if the interest rate is increased by 3 % it would amount to how much ?\nOptions: a. $ 506, b. $ 774, c. $ 992, d. $ 854, e. $ 1021", "output": [ "c" ] }, { "id": "task1678-025c1062ba5c41a6bb6362b4379b7a73", "input": "Problem: a copy machine, working at a constant rate, makes 35 copies per minute. a second copy machine, working at a constant rate, makes 65 copies per minute. working together at their respective rates, how many copies do the two machines make in half an hour ?\nOptions: a. 3,000, b. 2,700, c. 4,500, d. 5,400, e. 324,000", "output": [ "a" ] }, { "id": "task1678-44b971d4726e49e4a57ba98125f5879f", "input": "Problem: what will be the compound interest on a sum of rs. 28,000 after 3 years at the rate of 12 % p. a. ?\nOptions: a. s. 10123.77, b. s. 10123.21, c. s. 10123.20, d. s. 10123.28, e. s. 11337.98", "output": [ "e" ] }, { "id": "task1678-26d873cd26844accbc8be5afe143a3d0", "input": "Problem: what is the greatest positive integer x such that 3 ^ x is a factor of 9 ^ 5 ?\nOptions: a. 5, b. 9, c. 10, d. 20, e. 30", "output": [ "c" ] }, { "id": "task1678-edd49901192b40a489e0f496d7d92fcb", "input": "Problem: 10 % people of a village in sri lanka died by bombardment, 20 % of the remainder left the village on account of fear. if now the population is reduced to 4554, how much was it in the beginning ?\nOptions: a. 7349, b. 6300, c. 6325, d. 6939, e. 2989", "output": [ "c" ] }, { "id": "task1678-6b106c7346a94e2a83d50429ee30ae92", "input": "Problem: cost is expressed by the formula tb ^ 4. if b is doubled, the new cost w is what percent of the original cost ?\nOptions: a. w = 200, b. w = 600, c. w = 800, d. w = 1600, e. w = 50", "output": [ "d" ] }, { "id": "task1678-04370d51c0aa4a9f9a4dd5f69e32c925", "input": "Problem: if a car went the first third of the distance at 80 kmh, the second third at 30 kmh, and the last third at 48 kmh, what was the average speed of the car for the entire trip ?\nOptions: a. 36 kmh, b. 40 kmh, c. 42 kmh, d. 45 kmh, e. 50 kmh", "output": [ "d" ] }, { "id": "task1678-a8cc68524e114699a0b19c59c0a75f87", "input": "Problem: a cement mixture is composed of 3 elements. by weight, 1 / 2 of the mixture is sand, 1 / 5 of the mixture is water, and the remaining 15 pounds of the mixture is gravel. what is the weight of the entire mixture in pounds ?\nOptions: a. 30, b. 40, c. 50, d. 60, e. 80", "output": [ "c" ] }, { "id": "task1678-a516708c663b45398531a126ff9f3a14", "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": "task1678-683cf04117ea47bd97ac88bd9db738b1", "input": "Problem: the center of a circle lies on the origin of the coordinate plane. if a point ( x, y ) is randomly selected inside of the circle, what is the probability that y > x or x > 0 ?\nOptions: a. 7 / 8, b. 5 / 6, c. 3 / 8, d. 1 / 2, e. 3 / 4", "output": [ "a" ] }, { "id": "task1678-44da3bd94b1044f3839dce8b1e3fc511", "input": "Problem: reema took a loan of rs 900 with simple interest for as many years as the rate of interest. if she paid rs. 729 as interest at the end of the loan period, what was the rate of interest.\nOptions: a. 5 %, b. 6 %, c. 7 %, d. 8 %, e. 9 %", "output": [ "e" ] }, { "id": "task1678-acf3809dddbc498cb90c208864f235bd", "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": "task1678-390cd7f1a9c941aeacfa497997080460", "input": "Problem: the average of first 9 natural numbers is ?\nOptions: a. 1.5, b. 2.5, c. 3.5, d. 4.5, e. 5.5", "output": [ "d" ] }, { "id": "task1678-97db7d4662e44ced9f6e48ecef0d349c", "input": "Problem: buses a and b start from a common bus stop x. bus a begins to travel in a straight line away from bus b at a constant rate of 20 miles per hour. one hour later, bus b begins to travel in a straight line in the exact opposite direction at a constant rate of 80 miles per hour. if both buses travel indefinitely, what is the positive difference, in minutes, between the amount of time it takes bus b to cover the exact distance that bus a has covered and the amount of time it takes bus b to cover twice the distance that bus a has covered ?\nOptions: a. 36, b. 72, c. 132, d. 144, e. 180", "output": [ "c" ] }, { "id": "task1678-d01157d99d3043dda5f4d933c4f1eff7", "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": "task1678-17eeeeeb1cfa459aaa9a79568a178d6f", "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": "task1678-2680e0b4676b4dc9af73901805f5ff39", "input": "Problem: if an investor puts $ 800 in a savings account that earns 10 percent annual interest compounded semiannually, how much money will be in the account after one year ?\nOptions: a. $ 878, b. $ 880, c. $ 882, d. $ 884, e. $ 886", "output": [ "c" ] }, { "id": "task1678-2bc03d0e2a2a492d9ea0ce570494bf15", "input": "Problem: in an election between two candidates, one got 55 % of the total valid votes. 20 % of the votes were invalid. if the total number of votes was 7500, what was the number of valid votes that the other candidate got ?\nOptions: a. 2800, b. 2700, c. 2100, d. 2500, e. 3000", "output": [ "b" ] }, { "id": "task1678-e82d074a1a904d89bc918abe8a67f118", "input": "Problem: the average of first five multiples of 6 is ?\nOptions: a. 6, b. 18, c. 9, d. 5, e. 7", "output": [ "b" ] }, { "id": "task1678-6699cc11414c46feb40856dbc2e38217", "input": "Problem: indu gave bindu rs. 625 on compound interest for 2 years at 4 % per annum. how much loss would indu has suffered had she given it to bindu for 2 years at 4 % per annum simple interest ?\nOptions: a. 1, b. 2, c. 7, d. 4, e. 9", "output": [ "a" ] }, { "id": "task1678-174e177cbad64632ad41d89bba666c69", "input": "Problem: a bag contains 3 red, 5 yellow and 4 green balls. 3 balls are drawn randomly. what is the probability that the balls drawn contain balls of different colours ?\nOptions: a. 2 / 7, b. 3 / 5, c. 3 / 11, d. 1 / 4, e. 7 / 16", "output": [ "c" ] }, { "id": "task1678-a3af38825cc04e38a3e70474281dbd6f", "input": "Problem: the market value of a certain machine decreased by 10 percent of its purchase price each year. if the machine was purchased in 1982 for its market value of $ 8000, what was its market value two years later ?\nOptions: a. $ 8,000, b. $ 5,600, c. $ 3,200, d. $ 6,400, e. $ 800", "output": [ "d" ] }, { "id": "task1678-96c1f4c11d504b0f947d6a54b8d65ef8", "input": "Problem: two numbers are less than third number by 60 % and 74 % respectively. how much percent is the second number less than by the first ?\nOptions: a. 18 %, b. 29 %, c. 35 %, d. 41 %, e. none of these", "output": [ "c" ] }, { "id": "task1678-fb71ea5f2a204fdaab1b4ba6ecc5cf39", "input": "Problem: a 1400 m long train crosses a tree in 100 sec, how much time will it take to pass a platform 700 m long ?\nOptions: a. 288, b. 190, c. 150, d. 188, e. 12", "output": [ "c" ] }, { "id": "task1678-d6e3bb939d724323beb401bb0b20af50", "input": "Problem: the product of two positive integers is 675 and their difference is 2. what is the bigger number ?\nOptions: a. 21, b. 23, c. 25, d. 27, e. 29", "output": [ "d" ] }, { "id": "task1678-64411058d6a24cca8c3d6b71a96191dd", "input": "Problem: during the last 4 years, a large truck company purchased diesel at rates of $ 1.2, $ 1.3, $ 1.8 and $ 2.1 per gallon. what was the mean cost of diesel over the 4 - year period if the company spends the same amount of dollars on diesel each year ?\nOptions: a. $ 2.5, b. $ 2.55, c. $ 1.52, d. $ 3.25, e. $ 3.0", "output": [ "c" ] }, { "id": "task1678-8b1dd3a8577a482d9ad2fa69306d56f7", "input": "Problem: after spending rs. 5000 on rent, rs. 1500 on milk, rs. 4500 on groceries, rs. 2500 on childrens education rs. 2000 on petrol and rs. 5200 on miscellaneous expenses, mr. kishore saved 10 % of his monthly salary. how much did he save in rs. ?\nOptions: a. 2160, b. 2350, c. 2000, d. 2300, e. none of these", "output": [ "d" ] }, { "id": "task1678-9e7b9f277fe747d2b0eb9c4038e2966f", "input": "Problem: shekar scored 76, 65, 82, 47 and 85 marks in mathematics, science, social studies, english and biology respectively. what are his average marks ?\nOptions: a. 71, b. 69, c. 75, d. 85, e. 90", "output": [ "a" ] }, { "id": "task1678-8e7e948480b24302aede4828de88b932", "input": "Problem: at an elementary school, 70 % of the faculty members are women and 60 % of the faculty members are married. if 2 ⁄ 3 of the men are single, what fraction of the women are married ?\nOptions: a. 5 ⁄ 7, b. 7 ⁄ 10, c. 1 ⁄ 3, d. 7 ⁄ 30, e. 5 ⁄ 70", "output": [ "a" ] }, { "id": "task1678-23a2ca1789614c259cf0e2c344e55c06", "input": "Problem: how many multiples of 4 are there between 12 and 104, inclusive ?\nOptions: a. 21, b. 22, c. 23, d. 24, e. 25", "output": [ "d" ] }, { "id": "task1678-598083b0bccb4dd19b3382d08df4347b", "input": "Problem: a high school has 400 students 1 / 2 attend the airthmetic club, 5 / 8 attend the physics club and 3 / 4 attend the chemistry club. 3 / 8 attend all 3 clubs. if every student attends at least one club how many students attend exactly 2 clubs.\nOptions: a. 80, b. 70, c. 60, d. 50, e. 30", "output": [ "d" ] }, { "id": "task1678-327bf020162f4c30826d2a1c7684160d", "input": "Problem: how many kg of rice at rs. 6.60 per kg. be mixed with 56 kg of rice at rs. 9.60 per kg to get a mixture worth rs. 8.20 per kg\nOptions: a. 56 kg, b. 52 kg, c. 44 kg, d. 49 kg, e. none of these", "output": [ "d" ] }, { "id": "task1678-ccbc54d02b8f4d99816eed04d4eb46b3", "input": "Problem: a box measuring 36 inches long by 45 inches wide by 18 inches deep is to be filled entirely with identical cubes. no space is to be left unfilled. what is the smallest number of cubes that can accomplish this objective ?\nOptions: a. 32, b. 34, c. 38, d. 40, e. 42", "output": [ "d" ] }, { "id": "task1678-da2f4fc98e2a4659a11d430c111c7627", "input": "Problem: the dimensions of a rectangular solid are 4 inches, 5 inches, and 12 inches. if a cube, a side of which is equal to one of the dimensions of the rectangular solid, is placed entirely within thespherejust large enough to hold the cube, what the ratio of the volume of the cube to the volume within thespherethat is not occupied by the cube ?\nOptions: a. 10: 17, b. 2: 5, c. 5: 16, d. 25: 7, e. 10: 21", "output": [ "e" ] }, { "id": "task1678-7636c1bfe3314d27863feecac9fe5d82", "input": "Problem: tanks a and b are each in the shape of a right circular cylinder. the interior of tank a has a height of 10 meters and a circumference of 8 meters, and the interior of tank b has a height of 8 meters and a circumference of 10 meters. the capacity of tank a is what percent of the capacity of tank b ?\nOptions: a. 90 %, b. 50 %, c. 60 %, d. 70 %, e. 80 %", "output": [ "e" ] }, { "id": "task1678-c86eb126db574c7fb6bcef10cb9e9b16", "input": "Problem: a person ' s present age is two - fifth of the age of his mother. after 8 years, he will be one - half of the age of his mother. how old is the mother at present\nOptions: a. 38, b. 40, c. 42, d. 44, e. 45", "output": [ "b" ] }, { "id": "task1678-38a12c676dbf48e98c3ab4f3d95caf27", "input": "Problem: in town x, 64 percent of the population are employed, and 47 percent of the population are employed males. what percent of the employed people in town x are females ?\nOptions: a. 16 %, b. 46 %, c. 32 %, d. 24 %, e. 52 %", "output": [ "d" ] }, { "id": "task1678-a892c6f2148740faa8f4b444703e1b44", "input": "Problem: when positive integer n is divided by positive integer j, the remainder is 18. if n / j = 134.03, what is value of j ?\nOptions: a. 22, b. 56, c. 78, d. 112, e. 600", "output": [ "e" ] }, { "id": "task1678-8c085c362e9849b98589f16ba07f71e0", "input": "Problem: the present population of a town is 3744. population increase rate is 20 % p. a. find the population of town before 2 years ?\nOptions: a. 2500, b. 2600, c. 3500, d. 3600, e. 2050", "output": [ "b" ] }, { "id": "task1678-82fe04a9afb4443584423c1f378a8afa", "input": "Problem: at joes steakhouse the hourly wage for a chef is 20 % greater than that of a dishwasher, and the hourly wage of a dishwasher is half as much as the hourly wage of a manager. if a managers wage is $ 6.50 per hour, how much less than a manager does a chef earn each hour ?\nOptions: a. $ 2.6, b. $ 2.40, c. $ 3.40, d. $ 4.40, e. $ 5.40", "output": [ "a" ] }, { "id": "task1678-69f302e97f10451d8950245c9459ae15", "input": "Problem: the cost of paint is 60 per kilograme. a kilogram paint covers 20 square feet. how much will it cost to paint the outside of a cube having each side 10 feet ?\nOptions: ['a. 3000', 'b. 900', 'c. 1800', 'd. 360', 'e. none of these']", "output": [ "c" ] }, { "id": "task1678-862499983d724238afe8c371b6d0d811", "input": "Problem: a man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 0.5 kmph, find his average speed for the total journey ?\nOptions: a. 4, b. 3.5, c. 3, d. 3.1, e. 2.8", "output": [ "d" ] }, { "id": "task1678-052198ed75e14d23add6a1a20fa0b1c9", "input": "Problem: the original price of a suit is $ 160. the price increased 25 %, and after this increase, the store published a 25 % off coupon for a one - day sale. given that the consumers who used the coupon on sale day were getting 25 % off the increased price, how much did these consumers pay for the suit ?\nOptions: a. $ 140, b. $ 145, c. $ 150, d. $ 155, e. $ 160", "output": [ "c" ] }, { "id": "task1678-88ce4984a7cf41c0ba0b942a8874f3c4", "input": "Problem: the least perfect square, which is divisible by each of 21, 36 and 66 is\nOptions: a. 213414, b. 213424, c. 213434, d. 213444, e. none of these", "output": [ "d" ] }, { "id": "task1678-0d139f4b79c443dfb7d5076b5e09e76d", "input": "Problem: a merchant sells an item at a 20 % discount, but still makes a gross profit of 40 percent of the cost. what percent of the cost would the gross profit on the item have been if it had been sold without the discount ?\nOptions: a. 20 %, b. 40 %, c. 50 %, d. 60 %, e. 75 %", "output": [ "e" ] }, { "id": "task1678-3f0d85547f024a07b686988aa39cb19c", "input": "Problem: in a throw of dice what is the probability of getting number greater than 5\nOptions: a. 1 / 7, b. 1 / 6, c. 1 / 11, d. 1 / 13, e. 2 / 9", "output": [ "b" ] }, { "id": "task1678-eb8d3edf8c7f447bbdb8e5d7815a3b9a", "input": "Problem: in a village there are 150 men and 90 women in present time. if in next year population will be p = ( a ^ 2 + b ^ 2 ) ^ 1 / 2, and in every year men are reduces 4 %. what is population of after 2 year.\nOptions: a. 140, b. 141, c. 142, d. 143, e. 147", "output": [ "e" ] }, { "id": "task1678-52fd8a76af5f4e60aa8627354c46b18b", "input": "Problem: if | x + 132 | = 32 what is the sum of all the values of x.\nOptions: a. - 264, b. 200, c. - 64, d. 0, e. - 328", "output": [ "a" ] }, { "id": "task1678-4dbe35324dd4403c95e29af27fb95e13", "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": "task1678-97a509678b494fc8ab09ee38c8d752d0", "input": "Problem: a store sells chairs and tables. if the price of 2 chairs and 1 table is 60 % of the price of 1 chair and 2 tables, and the price of 1 table and 1 chair is $ 64, what is the price, in dollars, of 1 table ? ( assume that every chair has the same price and every table has the same price. )\nOptions: a. 48, b. 52, c. 54, d. 58, e. 56", "output": [ "e" ] }, { "id": "task1678-8dc1d70465114b36b3d4420204740bf8", "input": "Problem: if the radius of a circle that centers at the origin is 5, how many points q on the circle have integer coordinates ?\nOptions: a. 4, b. 8, c. 12, d. 15, e. 20", "output": [ "c" ] }, { "id": "task1678-82d1b4ca420641f78ab719bba0189b37", "input": "Problem: the ratio of the radius of two circles is 1: 5, and then the ratio of their areas is ?\nOptions: a. 1: 7, b. 2: 9, c. 1: 25, d. 3: 7, e. 3: 4", "output": [ "c" ] }, { "id": "task1678-c13196006f5d422c9577fbd8fc3f3341", "input": "Problem: the average of 11 numbers is 60. out of 11 numbers the average of first 6 no. is 98, and last 6 numbers is 65 then find 6 th number ?\nOptions: a. a. 318, b. b. 65, c. c. 58, d. d. 62, e. e. 48", "output": [ "a" ] }, { "id": "task1678-07d4271a1f1141bf905dd4e7788dcba4", "input": "Problem: a man bought 40 shares of rs. 60 at 8 discount, the rate of dividend being 1212 % the rate of interest obtained is\nOptions: a. 13.64 %, b. 15.5 %, c. 14 %, d. 14.42 %, e. 14.95 %", "output": [ "d" ] }, { "id": "task1678-47e840a96d2e4898809e74f67bd948e5", "input": "Problem: the area of a triangle is 615 m 2. if one of its sides is 123 metre, find the length of the perpendicular dropped on that side from opposite vertex.\nOptions: ['a. 15 metres', 'b. 12 metres', 'c. 10 metres', 'd. 9 metres', 'e. none of these']", "output": [ "c" ] }, { "id": "task1678-1ccf2f66db92451b85fff269ed9a46e9", "input": "Problem: in an election between the two candidates, the candidates who gets 60 % of votes polled is wined by 280 votes majority. what is the total number of votes polled ?\nOptions: a. 1400, b. 1500, c. 1600, d. 1700, e. 1800", "output": [ "a" ] }, { "id": "task1678-edd5c367cb8e4b7790c2d3aadf8f7f13", "input": "Problem: solve the equation for x: 6 x - 47 + 3 x = 4 + 9 - x\nOptions: a. 4, b. 5, c. 7, d. 9, e. 6", "output": [ "e" ] }, { "id": "task1678-bb2ca1ebdcb24faf9bbd73fa583793f8", "input": "Problem: what is the remainder if 7 ^ 12 is divided by 100 ?\nOptions: a. 1, b. 2, c. 3, d. 4, e. 5", "output": [ "a" ] }, { "id": "task1678-3f25a4e11be94acb90066c4bccad7136", "input": "Problem: calculate the average of all the numbers between 10 and 86 which are divisible by 9.\nOptions: a. 49.5, b. 41.5, c. 45.5, d. 40.5, e. 47.5", "output": [ "a" ] }, { "id": "task1678-6ddcec90d6be451983fba16bbc3b5b61", "input": "Problem: what is the length of a bridge ( in meters ), which a train 156 meters long and travelling at 45 km / h can cross in 30 seconds ?\nOptions: a. 203, b. 211, c. 219, d. 227, e. 235", "output": [ "c" ] }, { "id": "task1678-00dd49db06724a88a010af81533495fb", "input": "Problem: zachary is helping his younger brother, sterling, learn his multiplication tables. for every question that sterling answers correctly, zachary gives him 3 pieces of candy. for every question that sterling answers incorrectly, zachary takes away two pieces of candy. after 6 questions, if sterling had answered 2 more questions correctly, he would have earned 31 pieces of candy. how many of the 6 questions did zachary answer correctly ?\nOptions: a. 6, b. 7, c. 8, d. 9, e. 10", "output": [ "b" ] }, { "id": "task1678-030f7609ee994748bba974fdc82b6cc5", "input": "Problem: the average of first 17 even numbers is ?\nOptions: a. 10, b. 11, c. 18, d. 20, e. 24", "output": [ "c" ] }, { "id": "task1678-74b2c8a3f86545d0968ee074779f4e5f", "input": "Problem: the average of all odd numbers up to 200 is\nOptions: a. 50, b. 100, c. 120, d. 75, e. 80", "output": [ "b" ] }, { "id": "task1678-6fd34996bde14904ac3649d861ee5b39", "input": "Problem: a and b are two multiples of 14, and q is the set of consecutive integers between a and b, inclusive. if q contains 11 multiples of 14, how many multiples of 7 are there in q ?\nOptions: a. 19, b. 20, c. 21, d. 22, e. 23", "output": [ "c" ] }, { "id": "task1678-e781b8a6e53f42e19cdd4802b7f53ae6", "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": "task1678-16c0a0e088d04798879d03594c226f17", "input": "Problem: a man gains 40 % by selling an article for a certain price. if he sells it at double the price, the percentage of profit will be.\nOptions: a. 130 %, b. 180 %, c. 150 %, d. 160 %, e. 170 %", "output": [ "b" ] }, { "id": "task1678-d2aa72b1e3244ef49b3d0f5a314dd241", "input": "Problem: if x * y = xy – 2 ( x + y ) for all integers x and y, then 1 * ( – 3 ) =\nOptions: a. – 16, b. – 11, c. – 4, d. 4, e. 1", "output": [ "e" ] }, { "id": "task1678-a18bfc5a93e647feab20a265c4b3b2eb", "input": "Problem: on increasing the price of t. v. sets by 40 %, their sale decreases by 20 %. what is the effect on the revenue receipts of the shop ?\nOptions: a. 4, b. 5, c. 56, d. 12, e. 7", "output": [ "d" ] }, { "id": "task1678-de18a60979d542a887ba27ba52e09354", "input": "Problem: 0.002 x 0.5 = ?\nOptions: a. 0.0001, b. 0.001, c. 0.01, d. 0.1, e. none of these", "output": [ "b" ] }, { "id": "task1678-1cffa03574194676bb445879fa661a19", "input": "Problem: a 10 % stock yields 8 %. the market value of the stock is :\nOptions: a. rs. 72, b. rs. 125, c. rs. 112.50, d. rs. 116.50, e. none of these", "output": [ "b" ] }, { "id": "task1678-1c933991883a41558b1514d2bb4c2090", "input": "Problem: a certain sum is invested at simple interest at 18 % p. a. for two years instead of investing at 12 % p. a. for the same time period. therefore the interest received is more by rs. 300. find the sum ?\nOptions: a. 7000, b. 2500, c. 2778, d. 2800, e. 2791", "output": [ "b" ] }, { "id": "task1678-2822a314cbc14c72b77e85e832898b73", "input": "Problem: at a monthly meeting, 3 / 5 of the attendees were males and 7 / 8 of the male attendees arrived on time. if 4 / 5 of the female attendees arrived on time, what fraction of the attendees at the monthly meeting did not arrive on time ?\nOptions: a. 47 / 200, b. 31 / 200, c. 17 / 100, d. 11 / 100, e. 7 / 50", "output": [ "b" ] }, { "id": "task1678-cd8b725b9a6b4258b3be9f3aa5df8bdb", "input": "Problem: how many quarters are equal to 4 dollars ?\nOptions: a. 16, b. 8, c. 12, d. 9, e. 7", "output": [ "a" ] }, { "id": "task1678-6607e1e0ad4740fe877f2e63418f3568", "input": "Problem: 1391 x 1391 = ?\nOptions: a. a. 1951609, b. b. 1951601, c. c. 1951602, d. d. 1951603, e. e. 1934881", "output": [ "e" ] }, { "id": "task1678-283f9247f3a44f4c9a042aa512073d4e", "input": "Problem: danny and steve are running towards each other, each one from his own house. danny can reach steve ' s house in 33 minutes of running, which is half the time it takes steve to reach danny ' s house. if the two started to run at the same time, how much time longer will it take steve to reach the halfway point between their houses than danny to reach the halfway point between their houses ?\nOptions: a. 16.5 minutes, b. 33 minutes, c. 49.5 minutes, d. 66 minutes, e. 99 minutes", "output": [ "a" ] }, { "id": "task1678-fa2bd45e1a7c4ef4b66a9b7b146f72b4", "input": "Problem: the compound interest on $ 30,000 at 7 % p. a is $. 4347. find out the period ( in years ) ?\nOptions: a. 1, b. 1.5, c. 2, d. 2.5, e. 3", "output": [ "c" ] }, { "id": "task1678-97388733142848829e35e9333b5b645f", "input": "Problem: a fair 2 sided coin is flipped 4 times. what is the probability that tails will be the result at least twice, but not more than 4 times ?\nOptions: a. 1 / 8, b. 2 / 3, c. 5 / 8, d. 4 / 7, e. 3 / 7", "output": [ "c" ] }, { "id": "task1678-b3b79e39e8b445e89b4578db74d7387c", "input": "Problem: i have only 1 $ and 2 $ note. i want to give 95 $ to john. how many maximum number of 1 $ note i need ?\nOptions: a. 53, b. 35, c. 47, d. 95, e. 62", "output": [ "d" ] }, { "id": "task1678-112454d6bac8490cbb78512b2aeb4447", "input": "Problem: how many multiples of 6 are less than 5000, and also multiples of 8 ?\nOptions: a. 104, b. 208, c. 625, d. 832, e. 833", "output": [ "b" ] }, { "id": "task1678-b82b189518234a2f9920628a0a76b9f0", "input": "Problem: audrey 4 hours to complete a certain job. ferris can do the same job in 3 hours. audrey and ferris decided to collaborate on the job, working at their respective rates. while audrey worked continuously, ferris took 5 breaks of equal length. if the two completed the job together in 2 hours, how many minutes long was each of ferris ’ breaks ?\nOptions: a. 5, b. 6, c. 15, d. 20, e. 25", "output": [ "b" ] }, { "id": "task1678-5c44608b2a7a4345a60b1efb94d85420", "input": "Problem: find the sum of divisors of 544 which are perfect squares.\nOptions: a. 32, b. 64, c. 42, d. 21, e. none of these", "output": [ "d" ] }, { "id": "task1678-e2bd4139b9c948c4bc51332217eb55ea", "input": "Problem: a glass was filled with 10 ounces of water, and 0.03 ounce of the water evaporated each day during a 20 - day period. what percent of the original amount of water evaporated during this period ?\nOptions: a. 0.006 %, b. 0.06 %, c. 0.6 %, d. 6 %, e. 60 %", "output": [ "d" ] }, { "id": "task1678-079ee27dff654f918ecf067ac7366f81", "input": "Problem: a cistern is normally filled in 6 hours but takes two hours longer to fill because of a leak in its bottom. if the cistern is full, the leak will empty it in ?\nOptions: a. 33, b. 88, c. 24, d. 99, e. 11", "output": [ "c" ] }, { "id": "task1678-27e2dbff96c444aa9e7d867719504689", "input": "Problem: a mobile battery in 1 hour charges to 20 percent. how much time ( in minute. will it require more to charge to 50 percent.\nOptions: a. 145, b. 150, c. 175, d. 160, e. 130", "output": [ "b" ] }, { "id": "task1678-ba7d15757d934a8aae85eaf84bbf1c1b", "input": "Problem: the diagonals of a rhombus are 10 cm and 12 cm. find its area ?\nOptions: a. 158, b. 60, c. 150, d. 123, e. 117", "output": [ "b" ] }, { "id": "task1678-879fd6b6905d4ad6a75c39dd8e289c9c", "input": "Problem: a hollow iron pipe is 21 cm long and its external diameter is 8 cm. if the thickness of the pipe is 1 cm and iron weighs 8 g / cm 3, then the weight of the pipe is :\nOptions: a. 3.6 kg, b. 3.696 kg, c. 36 kg, d. 36.9 kg, e. none", "output": [ "b" ] }, { "id": "task1678-fbbdfb1d319b44b3b719cfaf7acfc368", "input": "Problem: in the forestside summer camp there are 50 children. 90 % of the children are boys and the rest are girls. the camp administrator decided to make the number of girls only 5 % of the total number of children in the camp. how many more boys must she bring to make that happen ?\nOptions: a. 50., b. 45., c. 40., d. 30., e. 25.", "output": [ "a" ] }, { "id": "task1678-05d3532c717f40d9bbe9d7e543fad452", "input": "Problem: on dividing 109 by a number, the quotient is 9 and the remainder is 1. find the divisor ?\nOptions: a. 10, b. 12, c. 14, d. 16, e. 18", "output": [ "b" ] }, { "id": "task1678-0b49df3d4cee4e12a9158050f57a9d9f", "input": "Problem: kathleen can paint a room in 4 hours, and anthony can paint an identical room in 5 hours. how many hours would it take kathleen and anthony to paint both rooms if they work together at their respective rates ?\nOptions: a. 8 / 15, b. 40 / 9, c. 15 / 8, d. 9 / 4, e. 15 / 4", "output": [ "b" ] }, { "id": "task1678-b29d4a4ac57b40b09fe2b6361d6995a3", "input": "Problem: if 0.75: x: : 10: 8, then x is equal to :\nOptions: a. a. 0.6, b. b. 0.8, c. c. 0.85, d. d. 0.5, e. e. none", "output": [ "a" ] }, { "id": "task1678-a2c9652d934d470394d9f6dc4bbe2bfd", "input": "Problem: there are 2 sections a and b in a class, consisting of 36 and 44 students respectively. if the average weight of section a is 40 kg and that of section b is 35 kg, find the average of the whole class ?\nOptions: a. 35.29 kg, b. 37.25 kg, c. 42.45 kg, d. 55.12 kg, e. 29.78 kg", "output": [ "b" ] }, { "id": "task1678-8de21f0dda5e40b0b2481b8d79f3374e", "input": "Problem: a box contains 100 pairs of shoes ( 200 shoes in total ). if two shoes are selected at random, what it is the probability that they are matching shoes ?\nOptions: a. 1 / 190, b. 1 / 20, c. 1 / 199, d. 1 / 10, e. 1 / 9", "output": [ "c" ] }, { "id": "task1678-37c36260ad204ea091721c88028b1ce4", "input": "Problem: the nasdaq index has decreased by 70 % since year 2000. how much should the index increase in order to gain the same value as in year 2000 ?\nOptions: a. 400 %, b. 80 %, c. 233 %, d. 60 %, e. none of the above", "output": [ "c" ] }, { "id": "task1678-3b23efcc2a8147ffa01ab02e4a4f0062", "input": "Problem: the sum of three consecutive numbers is 102. the greatest among these three number is :\nOptions: a. 26, b. 35, c. 29, d. 30, e. 31", "output": [ "b" ] }, { "id": "task1678-f430297f60d44afda8226f49e1833bb0", "input": "Problem: a dishonest dealer claims to sell a product at its cost price. he uses a counterfeit weight which is 20 % less than the real weight. further greed overtook him and he added 40 % impurities to the product. find the net profit percentage of the dealer ?\nOptions: a. 94 %, b. 87.5 %, c. 55 %, d. 56.25 %, e. 36 %", "output": [ "b" ] }, { "id": "task1678-d7e6312c985641ff81581120127ca28f", "input": "Problem: if the simple interest on a sum of money for 2 years at 5 % per annum is rs. 52, what is the compound interest on the same sum at the rate and for the same time ?\nOptions: a. s. 53.30, b. s. 53.22, c. s. 51.219, d. s. 53.18, e. s. 51.10", "output": [ "a" ] }, { "id": "task1678-790394da506a4971a5870d04ed08336b", "input": "Problem: 29 persons can repair a road in 16 days, working 5 hours a day. in how many days will 30 persons, working 6 hours a day, complete the work ?\nOptions: a. 12.88, b. 3.88, c. 13.88, d. 15, e. 18.8", "output": [ "a" ] }, { "id": "task1678-f201c829aa554ea2b3ade1ec84e85326", "input": "Problem: the income tax in country x is 8 % of any income up to $ 5000. for incomes over $ 5000, an 8 % tax is imposed on the first $ 5000, and a 10 % tax is imposed on the portion of the total income in excess of $ 5000. if perry paid $ 950 in income tax last month, then what was perry ' s income ?\nOptions: a. $ 10500, b. $ 11000, c. $ 13000, d. $ 13500, e. $ 14,000", "output": [ "a" ] }, { "id": "task1678-d144b0263f404cc9a80685e50c0b9c84", "input": "Problem: a shopkeeper sold an book offering a discount of 5 % and earned a profit of 23.5 %. what would have been the percentage of profit earned if no discount was offered ?\nOptions: a. 140, b. 120, c. 130, d. 110, e. 150", "output": [ "c" ] }, { "id": "task1678-9386e098c44844269f0931396333ef6d", "input": "Problem: if n = 2 ^ 0.15 and n ^ b = 8, b must equal\nOptions: a. 3 / 80, b. 3 / 5, c. 20, d. 5 / 3, e. 80 / 3", "output": [ "c" ] }, { "id": "task1678-1c8104f25d16404a8b7ba3b3ab1101a1", "input": "Problem: last year sandy saved 10 % of her annual salary. this year, she made 10 % more money than last year, and she saved 6 % of her salary. the amount saved this year was what percent of the amount she saved last year ?\nOptions: a. 66 %, b. 80 %, c. 112 %, d. 136 %, e. 148 %", "output": [ "a" ] }, { "id": "task1678-2e6222fe6c304e318f8410bf45b167d4", "input": "Problem: the value of a scooter depreciates in such a way that its value of the end of each year is 3 / 4 of its value of the beginning of the same year. if the initial value of the scooter is rs. 40000, what is the value at the end of 2 years ?\nOptions: a. 3277, b. 2977, c. 22500, d. 6077, e. 17112", "output": [ "c" ] }, { "id": "task1678-f9b937c68328484d9b91953751e6f5ef", "input": "Problem: 5 years ago, paula was 3 times as old as karl. in 6 years, paula will be twice as old as karl. what is the sum of their ages now ?\nOptions: a. 42, b. 46, c. 50, d. 54, e. 58", "output": [ "d" ] }, { "id": "task1678-65c77ebde38940f9ba61d91f588e6255", "input": "Problem: one fourth of a solution that was 8 % sugar by weight was replaced by a second solution resulting in a solution that was 16 percent sugar by weight. the second solution was what percent sugar by weight ?\nOptions: a. 74 %, b. 52 %, c. 40 %, d. 18 %, e. 8.5 %", "output": [ "c" ] }, { "id": "task1678-853c2288a7be4cd08c7d85d3e341c5c5", "input": "Problem: a and b invests rs. 2000 and rs. 4000 respectively in a business. if a doubles his capital after 6 months. in what ratio should a and b divide that year ' s profit ?\nOptions: a. 3: 5, b. 3: 4, c. 9: 2, d. 9: 9, e. 3: 1", "output": [ "b" ] }, { "id": "task1678-8c900b7cb2b1439f89d67a60021c865e", "input": "Problem: two trains of equal lengths take 8 sec and 15 sec respectively to cross a telegraph post. if the length of each train be 120 m, in what time will they cross other travelling in opposite direction ?\nOptions: a. 22, b. 12, c. 77, d. 10, e. 21", "output": [ "d" ] }, { "id": "task1678-46b080045695415da9ca87f427ab6a0b", "input": "Problem: a certain list consists of 21 different numbers. if n is in the list and n is 5 times the average ( arithmetic mean ) of the other 20 numbers in the list, then n is what fraction of the sum of the 21 numbers in the list ?\nOptions: a. 1 / 20, b. 1 / 6, c. 1 / 5, d. 4 / 21, e. 5 / 21", "output": [ "c" ] }, { "id": "task1678-32aadc4dbfda43f498e95c634aa3e281", "input": "Problem: danny and steve are running towards each other, each one from his own house. danny can reach steve ' s house in 27 minutes of running, which is half the time it takes steve to reach danny ' s house. if the two started to run at the same time, how much time longer will it take steve to reach the halfway point between their houses than danny to reach the halfway point between their houses ?\nOptions: a. 13.5 minutes, b. 27 minutes, c. 35 minutes, d. 54 minutes, e. 81 minutes", "output": [ "a" ] }, { "id": "task1678-efe7c854a947484988496fcdb155b900", "input": "Problem: mr. loyd wants to fence his square shaped land of 120 sqft each side. if a pole is laid every 12 ft how many poles do he need ?\nOptions: a. 20, b. 30, c. 40, d. 50, e. 60", "output": [ "c" ] }, { "id": "task1678-734629c270d0488b8abe77ecdda78bb6", "input": "Problem: a number exceeds by 40 from its 3 / 8 part. then the number is ?\nOptions: a. a. 32, b. b. 24, c. c. 64, d. d. 40, e. e. 45", "output": [ "c" ] }, { "id": "task1678-76fba42ef5ed4184b0e8a6e9d96cf269", "input": "Problem: amar takes as much time in running 22 meters as a car takes in covering 58 meters. what will be the distance covered by amar during the time the car covers 2.6 km ?\nOptions: a. 700 m, b. 978 m, c. 970 m, d. 986 m, e. 640 m", "output": [ "d" ] }, { "id": "task1678-238a5a3311b041cf8da9123c5a9ecf00", "input": "Problem: a 340 - liter solution of kola is made from 88 % water, 5 % concentrated kola and the rest is made from sugar. if 3.2 liters of sugar, 10 liter of water and 6.8 liters of concentrated kola were added to the solution, what percent of the solution is made from sugar ?\nOptions: a. 6 %., b. 7.5 %., c. 9.2 %., d. 10.5 %., e. 11 %.", "output": [ "b" ] }, { "id": "task1678-b5fc6525f4184e57b9547b7ebb8b85c7", "input": "Problem: the average age of 28 students in a group is 12 years. when teacher â € ™ s age is included to it, the average increases by one. what is the teacher â € ™ s age in years ?\nOptions: a. 31, b. 36, c. 41, d. 51, e. none", "output": [ "c" ] }, { "id": "task1678-c5c3d6fcd7bc46edab4904c4bb6389bb", "input": "Problem: a rectangular tiled patio is composed of 60 square tiles. the rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles. after the change in layout, the patio will still have 60 tiles, and it will still be rectangular. how many rows are in the tile patio before the change in layout ?\nOptions: a. 5, b. 6, c. 10, d. 13, e. 8", "output": [ "e" ] }, { "id": "task1678-baa3e8b45e7c4a57bf303c71c624bcf0", "input": "Problem: when the perimeter of a regular polygon is divided by 5, the length of a side is 25. what is the name of the polygon ? what is the perimeter ?\nOptions: ['a. 125', 'b. 126', 'c. 127', 'd. 128', 'e. 129']", "output": [ "a" ] }, { "id": "task1678-4134340338bf4cee8b0bb9edaba6d561", "input": "Problem: a vessel of capacity 60 litres is fully filled with pure milk. nine litres of milk is removed from the vessel and replaced with water. nine litres of the solution thus formed is removed and replaced with water. find the quantity of pure milk in the final milk solution ?\nOptions: a. 23.89, b. 72.9, c. 38.3, d. 43.35, e. 79.3", "output": [ "d" ] }, { "id": "task1678-54eceeb77f99434fa1f1236681970d6d", "input": "Problem: an empty wooden vessel weighs 8 % of its total weight when filled with paint. if the weight of a partially filled vessel is one half that of a completely filled vessel, what fraction of the vessel is filled.\nOptions: a. 3 / 7, b. 5 / 9, c. 1 / 24, d. 4 / 9, e. 2 / 5", "output": [ "a" ] }, { "id": "task1678-02198b580f5c40c8a39546214897ad43", "input": "Problem: in a government institute 20 nos. staffs are employed. in a festival season their boss give festival allowance to all. he says his accountant to calculate for 30 days @ 100. also he says balance payment will give to driver and cleaning staff and to be adjust from petty cash. he had given rs. 65000 / - to the accountant. how much amount will taken from petty cash ?\nOptions: a. a. 1000, b. b. 3000, c. c. 3500, d. d. 2500, e. e. 2250", "output": [ "a" ] }, { "id": "task1678-331bdc0a22194f05b7cc555ac7957b42", "input": "Problem: if $ 5,000 is invested in an account that earns 4 % interest compounded semi - annually, then the interest earned after one year would be how much greater than if the $ 5,000 had been invested at 8 % simple yearly interest ?\nOptions: a. $ 4, b. $ 8, c. $ 12, d. $ 16, e. $ 432", "output": [ "a" ] }, { "id": "task1678-5e7298ae1ba645f395e3e471eb3ed2c5", "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": "task1678-f8fa508c6dc9475eaeef50c57eb59fdb", "input": "Problem: in a company of 10 employees, 5 employees earn $ 30,000, 3 employees earn $ 40,000, and the 2 highest - paid employees earn the same amount. if the average annual salary for the 10 employees is $ 65,000, what is the annual salary for each of the highest - paid employees ?\nOptions: a. $ 190,000, b. $ 170,000, c. $ 150,000, d. $ 130,000, e. $ 110,000", "output": [ "a" ] }, { "id": "task1678-67b80b1a71f7487cace8e0e7c820b7dc", "input": "Problem: a man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey ?\nOptions: a. 4, b. 5, c. 6, d. 7, e. 8", "output": [ "a" ] }, { "id": "task1678-8a68e5adaa6442c592ee89ac159937b8", "input": "Problem: if a sum of money doubles itself in 25 years at simple interest, the ratepercent per annum is\nOptions: a. 12, b. 12.5, c. 13, d. 13.5, e. 4", "output": [ "e" ] }, { "id": "task1678-6c9c21e17fad4c0bb5079300493044da", "input": "Problem: a company produces 50000 bottles of water everyday. if a case can hold 25 bottles of water. how many cases are required by the company to hold its one day production\nOptions: a. 2000, b. 4500, c. 5000, d. 8000, e. 9000", "output": [ "a" ] }, { "id": "task1678-457c3daabfab4c41beb59596d2919a69", "input": "Problem: a small pool filled only with water will require an additional 700 gallons of water in order to be filled to 80 % of its capacity. if pumping in these additional 700 gallons of water will increase the amount of water in the pool by 30 %, what is the total capacity of the pool in gallons ?\nOptions: a. 1000, b. 1250, c. 1300, d. 1600, e. 2125", "output": [ "e" ] }, { "id": "task1678-0936f2ae83d3467fba3aa8f12c7ec4f8", "input": "Problem: a group of students decided to collect as many paise from each member of group as is the number of members. if the total collection amounts to rs. 4356, the number of the member is the group is :\nOptions: a. 57, b. 66, c. 77, d. 87, e. 97", "output": [ "b" ] }, { "id": "task1678-1718e0b44f234f0799126c7ddd5772b9", "input": "Problem: the difference of two numbers is 2 and the difference of their squares is 12. the sum of the number is\nOptions: a. 6, b. 8, c. 10, d. 22, e. 24", "output": [ "a" ] }, { "id": "task1678-4b91a5167ad043a399932980863afb81", "input": "Problem: a type of extra - large suv averages 12.2 miles per gallon ( mpg ) on the highway, but only 7.6 mpg in the city. what is the maximum distance, in miles, that this suv could be driven on 25 gallons of gasoline ?\nOptions: a. 190, b. 284.6, c. 300, d. 305, e. 312", "output": [ "d" ] }, { "id": "task1678-963e3d3a4e0d49208773b2ef060d44d2", "input": "Problem: 5 men are equal to as many women as are equal to 8 boys. all of them earn rs. 120 only. men â € ™ s wages are ?\nOptions: a. 6 rs, b. 2 rs, c. 4 rs, d. 9 rs, e. 8 rs", "output": [ "e" ] }, { "id": "task1678-fc869eb43c5347e4974bb0bcac446554", "input": "Problem: 3 / 5 of all married couples have more than one child. 1 / 4 of all married couples have more than 3 children. what fraction of all married couples have 2 or 3 children ?\nOptions: a. 1 / 5, b. b. 1 / 4, c. 7 / 20, d. 3 / 5, e. it can not be determined from the given information.", "output": [ "c" ] }, { "id": "task1678-c639a9a7695a4299ade60a8fee52e819", "input": "Problem: a and b are two partially filled buckets of water. if 5 liters are transferred from a to b, then a would contain one - third of the amount of water in b. alternatively, if 4 liters are transferred from b to a, b would contain one - half of the amount of water in a. bucket a contains how many liters of water ?\nOptions: a. 11, b. 52 / 5, c. 17, d. 21, e. 23", "output": [ "b" ] }, { "id": "task1678-bd3eead1116d45c1a0b0c1abe42e0f38", "input": "Problem: a company pays 12.5 % dividend to its investors. if an investor buys rs. 60 shares and gets 25 % on investment, at what price did the investor buy the shares ?\nOptions: a. 25, b. 66, c. 30, d. 19, e. 01", "output": [ "c" ] }, { "id": "task1678-c3dad083dd924778bb34451894b017cc", "input": "Problem: of the 13 employees in a certain department, 1 has an annual salary of 38,000, 2 have an annual salary of 45,500 each, 2 have an annual salary of 42,500 each, 3 have an annual salary of 40,000 each and 5 have an annual salary of 48,500 each. what is the median annual salary for the 13 employees ?\nOptions: a. 38,000, b. 40,000, c. 42,500, d. 45,500, e. 48,500", "output": [ "d" ] }, { "id": "task1678-ddf838aedc2e4b5ab46170a90d48f42c", "input": "Problem: what is the 10 digit to the right of the decimal point, in the decimal expansion of ( 1 / 2 ) ^ 10 ?\nOptions: a. 9, b. 4, c. 2, d. 1, e. 5", "output": [ "e" ] }, { "id": "task1678-ec908fa5e22b4ae5b5dfa0f86dd89d02", "input": "Problem: find the curved surface area, if the radius of a cone is 35 m and slant height is 30 m ?\nOptions: a. 1100, b. 2200, c. 3300, d. 4400, e. 5500", "output": [ "c" ] }, { "id": "task1678-0a011190ab714996aa43b70e5487a594", "input": "Problem: the sum of two numbers is 20 and the sum of their squares is 140. find the product of the two numbers.\nOptions: a. 130, b. 140, c. 120, d. 145, e. 150", "output": [ "a" ] }, { "id": "task1678-b7047435726146989497c387a2d96b9c", "input": "Problem: a man have 8 t - shirt and some pant. he can dress in 72 ways. then tell me the no. of pant that man have.\nOptions: a. 8, b. 9, c. 10, d. 11, e. 12", "output": [ "b" ] }, { "id": "task1678-11145b782ff642d3acc541713de14caa", "input": "Problem: on average, machine a will produce a completed item once every 4 minutes, and machine b will produce a completed item once every 5 minutes. the number of items machine a produces in a 24 - hour period is approximately what percent greater than the number of items machine b would produce in that same period ?\nOptions: a. 25 %, b. 15 %, c. 45 %, d. 33 %, e. 55 %", "output": [ "a" ] }, { "id": "task1678-84d938fe223c4762ab4da328a683595b", "input": "Problem: what is the divisor ? the dividend is 76, the remainder is 8, the quotient is 4\nOptions: a. 32, b. 48, c. 67, d. 17, e. 26", "output": [ "d" ] }, { "id": "task1678-11fd2398929440cf9fa42ffbb40a9b33", "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": "task1678-5cfa1c8eaa344e62832b2b211e633349", "input": "Problem: at what rate percent per annum will a sum of money double in 6 years.\nOptions: a. 12.5 %, b. 13.5 %, c. 11.5 %, d. 14.5 %, e. 16.6 %", "output": [ "e" ] }, { "id": "task1678-401052ea42ba4db6a527b9878642e1e6", "input": "Problem: if 8 gallons of gasoline are added to a tank that is already filled to 3 / 4 of its capacity, the tank is then filled to 9 / 10 of its capacity. how many gallons does the tank hold ?\nOptions: a. 20, b. 24, c. 36, d. 48, e. 60", "output": [ "d" ] }, { "id": "task1678-574f3914382b4821b3b36b2ee94809f9", "input": "Problem: a certain company ’ s profit in 1996 was 15 percent greater than its profit in 1995, and its profit in 1997 was 20 percent greater than its profit in 1996. the company ’ s profit in 1997 was what percent greater than its profit in 1995 ?\nOptions: a. 5 %, b. 18 %, c. 33 %, d. 35 %, e. 38 %", "output": [ "e" ] }, { "id": "task1678-f86af6a117e94f97b732a5495442d1ee", "input": "Problem: what percent of 250 is 45 ?\nOptions: a. 0.25 %, b. 18 %, c. 25 %, d. 40 %, e. 250 %", "output": [ "b" ] }, { "id": "task1678-1dad57fc845d4225ae066a3b4199c0fb", "input": "Problem: i chose a number and divide it by 2. then i subtracted 100 from the result and got 4. what was the number i chose ?\nOptions: a. 200, b. 208, c. 400, d. 500, e. 100", "output": [ "b" ] }, { "id": "task1678-cf9d9c5af2e54a59945849fd40298d40", "input": "Problem: the perimeter of an isosceles right triangle is 12 + 12 sq rt 2. what is the length of the hypotenuse of the triangle ?\nOptions: ['a. 5', 'b. 6', 'c. 7', 'd. 8.485', 'e. 8']", "output": [ "d" ] }, { "id": "task1678-9962c35de50d4fcba335d0df26ce2c0a", "input": "Problem: what is the sum of all possible solutions to | x - 3 | ^ 2 + | x - 3 | = 12 ?\nOptions: a. 5, b. 6, c. 7, d. 8, e. 9", "output": [ "a" ] }, { "id": "task1678-e91b01e3a588466da141a5f72c9673f0", "input": "Problem: a certain protective additive increases from 50 days to 60 days the time between required maintenance checks on an industrial vehicle. by what percent is the time between maintenance checks increased by using the additive ?\nOptions: a. 25 %, b. 33 1 / 3 %, c. 50 %, d. 66 2 / 3 %, e. 20 %", "output": [ "e" ] }, { "id": "task1678-bb94e869b48c4d4987c5487bf3914430", "input": "Problem: given that 268 * 74 = 19832, find the values of 2.68 * 0.74.\nOptions: a. 1.9328, b. 1.9832, c. 1.9823, d. 1.9382, e. none of them", "output": [ "b" ] }, { "id": "task1678-9955dc4015f24234ae02023de6d8b8b1", "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": "task1678-6a38a6fb138345b382d3009925a55460", "input": "Problem: a pump can fill a tank with a water in 2 hours. because of a leak, it took 3 and 1 / 3 hours to fill the tank. the leak can drain all the water of the full tank in how many hours ?\nOptions: a. 5 hrs, b. 7 hrs, c. 12 hrs, d. 14 hrs, e. 16 hrs", "output": [ "a" ] }, { "id": "task1678-8b5fc3e24c764e3f835426fd8d76ac5e", "input": "Problem: if henry were to add 9 gallons of water to a tank that is already 3 / 4 full of water, the tank would be 7 / 8 full. how many gallons of water would the tank hold if it were full ?\nOptions: a. 25, b. 40, c. 64, d. 72, e. 96", "output": [ "d" ] }, { "id": "task1678-ea48cc61e2c54048b7dc7896a3d44928", "input": "Problem: bruce and anne can clean their house in 4 hours working together at their respective constant rates. if anne ’ s speed were doubled, they could clean their house in 3 hours working at their respective rates. how many w hours does it currently take anne to clean the house on her own ?\nOptions: a. 6, b. 7, c. 8, d. 12, e. 14", "output": [ "d" ] }, { "id": "task1678-30c487f8f3ed427c8637534c3d03c4c9", "input": "Problem: the price of an item is discounted 10 percent on day 1 of a sale. on day 2, the item is discounted another 10 percent, and on day 3, it is discounted an additional 30 percent. the price of the item on day 3 is what percentage of the sale price on day 1 ?\nOptions: a. 28 %, b. 63 %, c. 64.8 %, d. 70 %, e. 72 %", "output": [ "b" ] }, { "id": "task1678-29dea5f61d994a4ba274d32dfcb1bb0b", "input": "Problem: the price of a book is increased from $ 300 to $ 330. what is the % of increase in its price ?\nOptions: a. 10 %, b. 20 %, c. 30 %, d. 35 %, e. 45 %", "output": [ "a" ] }, { "id": "task1678-7230f0b9ce4f4aee8f451516ecad4f15", "input": "Problem: a sum of 14,800 amounts to 19,800 in 3 years at the rate of simple interest. what is the rate of interest ?\nOptions: a. 12 %, b. 11 %, c. 16 %, d. 15 %, e. 18 %", "output": [ "b" ] }, { "id": "task1678-caa93807ddf1435c853abd6681b4b07e", "input": "Problem: a train travels at the rate of 10 miles / hr for the first hour of a trip, at 20 miles / hr for the second hour, at 30 miles / hr for the third hour and so on. how many hours will it take the train to complete a 360 - mile journey ? assume that the train makes no intermediate stops.\nOptions: a. 8, b. 8.5, c. 9, d. 9.5, e. 10", "output": [ "a" ] }, { "id": "task1678-f78524cf2e224fabad83955d0bfb8904", "input": "Problem: in the figure given below, abc and cde are two identical semi - circles of radius 2 units. b and d are the mid points of the arc abc and cde respectively. what is the area of the shaded region ?\nOptions: ['a. 4 π - 1', 'b. 3 π - 1', 'c. 2 π - 4', 'd. ½ ( 3 π - 1 )', 'e. 2 π - 2']", "output": [ "c" ] }, { "id": "task1678-66cbfe478e6f46f4b088015e1cbb64ed", "input": "Problem: from the sale of sleeping bags, a retailer made a gross profit of 16 % of the wholesale cost. if each sleeping bag was sold for $ 28, what was the wholesale cost per bag ?\nOptions: a. 3.0, b. 3.36, c. 24.13, d. 25.0, e. 31.36", "output": [ "c" ] }, { "id": "task1678-1fea741a6eec4a62ba5ce85053a31ac7", "input": "Problem: a number is doubled and 5 is added. if the resultant is trebled, it becomes 129. what is that number ?\nOptions: a. 12, b. 29, c. 27, d. 19, e. 99", "output": [ "d" ] }, { "id": "task1678-58034a7e166a4a988aabdf9df7950a74", "input": "Problem: the average temperature for tuesday, wednesday and thursday was 42 ° c. the average temperature for wednesday, thursday and friday was 44 ° c. if the temperature on friday be 43 ° c, what was the temperature on tuesday ?\nOptions: a. 39 ° c, b. 44 ° c, c. 37 ° c, d. 42 ° c, e. none of these", "output": [ "c" ] }, { "id": "task1678-6a33818ecd2f4abaa3add74c637299c4", "input": "Problem: 72519 x 9999 = ?\nOptions: a. 725117481, b. 674217481, c. 685126481, d. 696217481, e. none of them", "output": [ "a" ] }, { "id": "task1678-6682e58280de4bbcb5654339499f77db", "input": "Problem: on a certain date, pat invested $ 5,000 at x percent annual interest, compounded annually. if the total value of the investment plus interest at the end of 10 years will be $ 20,000, in how many years total will the total value of the investment plus interest increase to $ 40,000 ?\nOptions: a. 15, b. 16, c. 18, d. 20, e. 24", "output": [ "a" ] }, { "id": "task1678-8782e9f783504b639e8aec1e1dd53091", "input": "Problem: if a, b, and c are positive real numbers such that a ( b + c. = 152, b ( c + a. = 162, and c ( a + b. = 170, then abc is\nOptions: a. a. 672, b. b. 688, c. c. 704, d. d. 720, e. e. 750", "output": [ "d" ] }, { "id": "task1678-693024997d074252a9d5fee77c1ba209", "input": "Problem: s is a set of 50 consecutive multiples of 2. if the smallest number in s is 56, then the greatest number in s is\nOptions: a. 198, b. 154, c. 199, d. 102, e. 105", "output": [ "b" ] }, { "id": "task1678-e2008da3132a4656ba3682ba3d139cb7", "input": "Problem: the total number of digit used in numbering the pages of a book having 366 pages, is :\nOptions: a. 732, b. 990, c. 1098, d. 1305, e. none of these", "output": [ "b" ] }, { "id": "task1678-44d2f6ea310d4488946a6c1083c14ce7", "input": "Problem: 5.511 / 10.02 =\nOptions: a. 0.35, b. 0.55, c. 0.3509, d. 0.351, e. 0.3527", "output": [ "b" ] }, { "id": "task1678-6f2c312768a34c9cbd91cbafec3c8ef1", "input": "Problem: running at the same constant rate, 6 identical machines can produce a total of 240 bottles per minute. at this rate, how many bottles could 10 such machines produce in 4 minutes ?\nOptions: a. 648, b. 1,800, c. 1,600, d. 10,800, e. 64,800", "output": [ "c" ] }, { "id": "task1678-36f6057505ac4257b3b912c75f23d5e3", "input": "Problem: there are 5 boxes in a cargo. the weight of the 1 st box is 200 kg, the weight of the 2 nd box is 20 % higher than the third box, whose weight is 25 % higher than the 1 st box weight. the 4 th box which weighs 350 kg is 30 % lighter than the 5 th box. find the difference in average weight of the 4 heaviest boxes and the 4 lightest boxes.\nOptions: a. 22, b. 75, c. 25, d. 70, e. 11", "output": [ "b" ] }, { "id": "task1678-448ab32417fb48388c7db7155da485aa", "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": "task1678-cccc0d34506c454f898888b8105fba23", "input": "Problem: if each side of a square is increased by 20 %, find the percentage change in its area ?\nOptions: a. 40 %, b. 42 %, c. 46 %, d. 44 %, e. 38 %", "output": [ "d" ] }, { "id": "task1678-846de7079f6243f395f92b091d0ba980", "input": "Problem: by selling 20 pencils for a rupee a man loses 30 %. how many for a rupee should he sell in order to gain 30 % ?\nOptions: a. 8.56, b. 10.75, c. 14.5, d. 16.5, e. 11.4", "output": [ "b" ] }, { "id": "task1678-39ebc5db62404d538b2a1d13ef6ca563", "input": "Problem: how many positive integers less than 100 are neither multiples of 2 or 3 ?\nOptions: a. 30, b. 31, c. 32, d. 33, e. 34", "output": [ "d" ] }, { "id": "task1678-28d7ccc718544ec9a85bbc8ba73fd9b9", "input": "Problem: an article is bought for rs. 675 and sold for rs. 775, find the gain percent ?\nOptions: a. 73 %, b. 14.8 %, c. 33 1 / 3 %, d. 93 1 / 3 %, e. 33 1 / 3 %", "output": [ "b" ] }, { "id": "task1678-07b1c26cb0354bec82fa21ff908baf73", "input": "Problem: a man buys 60 pens at marked price of 46 pens from a whole seller. if he sells these pens giving a discount of 1 %, what is the profit percent ?\nOptions: a. 7.6 %, b. 7.7 %, c. 29.13 %, d. 33.6 %, e. 37.82 %", "output": [ "c" ] }, { "id": "task1678-ac3e95ffd3c34ccbb7fbc3f723c05249", "input": "Problem: a sells a bicycle to b and makes a profit of 25 %. b sells the same bicycle to c at a profit of 25 %. if the final s. p. of the bicycle was rs. 225, find out the cost price of the bicycle for a.\nOptions: a. 237, b. 126, c. 971, d. 611, e. 144", "output": [ "e" ] }, { "id": "task1678-e71b41b03d284facb3a312e1a4baf381", "input": "Problem: what is the area of a regular hexagon with sides 1 in. long ?\nOptions: a. 1.59 square inch, b. 2.59 square inch, c. 3.59 square inch, d. 4.59 square inch, e. 2.69 square inch", "output": [ "b" ] }, { "id": "task1678-f2cc242f88154278a17f97176b244dc8", "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": "task1678-f2b101bdd7494da98345c42e9e7046fc", "input": "Problem: two trains running in opposite directions cross a man standing on the platform in 37 seconds and 27 seconds respectively and they cross each other in 29 seconds. the ratio of their speeds is :\nOptions: a. 3: 1, b. 3: 2, c. 3: 8, d. 3: 25, e. 1: 4", "output": [ "e" ] }, { "id": "task1678-a6502778e4244aca904a816efcd9454f", "input": "Problem: what is the rate percent when the simple interest on rs. 800 amount to rs. 160 in 5 years ?\nOptions: a. 5 %, b. 7 %, c. 9 %, d. 2 %, e. 4 %", "output": [ "e" ] }, { "id": "task1678-f1530f1d9ea94fe3b141846a4cd62ccd", "input": "Problem: if 2 + 2 / x = 3 - 3 / x, then x =\nOptions: a. - 5, b. 2 / 3, c. 1, d. 3 / 2, e. 5", "output": [ "e" ] }, { "id": "task1678-32af8c35aead4b96817d7184d8bdf797", "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": "task1678-7c829cc5a6eb405d8764f0bf459bafcc", "input": "Problem: harold works at a resort from the beginning of march to the end of september. during the month of august this past year, he made 2 times the average ( arithmetic mean ) of his monthly totals in tips for the other months. his total tips for august were what fraction of his total tips for all of the months he worked ?\nOptions: a. 1 / 3, b. 2 / 5, c. 1 / 4, d. 1 / 2, e. 4 / 7", "output": [ "c" ] }, { "id": "task1678-4e37130ae95c4b6e8a7dfe3131c26dbe", "input": "Problem: a plant manager must assign 12 new workers to one of five shifts. she needs a first, second, and third shift, and two alternate shifts. each of the shifts will receive 3 new workers. how many different ways can she assign the new workers ?\nOptions: a. 2430, b. 2640, c. 3300, d. 4860, e. 5400", "output": [ "b" ] }, { "id": "task1678-bebf01b6f5ba45d7a02ad9978e11b7df", "input": "Problem: a and b invests rs. 5000 and rs. 6000 in a business. after 6 months, a withdraws two - fifth of his capital and 2 months later, b withdraws one - third of his capital. in what ratio should they share the profits at the end of the year ?\nOptions: a. 3: 5, b. 7: 8, c. 5: 6, d. 3: 4, e. 7: 9", "output": [ "d" ] }, { "id": "task1678-d869936f2c6847cf83fbe480500bfb9b", "input": "Problem: in a maths test, students were asked to find 5 / 16 of a certain number. one of the students by mistake found 5 / 6 th of that number and his answer was 150 more than the correct answer. find the number.\nOptions: a. 125, b. 288, c. 384, d. 400, e. 500", "output": [ "b" ] }, { "id": "task1678-a68151a112ef4feaaab12bf9d53372dd", "input": "Problem: a, b and c enter into a partnership by investing $ 7000, $ 11000 and $ 18000 respectively. at the end of 8 months, b receives $ 880 as his share. find the share of a.\nOptions: a. $ 320, b. $ 440, c. $ 560, d. $ 670, e. $ 780", "output": [ "c" ] }, { "id": "task1678-170a26eefc1845bd8429c1ccd244552e", "input": "Problem: bill downloads the movierevenge of the avengersto his computer in 2.5 hours, using a download manager that downloads from 3 sources marked a, b and c. each source provides download at a constant rate, but the rates of different sources are not necessarily identical. if the movie was downloaded from sources a and c alone, it would take 4 hours to complete the download. the next day, source b is available, but the other sources are inactive. how long will it take to download the trailer of the movie, a file that is 10 times smaller, from source b alone ?\nOptions: a. 40 minutes, b. 15 minutes, c. 12 minutes, d. 10 minutes, e. 3 minutes", "output": [ "a" ] }, { "id": "task1678-303e135966ac43b2aed5b51fe5d3a330", "input": "Problem: a bowl of fruit contains 14 apples and 21 oranges. how many oranges must be removed so that 70 % of the pieces of fruit in the bowl will be apples ?\nOptions: a. 3, b. 15, c. 14, d. 17, e. 20", "output": [ "b" ] }, { "id": "task1678-8e96689e85084fc5b6988631f1e836c6", "input": "Problem: the present worth of rs. 2310 due 2 years hence, the rate of interest being 15 % per annum, is :\nOptions: a. 1689, b. 1680, c. 1682, d. 1681, e. 1686", "output": [ "b" ] }, { "id": "task1678-0398ecacc7d64d64b14505ac58092499", "input": "Problem: after decreasing 24 % in the price of an article costs rs. 684. find the actual cost of an article ?\nOptions: a. 218, b. 777, c. 900, d. 2688, e. 1991", "output": [ "c" ] }, { "id": "task1678-ac069e14395f42b0a9bcbedf195ef9b3", "input": "Problem: a man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream. the ratio of the speed of the boat in still water and stream is\nOptions: a. 3: 1, b. 1: 3, c. 2: 4, d. 4: 2, e. none of these", "output": [ "a" ] }, { "id": "task1678-38ea9acee4cc497ab9ffde9cb6c1cf5c", "input": "Problem: ritesh and co. generated revenue of rs. 1,600 in 2006. this was 12.5 % of its gross revenue. in 2007, the gross revenue grew by rs. 2,500. what is the percentage increase in the revenue in 2007 ?\nOptions: a. 12.5 %, b. 19.53 %, c. 25 %, d. 50 %, e. none of these", "output": [ "b" ] }, { "id": "task1678-10661bd6f2f24162845e2aaa0dd95527", "input": "Problem: the average ( arithmetic mean ) of the integers from 100 to 400, inclusive, is how much greater than the average of the integers from 50 to 250, inclusive ?\nOptions: a. 100, b. 175, c. 200, d. 125, e. 300", "output": [ "a" ] }, { "id": "task1678-cbdd82bfc3b64211aed0b2bd56916946", "input": "Problem: a tourist does not have to pay tax on the first $ 600 of goods he purchases in country b, but does have to pay a 11 percent tax on the portion of the total value that is in excess of $ 600. what tax must be paid by a tourist if he buys goods with a total value of $ 1720 ?\nOptions: a. $ 54.00, b. $ 64.80, c. $ 90.00, d. $ 100.80, e. $ 123.20", "output": [ "e" ] }, { "id": "task1678-e903a4953da14660b3463931e06b1948", "input": "Problem: how much is 60 % of 40 is greater than 4 / 5 of 30 ?\nOptions: a. 8, b. 3, c. 7, d. 0, e. 1", "output": [ "d" ] }, { "id": "task1678-a9b87978cf4e4b43a7ee4815c9fbd521", "input": "Problem: a train speeds past a pole in 22 seconds and a platform 140 m long in 33 seconds. its length is ?\nOptions: a. 280, b. 260, c. 300, d. 290, e. 270", "output": [ "a" ] }, { "id": "task1678-a8755e47e6b2459488a3f9aa9e0eec1a", "input": "Problem: find the greatest number which on dividing 6215 and 7373, leaves a reminder of 23 and 29 respectively\nOptions: a. 125, b. 127, c. 129, d. 131, e. 144", "output": [ "e" ] }, { "id": "task1678-76ec3dba42734ec89f9cb89c61d7ba3e", "input": "Problem: an urn contains 5 red, 6 blue and 8 green balls. 3 balls are randomly selected from the urn, find the probability that the drawn ball are blue ?\nOptions: a. 20 / 969, b. 20 / 875, c. 21 / 876, d. 3 / 512, e. 2 / 9", "output": [ "a" ] }, { "id": "task1678-e6e3eaa76da441329f63417b7e0e8e0f", "input": "Problem: the pinedale bus line travels at an average speed of 60 km / h, and has stops every 5 minutes along its route. yahya wants to go from his house to the pinedale mall, which is 8 stops away. how far away, in kilometers, is pinedale mall away from yahya ' s house ?\nOptions: a. 20 km, b. 30 km, c. 40 km, d. 50 km, e. 60 km", "output": [ "c" ] }, { "id": "task1678-24a3586fb1a24e73b936843fc13e2e58", "input": "Problem: the sum of ages of 5 children born at the intervals of 2 years each is 55 years. what is the age of the youngest child ?\nOptions: a. 4, b. 7, c. 6, d. 9, e. 8", "output": [ "b" ] }, { "id": "task1678-832dede788c943058e7ac67fbc336e92", "input": "Problem: what is the probability of getting a sum 9 from two throws of dice.\nOptions: a. 1 / 3, b. 1 / 9, c. 1 / 12, d. 2 / 9, e. none of these", "output": [ "b" ] }, { "id": "task1678-13035e190d3944f58b5dc059b68e6efd", "input": "Problem: two equally sized jugs full of water are each emptied into two separate unequally sized empty jugs, x and y. now, jug x is 1 / 5 full, while jug y is 4 / 7 full. if water is poured from jug x into jug y until jug y is filled, what fraction of jug x then contains water ?\nOptions: a. 0, b. 1 / 15, c. 2 / 15, d. 1 / 20, e. 2 / 10", "output": [ "d" ] }, { "id": "task1678-212c5831cff44d3bb9bcaed98fdc22e4", "input": "Problem: two goods trains each 820 m long are running in opposite directions on parallel tracks. their speeds are 45 km / hr and 30 km / hr respectively. find the time taken by the slower train to pass the driver of the faster one ?\nOptions: a. 228, b. 27.32, c. 76.6, d. 78.72, e. 21", "output": [ "d" ] }, { "id": "task1678-67fd8ef35e4f492f98c3733d1b9bd7ec", "input": "Problem: 20 beavers, working together in a constant pace, can build a dam in 3 hours. how many hours c will it take 12 beavers that work at the same pace, to build the same dam ?\nOptions: a. 2., b. 4., c. c = 5., d. c = 6., e. 8.", "output": [ "c" ] }, { "id": "task1678-b4dc821968f1442299f1bae63e66175e", "input": "Problem: indu gave bindu rs. 1875 on compound interest for 2 years at 4 % per annum. how much loss would indu has suffered had she given it to bindu for 2 years at 4 % per annum simple interest ?\nOptions: a. s. 10, b. s. 2, c. s. 5, d. s. 3, e. s. 4", "output": [ "d" ] }, { "id": "task1678-016066360fe4430ca3dff53cfd692ced", "input": "Problem: how many integers are between 7 and 57 / 4, inclusive ?\nOptions: a. 4, b. 5, c. 7, d. 8, e. 10", "output": [ "d" ] }, { "id": "task1678-be5d54dd2ac549608a40c725b838c7a1", "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": "task1678-6993ba23190f4612ac4257cb2ee300be", "input": "Problem: 3 / 5 * [ ( 2 / 3 + 3 / 8 ) / 2 ] - 1 / 16 =\nOptions: a. 1 / 4, b. 19 / 16, c. 15 / 16, d. 9 / 13, e. 0", "output": [ "a" ] }, { "id": "task1678-da9326fb5f7d49edad283b726b5f1327", "input": "Problem: steve traveled the first 2 hours of his journey at 40 mph and the last 3 hours of his journey at 100 mph. what is his average speed of travel for the entire journey ?\nOptions: a. 60 mph, b. 56.67 mph, c. 53.33 mph, d. 64 mph, e. 76 mph", "output": [ "e" ] }, { "id": "task1678-c082003cd2e948ffb0d42de8fe37dce0", "input": "Problem: each of the cucumbers in 100 pounds of cucumbers is composed of 99 % water, by weight. after some of the water evaporates, the cucumbers are now 93 % water by weight. what is the new weight of the cucumbers, in pounds ?\nOptions: a. 2, b. 15, c. 92, d. 96, e. 98", "output": [ "b" ] }, { "id": "task1678-2312cc58c5664827b9f1606872ff2976", "input": "Problem: the cost of the paint is rs. 50 per kg. if 1 kg of paint covers 20 sq. ft, how much will it cost to paint outside of a cube having 20 feet each side\nOptions: a. rs. 962, b. rs. 6000, c. rs. 546, d. rs. 876, e. none of these", "output": [ "b" ] }, { "id": "task1678-bc283b0e79064b4a8efba757d6e718aa", "input": "Problem: a man can row downstream at 25 kmph and upstream at 15 kmph. find the time to reach a destination point at a distance of 50 km along the downstream.\nOptions: a. 4 hrs., b. 1 hrs., c. 3 hrs., d. 2 hrs., e. 2 1 / 2 hrs.", "output": [ "d" ] }, { "id": "task1678-a5d60a52a3484f6ca54b8258d7dcee41", "input": "Problem: a train is 360 meter long is running at a speed of 45 km / hour. in what time will it pass a bridge of 160 meter length ?\nOptions: a. 11 seconds, b. 41.6 seconds, c. 40 seconds, d. 88 seconds, e. 19 seconds", "output": [ "b" ] }, { "id": "task1678-5dd444be074c457fa754d50f8d061a86", "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": "task1678-3d1ef5bdcd984bee8643e07bdb2c3344", "input": "Problem: a certain airline ' s fleet consisted of 90 type a planes at the beginning of 1980. at the end of each year, starting with 1980, the airline retired 3 of the type a planes and acquired 4 new type b plans. how many years did it take before the number of type a planes left in the airline ' s fleet was less than 50 percent of the fleet ?\nOptions: a. 11, b. 12, c. 13, d. 14, e. 15", "output": [ "c" ] }, { "id": "task1678-05b9da5e105445068cba274f3a39ad9b", "input": "Problem: john makes $ 60 a week from his job. he earns a raise andnow makes $ 78 a week. what is the % increase ?\nOptions: a. 16.12 %, b. 16.66 %, c. 30 %, d. 17.66 %, e. 18.1 %", "output": [ "c" ] }, { "id": "task1678-f3628a5693b4466d8d57f035d3d94947", "input": "Problem: what is the perimeter of a square field whose diagonal is 8 â ˆ š 2 ?\nOptions: a. 64 m, b. 32 m, c. 30 m, d. 16 m, e. 18 m", "output": [ "b" ] }, { "id": "task1678-055e7a909a4c48f8ab888fb3bb38c342", "input": "Problem: a jogger running at 9 km / hr along side a railway track is 250 m ahead of the engine of a 120 m long train running at 45 km / hr in the same direction. in how much time will the train pass the jogger ?\nOptions: a. 37 sec, b. 89 sec, c. 36 sec, d. 87 sec, e. 45 sec", "output": [ "a" ] }, { "id": "task1678-3a4ebe81ba574d71b40519c5053b49eb", "input": "Problem: find the simple interest on $ 1000 for 3 years at 10 % per annum ?\nOptions: a. $ 250, b. $ 300, c. $ 500, d. $ 600, e. $ 1000", "output": [ "b" ] }, { "id": "task1678-dc5e7d82ae9548c4845959b2580144fa", "input": "Problem: two pipes a and b can separately fill a cistern in 60 minutes and 75 minutes respectively. there is a third pipe in the bottom of the cistern to empty it. if all the three pipes are simultaneously opened, then the cistern is full in 50 minutes. in how much time, the third pipe alone can empty the cistern ?\nOptions: a. 90 min, b. 100 min, c. 110 min, d. 120 min, e. 130 min", "output": [ "b" ] }, { "id": "task1678-55c7e51e505e43ec93c78ce88c7a1186", "input": "Problem: of the 20,210 employees of the anvil factory, 2 / 7 are journeymen. if half of the journeymen were laid off, what percentage of the total remaining employees would be journeymen ?\nOptions: a. 14.3 %, b. 16.67 %, c. 33 %, d. 28.6 %, e. 49.67 %", "output": [ "e" ] }, { "id": "task1678-544cc57455e84354b8113b8b30a5f9b7", "input": "Problem: if jimmy drinks 8 ounces of water each time for 8 times a day. how much gallons of water he would have to prepare ahead to drink for 5 days ? ( 1 ounce = 0.0078125 gallon )\nOptions: a. 1, b. 1.5, c. 2, d. 2.5, e. 3", "output": [ "d" ] }, { "id": "task1678-de88e85fc41348cbaf4ea43ecc2ad7f2", "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": "task1678-d6b368033413405398733391cd78a18f", "input": "Problem: two trains, a and b, started simultaneously from opposite ends of a 120 - mile route and traveled toward each other on parallel tracks. train a, traveling at a constant rate, completed the 120 - mile trip in 6 hours; train b, traveling at a constant rate, completed the 120 - mile trip in 4 hours. how many miles had train a traveled when it met train b ?\nOptions: a. 28, b. 36, c. 48, d. 50, e. 54", "output": [ "c" ] }, { "id": "task1678-4809fb4a0d3748a787297bcea39ab890", "input": "Problem: if a speaks the truth 55 % of the times, b speaks the truth 60 % of the times. what is the probability that they tell the truth at the same time\nOptions: a. 0.29, b. 0.33, c. 0.41, d. 0.482, e. 0.411", "output": [ "b" ] }, { "id": "task1678-98d8718a63a04e78bced37499676896e", "input": "Problem: the closest approximation of ( 69.28 × 0.004 ) / 0.03 is\nOptions: a. 0.092, b. 0.92, c. 9.2, d. 92, e. 920", "output": [ "c" ] }, { "id": "task1678-0e5dfae84e8844db9d241e6f4e8e753a", "input": "Problem: to complete a work a and b takes 8 days, b and c takes 12 days, a, b and c takes 6 days. how much time a and c will take\nOptions: a. 24 days, b. 16 days, c. 12 days, d. 8 days, e. none of these", "output": [ "d" ] }, { "id": "task1678-663df7cfbc734f998ca1a56c3560fa1c", "input": "Problem: 16 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. find the smallest part ?\nOptions: a. 14, b. 12, c. 11, d. 8, e. 7", "output": [ "e" ] }, { "id": "task1678-950afc0622244ff98f9fd6a8e16c4d36", "input": "Problem: maxwell leaves his home and walks toward brad ' s house. one hour later, brad leaves his home and runs toward maxwell ' s house. if the distance between their homes is 34 kilometers, maxwell ' s walking speed is 4 km / h, and brad ' s running speed is 6 km / h. what is the total time it takes maxwell before he meets up with brad ?\nOptions: a. 3, b. 4, c. 5, d. 6, e. 8", "output": [ "b" ] }, { "id": "task1678-a50f07010d5f44b48d582c7d27e0134b", "input": "Problem: if log 2 x - 5 log x + 6 = 0, then what would the value / values of x be ?\nOptions: a. 5.3296, b. 6.3296, c. 7.3296, d. 8.3296, e. 9.3296", "output": [ "a" ] }, { "id": "task1678-401f52a3b0e24835ac4d78571606854b", "input": "Problem: the salary of a person was reduced by 25 %. by what percent should his reduced salary be raised so as to bring it at par with his original salary ?\nOptions: a. 10 %, b. 33.33 %, c. 20 %, d. 25 %, e. 50 %", "output": [ "b" ] }, { "id": "task1678-f79dc495eb534a67b4ca14aed0c27b03", "input": "Problem: if a light flashes every 6 seconds, how many times will it flash in 1 / 3 of an hour ?\nOptions: a. 101, b. 201, c. 301, d. 401, e. 501", "output": [ "b" ] }, { "id": "task1678-7ded84bc264c418f8e407b0677f3fc00", "input": "Problem: if ( x + 1 ) ( x + 3 ) = x ^ 2 + x, what is a possible value of x ?\nOptions: a. 2, b. 3, c. - 1 / 3, d. - 3, e. - 1", "output": [ "e" ] }, { "id": "task1678-2278eb6bd4ba4f4ca08288eb0c6a1280", "input": "Problem: a company recently conducted a survey and found that 20,000 of its customers live in rural areas. if the number of customers who live in urban areas is 100 percent greater than the number of customers who live in rural areas, how many customers live in urban areas ?\nOptions: a. 40,000, b. 45,000, c. 50,000, d. 55,000, e. 60,000", "output": [ "a" ] }, { "id": "task1678-38dc3534a4c54fddb17de8339cb68c07", "input": "Problem: as a treat for her two children, a mother runs to the freezer in which she has 3 cherry ice pops, 4 orange ice pops, and 4 lemon ice pops. she chooses two at random to bring outside to the children, but realizes as she runs out the door that she can not bring them different flavors without one being jealous of the other and getting even more upset. what is the probability that she has to return to the freezer to make sure that they each receive the same flavor ?\nOptions: a. 3 / 5, b. 5 / 7, c. 8 / 11, d. 11 / 15, e. 13 / 20", "output": [ "c" ] }, { "id": "task1678-51aaad078e2e44a795562897af858183", "input": "Problem: john traveled 80 % of the way from yellow - town to green - fields by train at an average speed of 80 miles per hour. the rest of the way john traveled by car at an average speed of v miles per hour. if the average speed for the entire trip was 70 miles per hour, what is v in miles per hour ?\nOptions: a. 30, b. 40, c. 50, d. 55, e. 60", "output": [ "e" ] }, { "id": "task1678-46075f730f074a4e85774fc3250c0308", "input": "Problem: a rectangular plot measuring 90 metres by 50 metres is to be enclosed by wire fencing. if the poles of the fence are kept 10 metres apart, how many poles will be needed ?\nOptions: a. 28, b. 56, c. 57, d. 58, e. none of these", "output": [ "a" ] }, { "id": "task1678-ebc259ee27e74453a84a5fe5c3631a88", "input": "Problem: if in a race of 80 m, a covers the distance in 20 seconds and b in 25 seconds, then a beats b by :\nOptions: a. 16 m, b. 18 m, c. 15 m, d. 14 m, e. 11 m", "output": [ "a" ] }, { "id": "task1678-ebb3a3a5f04f48648ec4c835cff7e57b", "input": "Problem: when two dice are rolled, what is the probability that the sum of the two numbers is 6 ?\nOptions: a. 1 / 9, b. 5 / 36, c. 1 / 3, d. 2 / 36, e. none of the above", "output": [ "b" ] }, { "id": "task1678-5ddb8acdf7514611907e2265720e19ae", "input": "Problem: two trains start from a & b and travel towards each other at speed of 50 kmph and 60 kmph resp. at the time of the meeting the second train has traveled 100 km more than the first. the distance between them.\nOptions: a. 800 km, b. 900 km, c. 1000 km, d. 1100 km, e. 1200 km", "output": [ "d" ] }, { "id": "task1678-4fe485bcad9d4d53a04c24c770117d52", "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": "task1678-6c3cde8600234171849179cc58ce2687", "input": "Problem: if x < y < z and y - x > 5, where x is an even integer and y and z are odd integers, what is the least possible value a of z - x ?\nOptions: a. 6, b. 7, c. 8, d. 9, e. 10", "output": [ "d" ] }, { "id": "task1678-d96cc16db7b74c7e86292b8df65ea354", "input": "Problem: 0.1 + ( 0.1 ) ^ 2 + ( 0.1 ) ^ 3 =\nOptions: a. 0.1, b. 0.111, c. 0.1211, d. 0.2341, e. 0.3", "output": [ "b" ] }, { "id": "task1678-416b5f6fa1a64481a39dae3c9deed993", "input": "Problem: a train 360 m long runs with a speed of 45 km / hr. what time will it take to pass a platform of 140 m long ?\nOptions: a. 38 sec, b. 35 sec, c. 44 sec, d. 40 sec, e. 48 sec", "output": [ "d" ] }, { "id": "task1678-8cd8766969a04806b4c3f70e47dec8e8", "input": "Problem: convert the 17 / 36 m / s into kilometers per hour ?\nOptions: a. 1.7, b. 1.5, c. 1.3, d. 1.1, e. 1.2", "output": [ "a" ] }, { "id": "task1678-7b6461faf2a1425cbab54cb0a2791644", "input": "Problem: two guys a and b leave point a and point b simultaneously and travel towards point b and point a on the same route at their respective constant speeds. they meet along the route and immediately proceed to their respective destinations in 32 minutes and 50 minutes respectively. how long will b take to cover the entire journey between point b and point a ?\nOptions: a. 65, b. 90, c. 70, d. 75, e. 80", "output": [ "b" ] }, { "id": "task1678-e1cbe54e619e419d8ee2fec449791740", "input": "Problem: in what time will a train 140 m long cross an electric pole, it its speed be 190 km / hr ?\nOptions: a. 2.6 sec, b. 2.9 sec, c. 2.7 sec, d. 8.7 sec, e. 8.5 sec", "output": [ "a" ] }, { "id": "task1678-bb29308a681e4bd38fd7f580a3b79867", "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": "task1678-501ab35795dc4b5583d1b9e1afaf6d57", "input": "Problem: the area of a square garden is a square feet and the perimeter is p feet. if a = 2 p + 26.25, what is the perimeter of the garden, in feet ?\nOptions: a. 28, b. 36, c. 40, d. 42, e. 64", "output": [ "d" ] }, { "id": "task1678-1b111dc726394039ba350174877a33a3", "input": "Problem: for the past n days, the average ( arithmetic mean ) daily production at a company was 50 units. if today ' s production of 95 units raises the average to 55 units per day, what is the value of n ?\nOptions: a. 6, b. 7, c. 8, d. 9, e. 10", "output": [ "c" ] }, { "id": "task1678-c4a423a046c64f9ab31a3b32c990a859", "input": "Problem: how many seconds will a 300 m long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 63 km / hr ?\nOptions: a. 12 sec, b. 30 sec, c. 86 sec, d. 15 sec, e. 18 sec", "output": [ "e" ] }, { "id": "task1678-6b0dddb38c8f458fbdd86cbb7f0a09f3", "input": "Problem: by investing in 1623 % stock at 64, one earns rs. 1600. the investment made is\nOptions: a. s. 9600, b. s. 7500, c. s. 5640, d. s. 6144, e. s. 6760", "output": [ "d" ] }, { "id": "task1678-73b82e8261f241ba8d468ed4ff9e5e44", "input": "Problem: abcd is a parallelogram. bd = 2. the angles of triangle bcd are all equal. what is the perimeter of the parallelogram ?\nOptions: ['a. 12', 'b. 9 √ 3', 'c. 9', 'd. 8', 'e. 3 √ 3']", "output": [ "d" ] }, { "id": "task1678-f70610b2a3274650bbc21b651a267e68", "input": "Problem: the number 42 can be written as the sum of the squares of 3 different positive integers. what is the sum of these 3 integers ?\nOptions: a. 17, b. 10, c. 15, d. 14, e. 13", "output": [ "b" ] }, { "id": "task1678-3936e5e85e014edab030955b3bffd8ac", "input": "Problem: if the price of petrol increases by 40, by how much must a user cut down his consumption so that his expenditure on petrol remains constant ?\nOptions: a. 25 %, b. 20 %, c. 16.67 %, d. 28.6 %, e. none of these", "output": [ "d" ] }, { "id": "task1678-fbaee0ca59e34b3baa92cd72562ca3b4", "input": "Problem: how many factors does 36 ^ 2 have ?\nOptions: a. 2, b. 8, c. 24, d. 25, e. 26", "output": [ "d" ] }, { "id": "task1678-8de96e96471e41308d4e206faff3d396", "input": "Problem: the average of 6 no. ' s is 3.95. the average of 2 of them is 3.8, while the average of theother 2 is 3.85. what is the average of the remaining 2 no ' s ?\nOptions: a. 4.2, b. 4.4, c. 4.6, d. 5.6, e. 5.7", "output": [ "a" ] }, { "id": "task1678-feedda6490c648449fbbc28eb8d34d4f", "input": "Problem: 14 times a number gives 210. the number is\nOptions: a. 11, b. 12, c. 15, d. none, e. can not be determined", "output": [ "c" ] }, { "id": "task1678-4121803ac37e49efb2c96ea76f64ee3a", "input": "Problem: the average of 7 numbers is 24. if each number be multiplied by 5. find the average of new set of numbers ?\nOptions: a. 110, b. 122, c. 120, d. 125, e. 145", "output": [ "c" ] }, { "id": "task1678-a604ea738c424d6abbbce2c4a80cc8c4", "input": "Problem: a cycle is bought for rs. 900 and sold for rs. 1080, find the gain percent ?\nOptions: a. 27 %, b. 20 %, c. 25 %, d. 40 %, e. 28 %", "output": [ "b" ] }, { "id": "task1678-850fbbe592f54e70a4a26095498990da", "input": "Problem: excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 30 kmph. of how many minutes does the train stop per hour ?\nOptions: a. a. 5, b. b. 10, c. c. 20, d. d. 30, e. e. 40", "output": [ "c" ] }, { "id": "task1678-c18ca928c66d44179dfc965c44601a57", "input": "Problem: if rs. 544 be divided among a, b, c in such a way that a gets 2 / 3 of what b gets and b gets 1 / 4 of what c gets, then their shares are respectively ?\nOptions: a. s. 300, b. s. 360, c. s. 389, d. s. 384, e. s. 323", "output": [ "d" ] }, { "id": "task1678-6b58b0759eb4481eace308c2418aa23a", "input": "Problem: m = { - 6, - 5, - 4, - 3, - 2 } t = { - 3, - 2, - 1, 0, 1, 2, 3, 4 } if an integer is to be randomly selected from set m above and an integer is to be randomly selected from set t above, what is the probability that the product of the two integers will be negative ?\nOptions: a. 0, b. 1 / 3, c. 2 / 5, d. 1 / 2, e. 3 / 5", "output": [ "d" ] }, { "id": "task1678-73433f720eff42a89b7b14e49191d016", "input": "Problem: a 300 m long train crosses a platform in 48 sec while it crosses a signal pole in 18 sec. what is the length of the platform ?\nOptions: a. 500, b. 350, c. 828, d. 277, e. 122", "output": [ "a" ] }, { "id": "task1678-319a8594e90145c598bb2e4d13006a15", "input": "Problem: the average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 22 years. find the average age of the women ?\nOptions: a. 87, b. 98, c. 30, d. 29, e. 37", "output": [ "d" ] }, { "id": "task1678-93b33e6b31da470cacc16c51781b8c4d", "input": "Problem: a tank contains 7,000 gallons of a solution that is 5 percent sodium chloride by volume. if 2,500 gallons of water evaporate from the tank, the remaining solution will be approximately what percent sodium chloride ?\nOptions: a. 4.77 %, b. 5.77 %, c. 6.77 %, d. 7.77 %, e. 8.77 %", "output": [ "d" ] }, { "id": "task1678-579fc4a511b84df385a752254606456e", "input": "Problem: if 20 % of x is 15 less than 15 % of 1500, then x is ?\nOptions: a. 872, b. 738, c. 837, d. 840, e. 1050", "output": [ "e" ] }, { "id": "task1678-769f01aa2ea1477f8f3107ff10ab6624", "input": "Problem: a certain fraction is equivalent to 2 / 5. if the numerator of the fraction is increased by 4 and the denominator is doubled, the new fraction is equivalent to 1 / 3. what is the difference of the numerator and denominator of the original fraction ?\nOptions: a. 49, b. 9, c. 28, d. 26, e. 21", "output": [ "b" ] }, { "id": "task1678-8a640af746d64b178ad38dc7b3f0f671", "input": "Problem: the average of numbers 0.34204, 0.34203, 0.34202 and 0.34201 is ?\nOptions: a. 0.34202, b. 0.34204, c. 0.342022, d. 0.342025, e. none", "output": [ "d" ] }, { "id": "task1678-7bb65f80872743d8b1fe34e3d90e235e", "input": "Problem: what is the total number of integers between 10 and 100 ( exclusive. that are divisible by 7 ?\nOptions: a. 10, b. 13, c. 15, d. 12, e. 11", "output": [ "b" ] }, { "id": "task1678-fa4956b15157463289218bd7ebc10c59", "input": "Problem: if the average of 5 positive integers is 70 and the difference between the largest and the smallest of these 5 numbers is 10, what is the maximum value possible for the largest of these 5 integers ?\nOptions: a. 50, b. 52, c. 69, d. 78, e. 84", "output": [ "d" ] }, { "id": "task1678-aaf37790b0b34439ba5fcc5d441e9891", "input": "Problem: a rectangular photograph is surrounded by a border that is 3 inch wide on each side. the total area of the photograph and the border is m square inches. if the border had been 6 inches wide on each side, the total area would have been ( m + 178 ) square inches. what is the perimeter of the photograph, in inches ?\nOptions: a. 34, b. 36, c. 38, d. 40, e. 20", "output": [ "e" ] }, { "id": "task1678-d356a41c4f154ad48977d54959c57822", "input": "Problem: the two lines y = x and x = - 4 intersect on the coordinate plane. if z represents the area of the figure formed by the intersecting lines and the x - axis, what is the side length e of a cube whose surface area is equal to 6 z ?\nOptions: a. e = 16, b. e = 8 √ 2, c. e = 8, d. e = 2 √ 2, e. ( √ 2 ) / 3", "output": [ "d" ] }, { "id": "task1678-347bd0ac2af047c380b5279bcc2c42d8", "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": "task1678-b1dbcedd92714e66996d5c013d2db0cc", "input": "Problem: what number times ( 1 ⁄ 6 ) ^ 2 will give the value of 6 ^ 3 ?\nOptions: a. 6, b. 36, c. 216, d. 1296, e. 7776", "output": [ "e" ] }, { "id": "task1678-1aa7a30416fc4365b4c76d3b4a590e9a", "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": "task1678-a56e4188c9d1461d929b4f712bbce9da", "input": "Problem: angelo and isabella are both salespersons. in any given week, angelo makes $ 560 in base salary plus 8 percent of the portion of his sales above $ 1,000 for that week. isabella makes 10 percent of her total sales for any given week. for what amount of weekly sales would angelo and isabella earn the same amount of money ?\nOptions: a. 23,500, b. 24,000, c. 25,500, d. 26,500, e. 27,500", "output": [ "b" ] }, { "id": "task1678-6a06c98dc9fe4307b3db768e2b0287d7", "input": "Problem: a can do a piece of work in 16 days. when he had worked for 2 days b joins him. if the complete work was finished in 8 days. in how many days b alone can finish the work ?\nOptions: a. 18, b. 77, c. 66, d. 55, e. 12", "output": [ "e" ] }, { "id": "task1678-06dee4b74c92435fb2756ac6af6613a2", "input": "Problem: what is the normal price of an article sold at $ 72 after two successive discounts of 10 % and 20 % ?\nOptions: a. $ 92, b. $ 96, c. $ 100, d. $ 104, e. $ 108", "output": [ "c" ] }, { "id": "task1678-53a02863c8334fb3b02fbcb9ff399f89", "input": "Problem: during a certain two - week period, 76 percent of the movies rented from a video store were comedies, and of the remaining movies rented, there were 5 times as many dramas as action movies. if no other movies were rented during that two - week period and there were a action movies rented, then how many comedies, in terms of a, were rented during that two - week period ?\nOptions: a. 16 a, b. 19 a, c. 17 a, d. 18 a, e. 20 a", "output": [ "b" ] }, { "id": "task1678-2d9b6af301fe4dda92af8c692ced6b27", "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": "task1678-4acf7d228d2f48ffa74d67718d924710", "input": "Problem: running at their respective constant rates, machine x takes 2 days longer to produce w widgets than machine y. at these rates, if the two machines together produce 5 / 4 w widgets in 3 days, how many days would it take machine x alone to produce 3 w widgets ?\nOptions: a. 4, b. 6, c. 18, d. 10, e. 12", "output": [ "c" ] }, { "id": "task1678-131afb67baae4dd0908504ca63ab69ce", "input": "Problem: joe needs to paint all the airplane hangars at the airport, so he buys 360 gallons of paint to do the job. during the first week, he uses 1 / 4 of all the paint. during the second week, he uses 1 / 3 of the remaining paint. how many gallons of paint has joe used ?\nOptions: a. 18, b. 180, c. 175, d. 216, e. 250", "output": [ "b" ] }, { "id": "task1678-ee659bd8361340e78633673e22f5da4a", "input": "Problem: the cost of 2 chairs and 3 tables is rs. 1400. the cost of 3 chairs and 2 tables is rs. 1200. the cost of each table is more than that of each chair by ?\nOptions: a. 228, b. 287, c. 277, d. 188, e. 200", "output": [ "e" ] }, { "id": "task1678-c90cd54598ca4cdfbb35655510e760cd", "input": "Problem: if a truck is traveling at a constant rate of 108 kilometers per hour, how many seconds will it take the truck to travel a distance of 600 meters ? ( 1 kilometer = 1000 meters )\nOptions: a. 20, b. 24, c. 30, d. 36, e. 48", "output": [ "a" ] }, { "id": "task1678-394df2ebf4304bc99a345d5b3f0e81b5", "input": "Problem: if x + y = 4 and x 2 y 3 + y 2 x 3 = 36, what is the value of xy ?\nOptions: a. 1, b. 2, c. 3, d. 4, e. 5", "output": [ "d" ] }, { "id": "task1678-649cc28b57614d6ea07583acd0430f9c", "input": "Problem: what is the least number that should be added to 1054, so the sum of the number is divisible by 23 ?\nOptions: a. 1, b. 2, c. 3, d. 4, e. 5", "output": [ "d" ] }, { "id": "task1678-ea81cae7eba24ed5bdb545d681a77ef6", "input": "Problem: two bullet trains of equal lengths take 10 seconds and 12 seconds respectively to cross a telegraph post. if the length of each bullet train be 120 metres, in what time ( in seconds ) will they cross each other travelling in opposite direction ?\nOptions: a. 11 sec., b. 15 sec., c. 12 sec., d. 17 sec., e. 19 sec.", "output": [ "a" ] }, { "id": "task1678-e1ec7c99024b4e198f58868332100362", "input": "Problem: if d is the standard deviation a, b, and c, what is the standard deviation of a + 6, b + 6, c + 6 ?\nOptions: a. d, b. 6 d, c. 6 d + 6, d. 6 d + 12, e. 6 d + 18", "output": [ "a" ] }, { "id": "task1678-3aa8d7fe6b194ef6861145dcc771e349", "input": "Problem: 70 % of x is greater than 1 / 3 rd of x by 110. what is x ?\nOptions: a. 100, b. 200, c. 300, d. 350, e. 400", "output": [ "c" ] }, { "id": "task1678-fdac7c0fd5bd4f6399393d89bb1481fc", "input": "Problem: eight machines, each working at the same constant rate, together can complete a certain job in 20 days. how many additional machines, each working at the same constant rate, will be needed to complete the job in 16 days ?\nOptions: a. 4, b. 6, c. 8, d. 10, e. 2", "output": [ "e" ] }, { "id": "task1678-5d779c60f54d4bf9901684e8898bb369", "input": "Problem: in a competitive examination in state a, 6 % candidates got selected from the total appeared candidates. state b had an equal number of candidates appeared and 7 % candidates got selected with 80 more candidates got selected than a. what was the number of candidates appeared from each state ?\nOptions: a. 7000, b. 8000, c. 8800, d. 8900, e. 9000", "output": [ "b" ] }, { "id": "task1678-6c3929087561437ba6e4adddbed78a74", "input": "Problem: the sector of a circle has perimeter of 144 cm and central angle 180 o. find its radius ?\nOptions: a. 25 cm, b. 32 cm, c. 14 cm, d. 28 cm, e. 21 cm", "output": [ "d" ] }, { "id": "task1678-22302f2466434bb7aabcee02b0fab5c3", "input": "Problem: the dimensions of a room are 10 m x 7 m x 5 m. there are 2 doors and 3 windows in the room. the dimensions of the doors are 1 m x 3 m. one window is of size 2 m x 1.5 m and the other 2 windows are of size 1 m x 1.5 m. the cost of painting the walls at rs. 3 per sq m is ?\nOptions: a. rs. 229, b. rs. 429, c. rs. 129, d. rs. 474, e. rs. 111", "output": [ "d" ] }, { "id": "task1678-da808f52147543499f98400480419eb7", "input": "Problem: ravi and kavi start a business by investing â ‚ ¹ 2000 and â ‚ ¹ 72000, respectively. find the ratio of their profits at the end of year.\nOptions: a. 2: 36, b. 5: 36, c. 7: 36, d. 1: 36, e. 3: 36", "output": [ "d" ] }, { "id": "task1678-135d961703254e1ba50c7a608699c900", "input": "Problem: the owner of a furniture shop charges his customer 25 % more than the cost price. if a customer paid rs. 1000 for a computer table, then what was the cost price of the computer table ?\nOptions: a. 620, b. 400, c. 45, d. 500, e. 800", "output": [ "e" ] }, { "id": "task1678-5d3522aafdcd4fd79499f3b75e0c1c01", "input": "Problem: a worker earns $ 20 on the first day and spends $ 15 on the second day. the worker earns $ 20 on the third day and spends $ 15 on the fourth day. if this pattern continues, on which day will the worker first reach a net total of $ 100 ?\nOptions: a. 30, b. 33, c. 35, d. 38, e. 40", "output": [ "b" ] }, { "id": "task1678-4fb1dc0ad4ef48c8a593db499f8a31d8", "input": "Problem: john makes $ 60 a week from his job. he earns a raise and now makes $ 100 a week. what is the % increase ?\nOptions: a. 16 %, b. 66.67 %, c. 17 %, d. 17.61 %, e. 17.56 %", "output": [ "b" ] }, { "id": "task1678-bc7fc410648147c5bbe4f3fb3080e0c1", "input": "Problem: 6 men and 8 women can complete a work in 10 days. 26 men and 48 women can finish the same work in 2 days. 15 men and 20 women can do the same work in - days.\nOptions: a. 4 days, b. 6 days, c. 2 days, d. 8 days, e. 10 days", "output": [ "a" ] }, { "id": "task1678-2eb99d480f9744f7b1b6c898924b3443", "input": "Problem: a farmer has an apple orchard consisting of fuji and gala apple trees. due to high winds this year 10 % of his trees cross pollinated. the number of his trees that are pure fuji plus the cross - pollinated ones totals 153, while 3 / 4 of all his trees are pure fuji. how many of his trees are pure gala ?\nOptions: a. 22, b. 33, c. 55, d. 27, e. 88", "output": [ "d" ] }, { "id": "task1678-04aea02d1a0444138ad76edae730dc37", "input": "Problem: how long does a bus 100 m long traveling at 50 kmph takes to cross a bridge of 150 m in length ?\nOptions: a. 18, b. 16, c. 15, d. 11, e. 12", "output": [ "a" ] }, { "id": "task1678-b17cccf932b54fa992aecfa2de23360c", "input": "Problem: a cistern 5 m long and 4 m wide contains water up to a depth of 1 m 25 cm. the total area of the wet surface is :\nOptions: a. 49 m 2, b. 42.5 m 2, c. 53.5 m 2, d. 55 m 2, e. 57 m 2", "output": [ "b" ] }, { "id": "task1678-241e7073fd6c41499578fd65647b6b22", "input": "Problem: a sun is divided among x, y and z in such a way that for each rupee x gets, y gets 45 paisa and z gets 50 paisa. if the share of y is rs. 63, what is the total amount ?\nOptions: a. 115, b. 273, c. 117, d. 118, e. 119", "output": [ "b" ] }, { "id": "task1678-c4095211a84245e09c18c38743135249", "input": "Problem: find the value of 1 / ( 3 + 1 / ( 3 + 1 / ( 3 - 1 / 3 ) ) )\nOptions: a. 21 / 29, b. 27 / 89, c. 89 / 21, d. 29 / 21, e. none", "output": [ "b" ] }, { "id": "task1678-a920539595a04e71a5e753d03f40c136", "input": "Problem: if a - b = 5 and a 2 + b 2 = 31, find the value of ab.\nOptions: a. 9, b. 2, c. 3, d. 7, e. 12", "output": [ "c" ] }, { "id": "task1678-7b5512e514b84ed9b77339f7103588da", "input": "Problem: if circles x and y have the same area and circle x has a circumference of 18 π, half of the radius of circle y is :\nOptions: a. 16, b. 4.5, c. 4, d. 2, e. 1", "output": [ "b" ] }, { "id": "task1678-1b456790f2ed491cbe694aa6f396d762", "input": "Problem: the present population of a town is 2000. population increase rate is 20 % p. a. find the population of town after 1 years ?\nOptions: a. 1000, b. 2400, c. 1500, d. 1600, e. 1250", "output": [ "b" ] }, { "id": "task1678-cc72ebb537644d999866c58111624a91", "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": "task1678-3aaa030caefc4039a3f4330585ffd599", "input": "Problem: by selling an article for $ 195, a person gains $ 45. what is the gain % ?\nOptions: a. 25 %, b. 30 %, c. 50 %, d. 20 %, e. 10 %", "output": [ "b" ] }, { "id": "task1678-b932078bf8834f608da2bad8afe72a60", "input": "Problem: by selling an article at rs. 600, a profit of 60 % is made. find its cost price ?\nOptions: a. 228, b. 267, c. 375, d. 480, e. 811", "output": [ "c" ] }, { "id": "task1678-cbcb790b98884858b3247edb370e045b", "input": "Problem: ray writes a two digit number. he sees that the number exceeds 4 times the sum of its digits by 3. if the number is increased by 18, the result is the same as the number formed by reversing the digits. find the number.\nOptions: a. 2, b. 5, c. 6, d. 7, e. 8", "output": [ "b" ] }, { "id": "task1678-3ac89d8dade8488da31981aca5dafc5f", "input": "Problem: how many 3 - digit integers between 311 and 401, exclusive, are divisible by 3 when the tens digit and the hundered digit are switched ?\nOptions: a. 30, b. 19, c. 22, d. 3, e. 90", "output": [ "a" ] }, { "id": "task1678-d0d37c81c4d04a6ca30d022b41b18e09", "input": "Problem: the length of a rectangle is reduced by 22 %. by what % would the width have to be increased to maintain the original area ?\nOptions: a. 14 %, b. 15 %, c. 28 %, d. 30 %, e. 35 %", "output": [ "c" ] }, { "id": "task1678-fbe57bb5771c428d867328c4144566d6", "input": "Problem: a can do a piece of work in 28 days and b alone can do it in 10 days. b works at it for 5 days and then leaves. a alone can finish the remaining work in\nOptions: a. 5 days, b. 6 days, c. 7.5 days, d. 14 days, e. 9 days", "output": [ "d" ] }, { "id": "task1678-5eb7ac4ff81649f186d286b95fb96df6", "input": "Problem: if ( x + 3 ) ^ 2 / ( 3 x + 5 ) = 2, then the difference between the two possible values of x is :\nOptions: a. 2, b. 4, c. 6, d. 8, e. 10", "output": [ "a" ] }, { "id": "task1678-10e73673040246c58fe0fbfecd50c03f", "input": "Problem: a train 110 m long is running with a speed of 90 km / h. in how many seconds will the train pass a man who is running at 9 km / h in the direction opposite to that in which the train is going ?\nOptions: a. 3, b. 4, c. 5, d. 6, e. 7", "output": [ "b" ] }, { "id": "task1678-a56db139f2dc4336af6d0eb9b9072ae6", "input": "Problem: the ratio between the length and the breadth of a rectangular park is 2: 3 if a man cycling along the boundary of the park at the speed of 10 km / hr completes one round in 18 min, then the area of the park ( in sq. m ) is ?\nOptions: a. 3000 m, b. 9000 m, c. 540000 m, d. 10000 m, e. 54000 m", "output": [ "c" ] }, { "id": "task1678-cff9fe2298e8418bb0ed57b447c36779", "input": "Problem: a car drives 60 miles on local roads at 20 mph, and 195 miles on the highway at 65 mph, what is the average speed of the entire trip ?\nOptions: a. 36 mph, b. 40 mph, c. 44 mph, d. 43 mph, e. 58 mph", "output": [ "d" ] }, { "id": "task1678-ba72e3bf0f5648d48679a55fcdca722e", "input": "Problem: a number x is mistakenly divided by 10 instead of being multiplied by 10. what is the percentage error in the result ?\nOptions: a. - 99 %, b. - 100 %, c. + 99 %, d. + 100 %, e. none", "output": [ "a" ] }, { "id": "task1678-61cb6e9c584845c4a41b159b1c617473", "input": "Problem: if x > 3000, then the value of ( 1.2 x ) / ( 0.5 x - 406 ) is closest to ?\nOptions: a. 1 / 6, b. 1 / 3, c. 10 / 21, d. 1 / 2, e. 3 / 1", "output": [ "e" ] }, { "id": "task1678-507a0fb3963a479b96a880a1424dc94d", "input": "Problem: a room 5 m 55 cm long and 3 m 74 cm broad is to be paved with square tiles. find the least number of square tiles required to cover the floor ?\nOptions: a. 122, b. 123, c. 828, d. 122, e. 176", "output": [ "e" ] }, { "id": "task1678-f3fc65d786fc4ac6af182b8fd99cae10", "input": "Problem: a train passes a platform in 32 seconds. the same train passes a man standing on the platform in 20 seconds. if the speed of the train is 54 km / hr, the length of the platform is\nOptions: a. 180 meter, b. 240 meter, c. 200 meter, d. 260 meter, e. none of these", "output": [ "a" ] }, { "id": "task1678-19055589ee9047f4a1b72b65378f7636", "input": "Problem: the cost price of an book is 64 % of the marked price. calculate the gain percent after allowing a discount of 12 % ?\nOptions: a. 33 %, b. 28.02 %, c. 37.5 %, d. 30.5 %, e. 22 %", "output": [ "c" ] }, { "id": "task1678-36eae54d554041b0ab2484c4f71facc1", "input": "Problem: how much water must be added to 64 litres of milk at 1 1 ⁄ 2 litres for 20 so as to have a mixture worth 10 2 ⁄ 3 a litre ?\nOptions: a. 16 litres, b. 12 litres, c. 15 litres, d. 18 litres, e. none of these", "output": [ "a" ] }, { "id": "task1678-7c81871c0d7249d58fd86451a3d6332b", "input": "Problem: the ratio between the length and the breadth of a rectangular park is 3: 2. if a man cycling along theoundary of the park at the speed of 12 km / hr completes one round in 8 min, then thearea of the park ( in sq. m ) is ?\nOptions: a. 124545 m, b. 134561 m, c. 156787 m, d. 15450 m, e. 153600 m", "output": [ "e" ] }, { "id": "task1678-25902baa489c43dab458814d443188ad", "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": "task1678-e58fadec83ff43f39367a3b2661c6ecb", "input": "Problem: in a 80 meters race a beats b by 56 m or 7 seconds. a ' s time over the course is :\nOptions: a. 3 seconds, b. 12 seconds, c. 10 seconds, d. 18 seconds, e. 28 seconds", "output": [ "a" ] }, { "id": "task1678-6f307b1d6e9e456f950e80fa0da032b5", "input": "Problem: there are 5 people who can build 5 houses in just 5 days. increase the amount of people to 100. how long would it take these 100 people to build 100 houses ?\nOptions: a. 2 days, b. 3 days, c. 4 days, d. 5 days, e. 1 days", "output": [ "d" ] }, { "id": "task1678-22ff5178ae474887a7b3a6f92afc4f4a", "input": "Problem: the smallest number which when diminished by 2, is divisible by 12, 16, 18, 21 and 28 is\nOptions: a. 1008, b. 1010, c. 1022, d. 1032, e. 1043", "output": [ "b" ] }, { "id": "task1678-9c5848c8d6bc42d0be16381fd349a07e", "input": "Problem: 45 workers work 8 hours to dig a hole 30 meters deep. how many extra workers should be hired to dig another hole 55 meters deep by working for 6 hours ?\nOptions: a. 50, b. 55, c. 60, d. 65, e. 70", "output": [ "d" ] }, { "id": "task1678-fd8231cb9c9a416b91b4e26842baad22", "input": "Problem: the length of the bridge, which a train 150 metres long and travelling at 54 km / hr can cross in 30 seconds, is ?\nOptions: a. 340 m., b. 350 m., c. 320 m., d. 330 m., e. 360 m.", "output": [ "c" ] }, { "id": "task1678-ff7443c571f44a6495e283a70ca52aea", "input": "Problem: a train 700 m long is running at a speed of 78 km / hr. if it crosses a tunnel in 1 min, then the length of the tunnel is ?\nOptions: a. 288 m, b. 256 m, c. 600 m, d. 278 m, e. 287 m", "output": [ "c" ] }, { "id": "task1678-2b23ff3ceee14c1fbc2c6ce1496b76ef", "input": "Problem: in a new housing development, trees are to be planted along the sidewalk of a certain street. each tree takes up one square foot of sidewalk space, and there are to be 12 feet between each tree. how many trees can be planted if the road is 157 feet long ?\nOptions: a. 8, b. 9, c. 10, d. 11, e. 13", "output": [ "e" ] }, { "id": "task1678-f5cc9b2c5aca4295a91fb662dea6275f", "input": "Problem: how many integers from 0 to 56, inclusive, have a remainder of 1 when divided by 3 ?\nOptions: a. 15, b. 16, c. 17, d. 18, e. 19", "output": [ "e" ] }, { "id": "task1678-f5abf5ecb5dd43c7a188cf6402d865a9", "input": "Problem: a train 360 m long runs with a speed of 45 km / hr. what time will it take to pass a platform of 150 m long ?\nOptions: a. 38 sec, b. 35 sec, c. 44 sec, d. 40.8 sec, e. none of these", "output": [ "d" ] }, { "id": "task1678-11e176d43c4b4134af0e700e6b00d48b", "input": "Problem: the mean proportional between 4 and 16 is ?\nOptions: a. 12, b. 13, c. 14, d. 15, e. 16", "output": [ "e" ] }, { "id": "task1678-b6f98547221a454683c9bb97091fa782", "input": "Problem: two brother x and y appeared for an exam. the probability of selection of x is 1 / 3 and that of b is 2 / 7. find the probability that both of them are selected.\nOptions: a. 2 / 69, b. 2 / 21, c. 2 / 23, d. 2 / 29, e. 2 / 10", "output": [ "b" ] }, { "id": "task1678-9a788476d4a74007a6f8b47753fcb83a", "input": "Problem: if a speaks the truth 60 % of the times, b speaks the truth 50 % of the times. what is the probability that at least one will tell the truth\nOptions: a. 0.8, b. 0.9, c. 1.0, d. 1.2, e. 1.3", "output": [ "a" ] }, { "id": "task1678-de1fc4b4348d4ea2b3ffad91771fd8d3", "input": "Problem: meena wrote all the numbers from 1 to 29,999 inclusive. how many digits did she write in total ?\nOptions: a. 118,889, b. 138,889, c. 159,889, d. 188,789, e. 188,989", "output": [ "b" ] }, { "id": "task1678-2e8fba7e30c7499a84badb9f7a71cc8b", "input": "Problem: a box contains 22 electric bulbs, out of which 4 are defective. two bulbs are chosen at random from this box. the probability that at least one of these is defective is\nOptions: a. 4 / 19, b. 7 / 19, c. 12 / 19, d. 21 / 99, e. 26 / 77", "output": [ "e" ] }, { "id": "task1678-067bb350c805429daa3068b54753e1bd", "input": "Problem: the events a and b are independent, the probability that event a occurs is greater than 0, and the probability that event a occurs is twice the probability that event b occurs. the probability that at least one of events a and b occurs is 8 times the probability that both events a and b occur. what is the probability that event a occurs ?\nOptions: a. 1 / 12, b. 1 / 8, c. 1 / 6, d. 1 / 3, e. 2 / 3", "output": [ "d" ] }, { "id": "task1678-fe2aecdcb35647ca8cef879c61973913", "input": "Problem: if - 2 and - 3 are negative integers, then - 2 * - 3 + 2 is\nOptions: a. - 5, b. 8, c. - 6, d. - 3, e. - 8", "output": [ "b" ] }, { "id": "task1678-81356d5cb3614d1da3396521ffc8782a", "input": "Problem: a can give b 50 meters start and c 100 meters start in a kilometer race. how much start can b give c in a kilometer race ?\nOptions: a. 111.12, b. 111.67, c. 111.64, d. 52.63, e. 101.12", "output": [ "d" ] }, { "id": "task1678-21b773408ef84dd1b1b0d8c20750231a", "input": "Problem: a train covers a distance of 100 km in 1 hour. if its speed is decreased by 10 km / hr, the time taken by the car to cover the same distance will be ?\nOptions: a. 1 hr, b. 1 hr 6 min, c. 50 min, d. 1 hr 30 min, e. 1 hr 45 min", "output": [ "b" ] }, { "id": "task1678-a2edd28a303d4b89bfec481fd95ec8a6", "input": "Problem: if s = x ^ 4 + y ^ 4 = 100, then the greatest possible value of x is between\nOptions: a. 0 and 3, b. 3 and 6, c. 6 and 9, d. 9 and 12, e. 12 and 15", "output": [ "b" ] }, { "id": "task1678-e95639b13b8c4902a023d5758fc89004", "input": "Problem: a, b and c play a cricket match. the ratio of the runs scored by them in the match is a: b = 2: 3 and b: c = 2: 5. if the total runs scored by all of them are 100, the runs scored by b are ?\nOptions: a. 24, b. 18, c. 13, d. 17, e. 12", "output": [ "a" ] }, { "id": "task1678-bfb30a8e5e3c4420a568ed0e37f80e29", "input": "Problem: a train 100 m long crosses a platform 125 m long in 1 sec; find the speed of the train ?\nOptions: a. 810, b. 700, c. 930, d. 100, e. 200", "output": [ "a" ] }, { "id": "task1678-55deb5af791d4cdb95b6cc45434b9303", "input": "Problem: if [ x ] is the greatest integer less than or equal to x, what is the value of [ - 2.6 ] + [ 1.4 ] + [ 2.7 ] ?\nOptions: a. 0, b. 1, c. 2, d. 6, e. 7", "output": [ "a" ] }, { "id": "task1678-7ac09d2306a440f2a7ca6ff003211cf2", "input": "Problem: if i equals the sum of the even integers from 2 to 200, inclusive, and k equals the sum of the even integers from 20 to 200, inclusive, what is the value of i - k ?\nOptions: a. 10, b. 99, c. 9, d. 88, e. 90", "output": [ "e" ] }, { "id": "task1678-0dcd384fffe44a6784f2e179bb3cf881", "input": "Problem: by selling 32 pencils for a rupee a man loses 60 %. how many for a rupee should he sell in order to gain 60 % ?\nOptions: a. 10, b. 9, c. 8, d. 6, e. 4", "output": [ "a" ] }, { "id": "task1678-67e5973804db4532bb00914f8d8399f0", "input": "Problem: how many seconds will a 800 meter long train moving with a speed of 63 km / hr take to cross a man walking with a speed of 3 km / hr in the direction of the train ?\nOptions: a. 48, b. 52, c. 38, d. 42, e. 45", "output": [ "a" ] }, { "id": "task1678-15531355b57f4b91a8253835bbc3e19b", "input": "Problem: if a - b = 8 and a ^ 2 + b ^ 2 = 164, find the value of ab\nOptions: a. 10, b. 12, c. 50, d. 18, e. 19", "output": [ "c" ] }, { "id": "task1678-f788e756fcda4f6c95f6cee428a882fc", "input": "Problem: a sum fetched a total simple interest of rs. 929.20 at the rate of 8 p. c. p. a. in 5 years. what is the sum ?\nOptions: a. 2323, b. 1223, c. 2563, d. 1853, e. 2353", "output": [ "a" ] }, { "id": "task1678-82e23b8ce79444d8b93336d786f98af2", "input": "Problem: ? % of 360 = 151.2\nOptions: a. 42, b. 36, c. 64, d. 72, e. none of these", "output": [ "a" ] }, { "id": "task1678-2b93aac387cd4c70b7d28bbf734ef267", "input": "Problem: the radius of a wheel is 22.5 cm. what is the distance covered by the wheel in making 500 resolutions ?\nOptions: a. 708 m, b. 707.14 m, c. 774 m, d. 714 m, e. 744 m", "output": [ "b" ] }, { "id": "task1678-f53490c22f5e4cec862b56ec8f2d46ef", "input": "Problem: jane makes toy bears. when she works with an assistant, she makes 89 percent more bears per week and works 10 percent fewer hours each week. having an assistant increases jane ’ s output of toy bears per hour by what percent ?\nOptions: a. 20 %, b. 80 %, c. 110 %, d. 180 %, e. 200 %", "output": [ "c" ] }, { "id": "task1678-42dd3d4de9f94ffc9e5d39b36a829182", "input": "Problem: how many cubes of 10 cm edge can be put in a cubical box of 1 m edge ?\nOptions: a. 1, b. 10, c. 100, d. 1000, e. none", "output": [ "d" ] }, { "id": "task1678-5447c14347ae47319c630bebb6e2919d", "input": "Problem: 12 men work 8 hours per day to complete the work in 10 days. to complete the same work in 8 days, working 15 hours a day, the number of men required ?\nOptions: a. 8 days, b. 9 days, c. 11 days, d. 13 days, e. 15 days", "output": [ "a" ] }, { "id": "task1678-90a47c7e2e1b4ccf902ca9000b8a9d7c", "input": "Problem: if a man lost 10 % by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44 % ?\nOptions: a. 6.5, b. 7.5, c. 7, d. 8, e. 2", "output": [ "b" ] }, { "id": "task1678-8835bf8e62eb4fdd9f0d77e32cdc5a71", "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": "task1678-b374c46718c8407fa649cf12549c5d14", "input": "Problem: a canteen requires 13 dozen bananas per day. how many bananas will it require for 9 weeks ?\nOptions: a. 728, b. 9828, c. 1404, d. 9882, e. none", "output": [ "d" ] }, { "id": "task1678-1be4ad972f014ea5a65f3640195aac02", "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": "task1678-4f3d3b5d24cc400c9d20b50beed7cba9", "input": "Problem: the perimeter of a rectangular yard is completely surrounded by a fence that measures 36 meters. what is the length of the yard if the area of the yard is 40 meters squared ?\nOptions: a. 12, b. 10, c. 8, d. 14, e. 16", "output": [ "c" ] }, { "id": "task1678-d55854391450434583857a072c2d66d1", "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": "task1678-a19c88d69fe04f70b522478f740fd95a", "input": "Problem: a large box contains 20 small boxes and each small box contains 32 chocolate bars. how many chocolate bars are in the large box ?\nOptions: a. a. 220, b. b. 490, c. c. 380, d. d. 450, e. e. 640", "output": [ "e" ] }, { "id": "task1678-1773fa693a414857bf223a4e74f806e2", "input": "Problem: how many digits are in ( 8 × 10 ^ 12 ) ( 10 × 10 ^ 9 ) ?\nOptions: a. 20, b. 23, c. 26, d. 27, e. 28", "output": [ "b" ] }, { "id": "task1678-3a962aef605048b5a3bcff261a6a7c7a", "input": "Problem: pipe a fills a swimming pool in 4 hours. pipe b empties the pool in 6 hours. if pipe a was opened at 6: 00 am and pipe b at 7: 00 am, at what time will the pool be full ?\nOptions: a. 14: 00, b. 15: 00, c. 13: 00, d. 16: 00, e. 17: 00", "output": [ "d" ] }, { "id": "task1678-45f9e2a283554e4cb4c9077d5a7fc857", "input": "Problem: in a mayoral election, candidate x received 1 / 2 more votes than candidate y, and candidate y received 2 / 5 fewer votes than z. if z received 25000 votes how many votes did candidate x received ?\nOptions: a. 18000, b. 22500, c. 24000, d. 26000, e. 32000", "output": [ "b" ] }, { "id": "task1678-117fc234acef4b109a08114c769d377d", "input": "Problem: a train 800 m long can cross a pole in 10 sec and then find the speed of the train ?\nOptions: a. 280, b. 282, c. 284, d. 286, e. 288", "output": [ "e" ] }, { "id": "task1678-05c14d5c6e754c3d8f8c0cdff159fd60", "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": "task1678-50690380544d4a44a5a78be43ff56f06", "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": "task1678-1ad2d79d2c5b4f6e83050c6c1e005a7c", "input": "Problem: if the average ( arithmetic mean ) of a and b is 45 and the average of b and c is 80, what is the value of c − a ?\nOptions: a. 25, b. 60, c. 90, d. 140, e. it can not be determined from the information given.", "output": [ "b" ] }, { "id": "task1678-4d432bb03e5844bb9eaca6c587966f4d", "input": "Problem: a string of 30 light bulbs is wired in such a way that if any individual light bulb fails, the entire string fails. if for each individual light bulb the probability of failing during time period t is 0.1, what is the probability that the string of light bulbs will fail during the time period t ?\nOptions: a. 0.1, b. ( 0.1 ) ^ 30, c. 1 - ( 0.1 ) ^ 30, d. ( 0.93 ) ^ 30, e. 1 - ( 0.90 ) ^ 30", "output": [ "e" ] }, { "id": "task1678-f883ab6dc43d4eedbd887d8861b42269", "input": "Problem: the “ length of integer x ” refers to the number of prime factors, not necessarily distinct, that x has. ( if x = 60, the length of x would be 4 because 60 = 2 × 2 × 3 × 5. ) what is the greatest possible length of integer z if z < 800 ?\nOptions: a. 13, b. 10, c. 9, d. 7, e. 6", "output": [ "c" ] }, { "id": "task1678-c3add9da81c04389a5efd1ce76e709d3", "input": "Problem: an association of mathematics teachers has 1,260 members. only 560 of these members cast votes in the election for president of the association. what percent of the total membership voted for the winning candidate if the winning candidate received 60 percent of the votes cast ?\nOptions: a. 75 %, b. 26.67 %, c. 42 %, d. 34 %, e. 25 %", "output": [ "b" ] }, { "id": "task1678-bb5a83bb56d4441b9f05163b1826236c", "input": "Problem: the circumference of the front wheel of a cart is 30 ft long and that of the back wheel is 32 ft long. what is the distance traveled by the cart, when the front wheel has done five more revolutions than the rear wheel ?\nOptions: a. 20 ft, b. 25 ft, c. 750 ft, d. 900 ft, e. 2400 ft", "output": [ "e" ] }, { "id": "task1678-1686a01783b141a0bc6826a4f4435493", "input": "Problem: for a certain art exhibit, a museum sold admission tickets to a group of 30 people every 5 minutes from 9: 00 in the morning to 4: 55 in the afternoon, inclusive. the price of a regular admission ticket was $ 10 and the price of a student ticket was $ 6. if on one day 3 times as many regular admission tickets were sold as student tickets, what was the total revenue from ticket sales that day ?\nOptions: a. $ 24960, b. $ 25920, c. $ 28080, d. $ 28500, e. $ 29160", "output": [ "b" ] }, { "id": "task1678-6e2376e49a224559b678c134b40dd206", "input": "Problem: during a car trip, maria stopped to rest after she traveled 1 / 2 of the total distance to her destination. she stopped again after she traveled 1 / 4 of the distance remaining between her first stop and her destination, and then she drove the remaining 105 miles to her detination. what was the total distance, in miles from maria ' s starting point to her destination ?\nOptions: a. 280, b. 320, c. 360, d. 420, e. 480", "output": [ "a" ] }, { "id": "task1678-8323e280b3b24bef89b085651b3b222c", "input": "Problem: a can do a job in 20 days and b can do it in 30 days. a and b working together will finish thrice the amount of work in - - - - - - - days ?\nOptions: a. 22 days, b. 22 days, c. 36 days, d. 72 days, e. 24 days", "output": [ "c" ] }, { "id": "task1678-f1596850c0314d9f9ee30ed37c710483", "input": "Problem: if 2 / 3 rd of the contents of a container evaporated on the 1 st day. and 1 / 4 th of the remaining evaporated on the second day. what part of the contents of the container is left at the end of the second day ?\nOptions: a. 1 / 4, b. 1 / 12, c. 1 / 18, d. 1 / 6, e. 1 / 2", "output": [ "d" ] }, { "id": "task1678-b68f13efd0d34c65a6f295ab05aadc1c", "input": "Problem: the average of first 7 prime numbers is ?\nOptions: a. 10.11, b. 11.11, c. 8.29, d. 13.11, e. 14.11", "output": [ "c" ] }, { "id": "task1678-1858371f80db4b169f796a7e22433150", "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": "task1678-6237a16c42b841a1b78fd24d39e40b1d", "input": "Problem: if pintu is coded as 79523 in a certain code language, how would you code dumbo in the same language ?\nOptions: a. 43426, b. 14236, c. 13436, d. 14263, e. 15263", "output": [ "a" ] }, { "id": "task1678-936c42bdf706402ab252d4999fc1739b", "input": "Problem: a, b, c can complete a piece of work in 3,9 and 15 days respectively. working together, they will complete the same work in how many days ?\nOptions: a. 45 / 23, b. 55 / 23, c. 61 / 57, d. 12 / 13, e. 22 / 23", "output": [ "a" ] }, { "id": "task1678-935ddaca1ffe4a5ca4799dc0eed497dd", "input": "Problem: in a group of cows and chickens, the number of legs was 12 more than twice the number of heads. the number of cows was :\nOptions: a. 6, b. 7, c. 10, d. 12, e. 14", "output": [ "a" ] }, { "id": "task1678-533c77ac92a84432b8b2175ab479ec1c", "input": "Problem: a store reported total sales of $ 385 million for february of this year. if the total sales for the same month last year was $ 320 million, approximately what was the percent increase in sales ?\nOptions: a. 2 %, b. 17 %, c. 20 %, d. 65 %, e. 83 %", "output": [ "c" ] }, { "id": "task1678-1b9ebfec019e4841bc5363178a87f938", "input": "Problem: if a - b = 3 and a ^ 2 + b ^ 2 = 29, find the value of ab.\nOptions: a. 5, b. 10, c. 12, d. 14, e. 15", "output": [ "b" ] }, { "id": "task1678-033457cb59bf40b1919c1ed373f0e28e", "input": "Problem: a man is 24 years older than his son. in six years, his age will be twice the age of his son. the present age of the son is\nOptions: a. 14 years, b. 28 years, c. 20 years, d. 22 years, e. none", "output": [ "e" ] }, { "id": "task1678-caadbb1f61724d72bc71695acfd77f88", "input": "Problem: for what value of x between − 7 and 7, inclusive, is the value of x ^ 2 − 10 x + 16 the greatest ?\nOptions: a. − 7, b. − 2, c. 0, d. 2, e. 7", "output": [ "a" ] }, { "id": "task1678-17a2f9f3935340dcbfa1dc8610e3d887", "input": "Problem: the sum of all two digit numbers divisible by 6 is\nOptions: a. 910, b. 510, c. 710, d. 610, e. 810", "output": [ "e" ] }, { "id": "task1678-840460eac1ee46ceab9cc8f6f2370129", "input": "Problem: students at a school were on average 180 cm tall. the average female height was 170 cm, and the average male height was 182 cms. what was the ratio of men to women ?\nOptions: a. 5: 2, b. 5: 1, c. 4: 3, d. 4: 1, e. 3: 1", "output": [ "b" ] }, { "id": "task1678-8143d8c423a94066b23c37e5358b27e0", "input": "Problem: ages of two persons differ by 14 years. if 6 year ago, the elder one be 3 times as old the younger one, find their present age\nOptions: a. 12,28, b. 13,27, c. 16,32, d. 18,34, e. 19,34", "output": [ "b" ] }, { "id": "task1678-fbf1c91d8fd045b680d12464d67e235e", "input": "Problem: the price of a coat in a certain store is $ 500. if the price of the coat is to be reduced by $ 400, by what percent is the price to be reduced ?\nOptions: a. 10 %, b. 15 %, c. 20 %, d. 25 %, e. 80 %", "output": [ "e" ] }, { "id": "task1678-61fcd660f21548fb8b7311c49d2fbe73", "input": "Problem: convert 2.3 hectares in ares\nOptions: a. 130 ares., b. 160 ares., c. 180 ares., d. 230 ares., e. 250 ares.", "output": [ "d" ] }, { "id": "task1678-42c4559a35704f5683f8acc40b33818d", "input": "Problem: jack has two dice, one has 6 equally probable sides, labeled 1, 2, 3, 4, 5, 6, and the other has 7 equally probable sides, labeled 1, 2, 3, 4, 5, 6, 7. if jack rolls both dice what is the probability that both of the number ' s sum will be 13 ?\nOptions: a. 3 / 14, b. 2 / 7, c. 1 / 3, d. 1 / 42, e. 12 / 21", "output": [ "d" ] }, { "id": "task1678-173994c9729943fb8fe5b88b73a8eadc", "input": "Problem: calculate how many seconds it will take for 4 bells to toll together again, given that they begin to toll together respectively at the intervals of 9, 12, 15 and 18 seconds ?\nOptions: a. 186, b. 130, c. 180, d. 181, e. 120", "output": [ "c" ] }, { "id": "task1678-16400c8542244c02a138f38b5a9e7836", "input": "Problem: if a = 105 and a ^ 3 = 21 * 25 * 315 * b, what is the value of b ?\nOptions: a. 35, b. 7, c. 45, d. 49, e. 54", "output": [ "b" ] }, { "id": "task1678-f249372029ac45a5b6ac275eafd0193c", "input": "Problem: boy sells a book for rs. 540 he gets a loss of 10 %, to gain 10 %, what should be the sp ?\nOptions: a. 430, b. 450, c. 550, d. 590, e. 660", "output": [ "e" ] }, { "id": "task1678-534bed354b1d4d0d8d3071375d21ca56", "input": "Problem: xavier, yvonne, and zelda each try independently to solve a problem. if their individual probabilities for success are 1 / 3, 1 / 2 and 5 / 8, respectively, what is the probability that xavier and yvonne, but not zelda, will solve the problem ?\nOptions: a. 1 / 16, b. 7 / 8, c. 9 / 64, d. 5 / 64, e. 3 / 64", "output": [ "a" ] }, { "id": "task1678-5e98c3c72d6e42529ae72040237c279b", "input": "Problem: a sum of money is put out at compound interest for 2 years at 20 %. it would fetch rs. 723 more if the interest were payable half - yearly, then it were pay able yearly. find the sum.\nOptions: a. 22200, b. 21897, c. 28799, d. 30000, e. 32782", "output": [ "d" ] }, { "id": "task1678-3806c185d5e54527adca0e6717455948", "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": "task1678-57f3c675cad247199bc3a46959810d72", "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": "task1678-19c61ca2983d462598d6b92dd1a6b237", "input": "Problem: in what time will a train 240 metres long cross an electric pole, if its speed be 126 km / hr ?\nOptions: a. 6.75 sec, b. 6.85 sec, c. 6.55 sec, d. 6.44 sec, e. 7.85 sec", "output": [ "b" ] }, { "id": "task1678-71c1c42155964b1b84a298fece5c99c9", "input": "Problem: a tourist does not have to pay tax on the first $ 600 of goods he purchases in country b, but does have to pay a 7 percent tax on the portion of the total value that is in excess of $ 600. what tax must be paid by a tourist if he buys goods with a total value of $ 1720 ?\nOptions: a. $ 54.00, b. $ 78.40, c. $ 90.00, d. $ 100.80, e. $ 154.80", "output": [ "b" ] }, { "id": "task1678-fac402fd105843c388254c0623b68860", "input": "Problem: how long does a train 110 m long travelling at 60 kmph takes to cross a bridge of 200 m in length ?\nOptions: a. 18.6 sec, b. 14.9 sec, c. 12.4 sec, d. 16.8 sec, e. 11.8 sec", "output": [ "a" ] }, { "id": "task1678-396a3cb2ca7440c6a8ad3ae9030c1883", "input": "Problem: excepting ‘ seldom ’ which means – rarely, infrequently and not often, is the antonym.\nOptions: a. 22, b. 278, c. 267, d. 176, e. 971", "output": [ "d" ] }, { "id": "task1678-3b02954be31b4d8d81b7dc563bceb025", "input": "Problem: if y is the smallest positive integer such that 7350 multiplied by y is the square of an integer, then y must be\nOptions: a. 2, b. 5, c. 6, d. 7, e. 14", "output": [ "c" ] }, { "id": "task1678-a1964654550e485fbf9ea63ef4553b59", "input": "Problem: simplify: 0.6 * 0.6 + 0.6 * 0.6\nOptions: a. 0.52, b. 0.42, c. 0.48, d. 0.64, e. 0.46", "output": [ "e" ] }, { "id": "task1678-b164ab39b00a4e8d97e745c365c3b69e", "input": "Problem: two pipes a and b can fill a tank in 24 minutes and 32 minutes respectively. if both the pipes are opened simultaneously, after how much time should b be closed so that the tank is full in 18 minutes ?\nOptions: a. 7 minute, b. 9 minute, c. 10 minute, d. 8 minute, e. 11 minute", "output": [ "d" ] }, { "id": "task1678-1644ce710b104c21b22f12e2af51e486", "input": "Problem: the average height of 35 boys in a class was calculated as 181 cm. it has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm. find the actual average height of the boys in the class ( round off your answer to two decimal places ?\nOptions: a. 187.89 cm, b. 179.29 cm, c. 123.98 cm, d. 149.98 cm, e. 146.89 cm", "output": [ "b" ] }, { "id": "task1678-081c3498b3004181be200a13ef531610", "input": "Problem: in an election between the two candidates, the candidates who gets 70 % of votes polled is winned by 280 vote ’ s majority. what is the total number of votes polled ?\nOptions: a. 750, b. 700, c. 800, d. 850, e. none of these", "output": [ "b" ] }, { "id": "task1678-46fe121a1bc9484488b81856bc87db3d", "input": "Problem: a dishonest dealer professes to sell goods at the cost price but uses a weight of 990 grams per kg, what is his percent ?\nOptions: a. 1.01 %, b. 25 %, c. 22 %, d. 29 %, e. 45 %", "output": [ "a" ] }, { "id": "task1678-f30b2dd473544564b81d76c75a3a55ea", "input": "Problem: a factory that employs 1000 assembly line workers pays each of these workers $ 5 per hour for the first 40 hours worked during a week and 1 ½ times that rate for hours worked in excess of 40. what was the total payroll for the assembly - line workers for a week in which 30 percent of them worked 30 hours, 50 percent worked 40 hours, and the rest worked 50 hours ?\nOptions: a. $ 180,000, b. $ 185,000, c. $ 190,000, d. $ 200,000, e. $ 205,000", "output": [ "d" ] }, { "id": "task1678-1e1be56945b4474a8d94ce3d22b79f5b", "input": "Problem: 50 % of x is greater than 1 / 3 rd of x by 110. what is x ?\nOptions: a. 100, b. 200, c. 300, d. 350, e. 660", "output": [ "e" ] }, { "id": "task1678-62d90d29a3884396af702b17d7f3b42c", "input": "Problem: the bases of a hemisphere and a cone are equal. if their heights are also equal then ratio between their curved surface area is —\nOptions: ['a. 1: √ 2', 'b. √ 2 ∶ 1', 'c. 1: 2', 'd. 2: 1', 'e. none of these']", "output": [ "b" ] }, { "id": "task1678-95c1eb0001634067b59623ab99cf43d9", "input": "Problem: the average age of a, b and c is 26 years. if the average age of a and c is 29 years, what is the age of b in years ?\nOptions: a. 19, b. 35, c. 20, d. 32, e. 21", "output": [ "c" ] }, { "id": "task1678-1c53684ac11a4f64879ea119a18e44c6", "input": "Problem: a solution contains 8 parts of water for every 7 parts of lemonade syrup. how many parts of the solution should be removed and replaced with water so that the solution will now contain 25 % lemonade syrup ?\nOptions: a. 1.5, b. 1.75, c. 2.14, d. 2.34, e. 2.64", "output": [ "c" ] }, { "id": "task1678-0e5673da3cd34cc3917211a919ae2b99", "input": "Problem: in what time will a train 175 m long cross an electric pole, it its speed be 180 km / hr ?\nOptions: a. 7.5, b. 6.5, c. 5.5, d. 4.5, e. 3.5", "output": [ "e" ] }, { "id": "task1678-e7522b98ade4466287e6e47554d7a69d", "input": "Problem: 80 % of the population of a village is 64000. the total population of the village is ?\nOptions: a. 26799, b. 24000, c. 80000, d. 29973, e. 12312", "output": [ "c" ] }, { "id": "task1678-254318dfe7c24922bdc93549bec9045f", "input": "Problem: the sum of 33 consecutive integers is 3333. what is the greatest integer in the set ?\nOptions: a. 113, b. 115, c. 117, d. 119, e. 121", "output": [ "c" ] }, { "id": "task1678-5cd0c69a03fd484f8df894c64f921511", "input": "Problem: the perimeter of a triangle is 42 cm and the inradius of the triangle is 5.0 cm. what is the area of the triangle ?\nOptions: a. 128 cm 2, b. 36.0 cm 2, c. 105 cm 2, d. 25 cm 2, e. 135 cm 2", "output": [ "c" ] }, { "id": "task1678-c70570fdd3344f649b503fc492b0f797", "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": "task1678-39f27f691dca49379ba20c3f5cbdcde1", "input": "Problem: company c sells a line of 20 products with an average retail price of $ 1,200. if none of these products sells for less than $ 400, and exactly 10 of the products sell for less than $ 1,000, what is the greatest possible selling price of the most expensive product ?\nOptions: a. 12000, b. 11000, c. 10000, d. 13000, e. 15000", "output": [ "b" ] }, { "id": "task1678-066cb99de49c4c0184703d6e3731b257", "input": "Problem: the total age of a and b is 12 year more than the total age of b and c. c is how many years younger than a ?\nOptions: a. 12, b. 24, c. data inadequate, d. none of these, e. 34", "output": [ "a" ] }, { "id": "task1678-28e43d5076af4e62889b56a3aa28eaaa", "input": "Problem: the length of a rectangular plot is thrice its breadth. if the area of the rectangular plot is 867 sq m, then what is the breadth of the rectangular plot ?\nOptions: ['a. 19 m', 'b. 17 m', 'c. 10 m', 'd. 12 m', 'e. 18 m']", "output": [ "b" ] }, { "id": "task1678-650abb0e20d7472fbda2b980d1ee98c3", "input": "Problem: in a fuel station the service costs $ 1.05 per car, every liter of fuel costs 0.6 $. assuming that you fill up 3 mini - vans and 2 trucks, how much money will the fuel cost to all the cars owners total, if a mini - van ' s tank is 65 liters and a truck ' s tank is 120 % bigger and they are all empty - ?\nOptions: a. 122.6 $, b. 128.9 $, c. 243.7 $, d. 293.85 $, e. 312.12 $", "output": [ "d" ] }, { "id": "task1678-fe618b2f9820421fadff5b8a4a677afa", "input": "Problem: how many liters of a 40 % iodine solution need to be mixed with 35 liters of a 20 % iodine solution to create a 34 % iodine solution ?\nOptions: a. 35, b. 49, c. 100, d. 105, e. 136", "output": [ "e" ] }, { "id": "task1678-b774e2a77b434123ad7e405a3695a273", "input": "Problem: a car runs 375 km in 3 hours. what ' s the car ' s speed ?\nOptions: a. 124, b. 125, c. 126, d. 127, e. none", "output": [ "b" ] }, { "id": "task1678-a9f33626589646df8478f5f3abb7e90f", "input": "Problem: two men a and b working together complete a piece of work which it would have taken them respectively 12 and 18 days to complete if they worked separately. they received rs. 149.25 as their payment. find the share of a in the amount they received ?\nOptions: a. rs. 89.55, b. rs. 59.70, c. rs. 85.56, d. rs. 88.56, e. none of these", "output": [ "a" ] }, { "id": "task1678-695d5db108104290b7af8292c8351adc", "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": "task1678-8dedbf029d03494e80cf0d69fa80c47e", "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": "task1678-46f7feff8a5f402db0f9505e93107e66", "input": "Problem: how many times digit 5 is used while writing numbers from 1 to 500 ?\nOptions: a. 103, b. 98, c. 94, d. 105, e. 100", "output": [ "e" ] }, { "id": "task1678-9386e31f8d9144d894cc9e1c05af9b11", "input": "Problem: there are 50 students in a class. if 14 % are absent on a particular day, find the number of students present in the class.\nOptions: a. 43, b. 36, c. 28, d. 129, e. 11", "output": [ "a" ] }, { "id": "task1678-08578ce17ebd4cde8461cd34b59c7eaf", "input": "Problem: excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 31 kmph. of how many minutes does the train stop per hour ?\nOptions: a. 18.6, b. 27, c. 12, d. 121, e. 28", "output": [ "a" ] }, { "id": "task1678-e898d29dbbd84ef5bf8c5cec48680903", "input": "Problem: audrey 4 hours to complete a certain job. ferris can do the same job in 3 hours. audrey and ferris decided to collaborate on the job, working at their respective rates. while audrey worked continuously, ferris took 2 breaks of equal length. if the two completed the job together in 2 hours, how many minutes long was each of ferris ’ breaks ?\nOptions: a. 5, b. 15, c. 17, d. 20, e. 25", "output": [ "b" ] }, { "id": "task1678-cf8f220611db43a782d10ee7b18966db", "input": "Problem: 5358 x 71 = ?\nOptions: a. 273762, b. 283758, c. 383298, d. 273258, e. 380418", "output": [ "e" ] }, { "id": "task1678-2955e3bd8a5a482e896b36e4be9e051b", "input": "Problem: a swimmer can swim in still water at 4 km / h. if the speed of the water current is 1 km / h, how many hours will the swimmer take to swim against the current for 6 km ?\nOptions: a. 1.2, b. 1.4, c. 1.6, d. 1.8, e. 2", "output": [ "e" ] }, { "id": "task1678-0d3ccddd50e340b7a995c306ffc9b3a8", "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": "task1678-2f2f408159d943d1bc730c2af693054e", "input": "Problem: calculate how long it will take a swimmer to swim a distance of 12 km against the current of a river which flows at 1.2 km / hr, given that he can swim in still water at 5 km / h\nOptions: a. 3.26, b. 3.16, c. 2.34, d. 3.98, e. 3.17", "output": [ "b" ] }, { "id": "task1678-718530a6a4b645a188f1e3051c111809", "input": "Problem: the ratio of the volumes of two cubes is 1331: 2197. what is the ratio of their total surface areas ?\nOptions: a. 121: 169, b. 169: 122, c. 81: 124, d. 81: 126, e. 81: 129", "output": [ "a" ] }, { "id": "task1678-17af8777969049bc86eb5d0cc7c8b8ec", "input": "Problem: find the value of ( 100 + 20 / 90 ) × 90\nOptions: a. 4520, b. 9100, c. 9150, d. 8120, e. 9020", "output": [ "e" ] }, { "id": "task1678-80dd1fa37fdb4f4cb6753d650c027415", "input": "Problem: a student chose a number, multiplied it by 2, then subtracted 138 from the result and got 112. what was the number he chose ?\nOptions: a. 123, b. 267, c. 125, d. 267, e. 120", "output": [ "c" ] }, { "id": "task1678-555719fd356949398dd54e8d30d79824", "input": "Problem: a train which has 500 m long, is running 100 kmph. in what time will it cross a person moving at 10 kmph in same direction ?\nOptions: a. 20 sec, b. 25 sec, c. 30 sec, d. 35 sec, e. 40 sec", "output": [ "a" ] }, { "id": "task1678-7a98330f13c24be09628923bf24cb800", "input": "Problem: how many multiples of 3 are there between 15 and 246 ?\nOptions: a. 128, b. 94, c. 89, d. 76, e. 60", "output": [ "d" ] }, { "id": "task1678-6543d0f1fc1e4d37a9a58ae061321b26", "input": "Problem: the area of a square land is a square feet and the perimeter is p feet. if 5 a = 10 p + 45, what is the perimeter of the land, in feet ?\nOptions: ['a. 18', 'b. 56', 'c. 40', 'd. 36', 'e. 64']", "output": [ "d" ] }, { "id": "task1678-a86c7d53b743401cbc8501584049f2cb", "input": "Problem: a cube of edge 16 cm is immersed completely in a rectangular vessel containing water. if the dimensions of the base of vessel are 20 cm * 15 cm, find the rise in water level ?\nOptions: a. 6 cm, b. 8.25 cm, c. 13.65 cm, d. 15.12 cm, e. 20.62 cm", "output": [ "c" ] }, { "id": "task1678-b32988801fdd45afbe981da82d3a8944", "input": "Problem: find the value of ( 45 + 23 / 89 ) × 89\nOptions: a. 4028, b. 4026, c. 4248, d. 4538, e. 9028", "output": [ "a" ] }, { "id": "task1678-29866b3fea7046d18a5498bc70d4a98c", "input": "Problem: the average age of father and his two sons is 24 years. 5 years ago, the average age of the two sons was 15 years. if the difference between the ages of the two sons is 4 years, what is the present age of the father ?\nOptions: a. 45, b. 32, c. 47, d. 48, e. 49", "output": [ "b" ] }, { "id": "task1678-03f33b9b048f4f79a344c942f7c44e1d", "input": "Problem: a caterer ordered 225 ice - cream bars and 125 sundaes. if the total price was $ 200.00 and the price of each ice - cream bar was $ 0.60, what was the price of each sundae ?\nOptions: a. $ 0.52, b. $ 0.80, c. $ 1.00, d. $ 1.20, e. $ 1.60", "output": [ "a" ] }, { "id": "task1678-f49c7fc387d84214933362aef69a6a56", "input": "Problem: what is the remainder when 3 ^ 26 is divided by 5 ?\nOptions: a. 0, b. 1, c. 2, d. 3, e. 4", "output": [ "e" ] }, { "id": "task1678-0fc016f5034d49cb9d33b9cbc5f1bab5", "input": "Problem: 15.06 * 0.00001 = ?\nOptions: a. 15060000, b. 0.0001506, c. 0.01506, d. 0.1506, e. none of these", "output": [ "b" ] }, { "id": "task1678-d30c938ed3a740f1ae5509d491dcf53f", "input": "Problem: a no. when divided by the sum of 555 and 445 gives 2 times their difference as quotient & 50 as remainder. find the no. is ?\nOptions: a. 145646, b. 236578, c. 645353, d. 456546, e. 220050", "output": [ "e" ] }, { "id": "task1678-fe98395966774cca9eda803e962bde10", "input": "Problem: if p and q are prime numbers, how many divisors does the product p ^ 4 * q ^ 5 have ?\nOptions: a. 30, b. 40, c. 45, d. 50, e. 56", "output": [ "a" ] }, { "id": "task1678-9c3d3740c52440a69692d7b1f12876d5", "input": "Problem: if 20 % of a number = 300, then 120 % of that number will be ?\nOptions: a. 20, b. 120, c. 360, d. 1800, e. 1820", "output": [ "d" ] }, { "id": "task1678-1cbd92361a8d4b4c85edeaec775736a4", "input": "Problem: a can do a work in 6 days, b can do a work in 8 days and c can do it in 12 days. b left work after 5 days. for how many number of days should a and c should work together to complete the remaining work ?\nOptions: a. 1 / 2, b. 2 / 3, c. 3 / 4, d. 4 / 3, e. 5 / 2", "output": [ "b" ] }, { "id": "task1678-697476145b944c44a0c2f3c830371da1", "input": "Problem: a contractor undertook to do a certain piece of work in 6 days. he employed certain number of men, but 5 of them being absent from the very first day, the rest could finish the work in 10 days. the number of men originally employed were :\nOptions: a. 12, b. 10, c. 13, d. 11, e. none of these", "output": [ "b" ] }, { "id": "task1678-d2db7cd78e6148f2aa1132980a0be0cf", "input": "Problem: a card game called “ high - low ” divides a deck of 52 playing cards into 2 types, “ high ” cards and “ low ” cards. there are an equal number of “ high ” cards and “ low ” cards in the deck and “ high ” cards are worth 2 points, while “ low ” cards are worth 1 point. if you draw cards one at a time, how many ways can you draw “ high ” and “ low ” cards to earn 7 points if you must draw exactly 5 “ low ” cards ?\nOptions: a. 6, b. 2, c. 3, d. 4, e. 5", "output": [ "a" ] }, { "id": "task1678-97202a2975d84094b0e97e2f4c9b8bfe", "input": "Problem: one gear of pulley rotates at a speed of 3 rev / sec another gear roates at 5 rev / sec. if both start together after how many seconds will they be together again\nOptions: a. 3 sec, b. 5 sec, c. 15 sec, d. 20 sec, e. 25 sec", "output": [ "c" ] }, { "id": "task1678-69153c3c4a16416ab3e772d6f60a1d50", "input": "Problem: a group of n students can be divided into equal groups of 3 with 1 student left over or equal groups of 6 with 1 students left over. what is the sum of the two smallest possible values of n ?\nOptions: a. 33, b. 46, c. 49, d. 53, e. 86", "output": [ "e" ] }, { "id": "task1678-515c6d8ec5e949a5b80c3f4323050c95", "input": "Problem: one type of liquid contains 10 % of water and the second type of liquid contains 15 % of water. a glass is filled with 5 parts of 1 st liquid and 2 parts of 2 nd liquid. the percentage of water in the new mixture in the glass is ?\nOptions: a. 5.6 %, b. 11.4 %, c. 15.6 %, d. 21.3 %, e. 18.9 %", "output": [ "b" ] }, { "id": "task1678-52d402cf0578448bb0b56fa6aaee9d5b", "input": "Problem: a cylindrical can has a radius of 3 centimeters and a height of 24 centimeters. what is the area, in square centimeters, of a rectangular label that completely covers the curved surface of the can without over - lapping ?\nOptions: ['a. 16 pi', 'b. 64 pi', 'c. 96 pi', 'd. 144 pi', 'e. 576 pi']", "output": [ "d" ] }, { "id": "task1678-9a59b4299b90477b86cc5f0b336d60bf", "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": "task1678-da461fb99f844d8b972825ff5e777ef9", "input": "Problem: the floor of a rectangular room is 18 m long and 12 m wide. the room is surrounded by a veranda of width 2 m on all its sides. the area of the veranda is :\nOptions: a. 124 m 2, b. 126 m 2, c. 136 m 2, d. 158 m 2, e. none of these", "output": [ "c" ] }, { "id": "task1678-c4ee6e46bd8e40f5b6e7827cb6130540", "input": "Problem: the average ( arithmetic mean ) of all scores on a certain algebra test was 90. if the average of the 8 male students ’ grades was 84, and the average of the female students ’ grades was 92, how many female students took the test ?\nOptions: a. 8, b. 9, c. 10, d. 21, e. 24", "output": [ "e" ] }, { "id": "task1678-557e7ea93580421783478b5566cc2ce6", "input": "Problem: a box contains 21 electric bulbs, out of which 4 are defective. two bulbs are chosen at random from this box. the probability that at least one of these is defective is\nOptions: a. 4 / 19, b. 7 / 19, c. 12 / 19, d. 21 / 95, e. 31 / 88", "output": [ "e" ] }, { "id": "task1678-ce38336d70a740cd8cbe3b68962ba140", "input": "Problem: p, q and r together earn rs. 1710 in 9 days. p and r can earn rs. 600 in 5 days. q and r in 7 days can earn rs. 910. how much amount does r can earn per day ?\nOptions: a. s. 40, b. s. 60, c. s. 90, d. s. 100, e. s. 120", "output": [ "b" ] }, { "id": "task1678-f66803686f7a4954a8044c82bc189f85", "input": "Problem: simple interest on a certain sum at a certain annual rate of interest is 1 / 9 of the sum. if the numbers representing rate percent and time in years be equal, then the rate of interest is :\nOptions: a. 5, b. 8, c. 3 1 / 3, d. 2 2 / 3, e. none of these", "output": [ "c" ] }, { "id": "task1678-c46aacbe256e445991e39d720b358308", "input": "Problem: a dealer purchases 15 articles for rs. 25 and sells 12 articles for rs. 32. find the profit percentage ?\nOptions: a. 80 %, b. 50 %, c. 59 %, d. 40 %, e. 60 %", "output": [ "e" ] }, { "id": "task1678-f0b60b99cfa44da785f168ce77526f3a", "input": "Problem: a fraudulent dairy guy declares to market his dairy at price range but he combined it with water and therefore benefits 25 %. the percentage of water in the combination is :\nOptions: a. 20 %, b. 30 %, c. 50 %, d. 35 %, e. 60 %", "output": [ "a" ] }, { "id": "task1678-594964d523b041c1b23ac20a9c6368d4", "input": "Problem: 49 ã — 49 = 7 ^ ?\nOptions: a. 4, b. 7, c. 8, d. 16, e. none of these", "output": [ "a" ] }, { "id": "task1678-349e2291510b46c68d8258dc10ae999e", "input": "Problem: a batsman in his 12 th inning makes a score of 60 and their by increasing his average by 4. what is his average after the 12 th inning ?\nOptions: a. 12, b. 16, c. 20, d. 24, e. 28", "output": [ "b" ] }, { "id": "task1678-6372f48d149d4a4a9ae48119f14f4ae5", "input": "Problem: find the ones digit of 73 ^ 351\nOptions: a. 3, b. 5, c. 6, d. 7, e. 9", "output": [ "d" ] }, { "id": "task1678-9c5e2b32aaab4651aaf637bbef4c039d", "input": "Problem: 5 is added to a certain number, the sum is multiplied by 7, the product is divided by 5 and 5 is subtracted from the quotient. the remainder left is half of 66. what is the number ?\nOptions: a. 21, b. 20, c. 22, d. 30, e. 45", "output": [ "c" ] }, { "id": "task1678-fe4ff687ca544a76a9e2bbd3bafa33ff", "input": "Problem: john bought a shirt on sale for 25 % off the original price and another 25 % off the discounted price. if the final price was $ 17, what was the price before the first discount ?\nOptions: a. $ 45.10, b. $ 30.22, c. $ 28.44, d. $ 67.54, e. $ 65.23", "output": [ "b" ] }, { "id": "task1678-a87eb9ef8d15499c84b2694581fd2646", "input": "Problem: if a trader sold two cars each at rs. 325475 and gains 15 % on the first and loses 15 % on the second, then his profit or loss percent on the whole is ?\nOptions: a. 1.44 %, b. 1.74 %, c. 1.84 %, d. 1.97 %, e. 2.25 %", "output": [ "e" ] }, { "id": "task1678-cc84ffcbc0ef46c6989bb2b3cb01b577", "input": "Problem: a cistern has a leak which would empty the cistern in 20 minutes. a tap is turned on which admits 5 liters a minute into the cistern, and it is emptied in 24 minutes. how many liters does the cistern hold ?\nOptions: a. 480, b. 487, c. 481, d. 729, e. 600", "output": [ "e" ] }, { "id": "task1678-13c3eb425c28422d82fde839d21c5172", "input": "Problem: an investor can sell her microtron stock for 36 $ per share and her dynaco stock for 60 $ per share, if she sells 300 shares altogether, some of each stock, at an average price per share of 40 $, how many shares of dynaco stock has she sold ?\nOptions: a. 50, b. 75, c. 92, d. 136, e. 184", "output": [ "a" ] }, { "id": "task1678-396a81cb64b845a0932c8358a5b5ad73", "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": "task1678-b3775839d45143e08085d74f39a53a46", "input": "Problem: every letter in the alphabet has a number value that is equal to its place in the alphabet. thus, the letter a has a value of 1, the letter b has a value of 2, the letter c has a value of 3, etc... the number value of a word is obtained by adding up the value of the letters in the word and then multiplying that sum by the length of the word. what is the number value of the word ` ` hen ' ' ?\nOptions: a. 69, b. 72, c. 75, d. 78, e. 81", "output": [ "e" ] }, { "id": "task1678-24705914ff374bcfb2813b3a333c8461", "input": "Problem: it is the new year and mandy has made a resolution to lose weight this year. she plans to exercise and do yoga. for exercise she plans to workout at the gym and ride her bicycle in the ratio of 2: 3 everyday. she will also do yoga in the ratio, yoga: exercise = 2: 3. if she rides her bike for 16 minutes, how much time will she spend doing yoga ? ( rounded to minutes )\nOptions: a. 10 min., b. 41 min., c. 27 min., d. 23 min., e. 25 min.", "output": [ "c" ] }, { "id": "task1678-876d19acbe1f44ebba6113aadb385029", "input": "Problem: a cistern which could be filled in 8 hours takes one hour more to be filled owing to a leak in its bottom. if the cistern is full in what time will the leak empty it ?\nOptions: a. 76 hrs, b. 99 hrs, c. 55 hrs, d. 90 hrs, e. 40 hrs", "output": [ "e" ] }, { "id": "task1678-9026d49efbd646f99298d647e79bc245", "input": "Problem: a train travels from new york to chicago, a distance of approximately 270 miles, at an average rate of 30 miles per hour and arrives in chicago at 6: 00 in evening, chicago time. at what hour in the morning, new york time, did the train depart for chicago ? ( note: chicago time is one hour earlier than new york time.\nOptions: a. 3: 00, b. 4: 00, c. 10: 00, d. 6: 00, e. 7: 00", "output": [ "c" ] }, { "id": "task1678-2a46148fde8945d99139e40194ed4500", "input": "Problem: in a certain pond, 35 fish were caught, tagged, and returned to the pond. a few days later, 35 fish were caught again, of which 2 were found to have been tagged. if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what ` s the approximate number of fish in the pond ?\nOptions: a. 400, b. 625, c. 875, d. 2500, e. 10 000", "output": [ "c" ] }, { "id": "task1678-e311c801801944a19ba61a5f671629f2", "input": "Problem: a sum fetched a total simple interest of rs. 4016.25 at the rate of 1 % p. a. in 9 years. what is the sum ?\nOptions: a. 42315, b. 42877, c. 44625, d. 38925, e. 22887", "output": [ "c" ] }, { "id": "task1678-82845478705f459dba60eab217b2bf83", "input": "Problem: average expenditure of a person for the first 3 days of a week is rs. 320 and for the next 4 days is rs. 420. average expenditure of the man for the whole week is :\nOptions: a. 350, b. 370, c. 390, d. 360, e. none", "output": [ "d" ] }, { "id": "task1678-3b4935876f87468dabbf0bb8a0e7b5ef", "input": "Problem: a bookstore has a shelf that contains biographies which normally sell for $ 20 each and mysteries that normally sell for $ 12 each. during a sale, the biographies and mysteries are discounted at different rates so that a customer saves a total of $ 19 from the normal price by buying 5 discounted biographies and 3 discounted mysteries. if the sum of the discount rates for the two types of books is 30 percent, what is the discount rate on mysteries ?\nOptions: a. 17.18 %, b. 12 %, c. 13 %, d. 14 %, e. 15 %", "output": [ "a" ] }, { "id": "task1678-d0299a13d09b4ad8936cf347fc45cbda", "input": "Problem: three numbers are in the ratio 2: 3: 5 and their average is 50. the largest number is :\nOptions: a. 30, b. 75, c. 27, d. 21, e. 22", "output": [ "b" ] }, { "id": "task1678-f8c6f9dff4fd424997298209fb9ce3d2", "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": "task1678-94d71f98089746b89ee8a8597312c65a", "input": "Problem: a computer manufacturer produces a certain electronic component at a cost of $ 80 per component. shipping costs for delivering the components are $ 3 per unit. further, the manufacturer has costs of $ 16,500 a month related to the electronic component regardless of how many it produces. if the manufacturer produces and sells 150 components a month, what is the lowest price it can sell them for such that the costs do n ' t exceed the revenues ?\nOptions: a. $ 28, b. $ 82, c. $ 110, d. $ 138, e. $ 193", "output": [ "e" ] }, { "id": "task1678-889ff3d651344a21b70bcbbd827d4b37", "input": "Problem: two cyclist start on a circular track from a given point but in opposite direction with speeds of 7 m / s and 8 m / s. if the circumference of the circle is 630 meters, after what time will they meet at the starting point ?\nOptions: a. 20 sec, b. 15 sec, c. 42 sec, d. 50 sec, e. 1 min", "output": [ "c" ] }, { "id": "task1678-cac17c405b3f457bb9879c715ff35fc0", "input": "Problem: calculate the sum of first 60 natural numbers.\nOptions: a. 1839, b. 2830, c. 1830, d. 1831, e. 1835", "output": [ "c" ] }, { "id": "task1678-31bb7f7bc99c4bbf815c9be222c46100", "input": "Problem: buffalo gives 4 liter milk, cow gives ( 1 / 2 ) liter milk and goat gives 1 / 4 liter milk. you have to get 20 liter milk by 20 animals. what is the number of goats ?\nOptions: a. 1, b. 2, c. 3, d. 4, e. 5", "output": [ "b" ] }, { "id": "task1678-5086e23427b54a459ee889dd2ed8aee4", "input": "Problem: a batsman makes a score of 85 runs in the 11 th inning and thus increases his average by 5. find his average after 11 th inning.\nOptions: a. 40, b. 50, c. 62, d. 45, e. 35", "output": [ "e" ] }, { "id": "task1678-c277cc94297d49fe87348a274281a231", "input": "Problem: each of the three people individually can complete a certain job in 3, 4, and 6 hours, respectively. what is the lowest fraction of the job that can be done in 1 hour by 2 of the people working together at their respective rates ?\nOptions: a. 1 / 3, b. 9 / 20, c. 8 / 15, d. 5 / 12, e. 2 / 3", "output": [ "d" ] }, { "id": "task1678-6efb50703d944a92b3619d3d59d34011", "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": "task1678-542be16576be4e57804b0dfae29b2673", "input": "Problem: if a man lost 4 % by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44 % ?\nOptions: a. 8, b. 7, c. 5, d. 2, e. 1", "output": [ "a" ] }, { "id": "task1678-b8e09ad439f84474a10bfb3c66c45644", "input": "Problem: the pilot of a small aircraft with a 40 - gallon fuel tank wants to fly to cleveland, which is 480 miles away. the pilot recognizes that the current engine, which can fly only 6 miles per gallon, will not get him there. by how many miles per gallon must the aircraft ’ s fuel efficiency be improved to make the flight to cleveland possible ?\nOptions: a. 2, b. 4, c. 12, d. 6, e. 160", "output": [ "d" ] }, { "id": "task1678-f46768708b38495c97768fd3684f6e01", "input": "Problem: every year an amount increases by 1 / 8 th of itself. how much will it be after two years if its present value is rs. 70400 ?\nOptions: a. 89100, b. 81028, c. 27772, d. 29889, e. 22312", "output": [ "a" ] }, { "id": "task1678-b5318375d39541d7b2362cd5f1af5e3b", "input": "Problem: an empty fuel tank is filled with brand z gasoline. when the tank is 1 / 4 empty, it is filled with brand y gasoline. when the tank is half empty again, it is filled with brand z gasoline. when the tank is half empty again, it is filled with brand y gasoline. at this time, what percent of the gasoline in the tank is brand z ?\nOptions: a. 31.25 %, b. 30 %, c. 40 %, d. 50 %, e. 45 %", "output": [ "a" ] }, { "id": "task1678-a28c6b016c3443d99e899a9f01974f59", "input": "Problem: if a - b = 3 and a ( power 2 ) + b ( power 2 ) = 29, find the value of ab.\nOptions: a. 5, b. 8, c. 4, d. 10, e. 3", "output": [ "d" ] }, { "id": "task1678-51d7e70dddb24af4bcd8579878fd5a62", "input": "Problem: in an election, candidate a got 55 % of the total valid votes. if 15 % of the total votes were declared invalid and the total numbers of votes is 560000, find the number of valid vote polled in favor of candidate ?\nOptions: a. 261800, b. 355800, c. 356500, d. 356800, e. 357000", "output": [ "a" ] }, { "id": "task1678-94ab060e4e6e4d919c5fcbd47cd4174c", "input": "Problem: a 600 meter long train crosses a signal post in 30 seconds. how long will it take to cross a 3 kilometer long bridge, at the same speed ?\nOptions: a. 4 min, b. 2 min, c. 8 min, d. 3 min, e. 5 min", "output": [ "d" ] }, { "id": "task1678-ef555cc127814950aece435d9f3cc567", "input": "Problem: a certain number when divided by 39 leaves a remainder 20, what is the remainder when the same number is divided by 13 ?\nOptions: a. 7, b. 8, c. 9, d. 0, e. 1", "output": [ "a" ] }, { "id": "task1678-3ac002beecdc472eb83dbb67f898cddc", "input": "Problem: a sum fetched a total simple interest of $ 4196.25 at the rate of 9 p. c. p. a. in 5 years. what is the sum ?\nOptions: a. $ 8829, b. $ 2840, c. $ 6578, d. $ 7782, e. $ 8929", "output": [ "e" ] }, { "id": "task1678-4fc7e549edac49d2b9f28447b971debb", "input": "Problem: if the sum of 5 consecutive even positive integers is a, then the sum of the next 5 even consecutive integers in terms of a is :\nOptions: a. a + 5, b. a + 10, c. a + 25, d. a + 50, e. 2 a + 5", "output": [ "d" ] }, { "id": "task1678-a620b634b5e4437aa27bda28bf452d9b", "input": "Problem: an escalator moves towards the top level at the rate of 12 ft. sec and its length is 196 feet. if a person walks on the moving escalator at the rate of 2 feet per second towards the top level, how much time does he take to cover the entire length.\nOptions: a. 14 sec, b. 10 sec, c. 12 sec, d. 8 sec, e. 9 sec", "output": [ "a" ] }, { "id": "task1678-cf8ad03cf631434d89668c2b8d6e2ea4", "input": "Problem: pipe a fills a tank in 12 minutes. pipe b can fill the same tank 3 times as fast as pipe a. if both the pipes are kept open when the tank is empty, how many minutes will it take to fill the tank ?\nOptions: a. 4 mins, b. 6 mins, c. 5 mins, d. 3 mins, e. 7 mins", "output": [ "d" ] }, { "id": "task1678-01397fb480c84e09a9cd95f67acdc5e3", "input": "Problem: a sum of rs. 2730 is lent into two parts so that the interest on the first part for 8 years at 3 % per annum may be equal to the interest on the second part for 3 years at 5 % per annum. find the second sum ?\nOptions: a. 1629, b. 1680, c. 1677, d. 1698, e. 1679", "output": [ "b" ] }, { "id": "task1678-c04c064c41d54f4784b849702533597b", "input": "Problem: if the radius of a circle is decreased 60 %, what happens to the area ?\nOptions: a. 10 % decrease, b. 20 % decrease, c. 36 % decrease, d. 84 % decrease, e. 50 % decrease", "output": [ "d" ] }, { "id": "task1678-10e8343a24b749bb9e2d0cbc991936f3", "input": "Problem: the speed at which a man can row a boat in still water is 22 kmph. if he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 80 metres ?\nOptions: a. 12.59, b. 11.53, c. 15.69, d. 14.56, e. 18.98", "output": [ "b" ] }, { "id": "task1678-33ad5340dd1c427593721e154486458f", "input": "Problem: on a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. on the next day, orangeade was made by mixing the same amount of orange juice with twice the amount of water. on both days, all the orangeade that was made was sold. if the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $ 0.70 per glass on the first day, what was the price per glass on the second day ?\nOptions: a. $ 0.15, b. $ 0.20, c. $ 0.30, d. $ 0.40, e. $ 0.46", "output": [ "e" ] }, { "id": "task1678-74f95bb5a0434a979a0c63229cf0afbf", "input": "Problem: if one - third of one - fourth of a number is 18, then 3 - tenth of that number is: a. 35\nOptions: a. 23, b. 87, c. 26, d. 64.8, e. 01", "output": [ "d" ] }, { "id": "task1678-78191fa2cb684173ac20f3095d2b2ac5", "input": "Problem: during a certain season, a team won 75 percent of its first 100 games and 50 percent of its remaining games. if the team won 70 percent of its games for the entire season, what was the total number of games that the team played ?\nOptions: a. 180, b. 170, c. 156, d. 150, e. 125", "output": [ "e" ] }, { "id": "task1678-caac14a7c4bc4b2d8d816d81a7e39eaa", "input": "Problem: if a number n is chosen at random from the set of two - digit integers whose digits are both prime numbers, what is the probability e that n is divisible by 3 ?\nOptions: a. 1 / 3, b. ¼, c. 9 / 25, d. 5 / 16, e. 0", "output": [ "d" ] }, { "id": "task1678-8d157d13b6234dbab34d0bd84e9b9183", "input": "Problem: p, q and r together earn rs. 1890 in 9 days. p and r can earn rs. 600 in 5 days. q and r in 7 days can earn rs. 910. how much amount does r can earn per day ?\nOptions: a. s. 40, b. s. 70, c. s. 90, d. s. 100, e. s. 120", "output": [ "a" ] }, { "id": "task1678-b2b2db0c3cb740b0b95ae8000615f9e8", "input": "Problem: the greatest number that divides 690 and 875 leaving remainders 10 and 25 respectively is :\nOptions: a. 170, b. 130, c. 150, d. 120, e. 180", "output": [ "a" ] }, { "id": "task1678-bef4479b024548dc921259beeae77b65", "input": "Problem: a group of students was interviewed for that if it was asked whether or not they speak french and / or english. among those who speak french, 25 speak english well, while 65 of them do not speak english. if 55 % of students do not speak french, how many students were surveyed ?\nOptions: a. 190, b. 175, c. 225, d. 200, e. 250", "output": [ "d" ] }, { "id": "task1678-f407051cfce34f48ac8e4c688b1c647a", "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": "task1678-0f151edc03a04f7f8898232fcdd6c352", "input": "Problem: find the sum of all 3 digit natural numbers, which are divisible by 8.\nOptions: a. 61376, b. 54411, c. 612314, d. 64170, e. 64171", "output": [ "a" ] }, { "id": "task1678-7237941fe3774ae7ad4e505dada79c83", "input": "Problem: each of the products produced yesterday was checked by worker x or worker y. 0.5 % of the products checked by worker x are defective and 0.8 % of the products checked by worker y are defective. if the total defective rate of all the products checked by worker x and worker y is 0.65 %, what fraction of the products was checked by worker y ?\nOptions: a. 1 / 5, b. 1 / 2, c. 2 / 3, d. 1 / 4, e. 2 / 5", "output": [ "b" ] }, { "id": "task1678-b5a8deadbf0343d1bca7fe16809ede76", "input": "Problem: the radius of the two circular fields is in the ratio 4: 10 the area of the second field is what percent greater than the area of the first ?\nOptions: ['a. 72 %', 'b. 96 %', 'c. 94 %', 'd. 84 %', 'e. 82 %']", "output": [ "d" ] }, { "id": "task1678-81b83777007043e19cc7dcdc5be26452", "input": "Problem: a river 2 m deep and 45 m wide is flowing at the rate of 5 kmph the amount of water that runs into the sea per minute is ?\nOptions: a. 4500 m 3, b. 4580 m 3, c. 7500 m 3, d. 4900 m 3, e. 4700 m 3", "output": [ "c" ] }, { "id": "task1678-3db3f954a72343f78f9ad3c2d5d20fae", "input": "Problem: if the range q of the 6 numbers 4, 314, 710 and x is 12, what is the difference between the greatest possible value of x and least possible value of x ?\nOptions: a. 0, b. 2, c. 12, d. 13, e. 15", "output": [ "d" ] }, { "id": "task1678-0cc4e37abb4b43aa99d1bbeb2b52193c", "input": "Problem: a person is traveling at 60 km / hr and reached his destiny in 4 hr. 30 m then find the distance ?\nOptions: a. 150 km, b. 270 km, c. 246 km, d. 196 km, e. 205 km", "output": [ "b" ] }, { "id": "task1678-b3301703d86c472b9b38cb606995a460", "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": "task1678-7fcf59b2275c4ef9bd42b78daa0f762c", "input": "Problem: a train 300 m long can cross an electric pole in 20 sec and then find the speed of the train ?\nOptions: a. 72, b. 67, c. 54, d. 26, e. 27", "output": [ "c" ] }, { "id": "task1678-fa992b6220db40679d15af535ba4875f", "input": "Problem: a train is 385 meter long is running at a speed of 45 km / hour. in what time will it pass a bridge of 140 meter length\nOptions: a. 42 seconds, b. 30 seconds, c. 40 seconds, d. 50 seconds, e. none of these", "output": [ "a" ] }, { "id": "task1678-3d23291f2bfc4c71a24601a1bea248b8", "input": "Problem: ifaequals the sum of the even integers from 2 to 20, inclusive, andbequals the sum of the odd integers from 1 to 19, inclusive, what is the value of a * b ?\nOptions: a. 10000, b. 11000, c. 19000, d. 20000, e. 21000", "output": [ "b" ] }, { "id": "task1678-a287d1f0b48e4152a8b4a144346d54eb", "input": "Problem: the distance between two cities a and b is 330 km. a train starts from a at 8 a. m. and travel towards b at 60 km / hr. another train starts from b at 9 a. m and travels towards a at 75 km / hr. at what time do they meet ?\nOptions: a. 10 a. m, b. 10.30 a. m, c. 11 a. m, d. 11.30 a. m, e. none of these", "output": [ "c" ] }, { "id": "task1678-5eaf640f7f5f4be3b47af0a004bdfb70", "input": "Problem: in a garden, there are 10 rows and 12 columns of mango trees. the distance between the two trees is 2 m and a distance of one meter is left from all sides of the boundary of the length of the garden is :\nOptions: a. 450 sq mtrs, b. 460 sq mtrs, c. 480 sq mtrs, d. 490 sq mtrs, e. 470 sq mtrs", "output": [ "c" ] }, { "id": "task1678-4c0c17efd687404e805e18be92a964d1", "input": "Problem: there are 10 stations between hyderabad and bangalore. how many second class tickets have to be printed, so that a passenger can travel from any station to any other station ?\nOptions: a. 156, b. 167, c. 132, d. 352, e. 380", "output": [ "c" ] }, { "id": "task1678-2d9eede9f0a34a38b6f17e2a93962fe6", "input": "Problem: total dinning bill of 9 people was $ 139.00 and 10 % tip divided the bill evenly ? what is the bill amount each person shared.\nOptions: a. 21.84, b. 12.84, c. 16.98, d. 24.84, e. 15.84", "output": [ "c" ] }, { "id": "task1678-d396f24131ec49dfbc009b5e9d832063", "input": "Problem: find the length of the longest pole that can be placed in a room 12 m long 8 m broad and 9 m high.\nOptions: a. 13, b. 14, c. 15, d. 16, e. 17", "output": [ "e" ] }, { "id": "task1678-1b6d573aaf2148ecb50bc3dc9d73d6c9", "input": "Problem: find the average of first 4 multiples of 8 ?\nOptions: a. 20, b. 12.6, c. 22.5, d. 31.3, e. 40.8", "output": [ "a" ] }, { "id": "task1678-920c3b9be6e24f21a492bafd410c5930", "input": "Problem: if 9 ^ y = 3 ^ 14, what is y ?\nOptions: a. 2, b. 3, c. 4, d. 5, e. 7", "output": [ "e" ] }, { "id": "task1678-1bc1d0554c1c4efdb616b8feeeed1e5b", "input": "Problem: how many zeroes are there at the end of the number n, if n = 90 ! + 180 ! ?\nOptions: a. 15, b. 18, c. 21, d. 24, e. 27", "output": [ "c" ] }, { "id": "task1678-f4b90c25ac5e42c4906600dbc53d07be", "input": "Problem: ms. harris invested in fund x and fund b. the total amount she invested, in both funds combined, was $ 100000. in one year, fund x paid 23 % and fund b paid 17 %. the interest earned in fund b was exactly $ 200 greater than the interest earned in fund x. how much did ms. morris invest in fund x ?\nOptions: a. $ 32000, b. $ 36000, c. $ 40000, d. $ 42000, e. $ 45,000", "output": [ "d" ] }, { "id": "task1678-07537cd4f31741dfb54908defc2b6a15", "input": "Problem: in a forest 150 deer were caught, tagged with electronic markers, then released. a week later, 50 deer were captured in the same forest. of these 50 deer, it was found that 10 had been tagged with the electronic markers. if the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest, and if no deer had either left or entered the forest over the preceding week, what is the approximate number of deer in the forest ?\nOptions: a. 150, b. 750, c. 3,000, d. 1,500, e. 2,500", "output": [ "c" ] }, { "id": "task1678-8fc55076d7d542f1a5340f31f941e8e4", "input": "Problem: a 11 meter long wire is cut into two pieces. if the longer piece is then used to form a perimeter of a square, what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point ?\nOptions: a. 5 / 8, b. 1 / 5, c. 6 / 11, d. 3 / 11, e. 2 / 5", "output": [ "c" ] }, { "id": "task1678-aadac450cef2417dbb44de125cb87ff8", "input": "Problem: if the price of a certain computer increased 30 percent from b dollars to 351 dollars, then 2 b =\nOptions: a. 540, b. 570, c. 619, d. 649, e. 700", "output": [ "a" ] }, { "id": "task1678-81460efcf90d40679c2d675bfa5e8385", "input": "Problem: vishal invested 10 % more than trishul. trishul invested 10 % less than raghu. if the total sum of their investments is rs. 5780, how much amount did raghu invest ?\nOptions: a. 1287, b. 2887, c. 2000, d. 1129, e. 1192", "output": [ "c" ] }, { "id": "task1678-f964c05e3bb64e5481f736bf93bc8441", "input": "Problem: how many seconds will a train 100 meters long take to cross a bridge 170 meters long if the speed of the train is 36 kmph ?\nOptions: a. 54 sec, b. 65 sec, c. 25 sec, d. 45 sec, e. 27 sec", "output": [ "e" ] }, { "id": "task1678-d0dbef1b7e374af8a57c9ad6518099d3", "input": "Problem: in a bus left side are 15 seats available, 3 few seats in right side because in rear exit door. each seat hold 3 people. in addition, there is a seat back can sit 12 people all together. how many people can sit in a bus ?\nOptions: a. 52, b. 49, c. 95, d. 88, e. 93", "output": [ "e" ] }, { "id": "task1678-d00df84e035c441a8c0bd367eb540c44", "input": "Problem: some persons can do a piece of work in 16 days. two times the number of these people will do half of that work in ?\nOptions: a. 3, b. 4, c. 5, d. 6, e. 8", "output": [ "b" ] }, { "id": "task1678-2ff51946eb9742e79a79c4dba124bd1c", "input": "Problem: stacy was 5 days late returning items to the library. stacy had checked out 40 books, 2 movies, and 3 magazines. books are fined $ 0.25 per day, movies are fined $ 3.00 per day, and magazines are fined $ 0.50 per day. what is the average fine per item per day stacy paid ?\nOptions: a. $ 0.25, b. $ 0.30, c. $ 0.35, d. $ 0.40, e. none of the above", "output": [ "e" ] }, { "id": "task1678-827a612a6d6d49fa89bd35c42359fe12", "input": "Problem: if an average hard drive had a capacity of 0.4 tb in 2000, and average hard drive capacities double every 5 years, what will be the average hard drive capacity in 2050 ?\nOptions: a. 256, b. 512, c. 4096, d. 1024, e. 1536", "output": [ "c" ] }, { "id": "task1678-5384d4171b044e569a46cd21cde475b4", "input": "Problem: in may, the grounds keeper at spring lake golf club built a circular green with an area of 36 π square feet. in august, he doubled the distance from the center of the green to the edge of the green. what is the total area of the renovated green ?\nOptions: ['a. 100 pi', 'b. 144 pi', 'c. 70', 'd. 80', 'e. 90']", "output": [ "b" ] }, { "id": "task1678-d1ae48e584a445dd9a60bb2909249ff5", "input": "Problem: a house wife saved $ 5 in buying an item on sale. if she spent $ 48 for the item, approximately how much percent she saved in the transaction ?\nOptions: a. 8 %, b. 9 %, c. 10 %, d. 11 %, e. 12 %", "output": [ "c" ] }, { "id": "task1678-32d92f5e2fe94e0aa35b1680762c9440", "input": "Problem: a reduction of 20 % in the price of salt enables a lady to obtain 10 kgs more for rs. 200, find the original price per kg ?\nOptions: a. s. 7, b. s. 4, c. s. 5, d. s. 1, e. s. 9", "output": [ "c" ] }, { "id": "task1678-5e4019dc8511417e85df02eed5f4c620", "input": "Problem: find the remainder when 6 ^ 50 is divided by 215\nOptions: a. 34, b. 35, c. 36, d. 37, e. 38", "output": [ "c" ] }, { "id": "task1678-e1911de367e04fdf9c2b8a7fb74ac33f", "input": "Problem: a train 140 m long is running at 60 kmph. in how much time wiu it pass a platform 260 m long ?\nOptions: a. 21 sec, b. 22 sec, c. 23 sec, d. 24 sec, e. 26 sec", "output": [ "d" ] }, { "id": "task1678-4c10aeb7f87949178dd5f13ff798602f", "input": "Problem: the total marks obtained by a student in mathematics and physics is 50 and his score in chemistry is 20 marks more than that in physics. find the average marks scored in mathamatics and chemistry together.\nOptions: a. 15, b. 25, c. 35, d. 45, e. 55", "output": [ "c" ] }, { "id": "task1678-e2641a1fc09f48bc8fc118f0a128cda1", "input": "Problem: a rectangular grassy plot 110 m. by 65 m has a gravel path 2.5 m wide all round it on the inside. find the cost of gravelling the path at 70 paise per sq. metre\nOptions: a. s 595, b. s 780, c. s 880, d. s 480, e. s 980", "output": [ "a" ] }, { "id": "task1678-c51d746b50484c89a8d217a17c4e40ac", "input": "Problem: rahul played weel in this season. his current batting averagge is 46. if he score 78 runs in today match. his batting average will become 54. how many matches had he played in this season.\nOptions: a. 8, b. 10, c. 3, d. 6, e. 5", "output": [ "c" ] }, { "id": "task1678-269a09b041854814814b0c9fca799239", "input": "Problem: find the simple interest on rs. 69,000 at 16 2 / 3 % per year for 9 months.\nOptions: a. 7500, b. 6500, c. 8625, d. 9500, e. none of them", "output": [ "c" ] }, { "id": "task1678-11f6eaf844014f31886aee07dc311be2", "input": "Problem: the sum of the present ages of two persons a and b is 60. if the age of a is twice that of b, find the sum of their ages 7 years hence ?\nOptions: a. 22, b. 77, c. 74, d. 98, e. 71", "output": [ "c" ] }, { "id": "task1678-1121b8f735454d89b6fc4ded2f26d7d1", "input": "Problem: malar and roja combined will complete a task in 35 days, but malar alone can complete same work in 60 days. calculate in how many days roja can complete this work ?\nOptions: a. 85 days, b. 45 days, c. 90 days, d. 84 days, e. 95 days", "output": [ "d" ] }, { "id": "task1678-2293c5f0482c497aa86a35beeeceef71", "input": "Problem: the measure of the side of a square is quadrupled. if x represents the perimeter of the original square, what is the value of the new perimeter ?\nOptions: ['a. 3 x', 'b. 4 x', 'c. 9 x', 'd. 12 x', 'e. 27 x']", "output": [ "b" ] }, { "id": "task1678-7731fb2d77844acf99275509ba731d81", "input": "Problem: tough and tricky questions: word problems. micheal, saren and donald decided to club together to buy a present. each of them gave equal amount of money. luckily saren negotiated a 20 % discount for the present so that each of them paid 4 dollars less. how much did they pay for a present ?\nOptions: a. 20, b. 36, c. 48, d. 60, e. 72", "output": [ "c" ] }, { "id": "task1678-ebeb6555b9a7416c9318d1c85a5887d9", "input": "Problem: a train passes a station platform in 36 sec and a man standing on the platform in 25 sec. if the speed of the train is 54 km / hr. what is the length of the platform ?\nOptions: a. 767 m, b. 240 m, c. 187 m, d. 176 m, e. 165 m", "output": [ "e" ] }, { "id": "task1678-8b4261c3b75b4dfeaa9c3639c8c40add", "input": "Problem: a club wants to mix 25 pounds of candy worth $ 8.00 per pound with candy worth $ 5.00 per pound to reduce the cost of the mixture to $ 6.00 per pound. how many pounds of the $ 5.00 per pound candy should be used ?\nOptions: a. 30, b. 40, c. 50, d. 60, e. 70", "output": [ "c" ] }, { "id": "task1678-a67b60a415844991a3e98f566212efac", "input": "Problem: if pintu is coded as 79523 in a certain code language, how would you code lumbo in the same language ?\nOptions: a. 13426, b. 14236, c. 13436, d. 33426, e. 15263", "output": [ "d" ] }, { "id": "task1678-c128b7c2b291408b9c162a8eece0dd75", "input": "Problem: a shopkeeper has 280 kg of apples. he sells 30 % of these at 20 % profit and remaining 60 % at 30 % profit. find his % profit on total.\nOptions: a. 24 %, b. 25 %, c. 26 %, d. 28 %, e. 35 %", "output": [ "a" ] }, { "id": "task1678-f84a5615ce9d48058273318a3e902879", "input": "Problem: pradeep has to obtain 20 % of the total marks to pass. he got 390 marks and failed by 25 marks. the maximum marks are\nOptions: a. 300, b. 2075, c. 800, d. 1000, e. 3900", "output": [ "b" ] }, { "id": "task1678-aa8accdcc8674a81b37e142eb87becb0", "input": "Problem: a grocer has a sale of rs. 5420, rs. 5660, rs. 6200, rs. 6350 and rs. 6500 for 5 consecutive months. find the sale he should have in the sixth month, so that he gets an average sale of rs. 6500 ?\nOptions: a. rs. 5870, b. rs. 5991, c. rs. 8870, d. rs. 6850, e. none of these", "output": [ "c" ] }, { "id": "task1678-d6903ed1f560449c8b5d04372f7570b0", "input": "Problem: if 30 men take 15 days to to complete a job, in how many days can 25 men finish that work ?\nOptions: a. 18, b. 17, c. 16, d. 15, e. 14", "output": [ "a" ] }, { "id": "task1678-f2b567f68cca4ae094cf591f9325d348", "input": "Problem: if 7 a = 8 b and ab ≠ 0, what is the ratio of a / 8 to b / 7 ?\nOptions: a. 16 / 14, b. 8 / 7, c. 1, d. 7 / 8, e. 64 / 49", "output": [ "c" ] }, { "id": "task1678-fcb41d8c76874c8d85a1a94c541dd28d", "input": "Problem: an empty fuel tank is filled with brand z gasoline. when the tank is 3 / 4 empty, it is filled with brand y gasoline. when the tank is half empty again, it is filled with brand z gasoline. when the tank is half empty again, it is filled with brand y gasoline. at this time, what percent of the gasoline in the tank is brand z ?\nOptions: a. 40 %, b. 41 %, c. 43.75 %, d. 42 %, e. 44 %", "output": [ "c" ] }, { "id": "task1678-e5dd59c9249e47d2bc749c23234b8cec", "input": "Problem: what will be the fraction of 20 %\nOptions: a. 1 / 4, b. 1 / 5, c. 1 / 10, d. 1 / 8, e. none of above", "output": [ "b" ] }, { "id": "task1678-fd3771d35c4545b1965faf87be7d8d28", "input": "Problem: a cistern is filled by a tap in 6 1 / 2 hours. due to leak in the bottom of the cistern, it takes half an hour longer to fill the cistern. if the cistern is full how many hours will it take the leak to empty it ?\nOptions: a. 81, b. 85, c. 88, d. 91, e. 95", "output": [ "d" ] }, { "id": "task1678-d0ca1bef74304fb5bab19c4ff29271ce", "input": "Problem: 3 candidates contested in an election and received 4136, 7636, 11628 votes respectively. what is the percentage of the total votes did the winning candidate get ?\nOptions: a. 45 %, b. 49 %, c. 50 %, d. 51 %, e. 62 %", "output": [ "c" ] }, { "id": "task1678-a571b622851548e9a7b7f424c57d6095", "input": "Problem: in a hostel, the number of students decreased by 12 % and the price of food increased by 20 % over the previous year. if each student consumes the same amount of food then by how much should the consumption of food be cut short by every student, so that the total cost of the food remains the same as that of the previous year ?\nOptions: a. 19 %, b. 15 %, c. 25 %, d. 40 %, e. 5.3 %", "output": [ "e" ] }, { "id": "task1678-79fc5c00065941968111276538b5b945", "input": "Problem: if the radius of a cylinder is made 3 times and so is the height, what is the new volume of the cylinder divided by the old one ?\nOptions: a. 27., b. 2., c. 6., d. 4., e. 10.", "output": [ "a" ] }, { "id": "task1678-87be5667f21843a891a3aaf3598d08d6", "input": "Problem: the sum of number of boys and girls in a school is 1150. if the number of boys is x, then the number of girls becomes x % of the total number of students. the number of boys is ?\nOptions: a. 50, b. 40, c. 60, d. 92, e. 70", "output": [ "d" ] }, { "id": "task1678-89a7c12e068e49d9ae671ce90418bcb5", "input": "Problem: p can do a work in the same time in which q and r together can do it. if p and q work together, the work can be completed in 10 days. r alone needs 35 days to complete the same work. then q alone can do it in\nOptions: a. 20, b. 22, c. 25, d. 28, e. 30", "output": [ "d" ] }, { "id": "task1678-20e773f71ac844a38aa189c02dc9ef37", "input": "Problem: kim has 3 pairs of shoes; each pair is a different color. if kim randomly selects 2 shoes without replacement from the 6 shoes, what is the probability that she will select 2 shoes of the same color ?\nOptions: a. 2 / 5, b. 1 / 5, c. 1 / 9, d. 1 / 10, e. 1 / 25", "output": [ "b" ] }, { "id": "task1678-211cec4af703409f8a8ecf4dc038a57b", "input": "Problem: simplify: 3005 - 3000 + 10\nOptions: a. 2505, b. 2509, c. 2705, d. 2508, e. none of them", "output": [ "c" ] }, { "id": "task1678-dcaa19bd3fc8451a9b290caa04d0ec8a", "input": "Problem: a sports retailer ordered white and yellow tennis balls in equal number but the dispatch clerk of the tennis ball company erred and dispatched 50 extra yellow balls and making ratio of white balls to yellow balls 8 / 15. how many tennis balls did the retailer order originally.\nOptions: a. 110, b. 114.28, c. 140, d. 160, e. 214", "output": [ "b" ] }, { "id": "task1678-45ec1df1644845be9f3a7855ae272bc1", "input": "Problem: when a merchant imported a certain item, he paid a 7 percent import tax on the portion of the total value of the item in excess of $ 1,000. if the amount of the import tax that the merchant paid was $ 94.50, what was the total value of the item ?\nOptions: a. $ 2,350, b. $ 2,850, c. $ 3,250, d. $ 3,400, e. $ 3,750", "output": [ "a" ] }, { "id": "task1678-e17f89e015cc4cca80d15291fcd4df1e", "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": "task1678-90402c8b3dd643cfa781d404d4c68365", "input": "Problem: the result when a number subtracted from 150 is the same as the number added to 68. what is the number ?\nOptions: a. 110, b. 100, c. 109, d. 218, e. 210", "output": [ "c" ] }, { "id": "task1678-b8b9c9823da5479e947bcb32dc764fdf", "input": "Problem: the radius of a cylinder is 9 m, height 12 m. the volume of the cylinder is :\nOptions: a. 2200, b. 5500, c. 3054.9, d. 1100, e. 4400", "output": [ "c" ] }, { "id": "task1678-275807ccb2844b3a879e25aae9d134b1", "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": "task1678-d1f594f8d5ce4186a988ce8361fbde3c", "input": "Problem: if x * y = xy – 2 ( x + y ) for all integers x and y, then 3 * ( – 3 ) =\nOptions: a. – 16, b. – 9, c. – 4, d. 4, e. 16", "output": [ "b" ] }, { "id": "task1678-ebdc6f9d825f44a6a06a80ea9a48bbf6", "input": "Problem: total 90 cows 30 cow gives each 2 liter milk 30 cow gives each 3 / 4 liter milk 30 cow gives each 1 / 4 liter milk this is split into 3 son per each 30 cows & 30 liter milk how ?\nOptions: a. 10, b. 12, c. 15, d. 16, e. 30", "output": [ "e" ] }, { "id": "task1678-1a2d3fa13de2445ea87fb2b2fe53cae3", "input": "Problem: the ratio between the length and the breadth of a rectangular park is 1: 3. if a man cycling along the boundary of the park at the speed of 12 km / hr completes one round in 8 min, then the area of the park ( in sq. m ) is ?\nOptions: a. 124545 m, b. 134561 m, c. 156787 m, d. 15450 m, e. 120000 m", "output": [ "e" ] }, { "id": "task1678-0b0cce3bec724c59849f22824b9586a2", "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": "task1678-a93182f9173047e4929f143d5b2ffd94", "input": "Problem: cereal a is 11 % sugar by weight, whereas healthier but less delicious cereal b is 2 % sugar by weight. to make a delicious and healthy mixture that is 5 % sugar, what should be the ratio of cereal a to cereal b, by weight ?\nOptions: a. 1: 2, b. 2: 3, c. 1: 3, d. 1: 4, e. 3: 4", "output": [ "a" ] }, { "id": "task1678-d864a7296140439793e3784e5f296f9c", "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": "task1678-18ac9da4cff7496a97d4a246aadb8a26", "input": "Problem: if the price of sugar rises from rs. 10 per kg to rs. 11 per kg, a person, to have no increase in the expenditure on sugar, will have to reduce his consumption of sugar by\nOptions: a. 9 %, b. 20 %, c. 25 %, d. 30 %, e. none", "output": [ "a" ] }, { "id": "task1678-fa1eaa0001614b99973c73c89e96f942", "input": "Problem: the sum of the even numbers between 1 and n is 85 * 86, where n is an odd number, then n = ?\nOptions: a. 163, b. 171, c. 179, d. 185, e. 191", "output": [ "b" ] }, { "id": "task1678-02de06f290334ac9ba188a4927227470", "input": "Problem: total dinning bill of 6 people was $ 139.00 and 10 % tip divided the bill evenly ? what is the bill amount each person shared.\nOptions: a. 21.84, b. 22.84, c. 23.84, d. 24.84, e. 25.48", "output": [ "e" ] }, { "id": "task1678-6e32b8c4d611415597e3cb0b75a2edc8", "input": "Problem: in a t. v. factory, an average of 63 tvs are produced per day for the fist 25 days of the months. a few workers fellill for the next 5 daysreducing the daily avg for the month to 58 sets / day. the average production per day for day last 5 days is ?\nOptions: a. 35, b. 33, c. 48, d. 50, e. 52", "output": [ "b" ] }, { "id": "task1678-af39d8a9123c44aca3cf250c985fa206", "input": "Problem: a part - time employee ’ s hourly wage was increased by 25 %. she decided to decrease the number of hours worked per week so that her total income did not change. by approximately what percent should the number of hours worked be decreased ?\nOptions: a. 9 %, b. 15 %, c. 20 %, d. 50 %, e. 100 %", "output": [ "c" ] }, { "id": "task1678-5a797f3269ed400bbfa167a449d866d4", "input": "Problem: a man rows his boat 120 km downstream and 92 km upstream, taking 4 hours each time. find the speed of the stream ?\nOptions: a. 6 kmph, b. 4 kmph, c. 2 kmph, d. 8 kmph, e. 1 kmph", "output": [ "b" ] }, { "id": "task1678-a1813be0058f487091d2d7ab6cdf9f98", "input": "Problem: a student completes a 3 part exam as follows. the student completes sections a in 4 minutes and takes an equal time to complete the two remaining sections. what is the ratio of time spent on section c to section a if the total duration is 1 hour ?\nOptions: a. 10: 3, b. 9: 2, c. 7: 1, d. 8: 3, e. 11: 2", "output": [ "c" ] }, { "id": "task1678-cf75e4477fe347979c39752f9c145df6", "input": "Problem: a is twice as good a workman as b and they took 10 days together to do the work b alone can do it in.\nOptions: a. 25 days, b. 88 days, c. 30 days, d. 11 days, e. 13 days", "output": [ "c" ] }, { "id": "task1678-6144312d4ff546d9b86690445e7da01c", "input": "Problem: which number can we add to 425897 to get a number exactly divisible by 456 ?\nOptions: a. 3, b. 5, c. 7, d. 9, e. 11", "output": [ "c" ] }, { "id": "task1678-5eda8c73a76c456684799e61a083bd64", "input": "Problem: the speed at which a man can row a boat in still water is 9 kmph. if he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 60 metres ?\nOptions: a. 16 seconds, b. 34 seconds, c. 14 seconds, d. 18 seconds, e. 15 seconds", "output": [ "d" ] }, { "id": "task1678-aea75ccb1abb4348878c7186b6025a46", "input": "Problem: the roof of an apartment building is rectangular and its length is 3 times longer than its width. if the area of the roof is 588 feet squared, what is the difference between the length and the width of the roof ?\nOptions: a. 28., b. 40., c. 42., d. 44., e. 46.", "output": [ "a" ] }, { "id": "task1678-2c222fc5db014113ac8ff68c87d363e4", "input": "Problem: a train covers a distance of 12 km in 10 minutes. if it takes 8 seconds to pass a telegraph post, then the length of the train is\nOptions: a. 100 m, b. 120 m, c. 140 m, d. 160 m, e. 170 cm", "output": [ "d" ] }, { "id": "task1678-01dc45ab8a9f43cc96eb74da665784c5", "input": "Problem: how many numbers from 15 to 65 are exactly divisible by 5 ?\nOptions: a. 5, b. 7, c. 9, d. 10, e. 12", "output": [ "d" ] }, { "id": "task1678-7c3a1a47377e432aa791de3a4f3161a5", "input": "Problem: if the area of a circle decreases by 66 %, then the radius of a circle decreases by\nOptions: a. 20 %, b. 18 %, c. 36 %, d. 64 %, e. none of these", "output": [ "e" ] }, { "id": "task1678-5e4fc03b22a24120a5f5b16bcb3e2bb0", "input": "Problem: two cards are drawn together from a pack of 52 cards the probability that one is the spade and one is a heart is ?\nOptions: a. 85 / 852, b. 45 / 69, c. 18 / 456, d. 13 / 102, e. 23 / 125", "output": [ "d" ] }, { "id": "task1678-0ceb42fd725e469b8dc03dd076e0b73b", "input": "Problem: on thursday mabel handled 90 transactions. anthony handled 10 % more transactions than mabel, cal handled 2 / 3 rds of the transactions that anthony handled, and jade handled 15 more transactions than cal. how much transactions did jade handled ?\nOptions: a. 80, b. 81, c. 82, d. 83, e. 84", "output": [ "b" ] }, { "id": "task1678-11331977855d4e86b0aad88e96cfa8ac", "input": "Problem: peter invests a sum of money and gets back an amount of $ 815 in 3 years. david invests an equal amount of money and gets an amount of $ 850 in 4 years. if both amounts were invested at the same rate ( simple interest ) what was the sum of money invested ?\nOptions: a. 670, b. 664, c. 698, d. 744, e. 710", "output": [ "e" ] }, { "id": "task1678-1b13db8a450345308413cb6b5c462a01", "input": "Problem: a cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.2 m and its walls are 5 cm thick. the thickness of the bottom is :\nOptions: a. 90 cm, b. 2 dm, c. 1 m, d. 1.1 cm, e. none of these", "output": [ "b" ] }, { "id": "task1678-605a8ac05c0546ac807f4e39ca0a8584", "input": "Problem: the sector of a circle has perimeter 83 cm and central angle 225 o. find its radius ?\nOptions: a. 21 cm, b. 15 cm, c. 14 cm, d. 24 cm, e. 28 cm", "output": [ "c" ] }, { "id": "task1678-428ba37d22604fb99f654c025f7579cc", "input": "Problem: a transport company ’ s 120 buses running 20 hrs a day consume 360 of fuel in a day. in the next 3 days, the company will invest in 30 more green buses that use 30 % less fuel. how many lts of fuel will be consumed in a 5 day week after the new buses are added to the fleet ?\nOptions: a. 3060, b. 1, 512, c. 1800, d. 1260, e. 3,312", "output": [ "e" ] }, { "id": "task1678-36defc9a13e7430a9518726124473508", "input": "Problem: at a restaurant, glasses are stored in two different - sized boxes. one box contains 12 glasses, and the other contains 16 glasses. if the average number of glasses per box is 15, and there are 16 more of the larger boxes, what is the total number of glasses at the restaurant ? ( assume that all boxes are filled to capacity. )\nOptions: a. 96, b. 240, c. 56, d. 384, e. 480", "output": [ "e" ] }, { "id": "task1678-bb88c15ec07e474db2871bdc4f2689c6", "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": "task1678-b03bf5a495494520803025d39d004c63", "input": "Problem: if a train, travelling at a speed of 90 kmph, crosses a pole in 4 sec, then the length of train is ?\nOptions: a. 281, b. 125, c. 288, d. 100, e. 121", "output": [ "d" ] }, { "id": "task1678-ca576227be45471893e962bc46b8e3c8", "input": "Problem: john ' s bank ' s saving amount is decreased 20 % due to loan payment and current balance is rs. 24000. find the actual balance before deduction ?\nOptions: a. 8000, b. 8500, c. 9000, d. 9500, e. 30000", "output": [ "e" ] }, { "id": "task1678-97340a88f694421d90e0cddcccc2f4e6", "input": "Problem: 987.650 - ? + 56.98 = 126.654\nOptions: a. a. 899.015, b. b. 752.804, c. c. 714.642, d. d. 629.906, e. 917.976", "output": [ "e" ] }, { "id": "task1678-dede25fd4b094d3d8afc07992701cccb", "input": "Problem: two employees x and y are paid a total of rs. 700 per week by their employer. if x is paid 120 percent of the sum paid to y, how much is y paid per week ?\nOptions: a. s. 200.18, b. s. 240.18, c. s. 290.18, d. s. 300.18, e. s. 318.18", "output": [ "e" ] }, { "id": "task1678-e3398e43af234f589c7a464c23e5d3af", "input": "Problem: james took a 3 - hour bike ride. in the second hour he travlled 12 miles, which was 20 percent farther than he traveled the first hour. if he traveled 25 percent farther in the third hour than he did in the second hour, how many miles did jose travel during the entire ride ?\nOptions: a. 54.0, b. 54.9, c. 55.5, d. 37.0, e. 63.0", "output": [ "d" ] }, { "id": "task1678-be93b22549da478d8df4895b5ad3eaf4", "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": "task1678-e46e9795b43548838ca672d87da46e04", "input": "Problem: how many bricks each measuring 22 cm x 10.25 cm x 8 cm, will be needed to build a wall 9 m x 7 m x 10.5 m\nOptions: a. 5600, b. 3066, c. 3055, d. 7200, e. none of these", "output": [ "b" ] }, { "id": "task1678-4ab0554eba3243f1bc34a02e3043c59e", "input": "Problem: 60 percent of movie theatres in town x have 3 screens or less. 20 % of those theatres sell an average of more than $ 300 worth of popcorn per showing. 56 percent of all the movie theatres in town x sell $ 300 or less of popcorn per showing. what percent of all the stores on the street have 4 or more screens and sell an average of more than $ 300 worth of popcorn per day ?\nOptions: a. 12, b. 18, c. 32, d. 40, e. 44", "output": [ "c" ] }, { "id": "task1678-39ea03fd4e004a79b0ac899458eabc8a", "input": "Problem: the radius of a wheel is 22.4 cm. what is the distance covered by the wheel in making 600 resolutions ?\nOptions: a. 844.8 m, b. 704 m, c. 774 m, d. 714 m, e. 744 m", "output": [ "a" ] }, { "id": "task1678-197ab620065a45508b6024587469da5c", "input": "Problem: mr. depak has $ 449774 in his bank account. what is the least amount of money ( in whole number of dollars ) that he must add to his account if he wants to split this money evenly among her 6 best friends ? options :\nOptions: a. $ 1, b. $ 2, c. $ 3, d. $ 4, e. $ 6", "output": [ "a" ] }, { "id": "task1678-716ed55f46b44cf09f872d70ce182e6e", "input": "Problem: the ages of two person differ by 12 years. if 5 years ago, the elder one be 5 times as old as the younger one, their present ages ( in years ) are respectively\nOptions: a. 30, 10, b. 25, 5, c. 29, 9, d. 50, 30, e. 20, 8", "output": [ "e" ] }, { "id": "task1678-6695a52904814ca5bc8de4afc4423564", "input": "Problem: a cab driver 5 days income was $ 300, $ 150, $ 750, $ 200, $ 600. then his average income is ?\nOptions: a. $ 350, b. $ 375, c. $ 400, d. $ 425, e. $ 450", "output": [ "c" ] }, { "id": "task1678-0f47fab5e5964f818cc37415d6cfef91", "input": "Problem: 3 men and 8 women complete a task in same time as 6 men and 2 women do. how much fraction of work will be finished in same time if 4 men and 2 women will do that task.\nOptions: a. 5 / 7, b. 3 / 10, c. 5 / 18, d. 5 / 16, e. 5 / 11", "output": [ "a" ] }, { "id": "task1678-cb91448bf77a4cce948535e00c769ff7", "input": "Problem: a trained covered x km at 90 kmph and another 2 x km at 20 kmph. find the average speed of the train in covering the entire 3 x km.\nOptions: a. 22, b. 99, c. 27, d. 66, e. 887", "output": [ "c" ] }, { "id": "task1678-35303e08ec914462a2b9e7b1fb33bf9e", "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": "task1678-139f5c8d9fb9436188ad143bcc51f301", "input": "Problem: a triangle and a parallelogram are constructed on the same base such that their areas are equal. if the altitude of the parallelogram is 100 m, then the altitude of the triangle is.\nOptions: ['a. 10 √ 2 m', 'b. 100 m', 'c. 100 √ 2 m', 'd. 200 m', 'e. none']", "output": [ "d" ] }, { "id": "task1678-c64496ed68904e288dbc178e7b161a08", "input": "Problem: a man buys an item at rs. 1200 and sells it at the loss of 20 percent. then what is the selling price of that item\nOptions: a. rs. 660, b. rs. 760, c. rs. 860, d. rs. 960, e. none of these", "output": [ "d" ] }, { "id": "task1678-a43ef6db790141b9a85918dd9dd5e3de", "input": "Problem: a sum of money is distributed among w, x, y, z in the proportion of 4: 2: 5: 3. if y gets $ 500 more than z, what is the x ' s share ?\nOptions: a. $ 4000, b. $ 500, c. $ 2500, d. $ 2800, e. $ 1400", "output": [ "b" ] }, { "id": "task1678-ffc0f75d8d354737af7d8daf29f6e89d", "input": "Problem: a man rows his boat 110 km downstream and 90 km upstream, taking 3 hours each time. find the speed of the stream ?\nOptions: a. 6, b. 5, c. 7.5, d. 3.5, e. 2.5", "output": [ "d" ] }, { "id": "task1678-1e1a7a036a904dc38ab72bbc50849d79", "input": "Problem: five women can do a work in ten days. 7 men can complete the same work in 5 days. what is the ratio between the capacity of a man and a woman ?\nOptions: a. 10: 7, b. 11: 10, c. 2: 3, d. 3: 2, e. none of these", "output": [ "a" ] }, { "id": "task1678-19af69f3c46a4e078beca43c27bb92ed", "input": "Problem: a theater charges $ 12 for seats in the orchestra and $ 8 for seats in the balcony. on a certain night, a total of 340 tickets were sold for a total cost of $ 3,320. how many more tickets were sold that night for seats in the balcony than for seats in the orchestra ?\nOptions: a. 40, b. 110, c. 120, d. 130, e. 220", "output": [ "a" ] }, { "id": "task1678-a4ddf2a45e754bcc9af8c3a69269673e", "input": "Problem: right triangle abc is to be drawn in the xy - plane so that the right angle is at a and ab is parallel to the y - axis. if the x - and y - coordinates of a, b, and c are to be integers that are consistent with the inequalities - 8 ≤ x ≤ 2 and 4 ≤ y ≤ 9, then how many different triangles can be drawn that will meet these conditions ?\nOptions: a. 54, b. 4032, c. 2,160, d. 2,916, e. 148,824", "output": [ "b" ] }, { "id": "task1678-d37354d06cd64d0c907998024855d4e2", "input": "Problem: there are 8 stores in town that had a total of 22 visitors on a particular day. however, only 12 people went shopping that day; some people visited more than one store. if 8 people visited exactly two stores each, and everyone visited at least one store, what is the largest number of stores anyone could have visited ?\nOptions: a. 2, b. 3, c. 4, d. 5, e. 6", "output": [ "b" ] }, { "id": "task1678-bb8957d42de64a1fb93ef916a36e1aad", "input": "Problem: a set s = { x, - 8, - 5, - 1, 1, 6, 9, y } with elements arranged in increasing order. if the median and the mean of the set are the same, what is the value of | x | - | y | ?\nOptions: a. - 1, b. can not be determined, c. 1, d. 0, e. 2", "output": [ "e" ] }, { "id": "task1678-88a0ee28811c46cbb526c1c154b6f294", "input": "Problem: it takes avery 3 hours to build a brick wall while tom can do it in 3 hours. if the two start working together and after an hour avery leaves, how much time will it take tom to complete the wall on his own ?\nOptions: a. 20, b. 60, c. 30, d. 40, e. 50", "output": [ "b" ] }, { "id": "task1678-ef594656b67e46ba96215ecee9e6d007", "input": "Problem: a student got 70 % in one subject, 80 % in other. to get overall 75 % how much he should get in third subject.\nOptions: a. 65 %, b. 75 %, c. 85 %, d. 95 %, e. 88 %", "output": [ "b" ] }, { "id": "task1678-5a5847d6a18c464da86970f6c43b0308", "input": "Problem: 4 men and 3 women are lined up in a row. what is the number of cases where they stand with each other in turn ? ( the number of cases in which men ( or women ) do not stand next to each other )\nOptions: a. 12, b. 144, c. 18, d. 21, e. 24", "output": [ "b" ] }, { "id": "task1678-c5c1298c281c4ba3be39966ed227b806", "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": "task1678-67a6733b080441ed83f30d82a59eb8ec", "input": "Problem: a box contains 9 apples, 8 of which are red. an apple is drawn from the box and its color is noted before it is eaten. this is done a total of n times, and the probability that a red apple is drawn each time is less than 0.5. what is the smallest possible value of n ?\nOptions: a. 3, b. 4, c. 5, d. 6, e. 7", "output": [ "c" ] }, { "id": "task1678-35b2feaf74bb41c2a8b49f899af41e35", "input": "Problem: what is the units digit of ( 5 ! * 4 ! - 3 ! * 5 ! ) / 120\nOptions: a. 7, b. 8, c. 9, d. 4, e. 1", "output": [ "b" ] }, { "id": "task1678-20000508ed5446849632a5ae123803d6", "input": "Problem: the area of circle o is added to its diameter. if the circumference of circle o is then subtracted from this total, the result is 4. what is the area of circle o ?\nOptions: ['a. 2 / π', 'b. 2', 'c. 8', 'd. 4', 'e. 4 π']", "output": [ "e" ] }, { "id": "task1678-092dcbd700a44892b97988f1f909c793", "input": "Problem: ( 3080 + 6160 ) / 28\nOptions: a. 380, b. 350, c. 330, d. 310, e. none of these", "output": [ "c" ] }, { "id": "task1678-64a7c7d0cd394b4f8d8332b05686bbe2", "input": "Problem: the length of the bridge, which a train 130 metres long and travelling at 45 km / hr can cross in 30 seconds, is\nOptions: a. 200 m, b. 225 m, c. 245 m, d. 250 m, e. none", "output": [ "c" ] }, { "id": "task1678-48dbcfd2d4e64d31b75d5f33222f7972", "input": "Problem: the sum of the even numbers between 1 and n is 89 * 90, where n is an odd number, then n = ?\nOptions: a. 167, b. 173, c. 179, d. 185, e. 193", "output": [ "c" ] }, { "id": "task1678-77a0f0fc36d54d52b3f07ea4203048f6", "input": "Problem: a train 360 m long is running at a speed of 45 km / hr. in what time will be pass a bridge 140 m long ?\nOptions: a. 40 sec, b. 42 sec, c. 45 sec, d. 48 sec, e. none", "output": [ "a" ] }, { "id": "task1678-13d87f50d9864c70aa272a283f7ffb8d", "input": "Problem: a person distributed 10 % of his income to his 2 children each. he deposited 20 % of his income to his wife ' s account. he donated 10 % of remaining amount to an orphan house. finally he has $ 500. find his total income ?\nOptions: a. $ 900, b. $ 1000, c. $ 1200, d. $ 1150, e. $ 1500", "output": [ "b" ] }, { "id": "task1678-b5c0665221b4449ca2154ac5004190bd", "input": "Problem: if q is a positive integer and q ^ 2 is divisible by 12, then the largest positive integer that must divide q ^ 3 is\nOptions: a. 2 ^ 3, b. 2 ^ 6, c. 3 ^ 3, d. 6 ^ 3, e. 12 ^ 2", "output": [ "d" ] }, { "id": "task1678-9b20bfc40e2b45c6a292f64d9caade41", "input": "Problem: the average weight of 8 persons increases by 5 kg when a new person comes in place of one of them weighing 65 kg. what might be the weight of the new person ?\nOptions: a. 75 kg, b. 65 kg, c. 55 kg, d. 85 kg, e. 105 kg", "output": [ "e" ] }, { "id": "task1678-ae1e7da23bc24d86a231cccd8692f523", "input": "Problem: two cubes of their volumes in the ratio 64: 343. the ratio of their surface area is :\nOptions: a. 1.5: 5, b. 2: 5, c. 3: 5, d. 1: 5, e. 4: 7", "output": [ "e" ] }, { "id": "task1678-4844d9422f2d4d94921b7bf1fd00121c", "input": "Problem: if 2 ^ 2 n + 2 ^ 2 n + 2 ^ 2 n + 2 ^ 2 n = 4 ^ 28, then n =\nOptions: a. 3, b. 6, c. 12, d. 27, e. 24", "output": [ "d" ] }, { "id": "task1678-87c471b42f654973b968999ba8785269", "input": "Problem: a welder received an order to make a 1 million liter cube - shaped tank. if he has only 4 x 2 meter sheets of metal that can be cut, how many metal sheets will be required for this order y ? ( 1 cubic meter = 1000 liters )\nOptions: a. 92, b. 90, c. 82, d. 78, e. 75", "output": [ "e" ] }, { "id": "task1678-b9460ac62a81491aa22adca37879be5b", "input": "Problem: if a / b = 4 / 3, then ( 3 a + 2 b. / ( 3 a - 2 b. = ?\nOptions: a. 6, b. 3, c. 5, d. - 1, e. none", "output": [ "b" ] }, { "id": "task1678-05491df4feac4e108711b9487a216e80", "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": "task1678-549815c791ca4677a1cff81d0dfc9bb8", "input": "Problem: a train traveled the first d miles of its journey it an average speed of 40 miles per hour, the next d miles of its journey at an average speed of y miles per hour, and the final d miles of its journey at an average speed of 160 miles per hour. if the train ’ s average speed over the total distance was 96 miles per hour, what is the value of y ?\nOptions: a. 68, b. 84, c. 100, d. 120, e. 135", "output": [ "c" ] }, { "id": "task1678-5d8b2a8bceb741608e4947af41081559", "input": "Problem: a man spend 1 / 5 of his salary on food, 1 / 10 of his salary on house rent and 3 / 5 salary on clothes. he still has $ 15000 left with him. find salary..\nOptions: a. $ 150000, b. $ 18000, c. $ 180000, d. $ 1800, e. none", "output": [ "a" ] }, { "id": "task1678-ffa06cda12d1411984f13c140c9289f4", "input": "Problem: 17200 x 223 + 17200 x 77 = ?\nOptions: a. 2736900, b. 2738800, c. 2658560, d. 5160000, e. none of them", "output": [ "d" ] }, { "id": "task1678-ed0b455f74124f7f9adba3b4cf5788d1", "input": "Problem: how many cuboids of length 5 m, width 3 m and height 2 m can be farmed from a cuboid of 12 m length, 14 m width and 10 m height.\nOptions: a. 82, b. 56, c. 80, d. 56, e. 100", "output": [ "b" ] }, { "id": "task1678-40990f1d186c4a87b28dfb7df0ef9526", "input": "Problem: what is the lowest positive integer that is divisible by each of the integers 1 through 12 inclusive ?\nOptions: a. 420, b. 840, c. 1260, d. 2520, e. 27,720", "output": [ "e" ] }, { "id": "task1678-d1ae197492844a5392df373276bafbf4", "input": "Problem: the length of the bridge, which a train 160 m long and traveling at 45 km / hr can cross in 30 sec is ?\nOptions: a. 377, b. 367, c. 237, d. 215, e. 267", "output": [ "d" ] }, { "id": "task1678-bb62d9ece25f45e3a03e3639082d5b9a", "input": "Problem: car dealership x, the total profit from sales increased by 30 percent over the previous years, while the number of cars sold decreased by 30 percent over the previous years. approximately what was the average percent increase in profit per car over the previous year.\nOptions: a. 18 %, b. 30 %, c. 52 %, d. 63 %, e. 85.71 %", "output": [ "e" ] }, { "id": "task1678-5cda49d0cddd42f3ae7e24af7548091b", "input": "Problem: arun and tarun can do a work in 10 days. after 4 days tarun went to his village. how many days are required to complete the remaining work by arun alone. arun can do the work alone in 30 days.\nOptions: a. 16 days., b. 17 days., c. 18 days., d. 19 days., e. 20 days.", "output": [ "c" ] }, { "id": "task1678-5244d6e3f52a44cda2bb150454b0ff9c", "input": "Problem: 10 men and 15 women together can complete a work in 8 days. it takes 100 days for one man alone to complete the same work. how many days will be required for one woman alone to complete the same work ?\nOptions: a. 127 days, b. 667 days, c. 177 days, d. 187 days, e. 600 days", "output": [ "e" ] }, { "id": "task1678-b9fd9e191589403ab74afa0482113515", "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": "task1678-0cd89621abcf4bffb60da6bd41fdf07e", "input": "Problem: a train which has 390 m long, is running 45 kmph. in what time will it cross a person moving at 9 kmph in same direction ?\nOptions: a. 26 sec, b. 39 sec, c. 36 sec, d. 29 sec, e. 30 sec", "output": [ "b" ] }, { "id": "task1678-58c98fe3eb7c44a98897679fc4fc33cb", "input": "Problem: if the simple interest on a sum of money for 2 years at 5 % per annum is rs. 50, what is the compound interest on the same sum at the rate and for the same time ?\nOptions: a. rs. 51.25, b. rs. 51.27, c. rs. 51.79, d. rs. 51.8, e. rs. 51.93", "output": [ "a" ] }, { "id": "task1678-e29cf8cf5e764709958ed220726d4d6c", "input": "Problem: the price of a bushel of corn is currently $ 3.20, and the price of a peck of wheat is $ 6.80. the price of corn is increasing at a constant rate of 5 x cents per day while the price of wheat is decreasing at a constant rate of x ( 2 ^ 1 / 2 ) - x cents per day. what is the approximate price when a bushel of corn costs the same amount as a peck of wheat ?\nOptions: a. $ 4.50, b. $ 5.10, c. $ 5.30, d. $ 5.50, e. $ 6.50", "output": [ "e" ] }, { "id": "task1678-73490f28e14d44249c140c0e22200bf0", "input": "Problem: a person borrows 9000 for 9 years at 3 % p. a. simple interest. he immediately lends it to another person at 7 % p. a. for 9 years. find his gain in the transaction per year.\nOptions: a. 380, b. 360, c. 340, d. 300, e. 180", "output": [ "b" ] }, { "id": "task1678-44d9089687cf4aceba2e2016c0f2ef3c", "input": "Problem: 2001 + 1015\nOptions: a. 8390, b. 3016, c. 2808, d. 3890, e. 2080", "output": [ "b" ] }, { "id": "task1678-4e5a5936b2ce4bf18e48657ee29476d3", "input": "Problem: a shopkeeper has 280 kg of apples. he sells 40 % of these at 30 % profit and remaining 60 % at 30 % profit. find his % profit on total.\nOptions: a. 24 %, b. 25 %, c. 26 %, d. 28 %, e. 30 %", "output": [ "e" ] }, { "id": "task1678-ae6f5522095b469ca53fe39c65f93b5b", "input": "Problem: the speed of a boat in still water in 42 km / hr and the rate of current is 4 km / hr. the distance travelled downstream in 44 minutes is :\nOptions: a. 86.6 km, b. 46.6 km, c. 33.7 km, d. 35.6 km, e. 26.6 km", "output": [ "c" ] }, { "id": "task1678-7d561c9da5774d688975d9e3a24ea9f3", "input": "Problem: the average expenditure of a labourer for 5 months was 85 and he fell into debt. in the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30. his monthly income is\nOptions: a. 69.5, b. 71.2, c. 60.4, d. 62.1, e. 72.1", "output": [ "a" ] }, { "id": "task1678-03de13bbc73e4a7abc29f5515b713e8a", "input": "Problem: a rectangular field has a length 10 meters more than it is width. if the area of the field is 119, what is the length ( in meters ) of the rectangular field ?\nOptions: a. 13, b. 15, c. 17, d. 19, e. 21", "output": [ "c" ] }, { "id": "task1678-a9f6c7def3884244a55a6d7fa1437bf3", "input": "Problem: in country z, 12 % of the people do not have a university diploma but have the job of their choice, and 25 % of the people who do not have the job of their choice have a university diploma. if 40 % of the people have the job of their choice, what percent of the people have a university diploma ?\nOptions: a. 35 %, b. 43 %, c. 55 %, d. 65 %, e. 75 %", "output": [ "b" ] }, { "id": "task1678-e93e629258af47f3a16a103073acaaf0", "input": "Problem: in a village of 2,500 people, 800 people are over 70 years old and 850 people are female. it is known that 40 percent of the females are younger than 70 years old. if no one in the village is 70 years old, what is the probability that a person chosen at random is either a male or younger than 70 years old ?\nOptions: a. 221 / 250, b. 199 / 250, c. 33 / 50, d. 8 / 25, e. 51 / 250", "output": [ "b" ] }, { "id": "task1678-4be22ede23e54484a080bc7cd170ec10", "input": "Problem: two pipes a and b can separately fill a tank in 12 and 15 minutes respectively. a third pipe c can drain off 56 liters of water per minute. if all the pipes are opened, the tank can be filled in 15 minutes. what is the capacity of the tank ?\nOptions: a. 549, b. 540, c. 542, d. 672, e. 279", "output": [ "d" ] }, { "id": "task1678-10f7bd6bc19244279918162c1ded7aae", "input": "Problem: country c imposes a two - tiered tax on imported cars: the first tier imposes a tax of 12 % of the car ' s price up to a certain price level. if the car ' s price is higher than the first tier ' s level, the tax on the portion of the price that exceeds this value is 8 %. if ron imported a $ 14,000 imported car and ended up paying $ 1640 in taxes, what is the first tier ' s price level ?\nOptions: a. $ 1600, b. $ 6000, c. $ 6050, d. $ 7050, e. $ 13000", "output": [ "e" ] }, { "id": "task1678-980a582ded91446eafca76a93cedd664", "input": "Problem: in 10 years, a will be twice as old as b was 10 years ago. if a is now 5 years older than b the present age of b is\nOptions: a. 37, b. 38, c. 39, d. 35, e. 41", "output": [ "d" ] }, { "id": "task1678-22d1b37f56d042ba81f6e46ef49a1885", "input": "Problem: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many ways can the test be completed if every question is unanswered ?\nOptions: a. 24, b. 120, c. 625, d. 720, e. 1024", "output": [ "c" ] }, { "id": "task1678-a1d30011e6ec4515a0d08d2256ccd429", "input": "Problem: 1257 1275 1527................ + 7521 the addition problem above shows 4 of the 24 different integers that can be formed by using each of the digits 1, 25 and 7 exactly once in each integer. what is the sum t of the 24 integers ?\nOptions: a. 26996, b. 44406, c. 60444, d. 66660, e. 99990", "output": [ "e" ] }, { "id": "task1678-c998644a083240c1b373ee354bc7804e", "input": "Problem: john invests $ x at the semi - annual constant compounded rate of 2 percent and also does $ 20,000 at the quarterly constant compounded rate of 4 percent. if the interests are the same after 1 year, what is the value of x ? ?\nOptions: a. 40,402, b. 40404, c. 40000, d. 50000, e. 50005", "output": [ "a" ] }, { "id": "task1678-7b19e64b5c92486d96800fcd4c498220", "input": "Problem: convert the 1 / 3 m / s into kilometers per hour ?\nOptions: a. 2.9 kmph, b. 9.9 kmph, c. 1.3 kmph, d. 1.2 kmph, e. 5.7 kmph", "output": [ "d" ] }, { "id": "task1678-5b6abc358830428fbe74d9e3ebc09937", "input": "Problem: if x, y, and z are positive integers, and 3 x = 5 y = 6 z, then the least possible value of x + y + z is\nOptions: a. 21, b. 28, c. 37, d. 42, e. 60", "output": [ "a" ] }, { "id": "task1678-08be595d23d34d54933ff6ff37ff91ae", "input": "Problem: evaluate: 19 + sqrt ( - 2 + 12 ã — 6 ã · 9 ) = ?\nOptions: a. 51, b. 53, c. 55, d. 57, e. 59", "output": [ "c" ] }, { "id": "task1678-e8cdce806a7a442a8bfca7ea7f31bdde", "input": "Problem: the total number of digits used in numbering the pages of a book having 369 pages is\nOptions: a. 732, b. 990, c. 999, d. 1305, e. 1405", "output": [ "c" ] }, { "id": "task1678-f848c0d697ad41e986762e910f157e6f", "input": "Problem: when 732 is subtracted form the square of a number, the answer that is obtained is 5280. what is the number ?\nOptions: ['a. 228', 'b. 103', 'c. 286', 'd. 122', 'e. 102']", "output": [ "b" ] }, { "id": "task1678-30abbd207acf4300bc5c2e2ea90c8a74", "input": "Problem: the average height of 35 boys in a class was calculated as 182 cm. it has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm. find the actual average height of the boys in the class ( round off your answer to two decimal places ?\nOptions: a. 187.89 cm, b. 180.29 cm, c. 123.98 cm, d. 149.98 cm, e. 146.89 cm", "output": [ "b" ] }, { "id": "task1678-064ba641afe140e59aebd6b930e6543d", "input": "Problem: the length of a train and that of a platform are equal. if with a speed of 108 k / hr, the train crosses the platform in one minute, then the length of the train ( in meters ) is ?\nOptions: a. 299, b. 266, c. 299, d. 900, e. 261", "output": [ "d" ] }, { "id": "task1678-874212da725a4d69a2d6b94a76556a51", "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": "task1678-0101fc94cacf4dc891ad7c21e5973f30", "input": "Problem: ravi and sunil are partners in a business. ravi invests rs. 12,000 for 4 months and sunil invested rs. 10000 for 5 months then after one year ratio of their profits will be\nOptions: a. 1: 3, b. 2: 3, c. 24: 25, d. 20: 22, e. 3: 4", "output": [ "c" ] }, { "id": "task1678-20745baedadf4c1c962d4bb6d4dcf2d4", "input": "Problem: the value of “ a ” varies in inverse proportion as the square of “ b ”. if the value of “ a ” is equal to 40 when “ b ” is equal to 12. what would be the value of “ a ” when “ b ” is equal to 24 ?\nOptions: ['a. 10', 'b. 88', 'c. 26', 'd. 27', 'e. 28']", "output": [ "a" ] }, { "id": "task1678-e504bcba9593474ea06c38bfde4587c4", "input": "Problem: the dimensions of a room are 25 feet * 15 feet * 12 feet. what is the cost of white washing the four walls of the room at rs. 4 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each ?\nOptions: a. 4000, b. 3624, c. 5673, d. 4530, e. 4566", "output": [ "b" ] }, { "id": "task1678-fe3c92c32d164bc7bbb70d6f88442aaa", "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": "task1678-38c1572e426e4d9a91792bf4a77b440c", "input": "Problem: if two painters can complete two rooms in two hours, how many hours 10 painters would it take to do 20 rooms ?\nOptions: a. 4, b. 3, c. 5, d. 8, e. 7", "output": [ "a" ] }, { "id": "task1678-f5cfdfeb628a44649b0495501984091b", "input": "Problem: convert 0.32 in to a vulgar fraction ?\nOptions: a. 8 / 25, b. 16 / 50, c. 17 / 50, d. 19 / 50, e. none", "output": [ "a" ] }, { "id": "task1678-a1517022600c41a48f08b8b9ef35ce73", "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": "task1678-3733415726644c158b1450e52816b7e1", "input": "Problem: the sum of three consecutive even numbers is 63, find the last one ?\nOptions: a. 26, b. 24, c. 21, d. 23, e. 19", "output": [ "d" ] }, { "id": "task1678-76269feb3ec944dba078122ce52abb72", "input": "Problem: a cycle is bought for rs. 900 and sold for rs. 1170, find the gain percent ?\nOptions: a. 27 %, b. 20 %, c. 80 %, d. 30 %, e. 24 %", "output": [ "d" ] }, { "id": "task1678-3f8e9a3dfec74fee9eb8e4c721a363b1", "input": "Problem: rs 378 is divided among the 3 children such that 12 times of anusha is equal to 8 times of babu which is equal to 6 times of esha. how much the rupee anusha get ?\nOptions: a. 74, b. 84, c. 94, d. 104, e. 114", "output": [ "b" ] }, { "id": "task1678-080d10ad874046efb20bed2c193e86d0", "input": "Problem: the price of 10 chairs is equal to that of 4 tables. the price of 15 chairs and 2 tables together is rs. 4000. the total price of 12 chairs and 3 tables is ?\nOptions: a. rs. 3900, b. rs. 4900, c. rs. 4980, d. rs. 5000, e. rs. 5900", "output": [ "a" ] }, { "id": "task1678-2ecc1585aae1489a8af229e305096ce4", "input": "Problem: a and b are two multiples of 14, and q is the set of consecutive integers between a and b, inclusive. if q contains 12 multiples of 14, how many multiples of 7 are there in q ?\nOptions: a. 20, b. 21, c. 22, d. 23, e. 24", "output": [ "d" ] }, { "id": "task1678-f9cc921eec3542d88a76e6893991cdcf", "input": "Problem: the average age of 15 students of a class is 15 years. out of these, the average age of 6 students is 14 years and that of the other 8 students is 16 years. the age of the 15 th student is\nOptions: a. 9 years, b. 13 years, c. 14 years, d. 21 years, e. 25 years", "output": [ "b" ] }, { "id": "task1678-164c1d48378c49b6ab1681e5f4f23bad", "input": "Problem: a can do a work in 6 days. b can do the same work in 12 days. if both a & b are working together in how many days they will finish the work ?\nOptions: a. 3, b. 5, c. 4, d. 2, e. 6", "output": [ "c" ] }, { "id": "task1678-be2f6c0be3ec47a38e418cb6dab5f5e8", "input": "Problem: in an organisation there are 1000 employees out of which 250 earn below 10 k $ and 500 earn between 10 k $ and 50 k $. what is the total percentage of employees who earn less than 50 k $ ?\nOptions: a. 66 %, b. 75 %, c. 70 %, d. 50 %, e. 82 %", "output": [ "b" ] }, { "id": "task1678-920a1d0cba97482caf4b3e011e7c2881", "input": "Problem: how many quarters are equal to 6 dollars ?\nOptions: a. 1, b. 8, c. 12, d. 9, e. 24", "output": [ "e" ] }, { "id": "task1678-9101916fb1aa4173922e741c7442dc94", "input": "Problem: the difference between the place value and the face value of 9 in the numeral 856973 is\nOptions: a. 973, b. 891, c. 5994, d. 6084, e. none of these", "output": [ "b" ] }, { "id": "task1678-ff2538ea68844ae4b8af37ed6d681ad7", "input": "Problem: the price of 2 sarees and 4 shirts is rs. 1600. with the same money one can buy 1 saree and 6 shirts. if one wants to buy 12 shirts, how much shall he have to pay ?\nOptions: a. 2500, b. 2700, c. 2200, d. 2900, e. 2400", "output": [ "e" ] }, { "id": "task1678-517fbd0fc4e74fa48c5dbd33a90056c6", "input": "Problem: in a company with 48 employees, some part - time and some full - time, exactly ( 1 / 3 ) of the part - time employees and ( 1 / 4 ) of the full - time employees take the subway to work. what is the greatest possible number y of employees who take the subway to work ?\nOptions: a. 12, b. 13, c. 14, d. 15, e. 16", "output": [ "d" ] }, { "id": "task1678-14b6dac479984cfbb6bc3c0a6cce9e44", "input": "Problem: a garden center sells a certain grass seed in 5 - pound bags at $ 13.80 per bag, 10 - pound bags at $ 20.43 per bag, and 25 - pound bags $ 32.25 per bag. if a customer is to buy at least 65 pounds of the grass seed, but no more than 80 pounds, what is the least possible cost of the grass seed that the customer will buy ?\nOptions: a. $ 98.73, b. $ 96.75, c. $ 98.78, d. $ 102.07, e. $ 105.3", "output": [ "a" ] }, { "id": "task1678-d950d15d2a8a4ff8826de0f54387c1b3", "input": "Problem: in the manufacture of a certain product, 5 percent of the units produced are defective and 4 percent of the defective units are shipped for sale. what percent of the units produced are defective units that are shipped for sale ?\nOptions: a. 0.125 %, b. 0.2 %, c. 0.8 %, d. 1.25 %, e. 2.0 %", "output": [ "b" ] }, { "id": "task1678-0e3ff06f52fc41cb94ac5065c407898a", "input": "Problem: a student appeared in the mock cat. the test paper contained 3 sections namely qa, di and va. the percentage marks in all va was equal to the average of percentage marks in all the 3 sections. coincidentally, if we reverse the digit of the percentage marks of qa we get the percentage marks of di. the percentage marks in va scored by student could be :\nOptions: a. 81, b. 48, c. 66, d. 69, e. none of these", "output": [ "c" ] }, { "id": "task1678-06b14453ee1c420a9d18d5a66739e2c8", "input": "Problem: a cube of side 5 meter length is cut into small cubes of side 25 cm each. how many such small cubes can be obtained ?\nOptions: a. 10781, b. 1276, c. 1000, d. 8000, e. 5000", "output": [ "d" ] }, { "id": "task1678-9129fdc3bcea4e88bcd3be726d3001bd", "input": "Problem: two trains of equal are running on parallel lines in the same direction at 45 km / hr and 36 km / hr. the faster train passes the slower train in 36 sec. the length of each train is ?\nOptions: a. 45, b. 88, c. 66, d. 55, e. 22", "output": [ "a" ] }, { "id": "task1678-b09dfcc671bb43708a7984fc89b43943", "input": "Problem: what is the value of ( p + q ) / ( p - q ) if p / q is 6 ?\nOptions: a. 4 / 3, b. 2 / 3, c. 2 / 6, d. 7 / 5, e. 8 / 7", "output": [ "d" ] }, { "id": "task1678-a187ab287293488bbeb6dfb50bb708f6", "input": "Problem: a boat having a length 3 m and breadth 2 m is floating on a lake. the boat sinks by 2 cm when a man gets on it. the mass of man is\nOptions: a. 12 kg, b. 60 kg, c. 72 kg, d. 120 kg, e. none", "output": [ "d" ] }, { "id": "task1678-916de6332acd4a0daccd4c1f47a944b0", "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": "task1678-85d816b2388443c4ab80c810ae8f7370", "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": "task1678-4204584df97c4b798ef97a8313e207a6", "input": "Problem: if the personal income tax rate is lowered from 46 % to 32 %, what is the differential savings for a tax payer having an annual income before tax to the tune of $ 36000 ?\nOptions: a. $ 3500, b. $ 5040, c. $ 3150, d. $ 7000, e. $ 10000", "output": [ "b" ] }, { "id": "task1678-ff82aeaa83eb415caad4789d845b8104", "input": "Problem: how many unique positive odd integers less than 100 are equal to the product of a positive multiple of 5 and an odd number ?\nOptions: a. 4, b. 10, c. 11, d. 12, e. 15", "output": [ "b" ] }, { "id": "task1678-0924898934034ca68fffe0c2acde00c3", "input": "Problem: how long does a train 165 meters long running at the rate of 54 kmph take to cross a bridge 625 meters in length ?\nOptions: a. 62, b. 72, c. 55, d. 82, e. 52.7", "output": [ "e" ] }, { "id": "task1678-fb14ed236c224ef59907012723b8316a", "input": "Problem: what is 2 2 / 3 - 1 1 / 4 divided by 1 / 2 - 1 / 4 ?\nOptions: a. 17 / 36, b. 36 / 17, c. 17 / 6, d. 17 / 3, e. 51 / 4", "output": [ "d" ] }, { "id": "task1678-b8385833ce01448290f075e9c83fd7ac", "input": "Problem: the length of a rectangle is one fourth of the radius of a circle. the radius of the circle is equal to the side of the square, whose area is 784 sq. units. what is the area ( in sq. units ) of the rectangle if the rectangle if the breadth is 5 units ?\nOptions: ['a. 35 sq. units', 'b. 45 sq. units', 'c. 55 sq. units', 'd. 50 sq. units', 'e. 40 sq. units']", "output": [ "a" ] }, { "id": "task1678-704cd8c931a74df0a7804683d6796781", "input": "Problem: 33 1 / 3 % of 36 ?\nOptions: a. 16, b. 21, c. 18, d. 12 number, e. 18", "output": [ "d" ] }, { "id": "task1678-a03aca6c16484348ac6c2347afb272e4", "input": "Problem: an engine moves at the speed of 30 kmph without any coaches attached to it. speed of the train reduces at the rate that varies directly as the square root of the number of coaches attached. when 9 coaches are attached speed decreases to 18 kmph. what will be the speed of train when 16 coaches are attached.\nOptions: a. 14, b. 16, c. 18, d. 20, e. 22", "output": [ "a" ] }, { "id": "task1678-ffcad14566054455a96685500a9186a1", "input": "Problem: if 20 typists can type 50 letters in 30 minutes, then how many letters will 40 typists working at the same rate complete in 1 hour ?\nOptions: a. 400, b. 500, c. 350, d. 250, e. 200", "output": [ "a" ] }, { "id": "task1678-eb00205c35fc44eca55487a97e1bef6b", "input": "Problem: a man whose speed is 3 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey ?\nOptions: a. 7, b. 4, c. 3, d. 9, e. 3.6", "output": [ "e" ] }, { "id": "task1678-7fba41462b9b4848a2bc305133ce5c86", "input": "Problem: at joes steakhouse the hourly wage for a chef is 20 % greater than that of a dishwasher, and the hourly wage of a dishwasher is half as much as the hourly wage of a manager. if a managers wage is $ 10.50 per hour, how much less than a manager does a chef earn each hour ?\nOptions: a. $ 1.40, b. $ 2.40, c. $ 3.40, d. $ 4.40, e. $ 4.30", "output": [ "e" ] }, { "id": "task1678-231f89e9354441ddb6e5062de7d7e2b2", "input": "Problem: if the height of a cone is increased by 140 % then its volume is increased by ?\nOptions: ['a. 100', 'b. 140', 'c. 998', 'd. 729', 'e. 2879']", "output": [ "b" ] }, { "id": "task1678-785891010fae46abb2b383a3c53d7f4b", "input": "Problem: 1345 - ( 1002 / 20.04 ) = ?\nOptions: a. 2984, b. 2983, c. 2982, d. 1295, e. none of these", "output": [ "d" ] }, { "id": "task1678-d30af6b6e11b400d88af263490ef2ed8", "input": "Problem: the guests at a football banquet consumed a total of 325 pounds of food. if no individual guest consumed more than 2 pounds of food, what is the minimum number of guests that could have attended the banquet ?\nOptions: a. 160, b. 161, c. 162, d. 163, e. 164", "output": [ "d" ] }, { "id": "task1678-c860efbf68cc46779bde800e24212af2", "input": "Problem: if money is invested at r percent interest, compounded annually, the amount of the investment will double in approximately 24 / r years. if pat ' s parents invested $ 6,000 in a long - term bond that pays 8 percent interest, compounded annually, what will be the approximate total amount of the investment 18 years later, when pat is ready for college ?\nOptions: a. $ 20000, b. $ 15000, c. $ 12000, d. $ 10000, e. $ 30000", "output": [ "e" ] }, { "id": "task1678-bfb5dac42b2e4e57ba3ab9eb5e864061", "input": "Problem: how many 3 - digit numbers abc, in which a, b, and c are each digits, satisfy the equation 2 b = a + c ?\nOptions: a. 33, b. 36, c. 41, d. 45, e. 50", "output": [ "d" ] }, { "id": "task1678-a4f2402572cf422ba8d74d608acf75b1", "input": "Problem: in cliff ’ s impressive rock collection, there are half as many igneous rocks as sedimentary rocks. of the igneous rocks, 2 / 3 are shiny and the rest are matte, while 1 / 5 of the sedimentary rocks are shiny. if there are 40 shiny igneous rocks, how many total rocks does cliff have ?\nOptions: a. 180, b. 45, c. 60, d. 90, e. 135", "output": [ "a" ] }, { "id": "task1678-d3f24b62e6014224ae74ae4e4bfe327a", "input": "Problem: 3 sets of 40, 50 and 60 students appeared for an examination and the pass percentage was 100, 90 and 80 respectively. the pass percentage of the whole set is\nOptions: a. 88.33, b. 84.33, c. 88.66, d. 84.66, e. none of these", "output": [ "c" ] }, { "id": "task1678-36a23170cbc340b2abad186f968f9e66", "input": "Problem: a bag of potatoes weighs 60 lbs divided by half of its weight. how much does the bag of potatoes weight ?\nOptions: a. 20 lb, b. 11 lb, c. 10 lb, d. 15 lb, e. 5 lb", "output": [ "b" ] }, { "id": "task1678-a086a83ca1364df7afbdb1961798c4fa", "input": "Problem: ake can dig a well in 16 days. paul can dig the same well in 24 days. jake, paul and hari together dig the well in 8 days. hari alone can dig the well in\nOptions: a. 48, b. 39, c. 37, d. 27, e. 29", "output": [ "a" ] }, { "id": "task1678-769d84080a5548d9b0dfb95ead0496fd", "input": "Problem: a man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream. the ratio of the speed of the boat ( in still water ) and the stream is\nOptions: a. 1: 2, b. 1: 3, c. 2: 1, d. 3: 1, e. none", "output": [ "d" ] }, { "id": "task1678-32556c10f4c4494b9ccee7a4f669506e", "input": "Problem: a can complete the job in 6 hours and b can complete the same job in 3 hours. a works for 1 hour and then b joins and both complete the job. what fraction of the job did b complete\nOptions: a. 1 / 9, b. 3 / 10, c. 1 / 2, d. 5 / 6, e. 8 / 9", "output": [ "a" ] }, { "id": "task1678-38514e9d11174dca9f873625ec691a26", "input": "Problem: list r contains 5 numbers that have an average value of 60. if the median of the numbers in the list is equal to the mean and the largest number is equal to 20 more than two times the smallest number, what is the smallest possible value in the list ?\nOptions: a. 25, b. 28, c. 31, d. 34, e. 37", "output": [ "b" ] }, { "id": "task1678-688b83bd34dd4c59adbc55d74a36a6d6", "input": "Problem: evaluate: 98612 / 22 * 11 * 70 = ?\nOptions: a. 700.4, b. 704.4, c. 740.4, d. 744.4, e. 700.0", "output": [ "b" ] }, { "id": "task1678-e5c9d26cc0eb44f8a1bffff1897a8379", "input": "Problem: if a - b = 6 and a 2 + b 2 = 50, find the value of ab.\nOptions: a. a. 7, b. b. 12, c. c. 15, d. d. 18, e. e. 20", "output": [ "a" ] }, { "id": "task1678-da776af759c24185a630d71aa8d041c2", "input": "Problem: in 5 football games thus far this season, barry has run for 98, 107, 85, 89, and 91 yards. at a minimum, how many yards m will he need to gain this sunday if he wants to keep his season average above 100 yards ?\nOptions: a. 101, b. 116, c. m = 130, d. m = 131, e. m = 141", "output": [ "d" ] }, { "id": "task1678-b4a1b0613be9423eb4a8e28d0efc149d", "input": "Problem: the price of 3 pants and 6 t - shirts is rs. 750. with the same money one can buy 1 pant and 12 t - shirts. if one wants to buy 8 t - shirts, how much shall she have to pay ?\nOptions: a. 150, b. 250, c. 400, d. 450, e. 550", "output": [ "c" ] }, { "id": "task1678-2c6273408f934971990d354bfd3cded0", "input": "Problem: a certain debt will be paid in 65 installments from january 1 to december 31 of a certain year. each of the first 20 payments is to be $ 410; each of the remaining payments is to be $ 65 more than each of the first 20 payments. what is the average ( arithmetic mean ) payment that will be made on the debt for the year ?\nOptions: a. 443, b. 455, c. 465, d. 468, e. 475", "output": [ "b" ] }, { "id": "task1678-fbb00042bea5440e8623b0cb9a72ad16", "input": "Problem: in 7 given numbers, the average of first 4 numbers is 4 and that of last 4 numbers is also 4. if the average of these 7 numbers is 3, the fourth number is ?\nOptions: a. 3, b. 4, c. 7, d. 11, e. 12", "output": [ "d" ] }, { "id": "task1678-83a671d648834397a8d39e4af4b88177", "input": "Problem: in a certain parking lot, 4 % of the cars are towed for parking illegally. however 80 % of the cars which are parked illegally are not towed. what percentage of cars in the parking lot are parked illegally ?\nOptions: a. 20 %, b. 25 %, c. 30 %, d. 35 %, e. 40 %", "output": [ "a" ] }, { "id": "task1678-3537168d4e014d05a060b6862f2bc03c", "input": "Problem: at the beginning of a year, the owner of a jewel shop raised the price of all the jewels in his shop by x % and lowered them by x %. the price of one jewel after this up and down cycle reduced by rs. 100. the owner carried out the same procedure after a month. after this second up - down cycle, the price of that jewel was rs. 2304. find the original price of that jewel ( in rs. )\nOptions: a. 2500, b. 550, c. 2600, d. 2650, e. none of these", "output": [ "a" ] }, { "id": "task1678-9aae38dcd8524b33abb9c9f301ba9d7d", "input": "Problem: in goshawk - eurasian nature reserve 30 percent of the birds are hawks, and 40 percent of the non - hawks are paddyfield - warblers. if there are 25 percent as many kingfishers as paddyfield - warblers in the reserve, then what percent of the birds in the nature reserve are not hawks, paddyfield - warblers, or kingfishers ?\nOptions: a. 25 %, b. 35 %, c. 45 %, d. 70 %, e. 80 %", "output": [ "b" ] }, { "id": "task1678-657aafb5f2dc467c979f9ffe2eb5f3f9", "input": "Problem: a bag contains 6 black and 4 white balls. one ball is drawn at random. what is the probability that the ball drawn is white ?\nOptions: a. 3 / 4, b. 2 / 5, c. 1 / 7, d. 1 / 8, e. 4 / 3", "output": [ "b" ] }, { "id": "task1678-42860ea073cc4345b4e89212160bb718", "input": "Problem: alfred buys an old scooter for $ 4700 and spends $ 600 on its repairs. if he sells the scooter for $ 5800, his gain percent is ?\nOptions: a. 5.45 %, b. 6.23 %, c. 7 %, d. 9.43 %, e. 10 %", "output": [ "d" ] }, { "id": "task1678-4ac9e65a904341e8ad0a90b049f08b67", "input": "Problem: ( 4300531 ) - ? = 2535618\nOptions: a. 1865113, b. 1775123, c. 1764913, d. 1675123, e. none of them", "output": [ "c" ] }, { "id": "task1678-3c1d1f37fd564a2b90068488d17ea270", "input": "Problem: a dog is tied to a tree by a long nylon cord. if the dog runs from the due north side of the tree to the due south side of the tree with the cord extended to its full length at all items, and the dog ran approximately 30 feet, what was the approximate length of the nylon cord, in feet ?\nOptions: a. 30, b. 25, c. 15, d. 10, e. 5", "output": [ "d" ] }, { "id": "task1678-23f0929aa65846a3b6fd175d560509a2", "input": "Problem: the sum of two numbers is 66. how much should be added to the sum for it to be exactly divisible by 9 leaving 0 as the reminder ?\nOptions: a. 6, b. 7, c. 8, d. 9, e. 1", "output": [ "a" ] }, { "id": "task1678-1763461f78384f2a991ee44ea1e0e4f2", "input": "Problem: what is next no. 11 23 47 83 131 191 263 347 443 551 ? ? ?\nOptions: a. 171, b. 181, c. 191, d. 201, e. 671", "output": [ "e" ] }, { "id": "task1678-71eb66a98638420fb0e4398c40ce6020", "input": "Problem: zinc and copper are melted together in the ratio 9: 11. what is the weight of melted mixture, if 31.5 kg of zinc has been consumed in it ?\nOptions: a. 58 kg, b. 60 kg, c. 64 kg, d. 70 kg, e. none", "output": [ "d" ] }, { "id": "task1678-453b2704a4fa492f83a0b8472409cc99", "input": "Problem: a man is 20 years older than his son. in two years, his age will be twice the age of his son. the present age of his son is\nOptions: a. 16, b. 14, c. 15, d. 18, e. 20", "output": [ "d" ] }, { "id": "task1678-3efc2c9a727b485db3abc69698c2bc23", "input": "Problem: a person buys an article at rs. 400. at what price should he sell the article so as to make a profit of 40 % ?\nOptions: a. 600, b. 277, c. 560, d. 261, e. 281", "output": [ "c" ] }, { "id": "task1678-01b5892820e04165abe93e59f3e5741a", "input": "Problem: an order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. what be the cost of a carpet whose length and breadth are 40 % more and 25 % more respectively than the first carpet. given that the ratio of carpet is rs. 45 per sq m ?\nOptions: a. rs. 3642.40, b. rs. 3868.80, c. rs. 4216.20, d. rs. 4082.40, e. none of these", "output": [ "d" ] }, { "id": "task1678-07be5161679f49889bdff4c5c4444ed6", "input": "Problem: jack, jill, and sandy each have one try to make a basket from half court. if their individual probabilities of making the basket are 1 / 6, 1 / 7, and 1 / 8 respectively, what is the probability that jill and sandy will make a basket but jack will miss ?\nOptions: a. 3 / 168, b. 5 / 168, c. 7 / 168, d. 5 / 336, e. 7 / 336", "output": [ "d" ] }, { "id": "task1678-1cf6c8739c7e48268766b42db1b403c4", "input": "Problem: a man sitting in a train which is travelling at 100 kmph observes that a goods train, travelling in opposite direction, takes 9 seconds to pass him. if the goods train is 280 m long, find its speed ?\nOptions: a. 52 kmph., b. 62 kmph., c. 12 kmph., d. 80 kmph., e. none", "output": [ "c" ] }, { "id": "task1678-e2505bc20eda4323801c30f4a5d4f85f", "input": "Problem: a 11 % stock yields 8 %. the market value of the stock is :\nOptions: a. rs. 72, b. rs. 137.50, c. rs. 112.50, d. rs. 116.50, e. none of these", "output": [ "b" ] }, { "id": "task1678-36187f5509e74dd9ba077f5ccd50a9c3", "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": "task1678-f8972071342d4a85ba1d7671b0494199", "input": "Problem: yesterday it took robert 3 hours to drive from city a to city b. today it took robert 2.5 hours to drive back from city в to city a along the same route. if he had saved 30 minutes in both trips, the speed for the round trip would be 80 miles per hour. what is the distance between city a and city b ?\nOptions: a. 90, b. 180, c. 150, d. 240, e. 300", "output": [ "b" ] }, { "id": "task1678-bd50dd38f1124c92924d8e51a18a1b25", "input": "Problem: if abc = ab ^ 3 = 180 where a, b and c are positive integers, what is the value of ` c ’ ?\nOptions: a. 0, b. 1, c. 2, d. 3, e. 4", "output": [ "b" ] }, { "id": "task1678-99945c54b3b149c484eef0972afe826a", "input": "Problem: each of the cucumbers in 100 pounds of cucumbers is composed of 99 % water, by weight. after some of the water evaporates, the cucumbers are now 95 % water by weight. what is the new weight of the cucumbers, in pounds ?\nOptions: a. 2, b. 20, c. 92, d. 96, e. 98", "output": [ "b" ] }, { "id": "task1678-dc3540dc67a84ec2a27f5a193bc723ca", "input": "Problem: a customer went to a shop and paid a total of $ 40, out of which $ 1.28 was for sales tax on taxable purchases. if the tax rate was 8 %, then what was the cost of the tax free items ?\nOptions: a. $ 19.54, b. $ 2076, c. $ 21.36, d. $ 22.72, e. $ 23.58", "output": [ "d" ] }, { "id": "task1678-5127c10a8b5149cf8b6474db7ba9be37", "input": "Problem: what is the sum of all remainders obtained when the first 100 natural numbers are divided by 8 ?\nOptions: a. 397, b. 401, c. 403, d. 405, e. 399", "output": [ "b" ] }, { "id": "task1678-746dedadf2644c2f9d5210a44af4eac2", "input": "Problem: the average of first 12 even numbers is ?\nOptions: a. 19, b. 18, c. 16, d. 13, e. 17", "output": [ "d" ] }, { "id": "task1678-edfba798ae5d43a699df43b404651bc9", "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": "task1678-18284728fb29477ead480e5443f76e95", "input": "Problem: how many seconds will a 1000 meter long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 63 km / hr ?\nOptions: a. 287, b. 300, c. 500, d. 277, e. 121", "output": [ "b" ] }, { "id": "task1678-3c3b9a82501e41bd980c582919304c28", "input": "Problem: if n = 2.0563 and n * is the decimal obtained by rounding n to the nearest hundredth, what is the value of n * – n ?\nOptions: a. - 0.0053, b. - 0.0003, c. 0.0007, d. 0.0037, e. 0.0153", "output": [ "d" ] }, { "id": "task1678-74e832d0e3f844fb910c0f414a03029e", "input": "Problem: in a company with 48 employees, some part - time and some full - time, exactly ( 1 / 3 ) of the part - time employees and ( 1 / 4 ) of the full - time employees take the subway to work. what is the greatest possible number h of employees who take the subway to work ?\nOptions: a. 12, b. 13, c. 14, d. 15, e. 16", "output": [ "d" ] }, { "id": "task1678-0e11703ac95a41fb8c255048af062943", "input": "Problem: a family pays $ 700 per year for an insurance plan that pays 70 percent of the first $ 1,000 in expenses and 100 percent of all medical expenses thereafter. in any given year, the total amount paid by the family will equal the amount paid by the plan when the family ' s medical expenses total how much ?\nOptions: a. $ 1,100, b. $ 1,300, c. $ 1,400, d. $ 1,800, e. $ 2,200", "output": [ "b" ] }, { "id": "task1678-229a956f3e314b849b4457742480046f", "input": "Problem: a batsman in his 12 th innings makes a score of 60 and thereby increases his average by 2 runs. what is his average after the 12 th innings if he had never been ‘ not out ’ ?\nOptions: a. 38, b. 43, c. 44, d. 45, e. 46", "output": [ "a" ] }, { "id": "task1678-a1b3fd68b5c64dbaa1fac880b64b2f04", "input": "Problem: john can complete a given task in 18 days. jane will take only 12 days to complete the same task. john and jane set out to complete the task by beginning to work together. however, jane was indisposed 6 days before the work got over. in how many days did the work get over from the time john and jane started to work on it together ?\nOptions: a. 11, b. 34 / 5, c. 44 / 5, d. 54 / 5, e. 12", "output": [ "d" ] }, { "id": "task1678-7306ed738f0642cc8a44ecbd54c0c2fa", "input": "Problem: a man walks at a rate of 10 mph. after every ten miles, he rests for 7 minutes. how much time does he take to walk 50 miles ?\nOptions: a. 300, b. 318, c. 322, d. 328, e. 330", "output": [ "d" ] }, { "id": "task1678-7e6efc87e624441a9c794a1e06bb1f2b", "input": "Problem: by selling an article for $ 225 a person gains $ 75. what is the gain % ?\nOptions: a. 25 %, b. 30 %, c. 50 %, d. 20 %, e. 10 %", "output": [ "c" ] }, { "id": "task1678-39407f96be2644beb2878011c78b9f14", "input": "Problem: a mixture of 150 liters of wine and water contains 15 % water. how much more water should be added so that water becomes 25 % of the new mixture ?\nOptions: a. 10, b. 30, c. 20, d. 15, e. 17", "output": [ "c" ] }, { "id": "task1678-99667f734bdc4319b41fbbe821296cbe", "input": "Problem: it is only in the second option we find the sentence a in continuation with the opening sentence d. sentence a alone explains, why the fear has such enormous effect on the human beings.\nOptions: a. 28, b. 99, c. 728, d. 27, e. 271", "output": [ "b" ] }, { "id": "task1678-86193eebba5942899a581dced246f834", "input": "Problem: on a sum of money, the simple interest for 2 years is rs. 327, while the compound interest is rs. 340, the rate of interest being the same in both the cases. the rate of interest is\nOptions: a. 15 %, b. 14.25 %, c. 7.95 %, d. 10.5 %, e. 11.5 %", "output": [ "c" ] }, { "id": "task1678-9f15ed1f162a4f6fa29c7c5f5d0a4bfc", "input": "Problem: my grandson is about as many days as my son in weeks, and my grandson is as many months as i am in years. my grandson, my son and i together are 120 years. can you tell me my age in years ?\nOptions: a. 65, b. 72, c. 44, d. 73, e. 89", "output": [ "b" ] }, { "id": "task1678-2808cda4de2f43fe9be53fd908779106", "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": "task1678-722cd1e906624b63b7cd0eb5c559f32d", "input": "Problem: a fruit - salad mixture consists of apples, peaches, and grapes in the ratio 6: 5: 4, respectively, by weight. if 60 pounds of the mixture is prepared, the mixture includes how many more pounds of apples than grapes ?\nOptions: a. 15, b. 12, c. 8, d. 6, e. 4", "output": [ "c" ] }, { "id": "task1678-0f82f82181234280b9eb692b0a6c4475", "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": "task1678-918e9b90bd164895aa37a1df9b454406", "input": "Problem: the circulation for magazine p in 1961 was 4 times the average ( arithmetic mean ) yearly circulation for magazine p for the years 1962 - 1970. what is the ratio of the circulation in 1961 to the total circulation during 1961 - 1970 for magazine p ?\nOptions: a. 2 / 7, b. 5 / 7, c. 3 / 7, d. 4 / 7, e. 1 / 7", "output": [ "a" ] }, { "id": "task1678-1db1363bf97b4845aa2363593ad4f69a", "input": "Problem: in how many years rs 100 will produce the same interest at 5 % as rs. 200 produce in 2 years at 10 %\nOptions: a. 8, b. 10, c. 9, d. 12, e. 11", "output": [ "a" ] }, { "id": "task1678-c70b8d0093f4496e8edbde75da0a85bf", "input": "Problem: the profit obtained by selling an article for rs. 54 is the same as the loss obtained by selling it for rs. 40. what is the cost price of the article ?\nOptions: a. rs. 40, b. rs. 50, c. rs. 49, d. rs. 59, e. rs. 47", "output": [ "e" ] }, { "id": "task1678-57b60d135032472d92aec3396c0c1fb5", "input": "Problem: mary, peter, and lucy were picking chestnuts. mary picked twice as much chestnuts than peter. lucy picked 2 kg more than peter. together the 3 of them picked 26 kg of chestnuts. how many kilograms did mary pick ?\nOptions: a. 12, b. 24, c. 48, d. 52, e. 37", "output": [ "a" ] }, { "id": "task1678-61e60788474646d9a4edab6fb0716ed2", "input": "Problem: a train traveling at 72 kmph crosses a platform in 35 seconds and a man standing on the platform in 18 seconds. what is the length of the platform in meters ?\nOptions: a. 340 meters, b. 360 meters, c. 420 meters, d. 600 meters, e. can not be determined", "output": [ "a" ] }, { "id": "task1678-4ab0dfee797342c4bfeccdb04e62ba02", "input": "Problem: how many integers between 1 and 10 ^ 16 are such that the sum of their digits is 2 ?\nOptions: a. 106, b. 116, c. 126, d. 136, e. 146", "output": [ "d" ] }, { "id": "task1678-399bf34401034d7f8aa0dbffcb644865", "input": "Problem: a train of 30 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. in what time will the train cross a bridge 1.5 km long ?\nOptions: a. 6, b. 3.3, c. 4, d. 9, e. 2", "output": [ "b" ] }, { "id": "task1678-d8a3079e6f294373b532a3a5d5b9f93c", "input": "Problem: in the manufacture of a certain product, 8 percent of the units produced are defective and 5 percent of the defective units are shipped for sale. what percent of the units produced are defective units that are shipped for sale ?\nOptions: a. 0.2 %, b. 0.4 %, c. 0.8 %, d. 1.2 %, e. 2.0 %", "output": [ "b" ] }, { "id": "task1678-4aa9ba47ba8b4eeba30c39ccbdb4db29", "input": "Problem: a number when divided by 779 gives a remainder 47. by dividing the same number by 19, what would be the remainder ?\nOptions: a. 9, b. 8, c. 7, d. 6, e. 5", "output": [ "a" ] }, { "id": "task1678-d120be6ee8a54cbd95b0b26932eb253a", "input": "Problem: a and b start a business, with a investing the total capital of rs. 10000, on the condition that b pays a interest @ 10 % per annum on his half of the capital. a is a working partner and receives rs. 1000 per month from the total profit and any profit remaining is equally shared by both of them. at the end of the year, it was found that the income of a is twice that of b. find the total profit for the year ?\nOptions: a. a. 59000, b. b. 37000, c. c. 48000, d. d. 59000, e. e. 67000", "output": [ "b" ] }, { "id": "task1678-934e187b94bf4c40897e9e94adbbd2de", "input": "Problem: a train covers a distance of 100 km in 1 hour. if its speed is decreased by 15 km / hr, the time taken by the car to cover the same distance will be ?\nOptions: a. 1 hr, b. 1 hr 10 min, c. 50 min, d. 1 hr 30 min, e. 1 hr 45 min", "output": [ "b" ] }, { "id": "task1678-bd652298470b411c82c20c2eed3e2ec6", "input": "Problem: if z is a multiple of 8778, what is the remainder when z ^ 2 is divided by 9 ?\nOptions: a. 0, b. 2, c. 4, d. 6, e. 8", "output": [ "a" ] }, { "id": "task1678-eea38591aa2745d3b8908d8fcdf70be4", "input": "Problem: what is the least number of squares tiles required to pave the floor of a room 4 m 5 cm long and 2 m 25 cm broad ?\nOptions: a. 14, b. 20, c. 40, d. 44, e. 45", "output": [ "e" ] }, { "id": "task1678-0ed9d257b1794a7fb1d5970352c62b89", "input": "Problem: $ 4,000 is deposited in a savings account that pays 8 % annual interest compounded semiannually. to the nearest dollar, how much is in the account at the end of the year ?\nOptions: a. $ 4326.40, b. $ 4116.20, c. $ 4256.21, d. $ 4316.54, e. $ 4312.45", "output": [ "a" ] }, { "id": "task1678-a4d3548c968b4b4ebf7fd2f74f26977f", "input": "Problem: the cost price of 30 articles is the same as the selling price of x articles. if the profit is 20 %, what is x ?\nOptions: a. 20, b. 21, c. 23, d. 25, e. 27", "output": [ "d" ] }, { "id": "task1678-457fd2fe3d5445b39e95b92b4cb0a1b3", "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": "task1678-abad46ccae2e4f54a514cc1d0c04f933", "input": "Problem: a train which has 430 m long, is running 45 kmph. in what time will it cross a person moving at 9 kmph in same direction ?\nOptions: a. 56 sec, b. 43 sec, c. 36 sec, d. 29 sec., e. 19 sec.", "output": [ "b" ] }, { "id": "task1678-ff05d6cf294e40d6b30391dee79ff64f", "input": "Problem: a sum fetched a total simple interest of $ 4151.25 at the rate of 9 p. c. p. a. in 5 years. what is the sum ?\nOptions: a. $ 8829, b. $ 2840, c. $ 6578, d. $ 7782, e. $ 8928", "output": [ "e" ] }, { "id": "task1678-06a5a9badcd04327aec4e3337fddd8e1", "input": "Problem: a certain car can travel 40 minutes on a gallon of gasoline at 60 miles per hour. if the car had started with a full tank and had 6 gallons of gasoline left in its tank at the end, then what percent of the tank was used to travel 80 miles at 60 mph ?\nOptions: a. 15 %, b. 20 %, c. 25 %, d. 30 %, e. 40 %", "output": [ "c" ] }, { "id": "task1678-9c99b61a4e9d4defb73118fedeb02845", "input": "Problem: a car averages 30 miles per hour for the first 5 hours of a trip and averages 42 miles per hour for the rest of the trip. if the average speed for the entire trip is 34 miles per hour, how many hours long is the trip ?\nOptions: a. 6.5, b. 7.5, c. 8.5, d. 9.5, e. 10.5", "output": [ "b" ] }, { "id": "task1678-faac48676dfc42c782f2fe179bbe2e1b", "input": "Problem: what will be the compound interest on a sum of rs. 29,000 after 3 years at the rate of 12 % p. a. ?\nOptions: a. s. 11123.77, b. s. 11742.91, c. s. 11123.20, d. s. 10123.28, e. s. 10123.21", "output": [ "b" ] }, { "id": "task1678-f72b4914e2da4c8c9ef00ad386f472d1", "input": "Problem: if jack walked 6 miles in 1 hour and 15 minutes, what was his rate of walking in miles per hour ?\nOptions: a. 4, b. 4.8, c. 6, d. 6.25, e. 15", "output": [ "b" ] }, { "id": "task1678-0464db58d41643729f2644c8f847fbbb", "input": "Problem: in a group of cows and hens, the number of legs are 8 more than twice the number of heads. the number of cows is :\nOptions: a. 5, b. 6, c. 7, d. 10, e. 4", "output": [ "e" ] }, { "id": "task1678-c66183ce7de142bcb6ab5ea7103f3c55", "input": "Problem: the number of positive integer solutions for the equation x + y + z + t = 30 is\nOptions: a. 3854, b. 3654, c. 3764, d. 3960, e. 4964", "output": [ "b" ] }, { "id": "task1678-435ed94f0ae0440bbc7dc2ecf1a8817a", "input": "Problem: reeya obtained 55, 67, 76, 82 and 85 out of 100 in different subjects, what will be the average\nOptions: a. 70, b. 75, c. 73, d. 85, e. 90", "output": [ "c" ] }, { "id": "task1678-63b43708880048c3bfaf7a372c3553ae", "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": "task1678-9dc5d780142e45458247a7a3cbdc857a", "input": "Problem: one night 17 percent of the female officers on a police force were on duty. if 204 police officers were on duty that night and half of these were female officers, how many female officers were on the police force ?\nOptions: a. 420, b. 480, c. 540, d. 600, e. 660", "output": [ "d" ] }, { "id": "task1678-a7849ca74b5e4f52a435352de3263ddd", "input": "Problem: the contents of a certain box consist of 20 apples and 30 oranges. how many oranges must be added to the box so that exactly 20 % of the pieces of fruit in the box will be apples ?\nOptions: a. 50, b. 55, c. 75, d. 85, e. 100", "output": [ "a" ] }, { "id": "task1678-70ad1c0e701b4c5db4ed4c60395c1e13", "input": "Problem: the workforce of company x is 60 % female. the company hired 24 additional male workers, and as a result, the percent of female workers dropped to 55 %. how many employees did the company have after hiring the additional male workers ?\nOptions: a. 160, b. 220, c. 288, d. 360, e. 420", "output": [ "c" ] }, { "id": "task1678-7131a50705a2421487045fecf0421568", "input": "Problem: whats the reminder when 58, 458,965, 231,457, 895,684, 525,465, 985,445 is divided by 16\nOptions: a. 5, b. 7., c. 2., d. 3, e. 9", "output": [ "a" ] }, { "id": "task1678-26399c18f47a4e2e8b39123810658c19", "input": "Problem: the ratio of the volumes of two cubes is 1000: 1331. what is the ratio of their total surface areas ?\nOptions: a. 100: 121, b. 100: 127, c. 81: 191, d. 81: 161, e. 100: 182", "output": [ "a" ] }, { "id": "task1678-fe0e156a7c4144ef8b0c73a19e38b893", "input": "Problem: what is the smallest positive integer x such that 720 - x is the cube of a positive integer\nOptions: a. 5, b. 7, c. 47, d. 9, e. 12", "output": [ "d" ] }, { "id": "task1678-4d7449af9e7148c882833ad3c75f217e", "input": "Problem: 1370, x, 1070, - 180, - 6430\nOptions: a. 1320, b. 6530, c. 6630, d. 6730, e. 6830", "output": [ "a" ] }, { "id": "task1678-95ef07516f82476a8e613f3349cc18e1", "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": "task1678-6e61e5d4266a425eba75addda5579520", "input": "Problem: the perimeter of a square is equal to the perimeter of a rectangle of length 17 cm and breadth 14 cm. find the circumference of a semicircle whose diameter is equal to the side of the square. ( round off your answer to two decimal places )\nOptions: a. 23.57, b. 23.54, c. 23.5, d. 24.35, e. 24.51", "output": [ "d" ] }, { "id": "task1678-9682436acd844c2ca6f68ffa9525a05e", "input": "Problem: ? % of 360 = 180\nOptions: a. 277, b. 36, c. 50, d. 72, e. none of these", "output": [ "c" ] }, { "id": "task1678-9716ede949b54cc481cb41d36f73b0fb", "input": "Problem: the average of runs of a cricket player of 10 innings was 33. how many runs must he make in his next innings so as to increase his average of runs by 4 ?\nOptions: a. 77, b. 79, c. 85, d. 87, e. 89", "output": [ "a" ] }, { "id": "task1678-4bbbd6f6537a4e4781104e0c668bd13d", "input": "Problem: if y exceeds x by 25 %, then x is less than y by ?\nOptions: a. 28 %, b. 21 %, c. 20 %, d. 30 %, e. 29 %", "output": [ "c" ] }, { "id": "task1678-23e46bed92454dcaa050ac4f84e48601", "input": "Problem: the average score of a cricketer in 2 matches is 60 and in other 3 matches is 50. then find the average score in all the 5 matches ?\nOptions: a. 54, b. 27, c. 30, d. 35, e. 42", "output": [ "a" ] }, { "id": "task1678-5172f5bcd3cc44bca4b5b144bcefacac", "input": "Problem: the largest three digit number which is a perfect cube, is :\nOptions: a. 125, b. 999, c. 343, d. 512, e. 729", "output": [ "e" ] }, { "id": "task1678-c0df3b467bc44e7a8163cc72b8da77ed", "input": "Problem: a 160 meter long train crosses a man standing on the platform in 18 sec. what is the speed of the train ?\nOptions: a. 96 kmph, b. 94 kmph, c. 32 kmph, d. 56 kmph, e. 76 kmph", "output": [ "c" ] }, { "id": "task1678-5e9c39a72e44443a8eaf49aaf749fd51", "input": "Problem: albert invested rs. 8000 in a scheme for 2 years at compound interest rate 5 % p. a. how much amount will albert get on maturity of the fixed deposit ?\nOptions: a. 8840, b. 2776, c. 2998, d. 2662, e. 8820", "output": [ "e" ] }, { "id": "task1678-770ced680b2e4ce8ac2b5f489e437dd2", "input": "Problem: a person buys an article at $ 600. at what price should he sell the article so as to make a profit of 8 % ?\nOptions: a. 670, b. 689, c. 648, d. 740, e. 889", "output": [ "c" ] }, { "id": "task1678-8a53da7cb39d4125a333979ccfcc1adc", "input": "Problem: what is the remainder when ( 63 ) ( 65 ) is divided by 8 ?\nOptions: a. 1, b. 2, c. 4, d. 5, e. 7", "output": [ "e" ] }, { "id": "task1678-07d220d1679048dbb533e6e74af20483", "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": "task1678-c01993c036ab44fda5cd5b64f4ea1426", "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": "task1678-2be0b1ebb7d447eda16818b12bda74f5", "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": "task1678-94bb6b4f3529444aa0ee31416fb6d349", "input": "Problem: a, b and c are partners in a business. their capitals are respectively, rs. 5000, rs. 6000 and rs. 4000. a gets 30 % of the total profit for managing the business. the remaining profit is divided among 3 in the ratio of their capitals. in the end of the year, the profit of a is rs. 200 more than the sum of the profits of b and c. find the total profit ?\nOptions: a. 3089, b. 3098, c. 3057, d. 3000, e. 3012", "output": [ "d" ] }, { "id": "task1678-5ca7ef79016d4d608bd45810c805f4d5", "input": "Problem: $ 100 is divided amongst a, b and c so that a may get 1 / 4 as much as b and c together, b may get 3 / 5 as much as a and c together, then the share of a is\nOptions: a. $ 15, b. $ 20, c. $ 25, d. $ 18, e. $ 30", "output": [ "b" ] }, { "id": "task1678-7825d1e6af7149d39cd053665c6799bf", "input": "Problem: an urn contains 5 red, 6 blue and 8 green balls. 4 balls are randomly selected from the urn, find the probability that the drawn ball are 1 blue and 3 red ?\nOptions: a. 1 / 969, b. 2 / 969, c. 4 / 969, d. 5 / 323, e. 21 / 789", "output": [ "d" ] }, { "id": "task1678-5f7d7acd20a043f299b9d05b7599d5ef", "input": "Problem: how many positive even integers less than 100 contain digits 5 or 9 ?\nOptions: a. 16, b. 10, c. 18, d. 19, e. 20", "output": [ "b" ] }, { "id": "task1678-c680d8ec7d73409a8c9fa8fd2e72b06f", "input": "Problem: farm tax is levied on the 45 % of the cultivated land. the tax department collected total $ 3840 through the farm tax from the village of mr. willam. mr. willam paid only $ 480 as farm tax. the percentage of total land of mr. willam over the total taxable land of the village is :\nOptions: a. 15 %, b. 25 %, c. 15.125 %, d. 27.78 %, e. none", "output": [ "d" ] }, { "id": "task1678-1f8eaf5abfca414bb1285ab47c96816a", "input": "Problem: 30 is to be divided into two parts such that the sum of 10 times the first and 22 times the second is 780. the bigger part is :\nOptions: a. 33, b. 34, c. 26, d. 10, e. 19", "output": [ "d" ] }, { "id": "task1678-0d5c733e93b44df6bc45e60c39fd4546", "input": "Problem: the value of a machine depreciates at 20 % per annum. if its present value is rs. 1, 50,000, at what price should it be sold after two years such that a profit of rs. 30,000 is made ?\nOptions: a. 328897, b. 120000, c. 877888, d. 277768, e. 126000", "output": [ "e" ] }, { "id": "task1678-1cc2f8edad73499abfa105f71a6170a3", "input": "Problem: johnson completes a piece of work in 10 days, vincent completes the same work in 40 days. if both of them work together, then the number of days required to complete the work is\nOptions: a. 7 days, b. 8 days, c. 9 days, d. 10 days, e. 12 days", "output": [ "b" ] }, { "id": "task1678-fdc05433fa844afdbf5c7ba2503f5f4f", "input": "Problem: in triangle pqr, the angle q = 90 degree, pq = 4 cm, qr = 8 cm. x is a variable point on pq. the line through x parallel to qr, intersects pr at y and the line through y, parallel to pq, intersects qr at z. find the least possible length of xz\nOptions: a. 1.2 cm, b. 2.4 cm, c. 4.8 cm, d. 2.16 cm, e. 3.2 cm", "output": [ "e" ] }, { "id": "task1678-18b39939740b48cb87e14a0f78c148d4", "input": "Problem: a local elementary school has 1049 students and 9 teachers, how many students would have to be added to the school to make sure each teacher has the same amount of students in their classroom ?\nOptions: a. 4, b. 6, c. 5, d. 1, e. 2", "output": [ "a" ] }, { "id": "task1678-16a698de808b4d2fa33fa0362220588f", "input": "Problem: the average marks of 30 students in a class is 100. but a student mark is wrongly noted as 70 instead of 10 then find the correct average marks ?\nOptions: a. a. 78, b. b. 82, c. c. 98, d. d. 91, e. e. 85", "output": [ "c" ] }, { "id": "task1678-1a19b4a7588543a4b42f0fb36e627e21", "input": "Problem: if a and b are positive real numbers, and a ^ 3 + b ^ 3 = 25, then the greatest possible value of a is between :\nOptions: a. 0 and 3, b. 3 and 4, c. 4 and 5, d. 5 and 7, e. 7 and 9", "output": [ "a" ] }, { "id": "task1678-1baf41d3fb884fff926f2acd6ac64ccd", "input": "Problem: a 440 - liter solution of kola is made from 88 % water, 8 % concentrated kola and the rest is made from sugar. if 3.2 liters of sugar, 10 liter of water and 6.8 liters of concentrated kola were added to the solution, what percent of the solution is made from sugar ?\nOptions: a. 4.52 %., b. 7.5 %., c. 9.2 %., d. 10.5 %., e. 11 %.", "output": [ "a" ] }, { "id": "task1678-6d728b8c1b76418791637a51da978492", "input": "Problem: a wire in the form of a circle of radius 3.5 m is bent in the form of a rectangule, whose length and breadth are in the ratio of 6: 5. what is the area of the rectangle ?\nOptions: ['a. 65 cm 2', 'b. 30 cm 2', 'c. 76 cm 2', 'd. 68 cm 2', 'e. 46 cm 2']", "output": [ "b" ] }, { "id": "task1678-0ed044b8de6d4e6eb1bd76c91f5a5bc6", "input": "Problem: sandy gets 3 marks for each correct sum and loses 2 marks for each incorrect sum. sandy attempts 30 sums and obtains 50 marks. how many sums did sandy get correct ?\nOptions: a. 20, b. 22, c. 24, d. 26, e. 28", "output": [ "b" ] }, { "id": "task1678-f48ca585323340d184a9c6c1550916c0", "input": "Problem: if a is a positive integer, and if the units digit of a ^ 2 is 9 and the units digit of ( a + 1 ) ^ 2 is 6, what is the units digit of ( a + 2 ) ^ 2 ?\nOptions: a. 1, b. 3, c. 5, d. 6, e. 8", "output": [ "c" ] }, { "id": "task1678-caf481cd6a654d008191e2599ef4505e", "input": "Problem: a person borrows 20000 for 6 years at 8 % p. a. simple interest. he immediately lends it to another person at 9 % p. a. for 6 years. find his gain in the transaction per year.\nOptions: a. 200, b. 250, c. 210, d. 190, e. 180", "output": [ "a" ] }, { "id": "task1678-9f14fc7f43f84ee08af6c6b780843271", "input": "Problem: a solid yellow stripe is to be painted in the middle of a certain highway. if 1 gallon of paint covers an area of w square feet of highway, how many gallons of paint will be needed to paint a stripe of t inches wide on a stretch of highway m miles long ? ( 1 mile = 5,280 feet and 1 foot = 12 inches )\nOptions: ['a. ( 5,280 mt ) / 12 w', 'b. ( 5,280 pt ) / 12 m', 'c. ( 5,280 pmt ) / 12', 'd. ( 5,280 ) ( 12 m ) / pt', 'e. ( 5,280 ) ( 12 p ) / mt']", "output": [ "a" ] }, { "id": "task1678-91ae1115abf044ce86c3a5ed146a2190", "input": "Problem: what is the units digit of 23 ^ 2 * 17 ^ 2 * 39 ^ 2 ?\nOptions: a. 1, b. 3, c. 5, d. 7, e. 9", "output": [ "a" ] }, { "id": "task1678-d4811131070d4d42a6362de1ada0b272", "input": "Problem: if the probability of rain on any given day in chicago during the summer is 50 %, independent of what happens on any other day, what is the probability of having exactly 3 rainy days from july 4 through july 8, inclusive ?\nOptions: a. 1 / 32, b. 2 / 25, c. 5 / 16, d. 8 / 25, e. 3 / 4", "output": [ "c" ] }, { "id": "task1678-fd787be141ec4687bc27c905aae3aef3", "input": "Problem: if m is a positive integer and m ^ 2 is divisible by 24, then the largest positive integer that must divide m is ?\nOptions: a. 3, b. 6, c. 8, d. 12, e. 16", "output": [ "c" ] }, { "id": "task1678-8b42296f4559473ab072e0abdae0cc38", "input": "Problem: a flagstaff 17.5 m high casts a shadow of length 40.25 m. the height of the building, which casts a shadow of length 28.75 m under similar conditions will be ?\nOptions: a. 10 m, b. 12.5 m, c. 12 m, d. 13 m, e. 14 m", "output": [ "b" ] }, { "id": "task1678-39da97923efb48f9bb21197fa9d91fc0", "input": "Problem: average monthly income of a family of 4 earning members was rs. 840. one of the earning members died and therefore, the average income came down to rs 650. the income of the deceased was ?\nOptions: a. rs. 692.80, b. rs. 820, c. rs. 990, d. rs. 1410, e. none", "output": [ "d" ] }, { "id": "task1678-487f72031a514efba11af470961f8534", "input": "Problem: x and y are two towns. ganesh covers the distance from x to y at an average speed of 43 km / hr. however, he covers the distance from y to x at an average speed of 34 km / hr. his average speed during the whole journey in km / hr. is :\nOptions: a. 34, b. 43, c. 40, d. 38, e. 29", "output": [ "d" ] }, { "id": "task1678-24b2de4ac06d464ab0243cbc16388dcf", "input": "Problem: what is the measure of the angle q made by the diagonals of the any adjacent sides of a cube.\nOptions: a. 30, b. 45, c. 60, d. 75, e. 90", "output": [ "c" ] }, { "id": "task1678-c93f0fd43dc4421e944a174a56a3bd1a", "input": "Problem: visitors to show were charged rs. 15 each on the first day. rs. 7.50 on the second day, rs. 2.50 on the third day and total attendance on the 3 days were in ratio 2: 5: 13 respectively. the average charge per person for the whole show is ?\nOptions: a. 1, b. 4, c. 5, d. 6, e. 8", "output": [ "c" ] }, { "id": "task1678-bbae61b7702b411b97c11e6c601a9588", "input": "Problem: hillary and eddy are climbing to the summit of mt. everest from a base camp 4,900 ft from the summit. when they depart for the summit at 06: 00, hillary climbs at a rate of 800 ft / hr with eddy lagging behind at a slower rate of 500 ft / hr. if hillary stops 900 ft short of the summit and then descends at a rate of 1,000 ft / hr, at what time do hillary and eddy pass each other on her return trip ?\nOptions: a. 10.0, b. 11.0, c. 13.0, d. 12.0, e. 14.0", "output": [ "d" ] }, { "id": "task1678-4a50fa591b1d41d69b57cedadcf31b67", "input": "Problem: a dishonest person wants to make a profit on the selling of milk. he would like to mix water ( costing nothing ) with milk costing 33 $ per litre so as to make a profit of 70 % on cost when he sells the resulting milk and water mixture for 36 $. in what ratio should he mix the water and milk ?\nOptions: a. 1: 120, b. 67: 120, c. 67: 8, d. 8: 120, e. 1: 2", "output": [ "b" ] }, { "id": "task1678-61d26881ad174c32a9fde31e37fe23d5", "input": "Problem: the price of a book is increased from $ 300 to $ 390. what is the % of increase in its price ?\nOptions: a. 10 %, b. 20 %, c. 30 %, d. 35 %, e. 45 %", "output": [ "c" ] }, { "id": "task1678-aaf88c73d5c2490db290f69bb6a6c14d", "input": "Problem: a, b and c, each working alone can complete a job in 6, 8 and 12 days respectively. if all three of them work together to complete a job and earn $ 1170, what will be b ' s share of the earnings ?\nOptions: a. $ 390, b. $ 520, c. $ 1080, d. $ 1170, e. $ 630", "output": [ "a" ] }, { "id": "task1678-4164e52c6e304ae09eaf8fd9f8927ba3", "input": "Problem: 12 spheres of the same size are made from melting a solid cylinder of 8 cm diameter and 27 cm height. what is the diameter of each sphere ?\nOptions: a. 2 cm, b. 4 cm, c. 6 cm, d. 8 cm, e. 10 cm", "output": [ "c" ] }, { "id": "task1678-2f12bced9e6f426bbd4bbed3af34ccef", "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": "task1678-f55061e7545f472b8e303d88077a942f", "input": "Problem: if jack walked 8 miles in 1 hour and 15 minutes, what was his rate of walking in miles per hour ?\nOptions: a. 4, b. 4.5, c. 6, d. 6.4, e. 15", "output": [ "d" ] }, { "id": "task1678-116b9b2fda4742f4a14cf29aea717c9b", "input": "Problem: a particular library has 75 books in a special collection, all of which were in the library at the beginning of the month. these book are occasionally loaned out through an inter - library program. if, by the end of the month, 80 percent of books that were loaned out are returned and there are 67 books in the special collection at that time, how many books of the special collection were loaned out during that month ?\nOptions: a. 20, b. 30, c. 35, d. 40, e. 55", "output": [ "d" ] }, { "id": "task1678-8dba1400b0a342dc85924898728bd6f8", "input": "Problem: if a farmer wants to plough a farm field on time, he must plough 120 hectares a day. for technical reasons he ploughed only 85 hectares a day, hence he had to plough 2 more days than he planned and he still has 40 hectares left. what is the area of the farm field and how many days the farmer planned to work initially ?\nOptions: a. 600, b. 490, c. 720, d. 435, e. 679", "output": [ "c" ] }, { "id": "task1678-dcacee515bbc4537aab5bcf37fc7cce1", "input": "Problem: for each color copy, print shop x charges $ 1.20 and print shop y charges $ 1.70. how much greater is the charge for 40 color copies at print shop y than at print shop x ?\nOptions: a. $ 14, b. $ 16, c. $ 18, d. $ 20, e. $ 22", "output": [ "d" ] }, { "id": "task1678-bb824a468dc54220af9af129cdcf2e75", "input": "Problem: in a school of 300 boys, 44 % of muslims, 28 % hindus, 10 % sikhs and the remaining of other communities. how many belonged to the other communities ?\nOptions: a. 54, b. 63, c. 70, d. 42, e. 31", "output": [ "a" ] }, { "id": "task1678-0801c8e5f8474f8498e1021b42683a17", "input": "Problem: a number x is 12 times another number y. the percentage that y is less than x is\nOptions: a. 91.6 %, b. 87.5 %, c. 80 %, d. 11 %, e. 1 %", "output": [ "a" ] }, { "id": "task1678-002b67fc884d4a13b224c39688c1f654", "input": "Problem: a train 90 m long is running with a speed of 60 km / hr. in what time will it pass a man who is running at 6 km / hr in the direction opposite to that in which the train is going ?\nOptions: a. 7, b. 6, c. 8, d. 5, e. 4", "output": [ "d" ] }, { "id": "task1678-8c682252aa844746beb3426f689dac06", "input": "Problem: the average age of a family of 5 members is 20 years. if the age of the youngest member be 10 years then what was the average age of the family at the time of the birth of the youngest member ?\nOptions: a. 13.5, b. 14, c. 15, d. 12.5, e. none", "output": [ "d" ] }, { "id": "task1678-5b77079ffb8e4697ac2f4f928275ef06", "input": "Problem: on a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. on the next day, orangeade was made by mixing the same amount of orange juice with five times the amount of water. on both days, all the orangeade that was made was sold. if the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $ 0.80 per glass on the first day, what was the price per glass on the second day ?\nOptions: a. $ 015, b. $ 0.27, c. $ 0.30, d. $ 0.40, e. $ 0.45", "output": [ "b" ] }, { "id": "task1678-11bcb48c040a48918a241c5c7682eb01", "input": "Problem: how many unique positive odd integers less than 90 are equal to the product of a positive multiple of 5 and an odd number ?\nOptions: a. 4, b. 9, c. 11, d. 12, e. 15", "output": [ "b" ] }, { "id": "task1678-66a5dedb7e8b432c8a6e852cc0eaa5d0", "input": "Problem: if # is an operation which results in adding the digits of integer until a single digit is left, what is the probability that a number picked up in first 90 positive integers will have the result of # as an odd digit ? ( example 99 = 9 + 9 = 18 = 1 + 8 = 9, so # = 9 )\nOptions: a. 4 / 10, b. 4 / 9, c. 1 / 2, d. 6 / 10, e. 5 / 9", "output": [ "e" ] }, { "id": "task1678-f8924ecbab23479f8d89990a7d2dcf27", "input": "Problem: operation # is defined as: a # b = 4 a ^ 2 + 4 b ^ 2 + 8 ab for all non - negative integers. what is the value of ( a + b. + 6, when a # b = 100 ?\nOptions: a. 5, b. 8, c. 10, d. 11, e. 17", "output": [ "d" ] }, { "id": "task1678-cea5a9c1e9eb4e3c90370163f11c9816", "input": "Problem: jerry and michelle play a card game. in the beginning of the game they have an equal number of cards. each player, at her turn, gives the other a third of her cards. michelle plays first, giving jerry a third of her cards. jerry plays next, and michelle follows. then the game ends. jerry ended up with 14 more cards than michelle. how many cards did each player have originally ?\nOptions: a. 27, b. 30, c. 34, d. 36, e. 38", "output": [ "a" ] }, { "id": "task1678-d3085c987933417e9e9d1b400394a64a", "input": "Problem: in a fuel station the service costs $ 1.75 per car, every liter of fuel costs 0.65 $. assuming that a company owns 12 cars and that every fuel tank contains 50 liters and they are all empty, how much money total will it cost to fuel all cars ?\nOptions: a. 320 $, b. 380 $, c. 420 $, d. 450 $, e. 411 $", "output": [ "e" ] }, { "id": "task1678-86b0d3cf67344ad198e2f16c3958387a", "input": "Problem: a circular swimming pool is surrounded by a concrete wall 4 feet wide. if the area of the wall is 11 / 25 of the area of the pool, then the radius of the pool in feet is ?\nOptions: ['a. 22', 'b. 20', 'c. 9', 'd. 8', 'e. 1']", "output": [ "b" ] }, { "id": "task1678-c0761870a3894e07ad43645964d9ff37", "input": "Problem: the population of a town increases 25 % and 40 % respectively in two consecutive years. after the growth the present population of the town is 1750. then what is the population of the town 2 years ago ?\nOptions: a. a. 750, b. b. 800, c. c. 850, d. d. 900, e. e. 950", "output": [ "b" ] }, { "id": "task1678-0b3043569b8f44e19adb8ff5cc054c57", "input": "Problem: a truck travels 20 miles due north, 30 miles due east, and then 20 miles due north. how many miles is the truck from the starting point ?\nOptions: a. 20.3, b. 44.7, c. 50, d. 70, e. 120", "output": [ "c" ] }, { "id": "task1678-d3bb4cad49714ffe86e495c6676c3385", "input": "Problem: find the area of a parallelogram with base 22 cm and height 14 cm ?\nOptions: a. 298 cm 2, b. 384 cm 2, c. 308 cm 2, d. 286 cm 2, e. 276 cm 2", "output": [ "c" ] }, { "id": "task1678-836cb4278b5f4a148f45c89ae25060bd", "input": "Problem: the salary of a typist was at first raised by 10 % and then the same was reduced by 5 %. if he presently draws rs. 4180. what was his original salary ?\nOptions: a. 2277, b. 2999, c. 4000, d. 2651, e. 1971", "output": [ "c" ] }, { "id": "task1678-98e2240ce387463db34aa014f6e77620", "input": "Problem: the sum of all the digits of the integers from 18 to 21 inclusive is 24 ( 1 + 8 + 1 + 9 + 2 + 0 + 2 + 1 = 24 ). what is the sum t of all the digits of the integers from 0 to 99 inclusive ?\nOptions: a. 450, b. 810, c. 900, d. 1000, e. 1100", "output": [ "c" ] }, { "id": "task1678-bb5e35b942fd4518b875e3eadadc6b06", "input": "Problem: in δ pqs above, if pq = 2 and ps = 3, then\nOptions: a. 3 / 2, b. 12 / 5, c. 16 / 5, d. 15 / 4, e. 20 / 3", "output": [ "a" ] }, { "id": "task1678-f530906e9d3942988e5b6523978f3714", "input": "Problem: the average salary of all the workers in a workshop is rs. 8000. the average salary of 7 technicians is rs. 11000 and the average salary of the rest is rs. 6000. the total number of workers in the workshop is\nOptions: a. 14, b. 21, c. 22, d. 23, e. none", "output": [ "a" ] }, { "id": "task1678-47d6cb5ab1c847508856c103a2761173", "input": "Problem: a man whose speed is 8 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 3 kmph, find his average speed for the total journey ?\nOptions: a. 1 kmph, b. 5 kmph, c. 6 kmph, d. 4 kmph, e. 6.8 kmph", "output": [ "e" ] }, { "id": "task1678-f9bfe74da3544dda83e95858b53bfe37", "input": "Problem: of 30 applicants for a job, 9 had at least 4 years ' experience, 18 had degrees, and 3 had less than 4 years ' experience and did not have a degree. how many of the applicants had at least 4 years ' experience and a degree ?\nOptions: a. 14, b. 10, c. 9, d. 7, e. 5", "output": [ "b" ] }, { "id": "task1678-c59ad95658e4432695b5fbf645912f66", "input": "Problem: a fruit seller had some apples. he sells 50 % apples and still he has 5000. originally he had how many apples ?\nOptions: a. 10000, b. 15200, c. 11005, d. 12540, e. 12450", "output": [ "a" ] }, { "id": "task1678-4a728bc38bfe4c388a44f7c64888564a", "input": "Problem: in a new housing development, trees are to be planted along the sidewalk of a certain street. each tree takes up one square foot of sidewalk space, and there are to be 9 feet between each tree. how many trees can be planted if the road is 151 feet long ?\nOptions: a. 8, b. 9, c. 10, d. 11, e. 16", "output": [ "e" ] }, { "id": "task1678-a81b317cd038436684ef30e04973c06a", "input": "Problem: the slant height of a cone is 35 cm and radius of the base is 14 cm, find the curved surface of the cone.\nOptions: ['a. 4150', 'b. 1780', 'c. 1540', 'd. 1500', 'e. 6100']", "output": [ "c" ] }, { "id": "task1678-a3cebad6d5534bfb8558979b904f501a", "input": "Problem: if a ã — b = 2 a - 3 b + ab, then 3 ã — 2 + 2 ã — 3 is equal to :\nOptions: a. 7, b. 8, c. 9, d. 25, e. 26", "output": [ "a" ] }, { "id": "task1678-6779bd4e0b62419a9576fb8615704b0d", "input": "Problem: a 20 % stock yielding 12 % is quoted at :\nOptions: a. rs. 83.33, b. rs. 167, c. rs. 112, d. rs. 120, e. rs. 140", "output": [ "b" ] }, { "id": "task1678-8499d7e535fd44ae949e5f64050226da", "input": "Problem: if the length of the sides of two cubes are in the ratio 6: 1, what is the ratio of their total surface area ?\nOptions: a. 6: 1, b. 12: 1, c. 24: 1, d. 36: 1, e. 72: 1", "output": [ "d" ] }, { "id": "task1678-abd65cd536ba44ebbccef492dbe45a32", "input": "Problem: two trains travel in opposite directions at 36 kmph and 45 kmph and a man sitting in slower train passes the faster train in 12 seconds. the length of the faster train is\nOptions: a. 80 m, b. 270 m, c. 120 m, d. 180 m, e. none", "output": [ "b" ] }, { "id": "task1678-1a1eb17f4a36482ca4137c3e41dc4001", "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": "task1678-52726866113e4853a453a348585f2783", "input": "Problem: if the perimeter of a rectangular garden is 1800 m, its length when its breadth is 400 m is ?\nOptions: a. 500, b. 600, c. 700, d. 800, e. 900", "output": [ "a" ] }, { "id": "task1678-9d059c8279a24fe9ac8525d831319483", "input": "Problem: solve for x and check: - 3 x = 12\nOptions: a. - 4, b. - 2, c. 1, d. 3, e. none of these", "output": [ "a" ] }, { "id": "task1678-70d7c1a87d68489d863c9d320d0473db", "input": "Problem: sarah is driving to the airport. after driving at 15 miles per hour for one hour, she realizes that if she continues at that same average rate she will be an hour late for her flight. she then travels 60 miles per hour for the rest of the trip, and arrives 30 minutes before her flight departs. how many miles did she drive in all ?\nOptions: a. 45, b. 175, c. 210, d. 245, e. 280", "output": [ "a" ] }, { "id": "task1678-7d8605e01beb439a9ed680782b6fd39f", "input": "Problem: on dividing a number by 48, we get 29 as remainder. on dividing the same number by 8, what will be the remainder ?\nOptions: a. 2, b. 3, c. 4, d. 5, e. 6", "output": [ "d" ] }, { "id": "task1678-a010dcff038544e3bece9450ccd0e31a", "input": "Problem: a shopkeeper sells 600 metres of cloth for rs. 18000 at a loss of rs. 5 per metre. find his cost price for one metre of cloth ?\nOptions: a. 12, b. 27, c. 29, d. 35, e. 21", "output": [ "d" ] }, { "id": "task1678-2da69db4faf94d7d9b84799b24aa8985", "input": "Problem: obra drove 140 π meters along a circular track. if the area enclosed by the circular track on which she drove is 57,600 π square meters, what percentage of the circular track did obra drive ?\nOptions: a. 6.67 %, b. 12.5 %, c. 18.75 %, d. 29.16 %, e. 33.3 %", "output": [ "d" ] }, { "id": "task1678-8dd28289db0c48cab5eae52fe2b37cfa", "input": "Problem: a certain number of men can finish a piece of work in 100 days. if there were 10 men less, it would take 10 days more for the work to be finished. how many men were there originally ?\nOptions: a. 120, b. 105, c. 115, d. 110, e. 140", "output": [ "d" ] }, { "id": "task1678-c00ad21e8620439ab0b73ac36831a189", "input": "Problem: find the cost of fencing around a circular field of diameter 16 m at the rate of rs. 3 a meter ?\nOptions: a. 150.84, b. 160.6, c. 150.45, d. 160.99, e. 180.4", "output": [ "a" ] }, { "id": "task1678-c7018a921ec24838af55b66b9e426ed9", "input": "Problem: a alone can do a piece of work in 6 days and b alone in 8 days. a and b undertook to do it for rs. 3200. with the help of c, they completed the work in 3 days. how much is to be paid to c\nOptions: a. rs. 300, b. rs. 400, c. rs. 500, d. rs. 600, e. none of these", "output": [ "b" ] }, { "id": "task1678-112a6edb60b84e13a5373dfd628d1515", "input": "Problem: find the probability that a number selected from numbers 1, 2, 3,..., 30 is a prime number, when each of the given numbers is equally likely to be selected ?\nOptions: a. 10 / 30, b. 1 / 30, c. 8 / 30, d. 3 / 30, e. 7 / 30", "output": [ "c" ] }, { "id": "task1678-13e7671c0767441e80135413f8d23969", "input": "Problem: a worker can load one truck in 6 hours. a second worker can load the same truck in 4 hours. if both workers load one truck simultaneously while maintaining their constant rates, how long, in hours, will it take them to fill one truck ?\nOptions: a. 2.1, b. 2.4, c. 2.7, d. 3.0, e. 3.3", "output": [ "b" ] }, { "id": "task1678-feed2240c07048d996f62923c1cee28b", "input": "Problem: 40 persons like apple. 7 like orange and mango dislike apple. 10 like mango and apple and dislike orange. 3 like all. how many people like apple ?\nOptions: a. 47, b. 46, c. 54, d. 58, e. 62", "output": [ "b" ] }, { "id": "task1678-dfc8eec9a9dc4d8bba9900e746d6f0c2", "input": "Problem: in a group of cows and hens, the number of legs are 16 more than twice the number of heads. the number of cows is :\nOptions: a. 5, b. 6, c. 7, d. 8, e. 12", "output": [ "d" ] }, { "id": "task1678-24fff62659bc4492b68e47db7972d733", "input": "Problem: the distance between 2 cities a and b is 1000 km. a train starts from a at 10 a. m. and travels towards b at 100 km / hr. another starts from b at 11 a. m. and travels towards a at 150 km / hr. at what time do they meet ?\nOptions: a. 11 am., b. 12 p. m., c. 3 pm., d. 2 p. m., e. 1 p. m.", "output": [ "c" ] }, { "id": "task1678-a260a57d962e44dd8e52c824c12a9fc6", "input": "Problem: 3 candidates in an election and received 1256, 7636 and 11628 votes respectively. what % of the total votes did the winning candidate gotin that election ?\nOptions: a. 56.7 %, b. 55 %, c. 57 %, d. 60 %, e. 62 %", "output": [ "a" ] }, { "id": "task1678-73f98be26fe94b13ba394aee27b22813", "input": "Problem: the sum of two numbers is 16 and the sum of their squares is 113. find the numbers.\nOptions: a. 1 and 2, b. 4 and 5, c. 7 and 8, d. 2 and 3, e. 6 and 7", "output": [ "c" ] }, { "id": "task1678-64a2ba6445014be9ae09b73d0b8b0086", "input": "Problem: the ratio of the radius of two circles is 1: 3, and then the ratio of their areas is ?\nOptions: a. 1: 5, b. 1: 6, c. 1: 9, d. 1: 3, e. 1: 2", "output": [ "c" ] }, { "id": "task1678-6de37d1d2f994dd58a5515fd8ed27ce9", "input": "Problem: if the population of a certain country increases at the rate of one person every 45 seconds, by how many persons does the population increase in 1 hour ?\nOptions: a. 80, b. 120, c. 150, d. 180, e. 160", "output": [ "a" ] }, { "id": "task1678-203d6f4ccf51409c983c9e1ab3afd0d6", "input": "Problem: a cube has one of its faces painted half red and half white. the other faces are completely painted white. what is the ratio between the red painted areas and the white painted areas of the cube ?\nOptions: a. 1: 6, b. 1: 11, c. 2: 5, d. 1: 8, e. 3: 11", "output": [ "b" ] }, { "id": "task1678-f5eb8381ecca4f05995e6e26250bf660", "input": "Problem: what is the units digit of ( 3 ^ 13 ) ( 4 ^ 13 ) ?\nOptions: a. 2, b. 4, c. 6, d. 7, e. 8", "output": [ "a" ] }, { "id": "task1678-0261d0b3f02b45e883c806824f5f68a1", "input": "Problem: bill made a profit of 10 % by selling a product. if he had purchased that product for 10 % less and sold it at a profit of 30 %, he would have received $ 63 more. what was his original selling price ?\nOptions: a. $ 850, b. $ 990, c. $ 1050, d. $ 1180, e. $ 1340", "output": [ "b" ] }, { "id": "task1678-74c5e92c84b1477b8159e2db7c0d0171", "input": "Problem: one - third of 1206 is what percent of 162 ?\nOptions: a. 324.11, b. 300.12, c. 248.14, d. none of these, e. can not be determined", "output": [ "c" ] }, { "id": "task1678-bad70b494c504d27af938ba1a5487e15", "input": "Problem: 1399 x 1399\nOptions: a. 1957201, b. 1981709, c. 18362619, d. 2031719, e. none of these", "output": [ "a" ] }, { "id": "task1678-477781a9c88940deb7af20f88ffa2f96", "input": "Problem: on a certain road 10 % of the motorists exceed the posted speed limit and receive speeding tickets, but 50 % of the motorists who exceed the posted speed limit do not receive speeding tickets. what percent of the motorists on the road exceed the posted speed limit ?\nOptions: a. 10.5 %, b. 12.5 %, c. 15 %, d. 22 %, e. 20 %", "output": [ "e" ] }, { "id": "task1678-b9cf88babca34f3da8eb4939e3dec69d", "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": "task1678-0e2bd0446f6d405c81f86afa0c818d2e", "input": "Problem: the average marks of a class of 40 students is 44 and that of another class of 45 students is 70. find the average marks of all the students ?\nOptions: a. 52.6, b. 52.4, c. 52.1, d. 69.5, e. 52.9", "output": [ "d" ] }, { "id": "task1678-d45834f470974a9e97c9c0a87b21e71b", "input": "Problem: { - 10, - 6, - 5, - 4, - 2.5, - 1, 0, 2.5, 4, 6, 7, 10 } a number is to be selected at random from the set above. what is the probability that the number selected will be a solution of the equation ( x + 5 ) ( x + 10 ) ( 2 x - 5 ) = 0 ?\nOptions: a. 1 / 12, b. 1 / 6, c. 1 / 4, d. 1 / 3, e. 1 / 2", "output": [ "c" ] }, { "id": "task1678-47a19c0f550c425f90aff84fbebb6bfe", "input": "Problem: a towel, when bleached, was found to have lost 20 % of its length and 10 % of its breadth. the percentage of decrease in area is\nOptions: a. 28 %, b. 30 %, c. 32 %, d. 38 %, e. 40 %", "output": [ "a" ] }, { "id": "task1678-c877b1b0ce2440a3ac5a259d7a6b1b4c", "input": "Problem: 5 / 8 of 3 / 10 of a number is greater than 4 / 9 of 1 / 4 of the same number by 55. what is half of that number ?\nOptions: a. 310, b. 312, c. 320, d. 314, e. 360", "output": [ "e" ] }, { "id": "task1678-aa816a12f7f24c9da410f0b6001d07e0", "input": "Problem: the average of 10 numbers is calculated as 18. it is discovered later on that while calculating the average, one number namely 36 was wrongly read as 26. the correct average is ?\nOptions: a. a. 16, b. b. 18, c. c. 19, d. d. 22, e. e. 24", "output": [ "c" ] }, { "id": "task1678-c547eb776e9d496198b92c99ba94e342", "input": "Problem: the speed of a boat in still water in 42 km / hr and the rate of current is 5 km / hr. the distance travelled downstream in 44 minutes is :\nOptions: a. 86.6 km, b. 46.6 km, c. 34.5 km, d. 35.6 km, e. 26.6 km", "output": [ "c" ] }, { "id": "task1678-aedfabf094254bd19d27b32be3952fc4", "input": "Problem: what is the remainder when 1024 * 1047 * 1050 * 1053 is divided by 33 ?\nOptions: a. 3, b. 27, c. 30, d. 21, e. 18", "output": [ "a" ] }, { "id": "task1678-2ff9869932bf403cb405230c81eb5311", "input": "Problem: the average of first 20 natural numbers is ?\nOptions: a. 10.5, b. 11.4, c. 5.3, d. 5.9, e. 5.1", "output": [ "a" ] }, { "id": "task1678-d3f388a5f28f4f99aa15baafeca0d80c", "input": "Problem: by investing in 1623 % stock at 64, one earns rs. 1500. the investment made is\nOptions: a. rs. 9600, b. rs. 7500, c. rs. 5640, d. rs. 5760, e. rs. 6760", "output": [ "d" ] }, { "id": "task1678-b5021a2a6b0a4a6083532f55b7ff9bca", "input": "Problem: the sum of the squares of the first 15 positive integers ( 1 ^ 2 + 2 ^ 2 + 3 ^ 2 +... + 15 ^ 2 ) is equal to 1240. what is the sum of the squares of the second 15 positive integers ( 16 ^ 2 + 17 ^ 2 + 18 ^ 2 +... + 30 ^ 2 ) ?\nOptions: a. 2480, b. 3490, c. 6785, d. 8215, e. 9255", "output": [ "d" ] }, { "id": "task1678-cfd32c271a84489d919b82b90274d985", "input": "Problem: in a department store prize box, 40 % of the notes give the winner a dreamy vacation; the other notes are blank. what is the approximate probability that 3 out of 5 people that draw the notes one after the other, and immediately return their note into the box get a dreamy vacation ?\nOptions: a. 0.12, b. 0.23, c. 0.35, d. 0.45, e. 0.65", "output": [ "b" ] }, { "id": "task1678-d1b651a6e2144f33b4a44475a900d772", "input": "Problem: if the volume of the cube is 729 cm 3, then the surface area of the cube will be\nOptions: ['a. 486 sq. cm', 'b. 456 sq. cm', 'c. 446 sq. cm', 'd. 476 sq. cm', 'e. none of these']", "output": [ "a" ] }, { "id": "task1678-d4e3edff27954b1ab2375dcb973f2f50", "input": "Problem: what is the rate percent when the simple interest on rs. 1600 amount to rs. 200 in 4 years ?\nOptions: a. 4 %, b. 3.125 %, c. 5 %, d. 6 %, e. 7 %", "output": [ "b" ] }, { "id": "task1678-65d7192c6dca452ab3985cc80bdf4687", "input": "Problem: if the simple interest on a certain sum of money for 2 years is one – fifth of the sum, then the rate of interest per annum is\nOptions: a. 14 %, b. 7 %, c. 10 %, d. 15 %, e. 3 %", "output": [ "c" ] }, { "id": "task1678-8c5642e122e14e52a83a722366f4d435", "input": "Problem: a, b, c, d, e, f, g, h sitting in a row what is the probability that a, b, c sitting together ?\nOptions: a. 3 / 14, b. 5 / 28, c. 3 / 28, d. 1 / 7, e. 9 / 28", "output": [ "c" ] }, { "id": "task1678-b434e331ff6f4c9c810250d76c6c2563", "input": "Problem: there are 2 sections a and b in a class, consisting of 50 and 50 students respectively. if the average weight of section a is 60 kg and that of section b is 80 kg, find the average of the whole class ?\nOptions: a. 50.78 kg, b. 49.32 kg, c. 61.67 kg, d. 70 kg, e. 70.89 kg", "output": [ "d" ] }, { "id": "task1678-e07c641e7e8546529baa6febb8df29d2", "input": "Problem: in a school with 632 students, the average age of the boys is 12 years and that of the girls is 11 years. if the average age of the school is 11 years 9 months, then the number of girls in the school is\nOptions: a. 150, b. 200, c. 250, d. 158, e. none", "output": [ "d" ] }, { "id": "task1678-06c9d3d0bfb94800b9698c43afe19283", "input": "Problem: two trains are moving in opposite directions at 60 km / hr and 90 km / hr. their lengths are 1.15 km and 0.6 km respectively. the time taken by the slower train to cross the faster train in seconds is ?\nOptions: a. 42, b. 9, c. 7, d. 67, e. 15", "output": [ "a" ] }, { "id": "task1678-f024d20159cd4c24a4b1646c0357f301", "input": "Problem: sushil got thrice as many marks in english as in science. his total marks in english, science and maths are 152. if the ratio of his marks in english and maths is 1: 5, find his marks in science ?\nOptions: a. 8, b. 77, c. 66, d. 55, e. 31", "output": [ "a" ] }, { "id": "task1678-8b83359fd06943e39b5c4680a9a6a257", "input": "Problem: the salary of a person was reduced by 28 %. by what percent should his reduced salary be raised so as to bring it at par with his original salary ?\nOptions: a. 10 %, b. 15 %, c. 20 %, d. 25 %, e. 38.9 %", "output": [ "e" ] }, { "id": "task1678-1abe89d05fc34d86b433b67d02e368d6", "input": "Problem: the average height of 35 boys in a class was calculated as 183 cm. it has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm. find the actual average height of the boys in the class ( round off your answer to two decimal places ?\nOptions: a. 187.89 cm, b. 181.29 cm, c. 123.98 cm, d. 149.98 cm, e. 146.89 cm", "output": [ "b" ] }, { "id": "task1678-5af4e0f756d14b2093bd4a795bd89a9a", "input": "Problem: a is half good a work man as b and together they finish a job in 14 days. in how many days working alone b finish the job ?\nOptions: a. 23, b. 22, c. 21, d. 36, e. 48", "output": [ "c" ] }, { "id": "task1678-b8f4ce5346fd4474903375c686242af1", "input": "Problem: each of the products produced yesterday was checked by worker x or worker y. 0.5 % of the products checked by worker x are defective and 0.8 % of the products checked by worker y are defective. if the total defective rate of all the products checked by worker x and worker y is 0.55 %, what fraction of the products was checked by worker y ?\nOptions: a. 1 / 3, b. 1 / 4, c. 1 / 5, d. 1 / 6, e. 1 / 8", "output": [ "d" ] }, { "id": "task1678-c46ec0ef5470427cb8f32005e0e9b55b", "input": "Problem: a baseball card decreased in value 40 % in its first year and 10 % in its second year. what was the total percent decrease of the card ' s value over the two years ?\nOptions: a. 28 %, b. 30 %, c. 32 %, d. 46 %, e. 72 %", "output": [ "d" ] }, { "id": "task1678-ee0c4d18855749a4b4fed3b062be128b", "input": "Problem: from a group of 3 boys and 3 girls, 4 children are to be randomly selected. what is the probability that equal numbers of boys and girls will be selected ?\nOptions: a. 1 / 10, b. 4 / 9, c. 1 / 2, d. 3 / 5, e. 2 / 3", "output": [ "d" ] }, { "id": "task1678-816ba9fe4af54cf7bf63fcaaa1b7e37d", "input": "Problem: 9 years ago i was 5 times as old as my eldest son. today i am 3 times his age. how old am i now ?\nOptions: a. 45, b. 54, c. 34, d. 58, e. 56", "output": [ "b" ] }, { "id": "task1678-cf1d5fd1a0444faabe40f282336751cc", "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": "task1678-95bddb8e2ef0491b898050b72959fcfc", "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": "task1678-438ce0f03e3e40579804437036d42453", "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": "task1678-357e40224de44ae9a984e02e4f09476b", "input": "Problem: a caterer ordered 125 ice - cream bars and 125 sundaes. if the total price was $ 225.00 and the price of each ice - cream bar was $ 0.60, what was the price of each sundae ?\nOptions: a. $ 0.60, b. $ 0.80, c. $ 1.00, d. $ 1.20, e. $ 1.60", "output": [ "d" ] }, { "id": "task1678-fa4ec332fec142f68c08784e30e877ef", "input": "Problem: a and b invests rs. 3000 and rs. 5500 respectively in a business. if a doubles his capital after 6 months. in what ratio should a and b divide that year ' s profit ?\nOptions: a. 8: 8, b. 9: 8, c. 9: 7, d. 9: 5, e. 9: 11", "output": [ "e" ] }, { "id": "task1678-aa7df46986ff4391a8228e75e0dd5f51", "input": "Problem: if a lends rs. 3150 to b at 8 % per annum and b lends the same sum to c at 12.5 % per annum then the gain of b in a period of 2 years is ?\nOptions: a. 280, b. 295, c. 283.5, d. 245, e. 200", "output": [ "c" ] }, { "id": "task1678-046a907901fa4b73b6a3d8a2e44b5bf9", "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": "task1678-a987aab780e042fcbc396dcc85d277ee", "input": "Problem: 10 + 19\nOptions: a. 29, b. 13, c. 28, d. 6, e. 2", "output": [ "a" ] }, { "id": "task1678-438d61af1d4046b7811be4262a23fbe7", "input": "Problem: a and b started a business investing rs. 80,000 and rs 20,000 respectively. in what ratio the profit earned after 2 years be divided between a and b respectively ?\nOptions: a. 4: 1, b. 3: 2, c. 18: 20, d. 18: 4, e. 17: 4", "output": [ "a" ] }, { "id": "task1678-8308d93ec4e54a9baf406e760bef20f6", "input": "Problem: a rower can row 7 km / h in still water. when the river is running at 2 km / h, it takes the rower 1 hour to row to big rock and back. how many kilometers is it to big rock ?\nOptions: a. 2.92, b. 3.04, c. 3.12, d. 3.21, e. 3.35", "output": [ "d" ] }, { "id": "task1678-473e545eef124a64a2f7000c7f8dbfea", "input": "Problem: the average of first 35 prime numbers is ?\nOptions: a. 14.54, b. 15.6, c. 15.8, d. 14.7, e. 14.8", "output": [ "a" ] }, { "id": "task1678-cbe66b6c4dfa478a837328b94a8e48cb", "input": "Problem: a man, a woman and a boy can together complete a piece of work in 3 days. if a man alone can do it in 6 days and a women alone in 18 days, how long will a boy take to complete the work ?\nOptions: a. 6 days, b. 8 days, c. 9 days, d. 7 days, e. 5 days", "output": [ "c" ] }, { "id": "task1678-68e9b928864f408daffd1ef091b9474b", "input": "Problem: the least number which should be added to 1789 so that the sum is exactly divisible by 5, 6, 4 and 3 is ?\nOptions: a. 1, b. 11, c. 21, d. 31, e. 41", "output": [ "b" ] }, { "id": "task1678-344814aba3c546a9be82213a93e16b8e", "input": "Problem: i chose a number and divide it by 8. then i subtracted 160 from the result and got 12. what was the number i chose ?\nOptions: a. 1376, b. 1800, c. 1400, d. 2500, e. 100", "output": [ "a" ] }, { "id": "task1678-aff54be6c099499c9515f7e25a602f47", "input": "Problem: solve for x and check: - 12 x = 72\nOptions: a. - 4, b. - 2, c. - 6, d. - 12, e. none of these", "output": [ "c" ] }, { "id": "task1678-59690add1ffa4f358728fa0cb2fa6adc", "input": "Problem: a certain number of horses and an equal number of men are going somewhere. half of the owners are on their horses ' back while the remaining ones are walking along leading their horses. if the number of legs walking on the ground is 40, how many horses are there ?\nOptions: a. 8, b. 12, c. 14, d. 16, e. 18", "output": [ "a" ] }, { "id": "task1678-bfdf744b0c22458dae343d874377cec9", "input": "Problem: workers at a campaign office have 3000 fliers to send out. if they send out 1 / 5 of them in the morning and 1 / 4 of the remaining ones out during the afternoon, how many are left for the next day ?\nOptions: a. 1800, b. 800, c. 1100, d. 1200, e. 1900", "output": [ "a" ] }, { "id": "task1678-05a6d867968341c7943d37fc31b7cff2", "input": "Problem: find the average of first 20 multiples of 7 ?\nOptions: a. 73.5, b. 70.5, c. 63.5, d. 54.5, e. 40.5", "output": [ "a" ] }, { "id": "task1678-38edd2e65a7c4ced9ff56e523f519ef4", "input": "Problem: the diagonal of a rhombus are 70 m and 160 m. its area is :\nOptions: a. 1940, b. 4800, c. 5600, d. 5200, e. 5000", "output": [ "c" ] }, { "id": "task1678-ae9ab920a8a247cbbdbe08854a2ea2b3", "input": "Problem: 50 % of a number is more than 40 % of 120 by 180. find the number ?\nOptions: a. 456, b. 480, c. 420, d. 445, e. 320", "output": [ "a" ] }, { "id": "task1678-7ec34db7dee94a4a9b50eabd6d1e5b1d", "input": "Problem: sheela deposits rs. 5000 in bank savings account. if this is 20 % of her monthly income. what is her monthly income in ?\nOptions: a. 22000, b. 20000, c. 25000, d. 22235, e. none of these", "output": [ "c" ] }, { "id": "task1678-6b87dc8d3e584de18dd29c20f9c3d284", "input": "Problem: there are 4 chess amateurs playing in villa ' s chess club tournament. if each chess amateur plays with exactly 4 other amateurs, what is the total number of chess games possible to be played in the tournament ?\nOptions: a. 10, b. 8, c. 40, d. 60, e. 120", "output": [ "b" ] }, { "id": "task1678-c91c7847de964e30bead69b618aa0cb9", "input": "Problem: a 24 ' ' x 24 ' ' square metal plate needs to be fixed by a carpenter on to a wooden board. the carpenter uses nails all along the edges of the square such that there are 25 nails on each side of the square. each nail is at the same distance from the neighboring nails. how many nails does the carpenter use ?\nOptions: ['a. 94', 'b. 95', 'c. 96', 'd. 97', 'e. 98']", "output": [ "c" ] }, { "id": "task1678-8dca066704724e78b70e772213fe324f", "input": "Problem: the sum of the ages of 5 children born at the intervals of 3 year each is 50 year. what is the age of the eldest child ?\nOptions: a. 16 year, b. 8 year, c. 10 year, d. none of these, e. 9 year", "output": [ "a" ] }, { "id": "task1678-a5a70caaf8e541169f7fba64eecc2893", "input": "Problem: let the number which when multiplied by 15 is increased by 280.\nOptions: a. 14, b. 20, c. 26, d. 28, e. 30", "output": [ "b" ] }, { "id": "task1678-69bf47cafeae40f18d283b64a1d872e6", "input": "Problem: in a school with 5 classes, each class has 2 students less than the previous class. how many students are there in the largest class if the total number of students at school is 105 ?\nOptions: a. 24, b. 25, c. 26, d. 27, e. 28", "output": [ "b" ] }, { "id": "task1678-32a2f24baddd4ded86a07c95d7efd176", "input": "Problem: at 15: 00 there were 22 students in the computer lab. at 15: 03 and every three minutes after that, 3 students entered the lab. if at 15: 10 and every ten minutes after that 8 students left the lab, how many students were in the computer lab at 15: 44 ?\nOptions: a. 7, b. 14, c. 25, d. 27, e. 32", "output": [ "e" ] }, { "id": "task1678-4f723435666f4ee482ef58b9b500244a", "input": "Problem: 475.124 x 15.98 ÷ 8.001 + 33.33 = ?\nOptions: a. 983.578, b. 659.121, c. 781.189, d. 656.112, e. 456.512", "output": [ "a" ] }, { "id": "task1678-9a44c789481045b4bb1da0fe64aa02dc", "input": "Problem: 20 men can cut 30 trees in 4 hours. if 4 men leave the job, how many trees will be cut in 6 hours ?\nOptions: a. 24, b. 36, c. 48, d. 22, e. 32", "output": [ "b" ] }, { "id": "task1678-4363e29c7272415285ba6f058ae86789", "input": "Problem: 4 dices are thrown at the same time. what is the probability of getting only 2 dices showing the same face ?\nOptions: a. 4 / 9, b. 5 / 9, c. 11 / 18, d. 7 / 9, e. none of the above", "output": [ "b" ] }, { "id": "task1678-d4c85487c2ec4e6597596807e8585d8e", "input": "Problem: mr. loyd wants to fence his square shaped land of 60 sqft each side. if a pole is laid every 12 ft how many poles do he need ?\nOptions: a. 20, b. 30, c. 40, d. 50, e. 60", "output": [ "a" ] }, { "id": "task1678-be5d53f542734a5ebbb1cd4458035b6e", "input": "Problem: the average of first six prime numbers greater than 20 is ?\nOptions: a. 10, b. 20, c. 30, d. 40, e. 34", "output": [ "e" ] }, { "id": "task1678-1df3fc9fe5f0421d8445a6a3830a64e1", "input": "Problem: a boat having a length 7 m and breadth 3 m is floating on a lake. the boat sinks by 1 cm when a man gets on it. the mass of the man is :\nOptions: a. 100 kg, b. 120 kg, c. 89 kg, d. 80 kg, e. 210 kg", "output": [ "e" ] }, { "id": "task1678-9619bd82ba1e4de5b510fc3a8ba5f075", "input": "Problem: in the first 10 overs of a cricket game, the run rate was only 3.2. what should be the run rate in the remaining 50 overs to reach the target of 282 runs ?\nOptions: a. 6.25, b. 5.5, c. 7.4, d. 5, e. 6", "output": [ "d" ] }, { "id": "task1678-cd60a93969364167a5ba8f8ef0340c45", "input": "Problem: the toll t, in dollars, for a truck using a certain bridge is given by the formula t = 0.50 + 0.50 ( x − 2 ), where x is the number of axles on the truck. what is the toll for an 18 - wheel truck that has 2 wheels on its front axle and 4 wheels on each of its other axles ?\nOptions: a. $ 2.00, b. $ 3.00, c. $ 3.50, d. $ 4.00, e. $ 5.00", "output": [ "a" ] }, { "id": "task1678-7474c9eba35d4b00b3fa5ea52f74ae34", "input": "Problem: if a: b: : 3: 7, then what is ( 5 a + 2 b.: ( a - 2 b. ?\nOptions: a. 57: 11, b. - 57: 11, c. 11: 10, d. - 29: 11, e. - 1: 10", "output": [ "d" ] }, { "id": "task1678-9c9915d6bdcb445688a82b2e165e853d", "input": "Problem: in a group of 100 people, 90 have an age of more 30 years, and the others have an age of less than 20 years. if a person is selected at random from this group, what is the probability the person ' s age is less than 20 ?\nOptions: a. 0.1, b. 0.55, c. 0.65, d. 0.75, e. 0.85", "output": [ "a" ] }, { "id": "task1678-c8dab833771b4307bcb3e59d76049c6e", "input": "Problem: an article is bought for rs. 1200 and sold for rs. 800, find the loss percent ?\nOptions: a. 16 %, b. 35 %, c. 33 %, d. 18 %, e. 12 %", "output": [ "c" ] }, { "id": "task1678-2309acd94cdd4ec6af6e4224dd95c671", "input": "Problem: how much is 80 % of 45 is greater than 4 / 5 of 25 ?\nOptions: a. 15, b. 57, c. 16, d. 16, e. 73", "output": [ "c" ] }, { "id": "task1678-188cd8c5452b45fb9eeeb181a817e079", "input": "Problem: a small water pump would take 3 hours to fill an empty tank. a larger pump would take 3 / 4 hour to fill the same tank. how many hours would it take both pumps, working at their respective constant rates, to fill the empty tank if they began pumping at the same time ?\nOptions: a. 3 / 4, b. 3 / 5, c. 5 / 7, d. 1 / 2, e. 4 / 5", "output": [ "b" ] }, { "id": "task1678-837da0552db841479f2ba2b7127aab14", "input": "Problem: if p ( a. = 5 / 7 and p ( b. = 2 / 5, find p ( a n b. if a and b are independent events.\nOptions: a. 7 / 25, b. 3 / 25, c. 8 / 25, d. 2 / 7, e. 3 / 17", "output": [ "d" ] }, { "id": "task1678-63dc6b7068044ddca90fd27e8a1ec9fb", "input": "Problem: divide rs. 5500 among a, b and c so that a receives 1 / 3 as much as b and c together and b receives 1 / 5 as a and c together. a ' s share is ?\nOptions: a. 1227, b. 1268, c. 1375, d. 1200, e. 1210", "output": [ "c" ] }, { "id": "task1678-6b57b106507f439082d0f81743de8e3a", "input": "Problem: in digging a pond 20 m * 10 m * 5 m the volumes of the soil extracted will be ?\nOptions: a. 100 cu. m, b. 1000 cu. m, c. 10000 cu. m, d. 2000 cu. m, e. 4000 cu. m", "output": [ "b" ] }, { "id": "task1678-c5b68eb4ba694692af554cdd51d500b5", "input": "Problem: in traveling from a dormitory to a certain city, a student went 1 / 3 of the way by foot, 3 / 5 of the way by bus, and the remaining 2 kilometers by car. what is the distance, in kilometers, from the dormitory to the city ?\nOptions: a. 30, b. 45, c. 60, d. 90, e. 120", "output": [ "a" ] }, { "id": "task1678-d06e728e3e76442595b1f6ee6dda1e3f", "input": "Problem: a factory produces 6500 toys per week. if the workers at this factory work 5 days a week and if these workers make the same number of toys everyday, how many toys are produced each day ?\nOptions: a. 1375 toys, b. 2375 toys, c. 1300 toys, d. 1375 toys, e. 2375 toys", "output": [ "c" ] }, { "id": "task1678-1160682c4dcb44b5aae29ee22c0eb9c2", "input": "Problem: a farmer spent $ 37 on feed for chickens and goats. he spent 40 % money on chicken feed, which he bought at a 20 % discount off the full price, and spent the rest on goat feed, which he bought at full price. if the farmer had paid full price for both the chicken feed and the goat feed, what amount would he have spent on the chicken feed and goat feed combined ?\nOptions: a. $ 37.80, b. $ 38.50, c. $ 39.20, d. $ 39.50, e. $ 40.70", "output": [ "e" ] }, { "id": "task1678-139bafdc9d56417994a9a8abd189e653", "input": "Problem: the charge for a single room at hotel p is 20 percent less than the charge for a single room at hotel r and 10 percent less than the charge for a single room at hotel g. the charge for a single room at hotel r is what percent greater than the charge for a single room at hotel g ?\nOptions: a. 15 %, b. 20 %, c. 12.5 %, d. 50 %, e. 150 %", "output": [ "c" ] }, { "id": "task1678-368de6d468d94e9092f37fc7b9a9a804", "input": "Problem: the ratio of the volumes of two cubes is 729: 125. what is the ratio of their total surface areas ?\nOptions: a. 81: 21, b. 81: 22, c. 81: 24, d. 81: 25, e. 81: 29", "output": [ "d" ] }, { "id": "task1678-fa42f79dfe33473b91fa3f252b938254", "input": "Problem: how many multiples of 10 are there between 10 and 290 ?\nOptions: a. 8, b. 18, c. 27, d. 51, e. 60", "output": [ "c" ] }, { "id": "task1678-e11424240a934f79bac1285f414b3153", "input": "Problem: what is the remainder when 1041 * 1047 * 1050 * 1053 is divided by 33 ?\nOptions: a. 3, b. 27, c. 30, d. 21, e. 18", "output": [ "d" ] }, { "id": "task1678-7554bddf2473460d892a2d28aafed942", "input": "Problem: if the average ( arithmetic mean ) of a and b is 110, and the average of b and c is 170, what is the value of a − c ?\nOptions: a. − 120, b. − 100, c. 100, d. 135, e. it can not be determined from the information given", "output": [ "a" ] }, { "id": "task1678-bc86168a3d904c44a53b0817fe665f07", "input": "Problem: line m lies in the xy - plane. the y - intercept of line m is - 2, and line m passes through the midpoint of the line segment whose endpoints are ( 2, 8 ) and ( 144 ). what is the slope of line m ?\nOptions: a. - 2, b. - 1, c. 0, d. 1, e. 2", "output": [ "d" ] }, { "id": "task1678-3d1f6aec728d4cb38087642e3c418192", "input": "Problem: the average weight of a, b and c is 60 kg. if the average weight of a and b be 70 kg and that of b and c be 50 kg, then the weight of b is :\nOptions: a. 50 kg, b. 60 kg, c. 55 kg, d. 57 kg, e. 62 kg", "output": [ "b" ] }, { "id": "task1678-30c2c4eec2df4ea28cf1cbd4be396bce", "input": "Problem: length of a rectangular plot is 22 mtr more than its breadth. if the cost of fencin gthe plot at 26.50 per meter is rs. 5300, what is the length of the plot in mtr ?\nOptions: a. 51 m, b. 61 m, c. 71 m, d. 81 m, e. 91 m", "output": [ "b" ] }, { "id": "task1678-2486f4a1bc804013bfa67dcb88ea97f3", "input": "Problem: a reduction of 20 % in the price of oil enables a house wife to obtain 4 kgs more for rs. 600, what is the reduced price for kg ?\nOptions: a. 20, b. 40, c. 36, d. 30, e. 35", "output": [ "d" ] }, { "id": "task1678-3666f2e8153c484d9e20a4fbb6c7f4f4", "input": "Problem: after spending rs. 5000 on rent, rs. 1500 on milk, rs. 4500 on groceries, rs. 2500 on childrens education rs. 2000 on petrol and rs. 2500 on miscellaneous expenses, mr. kishore saved 10 % of his monthly salary. how much did he save in rs. ?\nOptions: a. 2160, b. 2350, c. 2000, d. 2300, e. none of these", "output": [ "c" ] }, { "id": "task1678-f84f208f72784d0da044bc11f0b4c2da", "input": "Problem: jim drove 384 miles of a 1200 miles journey. how many more miles does he need to drive to finish his journey ?\nOptions: a. 113 miles, b. 432 miles, c. 456 miles, d. 816 miles, e. 767 miles", "output": [ "d" ] }, { "id": "task1678-0634eb5b7913402db7a052287612cc64", "input": "Problem: find the product of the local value and absolute value of 4 in 564823\nOptions: a. 1600, b. 8000, c. 16000, d. 12000, e. 18000", "output": [ "c" ] }, { "id": "task1678-574b1524a88040e59cee322508d07787", "input": "Problem: the banker â € ™ s gain on a sum due 3 years hence at 10 % per annum is rs. 60. the banker â € ™ s discount is\nOptions: a. rs. 960, b. rs. 840, c. rs. 1020, d. rs. 760, e. rs. 260", "output": [ "e" ] }, { "id": "task1678-bcc3ee7a0b914cd693c1ba4c85d6a261", "input": "Problem: robert ' s salary was decreased by 70 % and subsequently increased by 70 %. how much percentage does he lose ?\nOptions: a. 10 %, b. 20 %, c. 25 %, d. 30 %, e. 49 %", "output": [ "e" ] }, { "id": "task1678-8f0da93435cd4bfe9be07acf2013b982", "input": "Problem: a train covers a distance of 54 km in 15 min. if it takes 8 sec to pass a telegraph post, then the length of the train is ?\nOptions: a. 470, b. 480, c. 490, d. 500, e. 510", "output": [ "b" ] }, { "id": "task1678-1c7b4c2f211b46aab3ab76714e488559", "input": "Problem: the difference between the value of a number increased by 12.5 % and the value of the original number decreased by 25 % is 30. what is the original number e ?\nOptions: a. 60, b. 80, c. 40, d. 120, e. 160", "output": [ "b" ] }, { "id": "task1678-c893c59117a44d2ba0a06b00b1a9f67b", "input": "Problem: what is the remainder when you divide 2 ^ 200 - 3 by 7 ?\nOptions: a. 1, b. 2, c. 3, d. 4, e. 5", "output": [ "a" ] }, { "id": "task1678-d9b8404bff55406db25d8494b214ead5", "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": "task1678-855da7779afb4267b2fa64b3dcd2c6ce", "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": "task1678-b36db30588714875ab359a406f0f8bb4", "input": "Problem: the total marks obtained by a student in mathematics and physics is 32 and his score in chemistry is 20 marks more than that in physics. find the average marks scored in mathamatics and chemistry together.\nOptions: a. 40, b. 26, c. 27, d. 28, e. 22", "output": [ "b" ] }, { "id": "task1678-2de05fce81df4fcd803c0169f7c798f5", "input": "Problem: in the rectangular coordinate system, if the line x = 4 y + 5 passes through points ( m, n ) and ( m + 2, n + p ), what is the value of p ?\nOptions: a. 3, b. 2, c. 1 / 2, d. 1 / 3, e. 1 / 4", "output": [ "c" ] }, { "id": "task1678-4ae79c77621a4e5696b4f0ca96ba0a62", "input": "Problem: the average weight of 4 students decreases by 8 kg when one of them weighing 96 kg is replaced by a new student. the weight of the student is\nOptions: a. 62 kg, b. 60 kg, c. 64 kg, d. 72 kg, e. none of these", "output": [ "c" ] }, { "id": "task1678-353e6036c6bd4aacb77b428e4d12e839", "input": "Problem: if 4 men working 10 hours a day earn rs. 800 per week, then 9 men working 6 hours a day will earn how much per week ?\nOptions: a. rs 840, b. rs 1320, c. rs 1080, d. rs 1680, e. none of these", "output": [ "c" ] }, { "id": "task1678-9ac64f8e087b4232bbebbe49dc8d6528", "input": "Problem: in a rectangular coordinate system, what is the area of a rhombus whose vertices have the coordinates ( 0, 4.5 ), ( 8, 0 ), ( 0, - 4.5 ), ( - 8, 0 ) ?\nOptions: a. 56, b. 72, c. 112, d. 116, e. 120", "output": [ "b" ] }, { "id": "task1678-ba39294a25df4518b31ee8b340b0f471", "input": "Problem: a theater box office sold an average ( arithmetic mean ) of 63 tickets per staff member to a particular movie. among the daytime staff, the average number sold per member was 78, and among the evening staff, the average number sold was 60. if there are no other employees, what was the ratio of the number of daytime staff members to the number of evening staff members ?\nOptions: a. 2: 3, b. 1: 4, c. 1: 5, d. 6: 11, e. 4: 7", "output": [ "c" ] }, { "id": "task1678-21e5b022fb9b42c3ba3fc50029c48c77", "input": "Problem: pipe a fills a swimming pool in 4 hours. pipe b empties the pool in 6 hours. if pipe a was opened at 9: 00 am and pipe b at 10: 00 am, at what time will the pool be full ?\nOptions: a. 19: 00, b. 17: 00, c. 16: 00, d. 18: 00, e. 20: 00", "output": [ "a" ] }, { "id": "task1678-ec1eebfd081f42d98394a2c63e0d07a0", "input": "Problem: a train running at the speed of 100 km / hr crosses a pole in 9 sec. what is the length of the train ?\nOptions: a. 298 m, b. 250 m, c. 208 m, d. 988 m, e. 299 m", "output": [ "b" ] }, { "id": "task1678-4cc1c50564034984b9288b1a4790a875", "input": "Problem: an engineer designed a ball so that when it was dropped, it rose with each bounce exactly one - half as high as it had fallen. the engineer dropped the ball from a 16 - meter platform and caught it after it had traveled 45 meters. how many times did the ball bounce ?\nOptions: a. 5, b. 4, c. 7, d. 8, e. 9", "output": [ "b" ] }, { "id": "task1678-6a1bc5b78a124a688e5428f008610898", "input": "Problem: average between 2 sets of numbers is closer to the set with more no ' s ?\nOptions: a. 70, b. 80, c. 90, d. 92, e. 94", "output": [ "b" ] }, { "id": "task1678-b2a26215c80e4eafaaefe5854700c4bd", "input": "Problem: a merchant marks his goods up by 30 % and then offers a discount of 10 % on the marked price. what % profit does the merchant make after the discount ?\nOptions: a. 17 %, b. 25 %, c. 69 %, d. 31 %, e. 19 %", "output": [ "a" ] }, { "id": "task1678-2b49bcf02bcd4b1981075e601b45ca0a", "input": "Problem: elvin ' s monthly telephone bill is the sum of the charge for the calls he made during the month and a fixed monthly charge for internet service. elvin ' s total telephone bill for january was $ 46 and elvin ' s total telephone bill for february was 76 $. if elvin ' s charge for the calls he made in february was twice the charge for the calls he made in january, what is elvin ' s fixed monthly charge for internet service ?\nOptions: a. $ 5, b. $ 10, c. $ 14, d. $ 16, e. $ 28", "output": [ "d" ] }, { "id": "task1678-73daf3d5a8b5434f8e66106c3fa16381", "input": "Problem: maxwell leaves his home and walks toward brad ' s house at the same time that brad leaves his home and runs toward maxwell ' s house. if the distance between their homes is 70 kilometers, maxwell ' s walking speed is 4 km / h, and brad ' s running speed is 6 km / h, what is the distance traveled by brad ?\nOptions: a. 42, b. 18, c. 20, d. 24, e. 30", "output": [ "a" ] }, { "id": "task1678-df8fe97c63b84d2fae06e51096409a68", "input": "Problem: if a, b and c together can finish a piece of work in 4 days. a alone in 12 days and b in 18 days, then c alone can do it in ?\nOptions: a. 7 days, b. 3 days, c. 9 days, d. 8 days, e. 2 days", "output": [ "c" ] }, { "id": "task1678-df40d10baec14b90ad2b2397d141aa2a", "input": "Problem: machine a and machine b are each used to manufacture 440 sprockets. it takes machine a 10 hours longer to produce 440 sprockets than machine b. machine b produces 10 % more sprockets per hour than machine a. how many sprockets per hour does machineaproduce ?\nOptions: a. 6, b. 6.6, c. 60, d. 4.4, e. 110", "output": [ "d" ] }, { "id": "task1678-33aa6d20d83b4e6dbffe5d1fc27466a0", "input": "Problem: on a certain day, tim invested $ 600 at 10 percent annual interest, compounded annually, and lana invested 800 at 5 percent annual interest, compounded annually. the total amount of interest earned by tim ’ s investment in the first 2 years was how much greater than the total amount of interest earned by lana ’ s investment in the first 2 years ?\nOptions: a. $ 5, b. $ 15, c. $ 44, d. $ 100, e. $ 105", "output": [ "c" ] }, { "id": "task1678-589fa3df253046d08688e1866ba09508", "input": "Problem: if y is the smallest positive integer such that 630 multiplied by y is the square of an integer, then y must be\nOptions: a. 20, b. 50, c. 60, d. 70, e. 140", "output": [ "d" ] }, { "id": "task1678-42a3321fcf0a430ea9864a0090b1fdc7", "input": "Problem: today mary ’ s father is 4 times as old as mary. 3 years ago, he was 5 times as old. how old is mary today ?\nOptions: a. 6, b. 8, c. 10, d. 12, e. 14", "output": [ "d" ] }, { "id": "task1678-9adc771c32d8466baf9839094643c3fc", "input": "Problem: a horse is tethered to one corner of a rectangular grassy field 42 m by 26 m with a rope 16 m long. over how much area of the field can it graze ?\nOptions: a. 154 cm 2, b. 308 m 2, c. 201 m 2, d. 205 m 2, e. none of these", "output": [ "c" ] }, { "id": "task1678-9a72b1b0afb346e4b57c1c74c849404e", "input": "Problem: in the xy - coordinate system, if ( m, n ) and ( m + 2, n + k ) are two points on the line perpendicular to x = 2 y + 5, then k = ?\nOptions: a. - 5, b. - 8, c. 2, d. - 4, e. 1", "output": [ "d" ] }, { "id": "task1678-675642133690458db3c56ca982bd4e9f", "input": "Problem: a batsman in his 17 th innings makes a score of 85 and their by increasing his average by 3. what is his average after the 17 thinnings ?\nOptions: a. 22, b. 77, c. 26, d. 37, e. 88", "output": [ "d" ] }, { "id": "task1678-c02ac2a1d8464f11b336effcc0d65d76", "input": "Problem: the average ( arithmetic mean ) of 4 different integers is 76. if the largest integer is 90, what is the least possible value of the smallest integer ?\nOptions: a. 1, b. 19, c. 29, d. 30, e. 37", "output": [ "e" ] }, { "id": "task1678-ac4b311aa29b4eec932fa93832ce822e", "input": "Problem: a certain elevator has a safe weight limit of 2,000 pounds. what is the greatest possible number of people who can safely ride on the elevator at one time with the average ( arithmetic mean ) weight of half the riders being 200 pounds and the average weight of the others being 230 pounds ?\nOptions: a. 7, b. 8, c. 9, d. 10, e. 11", "output": [ "c" ] }, { "id": "task1678-6e2fd8be57854c78a96b06e4243aa7ea", "input": "Problem: the average salary of all the workers in a workshop is $ 8000. the average salary of 7 technicians is $ 12000 and the average salary of the rest is $ 6000. the total number of workers in the shop is ?\nOptions: a. 15, b. 18, c. 21, d. 25, e. 31", "output": [ "c" ] }, { "id": "task1678-c90ad7c38f5e40dc9461e397e2fd756f", "input": "Problem: a farmer grows broccoli in his farm that is in the shape of a square. each broccoli takes 1 square foot of area in his garden. this year, he has increased his output by 101 broccoli when compared to last year. the shape of the area used for growing the broccoli has remained a square in both these years. how many broccoli did he produce this year ?\nOptions: ['a. 2400', 'b. 2601', 'c. 1987', 'd. 2000', 'e. can not be determined']", "output": [ "b" ] }, { "id": "task1678-d2215f690e944dc286864250a659606b", "input": "Problem: two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. the ratio of their speeds i\nOptions: a. 1: 3, b. 3: 2, c. 3: 4, d. 4: 2, e. none of these", "output": [ "b" ] }, { "id": "task1678-afd7c4c708a74e2d82af806bc0510644", "input": "Problem: a person can swim in still water at 10 km / h. if the speed of water 8 km / h, how many hours will the man take to swim back against the current for 16 km ?\nOptions: a. 3, b. 7, c. 5, d. 8, e. 6", "output": [ "d" ] }, { "id": "task1678-85dbe2150dd742f1943ae5b1f2293185", "input": "Problem: 90 students represent x percent of the boys at jones elementary school. if the boys at jones elementary make up 60 % of the total school population of x students, what is x ?\nOptions: a. 122, b. 150, c. 225, d. 250, e. 500", "output": [ "a" ] }, { "id": "task1678-dfdaeb141b594ab498110df559f5779e", "input": "Problem: maxwell leaves his home and walks toward brad ' s house at the same time that brad leaves his home and runs toward maxwell ' s house. if the distance between their homes is 65 kilometers, maxwell ' s walking speed is 2 km / h, and brad ' s running speed is 3 km / h. what is the distance traveled by maxwell when they meet in the middle ?\nOptions: a. 25, b. 23, c. 22, d. 24, e. 26", "output": [ "e" ] }, { "id": "task1678-4089c2649a0445519d4281dbbb8d172a", "input": "Problem: what is the smallest integer that is multiple of 5, 7,9\nOptions: a. a. 70, b. b. 315, c. c. 200, d. d. 280, e. e. 140", "output": [ "b" ] }, { "id": "task1678-d16fb8609514475fa247c4da23f40103", "input": "Problem: the odds in favour of an events are 3: 5. the probability of occurrence of the event is\nOptions: a. 3 / 8, b. 2 / 7, c. 1 / 3, d. 2 / 5, e. 6 / 7", "output": [ "a" ] }, { "id": "task1678-f1480c69b58d4b8681d972d338c63732", "input": "Problem: if john makes a contribution to a charity fund at school, the average contribution size will increase by 50 % reaching $ 75 per person. if there were 3 other contributions made before john ' s, what is the size of his donation ?\nOptions: a. $ 100, b. $ 150, c. $ 200, d. $ 250, e. $ 450", "output": [ "b" ] }, { "id": "task1678-bd0b441171da41a9bfe6922d09d73f83", "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": "task1678-db434dafb8b6423d8a314c01665d88fa", "input": "Problem: seller selling an apple for rs. 18, a seller loses 1 / 6 th of what it costs him. the cp of the apple is ?\nOptions: a. 10, b. 12, c. 19, d. 18, e. 20", "output": [ "c" ] }, { "id": "task1678-788e661ea5ec4323a78ab7a99d13071f", "input": "Problem: if n is a positive integer and the product of all the integers from 1 to n, inclusive, is a multiple of 8, what is the least possible value of n ?\nOptions: a. 7, b. 4, c. 5, d. 3, e. 6", "output": [ "b" ] }, { "id": "task1678-61ab1867b44b43e2974aa7ea0f5eaac0", "input": "Problem: 1.5, 2.5, 4.5, 7.5, 11.5, (.... )\nOptions: a. 16.5, b. 15.5, c. 14.5, d. 17.5, e. 17", "output": [ "a" ] }, { "id": "task1678-55d5f2647e574c88bf4d66cbc0b0c344", "input": "Problem: a train covers a distance of 12 km in 10 minutes. if it takes 4 seconds to pass a telegraph post, then the length of the train is\nOptions: a. 80 m, b. 120 m, c. 140 m, d. 160 m, e. 170 cm", "output": [ "a" ] }, { "id": "task1678-5b3cc3db043146f6a36da035de9e8fce", "input": "Problem: what positive number, when squared, is equal to the cube of the positive square root of 14 ?\nOptions: a. 64, b. 32, c. 8, d. 4, e. 2", "output": [ "d" ] }, { "id": "task1678-68553f1663b34a7b84d6e234a185a098", "input": "Problem: a man saves 20 % of his monthly salary. if an account of dearness of things he is to increase his monthly expenses by 20 %, he is only able to save rs. 250 per month. what is his monthly salary ?\nOptions: a. 5000, b. 2999, c. 2878, d. 6250, e. 2771", "output": [ "d" ] }, { "id": "task1678-1131184a945d48f9b81363525c20e4ca", "input": "Problem: if 15 students in a class average 75 % on an exam and 10 students average 90 % on the same exam, what is the average in percent for all 25 students ?\nOptions: a. 80 %, b. 81 %, c. 82 %, d. 83 %, e. 84 %", "output": [ "b" ] }, { "id": "task1678-3b88aee75fc240d3b734736149ae5fea", "input": "Problem: in a 100 m race a beats b by 25 m b beats c by 4 then a beats c by\nOptions: a. 24 m, b. 25 m, c. 26 m, d. 27 m, e. 28 m", "output": [ "e" ] }, { "id": "task1678-45837542425b4903858b38ffc1cdd803", "input": "Problem: for each of her sales, a saleswoman receives a commission equal to 20 percent of the first $ 500 of the total amount of the sale, plus 50 percent of the total amount in excess of $ 500. if the total amount of one of her sales was $ 800, the saleswoman ’ s commission was approximately what percent of the total amount of the sale ?\nOptions: a. 22 %, b. 24 %, c. 25 %, d. 27 %, e. 31 %", "output": [ "e" ] }, { "id": "task1678-2a90e9c868634ac6968de9a58356cbd3", "input": "Problem: the number of singles that a baseball player hit increased 10 percent from her first season to her second season, and the number of doubles that she hit in the same time period decreased by 1 percent. if the total number of singles and doubles that she hit increased 3 percent from her first season to her second season, what is the ratio of the number of singles she hit in her first season to the number of doubles she hit in her first season ?\nOptions: a. 2: 3, b. 3: 5, c. 4: 7, d. 5: 8, e. 7: 9", "output": [ "c" ] }, { "id": "task1678-b950fd6a8ad444ea924c9546bdf2f320", "input": "Problem: a man swims downstream 60 km and upstream 100 km taking 10 hours each time, what is the speed of the man in still water ?\nOptions: a. 24, b. 42, c. 6, d. 8, e. 12", "output": [ "d" ] }, { "id": "task1678-108eb069e3d14c3a872d7e56a08b31bd", "input": "Problem: a light flashes every 30 seconds, how many times will it flash in ? of an hour ?\nOptions: a. 550, b. 600, c. 650, d. 700, e. 120", "output": [ "e" ] }, { "id": "task1678-1d4c9d7316ca40fe8ebe60a312bf2cec", "input": "Problem: the difference between the place values of two sixes in the numerical 81369206 is\nOptions: a. 0, b. 599, c. 5994, d. 59994, e. none of them", "output": [ "d" ] }, { "id": "task1678-cac88cef2da84871a5ee8001043a71e0", "input": "Problem: if the area of a circle is 81 pi square feet, find its circumference.\nOptions: a. 15, b. 16, c. 17, d. 18, e. 19", "output": [ "d" ] }, { "id": "task1678-fc4a76b117654ba2822f9f348c5951de", "input": "Problem: tourist purchased a total of 30 travelers checks in $ 50 and $ 100 denominations. the total worth of the travelers checks is $ 1800. how many checks of $ 50 denominations can he spend so that average amount ( arithmetic mean ) of the remaining travelers checks is $ 100 ?\nOptions: a. 4, b. 12, c. 15, d. 20, e. 24", "output": [ "e" ] }, { "id": "task1678-9fdfc2066cd24d509b108ee22c308576", "input": "Problem: at an election 2 candidates are participated and a candidate got 20 % of votes and defeated by 500. and 10 votes are invalid. find the total polled votes ?\nOptions: a. 843, b. 1023, c. 965, d. 413, e. 1245", "output": [ "a" ] }, { "id": "task1678-4d02c1284492431baad763652cdf1661", "input": "Problem: a cat chases a rat 6 hours after the rat runs. cat takes 4 hours to reach the rat. if the average speed of the cat is 90 kmph, what s the average speed of the rat ?\nOptions: a. 32 kmph, b. 26 kmph, c. 35 kmph, d. 36 kmph, e. 32 kmph", "output": [ "d" ] }, { "id": "task1678-eb44098a49764d7eac4513aef75bd51b", "input": "Problem: average of 5 consecutive even numbers is 35. find the greatest number in these 5 numbers ?\nOptions: a. 26, b. 29, c. 39, d. 42, e. 43", "output": [ "c" ] }, { "id": "task1678-5b039c086a2b4a8f935227adde8bce15", "input": "Problem: a wall photo 2 inches wide is placed around a rectangular paper with dimensions 8 inches by 12 inches. what is the area of the wall photo, in square inches ?\nOptions: ['a. 96', 'b. 86', 'c. 108', 'd. 144', 'e. 118']", "output": [ "a" ] }, { "id": "task1678-412ab4e657f14195a5a612f28697908b", "input": "Problem: the perimeter of a triangle is 36 cm and the inradius of the triangle is 2.5 cm. what is the area of the triangle\nOptions: a. a. 72, b. b. 45, c. c. 729, d. d. 34, e. e. 35", "output": [ "b" ] }, { "id": "task1678-ca7d7cf97d6745fa9e619746478f67a9", "input": "Problem: john found that the average of 15 no. ' s is 40. if 10 is added to each number then the mean of number is ?\nOptions: a. 50, b. 55, c. 65, d. 72, e. 78", "output": [ "a" ] }, { "id": "task1678-aedbec0453a64f8890247f2e3c34583b", "input": "Problem: a car salesman earns a base salary of $ 1000 per month plus a commission of $ 200 for each car he sells. if the car salesman earned $ 2000 in march, how many cars does he need to sell in april in order to double his march earnings ?\nOptions: a. 14, b. 15, c. 16, d. 17, e. 18", "output": [ "b" ] }, { "id": "task1678-90108fd0cbd84a00a475324a6e0fb56f", "input": "Problem: barbata invests $ 2200 in the national bank at 5 %. how much additional money must she invest at 8 % so that the total annual income will be equal to 6 % of her entire investment ?\nOptions: a. 1100, b. 3000, c. 1000, d. 3600, e. 2400", "output": [ "a" ] }, { "id": "task1678-589941e1139743ed83f458e55c69c5f3", "input": "Problem: 24 lbs of coffee p and 25 lbs of coffee v are mixed to make coffee x and y. the ratio of p to v in coffee x is 4 to 1, in y is 1 to 5. how much of p is contained in the mixture x ?\nOptions: a. 10, b. 20, c. 30, d. 40, e. 50", "output": [ "b" ] }, { "id": "task1678-971676649cb148ff90913ebfc1154ef1", "input": "Problem: the average of 10 numbers is 0. in those 10, at the least, how many may be greater than or equal to zero ?\nOptions: a. 0, b. 1, c. 2, d. 3, e. 5", "output": [ "b" ] }, { "id": "task1678-b21b933d88bb4764ba6b1ad05c52e717", "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": "task1678-bdf2ed8fde394e6f85291a797505c665", "input": "Problem: arjun started a business with rs. 20,000 and is joined afterwards by anoop with rs. 80, 000. after how many months did anoop join if the profits at the end of the year are divided equally ?\nOptions: a. 3, b. 9, c. 5, d. 6, e. 7", "output": [ "b" ] }, { "id": "task1678-a640ea612976469fb017c37314885b3c", "input": "Problem: if x + y = 260, x - y = 200, for integers of x and y, y = ?\nOptions: a. 200, b. 230, c. 50, d. 115, e. 150", "output": [ "b" ] }, { "id": "task1678-3ba9a113662841c6a5fd60f41c70d9d3", "input": "Problem: a man can row 24 kmph in still water. it takes him thrice as long to row up as to row down the river. find the rate of the stream ?\nOptions: a. 6, b. 12, c. 18, d. 15, e. 20", "output": [ "b" ] }, { "id": "task1678-0dea232e745e4b4b80a391d05dac6775", "input": "Problem: a bookseller sells his books at a 20 % markup in price. if he sells a book for $ 36.00, how much did he pay for it ?\nOptions: a. $ 34.40, b. $ 34.00, c. $ 32.00, d. $ 30.00, e. $ 35.00", "output": [ "d" ] }, { "id": "task1678-3f3e6bac76e249c98ce93fc7ecf4880b", "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": "task1678-9da094b969244ddbb16d4ec787e8e758", "input": "Problem: suraj has a certain average of runs for 16 innings. in the 17 th innings he scores 92 runs thereby increasing his average by 4 runs. what is his average after the 17 th innings ?\nOptions: a. 48, b. 64, c. 28, d. 72, e. 27", "output": [ "c" ] }, { "id": "task1678-af1b2af90e6244629d67754be0aeb5b9", "input": "Problem: the wages earned by robin is 38 % more than that earned by erica. the wages earned by charles is 60 % more than that earned by erica. how much % is the wages earned by charles more than that earned by robin ?\nOptions: a. 23 %, b. 27.53 %, c. 30 %, d. 50 %, e. 100 %", "output": [ "b" ] }, { "id": "task1678-352efb01f8cb4f62a931355be4d4cb0c", "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": "task1678-43462ec51c07463192a5413375cddfc6", "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": "task1678-474583e332fd4338a9cc3ef67bd0b0e8", "input": "Problem: if x / 2 = y / 5 = z / 6, then ( x + y + z ) / x is equal to :\nOptions: a. 13, b. 12, c. 15 / 2, d. 13 / 2, e. none of these", "output": [ "d" ] }, { "id": "task1678-e3528ba6c469491bb8b1e47686bb776d", "input": "Problem: a man has some hens and cows. if the number of heads be 48 and the number of feet equals 136, then the number of hens will be\nOptions: a. 22, b. 24, c. 26, d. 20, e. 28", "output": [ "e" ] }, { "id": "task1678-40d7829341fb437b9937876a97de9368", "input": "Problem: a train covers a distance of 100 km in 1 hour. if its speed is decreased by 12 km / hr, the time taken by the car to cover the same distance will be ?\nOptions: a. 1 hr, b. 1 hr 8 min, c. 50 min, d. 1 hr 30 min, e. 1 hr 45 min", "output": [ "b" ] }, { "id": "task1678-3519fd4c7e9a470eaf6785b73501d675", "input": "Problem: the average of 25 results is 20. the average of first 12 of those is 14 and the average of last 12 is 17. what is the 13 th result ?\nOptions: a. 128, b. 75, c. 69, d. 78, e. 45", "output": [ "a" ] }, { "id": "task1678-716d0d5e3bf547e799f7925df4ab0936", "input": "Problem: if d is the smallest positive integer such that 3,150 multiplied by d is the square of an integer, then d must be\nOptions: ['a. 2', 'b. 5', 'c. 6', 'd. 7', 'e. 14']", "output": [ "e" ] }, { "id": "task1678-9feb3a45af2646b78e1d8da62939407d", "input": "Problem: x and y started a business by investing rs. 36000 and rs. 42000 respectively after 4 months z joined in the business with an investment of rs. 48000, then find share of z in the profit of rs. 14190 ?\nOptions: a. 3200, b. 4000, c. 3250, d. 4128, e. 3985", "output": [ "d" ] }, { "id": "task1678-a878ae9b0d9d4188b3814b1edb27163e", "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": "task1678-22a2cf50b1ba4105a209dbae84788cd6", "input": "Problem: in an examination, 300 students appeared. out of these students; 26 % got first division, 54 % got second division and the remaining just passed. assuming that no student failed; find the number of students who just passed.\nOptions: a. 33, b. 37, c. 54, d. 60, e. 01", "output": [ "d" ] }, { "id": "task1678-21e890328b174ad39c5454f6652a7a47", "input": "Problem: on a certain transatlantic crossing, 30 percent of a ship ' s passengers held round - trip tickets and also took their cars abroad the ship. if 60 percent of the passengers with round - trip tickets did not take their cars abroad the ship, what percent of the ship ' s passengers held round - trip tickets ?\nOptions: a. 33.3 %, b. 40 %, c. 50 %, d. 60 %, e. 75 %", "output": [ "e" ] }, { "id": "task1678-4fb716715bf04c1390117e98a162648d", "input": "Problem: p and q invested in a shop. the profits were divided in the ratio of 4: 6 respectively. if p invested rs. 55,000, the amount invested by q is :\nOptions: a. 48000, b. 40000, c. 35000, d. 60000, e. none", "output": [ "e" ] }, { "id": "task1678-abe0844abdfe45a189370eb23f982a9c", "input": "Problem: evaluate ( 12 + 22 + 32 +... + 102 )\nOptions: a. 430, b. 720, c. 385, d. 265, e. 295", "output": [ "c" ] }, { "id": "task1678-b22f14ac3bc8420684d3e1ecf776c97a", "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": "task1678-8bfe6e5170f14d6598331654f693ec06", "input": "Problem: find value for x from below equation ? x + 1 = - 4\nOptions: a. - 5, b. - 4, c. 4, d. 3, e. 2", "output": [ "a" ] }, { "id": "task1678-64aa0bef3a2f445c94e0853d4a9ed5d3", "input": "Problem: what is the remainder when 1201 × 1202 × 1204 × 1205 is divided by 6 ?\nOptions: a. 1, b. 2, c. 3, d. 4, e. 5", "output": [ "d" ] }, { "id": "task1678-89b8186c697c43de91a144e708d878d8", "input": "Problem: students at a school were on average 180 cm tall. the average female height was 170 cm, and the average male height was 184 cms. what was the ratio d of men to women ?\nOptions: a. 5: 2, b. 5: 1, c. 4: 3, d. 4: 1, e. 3: 1", "output": [ "a" ] }, { "id": "task1678-82c5ccb41e1840c1ba3947984c045e0a", "input": "Problem: at what rate of compound interest per annum will a sum of $ 1200 becomes 1348.32 in 2 years ?\nOptions: a. 5 %, b. 6 %, c. 7 %, d. 8 %, e. 10 %", "output": [ "b" ] }, { "id": "task1678-d78f58bc7d5c4f5ab629439f924e2607", "input": "Problem: the average weight of a group of boys is 30 kg. after a boy of weight 45 kg joins the group, the average weight of the group goes up by 1 kg. find the number of boys in the group originally ?\nOptions: a. 14, b. 15, c. 16, d. 17, e. 18", "output": [ "a" ] }, { "id": "task1678-e869139996294d8993fe7efef6507994", "input": "Problem: the food in a camp lasts for 10 men for 50 days. if 10 more men join, how many days will the food last ?\nOptions: a. 22 days, b. 25 days, c. 50 days, d. 16 days, e. 17 days", "output": [ "b" ] }, { "id": "task1678-91d8b130af964504a69ff10dc1e6d594", "input": "Problem: a group of hikers is planning a trip that will take them up a mountain using one route and back down using another route. they plan to travel down the mountain at a rate of one and a half times the rate they will use on the way up, but the time each route will take is the same. if they will go up the mountain at a rate of 6 miles per day and it will take them two days, how many miles long is the route down the mountain ?\nOptions: a. 16, b. 17, c. 18, d. 19, e. 20", "output": [ "c" ] }, { "id": "task1678-5172a006334a4251a88e475c4d5d80ea", "input": "Problem: if a ^ 2 + b ^ 2 = 15 and ab = 25, what is the value of the expression ( a - b. ^ 2 + ( a + b. ^ 2 ?\nOptions: a. 10, b. 20, c. 30, d. 60, e. 50", "output": [ "e" ] }, { "id": "task1678-164c4904ab5f4c3fb4a423c17a73452f", "input": "Problem: equal amount of water were poured into two empty jars of different capacities, which made one jar 1 / 3 full and other jar 1 / 2 full. if the water in the jar with lesser capacity is then poured into the jar with greater capacity, what fraction of the larger jar will be filled with water ?\nOptions: a. 2 / 3, b. 2 / 7, c. 1 / 2, d. 7 / 12, e. 1 / 7", "output": [ "a" ] }, { "id": "task1678-0c465829bdd54f0cb97a5d126b6844e3", "input": "Problem: a certain candy manufacturer reduced the weight of candy bar m by 5 percent buy left the price unchanged. what was the resulting percent increase in the price per ounce of candy bar m ?\nOptions: a. 5.5, b. 5.4, c. 5.3, d. 5.2, e. 5.1", "output": [ "d" ] }, { "id": "task1678-ce7bf2f99087414cad2bcc81d0ec099b", "input": "Problem: if | x - 9 | = 3 x, then x = ?\nOptions: a. 1.5, b. 3.1, c. 4.5, d. - 2.25, e. - 4.5", "output": [ "e" ] }, { "id": "task1678-4f7665584c564c2ba6720cad5f312783", "input": "Problem: mary ' s income is 60 percent more than tim ' s income, and tim ' s income is 60 percent less than juan ' s income. what percent of juan ' s income is mary ' s income ?\nOptions: a. 64 %, b. 120 %, c. 96 %, d. 80 %, e. 64 %", "output": [ "a" ] }, { "id": "task1678-53e1e4117b134add9845912752049087", "input": "Problem: 12. what is the dividend. divisor 17, the quotient is 9 and the remainder is 7.\nOptions: a. 150, b. 152, c. 154, d. 158, e. 160", "output": [ "e" ] }, { "id": "task1678-11baab89d15a47ab883db9d5b7a971dd", "input": "Problem: if the simple interest on a certain amount in at 4 % rate 5 years amounted to rs 1920 less than the principal. what was the principal ?\nOptions: a. 1500, b. 2500, c. 2507, d. 3200, e. 2400", "output": [ "e" ] }, { "id": "task1678-357a192caec741059a636c37171fe7ea", "input": "Problem: the diagonals of a rhombus are 15 cm and 20 cm. find its area ?\nOptions: a. 158, b. 129, c. 150, d. 123, e. 117", "output": [ "c" ] }, { "id": "task1678-e816c1d4c3814edf883c0e2e71cd1d42", "input": "Problem: how many different positive integers exist between 10 ^ 3 and 10 ^ 4, the sum of whose digits is equal to 2 ?\nOptions: a. 6, b. 7, c. 5, d. 4, e. 18", "output": [ "d" ] }, { "id": "task1678-94dd5f48f3a64ceab998768faa7692ac", "input": "Problem: if 1 / ( x + 4 ) + 1 / ( x - 4 ) = 1 / ( x - 4 ), what is the value of x ?\nOptions: a. 5, b. 4, c. 1, d. 2, e. 3", "output": [ "b" ] }, { "id": "task1678-96a192cce2074193a172f1a9e872bd9b", "input": "Problem: 8: 18: : 24: ?\nOptions: a. 38, b. 32, c. 44, d. 43, e. 42", "output": [ "a" ] }, { "id": "task1678-feddc205b1bd410c8fc436c3b43ad192", "input": "Problem: in n is a positive integer less than 200, and 2 n / 108 is an integer, then n has how many different positive prime factors ?\nOptions: a. 2, b. 3, c. 5, d. 6, e. 8", "output": [ "b" ] }, { "id": "task1678-77fa8a5afdb34d27a755eca1feffe130", "input": "Problem: what percent is 100 gm of 1 kg ?\nOptions: a. 25 %, b. 40 %, c. 10 %, d. 8 %, e. 12 %", "output": [ "c" ] }, { "id": "task1678-c408fd77a1b246198122a9eb4ca73315", "input": "Problem: the average of 9 observations was 8, that of the 1 st of 5 being 10 and that of the last 5 being 8. what was the 5 th observation ?\nOptions: a. 18, b. 12, c. 15, d. 17, e. 19", "output": [ "a" ] }, { "id": "task1678-a22e8f8f74ad43f5a05afd2febf5dbc1", "input": "Problem: sophia finished 2 / 3 of a book. she calculated that she finished 30 more pages than she has yet to read. how long is her book ?\nOptions: a. a. 90, b. b. 150, c. c. 130, d. d. 190, e. e. 210", "output": [ "a" ] }, { "id": "task1678-2a66f3e242824b84a3f904fc9057271a", "input": "Problem: in a recent election, geoff received 0.5 percent of the 6,000 votes cast. to win the election, a candidate needed to receive more than x % of the vote. if geoff needed exactly 3,571 more votes to win the election, what is the value of x ?\nOptions: a. 50, b. 54, c. 56, d. 60, e. 63", "output": [ "d" ] }, { "id": "task1678-ad07d1e134b6446b9216aeac3aefae92", "input": "Problem: which expression is the greatest ?\nOptions: a. 3252 / 3257, b. 3456 / 3461, c. 3591 / 3596, d. 3346 / 3351, e. 3453 / 3458", "output": [ "c" ] }, { "id": "task1678-ba6670f2a704471fb17324cb5cec6a6b", "input": "Problem: the end of a blade on an airplane propeller is 10 feet from the center. if the propeller spins at the rate of 1,320 revolutions per second, how many miles will the tip of the blade travel in one minute ? ( 1 mile = 5,280 feet )\nOptions: a. 200 π, b. 240 π, c. 300 π, d. 480 π, e. 1,200 π", "output": [ "c" ] }, { "id": "task1678-f9474ca37cc7422b8aff138730ff9e68", "input": "Problem: if there are 200 questions in a 3 hr examination. among these questions are 100 type a problems, which requires twice as much as time be spent than the rest of the type b problems. how many minutes should be spent on type a problems ?\nOptions: a. 72 min, b. 62 min, c. 70 min, d. 74 min, e. 120 min", "output": [ "e" ] }, { "id": "task1678-1565514c1e08444b8febcb75f63f0bd6", "input": "Problem: a and b are 90 km apart they start to move each other simultaneously a at speed 10 and b at 5 km / hr if every hour they double their speed what is distance that a pass until he meet b ?\nOptions: a. 30 km, b. 40 km, c. 50 km, d. 60 km, e. 70 km", "output": [ "d" ] }, { "id": "task1678-e8ece01fcd1b487d902abcfbc56d826b", "input": "Problem: a card board of size 34 * 14 has to be attached to a wooden box and a total of 35 pins are to be used on the each side of the card box. find the total number of pins used.\nOptions: a. 135, b. 136, c. 137, d. 138, e. 139", "output": [ "b" ] }, { "id": "task1678-ea104f2dca2c4f469cb11ba61ba8b3de", "input": "Problem: a cistern can be filled by a tap in 2 hours while it can be emptied by another tap in 4 hours. if both the taps are opened simultaneously then after how much time will the cistern get filled ?\nOptions: a. 2 hr, b. 5 hr, c. 7 hr, d. 1 hr, e. 4 hr", "output": [ "e" ] }, { "id": "task1678-b304f42880604f328493254746952852", "input": "Problem: evaluate combination 98 c 96 = 98 ! / ( 96 ) ! ( 2 ) !\nOptions: a. 1617, b. 4753, c. 1417, d. 4353, e. none of these", "output": [ "b" ] }, { "id": "task1678-adda694fd959445e9960eb3a47493417", "input": "Problem: a ranch has both horses and ponies. exactly 3 / 10 of the ponies have horseshoes, and exactly 5 / 8 of the ponies with horseshoes are from iceland. if there are 4 more horses than ponies, what is the minimum possible combined number of horses and ponies on the ranch ?\nOptions: a. 116, b. 132, c. 148, d. 164, e. 180", "output": [ "d" ] }, { "id": "task1678-9a58955d715e4c2699e9b5e6fde58da0", "input": "Problem: there are 5 chess amateurs playing in villa ' s chess club tournament. if each chess amateur plays with exactly 8 other amateurs, what is the total number of chess games possible to be played in the tournament ?\nOptions: a. 10, b. 20, c. 40, d. 60, e. 120", "output": [ "b" ] }, { "id": "task1678-a75acaeffba64a8e82663f2bf99f0969", "input": "Problem: the speed of a train is 90 kmph. what is the distance covered by it in 12 minutes ?\nOptions: a. 15, b. 18, c. 77, d. 52, e. 42", "output": [ "b" ] }, { "id": "task1678-72d03240e9af46cb8f61a00c61f52975", "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": "task1678-a6e63fe316774687964584b86a1df356", "input": "Problem: 11 is subtracted from 40 % of a number and results is 23. what is the number ?\nOptions: a. 160, b. 92, c. 88, d. 85, e. 34", "output": [ "d" ] }, { "id": "task1678-e32ce6143049440f8644e9e4a3120509", "input": "Problem: 0.1 + 0.1 ^ 2 + 0.1 ^ 3 =\nOptions: a. 0.1, b. 0.111, c. 0.1221, d. 0.2341, e. 0.3", "output": [ "b" ] }, { "id": "task1678-527510b8c16f42629a1464958044efd4", "input": "Problem: an article is bought for rs. 675 and sold for rs. 900, find the gain percent ?\nOptions: a. 33 1 / 8 %, b. 33 9 / 3 %, c. 33 1 / 3 %, d. 93 1 / 3 %, e. 33 2 / 3 %", "output": [ "c" ] }, { "id": "task1678-4b438ef12c6f4200b867939a3d5d087e", "input": "Problem: in a garment industry, 12 men working 8 hours per day complete a piece of work in 10 days. to complete the same work in 8 days, working 15 hours a day, the number of men required is :\nOptions: a. 4, b. 5, c. 6, d. 8, e. 9", "output": [ "d" ] }, { "id": "task1678-e31a6178ebb34ee48877a6cdc48657fd", "input": "Problem: what is the maximum number of pieces of birthday cake of size 4 ” by 4 ” that can be cut from a cake 20 ” by 20 ” ?\nOptions: a. 5, b. 10, c. 16, d. 20, e. 25", "output": [ "e" ] }, { "id": "task1678-b3dc47e0005045a7aa9b49be88c64075", "input": "Problem: the present worth of rs. 845 due in 2 years at 4 % per annum compound interest is\nOptions: a. rs. 150.50, b. rs. 154.75, c. rs. 781.25, d. rs. 158, e. none", "output": [ "c" ] }, { "id": "task1678-01e8eee7886c4e82882ec38e94ef6f8e", "input": "Problem: on the first of the year, james invested x dollars at proudstar bank in an account that yields 4 % in interest every quarter year. at the end of the year, during which he made no additional deposits or withdrawals, he had y dollars in the account. if james had invested the same amount in an account which pays interest on a yearly basis, what must the interest rate be for james to have y dollars at the end of the year ?\nOptions: a. 22.04 %, b. 26.12 %, c. 28 %, d. 16.25 %, e. 30 %", "output": [ "d" ] }, { "id": "task1678-f513e62efe994688b5512534e4d0b4db", "input": "Problem: if a store owner increases a product ’ s price by 20 percent and then increases this price by another 15 percent, what percent of the original price is the total price increase ?\nOptions: a. 20 %, b. 35 %, c. 38 %, d. 65 %, e. 135 %", "output": [ "c" ] }, { "id": "task1678-6688e11b08d34a4fa71f86e5691da773", "input": "Problem: if 5 students are made to sit in a row, then 6 do n ' t have seats. if 12 students are made to sit in a row, then 3 rows are empty. how many students have to sit a row such that each row has equal number of students and all students are seated ?\nOptions: a. 0, b. 1, c. 4, d. 5, e. 6", "output": [ "e" ] }, { "id": "task1678-0f59b58ca1e246649c0b97bff77afd79", "input": "Problem: a pupil ' s marks were wrongly entered as 85 instead of 33. due to that the average marks for the class got increased by half. the number of pupils in the class is :\nOptions: a. 30, b. 104, c. 20, d. 25, e. 26", "output": [ "b" ] }, { "id": "task1678-a488131786924a118b040103e5d509b3", "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": "task1678-d667af47d8e447cb9c9565505eaa43e0", "input": "Problem: a person travels equal distances with speeds of 3 km / hr, 4 km / hr and 5 km / hr and takes a total time of 54 minutes. the total distance is ?\nOptions: a. 1 km, b. 2 km, c. 3 km, d. 3.4 km, e. 5 km", "output": [ "d" ] }, { "id": "task1678-7ca717794bf942aa87506733e773dd02", "input": "Problem: jim is able to sell a hand - carved statue for $ 620 which was a 25 % profit over his cost. how much did the statue originally cost him ?\nOptions: a. $ 496.00, b. $ 512.40, c. $ 555.40, d. $ 574.90, e. $ 588.20", "output": [ "a" ] }, { "id": "task1678-eef14877c7e94aed8e8781b039540187", "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": "task1678-fffd166486a24eabb828c7ca90bce5c2", "input": "Problem: find the greatest number that will divide 48, 210 and 136 leaving 4, 12 and 4 as remainders respectively\nOptions: a. 19, b. 17, c. 13, d. 22, e. 21", "output": [ "d" ] }, { "id": "task1678-3320171d2c284463a388d73d023dfe72", "input": "Problem: a student has to obtain 33 % of the total marks to pass. he got 125 marks and failed by 40 marks. the maximum marks are ?\nOptions: a. 450, b. 300, c. 500, d. 610, e. 175", "output": [ "c" ] }, { "id": "task1678-902a538f8fd146a38dd9037a77f3738c", "input": "Problem: the telephone company wants to add an area code composed of 2 letters to every phone number. in order to do so, the company chose a special sign language containing 524 different signs. if the company used 522 of the signs fully and two remained unused, how many additional area codes can be created if the company uses all 524 signs ?\nOptions: a. 46, b. 248, c. 2092, d. 15,128, e. 30,256", "output": [ "c" ] }, { "id": "task1678-e87db163527e41939909df405f62cf7e", "input": "Problem: a case contains c cartons. each carton contains b boxes, and each box contains 200 paper clips. how many paper clips are contained in 2 cases ?\nOptions: a. 200 bc, b. 200 b / c, c. 400 bc, d. 400 b / c, e. 400 / bc", "output": [ "c" ] }, { "id": "task1678-de6d303004914d6d84dacda70489d531", "input": "Problem: what is the value of x ^ 2 yz − xyz ^ 2, if x = − 2, y = 1, and z = 1 ?\nOptions: a. 6, b. 24, c. 30, d. 32, e. 48", "output": [ "a" ] }, { "id": "task1678-09c59f56b06c4ab7bd52d24773d9605a", "input": "Problem: 2.205 divided by 0.3 gives\nOptions: a. 7.35, b. 6.25, c. 8.15, d. 6.95, e. none of these", "output": [ "a" ] }, { "id": "task1678-36c9c58a9ada46abb5e8cf02b47a314f", "input": "Problem: having received his weekly allowance, john spent 3 / 5 of his allowance at the arcade. the next day he spent one third of his remaining allowance at the toy store, and then spent his last $ 0.88 at the candy store. what is john ’ s weekly allowance ?\nOptions: a. $ 2.70, b. $ 3.00, c. $ 3.30, d. $ 3.60, e. $ 3.90", "output": [ "c" ] }, { "id": "task1678-427f1f47839e4295a6c055cd8ea28769", "input": "Problem: a doctor prescribed 18 cubic centimeters of a certain drug to a patient whose body weight was 120 pounds. if the typical dosage is 4 cubic centimeters per 15 pounds of the body weight, by what percent was the prescribed dosage lesser than the typical dosage ?\nOptions: a. 8 %, b. 9 %, c. 11 %, d. 12.5 %, e. - 87.5 %", "output": [ "e" ] }, { "id": "task1678-0fc2d57dbd6547f083d50ae77045aa3b", "input": "Problem: calculate how much time could be saved if the train would run at its usual speed, given that it ran at 2 / 3 of its own speed and got to its destination in 20 hours ?\nOptions: a. 5.67 hrs, b. 9.67 hrs, c. 8.95 hrs, d. 8.67 hrs, e. 6.67 hrs", "output": [ "d" ] }, { "id": "task1678-5d15baac2565450493269c3f3363f4df", "input": "Problem: exactly 3 / 7 of the people in the room are under the age of 21, and exactly 5 / 10 of the people in the room are over the age of 65. if the total number of the people in the room is greater than 50 and less than 100, how many people in the room are under the age of 21 ?\nOptions: a. 21, b. 35, c. 39, d. 30, e. 65", "output": [ "d" ] }, { "id": "task1678-7c53881208104a359d61db77893ca18a", "input": "Problem: a 5 - digit number is formed by the digits 2, 45, 68 ( each digit used exactly once.. what is the probability that the number formed is divisible by 4 ?\nOptions: a. 2 / 5, b. 3 / 5, c. 4 / 5, d. 6 / 5, e. 7 / 5", "output": [ "a" ] }, { "id": "task1678-0442eb5fa3e547a0a71092dbfa9e4082", "input": "Problem: if x is 20 percent more than y and y is 60 percent less than z, then x is what percent of z ?\nOptions: a. 500 %, b. 48 %, c. 500 / 3 %, d. 125 %, e. 60 %", "output": [ "b" ] }, { "id": "task1678-c36118d1415f48d3ac9fe65667d64426", "input": "Problem: the area of one square is x ^ 2 + 4 x + 4 and the area of another square is 4 x ^ 2 − 12 x + 9. if the sum of the perimeters of both squares is 32, what is the value of x ?\nOptions: a. 0, b. 2, c. 2.5, d. 4.67, e. 3", "output": [ "e" ] }, { "id": "task1678-2bb2ef5e4480479595cf2767257ea73d", "input": "Problem: from mumbai railway station, two trains a and b start simultaneously from stations 400 miles apart, and travel the same route toward each other on adjacent parallel tracks. if train a and train b travel at a constant rate of 40 miles per hour and 40 miles per hour, respectively, how many miles will train a have traveled when the trains pass each other, to the nearest mile ?\nOptions: a. 112, b. 133, c. 150, d. 167, e. 180", "output": [ "e" ] }, { "id": "task1678-645410207c644d9a899ecc0b043df70d", "input": "Problem: a batsman scored 80 runs which included 2 boundaries and 2 sixes. what percent of his total score did he make by running between the wickets ?\nOptions: a. 45 %, b. 500 / 11, c. 75 %, d. 55 %, e. 35 %", "output": [ "c" ] }, { "id": "task1678-d9298bc1cd9540f9837dc306838697f6", "input": "Problem: a certain car can travel 20 minutes on a gallon of gasoline at 60 miles per hour. if the car had started with a full tank and had 8 gallons of gasoline left in its tank at the end, then what percent of the tank was used to travel 80 miles at 60 mph ?\nOptions: a. 16.67 %, b. 20 %, c. 25 %, d. 30 %, e. 40 %", "output": [ "a" ] }, { "id": "task1678-cce65f2a50994d5fae36e8faa7a8a6d0", "input": "Problem: there is a church tower 150 feet tall and another catholic tower at a distance of 350 feet from it which is 200 feet tall. there is one each bird sitting on top of both the towers. they fly at a constant speed and time to reach a grain in b / w the towers at the same time. at what distance from the church is the grain ?\nOptions: a. 170 meters, b. 160 meters, c. 150 meters, d. 140 meters, e. 130 meters", "output": [ "c" ] }, { "id": "task1678-b88b6d99fdb94f88886b3b97575922aa", "input": "Problem: for 1 rs 4 p interest wat will be for 5000 rs ?\nOptions: a. 350 rs, b. 450 rs, c. 200 rs, d. 30 rs, e. 448 rs", "output": [ "c" ] }, { "id": "task1678-87e365b4fb3740888752a8027ab8f6f2", "input": "Problem: a train running at the speed of 60 km / hr crosses a pole in 15 seconds. find the length of the train.\nOptions: a. 150 m, b. 145 m, c. 240 m, d. 135 m, e. 250 m", "output": [ "e" ] }, { "id": "task1678-779663483839499aad784f6b3aee85b4", "input": "Problem: a sum was put at simple interest at a certain rate for 10 years. had it been put at 5 % higher rate, it would have fetched rs. 600 more. what was the sum ?\nOptions: a. rs. 1200, b. rs. 1300, c. rs. 1400, d. rs. 1500, e. none of these", "output": [ "a" ] }, { "id": "task1678-dce742e5d8b04e12ab6b37e48b13c6ef", "input": "Problem: a shop owner sells 60 mtr of cloth and gains sp of 10 mtrs. find the gain % ?\nOptions: a. 20 %, b. 40 %, c. 50 %, d. 60 %, e. 70 %", "output": [ "a" ] }, { "id": "task1678-e5ad54a8d97a4c52a6c1012a1f7d47bd", "input": "Problem: a no. when divided by 221 gives a remainder 43, what remainder will beobtained by dividingthe same no. 17 ?\nOptions: a. 3, b. 6, c. 9, d. 10, e. 12", "output": [ "c" ] }, { "id": "task1678-e40be5b526eb4e14bc367d52dc4179fa", "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": "task1678-670818aafd0d403db474e15371749fbf", "input": "Problem: albert invested rs. 6500 in a scheme for 2 years at compound interest rate 6.5 % p. a. how much amount will albert get on maturity of the fixed deposit ?\nOptions: a. s. 8829, b. s. 7200, c. s. 7200.5, d. s. 4000, e. s. 7372.46", "output": [ "e" ] }, { "id": "task1678-155000802579405ab9434de2d0fd196b", "input": "Problem: keats library purchases a number of new books, all in the category of biography, and the library does not acquire any other books. with the addition of the new biographies, the biography collection of the library amounts to 30 % of the total number of books in the library. if prior to the purchase, only 20 % of the books in keats library were biographies, by what percent has the number of biographies in the library increased ?\nOptions: a. 47 %, b. 59 %, c. 71 %, d. 83 %, e. 95 %", "output": [ "c" ] }, { "id": "task1678-e7481b734bcc489ba5c22211234c1ef4", "input": "Problem: if the average ( arithmetic mean ) of the 4 numbers 3, 16, 33, and ( n + 1 ) is 20, then n =\nOptions: a. 19, b. 20, c. 21, d. 27, e. 29", "output": [ "d" ] }, { "id": "task1678-cddaddee2935472db5c2756ab14e3cc8", "input": "Problem: the mean of 50 observations is 200. but later he found that there is decrements of 6 from each observations. what is the the updated mean is ?\nOptions: a. 165, b. 185, c. 190, d. 198, e. 194", "output": [ "e" ] }, { "id": "task1678-c3a4140656194f0dbe96a71be58b6e12", "input": "Problem: country c imposes a two - tiered tax on imported cars: the first tier imposes a tax of 12 % of the car ' s price up to a certain price level. if the car ' s price is higher than the first tier ' s level, the tax on the portion of the price that exceeds this value is 8 %. if ron imported a $ 14,000 imported car and ended up paying $ 1440 in taxes, what is the first tier ' s price level ?\nOptions: a. $ 1600, b. $ 6000, c. $ 6050, d. $ 7050, e. $ 8000", "output": [ "e" ] }, { "id": "task1678-c3c45307da6143f18887785ddfe8f9ee", "input": "Problem: a sum fetched a total simple interest of rs. 144 at the rate of 15 p. c. p. a. in 1 year 6 months. what is the sum ?\nOptions: a. 490, b. 850, c. 580, d. 640, e. 760", "output": [ "d" ] }, { "id": "task1678-9b0aff44fdf644c8b75193ef3c64ca39", "input": "Problem: the ` ` racing magic ' ' takes 120 seconds to circle the racing track once. the ` ` charging bull ' ' makes 40 rounds of the track in an hour. if they left the starting point together, how many minutes will it take for them to meet at the starting point for the second time ?\nOptions: a. 3, b. 6, c. 9, d. 12, e. 15", "output": [ "d" ] }, { "id": "task1678-442f50c4b31c4062a0687a0a1e581f26", "input": "Problem: find the constant k so that: - x 2 - ( k + 10 ) x - 8 = - ( x - 2 ) ( x - 4 )\nOptions: a. 11, b. 12, c. 16, d. 14, e. 15", "output": [ "c" ] }, { "id": "task1678-16d8c1adf02c442e808b1180ec64c577", "input": "Problem: 102 ã — 102 + 98 ã — 98 = ?\nOptions: a. 20018, b. 20028, c. 20108, d. 10008, e. 20008", "output": [ "e" ] }, { "id": "task1678-a261b718c9bb497b93547b623ffffc6c", "input": "Problem: two trains 140 m and 190 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks. the time which they take to cross each other is ?\nOptions: a. 11.88 sec, b. 13.8 sec, c. 53.8 sec, d. 10.8 sec, e. 10.4 sec", "output": [ "a" ] }, { "id": "task1678-2890e8de2af34d8cba33fe0bc6713524", "input": "Problem: mary works in a restaurant a maximum of 70 hours. for the first 20 hours, she is paid $ 8 per hour. for each overtime hour, she is paid at a rate which is 25 % higher than her regular rate. how much mary can earn in a week ?\nOptions: a. 600, b. 620, c. 660, d. 320, e. 400", "output": [ "c" ] }, { "id": "task1678-782c363f5019447ca9170a2ae3c5ae9f", "input": "Problem: the area of a circular field is 17.56 hectares. find the cost of fencing it at the rate of rs. 4 per metre approximately\nOptions: a. 4457, b. 4567, c. 5943, d. 4547, e. 4675", "output": [ "c" ] }, { "id": "task1678-de402a0ddf94475885614cc2dea5f5c5", "input": "Problem: 49 × 49 × 49 × 49 = 7 ?\nOptions: a. 4, b. 7, c. 8, d. 16, e. none of these", "output": [ "c" ] }, { "id": "task1678-34a8207b19854270ba45030293b34fb8", "input": "Problem: 30 pens and 75 pencils were purchased for 750. if the average price of a pencil was 2.00, find the average price of a pen.\nOptions: a. 20, b. 11, c. 12, d. 13, e. 14", "output": [ "a" ] }, { "id": "task1678-1bba31e2d8254d13a63ad2c36ae957f9", "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": "task1678-3214fba4c851416ba8f750cb6fe87139", "input": "Problem: to fill a tank, 25 buckets of water is required. how many buckets of water will be required to fill the same tank if the capacity of bucket is reduced to two - fifth of its present ?\nOptions: a. 52.5, b. 62.5, c. 72.5, d. 82.5, e. 81.5", "output": [ "b" ] }, { "id": "task1678-217f7e5a299645fc91223f870421c63c", "input": "Problem: the visitors of a modern art museum who watched a certain picasso painting were asked to fill in a short questionnaire indicating whether they had enjoyed looking at the picture and whether they felt they had understood it. according to the results of the survey, all 110 visitors who did not enjoy the painting also did not feel they had understood the painting, and the number of visitors who enjoyed the painting was equal to the number of visitors who felt they had understood the painting. if 3 / 4 of the visitors who answered the questionnaire both enjoyed the painting and felt they had understood the painting, then how many visitors answered the questionnaire ?\nOptions: a. 90, b. 120, c. 160, d. 360, e. 440", "output": [ "e" ] }, { "id": "task1678-ff16813752af4cb29fb542d27e60f96d", "input": "Problem: a rectangular lawn of length 200 m by 120 m has two roads running along its center, one along the length and the other along the width. if the width of the roads is 5 m what is the area r covered by the two roads ?\nOptions: a. 400, b. 1550, c. 1575, d. 1600, e. 1625", "output": [ "c" ] }, { "id": "task1678-8e74d64da3bc4893a40c364b601de7c5", "input": "Problem: a and b can together finish a work in 40 days. they worked together for 10 days and then b left. after another 21 days, a finished the remaining work. in how many days a alone can finish the job ?\nOptions: a. 10, b. 25, c. 60, d. 30, e. 28", "output": [ "e" ] }, { "id": "task1678-79983354a56843edb3f9aac9bb26df42", "input": "Problem: how many integers are between 6 and 74 / 5, inclusive ?\nOptions: a. 4, b. 5, c. 6, d. 7, e. 9", "output": [ "e" ] }, { "id": "task1678-d294afa7f5474246bdda69a55bd104b8", "input": "Problem: what is the smallest positive integer x such that 180 - x is the cube of a positive integer\nOptions: a. 50, b. 52, c. 60, d. 55, e. 12", "output": [ "d" ] }, { "id": "task1678-5d7dda7b4c1b4a909c38ea2fcc8f8d50", "input": "Problem: what will be the cost of building to paint which area equal to 196 sq ft, if the price per foot of building is rs. 15 ?\nOptions: ['a. 120', 'b. 240', 'c. 360', 'd. 380', 'e. 840']", "output": [ "e" ] }, { "id": "task1678-bf8e7bbc574b473cb7eaf2928382323d", "input": "Problem: in the youth summer village there are 175 people, 100 of them are not working, 75 of them have families and 125 of them like to sing in the shower. what is the largest possible number of people in the village, which are working, that do n ' t have families and that are singing in the shower ?\nOptions: a. 70, b. 75, c. 85, d. 80, e. 100", "output": [ "b" ] }, { "id": "task1678-50d0768c6b9242d6943828c27717b8c0", "input": "Problem: if it takes a tub 3 minutes to drain 6 / 7 of its content, how much more time will it take for the tub to be empty ?\nOptions: a. 30 seconds, b. 1 minute, 12 seconds, c. 1 minute, 50 seconds, d. 2 minutes, 14 seconds, e. 4 minutes, 12 seconds", "output": [ "a" ] }, { "id": "task1678-ba6ab45a2bee40819c9dc0066880418b", "input": "Problem: exactly 3 sides of a certain 10 - sided die are red. what is the probability that kumar rolls the die 3 times and the die lands with a red side up for the first time on the third roll ?\nOptions: a. 0.184, b. 0.16, c. 0.18, d. 0.147, e. 0.148", "output": [ "d" ] }, { "id": "task1678-b1e47afd788e4d32b6f18756b3329775", "input": "Problem: the average runs scored by a batsman in 25 matches is 45. in the next 7 matches the batsman scored an average of 15 runs. find his average in all the 32 matches ?\nOptions: a. 31355, b. 38.44, c. 29.55, d. 97.66, e. 45.66", "output": [ "b" ] }, { "id": "task1678-b6d44175fca74157938e4305d72006bf", "input": "Problem: carl is facing very difficult financial times and can only pay the interest on a $ 10,000 loan he has taken. the bank charges him a quarterly compound rate of 4 %. what is the approximate interest he pays annually ?\nOptions: a. $ 1750, b. $ 2000, c. $ 2150, d. $ 2500, e. $ 12000", "output": [ "a" ] }, { "id": "task1678-1ee4fc6b23f74fcd91f4d8242af28dd8", "input": "Problem: jack and jill work at a hospital with 7 other workers. for an internal review, 2 of the 9 workers will be randomly chosen to be interviewed. what is the probability that jack and jill will both be chosen ?\nOptions: a. 1 / 3, b. 1 / 4, c. 1 / 15, d. 3 / 8, e. 1 / 36", "output": [ "e" ] }, { "id": "task1678-3b524b97817949a48cb5091ddf46736b", "input": "Problem: a student has to obtain 50 % of the total marks to pass. he got 200 marks and failed by 20 marks. the maximum marks are ?\nOptions: a. 510, b. 520, c. 530, d. 540, e. 440", "output": [ "e" ] }, { "id": "task1678-8a23e1a4f79e4a92bfe1dd24ce90bf75", "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": "task1678-ec3873d75b104e6ca26041a45158a46c", "input": "Problem: car dealership x, the total profit from sales increased by 8 percent over the previous years, while the number of cars sold decreased by 8 percent over the previous years. approximately what was the average percent increase in profit per car over the previous year.\nOptions: a. 17.39 %, b. 20 %, c. 22 %, d. 23 %, e. 25 %", "output": [ "a" ] }, { "id": "task1678-92f64fdca0d5464db46d9758994f337a", "input": "Problem: the product z of two prime numbers is between 16 and 40. if one of the prime numbers is greater than 2 but less than 6 and the other is greater than 12 but less than 30 then what is z ?\nOptions: a. 21, b. 22, c. 28, d. 35, e. 39", "output": [ "e" ] }, { "id": "task1678-10bc191fd4864801a1539903f99a4d77", "input": "Problem: if 4 people are selected from a group of 8 married couples, what is the probability that none of them would be married to each other ?\nOptions: a. 1 / 33, b. 2 / 33, c. 8 / 13, d. 16 / 33, e. 11 / 12", "output": [ "c" ] }, { "id": "task1678-ddc2397e841f4b11b58ebb485a8c6d78", "input": "Problem: the tax on a commodity is diminished by 20 % but its consumption is increased by 10 %. find the decrease percent in the revenue derived from it ?\nOptions: a. 20 %, b. 19 %, c. 15 %, d. 12 %, e. 24 %", "output": [ "d" ] }, { "id": "task1678-ff65857c409842ca8dfa307d25748988", "input": "Problem: a store sells chairs and tables. if the price of 2 chairs and 1 table is 60 % of the price of 1 chair and 2 tables, and the price of 1 table and 1 chair is $ 72, what is the price, in dollars, of 1 table ? ( assume that every chair has the same price and every table has the same price. )\nOptions: a. 55, b. 84, c. 63, d. 75, e. 70", "output": [ "c" ] }, { "id": "task1678-d3d464364a804086b837dc07dd91e7c8", "input": "Problem: a small pool filled only with water will require an additional 300 gallons of water in order to be filled to 80 % of its capacity. if pumping in these additional 300 gallons of water will increase the amount of water in the pool by 25 %, what is the total capacity of the pool in gallons ?\nOptions: a. 1875, b. 1250, c. 1300, d. 1600, e. 1625", "output": [ "a" ] }, { "id": "task1678-5e15ddde0e1c4111bac8f33a2e662f24", "input": "Problem: at 3: 40, the hour hand and the minute hand of a clock form an angle of\nOptions: a. 160 °, b. 180 °, c. 130 °, d. 110 °, e. 150 °", "output": [ "c" ] }, { "id": "task1678-1f4a63afe29643c9b91f92d3861e49cf", "input": "Problem: heinz produces tomato puree by boiling tomato juice. the tomato puree has only 20 % water while the tomato juice has 90 % water. how many liters of tomato puree will be obtained from 20 litres of tomato juice ?\nOptions: a. 2.8 liters., b. 2.5 liters., c. 8.5 liters., d. 2.6 liters., e. 2.1 liters.", "output": [ "b" ] }, { "id": "task1678-b2633da87c134203b9006c75365c4f78", "input": "Problem: if 2 ^ 5, 3 ^ 3, and 14 ^ 2 are all factors of the product of 936 and w where w is a positive integer, what is the smallest possible value of w ?\nOptions: a. 26, b. 39, c. 42, d. 65, e. 168", "output": [ "e" ] }, { "id": "task1678-b6494419a8184912b9801ed2d2ccd757", "input": "Problem: a and b can finish a work in 10 days while b and c can do it in 18 days. a started the work, worked for 5 days, then b worked for 10 days and the remaining work was finished by c in 15 days. in how many days could c alone have finished the whole work ?\nOptions: a. 30 days, b. 15 days, c. 45 days, d. 24 days, e. none of these", "output": [ "c" ] }, { "id": "task1678-2b0aa3835c804186b3ff15a0bf7b2942", "input": "Problem: a boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it take 4 hours to cover the same distance running downstream. what is the ratio between the speed of the boat and speed of the water current respectively ?\nOptions: a. 1: 3, b. 3: 8, c. 6: 3, d. 8: 3, e. none", "output": [ "d" ] }, { "id": "task1678-4ff3f4b78c5b432a9c1984ec3de93ebd", "input": "Problem: if 2 ^ x + 2 ^ y = 10 ^ 0 + 90 ^ 0, where x and y are non negative integers, what is the greatest possible value of | x â € “ y | ?\nOptions: a. 0, b. 1, c. 2, d. 3, e. 4", "output": [ "a" ] }, { "id": "task1678-cd3ef612482341278b46cb13c75f5ce4", "input": "Problem: a certain bus driver is paid a regular rate of $ 16 per hour for any number of hours that does not exceed 40 hours per week. for any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75 % higher than his regular rate. if last week the bus driver earned $ 1032 in total compensation, how many total hours did he work that week ?\nOptions: a. 36, b. 40, c. 44, d. 48, e. 54", "output": [ "e" ] }, { "id": "task1678-f294e5de816f46a9bbf3d24d091b96e1", "input": "Problem: find the length of the wire required to go 15 times round a square field containing 69696 m 2 ?\nOptions: a. 15840, b. 19879, c. 27997, d. 15842, e. 15823", "output": [ "a" ] }, { "id": "task1678-4620846e246d4955a34ff85d01899e81", "input": "Problem: p, q and r have rs. 7000 among themselves. r has two - thirds of the total amount with p and q. find the amount with r ?\nOptions: a. rs. 3000, b. rs. 3600, c. rs. 2400, d. rs. 2800, e. none of these", "output": [ "d" ] }, { "id": "task1678-edc3a7d88a33486d8c57b2821bc7f3d4", "input": "Problem: rahul put his timepiece on the table in such a way that at 6 p. m. hour hand points to north. in which direction the minute hand will point at 9.15 p. m. ?\nOptions: a. 233, b. 37, c. 27, d. west, e. 271", "output": [ "d" ] }, { "id": "task1678-b77d840e766d49aaa1858e4dd3381c44", "input": "Problem: in the first 10 overs of a cricket game, the run rate was only 3.2. what should be the run rate in the remaining 40 overs to reach a target of 282 runs ?\nOptions: a. 6.25, b. 6.5, c. 6.75, d. 7.0, e. none of the above", "output": [ "a" ] }, { "id": "task1678-4c82dcbc2cd34c7e98b3bde6bdba8976", "input": "Problem: a and b together can complete a piece of work in 10 days. if a alone can complete the same work in 15 days, in how many days, in how many days can b alone complete that work ?\nOptions: a. 10, b. 30, c. 25, d. 15, e. 45", "output": [ "b" ] }, { "id": "task1678-6c1d99f4c596420ca27dc7390f87265d", "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": "task1678-942b06becf6a40a988b38326e31dfe18", "input": "Problem: how many liters of a 40 % iodine solution need to be mixed with 35 liters of a 20 % iodine solution to create a 32 % iodine solution ?\nOptions: a. 35, b. 49, c. 100, d. 102, e. 140", "output": [ "d" ] }, { "id": "task1678-1e7e18077d78488a97fd7120d80bc2b8", "input": "Problem: a garrison of 2000 men has provisions for 54 days. at the end of 18 days, a reinforcement arrives, and it is now found that the provisions will last only for 20 days more. what is the reinforcement ?\nOptions: a. 1977, b. 1600, c. 1979, d. 1900, e. 1278", "output": [ "b" ] }, { "id": "task1678-38197c09083c41cbb1e21d44c37a07b1", "input": "Problem: the average weight of 8 person ' s increases by 2.5 kg when a new person comes in place of one of them weighing 75 kg. what might be the weight of the new person ?\nOptions: a. 95 kg, b. 90 kg, c. 85 kg, d. data inadequate, e. none of these", "output": [ "a" ] }, { "id": "task1678-1b708a68146c48cdb4df10a8e32d65e2", "input": "Problem: when a merchant imported a certain item, she paid a 7 percent import tax on the portion of the total value of the item in excess of $ 1,000. if the amount of the import tax that the merchant paid was $ 109.20, what was the total value of the item ?\nOptions: a. $ 1,600, b. $ 1,850, c. $ 2,250, d. $ 2,440, e. $ 2,560", "output": [ "e" ] }, { "id": "task1678-da2755d2b6c64ff8aa68258bd8e5a0d8", "input": "Problem: the “ length of integer x ” refers to the number of prime factors, not necessarily distinct, that x has. ( if x = 60, the length of x would be 4 because 60 = 2 × 2 × 3 × 5. ) what is the greatest possible length of integer z if z < 1,080 ?\nOptions: a. 13, b. 10, c. 9, d. 7, e. 6", "output": [ "b" ] }, { "id": "task1678-e5d0bbc4ce6949a9b10924022d0d714d", "input": "Problem: how many multiples of 3 are less than 6500, and also multiples of 7 ?\nOptions: a. 104, b. 208, c. 310, d. 340, e. 454", "output": [ "c" ] }, { "id": "task1678-e54814b94a8949d58a36ceebaf86aed6", "input": "Problem: a can finish a piece of work in 4 days. b can do it in 10 days. they work together for two days and then a goes away. in how many days will b finish the work ?\nOptions: a. 3, b. 5, c. 6, d. 7, e. 8", "output": [ "a" ] }, { "id": "task1678-89d45cdfb3604d47887e611d1ea1ec26", "input": "Problem: if the sides of a triangle are 26 cm, 24 cm and 15 cm, what is its area ?\nOptions: a. 120, b. 772, c. 180, d. 266, e. 2848", "output": [ "c" ] }, { "id": "task1678-8fd9013a61c84c5191e8dd052ac41f3f", "input": "Problem: two trains, a and b, started simultaneously from opposite ends of a 125 - mile route and traveled toward each other on parallel tracks. train a, traveling at a constant rate, completed the 125 - mile trip in 12 hours; train b, traveling at a constant rate, completed the 125 - mile trip in 8 hours. how many miles had train a traveled when it met train b ?\nOptions: a. 25, b. 37.5, c. 40, d. 45.5, e. 50", "output": [ "e" ] }, { "id": "task1678-3cbaf15c8305432d8e35343f7590f95a", "input": "Problem: if the simple interest on a certain amount in at 4 % rate 5 years amounted to rs. 2400 less than the principal. what was the principal ?\nOptions: a. 1500, b. 2500, c. 2507, d. 3000, e. 11500", "output": [ "d" ] }, { "id": "task1678-e468430808984a71ae47acf6427f93f5", "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": "task1678-9128d6fb1e2d449c854984770a34ef75", "input": "Problem: what is the area a of the square with the following coordinates: ( x, y ), ( 20, 20 ), ( 20, 5 ), ( x, 5 ) ?\nOptions: ['a. 60.', 'b. 85.', 'c. 125.', 'd. 225.', 'e. it can not be determined from the information given']", "output": [ "d" ] }, { "id": "task1678-8daf2914584d4459825d2fce41e74ec9", "input": "Problem: a van takes 5 hours to cover a distance of 495 km. what speed in kph should the van maintain to cover the same distance in 3 / 2 of the previous time ?\nOptions: a. 60, b. 63, c. 66, d. 69, e. 72", "output": [ "c" ] }, { "id": "task1678-9fefe56ea3014b5caf723b31061d7d45", "input": "Problem: what is the probability of getting a queen or spade from a set of cards ?\nOptions: a. 3 / 13, b. 4 / 13, c. 5 / 13, d. 6 / 13, e. 7 / 13", "output": [ "b" ] }, { "id": "task1678-2a4acc1362d14bf98ee9148bde6fbdad", "input": "Problem: find the compound interest on $ 1000 in 2 years at 4 % per annum, the interest being compounded half - yearly ?\nOptions: a. $ 645.56, b. $ 82.43, c. $ 954.26, d. $ 745.69, e. $ 1020.45", "output": [ "b" ] }, { "id": "task1678-a58ed71aaa954ead8f533d2b20524a1a", "input": "Problem: if n is a positive integer and n ^ 2 is divisible by 36, then the largest positive integer that must divide n is\nOptions: a. 6, b. 12, c. 24, d. 36, e. 48", "output": [ "a" ] }, { "id": "task1678-88748c23efd24603a3ce909c143b7df5", "input": "Problem: the population of a town is 8000. it decreases annually at the rate of 10 % p. a. what was its population 2 years ago ?\nOptions: a. 9876, b. 8000, c. 8500, d. 9500, e. 10000", "output": [ "a" ] }, { "id": "task1678-ef33675b1b024b15a8eb1e1e3110f31d", "input": "Problem: sum of two numbers is 40 and their difference is 4. the ratio of the numbers is\nOptions: a. 10: 3, b. 5: 9, c. 11: 9, d. 13: 9, e. none of these", "output": [ "c" ] }, { "id": "task1678-4d0def7a5e754ca18752515ce6332aa0", "input": "Problem: a man sitting in a train which is traveling at 36 kmph observes that a goods train, traveling in opposite direction, takes 10 seconds to pass him. if the goods train is 240 m long, find its speed\nOptions: a. 50 kmph, b. 56 kmph, c. 58 kmph, d. 62 kmph, e. 72 kmph", "output": [ "a" ] }, { "id": "task1678-7ca7f64565ce490081a3c3026910f96d", "input": "Problem: a train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 15 seconds. what is the length of the platform in meters ?\nOptions: a. 240 meters, b. 360 meters, c. 300 meters, d. 600 meters, e. can not be determined", "output": [ "c" ] }, { "id": "task1678-31f1ddec72a84898a36db8a2c0cae76e", "input": "Problem: brenda and sally run in opposite direction on a circular track, starting at diametrically opposite points. they first meet after brenda has run 50 meters. they next meet after sally has run 150 meters past their first meeting point. each girl runs at a constant speed. what is the length of the track in meters ?\nOptions: a. 250, b. 300, c. 350, d. 400, e. 500", "output": [ "a" ] }, { "id": "task1678-f6effcb1357a4553aa572c56185994f6", "input": "Problem: a man buys a cycle for rs. 1900 and sells it at a loss of 18 %. what is the selling price of the cycle ?\nOptions: a. s. 1590, b. s. 1560, c. s. 1558, d. s. 1252, e. s. 1062", "output": [ "c" ] }, { "id": "task1678-86280ee2d43f4e2aae174f0788e1252e", "input": "Problem: at the end of the day, february 14 th, a florist had 120 roses left in his shop, all of which were red, white or pink in color and either long or short - stemmed. a third of the roses were short - stemmed, 20 of which were white and 10 of which were pink. the percentage of pink roses that were short - stemmed equaled the percentage of red roses that were short - stemmed. if none of the long - stemmed roses were white, what percentage of the long - stemmed roses were red ?\nOptions: a. 20 %, b. 50 %, c. 55 %, d. 75 %, e. 80 %", "output": [ "b" ] }, { "id": "task1678-2bd9d52e26574cd69f8736d83e580205", "input": "Problem: the difference between a two - digit number and the number obtained by interchanging the positions of its digits is 27. what is the difference between the two digits of that number ?\nOptions: a. 3, b. 5, c. 6, d. 8, e. 9", "output": [ "a" ] }, { "id": "task1678-19cf48a452a04035ade2c23f466d6750", "input": "Problem: a fair price shopkeeper takes 10 % profit on his goods. he lost 60 % goods during theft. his loss percent is :\nOptions: a. 72 %, b. 42 %, c. 56 %, d. 12 %, e. 22 %", "output": [ "c" ] }, { "id": "task1678-1267bd638171478d9b218091d7a52fc4", "input": "Problem: a corporation that had $ 115.19 billion in profits for the year paid out $ 230.10 million in employee benefits. approximately what percent of the profits were the employee benefits ? ( note: 1 billion = 10 ^ 9 )\nOptions: a. 50 %, b. 20 %, c. 5 %, d. 2 %, e. 0.2 %", "output": [ "e" ] }, { "id": "task1678-ae8071332c6a409eb6e7e5d8c5707cfc", "input": "Problem: 39 men can complete a piece of work in 18 days. in how many days will 27 men complete the same work ?\nOptions: a. 24, b. 77, c. 26, d. 25, e. 13", "output": [ "c" ] }, { "id": "task1678-13cf73fafa4f4d8784abd47c52c49b59", "input": "Problem: two cars a and b start from boston and new york respectively simultaneously and travel towards each other at constant speeds along the same route. after meeting at a point between boston and new york the two cars a and b proceed to their respective destinations of new york and boston. car a reaches new york 80 minutes after the two cars have met and car b reaches boston 90 minutes after they have met. how long did car a take to cover the distance between boston and new york ?\nOptions: a. 1 hour, b. 1 hour 10 minutes, c. 2 hours 30 minutes, d. 1 hour 40 minutes, e. 2 hours 20 minutes", "output": [ "e" ] }, { "id": "task1678-43daf9835fe54e85bdcfca820dc6b745", "input": "Problem: a metallic sphere of radius 24 cm is melted and drawn into a wire, whose radius of cross section is 16 cm. what is the length of the wire ?\nOptions: a. 26 cm, b. 45 cm, c. 58 cm, d. 63 cm, e. 72 cm", "output": [ "e" ] }, { "id": "task1678-6085ac10cc4248bca795a51e48fcc81f", "input": "Problem: two pipes can fill a tank in 18 minutes and 6 minutes. an outlet pipe can empty the tank in 45 minutes. if all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank ?\nOptions: a. 1 / 15, b. 1 / 6, c. 1 / 11, d. 1 / 10, e. 1 / 12", "output": [ "b" ] }, { "id": "task1678-27fe2c6cad0245db96690d0dc5a9aef3", "input": "Problem: how many multiples of 4 are there between 32 and 252 ?\nOptions: a. 67, b. 64, c. 54, d. 56, e. 60", "output": [ "c" ] }, { "id": "task1678-bbe5f715443a449aa68682a33785a2c5", "input": "Problem: a train 260 m long is running at a speed of 45 km / hr. in what time will it pass a bridge 140 m long ?\nOptions: a. 40, b. 32, c. 26, d. 21, e. 14", "output": [ "b" ] }, { "id": "task1678-18b1476568624c809330666f708cbab6", "input": "Problem: set # 1 = { a, b, c, d, e, f } set # 2 = { k, l, m, n, o, p } there are these two sets of letters, and you are going to pick exactly one letter from each set. what is the probability of picking at least one vowel ?\nOptions: a. 1 / 6, b. 1 / 3, c. 1 / 2, d. 2 / 3, e. 4 / 9", "output": [ "e" ] }, { "id": "task1678-0e827fbf9d9a49b590c0fdc3d7c90e77", "input": "Problem: if a no. when divided by 44, gives 432 as quotient and 0 as remainder. what will be the remainder when dividing thesame no. by 31\nOptions: a. 2, b. 4, c. 5, d. 7, e. 8", "output": [ "c" ] }, { "id": "task1678-9d8074636e004b2c86b44f427b50c109", "input": "Problem: the age of somu is one - third his father ' s. 7 years back he was one - fifth of his father ' s age. what is his persent age ?\nOptions: a. 11, b. 13, c. 14, d. 12, e. 10", "output": [ "c" ] }, { "id": "task1678-006c4cc879c14dce865dd205942c46fe", "input": "Problem: sam ’ s car was fined when he gave joe and peter a ride, so they decided to help sam pay the fine. joe paid $ 6 more than 1 / 4 of the fine and peter paid $ 6 less than 1 / 3 of the fine, leaving pay $ 10 less than 1 / 2 the fine to complete the payment. what fraction of the fine did sam pay ?\nOptions: a. $ 50, b. $ 40, c. $ 35, d. $ 44, e. $ 45", "output": [ "a" ] }, { "id": "task1678-23fc18216f8241dca2e1f1e77a653a2b", "input": "Problem: the average wages of a worker during a fortnight comprising 15 consecutive working days was $ 90 per day. during the first 7 days, his average wages was $ 87 per day and the average wages during the last 7 days was $ 91 per day. what was his wage on the 8 th day ?\nOptions: a. $ 83, b. $ 90, c. $ 92, d. $ 97, e. $ 104", "output": [ "e" ] }, { "id": "task1678-4462575decdb47308425197f7f5771a1", "input": "Problem: it is decided to construct a 2 metre broad pathway around a rectangular plot on the inside. if the area of the plots is 96 sq. m. and the rate of construction is rs. 50 per square metre., what will be the total cost of the construction ?\nOptions: ['a. rs. 3500', 'b. rs. 4200', 'c. insufficient data', 'd. rs. 4400', 'e. none of these']", "output": [ "c" ] }, { "id": "task1678-4a8950a4129c4349b26a93f21b786c85", "input": "Problem: in a class, there are 18 boys who are over 160 cm tall. if these constitute 3 - fourths of the boys and the total number of boys is two - thirds of the total number of students in the class, what is the number of girls in the class ?\nOptions: a. 11, b. 12, c. 28, d. 27, e. 19", "output": [ "b" ] }, { "id": "task1678-af3cc532825a4b659e349d747c62f62a", "input": "Problem: a and b invests rs. 10000 each, a investing for 6 months and b investing for all the 12 months in the year. if the total profit at the end of the year is rs. 24000, find their shares ?\nOptions: a. 8000, 16000, b. 1599,2000, c. 7290,3000, d. 15000,4000, e. 72821,5000", "output": [ "a" ] }, { "id": "task1678-69428db0db5947ab92e01f0c67920ff2", "input": "Problem: the perimeter of a triangle is 40 cm and the inradius of the triangle is 2.5 cm. what is the area of the triangle ?\nOptions: a. 87 cm 2, b. 28 cm 2, c. 98 cm 2, d. 26 cm 2, e. 50 cm 2", "output": [ "e" ] }, { "id": "task1678-70388be9a86849829e1e7a747c4100f1", "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": "task1678-588939844b7e4d68912001f8e3b0b073", "input": "Problem: if a man lost 4 % by selling oranges at the rate of 72 a rupee at how many a rupee must he sell them to gain 44 % ?\nOptions: a. 41, b. 48, c. 49, d. 44, e. 43", "output": [ "b" ] }, { "id": "task1678-f0957452ac614a3491a24e70cc42bfd0", "input": "Problem: a man swims downstream 40 km and upstream 16 km taking 4 hours each time, what is the speed of the man in still water ?\nOptions: a. 7, b. 7.5, c. 6.8, d. 7.8, e. 8.0", "output": [ "b" ] }, { "id": "task1678-38663535492b47cc958732e08e8da8fe", "input": "Problem: | 5 - 2 | - | 6 - 9 | = ?\nOptions: a. 3, b. 2, c. 1, d. 0, e. 4", "output": [ "d" ] }, { "id": "task1678-25efb221a31a4993971635ee1f612097", "input": "Problem: find value of x: 121 × 54 = x\nOptions: a. 34545, b. 46576, c. 67887, d. 57687, e. 75625", "output": [ "e" ] }, { "id": "task1678-eca9252c45744ddca893ae9275737efa", "input": "Problem: two pipes a and b can fill a tank in 20 and 30 minutes respectively. if both the pipes are used together, then how long it will take to fill the tank ?\nOptions: a. 10 mins, b. 12 mins, c. 15 mins, d. 20 mins, e. 30 mins", "output": [ "b" ] }, { "id": "task1678-c3be77903c7442489a15e7abe0ab7dbc", "input": "Problem: how many integers are between 4 and 87 / 8, inclusive ?\nOptions: a. 4, b. 5, c. 7, d. 9, e. 10", "output": [ "c" ] }, { "id": "task1678-734303932a574bad8612dcbfbb9d3b38", "input": "Problem: aishwarya rai walks into a bank to cash out her check. by mistake the bank teller gives her dollar amount in change, and her cent amount in dollars. on the way home she spends 5 cent, and then suddenly she notices that she has twice the amount of her check. how much was her check amount ?\nOptions: a. 21.55, b. 25.89, c. 30.56, d. 31.55, e. 31.63", "output": [ "e" ] }, { "id": "task1678-cd54fbfb0f5d4f58abc845c818928fc4", "input": "Problem: the length of a room is 9 m and width is 4.75 m. what is the cost of paying the floor by slabs at the rate of rs. 900 per sq. metre.\nOptions: a. 25650, b. 25750, c. 26550, d. 30750, e. 38475", "output": [ "e" ] }, { "id": "task1678-3cb5cd5b101a4c4aab9b4a6c39b9b40b", "input": "Problem: if 2 ^ 5, 3 ^ 3, and 13 ^ 2 are all factors of the product of 936 and w where w is a positive integer, what is the smallest possible value of w ?\nOptions: a. 26, b. 39, c. 42, d. 65, e. 156", "output": [ "e" ] }, { "id": "task1678-b9d46904db634231894932d2b8636542", "input": "Problem: a sum of money at simple interest amounts to rs. 815 in 2 years and to rs. 854 in 4 years. the sum is :\nOptions: a. s. 650, b. s. 690, c. s. 698, d. s. 700, e. s. 737", "output": [ "e" ] }, { "id": "task1678-49fef637998b4d8493bb043ed54d091a", "input": "Problem: i chose a number and divide it by 12. then i subtracted 240 from the result and got 8. what was the number i chose ?\nOptions: a. 2976, b. 2989, c. 2789, d. 2888, e. 2098", "output": [ "a" ] }, { "id": "task1678-7ea3057a0a624c4886d3fc45985b3f2b", "input": "Problem: at 1: 00 pm, a truck left city p and headed toward city q at a constant speed of 36 km / h. one hour later, a car left city q and headed toward city p along the same road at a constant speed of 48 km / h. if the distance between city p and city q is 330 km, at what time will the truck and the car meet each other ?\nOptions: a. 4: 30, b. 4: 45, c. 5: 00, d. 5: 15, e. 5: 30", "output": [ "e" ] }, { "id": "task1678-af7db27c04304dd49d21c87ef1aa5735", "input": "Problem: if x = 27 ^ 324 and y = 3 ^ 134, what is the units digit of x / y ?\nOptions: a. 1, b. 3, c. 5, d. 7, e. 9", "output": [ "e" ] }, { "id": "task1678-b49aba7d45c54e67a092493f29191a9f", "input": "Problem: in what time will a train 100 meters long cross an electric pole, if its speed is 72 km / hr\nOptions: a. 5 seconds, b. 2.8 seconds, c. 3.5 seconds, d. 2.5 seconds, e. 2.6 seconds", "output": [ "a" ] }, { "id": "task1678-154483b753c94d27bd55c4db796af644", "input": "Problem: at joel ’ s bookstore, the current inventory is 30 % historical fiction. of the historical fiction books, 40 % are new releases, while 50 % of the other books are new releases. what fraction of all new releases are the historical fiction new releases ?\nOptions: a. 4 / 25, b. 12 / 47, c. 2 / 5, d. 8 / 15, e. 2 / 3", "output": [ "b" ] }, { "id": "task1678-16001b5f6a0c4dfd8caf5d59261102dd", "input": "Problem: if 45 % of a class averages 95 % on a test, 50 % of the class averages 78 % on the test, and the remainder of the class averages 60 % on the test, what is the overall class average ? ( round final answer to the nearest percent ).\nOptions: a. 83 %, b. 84 %, c. 85 %, d. 86 %, e. 87 %", "output": [ "c" ] }, { "id": "task1678-4e24fd68fe3b4541910d124a64d1965c", "input": "Problem: on a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. on the next day, orangeade was made by mixing the same amount of orange juice with twice the amount of water. on both days, all the orangeade that was made was sold. if the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $ 0.30 per glass on the first day, what was the price per glass on the second day ?\nOptions: a. $ 0.15, b. $ 0.20, c. $ 0.30, d. $ 0.40, e. $ 0.45", "output": [ "b" ] }, { "id": "task1678-f37f07aea24144c3b9b55bb6a4db7b33", "input": "Problem: calculate the effect changes in dimension of a rectangle will have on its area, if length is increased by 40 % and its breadth is decreased by 25 % ?\nOptions: a. 5 % increase, b. 7 % increase, c. 6 % increase, d. 4 % increase, e. 3 % increase", "output": [ "a" ] }, { "id": "task1678-8138a96d5ace430eae826d4a6f6078ef", "input": "Problem: if 3 / w + 3 / x = 3 / y and wx = y, then the average ( arithmetic mean ) of w and x is\nOptions: a. 1 / 2, b. 1, c. 2, d. 4, e. 8", "output": [ "a" ] }, { "id": "task1678-e38e096b89cb4310af8527df0918a4b3", "input": "Problem: - - - - - - - - - - - - - - - - yes - - - - - - - - - no - - - - unsure subject m - - - - 500 - - - - - - - - 200 - - - - - 100 subject r - - - - 400 - - - - - - - - 100 - - - - - 300 a total of 800 students were asked whether they found two subjects, m and r, interesting. each answer was either yes or no or unsure, and the numbers of students who gave these answers are listed in the table above. if 140 students answered yes only for subject m, how many of the students did not answer yes for either subject ?\nOptions: a. 100, b. 260, c. 360, d. 400, e. 500", "output": [ "b" ] }, { "id": "task1678-50297b85820d42e39a9abea1fd03974a", "input": "Problem: the area of a square field is 7201 sq m. how long will a lady take to cross the field diagonally at the rate of 2.4 km / hr ?\nOptions: ['a. 2 min', 'b. 3 min', 'c. 4 min', 'd. 5 min', 'e. 6 min']", "output": [ "b" ] }, { "id": "task1678-4680a85545c8498fa7275a7f9cb58efa", "input": "Problem: a man can do a piece of work in 7 days, but with the help of his son, he can finish it in 3 days. in what time can the son do it alone ?\nOptions: a. 5, b. 4 1 / 5, c. 7 1 / 2, d. 6, e. 9 1 / 2", "output": [ "b" ] }, { "id": "task1678-49aa10ca55c54cd983dd71fe4a56cd45", "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": "task1678-83461a7ecb35490a80eece81575c56a1", "input": "Problem: if | 5 x - 25 | = 100, then find the sum of the values of x ?\nOptions: a. 1, b. - 2, c. 10, d. - 3, e. 4", "output": [ "c" ] }, { "id": "task1678-e65d952e10bc487e823fe8f94651e865", "input": "Problem: running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. at this rate, how many bottles could 8 such machines produce in 4 minutes ?\nOptions: a. 648, b. 1800, c. 2700, d. 1440, e. none of these", "output": [ "d" ] }, { "id": "task1678-e9fa5a600e654cd4b30ba92dca3a41cc", "input": "Problem: how many zeroes are there at the end of the number n, if n = 100 ! + 200 ! ?\nOptions: a. 73, b. 49, c. 20, d. 48, e. 24", "output": [ "e" ] }, { "id": "task1678-8e2289c7b3be41128943dcc967e531b7", "input": "Problem: a number when divided b the sum of 555 and 445 gives two times their difference as quotient and 30 as the remainder. the number is :\nOptions: a. 1220, b. 1250, c. 2030, d. 22030, e. 1350", "output": [ "d" ] }, { "id": "task1678-5ff94ddafd204caa97194fcc86953c2a", "input": "Problem: if two dice are thrown together, the probability of getting an even prime number on the dice is\nOptions: a. 1 / 36, b. 1 / 18, c. 1 / 13, d. 1 / 9, e. 5 / 36", "output": [ "a" ] }, { "id": "task1678-df8edc62a52146e2bc540732e93e8148", "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": "task1678-e2d4be9dd9fb4e9288fcc53a41d59d8f", "input": "Problem: find the greatest number that will divide 205, 626 and 588 leaving 5, 6 and 8 as remainders respectively\nOptions: a. 19, b. 17, c. 13, d. 9, e. 20", "output": [ "e" ] }, { "id": "task1678-bbcde30a360640f3ab7cef4b6ce5f720", "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": "task1678-b202385bca4f41e49ddd968313ba47f9", "input": "Problem: if x ^ 2 + 9 / x ^ 2 = 10, what is the value of x - 3 / x\nOptions: a. 36, b. 25, c. 2, d. 5, e. 3", "output": [ "c" ] }, { "id": "task1678-b8a3737fd9964c85b4c9b1bcb4948baf", "input": "Problem: the average salary / head of all the workers in a workshop is rs. 1100, if the average salary / head of 9 technician is rs. 1300 and the average salary / head of the rest is rs. 880, the total no. of workers in the work - shop is ?\nOptions: a. 18, b. 20, c. 22, d. 17, e. 26", "output": [ "d" ] }, { "id": "task1678-cd8eac5c02ad428c95d82520030b35dd", "input": "Problem: in traveling from a dormitory to a certain city, a student went 1 / 5 of the way by foot, 2 / 3 of the way by bus, and the remaining 10 kilometers by car. what is the distance, in kilometers, from the dormitory to the city ?\nOptions: a. 30, b. 45, c. 62, d. 90, e. 120", "output": [ "c" ] }, { "id": "task1678-fa28ba27b82442d58eb962932bca9710", "input": "Problem: joe invested a certain sum of money in a simple interest bond whose value grew to $ 310 at the end of 3 years and to $ 410 at the end of another 5 years. what was the rate of interest in which he invested his sum ?\nOptions: a. 6 %, b. 7 %, c. 8 %, d. 9 %, e. 10 %", "output": [ "c" ] }, { "id": "task1678-04ed07ce762f498b91cd088b4ef112a8", "input": "Problem: a rhombus has area 432 sq m, one diagonal is 36 cm. find other diagonal ?\nOptions: ['a. 2400 m', 'b. 2500 m', 'c. 2600 m', 'd. 2700 m', 'e. 2900 m']", "output": [ "a" ] }, { "id": "task1678-ebb8431f40f946a3b0805642e2c323e2", "input": "Problem: if { x } is the product of all even integers from 1 to x inclusive, what is the greatest prime factor of { 12 } + { 10 } ?\nOptions: a. 23, b. 20, c. 13, d. 5, e. 2", "output": [ "c" ] }, { "id": "task1678-76b07247c5ec42acbb8bfc9fb3854a05", "input": "Problem: a, b and c invested rs. 2400, rs. 7200 and rs. 9600 respectively, in a partnership business. find the share of a in profit of rs. 9000 after a year ?\nOptions: a. 1125, b. 2400, c. 7200, d. 2500, e. 2511", "output": [ "a" ] }, { "id": "task1678-2de563cc6618424780cb613e17cbcc26", "input": "Problem: a women purchased 3 towels @ rs. 100 each, 5 towels @ rs. 150 each and two towels at a certain rate which is now slipped off from his memory. but she remembers that the average price of the towels was rs. 165. find the unknown rate of two towels ?\nOptions: a. a. 400, b. b. 450, c. c. 500, d. d. 550, e. e. 600", "output": [ "e" ] }, { "id": "task1678-e9eb6968e8f5439896294edd8a0f7584", "input": "Problem: aaron will jog from home at 2 miles per hour and then walk back home by the same route at 4 miles per hour. how many miles from home can aaron jog so that he spends a total of 3 hours jogging and walking ?\nOptions: a. 5, b. 7, c. 3, d. 9, e. 10", "output": [ "c" ] }, { "id": "task1678-73f497a043334901b85fd2ef1621b526", "input": "Problem: every year an amount increases by 1 / 8 th of itself. how much will it be after two years if its present value is rs. 57600 ?\nOptions: a. 81000, b. 81028, c. 27772, d. 72900, e. 22312", "output": [ "d" ] }, { "id": "task1678-665f36701fd5483aa6528fbdec13a49a", "input": "Problem: for each of her sales, a saleswoman receives a commission equal to 20 percent of the first $ 500 of the total amount of the sale, plus 35 percent of the total amount in excess of $ 500. if the total amount of one of her sales was $ 800, the saleswoman ’ s commission was approximately what percent of the total amount of the sale ?\nOptions: a. 22 %, b. 24 %, c. 25 %, d. 26 %, e. 28 %", "output": [ "d" ] }, { "id": "task1678-dfe753f2247b4d13a23cd0ecccfc6d57", "input": "Problem: a boat can travel with a speed of 22 km / hr in still water. if the speed of the stream is 5 km / hr, find the time taken by the boat to go 135 km downstream\nOptions: a. 5 hours, b. 4 hours, c. 3 hours, d. 2 hours, e. none of these", "output": [ "a" ] }, { "id": "task1678-4ca62e339b1249818a51f1c31a862acd", "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": "task1678-97f58f5cc9144a45a3f1815a5f8730fe", "input": "Problem: find the 10 th term of an arithmetic progression whose first term is 8 and the common difference is 2.\nOptions: a. 45, b. 26, c. 44, d. 40, e. 46", "output": [ "b" ] }, { "id": "task1678-18843b4fb528411ba46b4d9b67d70450", "input": "Problem: if ( 10 x + 2 ) / 4 - ( 3 x - 6 ) / 18 = ( 2 x + 4 ) / 3, then what is the value of x ?\nOptions: a. 3, b. - 3, c. 10 / 3, d. 3 / 10, e. - 10 / 3", "output": [ "d" ] }, { "id": "task1678-64e625d8b0f1448f893ccc5ed474ae6f", "input": "Problem: the cross - section of a cannel is a trapezium in shape. if the cannel is 8 m wide at the top and 6 m wide at the bottom and the area of cross - section is 700 sq m, the depth of cannel is ?\nOptions: a. 76, b. 100, c. 27, d. 80, e. 25", "output": [ "b" ] }, { "id": "task1678-2b0abb21037a437092c9186338bc9ebf", "input": "Problem: the area of a circular field is 13.86 hectares. find the cost of fencing it at the rate of rs. 4.80 per metre.\nOptions: a. 2399, b. 6336, c. 2999, d. 5808, e. 2888", "output": [ "b" ] }, { "id": "task1678-09a7144fe4f249b0b325e594b282b015", "input": "Problem: a man bought 20 shares of rs. 50 at 5 discount, the rate of dividend being 4 %. the rate of interest obtained is\nOptions: a. 5 %, b. 5.28 %, c. 5.30 %, d. 5.50 %, e. 6 %", "output": [ "b" ] }, { "id": "task1678-8865c3ad83334356ba1f7a6ae97d7668", "input": "Problem: a train 150 m long is running at a speed of 68 kmph. how long does it take to pass a man who is running at 8 kmph in the same direction as the train ?\nOptions: a. 2 sec, b. 6 sec, c. 8 sec, d. 9 sec, e. 5 sec", "output": [ "d" ] }, { "id": "task1678-69597bf10e10402fb8af68aac6e213dd", "input": "Problem: convert the 13 / 54 m / s into kilometers per hour ?\nOptions: a. 1.7, b. 1.5, c. 0.86, d. 1.1, e. 1.2", "output": [ "c" ] }, { "id": "task1678-888d6d378c224afa861b9153262c4ea6", "input": "Problem: in a 300 m race a beats b by 22.5 m or 6 seconds. b ' s time over the course is :\nOptions: a. 86 sec, b. 80 sec, c. 76 sec, d. 96 sec, e. none of these", "output": [ "b" ] }, { "id": "task1678-b8fd4437caad4c0e883f108110d341c7", "input": "Problem: annie and sam set out together on bicycles traveling at 15 and 12 km per hour respectively. after 40 minutes, annie stops to fix a flat tire. if it takes annie 30 minutes to fix the flat tire and sam continues to ride during this time, how many minutes will it take annie to catch up with sam assuming that annie resumes riding at 15 km per hour ?\nOptions: a. 20, b. 40, c. 60, d. 80, e. 100", "output": [ "d" ] }, { "id": "task1678-bae35602c10942af9000983594d2cecc", "input": "Problem: john and jane went out for a dinner and they ordered the same dish. both used a 10 % discount coupon. john paid a 15 % tip over the original price of the dish, while jane paid the tip over the discounted price for the coupon. if john paid $ 0.60 more than jane, what was the original price of the dish ?\nOptions: a. 24, b. 34.8, c. 37.8, d. 40, e. 84", "output": [ "d" ] }, { "id": "task1678-59b2c88802714755a5440d26b982d7ab", "input": "Problem: a certain industrial loom weaves 0.126 meters of cloth every second. approximately how many seconds will it take for the loom to weave 15 meters of cloth ?\nOptions: a. 114, b. 115, c. 116, d. 117, e. 119", "output": [ "e" ] }, { "id": "task1678-0cb340536a0d4722828e1393203e0798", "input": "Problem: a cistern is normally filled in 8 hrs, but takes 2 hrs longer to fill because of a leak on its bottom, if cistern is full, how much time citern would empty ?\nOptions: a. 10 hours, b. 20 hours, c. 30 hours, d. 40 hours, e. 50 hours", "output": [ "d" ] }, { "id": "task1678-52cc84fdf3224575a3335c447cb7ce48", "input": "Problem: oil cans x and y are right circular cylinders and the height and radius of y are each 4 times those of x. if the oil in can x filled to capacity sells for $ 2, how much does the oil in y sell for if y is only half filled ?\nOptions: a. $ 60, b. $ 52, c. $ 63, d. $ 64, e. $ 68", "output": [ "d" ] }, { "id": "task1678-3999f386684b4bc5b023184bd0f30971", "input": "Problem: a searchlight on top of the watch - tower makes 6 revolutions per minute. what is the probability that a man appearing near the tower will stay in the dark for at least 10 seconds ?\nOptions: a. 1 / 4, b. 1 / 3, c. 1 / 2, d. 2 / 3, e. 1", "output": [ "e" ] }, { "id": "task1678-47f0a5c0b08444be99d5097f1556601f", "input": "Problem: jerome anticipated that the webweb. com stock price would fall and sold all his webweb. com stocks for $ 5 per stock. he paid $ 10,000 tax on the revenue. a week later, jerome became convinced that the webweb. com stock price would rise, and he used the money that he had gotten from selling the webweb. com stocks to purchase them again, this time at $ 6 per stock. if jerome ended up having 4000 webweb. com stocks fewer than the number he had before selling them, how many webweb. com stocks did he have originally ?\nOptions: a. 10,000, b. 11,600, c. 12,000, d. 14,000, e. 16,400", "output": [ "d" ] }, { "id": "task1678-a72fd3506e2b4eed87d52b4ba8332323", "input": "Problem: how many distinct integer values of n satisfy the inequality | | n - 3 | + 4 | ≤ 15 ?\nOptions: a. 15, b. 16, c. 17, d. 18, e. 13", "output": [ "e" ] }, { "id": "task1678-adbe5620bbd345cfa1f14c192ecfaae9", "input": "Problem: a man rows his boat 75 km downstream and 45 km upstream, taking 5 hours each time. find the speed of the stream ?\nOptions: a. 6 kmph, b. 5 kmph, c. 2 kmph, d. 3 kmph, e. 1 kmph", "output": [ "d" ] }, { "id": "task1678-4e84137121b5416db4e660f62f773536", "input": "Problem: an industrial loom weaves 0.128 metres of cloth every second. approximately, how many seconds will it take for the loom to weave 25 metre of cloth ?\nOptions: a. 194 seconds, b. 195 seconds, c. 196 seconds, d. 197 seconds, e. none of these", "output": [ "b" ] }, { "id": "task1678-7a869a970a724af2afd06ceb6940f67f", "input": "Problem: at what time between 5 and 6 o ' clock are the hands of a 3 minutes apart ?\nOptions: a. 24, b. 55, c. 66, d. 88, e. 21", "output": [ "a" ] }, { "id": "task1678-94d424b2910748df9fa1900d237e3217", "input": "Problem: the probability is 1 / 2 that a certain coin turns up heads on any given toss. if the coin is tossed 6 times, what is the probability that the coin turns up tails on at least one of the tosses ?\nOptions: a. 15 / 16, b. 21 / 32, c. 31 / 32, d. 63 / 64, e. 51 / 64", "output": [ "d" ] }, { "id": "task1678-e8986d38230443fca3dcaf53482bf3d9", "input": "Problem: a football field is 8400 square yards. if 1200 pounds of fertilizer are spread evenly across the entire field, how many pounds of fertilizer were spread over an area of the field totaling 3500 square yards ?\nOptions: a. 450, b. 600, c. 500, d. 2400, e. 3200", "output": [ "c" ] }, { "id": "task1678-7389137eeee9400c8979d3daa0b1f347", "input": "Problem: the lowest number which should be added to 11390 so that the sum is exactly divisible by 7, 9, 10 and 12 is :\nOptions: a. 1010, b. 2210, c. 1250, d. 1210, e. 1110", "output": [ "d" ] }, { "id": "task1678-411206e634da42c4ab006daf4350e082", "input": "Problem: a telephone company needs to create a set of 3 - digit area codes. the company is entitled to use only digits 2, 4 and 3, which can be repeated. if the product of the digits in the area code must be even, how many different codes can be created ?\nOptions: a. 20, b. 26, c. 24, d. 22, e. 30", "output": [ "b" ] }, { "id": "task1678-ba59f0d1cb94479183228d82caa93d14", "input": "Problem: 120 students represent x percent of the boys at a school. if the boys at the school make up 30 % of the total school population of x students, what is x ?\nOptions: a. 120, b. 150, c. 180, d. 200, e. 250", "output": [ "d" ] }, { "id": "task1678-0e0a8606d52342fdb283715a2e058184", "input": "Problem: a man spends 2 / 5 of his salary on house rent, 3 / 10 of his salary on food and 1 / 8 of his salary on conveyance. if he has rs. 1400 left with him, find his expenditure on food and conveyance.\nOptions: a. 1000, b. 2000, c. 3000, d. 4000, e. 5000", "output": [ "a" ] }, { "id": "task1678-3770cdf2e0634117a7aeaf2505d5ddb7", "input": "Problem: find the average of all prime numbers between 10 and 30.\nOptions: a. 30, b. 33.6, c. 39.8, d. 18.6, e. none", "output": [ "d" ] }, { "id": "task1678-b9a8d06ea4f74e54853b4ee615276250", "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": "task1678-48d48fd42a434ae9992aa5262bc27e88", "input": "Problem: in a recent election, geoff received 15 percent of the 6,000 votes cast. to win the election, a candidate needed to receive more than x % of the vote. if geoff needed exactly 3,571 more votes to win the election, what is the value of x ?\nOptions: a. 74.5, b. 54, c. 56, d. 60, e. 63", "output": [ "a" ] }, { "id": "task1678-7795d0d824264b138a88cf1a1c8b533e", "input": "Problem: in a can, there is a mixture of milk and water in the ratio 4: 5. if it is filled with an additional 6 litres of milk the can would be full and ratio of milk and water would become 6: 5. find the capacity of the can ?\nOptions: a. 33, b. 44, c. 48, d. 52, e. none of these", "output": [ "a" ] }, { "id": "task1678-80bb5b588bcd41d4b6ed1e008b2d564b", "input": "Problem: a lady grows broccoli in her garden that is in the shape of a square. each broccoli takes 1 square foot of area in her garden. this year, she has increased her output by 79 broccoli when compared to last year. the shape of the area used for growing the broccoli has remained a square in both these years. how many broccoli did she produce this year ?\nOptions: ['a. 1600', 'b. 1500', 'c. 1650', 'd. 1700', 'e. can not be determined']", "output": [ "a" ] }, { "id": "task1678-d3e97a5b83944c4aa67ffe17a2e866a1", "input": "Problem: a train 120 m long is running at 60 kmph. in how much time will it pass a platform 240 m long ?\nOptions: a. 15.6 seconds, b. 24.6 seconds, c. 21.6 seconds, d. 30.6 seconds, e. 35.6 seconds", "output": [ "c" ] }, { "id": "task1678-49b36d2b9da94aa78e339df6e8149093", "input": "Problem: a is twice as good a workman as b and together they complete a work in 12 days. in how many days a alone can do the work ?\nOptions: a. 32, b. 33, c. 34, d. 35, e. 36", "output": [ "e" ] }, { "id": "task1678-7fee0d31984e418988af0f221bb03f2a", "input": "Problem: 10 women can complete a work in 5 days and 10 children take 10 days to complete the work. how many days will 5 women and 10 children take to complete the work ?\nOptions: a. 4, b. 5, c. 7, d. 8, e. 2", "output": [ "b" ] }, { "id": "task1678-24b0202abae14a60b6baaded09a2dcbb", "input": "Problem: if p # q denotes the least common multiple of p and q, then e = ( ( 12 # 16 ) # ( 18 # 24 ) ) = ?\nOptions: a. 216, b. 180, c. 144, d. 108, e. 72", "output": [ "c" ] }, { "id": "task1678-435fdc9fe480428b97a3aba0467305a9", "input": "Problem: if m is an integer such that ( - 2 ) ^ 2 m = 2 ^ ( 6 - m ) then m = ?\nOptions: a. 1, b. 2, c. 3, d. 5, e. 6", "output": [ "b" ] }, { "id": "task1678-b6ec0211da87413ea5f43c0fc24d853e", "input": "Problem: a train passes a platform in 44 seconds. the same train passes a man standing on the platform in 20 seconds. if the speed of the train is 54 km / hr, the length of the platform is\nOptions: a. 240, b. 250, c. 360, d. 230, e. 220", "output": [ "c" ] }, { "id": "task1678-e20e2410ea1f4c7eb2ebb2af9a5bf065", "input": "Problem: exactly 35 % of the reporters for a certain wire service cover local politics in country x. if 30 % of the reporters who cover politics for the wire service do not cover local politics in country x, what percent of the reporters for the wire service do not cover politics ?\nOptions: a. 20 %, b. 42 %, c. 44 %, d. 50 %, e. 84 %", "output": [ "d" ] }, { "id": "task1678-6a7eacfdea4746ffa83a66b65e59c345", "input": "Problem: if rs. 10 be allowed as true discount on a bill of rs. 110 due at the end of a certain time, then the discount allowed on the same sum due at the end of double the time is :\nOptions: a. rs. 20, b. rs. 21.81, c. rs. 22, d. rs. 18.33, e. none", "output": [ "d" ] }, { "id": "task1678-5346aeba92364b429c0862efebc38934", "input": "Problem: the speed at which a man can row a boat in still water is 150 kmph. if he rows downstream, where the speed of current is 48 kmph, what time will he take to cover 390 metres ?\nOptions: a. 10, b. 11, c. 12, d. 13, e. 14", "output": [ "d" ] }, { "id": "task1678-828ddbafc94449aebb8c819813a87bfb", "input": "Problem: a shopkeeper gave an additional 20 per cent concession on the reduced price after giving 30 per cent standard concession on an article. if arun bought that article for 1120, what was the original price ?\nOptions: a. 3000, b. 4000, c. 2400, d. 2000, e. none of these", "output": [ "d" ] }, { "id": "task1678-1bedff66765647e1b4f2b4f3711e01eb", "input": "Problem: if x, y, and z are positive integers and 3 x = 4 y = 7 z, then the least possible value of x - y + z is\nOptions: a. 33, b. 40, c. 49, d. 19, e. 61", "output": [ "d" ] }, { "id": "task1678-5933ca8fb7344e9ebdf8c0153e103ac7", "input": "Problem: a man has some hens and cows. if the number of heads be 48 and the number of feet equals 140, then the number of cows will be :\nOptions: a. 30, b. 23, c. 24, d. 26, e. 22", "output": [ "e" ] }, { "id": "task1678-d469c6820fff472dafe2c17528bfa6fc", "input": "Problem: a man buys an article for $ 100. and sells it for $ 130. find the gain percent ?\nOptions: a. 10 %, b. 15 %, c. 25 %, d. 20 %, e. 30 %", "output": [ "e" ] }, { "id": "task1678-5b95a9fb3ef94f00a82f8f5bebce68d8", "input": "Problem: how many cubes of 20 cm edge can be put in a cubical box of 1 m edge.\nOptions: a. 177 cm, b. 125 cm, c. 786 cm, d. 617 cm, e. 187 cm", "output": [ "b" ] }, { "id": "task1678-45c087fc16cc42318f6fe2844a89cf83", "input": "Problem: 3 houses are available in a new flat. 3 persons apply for the houses. each applies for 1 house without consulting others. the probability that all the 3 apply for the same house is ?\nOptions: a. 1 / 7, b. 1 / 9, c. 2 / 7, d. 3 / 7, e. 2 / 9", "output": [ "b" ] }, { "id": "task1678-cd948e848cc449d3a772c94028020151", "input": "Problem: if log 10 5 + log 10 ( 5 x + 1 ) = log 10 ( x + 5 ) + 1, then x is equal to :\nOptions: a. 1, b. 5, c. 3, d. 2, e. 6", "output": [ "c" ] }, { "id": "task1678-0d8d6fb7277e45d6bb3272d3aef5dff2", "input": "Problem: the sum of 4 consecutive even numbers is 140. what would be the smallest number ?\nOptions: a. 32, b. 88, c. 70, d. 123, e. 12", "output": [ "a" ] }, { "id": "task1678-d48ea7eeba1645aea95a6e50f804e5f8", "input": "Problem: a train speeds past a pole in 15 seconds and a platform 100 m long in 30 seconds. its length is ?\nOptions: a. 188 m, b. 876 m, c. 251 m, d. 200 m, e. 145 m", "output": [ "d" ] }, { "id": "task1678-2910b3e29ddd4e6ca225689b1393e249", "input": "Problem: an article is sold at a certain price. by selling it at 2 / 3 of that price one loses 10 %. find the gain percent at original price ?\nOptions: a. 25 %, b. 20 %, c. 35 %, d. 40 %, e. 50 %", "output": [ "c" ] }, { "id": "task1678-c0db652530354296a04db99a26a7f44e", "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": "task1678-3dd560d6e99c476db14e1f382a641698", "input": "Problem: the local recycling plant had a contract requiring anyone who obtained recycled bottles for storage for them, to bring them back to be recycled again. the plant could make one new bottle from every 7 bottles returned. one week, on monday, they got 343 bottles to recycle. assuming that everybody brought back all the empties, how many could they eventually remake from the 343 ?\nOptions: a. 53, b. 54, c. 55, d. 56, e. 57", "output": [ "e" ] }, { "id": "task1678-544a7a2bb62140648929d5fe588ff356", "input": "Problem: how many numbers between 400 and 1000 can be made with the digits 2, 3,4, 5,6 and 0 ?\nOptions: a. 30, b. 60, c. 90, d. 120, e. 150", "output": [ "b" ] }, { "id": "task1678-b6b215146c524249a68c2f878753df64", "input": "Problem: the difference between the heights of two trees is 20 cm. 10 years ago, the taller one was thrice as taller as the shorter one. the present height of the taller tree is\nOptions: a. 300 cm, b. 15 cm, c. 20 cm, d. 10 cm, e. 40 cm", "output": [ "a" ] }, { "id": "task1678-3463b4c3f56749719adf213fab9cf798", "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": "task1678-294982154b6140279b7383f4f7cde097", "input": "Problem: in an examination, 35 % of total students failed in hindi, 45 % failed in english and 20 % in both. the percentage of these who passed in both the subjects is :\nOptions: a. 10 %, b. 20 %, c. 30 %, d. 40 %, e. 50 %", "output": [ "d" ] }, { "id": "task1678-628171998f454b7dbd80910ea7b0f032", "input": "Problem: 8 people went to a restaurant for dinner. 7 of them spent $ 10 each on their meals and the eighth spent $ 7 more than the average expenditure of all 8 people. what was the total amount of money that the 8 people spent ?\nOptions: a. $ 85, b. $ 88, c. $ 91, d. $ 94, e. $ 97", "output": [ "b" ] }, { "id": "task1678-9f3751bacdb740d997da9079f39c570f", "input": "Problem: a person crosses a 1080 m long street in 12 minutes. what is his speed in km per hour ?\nOptions: a. 4.1, b. 4.5, c. 4.8, d. 5.4, e. 5.5", "output": [ "d" ] }, { "id": "task1678-23ef33e6f9d04782b6993178aa3819bc", "input": "Problem: there were two candidates in an election. winner candidate received 62 % of votes and won the election by 384 votes. find the number of votes casted to the winning candidate ?\nOptions: a. 288, b. 744, c. 992, d. 298, e. 177", "output": [ "c" ] }, { "id": "task1678-645a997a63594900b2f191452e4f32a6", "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": "task1678-28da8ecb28b246d0a7977f9a437c85e5", "input": "Problem: if the product of the integers from 1 to n is divisible by 210, what is the least possible value of n ?\nOptions: a. 7, b. 14, c. 21, d. 28, e. 35", "output": [ "a" ] }, { "id": "task1678-51e40afa2d8841bc83d18ab565e227af", "input": "Problem: a grocer is storing soap boxes in cartons that measure 25 inches by 42 inches by 60 inches. if the measurement of each soap box is 7 inches by 6 inches by 10 inches, then what is the maximum number of soap boxes that can be placed in each carton ?\nOptions: a. 210, b. 252, c. 280, d. 150, e. 420", "output": [ "d" ] }, { "id": "task1678-d72dd60cae594405886df49d274edc32", "input": "Problem: selling an kite for rs. 30, a shop keeper gains 25 %. during a clearance sale, the shopkeeper allows a discount of 10 % on the marked price. his gain percent during the sale is ?\nOptions: a. 8 %, b. 10 %, c. 11 %, d. 12.5 %, e. 20 %", "output": [ "d" ] }, { "id": "task1678-d2449b99d4274cc8b2d3d78298d87695", "input": "Problem: in a university the average age in an arts class is 21 and average age in technical class is 18. what is the age average of university if there are 8 arts classes and 5 technical classes ?\nOptions: a. 18.75, b. 19.85, c. 20.32, d. 20.9, e. 21.0", "output": [ "b" ] }, { "id": "task1678-578127b3363d468ca6576d3082914646", "input": "Problem: a theater box office sold an average ( arithmetic mean ) of 65 tickets per staff member to a particular movie. among the daytime staff, the average number sold per member was 75, and among the evening staff, the average number sold was 60. if there are no other employees, what was the ratio of the number of daytime staff members to the number of evening staff members ?\nOptions: a. 1: 2, b. 1: 4, c. 5: 11, d. 1: 3, e. 13: 15", "output": [ "a" ] }, { "id": "task1678-c7c444241474463d9810504a230cee77", "input": "Problem: a milk man has 40 liters of milk. if he mixes 5 liters of water, which is freely available, in 20 liters of pure milk. if the cost of pure milk is rs. 18 per liter, then the profit of the milkman, when he sells all the mixture at cost price is :\nOptions: a. 20 %, b. 25 %, c. 45 %, d. 18 %, e. none of these", "output": [ "c" ] }, { "id": "task1678-0caf2062ddd744348775c9f79d7f855a", "input": "Problem: the sum of ages of 5 children born 1 years different each is 30 years. what is the age of the elder child ?\nOptions: a. 8, b. 9, c. 10, d. 16, e. 17", "output": [ "a" ] }, { "id": "task1678-7e30cf6be6b44ac998d3ab338034c704", "input": "Problem: in a kilometer race, if abhishek gives bharti a 40 m start, abhishek wins by 19 sec. but if abhishek gives bharti a 30 sec start, bharti wins by 40 m. find the time taken by bharti to run 5,000 m ?\nOptions: a. 150 sec, b. 750 sec, c. 450 sec, d. 825 sec, e. none of these", "output": [ "b" ] }, { "id": "task1678-b4a6548a5a9145d7bf77d6fe5334da0c", "input": "Problem: every disk in a bag is either blue, yellow or green. the ratio of blue disks to yellow disks to green disks in this bag is 3: 7: 8. if the total number of disks in the bag is 144, how many more green disks than blue disks are in the bag ?\nOptions: a. 25, b. 28, c. 30, d. 35, e. 40", "output": [ "e" ] }, { "id": "task1678-252818bc4e644614a3c3300c47e7b66b", "input": "Problem: if the sum of two numbers is 22 and the sum of their squares is 404, then the product of the numbers is\nOptions: a. 40, b. 44, c. 80, d. 88, e. 48", "output": [ "a" ] }, { "id": "task1678-77db64ff97af414f97e164c14808f20c", "input": "Problem: there are 200 female managers in a certain company. find the total number w of female employees in the company, if 2 / 5 of all the employees are managers and 2 / 5 of all male employees are managers.\nOptions: a. 300, b. w = 400, c. w = 500, d. w = 600, e. none of these", "output": [ "c" ] }, { "id": "task1678-8b809cbdbde04f80b6d7d1edbacc2542", "input": "Problem: a store reduced the price of all items in the store by 10 % on the first day and by another 10 % on the second day. the price of items on the second day was what percent of the price before the first reduction took place ?\nOptions: a. 80.0, b. 80.9, c. 81.0, d. 81.1, e. 81.9", "output": [ "c" ] }, { "id": "task1678-7939ac4a458942438fab2cc6d792d311", "input": "Problem: on the first of the year, james invested x dollars at proudstar bank in an account that yields 0.5 % in interest every quarter year. at the end of the year, during which he made no additional deposits or withdrawals, he had y dollars in the account. if james had invested the same amount in an account which pays interest on a yearly basis, what must the interest rate be for james to have y dollars at the end of the year ?\nOptions: a. 2.04 %, b. 4.12 %, c. 5 %, d. 8.25 %, e. 10 %", "output": [ "a" ] }, { "id": "task1678-3c61b834878d47f29def98f5c987cce6", "input": "Problem: the chance of rain on any given day in tel - aviv is 50 %. what is the probability w that it rained in tel - aviv on exactly 4 out of 6 randomly chosen days ?\nOptions: a. 15 / 64, b. 30 / 64, c. 1 / 2, d. 1 / 4, e. 52 / 64", "output": [ "a" ] }, { "id": "task1678-c42f69320b9c4fae922d1f81c227091f", "input": "Problem: the sum of two numbers is 77. 5 times one number is equal to 6 times the other. the bigger of the two numbers is\nOptions: a. 10, b. 42, c. 14, d. 15, e. 60", "output": [ "b" ] }, { "id": "task1678-2f099fd6c5f74efa90a0775ddd0c138e", "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": "task1678-6ea1a24adbd040c7b45d252092cc272d", "input": "Problem: 3 people took gmat practice tests in which the minimum and maximum possible scores are 200 and 800, respectively. they each took a test 3 times, and no one scored below 400 or over 700. if the individual ranges of the 3 people ' s scores in those 3 practice tests were 40, 70 and 100, what is the difference between the maximum and minimum possible ranges of all their scores put together.\nOptions: a. 70, b. 80, c. 100, d. 140, e. 200", "output": [ "e" ] }, { "id": "task1678-2c82c751fdf5408d9459b9391d9e6b34", "input": "Problem: if p / q = 3 / 11, then 2 p + q = ?\nOptions: a. 12, b. 14, c. 17, d. 15, e. 16", "output": [ "c" ] }, { "id": "task1678-94a4eafca10a46828d37c186ce77fbcb", "input": "Problem: what is the probability of rolling a total of 5 with a single roll of two fair 6 - sided dice, each with the distinct numbers 1 through 6 on each side ?\nOptions: a. 1 / 12, b. 1 / 6, c. 2 / 7, d. 1 / 3, e. 1 / 9", "output": [ "e" ] }, { "id": "task1678-053786ac5cd74fbaab4cc1e53de30329", "input": "Problem: if the simple interest on a certain sum of money for 6 years is one – fifth of the sum, then the rate of interest per annum is\nOptions: a. 3.3 %, b. 7.2 %, c. 6.1 %, d. 5.0 %, e. 3.1 %", "output": [ "a" ] }, { "id": "task1678-66565bfa27e745f180fb0f5182d1d0fd", "input": "Problem: the population of a city is 415600. it increased by 25 % in the first year and decreased by 30 % in the second year. what is the population of the city at the end of second year ?\nOptions: a. 367300, b. 363580, c. 363650, d. 373650, e. 386750", "output": [ "c" ] }, { "id": "task1678-2ab23540d17b41abb6cf410240d42be7", "input": "Problem: what is the least value of x, so that 2 x 5472 is divisible by 9\nOptions: a. 7, b. 8, c. 9, d. 3, e. 2", "output": [ "a" ] }, { "id": "task1678-acc5bf59d7df4003938fd53324310881", "input": "Problem: a thief is spotted by a policeman from a distance of 150 meters. when the policeman starts the chase, the thief also starts running. if the speed of the thief be 8 km / hr and that of the policeman 10 km / hr, how far the thief will have run before he is overtaken ?\nOptions: a. 350 m, b. 200 m, c. 400 m, d. 600 m, e. none of them", "output": [ "d" ] }, { "id": "task1678-5db1d8c594fc451ea460dbcd4174ff0d", "input": "Problem: car x began traveling at an average speed of 35 miles per hour. after 72 minutes, car y began traveling at an average speed of 70 miles per hour. when both cars had traveled the same distance, both cars stopped. how many miles did car x travel from the time car y began traveling until both cars stopped ?\nOptions: a. 15, b. 20, c. 40, d. 42, e. 68", "output": [ "d" ] }, { "id": "task1678-db27e414a18f46a48fdfd75aabd328d5", "input": "Problem: a fruit juice company earns $ 150 per 100 gallons of apple juice sold, $ 170 per 100 gallons of guava juice sold, $ 130 per 100 gallons of grape juice sold, $ 100 per 100 gallons of orange juice. if the company manages to sell 230 gallons of apple, 210 gallons of guava, 310 gallons of grape, 270 gallons of orange on a particular day. what is the average earning of the company per 100 gallon of the juice sold ?\nOptions: a. 134.8, b. 141.2, c. 147.2, d. 152.3, e. 160.1", "output": [ "a" ] }, { "id": "task1678-393ccc0363f04b6389cb465fbb3b6b14", "input": "Problem: if a mixture is 1 ⁄ 7 alcohol by volume and 2 ⁄ 7 water by volume, what is the ratio of the volume of alcohol to the volume of water in this mixture ?\nOptions: a. 4 / 2, b. 3 / 2, c. 1 / 2, d. 5 / 2, e. 7 / 2", "output": [ "c" ] }, { "id": "task1678-b5a753270e5a47179ceb928623c0c972", "input": "Problem: a man sitting in a train which is travelling at 50 kmph observes that a goods train, travelling in opposite direction, takes 9 seconds to pass him. if the goods train is 280 m long, find its speed ?\nOptions: a. 52 kmph., b. 62 kmph., c. 72 kmph., d. 80 kmph., e. none", "output": [ "b" ] }, { "id": "task1678-99df01431bfe4531a82646f47ebc462c", "input": "Problem: the average of 10 numbers is 7. if each number is multiplied by 12, then the average of new set of numbers is\nOptions: a. 28, b. 236, c. 288, d. 84, e. 26", "output": [ "d" ] }, { "id": "task1678-2f70ee24eace4d03895dd275f49748f1", "input": "Problem: a train 500 m long can cross an electric pole in 50 sec and then find the speed of the train ?\nOptions: a. 76 kmph, b. 54 kmph, c. 72 kmph, d. 34 kmph, e. 36 kmph", "output": [ "e" ] }, { "id": "task1678-db138f9f957f4e9ba9836e70ec0158f8", "input": "Problem: the length of a rectangle is increased by 40 % while its width is halved. what is the % change in area ?\nOptions: ['a. 25 %', 'b. 30 %', 'c. 50 %', 'd. 65 %', 'e. 70 %']", "output": [ "b" ] }, { "id": "task1678-23bffc84edc74707ae5b7dd6a57be630", "input": "Problem: if 5 x = 3 y and xy ≠ 0, what is the ratio of 1 / 5 * x to 1 / 6 * y ?\nOptions: a. 25 / 6, b. 36 / 25, c. 18 / 25, d. 5 / 6, e. 25 / 36", "output": [ "c" ] }, { "id": "task1678-d514337b0fd943dfb823d5867c565f5e", "input": "Problem: a family pays $ 800 per year for an insurance plan that pays 70 percent of the first $ 1,000 in expenses and 100 percent of all medical expenses thereafter. in any given year, the total amount paid by the family will equal the amount paid by the plan when the family ' s medical expenses total how much ?\nOptions: a. $ 1,000, b. $ 1,200, c. $ 1,400, d. $ 1,800, e. $ 2,200", "output": [ "c" ] }, { "id": "task1678-4755d80e45794a36b19e229d9e995e4b", "input": "Problem: for every integer n ≥ 3, the function g ( n ) is defined as the product of all the odd integers from 1 to n, inclusive. what is the value of g ( 101 ) – g ( 99 ) ?\nOptions: a. 0, b. 98, c. 99, d. 100, e. 90", "output": [ "d" ] }, { "id": "task1678-9a574650e1ef45f3bbc58994fde70cad", "input": "Problem: two trains of equal length are running on parallel lines in the same directions at 46 km / hr. and 36 km / hr. the faster trains pass the slower train in 72 seconds. the length of each train is :\nOptions: a. 82 m, b. 50 m, c. 72 m, d. 100 m, e. none of these", "output": [ "d" ] }, { "id": "task1678-833d1ab962ac4acdbed7f4073b27dda1", "input": "Problem: a vendor bought toffees at 6 for a rupee. how many for a rupee must he sell to gain 30 % ?\nOptions: a. 1 / 2, b. 2 / 6, c. 3 / 6, d. 9 / 6, e. 15 / 2", "output": [ "e" ] }, { "id": "task1678-6eaae77a48be4d8297f64867a6cf64ea", "input": "Problem: how many seconds will a train 140 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph ?\nOptions: a. 28 sec, b. 29 sec, c. 24 sec, d. 25 sec, e. 26 sec", "output": [ "b" ] }, { "id": "task1678-bb95ddc79b544e33be203e76f155fcd9", "input": "Problem: a man swims downstream 96 km and upstream 64 km taking 4 hours each time; what is the speed of the current ?\nOptions: a. 6, b. 4, c. 2, d. 8, e. 5", "output": [ "b" ] }, { "id": "task1678-e68715ac318c4b5098c4abb5df3f3d5e", "input": "Problem: sophia finished 2323 of a book. she calculated that she finished 90 more pages than she has yet to read. how long is her book ?\nOptions: a. 140, b. 320, c. 745, d. 270, e. 350", "output": [ "d" ] }, { "id": "task1678-26e381b1f1e944fd94844a49609da328", "input": "Problem: on her annual road trip to visit her family in seal beach, california, traci stopped to rest after she traveled 1 ⁄ 3 of the total distance and again after she traveled 1 ⁄ 4 of the distance remaining between her first stop and her destination. she then drove the remaining 300 miles and arrived safely at her destination. what was the total distance, in miles, from traci ’ s starting point to seal beach ?\nOptions: a. 600, b. 300, c. 350, d. 400, e. 550", "output": [ "a" ] }, { "id": "task1678-0ec9a297bcc449eea667a0a8f1da5cbf", "input": "Problem: if 5 x = 6 y and xy ≠ 0, what is the ratio of 1 / 4 * x to 1 / 6 * y ?\nOptions: a. 25 / 6, b. 36 / 25, c. 9 / 5, d. 5 / 6, e. 25 / 36", "output": [ "c" ] }, { "id": "task1678-1c9be7846dfa400896114646fbe87ed1", "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": "task1678-5d534caca64a488293d30ce10f45abde", "input": "Problem: the length of a room is 5.5 m and width is 3.75 m. find the cost of paying the floor by slabs at the rate of rs. 1200 per sq. metre.\nOptions: a. rs. 15,000, b. rs. 24,750, c. rs. 15,600, d. rs. 16,500, e. none", "output": [ "b" ] }, { "id": "task1678-9eaf4299100f4fe69ae4a9e341d6034b", "input": "Problem: a man sitting in a train which is travelling at 80 kmph observes that a goods train, travelling in opposite direction, takes 9 seconds to pass him. if the goods train is 280 m long, find its speed ?\nOptions: a. 52 kmph., b. 62 kmph., c. 72 kmph., d. 80 kmph., e. 32 kmph.", "output": [ "e" ] }, { "id": "task1678-387ab53cf89143ac9e3acfb0389fbdae", "input": "Problem: three pipes, a, b, & c are attached to a tank. a & b can fill it in 20 & 30 minutes respectively while c can empty it in 20 minutes. if a, b & c are kept open successively for 1 minute each, how soon will the tank be filled ?\nOptions: a. 2 hours, b. 4 hours, c. 1 hour 30 min, d. 5 hours, e. 6 hours", "output": [ "c" ] }, { "id": "task1678-94fd5d99443241c78cef0d128c54c1b5", "input": "Problem: how many zeroes are there at the end of the number n, if n = 70 ! + 140 ! ?\nOptions: a. 8, b. 12, c. 16, d. 20, e. 24", "output": [ "c" ] }, { "id": "task1678-24e1fe1b08c5451b872d776c4f389426", "input": "Problem: x can finish a work in 25 days. y can finish the same work in 20 days. y worked for 12 days and left the job. how many days does x alone need to finish the remaining work ?\nOptions: a. 2, b. 5, c. 6, d. 7, e. 8", "output": [ "e" ] }, { "id": "task1678-89567476ec234a2fbb9ccb4a7de76a91", "input": "Problem: a, b and c invested rs. 6000, rs. 7200 and rs. 10800 respectively, in a partnership business. find the share of c in profit of rs. 19000 after a year ?\nOptions: a. 3630, b. 5580, c. 19000, d. 8550, e. 6000", "output": [ "d" ] }, { "id": "task1678-a3ecf3d5d3af46cea2ed61a8e893133d", "input": "Problem: if 15 percent of the students at a certain school went to a camping trip and took more than $ 100, and 75 percent of the students who went to the camping trip did not take more than $ 100, what percentage of the students at the school went to the camping trip ?\nOptions: a. 95, b. 90, c. 85, d. 80, e. 60", "output": [ "e" ] }, { "id": "task1678-eae344531d5b489da02832b6a163f9f8", "input": "Problem: an object thrown directly upward is at a height of h feet after t seconds, where h = - 14 ( t - 3 ) ^ 2 + 150. at what height, in feet, is the object 2 seconds after it reaches its maximum height ?\nOptions: a. 80, b. 88, c. 94, d. 112, e. 124", "output": [ "c" ] }, { "id": "task1678-a3f19bcb4f504781ba1f8a8c9579f897", "input": "Problem: a man spends 2 / 5 of his salary on house rent, 3 / 10 of his salary on food and 1 / 8 of his salary on convenience he has rs. 1400 left with him, find his expenditure on food and conveyance.\nOptions: a. 1000, b. 3000, c. 4000, d. 2000, e. 5000", "output": [ "a" ] }, { "id": "task1678-1150defe69234df080f07d579ba5459b", "input": "Problem: how many cones of radius 4 m, height 2 m can be formed from a cylinder of 12 m radius, 10 m height :\nOptions: ['a. 135', 'b. 125', 'c. 145', 'd. 115', 'e. 155']", "output": [ "a" ] }, { "id": "task1678-2a1d4d24e8ab4b56aa70ce168ba6a875", "input": "Problem: the denominator of a fraction is 7 greater than the numerator. if the numerator and the denominator are increased by 4, the resulting fraction is equal to 5 ⠁ „ 6. what is the value of the original fraction ?\nOptions: a. 23 / 30, b. 25 / 32, c. 31 / 38, d. 37 / 44, e. 47 / 54", "output": [ "c" ] }, { "id": "task1678-70fbe88dbdda4cfcaf6b865d31c87fe9", "input": "Problem: the average of 11 numbers is 500. out of 11 numbers the average of first 6 no. is 50, and last 6 numbers is 60 then find 6 th number ?\nOptions: a. 95, b. 80, c. 110, d. 120, e. 72", "output": [ "c" ] }, { "id": "task1678-b3e2e4fef6d74a2a9595524e30de8e34", "input": "Problem: 70 is increased by 50 %. find the final number.\nOptions: a. 100, b. 110, c. 105, d. 30, e. 160", "output": [ "c" ] }, { "id": "task1678-afd3aa8cd238486fb6115df7ae602eb4", "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": "task1678-aef11936f0594465b6f3a166f18c0cb1", "input": "Problem: martha has the unique talent of being able to guess other people ’ s height and weight. for every 6 people that martha meets, she consistently guesses the people ’ s correct height 5 times, and for every 8 people that she meets, she consistently guesses the people ’ s correct weight 6 times. if martha meets 3 people and her success rate remains constant, what is the probability that martha correctly guesses a person ’ s weight and height at least once ?\nOptions: a. 8 / 27, b. 2 / 5, c. 485 / 512, d. 98 / 125, e. 625 / 952", "output": [ "c" ] }, { "id": "task1678-25a40187937f495d81af111b092e1314", "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": "task1678-4e6706f244694787a7dae0e314c4bbf3", "input": "Problem: ages of two persons differ by 20 years. if 6 year ago, the elder one be 3 times as old the younger one, find their present age\nOptions: a. 12,28, b. 14,30, c. 16,36, d. 18,34, e. 19,34", "output": [ "c" ] }, { "id": "task1678-8a70f91a16e241c7943f2e338be0bd76", "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": "task1678-f01ac00c039644e7928125757a1697cd", "input": "Problem: a bowl was filled with 10 ounces of water, and 0.004 ounce of the water evaporated each day during a 50 - day period. what percent of the original amount of water evaporated during this period ?\nOptions: a. 0.004 %, b. 0.04 %, c. 0.40 %, d. 2 %, e. 40 %", "output": [ "d" ] }, { "id": "task1678-5806e13b0e0c4fe49ed1d6699e8a97bf", "input": "Problem: of the families in city x in 1994, 35 percent owned a personal computer. the number of families in city x owning a computer in 1998 was 20 percent greater than it was in 1994, and the total number of families in city x was 4 percent greater in 1998 than it was in 1994. what percent of the families in city x owned a personal computer in 1998 ?\nOptions: a. 50.12 %, b. 40.52 %, c. 40.56 %, d. 40.38 %, e. 40.14 %", "output": [ "d" ] }, { "id": "task1678-d3a3e0bbf8ce45fe99e16f50016d91b0", "input": "Problem: the surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 12 cm each. the radius of the sphere is\nOptions: a. 3 cm, b. 4 cm, c. 6 cm, d. 8 cm, e. none", "output": [ "c" ] }, { "id": "task1678-ffd3ff91ac944d07a7b4736bda841069", "input": "Problem: the area of a parallelogram is 72 sq m and its base is 12 m. then the length of the height is ?\nOptions: a. 6 m, b. 7 m, c. 60 m, d. 13 m, e. none", "output": [ "a" ] }, { "id": "task1678-d4363296768c4d6db592210ee15635bc", "input": "Problem: a fort had provision of food for 150 men for 45 days. after 15 days, 10 men left the fort. the number of days for which the remaining food will last, is :\nOptions: a. 32, b. 37 1 / 4, c. 42, d. 54, e. 45", "output": [ "a" ] }, { "id": "task1678-c5a2fa884b1a4511abd7352595819910", "input": "Problem: the sum of the ages of 5 children born at the intervals of 3 year each is 60 year. what is the age of the youngest child ?\nOptions: a. 4 year, b. 6 year, c. 10 year, d. none of these, e. 9 year", "output": [ "b" ] }, { "id": "task1678-5fcf73b592a8484f8ad59f16b2fc5246", "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": "task1678-6d23a0b84163499490bbc4e714d50420", "input": "Problem: maths, physics and chemistry books are stored on a library shelf that can accommodate 25 books. currently, 20 % of the shelf spots remain empty. there are twice as many maths books as physics books and the number of physics books is 4 greater than that of chemistry books. among all the books, 12 books are soft cover and the remaining are hard - cover. if there are a total of 7 hard - cover books among the maths and physics books. what is the probability q, that a book selected at random is either a hard cover book or a chemistry book ?\nOptions: a. 1 / 10, b. 3 / 20, c. 1 / 5, d. 1 / 4, e. 9 / 20", "output": [ "e" ] }, { "id": "task1678-27bd3c93fa1c4fe2a80536f78f9c6994", "input": "Problem: a man started driving at a constant speed, from the site of a blast, the moment he heard the blast. he heard a second blast after a time of 30 mins and 15 seconds. if the second blast occurred exactly 30 mins after the first, how many meters was he from the site when he heard the second blast ? ( speed of sound = 330 m / s )\nOptions: a. 1650, b. 2750, c. 3850, d. 4950, e. 6050", "output": [ "d" ] }, { "id": "task1678-63e9496afc4f4df18ef1c9f9508e0818", "input": "Problem: eddy and freddy start simultaneously from city a and they travel to city b and city c respectively. eddy takes 3 hours and freddy takes 4 hours to complete the journey. if the distance between city a and city b is 510 kms and city a and city c is 300 kms. what is the ratio of their average speed of travel ? ( eddy: freddy )\nOptions: a. 8 / 3, b. 3 / 8, c. 8 / 5, d. 5 / 8, e. 34 / 15", "output": [ "e" ] }, { "id": "task1678-2941966524e844689a07195b321faefb", "input": "Problem: two brothers ram and ravi appeared for an exam. the probability of selection of ram is 4 / 7 and that of ravi is 1 / 5. find the probability that both of them are selected.\nOptions: a. 4 / 35, b. 2 / 3, c. 7 / 35, d. 5 / 7, e. 7 / 5", "output": [ "a" ] }, { "id": "task1678-6438b825e72949388476a697cafae720", "input": "Problem: the cross - section of a cannel is a trapezium in shape. if the cannel is 12 m wide at the top and 2 m wide at the bottom and the area of cross - section is 4200 sq m, the depth of cannel is ?\nOptions: a. 500, b. 600, c. 700, d. 800, e. 900", "output": [ "b" ] }, { "id": "task1678-f0871695197f411d9ab0de2486d4dd91", "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": "task1678-e350d68bd3c84c279b26d1a2b9d2ca2c", "input": "Problem: how many seconds will a train 120 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph ?\nOptions: a. 17 sec, b. 21 sec, c. 25 sec, d. 27 sec, e. 29 sec", "output": [ "d" ] }, { "id": "task1678-29cabae8b31349aeb2c710a878e7a4ce", "input": "Problem: 3 / 4 of a number is 19 less than the original number. the number is ?\nOptions: a. 84, b. 64, c. 76, d. 72, e. none", "output": [ "c" ] }, { "id": "task1678-2b4886c113d541a584c5f285feeae25b", "input": "Problem: the cost price of 40 articles is the same as the selling price of x articles. if the profit is 25 %, what is x ?\nOptions: a. 26, b. 28, c. 30, d. 32, e. 34", "output": [ "d" ] }, { "id": "task1678-228cfb2049c44d8f81f15cee88f25c2a", "input": "Problem: a man can row 6 kmph in still water. when the river is running at 3 kmph, it takes him 1 hour to row to a place and black. what is the total distance traveled by the man ?\nOptions: a. 5.75, b. 4.5, c. 5.76, d. 5.74, e. 5.71", "output": [ "b" ] }, { "id": "task1678-556d9757a85548fcad6ae93a9a40f789", "input": "Problem: the interest on a certain deposit at 4.5 % p. a. is rs. 202.50 in one year. how much will the additional interest in one year be on the same deposit at 5 % p. a ?\nOptions: a. rs. 20.25, b. rs. 22.50, c. rs. 25, d. rs. 42.75, e. none", "output": [ "b" ] }, { "id": "task1678-941c346c1e294f9ca9170be54bef32f2", "input": "Problem: ( ( - 1.9 ) ( 0.6 ) – ( 2.6 ) ( 1.2 ) ) / 5.0 = ?\nOptions: a. - 0.852, b. 1.0, c. 1.07, d. 1.71, e. 2.71", "output": [ "a" ] }, { "id": "task1678-86436fc7cf844efba718704a93966cab", "input": "Problem: what is the remainder when 12987 ^ ( 65987036 ) is divided by 5 ?\nOptions: a. 0, b. 1, c. 2, d. 3, e. 4", "output": [ "b" ] }, { "id": "task1678-94b4415517be449485d1e5cfcb11052b", "input": "Problem: if the wheel is 12 cm then the number of revolutions to cover a distance of 1056 cm is ?\nOptions: a. 18, b. 26, c. 14, d. 12, e. 91", "output": [ "c" ] }, { "id": "task1678-18b1f9d13a6640538f955d772d07ba98", "input": "Problem: if the length and breadth of a rectangular room are each increased by 1 m, then the area of floor is increased by 21 sq. m. if the length is creased by 1 m and breadth is decreased by 1 m, then the area is decreased by 5 sq. m. the perimeter of the floor is :\nOptions: ['a. 27', 'b. 35', 'c. 40', 'd. 49', 'e. 38']", "output": [ "c" ] }, { "id": "task1678-72a9e5094c5846f4bfc4e1bc4ad6e452", "input": "Problem: a car is 15 minutes late by running at a speed of 4 / 5 th of its actual speed. the actual time taken by the car to cover that distance is :\nOptions: a. 30 minutes, b. 1 hour, c. 2 hours, d. 3 hours, e. none of these", "output": [ "b" ] }, { "id": "task1678-df0110394dbe42bfa93ca61a07cf20b3", "input": "Problem: the average runs scored by a batsman in 20 matches is 40. in the next 10 matches the batsman scored an average of 30 runs. find his average in all the 30 matches ?\nOptions: a. 31, b. 36.67, c. 88, d. 13, e. 12", "output": [ "b" ] }, { "id": "task1678-b3e474e329e949dcb11bc17ca056792b", "input": "Problem: the maitre ' d at an expensive manhattan restaurant has noticed that 60 % of the couples order dessert and coffee. however, 20 % of the couples who order dessert do n ' t order coffee. what is the probability t that the next couple the maitre ' d seats will not order dessert ?\nOptions: a. 20 %, b. 25 %, c. 40 %, d. 60 %, e. 75 %", "output": [ "b" ] }, { "id": "task1678-08279ec032ca48ee9c470190a5e48fd0", "input": "Problem: anne bought doughnuts for a class breakfast party. she bought 6 chocolate doughnuts, 8 coconut doughnuts, and 8 jam - filled doughnuts. how many doughnuts did anne buy in all ?\nOptions: a. 22, b. 36, c. 39, d. 21, e. 11", "output": [ "a" ] }, { "id": "task1678-7afbda235788473190b01034bfa291ba", "input": "Problem: i sold a book at a profit of 10 %. had i sold it for $ 110 more, 15 % would have been gained. find the cost price ?\nOptions: a. $ 2000, b. $ 2200, c. $ 3000, d. $ 3120, e. $ 1540", "output": [ "b" ] }, { "id": "task1678-43db7ba534ee4fda9f7f37d3ccb7f9f2", "input": "Problem: find the perimeter and area of the rectangle of length 19 cm and breadth 13 cm.\nOptions: a. 71 cm 2, b. 121 cm 2, c. 141 cm 2, d. 171 cm 2, e. 247 cm 2", "output": [ "e" ] }, { "id": "task1678-61c8514b5c6a4e9baa1875d7ff0e5e4e", "input": "Problem: 90 % of the population of a village is 36000. the total population of the village is ?\nOptions: a. 26799, b. 24000, c. 26682, d. 29973, e. 40000", "output": [ "e" ] }, { "id": "task1678-cc4f58504aa741d597148c7105d61760", "input": "Problem: ( ( - 1.9 ) ( 0.6 ) – ( 2.6 ) ( 1.2 ) ) / 2.0 = ?\nOptions: a. - 0.71, b. - 2.13, c. 1.07, d. 1.71, e. 2.71", "output": [ "b" ] }, { "id": "task1678-2ee7cd564d5349708810f39b5610ca69", "input": "Problem: the probability that a number selected at random from the first 50 natural numbers is a composite number is\nOptions: a. 17 / 26, b. 17 / 25, c. 17 / 20, d. 17 / 22, e. 17 / 21", "output": [ "b" ] }, { "id": "task1678-2672555fa72e46e6a1aa19378122970d", "input": "Problem: a retailer buys 80 pens at the market price of 36 pens from a wholesaler, if he sells these pens giving a discount of 1 %, what is the profit % ?\nOptions: a. 110, b. 115, c. 112, d. 118, e. 120", "output": [ "e" ] }, { "id": "task1678-634ffd1e85dc4543b163576a6f4571cd", "input": "Problem: if there are only 2 wheelers and 4 wheelers parked in a school located at the heart of the city, find the number of 4 wheelers parked there if the total number of wheels is 66 ?\nOptions: a. 11, b. 12, c. 13, d. 16, e. 17", "output": [ "d" ] }, { "id": "task1678-6c06845c99324576be5ed8211b0d537a", "input": "Problem: a train running at the speed of 27 km / hr crosses a post in 20 seconds. what is the length of the train ?\nOptions: a. 200, b. 150, c. 300, d. 175, e. 250", "output": [ "b" ] }, { "id": "task1678-53f49d7348f14d41a1ed87a20b5dc067", "input": "Problem: what is the rate percent when the simple interest on rs. 800 amount to rs. 128 in 4 years ?\nOptions: a. 5 %, b. 3 %, c. 4 %, d. 9 %, e. 1 %", "output": [ "c" ] }, { "id": "task1678-62654c8070b847b98180fd310e2c5cec", "input": "Problem: a restaurant spends one quarter of its monthly budget for rent and half of the rest for food and beverages. what percentage of the budget does the restaurant spend for food and beverages ?\nOptions: a. 23.5 %, b. 32.5 %, c. 35 %, d. 37.5 %, e. 75 %", "output": [ "d" ] }, { "id": "task1678-cb19b7a2ba844009b2f210fdabc01f8b", "input": "Problem: if a is a positive integer, and if the units digit of a ^ 2 is 4 and the units digit of ( a + 1 ) ^ 2 is 1, what is the units digit of ( a + 2 ) ^ 2 ?\nOptions: a. 0, b. 2, c. 4, d. 6, e. 8", "output": [ "a" ] }, { "id": "task1678-1bd54cd3e3f94377a1b3cb1b5c31c670", "input": "Problem: the ratio of the volumes of two cubes is 125: 512. what is the ratio of their total surface areas ?\nOptions: a. 81: 121, b. 25: 64, c. 729: 1331, d. 27: 121, e. none of these", "output": [ "b" ] }, { "id": "task1678-2a8ce0c7c57a4aee9ad20fb21ddf9e55", "input": "Problem: an error 1 % in excess is made while measuring the side of a square. the percentage of error in the calculated area of the square is :\nOptions: a. 2.01, b. 30.1, c. 3.01, d. 25.01, e. 4.05", "output": [ "a" ] }, { "id": "task1678-3a88c9ba2123468bb18612777d0f8743", "input": "Problem: george went to a fruit market with certain amount of money. with this money he can buy either 40 oranges or 40 mangoes. he retains 10 % of the money for taxi fare and buys 20 mangoes. how many oranges can he buy ?\nOptions: a. 25, b. 30, c. 20, d. 16, e. 12", "output": [ "a" ] }, { "id": "task1678-bb6a0a28057b4c5c89b718ddbed3215c", "input": "Problem: the average mark of the students of a class in a particular exam is 80. if 5 students whose average mark in that exam is 60 are excluded, the average mark of the remaining will be 90. find the number of students who wrote the exam.\nOptions: a. 22, b. 27, c. 15, d. 99, e. 21", "output": [ "c" ] }, { "id": "task1678-07aefb189d3249c299cc54f5df11b522", "input": "Problem: ann and bob drive separately to a meeting. ann ' s average driving speed is greater than bob ' s avergae driving speed by one - third of bob ' s average driving speed, and ann drives twice as many miles as bob. what is the ratio w of the number of hours ann spends driving to the meeting to the number of hours bob spends driving to the meeting ?\nOptions: a. 8: 3, b. 3: 2, c. 4: 3, d. 2: 3, e. 3: 8", "output": [ "b" ] }, { "id": "task1678-5b6012985bd847ab973a21fa4140ea2d", "input": "Problem: if a is a positive integer, and if the units digit of a ^ 2 is 9 and the units digit of ( a + 1 ) ^ 2 is 4, what is the units u digit of ( a + 2 ) ^ 2 ?\nOptions: a. 1, b. 3, c. 5, d. 6, e. c. 14", "output": [ "a" ] }, { "id": "task1678-e61bdda0cc6148ee994e14d416b291f5", "input": "Problem: find the value of 72515 x 9999 = m ?\nOptions: a. 345434667, b. 246465757, c. 465767867, d. 725077485, e. 645354643", "output": [ "d" ] }, { "id": "task1678-811fc687886d446eaed0b78203951f6d", "input": "Problem: a can give b 50 meters start and c 200 meters start in a kilometer race. how much start can b give c in a kilometer race ?\nOptions: a. 157.89, b. 157.13, c. 157.22, d. 111.0, e. 111.12", "output": [ "a" ] }, { "id": "task1678-a18fe51ddc644be18376d51632ec4ea8", "input": "Problem: the present population of a town is 1240. population increase rate is 4 % p. a. find the population of town after 1 years ?\nOptions: a. 990, b. 1215, c. 1345, d. 1142, e. 1290", "output": [ "e" ] }, { "id": "task1678-c38b7677a1be4ef28f2939cb192ce30c", "input": "Problem: sandy bought 65 books for $ 1080 from one shop and 55 books for $ 840 from another shop. what is the average price that sandy paid per book ?\nOptions: a. $ 14, b. $ 16, c. $ 18, d. $ 20, e. $ 22", "output": [ "b" ] }, { "id": "task1678-0d54edc65d1b4cf6b77664e9f472fac6", "input": "Problem: a merchant marks goods up by 80 % and then offers a discount on the marked price. the profit that the merchant makes after offering the discount is 35 %. what % discount did the merchant offer ?\nOptions: a. 20 %, b. 25 %, c. 30 %, d. 35 %, e. 40 %", "output": [ "b" ] }, { "id": "task1678-63fabb5ef90b4240b767cf97f3175a10", "input": "Problem: the average height of 20 students in a class was calculated as 175 cm. it has later found that the height of one of the students in the class was incorrectly written as 151 cm whereas the actual height was 136 cm. what was the actual average height of the students in the class ?\nOptions: a. 174.75 cm, b. 174.25 cm, c. 173.75 cm, d. 173.25 cm, e. 172.75 cm", "output": [ "b" ] }, { "id": "task1678-ef3d1af02274453dad3c06508922fa54", "input": "Problem: the cost price of a radio is rs. 3300 and it was sold for rs. 1230, find the loss % ?\nOptions: a. 62.7 %, b. 65 %, c. 88 %, d. 65 %, e. 62 %", "output": [ "a" ] }, { "id": "task1678-1a2ac294656e4a5d825996e3bffb2733", "input": "Problem: at what rate percent per annum will the simple interest on a sum of money be 3 / 5 of the amount in 10 years ?\nOptions: a. 6 %, b. 7 %, c. 9 %, d. 3 %, e. 1 %", "output": [ "a" ] }, { "id": "task1678-9777f1b7cfa2440c8521d828b0f05770", "input": "Problem: ( 3220 + 6160 ) / 28\nOptions: a. 380, b. 350, c. 335, d. 310, e. none of these", "output": [ "c" ] }, { "id": "task1678-bbf16b48d811410589e6ab0af68fedf3", "input": "Problem: working simultaneously and independently at an identical constant rate, 5 machines of a certain type can produce a total of x units of product p in 4 days. how many of these machines, working simultaneously and independently at this constant rate, can produce a total of 2 x units of product p in 2 days ?\nOptions: a. 11, b. 13, c. 15, d. 18, e. 20", "output": [ "e" ] }, { "id": "task1678-b1e110e51eea436c8d34f1e2588bdeae", "input": "Problem: heinz produces tomato puree by boiling tomato juice. the tomato puree has only 20 % water while the tomato juice has 90 % water. how many litres of tomato puree will be obtained from 20 litres of tomato juice ?\nOptions: a. 2 litres, b. 2.4 litres, c. 2.5 litres, d. 6 litres, e. 4 litres", "output": [ "c" ] }, { "id": "task1678-13ea7210d4f24eb7bb816f092eb4185d", "input": "Problem: if a speaks the truth 40 % of the times, b speaks the truth 80 % of the times. what is the probability that at least one will tell the truth\nOptions: a. 0.18, b. 0.12, c. 1.02, d. 1.2, e. 1.3", "output": [ "b" ] }, { "id": "task1678-ed9c9fb328b1400db7ca44aa9cd53204", "input": "Problem: a seller of used cars has 12 cars to sell and each of his clients selected 4 cars that he liked most. if each car was selected exactly thrice, how many clients visited the garage ?\nOptions: a. 9, b. 10, c. 12, d. 14, e. 16", "output": [ "a" ] }, { "id": "task1678-5d8c3aa969e84d03b71835f9be400de8", "input": "Problem: the length of a rectangular landscape is 3 times its breadth. there is a playground in it whose area is 1600 square mtr & which is 1 / 3 rd of the total landscape. what is the length of the landscape ?\nOptions: a. 90, b. 160, c. 150, d. 120, e. 140", "output": [ "c" ] }, { "id": "task1678-dfcbf9ae115e41acb57861d7d6a69031", "input": "Problem: set a contains all the even numbers between 2 and 50 inclusive. set b contains all the even numbers between 62 and 110 inclusive. what is the difference between the sum of elements of set b and the sum of the elements of set a ?\nOptions: a. 1500, b. 3100, c. 4400, d. 6200, e. 7400", "output": [ "a" ] }, { "id": "task1678-332ae656008040859e54a46f794fe5d8", "input": "Problem: the cost price of 20 articles is the same as the selling price of x articles. if the profit is 25 %, then the value of x is :\nOptions: a. 15, b. 16, c. 18, d. 25, e. 27", "output": [ "b" ] }, { "id": "task1678-da9275cd195d4a30b2aed755d7381059", "input": "Problem: the ratio of male to female in a class is 2: 3. the career preference of the students in the class are to be represented in a circle graph. if the area of the graph allocated to each career preference is to be proportional to the number of students who have that career preference, how many degrees of the circle should be used to represent a career that is preferred by one fourth of the males and 3 / 4 th of the females in the class ?\nOptions: ['a. a. 160 degree', 'b. b. 198 degree', 'c. c. 191 degree', 'd. d. 192 degree', 'e. e. 204 degree']", "output": [ "b" ] }, { "id": "task1678-776fb780e518451c892fedbfeee69de7", "input": "Problem: at what price must an article costing rs. 47.50 be marked in order that after deducting 20 % from the list price. it may be sold at a profit of 25 % on the cost price ?\nOptions: a. 62.5, b. 62.3, c. 62.7, d. 74.2, e. 62.9", "output": [ "d" ] }, { "id": "task1678-43aeb7a367aa4f21ad2bf69673df2bb9", "input": "Problem: a mail handler needs 3 hours to sort the mail. his assistant takes 6 hours to sort the mail. how many hours will it take for both of them working together to sort the mail ?\nOptions: a. 3, b. 2, c. 1, d. 2 1 / 2, e. 1 1 / 5", "output": [ "b" ] }, { "id": "task1678-68b7fba29dea459c9bde9738b988e0f2", "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": "task1678-27ae12364dac4ec3a6c19b10db811719", "input": "Problem: if it is assumed that 60 percent of those who receive a questionnaire by mail will respond and 240 responses are needed, what is the minimum number of questionnaires that should be mailed ?\nOptions: a. 400, b. 500, c. 600, d. 700, e. 800", "output": [ "a" ] }, { "id": "task1678-887051f73fe64aa9958167dbc778bad8", "input": "Problem: the average of first five multiples of 7 is :\nOptions: a. 9, b. 16, c. 15, d. 8, e. 21", "output": [ "e" ] }, { "id": "task1678-7f5be0a7e52b4844bf9675fa78d197f0", "input": "Problem: a does half as much work as b in 3 - fourth of the time. if together they take 18 days to complete the work, how much time shall b take to do it ?\nOptions: a. 30 days, b. 35 days, c. 40 days, d. 45 days, e. 50 days", "output": [ "a" ] }, { "id": "task1678-48a7b68a804943c39f1831bd3ab4c1d0", "input": "Problem: a certain sum of money is divided among a, b and c so that for each rs. a has, b has 65 paisa and c 40 paisa. if c ' s share is rs. 56, find the sum of money ?\nOptions: a. 288, b. 287, c. 72, d. 205, e. 267", "output": [ "b" ] }, { "id": "task1678-165bfa8fd66f45f39930de03adfc0529", "input": "Problem: in what time will a train 80 m long cross an electric pole, it its speed be 144 km / hr ?\nOptions: a. 2.0 sec, b. 2.8 sec, c. 7.5 sec, d. 2.3 sec, e. 1.5 sec", "output": [ "a" ] }, { "id": "task1678-4c45cf9e2e664836ac69a2fe14cc255d", "input": "Problem: john purchased 1375 large bottles at $ 1.75 per bottle and 690 small bottles at $ 1.35 per bottle. what was the approximate average price paid per bottle ?\nOptions: a. $ 1.62, b. $ 1.64, c. $ 1.68, d. $ 1.72, e. $ 1.76", "output": [ "a" ] }, { "id": "task1678-4920e71f8f754393ae789f25de5340f5", "input": "Problem: an investor deposited $ 5,000 to open a new savings account that earned 8 percent annual interest, compounded quarterly. if there were no other transactions in the account, what was the amount of money in the account 6 months after the account was opened ?\nOptions: a. $ 5050, b. $ 5101, c. $ 5202, d. $ 5303, e. $ 5404", "output": [ "c" ] }, { "id": "task1678-91e03f5f905e4b62bec1f9eb21ac5b20", "input": "Problem: 1, 8, 27, 64,...\nOptions: a. 25, b. 48, c. 59, d. 63, e. 125", "output": [ "e" ] }, { "id": "task1678-944eaa89a6a04785ae44892427e06b57", "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": "task1678-c45155721d2644d5b180d13413c78272", "input": "Problem: john makes $ 60 a week from his job. he earns a raise and now makes $ 90 a week. what is the % increase ?\nOptions: a. 16 %, b. 50 %, c. 17 %, d. 17.61 %, e. 17.56 %", "output": [ "b" ] }, { "id": "task1678-360e5a7b6aaf4d8994e567485b7375d9", "input": "Problem: a rope of which a calf is tied is increased from 12 m to 23 m, how much additional grassy ground shall it graze ?\nOptions: a. 2989, b. 2789, c. 1210, d. 1288, e. 1211", "output": [ "c" ] }, { "id": "task1678-a3d9e0fa6ee24335adffcc058776535f", "input": "Problem: x can finish a work in 21 days. y can finish the same work in 15 days. yworked for 10 days and left the job. how many days does x alone need to finish the remaining work ?\nOptions: a. 3, b. 5, c. 7, d. 8, e. 9", "output": [ "c" ] }, { "id": "task1678-876f2646b062408ea266d66b7ed207c0", "input": "Problem: a sells a bicycle to b and makes a profit of 25 %. b sells the same bicycle to c at a profit of 50 %. if the final s. p. of the bicycle was rs. 225, find out the cost price of the bicycle for a.\nOptions: a. 237, b. 126, c. 971, d. 611, e. 120", "output": [ "e" ] }, { "id": "task1678-25dceff84c5a4de388974064863310f0", "input": "Problem: two trains of equal are running on parallel lines in the same direction at 18 km / hr and 36 km / hr. the faster train passes the slower train in 36 sec. the length of each train is ?\nOptions: a. 25, b. 26, c. 27, d. 28, e. 21", "output": [ "a" ] }, { "id": "task1678-f72e50693f264b7fb6dd73bbaf3f025c", "input": "Problem: the average marks of a class of 12 students is 40 and that of another class of 28 students is 60. find the average marks of all the students ?\nOptions: a. 52.2, b. 59.5, c. 52.8, d. 52.5, e. 54.0", "output": [ "e" ] }, { "id": "task1678-2bb0448eb33842be838bfea9f79898c6", "input": "Problem: if 10 gallons of grape juice are added to 40 gallons of a mixture, which contains 20 percent grape juice then what percent of the resulting mixture is grape juice ?\nOptions: a. 14 %, b. 25 %, c. 28 %, d. 36 %, e. 50 %", "output": [ "d" ] }, { "id": "task1678-2022673b0c644cfba9351fd92923c9a4", "input": "Problem: a shopkeeper has 280 kg of apples. he sells 85 % of these at 20 % profit and remaining 60 % at 30 % profit. find his % profit on total.\nOptions: a. 24 %, b. 25 %, c. 26 %, d. 28 %, e. 35 %", "output": [ "e" ] }, { "id": "task1678-34e57cb1164f4f2f94b8568d914ea772", "input": "Problem: 15 men take 21 days of 8 hrs. each to do a piece of work. how many days of 5 hrs. each would it take for 21 women if 3 women do as much work as 2 men ?\nOptions: a. 30, b. 20, c. 16, d. 26, e. 36", "output": [ "e" ] }, { "id": "task1678-e381940682884ba69ff010283c900f0b", "input": "Problem: ann and bob drive separately to a meeting. ann ' s average driving speed is greater than bob ' s avergae driving speed by one - third of bob ' s average driving speed, and ann drives twice as many miles as bob. what is the ratio e of the number of hours ann spends driving to the meeting to the number of hours bob spends driving to the meeting ?\nOptions: a. 8: 3, b. 3: 2, c. 4: 3, d. 2: 3, e. 3: 8", "output": [ "b" ] }, { "id": "task1678-673dec8dc7314f19b9545613f4d94ea4", "input": "Problem: as a treat for her two crying children, a mother runs to the freezer in which she has 4 cherry ice pops, 3 orange ice pops, and 4 lemon - lime ice pops. if she chooses two at random to bring outside to the children, but realizes as she runs out the door that she can not bring them different flavors without one invariably being jealous of the other and getting even more upset, what is the probability that she has to return to the freezer to make sure that they each receive the same flavor ?\nOptions: a. 1 / 99, b. 1 / 6, c. 5 / 18, d. 13 / 18, e. 5 / 6", "output": [ "a" ] }, { "id": "task1678-80e9011c508247f5bc9e75cc20de35c4", "input": "Problem: a and b together can complete a work in 12 days. a alone complete it in 20 days. if b does the work only for half a day daily, then in how many days a and b together will complete the work ?\nOptions: a. 110 days, b. 11 days, c. 15 days, d. 20 days, e. 17 days", "output": [ "c" ] }, { "id": "task1678-aa219815c53f4188ad928c3c3644e010", "input": "Problem: in a fuel station the service costs $ 1.65 per car, every liter of fuel costs 0.65 $. assuming that a company owns 12 cars and that every fuel tank contains 55 liters and they are all empty, how much money total will it cost to fuel all cars ?\nOptions: a. 320 $, b. 380 $, c. 420 $, d. 448.8 $, e. 480 $", "output": [ "d" ] }, { "id": "task1678-0fdaa3848cf6485dbb6bdf65a187732e", "input": "Problem: a certain rectangular crate measures 6 feet by 8 feet by 10 feet. a cylindrical gas tank is to be made for shipment in the crate and will stand upright when the crate is placed on one of its six faces. what should the radius of the tank be if it is to be of the largest possible volume ?\nOptions: a. 4, b. 4, c. 6, d. 8, e. 10", "output": [ "b" ] }, { "id": "task1678-566d6fe720534c9eb2e45d7a4c3b152f", "input": "Problem: the lenght of a room is 5.5 m and width is 4 m. find the cost of paving the floor by slabs at the rate of rs. 950 per sq. metre.\nOptions: a. s. 20,550, b. s. 15,600, c. s. 20,900, d. s. 17,600, e. s. 17,900", "output": [ "c" ] }, { "id": "task1678-5ec391aa86c446feaa2450625353734a", "input": "Problem: the function f ( n ) is defined as the product of all the consecutive positive integers between 3 and n ^ 2, inclusive, whereas the function g ( n ) is defined as the product of the squares of all the consecutive positive integers between 1 and n, inclusive. the exponent on 2 in the prime factorization of f ( 3 ) / g ( 3 ) is\nOptions: a. 1, b. 2, c. 3, d. 4, e. 5", "output": [ "c" ] }, { "id": "task1678-ee79982d80054fc2a50319b77ce4697d", "input": "Problem: how long does a train 110 m long running at the speed of 72 km / hr takes to cross a bridge 136 m length ?\nOptions: a. 82.1 sec., b. 12.3 sec, c. 19.1 sec., d. 17.1 sec., e. 42.1 sec.", "output": [ "b" ] }, { "id": "task1678-751393c6ba8043e0a9ee8ad51a44b743", "input": "Problem: by approximately what percent is x greater than 5 / 11 if ( 4 / 11 ) ( x ) = 1 ?\nOptions: a. 730 %, b. 560 %, c. 410 %, d. 505 %, e. 209 %", "output": [ "d" ] }, { "id": "task1678-856d3938b46b491c8297654fa2432cab", "input": "Problem: two mba admissions committees are to be formed randomly from 6 second year mbas with 3 members each. what is the probability that jane will be on the same committee as albert ?\nOptions: a. 12 %, b. 20 %, c. 33 %, d. 40 %, e. 50 %", "output": [ "d" ] }, { "id": "task1678-fc7b64e7241241d4902a503d4ba8f566", "input": "Problem: a group of 7 teenagers recently visited the japanese restaurant. the total bill for the meal, including 20 % gratuity, came to $ 840. on average, how much did the meal of each individual cost before gratuity ?\nOptions: a. $ 160, b. $ 96, c. $ 90, d. $ 10, e. $ 55", "output": [ "d" ] }, { "id": "task1678-966b579f321a468c8fe2d13f43cb6082", "input": "Problem: a particular library has 75 books in a special collection, all of which were in the library at the beginning of the month. these book are occasionally loaned out through an inter - library program. if, by the end of the month, 65 percent of books that were loaned out are returned and there are 68 books in the special collection at that time, how many books of the special collection were loaned out during that month ?\nOptions: a. 20, b. 30, c. 35, d. 40, e. 55", "output": [ "a" ] }, { "id": "task1678-c5ee3ef35fc74dac95a185217e0d6569", "input": "Problem: a shopkeeper forced to sell at cost price, uses a 950 grams weight for a kilogram. what is his gain percent ?\nOptions: a. 10 %, b. 9 %, c. 11.11 %, d. 5.26 %, e. none of these", "output": [ "d" ] }, { "id": "task1678-49c732a4769840158f2d541fb2a37afa", "input": "Problem: if 7 ^ q is a factor of the product of the integers from 1 to 100, inclusive, what is the largest value of q ?\nOptions: a. 12, b. 13, c. 14, d. 15, e. 16", "output": [ "e" ] }, { "id": "task1678-bb9a368939d84280b698d501221dc161", "input": "Problem: susan drove an average speed of 30 miles per hour for the first 60 miles of a tripthen at a average speed of 60 miles / hr for the remaining 30 miles of the trip if she made no stops during the trip what was susan ' s avg speed in miles / hr for the entire trip\nOptions: a. 35, b. 36, c. 45, d. 50, e. 55", "output": [ "b" ] }, { "id": "task1678-31776431d43e4c02a694c68e43c89832", "input": "Problem: a 415 m long train is running at 63 km / hr. in how much time will it cross a tunnel 285 m long ?\nOptions: a. 25, b. 35, c. 45, d. 60, e. 40", "output": [ "e" ] }, { "id": "task1678-382ac66b98834181bba39e5b29154c95", "input": "Problem: the bankers discount of a certain sum of money is rs. 288 and the true discount on the same sum for the same time is rs. 240. the sum due is :\nOptions: a. 1400, b. 1420, c. 1440, d. 1460, e. 1480", "output": [ "c" ] }, { "id": "task1678-bc6758c177a14066863bd81570114a85", "input": "Problem: a shopkeeper sold an article offering a discount of 4 % and earned a profit of 32 %. what would have been the percentage of profit earned if no discount was offered ?\nOptions: a. 24.5, b. 28.5, c. 30.5, d. 32.5, e. 37.5", "output": [ "e" ] }, { "id": "task1678-dcbb91d744a14ef7a521322d9b43dd48", "input": "Problem: the volume of the sphere qq is ( dfrac { 37 } { 64 } % ) less than the volume of sphere pp and the volume of sphere rr is ( dfrac { 19 } { 27 } % ) less than that of sphere qq. by what is the surface areaof sphere rr less than the surfacearea of sphere pp ?\nOptions: ['a. 50 %', 'b. 60 %', 'c. 75 %', 'd. 80 %', 'e. 89 %']", "output": [ "c" ] }, { "id": "task1678-bf72948f16db45ad99e341c3ccb7eeb4", "input": "Problem: what will be the cost of gardening 1 meter boundary around a rectangular plot having perimeter of 340 meters at the rate of rs. 10 per square meter ?\nOptions: ['a. rs. 3430', 'b. rs. 3440', 'c. rs. 3450', 'd. rs. 3460', 'e. rs. 3490']", "output": [ "b" ] }, { "id": "task1678-7128995d64194055818a245918ed3f73", "input": "Problem: a can do a piece of work in 15 days. a does the work for 5 days only and leaves the job. b does the remaining work in 18 days. in how many days b alone can do the work ?\nOptions: a. 5 days, b. 7 days, c. 27 days, d. 9 days, e. 10 days", "output": [ "c" ] }, { "id": "task1678-cfacb55d33d7493bbd4099aee316d5b8", "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": "task1678-0d5e30eaa0004416b36208aa6fc5ce3a", "input": "Problem: by investing in 1623 % stock at 64, one earns rs. 1800. the investment made is\nOptions: a. s. 6500, b. s. 7500, c. s. 5640, d. s. 5760, e. s. 6912", "output": [ "e" ] }, { "id": "task1678-af36073367c949aea366a20a09643245", "input": "Problem: arun purchased 30 kg of wheat at the rate of rs. 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg. he mixed the two and sold the mixture. approximately what price per kg should be sell the mixture to make 15 % profit ?\nOptions: a. 14.49, b. 16.33, c. 16.35, d. 16.3, e. 16.32", "output": [ "a" ] }, { "id": "task1678-dc050546a8da4494a911f7a70530283a", "input": "Problem: one pipe can fill a tank four times as fast as another pipe. if together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in :\nOptions: a. 180 min, b. 144 min., c. 126 min, d. 114 min, e. 124 min", "output": [ "a" ] }, { "id": "task1678-32ae1558501645c38c77531e566e8ada", "input": "Problem: carl is facing very difficult financial times and can only pay the interest on a $ 10,000 loan he has taken. the bank charges him a quarterly compound rate of 8 %. what is the approximate interest he pays annually ?\nOptions: a. 1500, b. 1750, c. 2000, d. 3500, e. 2500", "output": [ "d" ] }, { "id": "task1678-f1918bd5e1354896a5850304ad902ba8", "input": "Problem: a patient is given exactly 750 milliliters of a mixture of two medications daily. medication a contains 40 % pain killer and medication b contains 20 % pain killer. if the patient receives exactly 215 milliliters of pain killer daily, how many milliliters of medication b are in the mixture ?\nOptions: a. 150, b. 225, c. 325, d. 425, e. 550", "output": [ "d" ] }, { "id": "task1678-92cf5e39d5144fc58716a5141f0bc355", "input": "Problem: a train passes a platform in 18 seconds. the same train passes a man standing on the platform in 20 seconds. if the speed of the train is 54 km / hr, the length of the platform is\nOptions: a. 120, b. 250, c. 260, d. 230, e. 220", "output": [ "a" ] }, { "id": "task1678-00b7ee4ff10a458fbf4316f2067c36be", "input": "Problem: let s is a set of all natural numbers less than 120 such that hcf of any element in s and 120 is 1. find the sum of all elements in s ?\nOptions: a. 1584, b. 7640, c. 5640, d. 7240, e. 6780", "output": [ "a" ] }, { "id": "task1678-b323ba6193514deab62dd00bafcef95e", "input": "Problem: a swimmer can swim in still water at 4 km / h. if the speed of the water current is 2 km / h, how many hours will the swimmer take to swim against the current for 5 km ?\nOptions: a. 2.0, b. 2.5, c. 3.0, d. 3.5, e. 4.0", "output": [ "b" ] }, { "id": "task1678-a954442c34674e0c86580225c385e2cf", "input": "Problem: if a tire rotates at 400 revolutions per minute when the car is traveling 48 km / h, what is the circumference of the tire ?\nOptions: a. 7 meters, b. 9 meters, c. 8 meters, d. 2 meters, e. 3 meters", "output": [ "d" ] }, { "id": "task1678-96e95cb85b56485fbda76e42224c47c6", "input": "Problem: a snooker tournament charges $ 45.00 for vip seats and $ 20.00 for general admission ( “ regular ” seats ). on a certain night, a total of 320 tickets were sold, for a total cost of $ 7500. how many fewer tickets were sold that night for vip seats than for general admission seats ?\nOptions: a. 200, b. 276, c. 230, d. 240, e. 250", "output": [ "b" ] }, { "id": "task1678-beff5134d6ae41fb8be40420ddd54345", "input": "Problem: find the principle on a certain sum of money at 5 % per annum for 3 1 / 5 years if the amount being rs. 1160 ?\nOptions: a. rs. 1000, b. rs. 1100, c. rs. 1010, d. rs. 10000, e. none of these", "output": [ "a" ] }, { "id": "task1678-8c02b0a1b181412c88a7dffb2bee15e2", "input": "Problem: 4 balls of different colors are to be placed in 3 different boxes such that any box contains at least 1 ball. what is the maximum number of different ways in which this can be done ?\nOptions: a. 60, b. 90, c. 120, d. 150, e. 180", "output": [ "e" ] }, { "id": "task1678-b6d1da2020824236b87c109db5b8dc66", "input": "Problem: if x is to be chosen at random from the set { 1, 2, 3, 4 } and y is to be chosen at random from the set { 6, 7 }, what is the probability that xy will be even ?\nOptions: a. 1 / 6, b. 1 / 3, c. 1 / 2, d. 2 / 3, e. 5 / 6", "output": [ "a" ] }, { "id": "task1678-18d4a940b6b54988b7d20c073be97e0e", "input": "Problem: find the ones digit of 73 ^ 300\nOptions: a. 3, b. 5, c. 6, d. 7, e. 10", "output": [ "e" ] }, { "id": "task1678-42e22c1477c94e44b35c16d52fe89141", "input": "Problem: find the value of ( 0.75 * 0.75 * 0.75 - 0.001 ) / ( 0.75 * 0.75 - 0.075 + 0.01 )\nOptions: a. 0.845, b. 0.849, c. 0.842, d. 0.828, e. 0.8419", "output": [ "a" ] }, { "id": "task1678-09b036ddd3d241d4a488aefa89bb2a8e", "input": "Problem: a train passes a station platform in 36 sec and a man standing on the platform in 20 sec. if the speed of the train is 54 km / hr. what is the length of the platform ?\nOptions: a. 120 m, b. 240 m, c. 300 m, d. 500 m, e. 550 m", "output": [ "b" ] }, { "id": "task1678-b8b6e1a279d841038d9e467c17396247", "input": "Problem: the length of the bridge, which a train 140 metres long and travelling at 45 km / hr can cross in 30 seconds, is ?\nOptions: a. 255, b. 267, c. 235, d. 277, e. 211", "output": [ "c" ] }, { "id": "task1678-f8ef2294fead4e148a3b86f2aaccaac9", "input": "Problem: working together, printer a and printer b would finish the task in 24 minutes. printer a alone would finish the task in 60 minutes. how many pages does the task contain if printer b prints 10 pages a minute more than printer a ?\nOptions: a. 600, b. 800, c. 1000, d. 1200, e. 1500", "output": [ "d" ] }, { "id": "task1678-127089afd8c149fb835f0d9db9288eec", "input": "Problem: the average height of 35 boys in a class was calculated as 185 cm. it has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm. find the actual average height of the boys in the class ( round off your answer to two decimal places ?\nOptions: a. 187.89 cm, b. 183.29 cm, c. 123.98 cm, d. 149.98 cm, e. 146.89 cm", "output": [ "b" ] }, { "id": "task1678-6e539bd5c88d41dbae51e0f528251af8", "input": "Problem: whats the reminder when 65,985, 241,545, 898,754, 582,556, 898,522, 454,889 is divided by 16\nOptions: a. 1, b. 7., c. 2., d. 3, e. 9", "output": [ "e" ] }, { "id": "task1678-670ed280e99e49e6a81df377e6fbab19", "input": "Problem: you enter a weight loss challenge game and manage to lose 12 % of your body weight. for the final weigh in you are forced to wear clothes that add 2 % to your weight. what percentage of weight loss is measured at the final weigh in ?\nOptions: a. 10.24 %, b. 9.22 %, c. 9 %, d. 14 %, e. 12 %", "output": [ "a" ] }, { "id": "task1678-c445540946ff4443abed0752f4d6c161", "input": "Problem: if 20 men can build a water fountain 56 metres long in 14 days, what length of a similar water fountain can be built by 35 men in 3 days ?\nOptions: a. 21 m, b. 24 m, c. 27 m, d. 29 m, e. 30 m", "output": [ "a" ] }, { "id": "task1678-c6fa56851fdd47f19f0e3118a080412e", "input": "Problem: if 4 ( p ' s capital ) = 6 ( q ' s capital ) = 10 ( r ' s capital ), then out of the total profit of rs 4650, r will receive\nOptions: a. 600, b. 700, c. 800, d. 900, e. none of these", "output": [ "d" ] }, { "id": "task1678-b2d4cc04c42f484c8e8a05eb0621869a", "input": "Problem: the average age of 15 students of a class is 15 years. out of these, the average age of 8 students is 14 years and that of the other 6 students is 16 years, the age of the 15 th student is\nOptions: a. 17, b. 12, c. 13, d. 14, e. 15", "output": [ "a" ] }, { "id": "task1678-d91b5480c70b4cb1abc5e024f820a3a5", "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": "task1678-bf8b8064d40c4554b46b53143d2676d2", "input": "Problem: a committee is reviewing a total of 40 x black - and - white films and 10 y color films for a festival. if the committee selects y / x % of the black - and - white films and all of the color films, what fraction of the selected films are in color ?\nOptions: a. 50 / 52, b. 55 / 52, c. 60 / 52, d. 40 / 52, e. 30 / 52", "output": [ "a" ] }, { "id": "task1678-5649a8117b504787b1516f13868e587a", "input": "Problem: a clock shows the time as 10 a. m. if the minute hand gains 5 minutes every hour, how many minutes will the clock gain by 6 p. m. ?\nOptions: a. 45 minutes, b. 55 minutes, c. 35 minutes, d. 25 minutes, e. 40 minutes", "output": [ "e" ] }, { "id": "task1678-0ee63e7ec6544cc08669fe21b76aef86", "input": "Problem: in 1970 there were 8,902 women stockbrokers in the united states. by 1978 the number had increased to 23,947. approximately what was the percent increase ?\nOptions: a. 45 %, b. 125 %, c. 145 %, d. 150 %, e. 169 %", "output": [ "e" ] }, { "id": "task1678-1d44266663d34336a114fa2b32522494", "input": "Problem: if the cost price of 24 chocolates is equal to the selling price of 16 chocolates, the gain percent is :\nOptions: a. 24 %, b. 8 %, c. 50 %, d. 40 %, e. none of these", "output": [ "c" ] }, { "id": "task1678-86e7374ee7a04678805d40c76bd130a3", "input": "Problem: a fort had provision of food for 150 men for 45 days. after 10 days, 25 men left the fort. find out the number of days for which the remaining food will last.\nOptions: a. 44, b. 42, c. 40, d. 38, e. 36", "output": [ "b" ] }, { "id": "task1678-ec0592f701174466929147ba775a84fc", "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": "task1678-bb3868594ff1492e9733ec42a403c394", "input": "Problem: during a given week a programmer spends 1 / 4 of his time preparing flow chart, 3 / 8 of his time coding and the rest of the time in debugging the programs. if he works 48 hours during the week, how many hours did he spend debugging the program.\nOptions: a. 15 hrs, b. 16 hrs, c. 18 hrs, d. 19 hrs, e. 17 hrs", "output": [ "c" ] }, { "id": "task1678-6f457c20cd3b4bfa9bed36dc0d9dd5e3", "input": "Problem: 1 / 2,16, 4,15, 3,56, _ ?\nOptions: a. 28 / 3, b. 27 / 3, c. 26 / 3, d. 25 / 3, e. 24 / 3", "output": [ "a" ] }, { "id": "task1678-b6de704481c14723960bdcc2c2b35640", "input": "Problem: there is enough provisions for 600 men in an army camp for 25 days. if there were 250 men less, how long will the provision last ?\nOptions: a. 10 days, b. 40 days, c. 50 days, d. 60 days, e. 80 days", "output": [ "d" ] }, { "id": "task1678-5fb9f55304f14bd8879da83dd8838db7", "input": "Problem: in what time will a train 200 m long cross an electric pole, it its speed be 144 km / hr ?\nOptions: a. 2.5 sec, b. 1.9 sec, c. 8.9 sec, d. 6.9 sec, e. 5 sec", "output": [ "e" ] }, { "id": "task1678-c92012c33aa8419c83fcc77a520fd4c5", "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": "task1678-a9cbd2a97d554353a8d0dc36964169a5", "input": "Problem: at what rate percent on simple interest will rs. 1500 amount to rs. 2000 in 5 years ?\nOptions: a. 8.33 %, b. 3 6 / 7 %, c. 2 6 / 7 %, d. 5 %, e. 6 %", "output": [ "a" ] }, { "id": "task1678-18e73ccb854742eaae8016e4ca20477d", "input": "Problem: last year a certain bond price with a face value of 5000 yielded 10 % of its face value in interest. if that interest was approx 6.5 of the bond ' s selling price approx what was the bond ' s selling price ?\nOptions: a. 7692, b. 5325, c. 5351, d. 6000, e. 6154", "output": [ "a" ] }, { "id": "task1678-b80ec9a180204ce895f016f1edb4fb84", "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": "task1678-fc5802eb50dd4c46bc6166c32971ee89", "input": "Problem: company s produces two kinds of stereos: basic and deluxe. of the stereos produced by company s last month, 2 / 3 were basic and the rest were deluxe. if it takes 1.1 as many hours to produce a deluxe stereo as it does to produce a basic stereo, then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos ?\nOptions: a. 7 / 17, b. 14 / 31, c. 7 / 15, d. 11 / 31, e. 1 / 2", "output": [ "d" ] }, { "id": "task1678-f9f5d6ab8469484e9ae30780a86dd4a5", "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": "task1678-1625b86b535841cfab170c7762dd6892", "input": "Problem: walking at 3 / 4 of her normal speed, a worker is 8 minutes later than usual in reaching her office. the usual time ( in minutes ) taken by her to cover the distance between her home and her office is\nOptions: a. 20, b. 24, c. 28, d. 32, e. 36", "output": [ "b" ] }, { "id": "task1678-b8221c6cb19d4c89ae8f162477793c20", "input": "Problem: the total age of a and b is 14 years more than the total age of b and c. c is how many years younger than a ?\nOptions: a. 14, b. 27, c. 21, d. 18, e. 11", "output": [ "a" ] }, { "id": "task1678-6c3c874b87e443b882d937f624003201", "input": "Problem: in a party every person shakes hands with every other person. if there were a total of 171 handshakes in the party then what is the number of persons present in the party ?\nOptions: a. 15, b. 16, c. 17, d. 18, e. 19", "output": [ "e" ] }, { "id": "task1678-750e923cf4e0496eb27aed0883be490f", "input": "Problem: two spherical balls lie on the ground touching. if one of the balls has a radius of 7 cm, and the point of contact is 10 cm above the ground, what is the radius of the other ball ( in centimeters ) ?\nOptions: a. 30 / 7, b. 50 / 3, c. 70 / 4, d. 80 / 5, e. 90 / 8", "output": [ "c" ] }, { "id": "task1678-20711d7db44f4de7b30ee067364493b1", "input": "Problem: a man performs 3 / 5 of the total journey by rail, 17 / 20 by bus and the remaining 6.5 km on foot. his total journey is\nOptions: a. 65 km, b. 100 km, c. 120 km, d. 130 km, e. 140 km", "output": [ "d" ] }, { "id": "task1678-2846cae6e42f4154a7a3804c00e447c4", "input": "Problem: two trains of length 100 meters and 200 meters are 450 meters apart. they are moving towards each other on parallel tracks, at speeds of 90 km / h and 72 km / h. after how many seconds will the trains meet ?\nOptions: a. 6, b. 8, c. 10, d. 12, e. 14", "output": [ "c" ] }, { "id": "task1678-1e288285a2b940299121e24545abf11f", "input": "Problem: a train travels from new york to chicago, a distance of approximately 540 miles, at an average rate of 60 miles per hour and arrives in chicago at 6: 00 in evening, chicago time. at what hour in the morning, new york time, did the train depart for chicago ? ( note: chicago time is one hour earlier than new york time.\nOptions: a. 3: 00, b. 4: 00, c. 5: 00, d. 6: 00, e. 10: 00", "output": [ "e" ] }, { "id": "task1678-8771fc9d3f094bd999127bca19317bf1", "input": "Problem: a train is 360 meter long is running at a speed of 52 km / hour. in what time will it pass a bridge of 140 meter length.\nOptions: a. 24.62 seconds, b. 34.62 seconds, c. 44.62 seconds, d. 54.62 seconds, e. none of these", "output": [ "b" ] }, { "id": "task1678-b7eb7601e91d42eb872f6b39e7e17d29", "input": "Problem: a straight line in the xy - plane has a slope of 2 and a y - intercept of 2. on this line, what is the x - coordinate of the point whose y - coordinate is 540 ?\nOptions: a. 249, b. 498, c. 676, d. 269, e. 1,002", "output": [ "d" ] }, { "id": "task1678-f16820d318304e27afddc18e8bb0b826", "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": "task1678-95eec2a4aeb44a99816de16557924ff9", "input": "Problem: in a class of 25 students in an examination in maths 3 students scored 95 marks each, 3 get zero each and the average of the rest was 45. what is the average of the whole class ?\nOptions: a. 47, b. 45.6, c. 44, d. 48, e. 49", "output": [ "b" ] }, { "id": "task1678-a417fdc4c4be41879f27ad1483649309", "input": "Problem: ravi purchased a refrigerator and a mobile phone for rs. 15000 and rs. 8000 respectively. he sold the refrigerator at a loss of 3 percent and the mobile phone at a profit of 10 percent. overall he make a.\nOptions: a. 228, b. 350, c. 27, d. 200, e. 881", "output": [ "b" ] }, { "id": "task1678-a315b6b49ab047d3a42a7e75a7de705f", "input": "Problem: from a total of 5 boys and 3 girls, how many 4 - person committees can be selected if the committee must have exactly 2 boys and 2 girls ?\nOptions: a. 16, b. 24, c. 30, d. 120, e. 240", "output": [ "c" ] }, { "id": "task1678-f5e49b9ea0cf40f59f2f0f05dd4d4017", "input": "Problem: a man, a woman and a boy can together complete a piece of work in 3 days. if a woman alone can do it in 6 days and a boy alone in 18 days, how long will a man take to complete the work ?\nOptions: a. 5 days, b. 8 days, c. 7 days, d. 9 days, e. 8 days", "output": [ "d" ] }, { "id": "task1678-862bcc3ef2a24498be2348a1c8b42bdf", "input": "Problem: a cyclist covers a distance of 750 m in 2 min 30 sec. what is the speed in km / hr of the cyclist ?\nOptions: a. 9 km / hr, b. 7 km / hr, c. 12 km / hr, d. 15 km / hr, e. 18 km / hr", "output": [ "e" ] }, { "id": "task1678-346104f94dc34714a8d6f254fce5cfc5", "input": "Problem: a train running at the speed of 70 km / hr crosses a pole in 9 sec. what is the length of the train ?\nOptions: a. 227 m, b. 150 m, c. 167 m, d. 175 m, e. 187 m", "output": [ "d" ] }, { "id": "task1678-b846844ec588454f81d94be77899992e", "input": "Problem: on my sister ' s birthday, she was 126 cm in height, having grown 5 % since the year before. how tall was she the previous year ?\nOptions: a. 124 cm, b. 120 cm, c. 116 cm, d. 112 cm, e. 110 cm", "output": [ "b" ] }, { "id": "task1678-e26d02cd13a34f55abd1d5f693c0e199", "input": "Problem: what is the probability of drawing a ` ` queen ' ' from a deck of 52 cards ?\nOptions: a. 2 / 7, b. 1 / 13, c. 3 / 5, d. 2 / 8, e. 1 / 7", "output": [ "b" ] }, { "id": "task1678-dd16ba456b834518ba964419dd7cc99d", "input": "Problem: how many multiples of 2 are there between 1 and 58, exclusive ?\nOptions: a. 21, b. 22, c. 24, d. 26, e. 28", "output": [ "e" ] }, { "id": "task1678-3f793f3d4fed4b76b6933067f1d0bf5a", "input": "Problem: for a certain art exhibit, a museum sold admission tickets to a group of 50 people every 5 minutes from 9: 00 in the morning to 5: 55 in the afternoon, inclusive. the price of a regular admission ticket was $ 10 and the price of a student ticket was $ 6. if on one day 3 times as many regular admission tickets were sold as student tickets, what was the total revenue from ticket sales that day ?\nOptions: a. $ 24960, b. $ 25920, c. $ 28080, d. $ 38500, e. $ 48600", "output": [ "e" ] }, { "id": "task1678-1041fe7288d74edba0f40f31ebe97095", "input": "Problem: sum of 3 numbers 264, if the first number be twice then second and third number be one third of the first, then the second number is\nOptions: a. 70, b. 71, c. 72, d. 73, e. 74", "output": [ "c" ] }, { "id": "task1678-4125ac90600e4cd7ad4b90e742dafaff", "input": "Problem: if n = ( 33 ) ^ 43 + ( 53 ) ^ 33 what is the units digit of n ?\nOptions: a. 0, b. 2, c. 4, d. 6, e. 8", "output": [ "c" ] }, { "id": "task1678-4c2843bd5ad6442c80742eeafe5a2a52", "input": "Problem: in an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. if he attempts all 200 questions and secures 240 marks, the number of questions he attempts incorrectly, is :\nOptions: a. 135, b. 200, c. 140, d. 112, e. 48", "output": [ "d" ] }, { "id": "task1678-9135b2b8f8e9427b8e90c78029055c41", "input": "Problem: a train moves with a speed of 216 kmph. its speed in metres per second is\nOptions: a. 10.8, b. 18, c. 30, d. 38.8, e. 60", "output": [ "e" ] }, { "id": "task1678-30e883b97d7045f4900eaf8857268b53", "input": "Problem: find the least number must be subtracted from 105829 so that remaining no. is divisible by 21 ?\nOptions: a. 7, b. 10, c. 20, d. 32, e. 35", "output": [ "b" ] }, { "id": "task1678-33e30ba175824417a77d99b0eafb4cde", "input": "Problem: a and b started a business in partnership investing rs. 20000 and rs. 15000 respectively. after 6 months, c joined them with rs. 20000. what will be a ' s share in the total profit of rs. 27000 earned at the end of 2 years from the starting of the business ?\nOptions: a. rs. 7500, b. rs. 9000, c. rs. 9500, d. rs. 10,800, e. none", "output": [ "d" ] }, { "id": "task1678-47c302623b044e12b0d63ad1e2e99513", "input": "Problem: the average age of 50 students in a class is 14 years. if the age of teacher is also included, the average becomes 15 years, find the age of the teacher.\nOptions: a. 30, b. 65, c. 60, d. 55, e. 56", "output": [ "b" ] }, { "id": "task1678-72b3399265f0494eb16a50b9b5a13e9d", "input": "Problem: the total cost of a vacation was divided among 3 people. if the total cost of the vacation had been divided equally among 4 people, the cost per person would have been $ 60 less. what was the total cost cost of the vacation ?\nOptions: a. $ 200, b. $ 300, c. $ 400, d. $ 720, e. $ 600", "output": [ "d" ] }, { "id": "task1678-5249db297d3b45a9b2171f2fcbc97746", "input": "Problem: twice the larger of two numbers is 3 more than 5 times the smaller, and the sum of 4 times the larger and 3 times the smaller is 71. what are the numbers ?\nOptions: a. 21, 12, b. 9, 0, c. 15, 6, d. 10, 1, e. 14, 5", "output": [ "e" ] }, { "id": "task1678-d6083ded02864beba4109d2e3f177b61", "input": "Problem: if n is a positive integer and n ^ 2 is divisible by 72, then the largest positive integer w that must divide n is ?\nOptions: a. 6, b. 12, c. 24, d. 36, e. 48", "output": [ "b" ] }, { "id": "task1678-b25beb08ff6b411f9b9b66efd42377c5", "input": "Problem: 800 men have provisions for 20 days. if 200 more men join them, for how many days will the provisions last now ?\nOptions: a. 10, b. 8, c. 16, d. 11, e. 15", "output": [ "c" ] }, { "id": "task1678-545d2aae2293496b8e89ba199d1a164b", "input": "Problem: the list price of an article is rs. 70. a customer pays rs. 59.22 for it. he was given two successive discounts, one of them being 10 %. the other discount is ?\nOptions: a. 8 %, b. 7 %, c. 10 %, d. 12 %, e. 6 %", "output": [ "e" ] }, { "id": "task1678-b411610ef3ae4e13afdf7e5ec9d48a5f", "input": "Problem: a train crosses a platform of 200 m in 15 sec, same train crosses another platform of length 300 m in 20 sec. then find the length of the train ?\nOptions: a. 100 m, b. 180 m, c. 159 m, d. 250 m, e. 152 m", "output": [ "a" ] }, { "id": "task1678-1d32ae353e394fbcb1f76e6651772170", "input": "Problem: one man can do a piece of work in 10 days. one boys join him & he complete the work in 6 days. if he gets 50 rs for his work then what will be the share of the boy.\nOptions: a. 10, b. 20, c. 30, d. 40, e. 50", "output": [ "b" ] }, { "id": "task1678-f8f560bc61474997bf8c1677e126866b", "input": "Problem: evaluate: 10111 - 10 * 2 * 5 = ?\nOptions: a. 10101, b. 10110, c. 11100, d. 11001, e. 11011", "output": [ "a" ] }, { "id": "task1678-59fe8053c124434f8e5df1caf93c6c5f", "input": "Problem: seed mixture x is 40 percent ryegrass and 60 percent bluegrass by weight; seed mixture y is 25 percent ryegrass and 75 percent fescue. if a mixture of x and y contains 35 percent ryegrass, what percent of the weight of this mixture is x ?\nOptions: a. 10 %, b. 33.33 %, c. 40 %, d. 50 %, e. 66.66 %", "output": [ "e" ] }, { "id": "task1678-22efb5d6d6204c0db60d5f4e10294a79", "input": "Problem: a rectangular garden is to be twice as long as it is wide. if 150 yards of fencing, including the gate, will completely enclose the garden, what will be the length of the garden, in yards ?\nOptions: ['a. 40', 'b. 50', 'c. 60', 'd. 70', 'e. 80']", "output": [ "b" ] }, { "id": "task1678-08abb783067c44c596a3f23a535cbf87", "input": "Problem: a jar of 364 marbles is divided equally among a group of marble - players today. if 2 people joined the group in the future, each person would receive 1 marble less. how many people are there in the group today ?\nOptions: a. 20, b. 22, c. 24, d. 26, e. 28", "output": [ "d" ] }, { "id": "task1678-7b3a9f8e979243ccb71ebb72c50e2cbe", "input": "Problem: 80 370 860 ? 2440 3530\nOptions: a. 900, b. 840, c. 750, d. 860, e. 1550", "output": [ "e" ] }, { "id": "task1678-69e6b492a05449f690cd0b1a4363a56a", "input": "Problem: marginal cost is the cost of increasing the quantity produced ( or purchased. by one unit. if the fixed cost for n products is $ 15,000 and the marginal cost is $ 200, and the total cost is $ 25,000, what is the value of n ?\nOptions: a. 30, b. 50, c. 60, d. 80, e. 100", "output": [ "b" ] }, { "id": "task1678-63c53a0751bc4013b19bafa1d9c85203", "input": "Problem: peter invested a certain sum of money in a simple interest bond whose value grew to $ 300 at the end of 3 years and to $ 400 at the end of another 5 years. what was the rate of interest in which he invested his sum ?\nOptions: a. 12 %, b. 12.5 %, c. 6.67 %, d. 6.25 %, e. 8.33 %", "output": [ "e" ] }, { "id": "task1678-8b542ba2d8ec4685ab1f3b4e81b3ea07", "input": "Problem: at what rate percent on simple interest will rs. 750 amount to rs. 900 in 5 years ?\nOptions: a. 6, b. 5, c. 4, d. 78, e. 2", "output": [ "c" ] }, { "id": "task1678-994b58cdaf374eeaba0bd3e9e5be8509", "input": "Problem: the diameter of the driving wheel of a bus in 140 cm. how many revolutions per minute must the wheel make in order to keep a speed of 24 kmph ?\nOptions: a. 21.21, b. 22.26, c. 90.9, d. 24.86, e. 25.25", "output": [ "c" ] }, { "id": "task1678-086de8ee5aed4efab23bf0412e620ad9", "input": "Problem: a person borrows rs. 5000 for 2 years at 4 % p. a. simple interest. he immediately lends it to another person at 6 p. a for 2 years. find his gain in the transaction per year.\nOptions: a. 100 rs, b. 150 rs, c. 160 rs, d. 180 rs, e. 200 rs", "output": [ "a" ] }, { "id": "task1678-eb9ab2c76ad04daf89416bc2d3d7a144", "input": "Problem: how many liters of water must be added to 18 liters of milk and water containing 10 % water to make it 70 % water ?\nOptions: a. 28, b. 32, c. 36, d. 40, e. 44", "output": [ "c" ] }, { "id": "task1678-c5c1f6073360453ab1adae42a0f3b8cd", "input": "Problem: if 1 / 5 th of a number decreased by 5 is 5, then the number is\nOptions: a. 25, b. 50, c. 60, d. 75, e. none", "output": [ "b" ] }, { "id": "task1678-c47238d457a14c768b13e44b76208b0b", "input": "Problem: earl can stuff advertising circulars into envelopes at the rate of 36 envelopes per minutes and ellen requires a minutes and half to stuff the same number of envelops. working together, how long will it take earl and ellen to stuff 240 envelopes\nOptions: a. 6 minutes, b. 5 minutes, c. 7 minutes, d. 3 minutes, e. 4 minutes", "output": [ "e" ] }, { "id": "task1678-353deb324d0c4c27b155b2b8a5ec126d", "input": "Problem: if ( x + 3 ) ^ 2 / ( 2 x + 15 ) = 3, then the difference between the two possible values of x is :\nOptions: a. 8, b. 10, c. 12, d. 14, e. 16", "output": [ "c" ] }, { "id": "task1678-49af9ebcc05b4b189ea2f7a52e75f9a4", "input": "Problem: a feed store sells two varieties of birdseed: brand a, which is 40 % millet and 60 % sunflower, and brand b, which is 65 % millet and 35 % safflower. if a customer purchases a mix of the two types of birdseed that is 50 % millet, what percent of the mix is brand b ?\nOptions: a. 40 %, b. 45 %, c. 50 %, d. 60 %, e. 55 %", "output": [ "a" ] }, { "id": "task1678-0f1042f2138249febf99489de9b68b58", "input": "Problem: what is the measure of the angle y made by the diagonals of the any adjacent sides of a cube.\nOptions: a. 30, b. 45, c. 60, d. 75, e. 90", "output": [ "c" ] }, { "id": "task1678-9320d679ee844e1fb254fd88eb5b87d9", "input": "Problem: a placed 3 sheets with two carbons to get two extra copies of the original. then he decided to get more carbon copies and folded the paper in such a way that the upper half of the sheets were on top of the lower half. then he typed. how many carbon copies did he get ?\nOptions: a. 1, b. 2, c. 3, d. 4, e. 5", "output": [ "b" ] }, { "id": "task1678-eecc53b246fd4619adba8a92ca4abc05", "input": "Problem: the sum of four consecutive even numbers is 84. what would be the largest number ?\nOptions: a. 33, b. 88, c. 24, d. 123, e. 12", "output": [ "c" ] }, { "id": "task1678-c61827ddf9df4ba3b05dd27795fdf11f", "input": "Problem: the average age of applicants for a new job is 30, with a standard deviation of 8. the hiring manager is only willing to accept applicants whose age is within one standard deviation of the average age. assuming that all applicants ' ages are integers and that the endpoints of the range are included, what is the maximum number of different ages of the applicants ?\nOptions: a. 8, b. 16, c. 17, d. 18, e. 34", "output": [ "c" ] }, { "id": "task1678-d66e29097b6647ceb6f28a0250d48977", "input": "Problem: hcf and lcm two numbers are 16 and 396 respectively. if one of the numbers is 36, then the other number is ?\nOptions: a. 36, b. 66, c. 132, d. 176, e. 364", "output": [ "d" ] }, { "id": "task1678-57b6ae9a7e6745ee9c27bbf305ccf587", "input": "Problem: a 10000 liter tank, half - full of water is being filled from a pipe with a flow rate of 1 kiloliter every 2 minutes. at the same time, the tank is losing water from two drains at a rate of 1 kiloliter every 4 minutes and every 6 minutes. how many minutes does it take to fill the tank completely ?\nOptions: a. 8, b. 12, c. 18, d. 24, e. 60", "output": [ "e" ] }, { "id": "task1678-209cd2ecb2314dd3b4833e9992f2e16d", "input": "Problem: mr. evans will states that each of his children will receive an equal share of his estate and that his grandchildren will split a portion of the estate that is equal to the share received by each of his children. if mr. evans has 3 children and 6 grandchildren, then approximately what percentage of mr. evans estate will each grandchild receive ?\nOptions: a. 16.25 %, b. 8.25 %, c. 4.25 %, d. 6.25 %, e. 7.25 %", "output": [ "d" ] }, { "id": "task1678-e7d34df18aea41d8845c276cad13882c", "input": "Problem: in a village of 2,700 people, 900 people are over 70 years old and 1200 people are female. it is known that 60 percent of the females are younger than 70 years old. if no one in the village is 70 years old, what is the probability that a person chosen at random is either a male or younger than 70 years old ?\nOptions: a. 4 / 5, b. 5 / 7, c. 13 / 15, d. 37 / 45, e. 79 / 90", "output": [ "d" ] }, { "id": "task1678-e870f427fcb34804b65d6ca5b2395c02", "input": "Problem:. 04 × ? =. 000016.\nOptions: a. 0.0004, b. 0.04, c. 4, d. 0.4, e. none of these", "output": [ "a" ] }, { "id": "task1678-6486f65deefe412d90e8108f532a1492", "input": "Problem: the cost of 8 dozen pencil and 2 dozen note book is 520 rupee. if cost of 3 pencil and 4 note book is 60 rupee, then sum of the cost of 1 pencil and 1 note book will be ( in rupee.\nOptions: a. rs 13.51, b. rs 15.51, c. rs 16.51, d. rs 14.51, e. rs 17.51", "output": [ "b" ] }, { "id": "task1678-f8aba3a8aec74c42b2ac8ab3ebb9d8da", "input": "Problem: 8 years ago, p was half of q ' s age. if the ratio of their present ages is 3: 4 what will be the total of their present ages ?\nOptions: a. 33, b. 67, c. 28, d. 31, e. 35", "output": [ "c" ] }, { "id": "task1678-def2babcba0e45548f1d427394d5c338", "input": "Problem: selling an kite for rs. 30, a shop keeper gains 15 %. during a clearance sale, the shopkeeper allows a discount of 10 % on the marked price. his gain percent during the sale is ?\nOptions: a. 3.5 %, b. 10 %, c. 11 %, d. 15 %, e. 20 %", "output": [ "a" ] }, { "id": "task1678-26a55fbd8a6d495d9644f9003d658a11", "input": "Problem: john makes $ 40 a week from his job. he earns a raise and now makes $ 80 a week. what is the % increase ?\nOptions: a. 16 %, b. 16.66 %, c. 17.9 %, d. 18.12 %, e. 100 %", "output": [ "e" ] }, { "id": "task1678-73c7274d04b14361a872fde22be491ec", "input": "Problem: a part of certain sum of money is invested at 16 % per annum and the rest at 20 % per annum, if the interest earned in each case for the same period is equal, then ratio of the sums invested is ?\nOptions: a. 4: 6, b. 4: 9, c. 4: 3, d. 4: 1, e. 5: 4", "output": [ "e" ] }, { "id": "task1678-ee0d3d975f2b4676ac3a84b9cd5a9ec2", "input": "Problem: the average of 6 no. ' s is 4.60. the average of 2 of them is 3.4, while the average of the other 2 is 3.8. what is the average of the remaining 2 no ' s ?\nOptions: a. 2.3, b. 6.6, c. 3.6, d. 4.5, e. 4.6", "output": [ "b" ] }, { "id": "task1678-dc6eade521e64ee89a1c69f59b8efe32", "input": "Problem: at a certain bowling alley, it costs $ 0.50 to rent bowling shoes for the day and $ 1.25 to bowl 2 games. if a person has $ 12.80 and must rent shoes, what is the greatest number of complete games that person can bowl in one day ?\nOptions: a. 7, b. 8, c. 9, d. 19, e. 21", "output": [ "d" ] }, { "id": "task1678-1c0d234ad48640aa9e59f62ca8b86bfd", "input": "Problem: if the product of the integers from 1 to n is divisible by 378, what is the least possible value of n ?\nOptions: a. 7, b. 8, c. 9, d. 10, e. 11", "output": [ "c" ] }, { "id": "task1678-6989fa42b67049ca8eb46e425487337e", "input": "Problem: what is the value of ( 3 ) ^ - 4 ?\nOptions: a. 1 / 4, b. 1 / 81, c. 1 / 65, d. 1 / 9, e. 1 / 3", "output": [ "b" ] }, { "id": "task1678-ef1d1837a5ab4e67b39513cd0195042e", "input": "Problem: what least number must be subtracted from 13294 so that the remainder is exactly divisible by 97 ?\nOptions: a. 3, b. 5, c. 7, d. 9, e. 10", "output": [ "b" ] }, { "id": "task1678-b7fc066cc153458daaf07c860da389c4", "input": "Problem: the price of an item is discounted 5 percent on day 1 of a sale. on day 2, the item is discounted another 10 percent, and on day 3, it is discounted an additional 15 percent. the price of the item on day 3 is what percentage of the sale price on day 1 ?\nOptions: a. 28 %, b. 40 %, c. 64.8 %, d. 76.5 %, e. 78 %", "output": [ "d" ] }, { "id": "task1678-368dab317b6e44a3b22fb23aa2f35cbd", "input": "Problem: amar takes as much time in running 18 meters as a car takes in covering 12 meters. what will be the distance covered by amar during the time the car covers 1.6 km ?\nOptions: a. 6200 m, b. 2400 m, c. 300 m, d. 4300 m, e. 1200 m", "output": [ "b" ] }, { "id": "task1678-7c1c2390cbcd400ab8f80c6fbb39608c", "input": "Problem: with both valves open, the pool will be filled with water in 48 minutes. the first valve alone would fill the pool in 2 hours. if the second valve emits 50 cubic meters of water more than the first every minute, then what is the capacity w of the pool ?\nOptions: a. 9000 cubic meters, b. 10500 cubic meters, c. 11750 cubic meters, d. 12000 cubic meters, e. 12500 cubic meters", "output": [ "d" ] }, { "id": "task1678-926f740d71b24240bb449493b3fdc67f", "input": "Problem: if n = 2 ^ 0.15 and n ^ b = 1, b must equal\nOptions: a. 3 / 80, b. 20 / 3, c. 4, d. 5 / 3, e. 80 / 3", "output": [ "b" ] }, { "id": "task1678-bf760a36f16640ccba773fa7570c373a", "input": "Problem: the average speed of a car is 1 4 / 5 times the avg speed of a bike. a tractor covers 575 km in 23 hrs. how much distance will the car cover in 4 hrs if the speed of the bike is twice speed of the tractor ?\nOptions: a. 300 km, b. 320 km, c. 360 km, d. 390 km, e. 400 km", "output": [ "c" ] }, { "id": "task1678-b1960a6d640d43b08164043b879c7129", "input": "Problem: find the sum of first 89 odd numbers\nOptions: a. 7921, b. 4800, c. 7900, d. 4980, e. 4960", "output": [ "a" ] }, { "id": "task1678-088b5c8577d543e3a61a1d7ebc75c646", "input": "Problem: a man bought an article and sold it at a gain of 5 %. if he had bought it at 5 % less and sold it for re 5 less, he would have made a profit of 10 %. the c. p. of the article was\nOptions: a. 960, b. 980, c. 900, d. 970, e. 1000", "output": [ "e" ] }, { "id": "task1678-8e1ab8d34ddf40cd8e26423d80bd99db", "input": "Problem: the difference between a number and its 3 - fourth is 100. what is 25 % of that number ?\nOptions: a. 120, b. 100, c. 125, d. 150, e. none of these", "output": [ "b" ] }, { "id": "task1678-76f81255588241249d553488b0f6bb51", "input": "Problem: i chose a number and divide it by 4. then i subtracted 175 from the result and got 10. what was the number i chose ?\nOptions: a. 200, b. 740, c. 780, d. 500, e. 100", "output": [ "b" ] }, { "id": "task1678-e809f8fb085c4a3ba288926460c51217", "input": "Problem: ramu bought an old car for rs. 42000. he spent rs. 15000 on repairs and sold it for rs. 64900. what is his profit percent ?\nOptions: a. 13.8, b. 77, c. 18, d. 99, e. 88", "output": [ "a" ] }, { "id": "task1678-13ea836e3744423c854f2a13e17dbf3b", "input": "Problem: how many 3 digit numbers n are divisible by 78 or 91 ?\nOptions: a. 17, b. 19, c. 20, d. 21, e. 22", "output": [ "b" ] }, { "id": "task1678-6967231748064e17a86e658dfdd07624", "input": "Problem: the length and breadth of a rectangle is increased by 3 % and 6 % respectively. what is the increase in the area ?\nOptions: a. 9.18, b. 9.25, c. 9.5, d. 8.98, e. 8.88", "output": [ "a" ] }, { "id": "task1678-29fdff37d12d446daf59e9c216124b07", "input": "Problem: a sells a bicycle to b and makes a profit of 60 %. b sells the same bicycle to c at a profit of 25 %. if the final s. p. of the bicycle was rs. 225, find out the cost price of the bicycle for a.\nOptions: a. 237, b. 126, c. 971, d. 611, e. 112.5", "output": [ "e" ] }, { "id": "task1678-fbcaddf7bce649b6bc0ee5ebff2d8f70", "input": "Problem: a shopkeeper buys mangoes at the rate of 5 a rupee and sells them at 2 a rupee. find his net profit or loss percent ?\nOptions: a. 34 %, b. 30 %, c. 50 %, d. 150 %, e. 33 %", "output": [ "d" ] }, { "id": "task1678-5f6b7fdcdf3c46d596000372ba4b4b1f", "input": "Problem: find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 14 cm.\nOptions: a. 335 cm 2, b. 885 cm 2, c. 285 cm 2, d. 825 cm 2, e. 266 cm 2", "output": [ "e" ] }, { "id": "task1678-06629f99a5d748d08bed7ea75074868b", "input": "Problem: if x is 50 percent greater than 88, then x =\nOptions: a. 68, b. 132, c. 86, d. 105.6, e. 108", "output": [ "b" ] }, { "id": "task1678-563fd3bb864a420485d2269b8fb2199b", "input": "Problem: if x represents the product of the first 15 positive integers, then x is not a multiple of :\nOptions: a. a. 99, b. b. 84, c. c. 72, d. d. 57, e. e. 67", "output": [ "d" ] }, { "id": "task1678-6bf1665507b54c02a2db58895b1cff85", "input": "Problem: a can complete a project in 20 days and b can complete the same project in 40 days. if a and b start working on the project together and a quits 10 days before the project is completed, in how many days will the project be completed ?\nOptions: a. 18 days, b. 20 days, c. 26.67 days, d. 16 days, e. 12 days", "output": [ "b" ] }, { "id": "task1678-895cab4140024633a6b9a5404770b5cb", "input": "Problem:. 005 / ? =. 01\nOptions: a.. 5, b.. 05, c.. 005, d.. 0005, e. none of them", "output": [ "a" ] }, { "id": "task1678-4689da5b8874465198d00ec0e669cce0", "input": "Problem: the sum of two consecutive integers is 51. find the numbers.\nOptions: a. 17, 18, b. 7, 8, c. 5, 6, d. 1, 2, e. 25,26", "output": [ "e" ] }, { "id": "task1678-253b38225135456da6c4a7f9c3212368", "input": "Problem: a can finish a work in 12 days and b can do same work in half the time taken by a. then working together, what part of same work they can finish in a day ?\nOptions: a. 1 / 4, b. 1 / 6, c. 1 / 7, d. 1 / 8, e. none of these", "output": [ "a" ] }, { "id": "task1678-b223136d6dc54830968ab3a46942887b", "input": "Problem: a train speeds past a pole in 25 seconds and a platform 150 m long in 30 seconds. its length is ?\nOptions: a. 23, b. 22, c. 21, d. 30, e. 19", "output": [ "d" ] }, { "id": "task1678-4686aac5d8494f4d87e976954888b1b9", "input": "Problem: the sum of all the digits of the integers from 18 to 21 inclusive is 24 ( 1 + 8 + 1 + 9 + 2 + 0 + 2 + 1 = 24 ). what is the sum e of all the digits of the integers from 0 to 99 inclusive ?\nOptions: a. 450, b. 810, c. 900, d. 1000, e. 1100", "output": [ "c" ] }, { "id": "task1678-ec23b6eae1df4fdc914b40e9a981ab53", "input": "Problem: if m is the average ( arithmetic mean ) of the first 10 positive multiples of 3 and if m is the median of the first 10 positive multiples of 3, what is the value of m – m ?\nOptions: a. – 5, b. 5, c. 0, d. 25, e. 27.5", "output": [ "c" ] }, { "id": "task1678-5af4218a17c74d42910a76a68ba0152e", "input": "Problem: subtracting 3 % of a from a is equivalent to multiplying a by how much ?\nOptions: a. 0.97, b. 9.4, c. 0.094, d. 94, e. none", "output": [ "a" ] }, { "id": "task1678-fadd90c129424d36876722ff29ca762a", "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": "task1678-f09bf95ebf27403e8737c9ed3210d19a", "input": "Problem: when a certain number x is divided by 61, the remainder is 24. what is the remainder when x is divided by 5 ?\nOptions: a. 2, b. 3, c. 4, d. 5, e. 6", "output": [ "c" ] }, { "id": "task1678-7f6f4d682dff4a6a82d197fa6ca35916", "input": "Problem: solve below question 2 x + 1 = - 19\nOptions: a. - 8, b. - 9, c. 9, d. 8, e. - 10", "output": [ "e" ] }, { "id": "task1678-739becc395b64ba585fe782cf5dad4ac", "input": "Problem: a train 150 m long can cross an electric pole in 3 sec and then find the speed of the train ?\nOptions: a. 180, b. 120, c. 72, d. 27, e. 28", "output": [ "a" ] }, { "id": "task1678-44aaae022e6441319157d2295f222297", "input": "Problem: approximately how many revolutions will be made by a car tire with a 10 - inch diameter if the car travels 1 ⁄ 2 mile ?\nOptions: a. 120, b. 180, c. 1003, d. 1000, e. 1,440", "output": [ "c" ] }, { "id": "task1678-427b2a29ac4e472ebb8343d140f9701f", "input": "Problem: calculate the share of z, if rs. 3720 is divided among x, y and z in the ratio 7: 8: 11 ?\nOptions: a. 1564.1, b. 1214.1, c. 1574.1, d. 1271.1, e. 1044.1", "output": [ "c" ] }, { "id": "task1678-427e6604b69d469e9910b3d69373b1a9", "input": "Problem: the area of a triangle is with base 18 m and height 6 m ?\nOptions: a. 88 m 2, b. 10 m 2, c. 66 m 2, d. 54 m 2, e. 31 m 2", "output": [ "d" ] }, { "id": "task1678-98abac5d4c094dccabae8c597078e783", "input": "Problem: if a population of women in a town is 50 % of men. what is the population of men as a % of population of women ?\nOptions: a. 200 %, b. 100 %, c. 50 %, d. 65 %, e. 110 %", "output": [ "a" ] }, { "id": "task1678-a952cc02a87f4e3480b36c44a1598bb0", "input": "Problem: 225 mtrs long yard, 26 trees are palnted at equal distances, one tree being at each end of the yard. what is the distance between 2 consecutive trees ?\nOptions: a. 10, b. 12, c. 14, d. 16, e. 18", "output": [ "a" ] }, { "id": "task1678-e16baa39d92f4239ad758a8f40d73fd6", "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": "task1678-215f61b6ae2744af99037a4c3bcf80a5", "input": "Problem: the rate of spin of a certain gyroscope doubled every 15 seconds from the moment a particular stopwatch started. if after a minute and a half the gyroscope reached a speed of 400 meters per second, what was the speed, in meters per second, when the stopwatch was started ?\nOptions: a. 25 / 2, b. 25 / 4, c. 25 / 8, d. 25 / 16, e. 25 / 32", "output": [ "b" ] }, { "id": "task1678-21b7ef7c6df344b8b75cc2ca4a707fcb", "input": "Problem: the area of a parallelogram is 288 sq m and its altitude is twice the corresponding base. then the length of the base is ?\nOptions: a. 12, b. 9, c. 7, d. 6, e. 5", "output": [ "a" ] }, { "id": "task1678-cd552f05adc346cdb5e6a081d899d7c0", "input": "Problem: robert ' s salary was increased by 50 % and subsequently decreased by 10 %. how much percentage does he gain ?\nOptions: a. 15 %, b. 20 %, c. 10 %, d. 25 %, e. 30 %", "output": [ "a" ] }, { "id": "task1678-e86821b5a3d0462fa4d92e8071ac7c06", "input": "Problem: the average ( arithmetic mean ) of 7, 8, 10 and 11 equals the average of 2, 9, 13, and\nOptions: a. 7, b. 9, c. 10, d. 12, e. 13", "output": [ "d" ] }, { "id": "task1678-ab9200fcbc6c49dea797b82a1ff26593", "input": "Problem: a group of students decided to collect as many paise from each member of group as is the number of members. if the total collection amounts to rs. 29.16, the number of the member is the group is :\nOptions: a. 57, b. 54, c. 77, d. 87, e. 97", "output": [ "b" ] }, { "id": "task1678-4f94c9fd16ec45bdb4330d6137334458", "input": "Problem: a dishonest dealer professes to sell goods at the cost price but uses a weight of 800 grams per kg, what is his percent ?\nOptions: a. 25 %, b. 25 %, c. 29 %, d. 55 %, e. 45 %", "output": [ "b" ] }, { "id": "task1678-798e3383616141918a13834ad4329a15", "input": "Problem: the average weight of 8 person ' s increases by 2.5 kg when a new person comes in place of one of them weighing 66 kg. what might be the weight of the new person ?\nOptions: a. 56 kg, b. 90 kg, c. 86 kg, d. data inadequate, e. none of these", "output": [ "c" ] }, { "id": "task1678-5b213903e99b4be5a8963327dcbb4631", "input": "Problem: if ( 5 ^ 9 ) ( 9 ^ 5 ) = 3 ( 15 ^ x ), what is the value of x ?\nOptions: a. 7, b. 9, c. 11, d. 13, e. 15", "output": [ "b" ] }, { "id": "task1678-8ccc2735035b4de0befca506173ecaae", "input": "Problem: a boat having a length 8 m and breadth 2 m is floating on a lake. the boat sinks by 1 cm when a man gets on it. the mass of the man is :\nOptions: a. 12 kg, b. 60 kg, c. 72 kg, d. 160 kg, e. none of these", "output": [ "d" ] }, { "id": "task1678-f9f0d3ace42b48929935a40b6ccb7bdd", "input": "Problem: what is the sum between the place values of two 3 ' s in the numeral 63130\nOptions: a. 3111, b. 300, c. 3029, d. 3030, e. 3003", "output": [ "d" ] }, { "id": "task1678-204913e7cec047bb81f9ece4ec738910", "input": "Problem: lloyd normally works 7.5 hours per day and earns $ 4.00 per hour. for each hour he works in excess of 7.5 hours on a given day, he is paid 1.5 times his regular rate. if lloyd works 10.5 hours on a given day, how much does he earn for that day ?\nOptions: a. $ 33.75, b. $ 48.00, c. $ 51.75, d. $ 54.00, e. $ 70.00", "output": [ "b" ] }, { "id": "task1678-965c224775234790acba416573e1e264", "input": "Problem: the average weight of 20 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. find the average weights of all the boys in the class.\nOptions: a. 48.79286, b. 42.25, c. 50.87364, d. 51.25, e. 52.25474", "output": [ "a" ] }, { "id": "task1678-54bafb98b9fb4d16ad654d457f228262", "input": "Problem: what is the difference between the c. i. on rs. 9000 for 1 1 / 2 years at 4 % per annum compounded yearly and half - yearly ?\nOptions: a. s. 2.04, b. s. 2.08, c. s. 3.67, d. s. 2.83, e. s. 2.42", "output": [ "c" ] }, { "id": "task1678-b47f8555efd24b968f262611cba96ba2", "input": "Problem: a tank is filled by 3 pipes a, b, c in 3 hours. pipe c is twice as fast as b and b is twice as fast as a. how much will pipe a alone take to fill the tank ?\nOptions: a. 25 hr, b. 35 hr, c. 40 hr, d. 20 hr, e. 21 hr", "output": [ "e" ] }, { "id": "task1678-49dc4b5322554ced8434b2f6405e1f7a", "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": "task1678-d5c64fb73a4c435da7d3b7b4d2b715cf", "input": "Problem: subash can copy 50 pages in 10 hrs. subash and prakash together can copy 300 pages in 40 hours. in how much time prakash can copy 20 pages.\nOptions: a. 8, b. 10, c. 12, d. 14, e. 16", "output": [ "a" ] }, { "id": "task1678-01ff39375c734fbe8c55af9b8acc78fb", "input": "Problem: a couple spent $ 198 in total while dining out and paid this amount using a credit card. the $ 198 figure included a 20 percent tip which was paid on top of the price which already included a sales tax of 10 percent on top of the price of the food. what was the actual price of the food before tax and tip ?\nOptions: a. $ 130, b. $ 140, c. $ 150, d. $ 160, e. $ 170", "output": [ "c" ] }, { "id": "task1678-2bce2ede6b0e4e56ae640dc18a5af100", "input": "Problem: in an election, candidate douglas won 58 percent of the total vote in counties x and y. he won 64 percent of the vote in county x. if the ratio of people who voted in county x to county y is 2: 1, what percent of the vote did candidate douglas win in county y ?\nOptions: a. 15 %, b. 18 %, c. 25 %, d. 36 %, e. 46 %", "output": [ "e" ] }, { "id": "task1678-0f1acd1ffbfe4fbf97a52ce9957c729f", "input": "Problem: if x is an integer and 2.134 × 10 ^ x is less than 21,000, what is the greatest possible value for x ?\nOptions: a. 7, b. 6, c. 5, d. 4, e. 3", "output": [ "e" ] }, { "id": "task1678-65a6b633e5834c138fe1e3cd5127b972", "input": "Problem: a cistern has a leak which would empty the cistern in 20 minutes. a tap is turned on which admits 4 liters a minute into the cistern, and it is emptied in 24 minutes. how many liters does the cistern hold ? a. 480 liters\nOptions: a. 480, b. 489, c. 486, d. 482, e. 483", "output": [ "a" ] }, { "id": "task1678-7195739c0adb43118fe3df3b09b460f0", "input": "Problem: what is the units digit of ( 147 ^ 17 ) ^ 48 ?\nOptions: a. 1, b. 3, c. 5, d. 7, e. 9", "output": [ "a" ] }, { "id": "task1678-417811194ad54fe7a561236f722aaf06", "input": "Problem: from an island, it is possible to reach the mainland by either ferry p or ferry q. ferry p travels for 3 hours at 8 kilometers per hour, while ferry q takes a route that is two times longer. if ferry p is slower than ferry q by 4 kilometers per hour, how many hours longer is the journey of ferry q compared with the journey of ferry p ?\nOptions: a. 1, b. 2, c. 3, d. 4, e. 5", "output": [ "a" ] }, { "id": "task1678-e860ef38df3f486dbf7ab9c21b435dae", "input": "Problem: find the cost of fencing around a circular field of diameter 39 m at the rate of rs. 1.50 a meter ?\nOptions: a. 287, b. 132, c. 156, d. 158, e. 128.73", "output": [ "e" ] }, { "id": "task1678-d353bc6235054ab38512a6d09a2bca80", "input": "Problem: the average weight of a group of persons increased from 48 kg to 51 kg, when two persons weighing 78 kg and 93 kg join the group. find the initial number of members in the group ?\nOptions: a. 87, b. 67, c. 23, d. 75, e. 25", "output": [ "c" ] }, { "id": "task1678-28871bd09e4a476493a027a234741146", "input": "Problem: in δ pqs above, if pq = 4 and ps = 5, then\nOptions: a. 9 / 4, b. 12 / 5, c. 16 / 5, d. 15 / 4, e. 10 / 3", "output": [ "e" ] }, { "id": "task1678-27d5c8eec0eb43bf93a0f3391e3b1340", "input": "Problem: convert 0.34 in to a vulgar fraction ?\nOptions: a. 18 / 50, b. 16 / 50, c. 17 / 50, d. 19 / 50, e. none", "output": [ "c" ] }, { "id": "task1678-ec6c40f5d11f401f852facbb53f52d5d", "input": "Problem: dhoni bought 5 toys with the average cost of $ 10. if david also buys the sixth toy with the price of $ 16, what is the average ( arithmetic mean ) price of those 6 toys ?\nOptions: a. $ 10, b. $ 7, c. $ 8.5, d. $ 9, e. $ 11", "output": [ "e" ] }, { "id": "task1678-45b0829c24974ae1b8223a8a45fd8206", "input": "Problem: a train traveling at 100 kmph overtakes a motorbike traveling at 64 kmph in 40 seconds. what is the length of the train in meters ?\nOptions: a. 400 meters, b. 1111 meters, c. 1777 meters, d. 1822 meters, e. none of these", "output": [ "a" ] }, { "id": "task1678-9f836eed4de1423995ec008fca91e04c", "input": "Problem: a train running at a speed of 36 kmph crosses an electric pole in 12 seconds. in how much time will it cross a 350 m long platform ?\nOptions: a. 44 sec, b. 49 sec, c. 42 sec, d. 47 sec, e. none of these", "output": [ "d" ] }, { "id": "task1678-2d3ad1d02cfa44c2a7c7ff263602c256", "input": "Problem: gold is 10 times as heavy as water and copper is 6 times as heavy as water. in what ratio should these be mixed to get an alloy 8 times as heavy as water ?\nOptions: a. 3: 2, b. 1: 1, c. 3: 1, d. 5: 2, e. 4: 3", "output": [ "b" ] }, { "id": "task1678-c9108502ea434dffad74b9e151cb7b23", "input": "Problem: points a, b, and, c have xy - coordinates ( 2,0 ), ( 8,12 ), and ( 14,0 ), respectively. points x, y, and z have xy - coordinates ( 6,0 ), ( 8,4 ), and ( 10,0 ), respectively. what fraction q of the area of triangle abc is the area of triangle xyz ?\nOptions: a. 1 / 9, b. 1 / 8, c. 1 / 6, d. 1 / 5, e. 1 / 3", "output": [ "a" ] }, { "id": "task1678-93f4ff7d8f2b40d0adf78a1be9af660b", "input": "Problem: what will be the compound interest on a sum of rs. 20,000 after 3 years at the rate of 12 % p. a. ?\nOptions: a. rs. 8098.56, b. rs. 9720, c. rs. 10123.20, d. rs. 10483.20, e. none", "output": [ "a" ] }, { "id": "task1678-cf38aed990b043e6a4f60ae18e120257", "input": "Problem: a waitress ' s income consists of her salary and tips. during one week, her tips were 3 / 4 of her salary. what fraction of her income for the week came from tips ?\nOptions: a. 1 / 9, b. 1 / 6, c. 3 / 7, d. 4 / 9, e. 5 / 9", "output": [ "c" ] }, { "id": "task1678-0f4ef9a129264c6eb79f26e175bcd607", "input": "Problem: the height of a triangle is decreased by 5 % and its base increased by 10 %. its area will\nOptions: ['a. decrease by 12.5 %', 'b. increase by 12.5 %', 'c. increase by 4.5 %', 'd. increase by 25 %', 'e. none of these']", "output": [ "c" ] }, { "id": "task1678-4a7dc861a7404142b16da6c38b884e7d", "input": "Problem: how many different positive integers exist between 10 ^ 5 and 10 ^ 6, the sum of whose digits is equal to 2 ?\nOptions: a. 6, b. 7, c. 5, d. 8, e. 18", "output": [ "a" ] }, { "id": "task1678-d8401686791c475fa8b577f52695343d", "input": "Problem: the average age of 20 students of a class is 20 years. out of these, the average age of 9 students is 11 years and that of the other 10 students is 24 years. the age of the 20 th student is ?\nOptions: a. 65, b. 61, c. 59, d. 63, e. 64", "output": [ "b" ] }, { "id": "task1678-6f60699c5df842c7a8c8cdf22a9981b5", "input": "Problem: a man engaged a servant on the condition that he would pay him rs. 500 and a uniform after one year service. he served only for 9 months and received uniform and rs. 300, find the price of the uniform ?\nOptions: a. s. 80, b. s. 85, c. s. 90, d. s. 300, e. s. 120", "output": [ "d" ] }, { "id": "task1678-32333d76b0e940b5b99074c0f9557a89", "input": "Problem: a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. if the area of the field is 800 sq. ft, how many feet of fencing will be required ?\nOptions: a. 100 feet, b. 120 feet, c. 150 feet, d. 180 feet, e. 186 feet", "output": [ "a" ] }, { "id": "task1678-fbc717e718e943f1b9d6cb7eedd92052", "input": "Problem: a man buys a cycle for rs. 1400 and sells it at a loss of 10 %. what is the selling price of the cycle ?\nOptions: a. rs. 1090, b. rs. 1160, c. rs. 1190, d. rs. 1202, e. none", "output": [ "e" ] }, { "id": "task1678-4e4c7ba1ab3b4336bb6f587ea63a1d86", "input": "Problem: every day daniel drives 60 miles back from work. on sunday, daniel drove all the way back from work at a constant speed of x miles per hour. on monday, daniel drove the first 32 miles back from work at ( 2 x ) miles per hour, and the rest of the way at ( x / 2 ) miles per hour. the time it took daniel to drive back from work on monday is longer than the time it took him to drive back from work on sunday by what percent ?\nOptions: a. 10 %, b. 20 %, c. 30 %, d. 40 %, e. 50 %", "output": [ "b" ] }, { "id": "task1678-52e58085cc7841f2a35729fc9bcacadf", "input": "Problem: the length of a rectangle is halved, while its breadth is tripled. watis the % change in area ?\nOptions: a. 43 %, b. 47 %, c. 50 %, d. 65 %, e. 68 %", "output": [ "c" ] }, { "id": "task1678-592567d195c843478ea04bae91f678fe", "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": "task1678-764a707b41864f349603aa695e33da67", "input": "Problem: a goods train runs at the speed of 72 km / hr and crosses a 270 m long platform in 26 sec. what is the length of the goods train ?\nOptions: a. 278, b. 166, c. 151, d. 250, e. 109", "output": [ "d" ] }, { "id": "task1678-812faf51d2f84c86b44b56104f0bd3cd", "input": "Problem: the volume of water inside a swimming pool doubles every hour. if the pool is filled to its full capacity within 8 hours, in how many hours was it filled to one quarter of its capacity ?\nOptions: ['a. 2', 'b. 4', 'c. 5', 'd. 6', 'e. 7']", "output": [ "d" ] }, { "id": "task1678-e2e7422f9a6a4626bb54794e321cee4d", "input": "Problem: if pintu is coded as 79523 in a certain code language, how would you code mintu in the same language ?\nOptions: a. 13426, b. 14236, c. 49523, d. 14263, e. 15263", "output": [ "c" ] }, { "id": "task1678-048e9f36cfac4d7a87b355e983179a11", "input": "Problem: there is a rectangular prism made of 1 in cubes that has been covered in tin foil. there are exactly 128 cubes that are not touching any tin foil on any of their sides. if the width of the figure created by these 128 cubes is twice the length and twice the height, what is the measure y in inches of the width of the foil covered prism ?\nOptions: a. 4, b. 6, c. 8, d. 9, e. 10", "output": [ "e" ] }, { "id": "task1678-abfacbe8ce94444b99ac1365d0fd87ab", "input": "Problem: evaluate: 2.5 + 0.0005\nOptions: a. 2000, b. 3000, c. 1000, d. 5000, e. 4000", "output": [ "d" ] }, { "id": "task1678-1523ad9c698047ffb92f3e126d709eb3", "input": "Problem: it costs $ 2 for the first 1 / 5 hour to use the laundry machine at the laundromat. after the first ¼ hour it costs $ 12 per hour. if a certain customer uses the laundry machine for 2 hours and 15 minutes, how much will it cost him ?\nOptions: a. $ 25., b. $ 26., c. $ 29., d. $ 30., e. $ 31.", "output": [ "c" ] }, { "id": "task1678-be93777d964443dda0ea69ecee0d9c77", "input": "Problem: a train 200 m long can cross an electric pole in 5 sec and then find the speed of the train ?\nOptions: a. 114, b. 124, c. 134, d. 144, e. 154", "output": [ "d" ] }, { "id": "task1678-6377bdeba13b4335bb6d0c4e512d6cfb", "input": "Problem: water is leaking out from a cylinder container at the rate of 0.31 m ^ 3 per minute. after 10 minutes, the water level decreases 1 / 9 meters. what is value of the radius in meters ?\nOptions: a. 2, b. 3, c. 4, d. 6, e. 9", "output": [ "b" ] }, { "id": "task1678-865e607387a14a3dbcb9ae0d77229cc5", "input": "Problem: a person crosses a 800 m long street in 5 minutes. what is his speed in km per hour ?\nOptions: a. 1.23, b. 2.86, c. 4.36, d. 9.25, e. 9.61", "output": [ "e" ] }, { "id": "task1678-0c86244ce0104286bc3e98edbe931687", "input": "Problem: the ratio, by volume, of soap to alcohol to water in a certain solution is 20: 50: 80. the solution will be altered so that the ratio of soap to alcohol is doubled while the ratio of soap to water is halved. if the altered solution will contain 100 cubic centimeters of alcohol, how many cubic centimeters of water will it contain ?\nOptions: a. 520, b. 640, c. 700, d. 750, e. 800", "output": [ "b" ] }, { "id": "task1678-1659739f8c22487c80e1031b50c53ee4", "input": "Problem: in a 100 m race, sam beats john by 5 seconds. on the contrary, if sam allowed john to start 15 m ahead of sam, then sam and john reach the finishing point at the same time. how long does sam take to run the 100 m race ?\nOptions: a. 4 seconds, b. 25 seconds, c. 29 seconds, d. 21 seconds, e. 17 seconds", "output": [ "e" ] }, { "id": "task1678-2d21f9bc903b44bb9254f2e68a1e2b05", "input": "Problem: a 150 meter long train crosses a man standing on the platform in 3 sec. what is the speed of the train ?\nOptions: a. 176 kmph, b. 108 kmph, c. 176 kmph, d. 134 kmph, e. 180 kmph", "output": [ "e" ] }, { "id": "task1678-cdac29ecb71d464ea0b2c414d8ea909c", "input": "Problem: in an examination, 300 students appeared. out of these students; 29 % got first division, 54 % got second division and the remaining just passed. assuming that no student failed; find the number of students who just passed.\nOptions: a. 51, b. 37, c. 54, d. 99, e. 01", "output": [ "a" ] }, { "id": "task1678-26a197fc8efb4978a6791937727f8c16", "input": "Problem: the length of rectangle is thrice its breadth and its perimeter is 104 m, find the area of the rectangle ?\nOptions: a. 507 sq m, b. 356 sq m, c. 452 sq m, d. 428 sq m, e. 525 sq m", "output": [ "a" ] }, { "id": "task1678-5e307b4625c4459a9d8901bd40c78b09", "input": "Problem: if x + y = 20, x - y = 36, for integers of x and y, x = ?\nOptions: a. 20, b. 25, c. 28, d. 20, e. 42", "output": [ "c" ] }, { "id": "task1678-709650f0a7a34e62992df2726f5b48d5", "input": "Problem: if x, y is 20 %, 25 % greater than z then how much percentage is x smaller than y ?\nOptions: a. 3 1 / 13 %, b. 3 %, c. 3 11 / 13 %, d. 4 %, e. none of these", "output": [ "c" ] }, { "id": "task1678-8b9b5b76218143058aa8ba09f4d64292", "input": "Problem: the sale price of an article including the sales tax is rs. 616. the rate of sales tax is 10 %. if the shopkeeper has made a profit of 14 %, then the cost price of the article is :\nOptions: a. 500, b. 540, c. 555, d. 664, e. 5598", "output": [ "b" ] }, { "id": "task1678-cba8252330954784b75b8e7f9d48922c", "input": "Problem: the speed of a boat in still water is 14 km / hr and the rate of current is 5 km / hr. the distance travelled downstream in 8 minutes is\nOptions: a. 1.6 km, b. 2.5 km, c. 3.6 km, d. 4 km, e. none of these", "output": [ "b" ] }, { "id": "task1678-7d309abd14254a72bd4bccacbe6d7d1f", "input": "Problem: what is the tens digit of 6 ^ 19 ?\nOptions: a. 1, b. 3, c. 5, d. 7, e. 9", "output": [ "e" ] }, { "id": "task1678-5fb8126df5a545eabcac823eda4d82f6", "input": "Problem: aa is two digit number then m times its cube of aa has 1 in its tens place then what is m.\nOptions: a. 3, b. 4, c. 5, d. 6, e. 7", "output": [ "e" ] }, { "id": "task1678-4bdcca8d55e941669c4f1ed3ac253206", "input": "Problem: a bag contains 3 blue and 5 white marbles. one by one, marbles are drawn out randomly until only two are left in the bag. what is the probability w that out of the two, one is white and one is blue ?\nOptions: a. 15 / 56, b. 41 / 56, c. 13 / 28, d. 15 / 28, e. 5 / 14", "output": [ "d" ] }, { "id": "task1678-af279de4e18a48d382caa6a0487a8b3c", "input": "Problem: the curved surface of a sphere is 64 π cm 2. find its radius ?\nOptions: ['a. 8', 'b. 3', 'c. 4', 'd. 9', 'e. 7']", "output": [ "c" ] }, { "id": "task1678-72d55230fd914d9fbaa69d091a548cbc", "input": "Problem: dhoni spent 25 percent of his earning last month on rent and 10 percent less than what he spent on rent to purchase a new dishwasher. what percent of last month ' s earning did dhoni have left over ?\nOptions: a. 50 %, b. 55 %, c. 60 %, d. 62 %, e. 52.5 %", "output": [ "e" ] }, { "id": "task1678-6aedf0e5838f49f0aeed144d25b103c7", "input": "Problem: a present value of a machine is $ 800. its value depletion rate is 10 % per annum then find the machine value after 2 years ?\nOptions: a. $ 900, b. $ 810, c. $ 915, d. $ 715, e. $ 648", "output": [ "e" ] }, { "id": "task1678-a2ae5b00476b4c3b8c78279dd2a90d65", "input": "Problem: the effective annual rate of interest corresponding to a nominal rate of 16 % per annum payable half - yearly is ?\nOptions: a. 16.64 %, b. 16.07 %, c. 16.08 %, d. 16.09 %, e. 16.19 %", "output": [ "a" ] }, { "id": "task1678-4ef3d8d4214241609b80b75e13b9d580", "input": "Problem: cost of 2 bats and 3 balls is rs. 1300. the cost of 3 bats and 2 balls is rs. 1200. the cost of each balls is more than that of each bat by ?\nOptions: a. 50, b. 100, c. 110, d. 120, e. 130", "output": [ "b" ] }, { "id": "task1678-4c0b40da04444857ae1340c55f3e3caf", "input": "Problem: m = { - 6, - 5, - 4, - 3, - 2 } t = { - 2, - 1, 1, 2, 3 } if an integer is to be randomly selected from set m above and an integer is to be randomly selected from set t above, what is the probability that the product of the two integers will be negative ?\nOptions: a. 0, b. 1 / 3, c. 2 / 5, d. 1 / 2, e. 3 / 5", "output": [ "e" ] }, { "id": "task1678-c71f0b04255e4270a8a42e2522e7571e", "input": "Problem: what will be the vulgar fraction of 0.5\nOptions: a. 3 / 5, b. 1 / 2, c. 3 / 2, d. 3 / 7, e. 3 / 8", "output": [ "b" ] }, { "id": "task1678-4898fe7ce7954ed1aec75412dc3cb590", "input": "Problem: what is the total cost of 2 sandwiches at $ 2.45 each and 4 sodas at $ 0.87 each ?\nOptions: a. $ 8.38, b. $ 6.85, c. $ 8.46, d. $ 10.08, e. $ 11.85", "output": [ "a" ] }, { "id": "task1678-ac83d09ada994bd6aeb5820f152ba0e6", "input": "Problem: two goods trains each 500 m long are running in opposite directions on parallel tracks. their speeds are 50 km / hr and 30 km / hr respectively. find the time taken by the slower train to pass the driver of the faster one ?\nOptions: a. 22, b. 27, c. 45, d. 99, e. 12", "output": [ "c" ] }, { "id": "task1678-dd6f45afe55a45118f6d92215ace3187", "input": "Problem: set x consists of all two - digit primes and set y consists of all positive even multiples of 5 less than 100. if the two sets are combined into one, what will be the range of the new set ?\nOptions: a. 87, b. 89, c. 90, d. 92, e. 95", "output": [ "a" ] }, { "id": "task1678-faf349d395524fcdab7c4136f392271d", "input": "Problem: a woman complete a journey in 5 hours. she travels first half of the journey at the rate of 21 km / hr and second half at the rate of 24 km / hr. find the total journey in km.\nOptions: a. 334 km., b. 216 km., c. 112 km., d. 224 km., e. 544 km.", "output": [ "c" ] }, { "id": "task1678-00f40f69f19c43b7976fc019b7d354d4", "input": "Problem: a rectangular field is to be fenced on three sides leaving a side of 34 feet uncovered. if the area of the field is 680 sq. ft, how many feet of fencing will be required ?\nOptions: a. 74 ft, b. 88 ft, c. 22 ft, d. 11 ft, e. 66 ft", "output": [ "a" ] }, { "id": "task1678-1ca8c4ac9e9b40cdbedf8d82aea2b603", "input": "Problem: how many shots of 1 cm radius can be prepared from a sphere of 6 cm radius ?\nOptions: a. 33, b. 88, c. 216, d. 288, e. 299", "output": [ "c" ] }, { "id": "task1678-778892dd58ea48da96a6b17faa8fb2bf", "input": "Problem: a man can do a piece of work in 5 days, but with the help of his son, he can finish it in 4 days. in what time can the son do it alone ?\nOptions: a. 5, b. 5 1 / 2, c. 7 1 / 2, d. 6, e. 20", "output": [ "e" ] }, { "id": "task1678-8876cf72f33746a0a9b2308fd09cb172", "input": "Problem: for a certain exam, a score of 58 was 2 standard deviations below mean and a score of 98 was 3 standard deviations above mean. what was the standard deviation for the exam ?\nOptions: a. 7, b. 6, c. 8, d. 0, e. 2", "output": [ "c" ] }, { "id": "task1678-e9bef45b41004b62a798ddf6726be3ff", "input": "Problem: a man & his wife appear in an interview for 2 vacancies in the same post. the probability of husband ' s selection is 1 / 7 & the probability of wife ' s selection is 1 / 5. what is the probability that only 1 of them is selected ?\nOptions: a. 1 / 3, b. 2 / 3, c. 2 / 7, d. 3 / 11, e. 4 / 5", "output": [ "c" ] }, { "id": "task1678-20a3500abe734ac893e299666357c68c", "input": "Problem: find the length of the wire required to go 11 times round a square field containing 27889 m 2.\nOptions: a. 7348, b. 3388, c. 2667, d. 8766, e. 66711", "output": [ "a" ] }, { "id": "task1678-2d0a8623cbb04f80a21cf50d590ddc26", "input": "Problem: a movie buff owns movies on dvd and on blu - ray in a ratio of 7: 2. if she buys 4 more blu - ray movies, that ratio would change to 13: 4. if she owns movies on no other medium, what was the original number of movies in her library before the extra purchase ?\nOptions: a. 22, b. 28, c. 77, d. 99, e. 234", "output": [ "e" ] }, { "id": "task1678-4cc852b348684680bdc23d6bb33c6fed", "input": "Problem: there are 25 balls in a jar. you take out 5 blue balls without putting them back inside, and now the probability of pulling out a blue ball is 1 / 5. how many blue balls were there in the beginning ?\nOptions: a. 12., b. 9., c. 8., d. 7., e. 6.", "output": [ "b" ] }, { "id": "task1678-c790c3c74b124fec9e7abdf5e94a4f89", "input": "Problem: a circular well with a diameter of 4 metres, is dug to a depth of 24 metres. what is the volume of the earth dug out ?\nOptions: a. 32 m 3, b. 36 m 3, c. 40 m 3, d. 44 m 3, e. 301.6", "output": [ "e" ] }, { "id": "task1678-6008902856d548289da21a609f2d750a", "input": "Problem: priya and her father differ in their ages by 31 years. after 8 years. if the sum of their ages will be 69, their present ages are\nOptions: a. 11, 42, b. 12, 24, c. 15, 42, d. 16, 19, e. 33, 44", "output": [ "a" ] }, { "id": "task1678-10808a3baabb43b1bed06d9d8fc5280c", "input": "Problem: if 7 spiders make 7 webs in 7 days, then how many days are needed for 1 spider to make 1 web ?\nOptions: a. 1, b. 7, c. 3, d. 14, e. 16", "output": [ "b" ] }, { "id": "task1678-c4d9ae5b1d39446db2998bfedb02330c", "input": "Problem: the price of lunch for 13 people was $ 207 including a 15 % gratuity for service. what was the average price per person, excluding the gratuity ?\nOptions: a. 11.73, b. 12, c. 13.85, d. 14, e. 15.87", "output": [ "c" ] }, { "id": "task1678-063a273527334e6ca900cd19c28c48e8", "input": "Problem: a shopkeeper sold an article at $ 1800 with 20 % profit. then find its cost price ?\nOptions: a. $ 1000, b. $ 1500, c. $ 1850, d. $ 1600, e. $ 2000", "output": [ "b" ] }, { "id": "task1678-f1235037b17d4430ae5219119bf80a72", "input": "Problem: find the principle on a certain sum of money at 5 % per annum for 2 years if the amount being rs. 1120 ?\nOptions: a. 1018, b. 1067, c. 1977, d. 1056, e. 1097", "output": [ "a" ] }, { "id": "task1678-557ce4e9c2134dc2a597bc9f6247b993", "input": "Problem: a man swims downstream 24 km and upstream 16 km taking 4 hours each time, what is the speed of the man in still water ?\nOptions: a. 8, b. 5, c. 24, d. 12, e. 36", "output": [ "b" ] }, { "id": "task1678-2e3edeefd16e4790ba305ca538ad45cb", "input": "Problem: when positive integer k is divided by 5, the remainder is 2. when k is divided by 6, the remainder is 5. if k is less than 38, what is the remainder when k is divided by 7 ?\nOptions: a. 2, b. 4, c. 3, d. 5, e. 6", "output": [ "c" ] }, { "id": "task1678-aff670f71d9947efad7609f88dc07db5", "input": "Problem: a alone can do a piece of work in 6 days and b alone in 8 days. a and b undertook to do it for rs. 6000. with the help of c, they completed the work in 3 days. how much is to be paid to c ?\nOptions: a. s. 375, b. s. 400, c. s. 600, d. s. 750, e. s. 850", "output": [ "d" ] }, { "id": "task1678-70c121af54274ca98c28114bd00d5a92", "input": "Problem: a can do a job in 9 days and b can do it in 27 days. a and b working together will finish twice the amount of work in - - - - - - - days ?\nOptions: a. 22 days, b. 18 days, c. 22 6 / 2 days, d. 27 days, e. 9 days", "output": [ "b" ] }, { "id": "task1678-aa4f96bceefb4fb18b285909214f9672", "input": "Problem: what will be the remainder when 13 ^ 36 is divided by 2196 ?\nOptions: a. 0, b. 1, c. 12, d. 2195, e. 5", "output": [ "b" ] }, { "id": "task1678-1722d1bbc8114c948846eba00b39a6db", "input": "Problem: for what value of x, is | x – 5 | + | x + 5 | + | x | = 27 ?\nOptions: a. 0, b. 3, c. - 3, d. 9, e. - 9", "output": [ "d" ] }, { "id": "task1678-872d443a289a40159dde6d14d627b32d", "input": "Problem: if an organization were to sell n tickets for a theater production, the total revenue from ticket sales would be 20 percent greater than the total costs of the production. if the organization actually sold all but 5 percent of the n tickets, the total revenue from ticket sales was what percent greater than the total costs of the production ?\nOptions: a. 4 %, b. 10 %, c. 14 %, d. 15 %, e. 18 %", "output": [ "c" ] }, { "id": "task1678-63768edd2d404938bee3a5c7c513f742", "input": "Problem: virginia, adrienne, and dennis have taught history for a combined total of 96 years. if virginia has taught for 9 more years than adrienne and for 12 fewer years than dennis, for how many years has dennis taught ?\nOptions: a. 23, b. 32, c. 35, d. 41, e. 42", "output": [ "e" ] }, { "id": "task1678-4608cae025064e8593f6f08892876761", "input": "Problem: the average salary of 20 people in the shipping department at a certain firm is $ 1000. the salary of 10 of the employees is $ 600 each and the salary of 6 of the employees is $ 200 each. what is the average salary of the remaining employees ?\nOptions: a. $ 2500, b. $ 3200, c. $ 4500, d. $ 5000, e. $ 5200", "output": [ "b" ] }, { "id": "task1678-0ca7e3c0f1924e4db2759a126b70ec57", "input": "Problem: an aeroplane covers a certain distance of 670 kmph in 6 hours. to cover the same distance in 6 1 / 4 hours, it must travel at a speed of\nOptions: a. 440, b. 540, c. 643, d. 740, e. 250", "output": [ "c" ] }, { "id": "task1678-e420ce76518f4e5c83b31d3b97a9cdf5", "input": "Problem: a cube is divided into 216 identical cubelets. each cut is made parallel to some surface of the cube. but before doing that, the cube is painted with green on one set of opposite faces, red on another set of opposite faces, and blue on the third set of opposite faces. how many cubelets are painted with exactly one colour ?\nOptions: ['a. 72', 'b. 84', 'c. 96', 'd. 108', 'e. 120']", "output": [ "c" ] }, { "id": "task1678-b6ebe4559c8545dab434add9c8149eba", "input": "Problem: a sum fetched a total simple interest of $ 4061.25 at the rate of 9 p. c. p. a. in 5 years. what is the sum ?\nOptions: a. $ 8829, b. $ 2840, c. $ 6578, d. $ 7782, e. $ 8926", "output": [ "e" ] }, { "id": "task1678-ec80234e074e4032a46d7057507683c3", "input": "Problem: the average of 5 consecutive odd numbers is 55. what is the difference between the highest and lowest numbers ?\nOptions: a. 2, b. 5, c. 8, d. 9, e. 10", "output": [ "c" ] }, { "id": "task1678-e3ab98d0a5e54b7d8bda55bf08c92716", "input": "Problem: in a class of 25 students in an examination in maths 3 students scored 95 marks each, 5 get zero each and the average of the rest was 45. what is the average of the whole class ?\nOptions: a. a. 47, b. b. 45.6, c. c. 42, d. d. 48, e. e. 49", "output": [ "c" ] }, { "id": "task1678-697618c281f04547b1acfbed1b5d4029", "input": "Problem: 18.05 ã — 0.001 = ?\nOptions: a. 0.1805, b. 0.01805, c. 1.805, d. 0.001805, e. none of these", "output": [ "b" ] }, { "id": "task1678-57e30d6be51f4117b2c2b31e88f30760", "input": "Problem: a school has 4 section of chemistry in class x having 40, 35, 45 and 42 students. the mean marks obtained in chemistry test are 50, 60, 55 and 45 respectively for the 4 sections. determine the overall average of marks per student.\nOptions: a. 50.25, b. 52.25, c. 51.25, d. 53.25, e. none of the above", "output": [ "b" ] }, { "id": "task1678-8a81d6bb64df46e7bb74bf8cd4013e77", "input": "Problem: ajay can walk 7 km in 1 hour. in how many hours he can walk 80 km ?\nOptions: a. 5 hrs, b. 11.4 hrs, c. 15.5 hrs, d. 20.4 hrs, e. 30 hrs", "output": [ "b" ] }, { "id": "task1678-b2f168b72fb146b98fc7a9040cf56fc1", "input": "Problem: the percentage profit earned by selling an article for rs. 1320 is equal to the percentage loss incurred by selling the same article for rs. 1280. at what price should the article be sold to make 25 % profit ?\nOptions: a. 3000, b. 1230, c. 2000, d. 1625, e. 3400", "output": [ "d" ] }, { "id": "task1678-36ecc83771764b2b85fca30996242a28", "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": "task1678-a3c30398c71a4664a67d7b80f6a0e0fb", "input": "Problem: 130 women can complete a work in 7 days and 10 children take 14 days to complete the work. how many days will 5 women and 10 children take to complete the work ?\nOptions: a. 8 days, b. 6 days, c. 7 days, d. 9 days, e. 13 days", "output": [ "e" ] }, { "id": "task1678-1fcb635984024e2a94274b08af3f0725", "input": "Problem: a grocer has a sale of rs. 3435, rs. 3920, rs. 3855, rs. 4230 and rs. 3560 for 5 consecutive months. how much sale must he have in the sixth month so that he gets an average sale of rs. 3500 ?\nOptions: a. 500, b. 1000, c. 6000, d. 7000, e. 2000", "output": [ "e" ] }, { "id": "task1678-5ba8bcded5d2410dbdf25a3b4000ce89", "input": "Problem: a number of 55 marbles is to be divided and contain with boxes. if each box is to contain 3, 4, or 5 marbles, what is the largest possible number of boxes ?\nOptions: a. 10, b. 12, c. 15, d. 16, e. 19", "output": [ "e" ] }, { "id": "task1678-059aa4d340ae4f7388bfd6a68e656cc4", "input": "Problem: the length of a side of a hexagon is 7 inches. what is the perimeter ?\nOptions: a. 48, b. 42, c. 44, d. 45, e. 40", "output": [ "b" ] }, { "id": "task1678-fd828b09950049d981e1e9dac059ff44", "input": "Problem: working alone, printers x, y, and z can do a certain printing job, consisting of a large number of pages, in 12, 25, and 30 hours, respectively. what is the ratio of the time it takes printer x to do the job, working alone at its rate, to the time it takes printers y and z to do the job, working together at their individual rates ?\nOptions: a. 4 / 11, b. 1 / 2, c. 15 / 22, d. 150 / 11, e. 11 / 4", "output": [ "d" ] }, { "id": "task1678-c4e14972dec947b882594260c6fff35f", "input": "Problem: how many numbers from 45 to 110 are exactly divisible by 12 ?\nOptions: a. 5, b. 7, c. 6, d. 11, e. 12", "output": [ "c" ] }, { "id": "task1678-672eb673ab4c43119581614f0fd7a7cb", "input": "Problem: 40 is subtracted from 60 % of a number, the result is 50. find the number ?\nOptions: a. 150, b. 330, c. 277, d. 279, e. 712", "output": [ "a" ] }, { "id": "task1678-adf6a88b76584fa4b67efa375faafa15", "input": "Problem: a man has rs. 10350 in the form of rs. 50 notes and rs. 500 notes. the total number of notes are 108. find the number of notes of rs. 50 denomination.\nOptions: a. 15, b. 21, c. 17, d. 19, e. 97", "output": [ "e" ] }, { "id": "task1678-282e89eadf87434a9dce0ca00616de9a", "input": "Problem: a hiker walked for 3 days. she walked 18 miles on the first day, walking 3 miles per hour. on the second day she walked for one less hour but she walked one mile per hour, faster than on the first day. on the third day 5 miles per hour for 6 hours. how many miles in total did she walk ?\nOptions: a. 68, b. 44, c. 58, d. 60, e. 62", "output": [ "a" ] }, { "id": "task1678-bc5b0b92fc5748b4ba978b686482f5da", "input": "Problem: a sum of money at simple interest amounts to rs. 815 in 3 years and to rs. 878 in 4 years. the sum is :\nOptions: a. 500, b. 698, c. 626, d. 910, e. none", "output": [ "c" ] }, { "id": "task1678-df08c68826d2471cb3c6fd608d55a366", "input": "Problem: after a storm deposits 120 billion gallons of water into the city reservoir, the reservoir is 85 % full. if the original contents of the reservoir totaled 220 billion gallons, the reservoir was approximately what percentage full before the storm ?\nOptions: a. 45 %, b. 48 %, c. 55 %, d. 58 %, e. 65 %", "output": [ "c" ] }, { "id": "task1678-2468ebee6b7a44eaa125af430744cbb3", "input": "Problem: find the value of 72517 x 9999 = m ?\nOptions: a. 345434667, b. 246465757, c. 465767867, d. 725097483, e. 645354643", "output": [ "d" ] }, { "id": "task1678-9b14050d8b0f4287b232c37b4ae2dacc", "input": "Problem: 10 % people of a village in sri lanka died by bombardment, 15 % of the remainder left the village on account of fear. if now the population is reduced to 2907, how much was it in the beginning ?\nOptions: a. a. 3800, b. b. 4200, c. c. 4400, d. d. 4500, e. e. 4600", "output": [ "a" ] }, { "id": "task1678-05e29e8027424a198fe7f57abba0242a", "input": "Problem: average of 5 numbers is 20, and the sum of 3 of the numbers is 48, what is the average of the other 2 numbers ?\nOptions: a. 24, b. 34, c. 29, d. 35, e. 26", "output": [ "e" ] }, { "id": "task1678-527a9481985d494cb8133e812cf5113d", "input": "Problem: the population of a city increases by 4 % per year but due to migration it decrease by 1 % per years. what will be the percentage increase in population in 3 years ?\nOptions: a. 9 %, b. 9.27 %, c. 27 %, d. 12 %, e. none of these", "output": [ "b" ] }, { "id": "task1678-2fd1176252d74b94977494615980864b", "input": "Problem: a rectangle measures 8 cm on length and its diagonal measures 17 cm. what is the perimeter of the rectangle ?\nOptions: ['a. 44 cm', 'b. 42 cm', 'c. 46 cm', 'd. 49 cm', 'e. 41 cm']", "output": [ "c" ] }, { "id": "task1678-9c037dc77c7d4f89a61f88cb611723d2", "input": "Problem: $ 6,000 is deposited in a savings account that pays 10 % annual interest compounded semiannually. to the nearest dollar, how much is in the account at the end of the year ?\nOptions: a. $ 6615.15, b. $ 6615.00, c. $ 6714.10, d. $ 6655.55, e. $ 6698.20", "output": [ "b" ] }, { "id": "task1678-8647855ad1784a6e9c08c64779bb6d66", "input": "Problem: a person spends 40 % of his salary on food, 25 % on house rent, 15 % on entertainment and 5 % on conveyance. if his savings at the end of the month is rs. 1200, then his salary per month in rupees is :\nOptions: a. 4000, b. 6000, c. 8000, d. 10000, e. none of these", "output": [ "c" ] }, { "id": "task1678-507399b955754583a1bb801acba5516c", "input": "Problem: in 1982 and 1983, company b ’ s operating expenses were $ 10.0 million and $ 12.0 million, respectively, and its revenues were $ 15.6 million and $ 18.8 million, respectively. what was the percent increase in company b ’ s profit ( revenues minus operating expenses ) from 1982 to 1983 ?\nOptions: a. 3 %, b. 16 2 / 3 %, c. 25 %, d. 21 3 / 7 %, e. 60 %", "output": [ "d" ] }, { "id": "task1678-4b9c9594af7945bba3c344b439f70d1d", "input": "Problem: a train running at the speed of 48 km / hr crosses a pole in 9 seconds. what is the length of the train ?\nOptions: a. 140, b. 130, c. 120, d. 170, e. 160", "output": [ "c" ] }, { "id": "task1678-044e3e025ad54614af59dc51ea3dca77", "input": "Problem: a, b, k start from the same place and travel in the same direction at speeds of 30 km / hr, 40 km / hr, 60 km / hr respectively. b starts seven hours after a. if b and k overtake a at the same instant, how many hours after a did k start ?\nOptions: a. 3, b. 4.5, c. 4, d. d. 5.5, e. e. 14", "output": [ "e" ] }, { "id": "task1678-94575e4ea69347149bb8d92b1af924f0", "input": "Problem: the average height of 35 boys in a class was calculated as 185 cm. it has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm. find the actual average height of the boys in the class ( round off your answer to two decimal places ). ?\nOptions: a. 178.27 cm, b. 183.29 cm, c. 978.29 cm, d. 178.89 cm, e. 176.29 cm", "output": [ "b" ] }, { "id": "task1678-606437e009284a589abc16a876d99b47", "input": "Problem: the cost to park a car in a certain parking garage is $ 10.00 for up to 2 hours of parking and $ 1.75 for each hour in excess of 2 hours. what is the average ( arithmetic mean ) cost per hour to park a car in the parking garage for 9 hours ?\nOptions: a. $ 1.09, b. $ 1.67, c. $ 2.225, d. $ 2.47, e. $ 2.50", "output": [ "d" ] }, { "id": "task1678-205ffae0f24b447db816257424579bac", "input": "Problem: at the wholesale store you can buy an 8 - pack of hot dogs for $ 1.55, a 20 - pack for $ 3.05, and a 250 - pack for $ 22.95. what is the greatest number of hot dogs you can buy at this store with $ 205 ?\nOptions: a. 1,108, b. 2,100, c. 2,140, d. 2,124, e. 2,256", "output": [ "c" ] }, { "id": "task1678-bf1225fd1a4b48b5a98e07098b1ca352", "input": "Problem: a train which has 410 m long, is running 45 kmph. in what time will it cross a person moving at 9 kmph in same direction ?\nOptions: a. 56 sec, b. 41 sec, c. 36 sec, d. 29 sec., e. 19 sec.", "output": [ "b" ] }, { "id": "task1678-1221f92f47f64ab3b29e1ce5acd3ed55", "input": "Problem: the ratio of males to females in a class is 2: 3. the career preferences of the students in the class are represented in a circle graph. if the area of the graph allocated to each career preference is proportional to the number of students who have that career preference, how many degrees of the circle should be used to represent a career that is preferred by one - half of the males and three - fourths of the females in the class ?\nOptions: a. 218, b. 226, c. 234, d. 242, e. 250", "output": [ "c" ] }, { "id": "task1678-549acc9620464c01891fcad37f65ca7d", "input": "Problem: a man can row upstream at 25 kmph and downstream at 45 kmph, and then find the speed of the man in still water ?\nOptions: a. 11, b. 77, c. 30, d. 88, e. 35", "output": [ "e" ] }, { "id": "task1678-7e813b622caf4f60956a426481b58161", "input": "Problem: the least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is :\nOptions: a. 2377, b. 1683, c. 2677, d. 9972, e. 1611", "output": [ "b" ] }, { "id": "task1678-7b733454f7774fd7b0694a6feb320757", "input": "Problem: 1 men takes 37 $ to eat a pizza in restaurant such that it have discount multiple of 4 if u eat more pizza. discount increase by multiple of 4 every pizza u eat. for 1 pizza 0 % off. for 2 pizza % off for 3 pizza 8 % off. pizza without discount is 10 $. how much that man eats the pizza.\nOptions: a. 2, b. 3, c. 4, d. 5, e. 6", "output": [ "b" ] }, { "id": "task1678-421c85c8dda24b4f8eb8e18a922d8683", "input": "Problem: 5 people can write 25 book in 20 days working 8 hour a day. then in how many day 125 can be written by 75 people ?\nOptions: a. 25 / 3, b. 19 / 3, c. 20 / 3, d. 25 / 3, e. 22 / 3", "output": [ "c" ] }, { "id": "task1678-fd7ed5eb9e1f4053aff9aa3ca44f0851", "input": "Problem: if there are only 2 wheelers and 4 wheelers parked in a school located at the heart of the city, find the number of 4 wheelers parked there if the total number of wheels is 46 ?\nOptions: a. 11, b. 12, c. 13, d. 14, e. 15", "output": [ "a" ] }, { "id": "task1678-d47020cde2fb4c07a191b985b073d4ea", "input": "Problem: three 6 faced dice are thrown together. the probability that exactly two dice show the same number on them is\nOptions: a. 5 / 15, b. 5 / 12, c. 5 / 19, d. 5 / 12, e. 5 / 11", "output": [ "b" ] }, { "id": "task1678-c4d90b5c9aac4a799d939a789e9152d7", "input": "Problem: a train 250 m long running at 72 kmph crosses a platform in 25 sec. what is the length of the platform ?\nOptions: a. 150 m, b. 200 m, c. 250 m, d. 270 m, e. 300 m", "output": [ "c" ] }, { "id": "task1678-a8bb709aeade4bdda3034578b01532ee", "input": "Problem: a 9 % stock yields 8 %. the market value of the stock is :\nOptions: a. rs. 72, b. rs. 92, c. rs. 112.50, d. rs. 116.50, e. none of these", "output": [ "c" ] }, { "id": "task1678-82154993bd9d4a1abd736ae293ba52f3", "input": "Problem: one side of a rectangular field is 15 m and one of its diagonal is 18 m. find the area of the field.\nOptions: a. 100, b. 120, c. 150, d. 148.5, e. none", "output": [ "d" ] }, { "id": "task1678-87cd795cd1ba4bd19e06e744c5b06f26", "input": "Problem: in one hour, a boat goes 19 km / hr along the stream and 9 km / hr against the stream. the speed of the boat in still water ( in km / hr ) is :\nOptions: a. 12 kmph, b. 13 kmph, c. 14 kmph, d. 15 kmph, e. 16 kmph", "output": [ "c" ] }, { "id": "task1678-9a35ed96b5bd4e459fc61efd66196925", "input": "Problem: the average of temperatures at noontime from monday to friday is 60; the lowest one is 40, what is the possible maximum range of the temperatures ?\nOptions: a. 100, b. 25, c. 40, d. 45, e. 75", "output": [ "a" ] }, { "id": "task1678-9de177ca980a46b3935deefb333fca6b", "input": "Problem: find out the square of a number which when doubled exceeds its one sixth by 11 ?\nOptions: a. 36, b. 25, c. 19, d. 26, e. 17", "output": [ "a" ] }, { "id": "task1678-0909060ee4a84082a8dae6e401c4bfb1", "input": "Problem: a train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. find the length of train ?\nOptions: a. 45 m, b. 50 m, c. 55 m, d. 60 m, e. 65 m", "output": [ "b" ] }, { "id": "task1678-0654c97d378e47719e3eb626b83ba4c4", "input": "Problem: a number is doubled and 9 is added. if resultant is trebled, it becomes 63. what is that number\nOptions: a. 6, b. 10, c. 12, d. 14, e. 15", "output": [ "a" ] }, { "id": "task1678-09a9ba73a98c4230858bfaa01b53e847", "input": "Problem: a = 5 ^ 10 - 625 ^ 2 and a / x is an integer, where x is a positive integer greater than 1, such that it does not have a factor p such that 1 < p < x, then how many different values for x are possible ?\nOptions: a. none, b. one, c. two, d. three, e. four", "output": [ "c" ] }, { "id": "task1678-d6b63bb00d544ca29b2ccfa00efe35e9", "input": "Problem: a 80 cm long wire is to be cut into two pieces so that one piece will be 3 / 5 th of the other, how many centimeters will the shorter piece be ?\nOptions: a. a. 30, b. b. 20, c. c. 83, d. d. 21, e. e. 52", "output": [ "a" ] }, { "id": "task1678-d685f1ed3de6410c9d44001513df74a7", "input": "Problem: a library has an average of 510 visitors on sundays and 240 on other day. the average number of visitors in a month of 25 days starting with sunday is\nOptions: a. 342, b. 285, c. 290, d. 295, e. 275", "output": [ "a" ] }, { "id": "task1678-8a12c825faac406699622e55d3fd4f0f", "input": "Problem: a total of $ 20,000 was invested in two certificates of deposit at simple annual interest rates of 6 percent and 12 percent, respectively. if the total interest on the two certificates was $ 1,440 at the end of one year, what fractional part of the $ 20.000 was invested at the higher rate ?\nOptions: a. 3 / 8, b. 2 / 5, c. 1 / 5, d. 3 / 5, e. 3 / 4", "output": [ "c" ] }, { "id": "task1678-caa4fc885a4c41e1a415c39962743467", "input": "Problem: the ratio, by volume, of soap to alcohol to water in a certain solution is 6: 30: 90. the solution will be altered so that the ratio of soap to alcohol is doubled while the ratio of soap to water is halved. if the altered solution will contain 150 cubic centimeters of alcohol, how many cubic centimeters of water will it contain ?\nOptions: a. 1200, b. 1300, c. 1500, d. 1800, e. 1900", "output": [ "d" ] }, { "id": "task1678-b602e3381aca4001a68f530c3630460b", "input": "Problem: a waiter ' s salary consists of his salary and tips. during one week his tips were 7 / 4 of his salary. what fraction of his income came from tips ?\nOptions: a. 4 / 9, b. 5 / 4, c. 5 / 8, d. 5 / 9, e. 7 / 11", "output": [ "e" ] }, { "id": "task1678-053de97ad858454dbc6c9c947c297f38", "input": "Problem: the total age of a and b is 15 years more than the total age of b and c. c is how many year younger than\nOptions: a. 14 years, b. 12 years, c. 56 years, d. 66 years, e. 15 years", "output": [ "e" ] }, { "id": "task1678-d456ee3a2ce44b2aa8e4cf9f0e4ed4b9", "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": "task1678-54b6bce0c22a476e833ae5a4fca3c8f2", "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": "task1678-9c4e9623567f4c7a9c6653128ba12d71", "input": "Problem: what is the value of 100 p 2 ?\nOptions: a. 9801, b. 12000, c. 5600, d. 9900, e. none of these", "output": [ "d" ] }, { "id": "task1678-6f170e9fb6a24abe8c39c593c6d91d04", "input": "Problem: convert 2 / 5 to a decimal\nOptions: a. 0.1, b. 0.2, c. 0.3, d. 0.4, e. 0.5", "output": [ "d" ] }, { "id": "task1678-eb78f5e6e3524b83861dfebe330b989c", "input": "Problem: what is remainder of the division ( 1625 * 1627 * 1629 ) / 12 ?\nOptions: a. 3, b. 2, c. 1, d. 0, e. 4", "output": [ "a" ] }, { "id": "task1678-e95181285eb345cf93e74b677b83f706", "input": "Problem: if henry were to add 8 gallons of water to a tank that is already 3 / 4 full of water, the tank would be 7 / 8 full. how many gallons of water would the tank hold if it were full ?\nOptions: a. 25, b. 40, c. 64, d. 80, e. 96", "output": [ "c" ] }, { "id": "task1678-e0c5380429f545b7af6f84c0250b16ef", "input": "Problem: find compound interest on $ 4000 at 15 % per annum for 2 years 4 months, compounded annually.\nOptions: a. 1554.5, b. 1509.5, c. 1108.5, d. 1107.5, e. 1100.5", "output": [ "a" ] }, { "id": "task1678-7a5f1a85e92142b08a6cdac5f4855996", "input": "Problem: if x = 1 + √ 2, then what is the value of x 4 - 4 x 3 + 4 x 2 + 3 ?\nOptions: a. - 1, b. 0, c. 4, d. 2, e. 3", "output": [ "c" ] }, { "id": "task1678-654940e2a9bd484faf7e1c4f53b86395", "input": "Problem: a train is 485 meter long is running at a speed of 45 km / hour. in what time will it pass a bridge of 140 meter length\nOptions: a. 20 seconds, b. 30 seconds, c. 40 seconds, d. 50 seconds, e. none of these", "output": [ "d" ] }, { "id": "task1678-b95fca14a8f94d85bd83322f05f069f0", "input": "Problem: if x gets 25 % more than y and y gets 20 % more than z, the share of z out of rs. 1110 will be :\nOptions: a. rs. 300, b. rs. 200, c. rs. 240, d. rs. 350, e. none of these", "output": [ "a" ] }, { "id": "task1678-5494e271525d4946aed808df467ee449", "input": "Problem: a train moves with a speed of 135 kmph. its speed in metres per second is\nOptions: a. 10.8, b. 37.5, c. 30, d. 38.8, e. none", "output": [ "b" ] }, { "id": "task1678-0f455f9cac55472986e7733fecee6cb7", "input": "Problem: a 50 ml after - shave lotion at 30 % alcohol is mixed with 30 ml of pure water. what is the percentage of alcohol in the new solution ?\nOptions: a. 16.75 %, b. 17.75 %, c. 18.75 %, d. 19.75 %, e. none of these", "output": [ "c" ] }, { "id": "task1678-a7f08e8300a443178ba7f81d3124eac5", "input": "Problem: what is the remainder when 1201 × 1202 × 1205 × 1207 is divided by 6 ?\nOptions: a. 1, b. 2, c. 3, d. 4, e. 5", "output": [ "d" ] }, { "id": "task1678-e49db69cf0e94432b23620e559ee3ce3", "input": "Problem: what is the value of 11 ^ x - 11 ^ ( x + 2 ), where x is the largest integer such that 11 ^ x is a factor of 30030 ?\nOptions: a. - 1331, b. - 1320, c. - 121, d. - 120, e. - 1", "output": [ "b" ] }, { "id": "task1678-fc74b2b2878a4fe5ad1dd98430c57bbc", "input": "Problem: what percent of 7.2 kg is 18 gms ?\nOptions: a. 25, b. 66, c. 288, d. 19, e. 17", "output": [ "a" ] }, { "id": "task1678-dd79d4eb97b24645829fa468080e7d13", "input": "Problem: a ’ s speed is 17 / 14 times that of b. if a and b run a race, what part of the length of the race should a give b as a head start, so that the race ends in a dead heat ?\nOptions: a. 1 / 14, b. 1 / 17, c. 3 / 14, d. 3 / 17, e. 1 / 31", "output": [ "d" ] }, { "id": "task1678-70454d16a35c4a6088cf5fb9e777ca6a", "input": "Problem: a invested $ 100 in a business after 6 months b invested $ 200 in the business. end of the year if they got $ 100 as profit. find a shares ?\nOptions: a. $ 100, b. $ 75, c. $ 20, d. $ 120, e. $ 50", "output": [ "e" ] }, { "id": "task1678-8cebe1daca23430fbedea445b3dd241a", "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": "task1678-13c2c9529c924e1081068562b14cfcc6", "input": "Problem: a shopkeeper labeled the price of his articles so as to earn a profit of 40 % on the cost price. he then sold the articles by offering a discount of 5 % on the labeled price. what is the actual percent profit earned in the deal ?\nOptions: a. 18 %, b. 20 %, c. 17 %, d. 33 %, e. none of these", "output": [ "d" ] }, { "id": "task1678-667e8d02afd746cd9ebce838dc076f97", "input": "Problem: the total of 336 of 20 paise and 25 paise make a sum of rs. 71. the no of 20 paise coins is\nOptions: a. 238, b. 277, c. 278, d. 260, e. 288", "output": [ "d" ] }, { "id": "task1678-946adca1f3e54477a1120160e5b26a8b", "input": "Problem: a factory produces 6400 toys per week. if the workers at this factory work 3 days a week and if these workers make the same number of toys everyday, how many toys are produced each day ?\nOptions: a. 1375 toys, b. 2133 toys, c. 3375 toys, d. 4375 toys, e. 5375 toys", "output": [ "b" ] }, { "id": "task1678-f5b84e9ba71543e39ccb76aea5582d95", "input": "Problem: walking at 5 / 6 th of its usual speed a cab is 15 mnts late. find its usual time to cover the journey ?\nOptions: a. 25 m, b. 45 m, c. 32 m, d. 75 m, e. 62 m", "output": [ "d" ] }, { "id": "task1678-b7c8fc1defb34370add899077dc153c7", "input": "Problem: a part - time employee whose hourly wage was increased by 20 percent decided to reduce the number of hours worked per week so that the employee ' s total weekly income would remain unchanged. by what percent should the number of hours worked be reduced ?\nOptions: a. 11, b. 15, c. 16.66, d. 17, e. 18", "output": [ "c" ] }, { "id": "task1678-649c65656570411a96d394c92c4c364c", "input": "Problem: a person purchased a tv set for rs. 16000 and a dvd player for rs. 6250. he sold both the items together for rs. 35600. what percentage of profit did he make ?\nOptions: a. 80 %, b. 49 %, c. 40 %, d. 60 %, e. 90 %", "output": [ "d" ] }, { "id": "task1678-8b85b516e0be4595b09fc2d920d3b94c", "input": "Problem: two trains each 180 m in length are running on the same parallel lines in opposite directions with the speed of each 80 kmph. in what time will they cross each other completely ?\nOptions: a. 7.8 sec, b. 8.1 sec, c. 8.3 sec, d. 8.2 sec, e. 8.4 sec", "output": [ "b" ] }, { "id": "task1678-547b7e798ce749129a9562e36de6b227", "input": "Problem: 20 buckets of water fill a tank when the capacity of each bucket is 13.5 litres. how many buckets will be required to fill the same tank if the capacity of each bucket is 9 litres ?\nOptions: a. 30, b. 32, c. 60, d. data inadequate, e. none of these", "output": [ "a" ] }, { "id": "task1678-23a14d3888eb4b4db4aa45a0d4bda4df", "input": "Problem: the number of the members of a club is more than 50 and less than 80. when 4 people sit at a table, other people exactly divided to 8 - people groups ( 8 people sit at a table. or 7 - people groups ( 7 people sit at a table.. if the members are divided to 9 - people groups, how many people will be left ?\nOptions: a. 0, b. 2, c. 4, d. 6, e. 8", "output": [ "d" ] }, { "id": "task1678-f889e3f5cd6c4d93b0888965151b7347", "input": "Problem: a train running at the speed of 72 km / hr crosses a pole in 9 seconds. find the length of the train.\nOptions: a. 150 meter, b. 286 meter, c. 180 meter, d. 288 meter, e. 265 meter", "output": [ "c" ] }, { "id": "task1678-3ad5f097c0b34e0ba5e3bfb574601bb3", "input": "Problem: two clocks are set correctly at 1 0 ' clock in the afternoon. one keeps correct time. the other gains 5 seconds per minute. that evening, when the fast clock shows 6: 20, what does the correct clock show ?\nOptions: a. 4.0, b. 5.0, c. 6.0, d. 7.2, e. 3.5", "output": [ "c" ] }, { "id": "task1678-8533c7f560f3421b90e0d702cfe50933", "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": "task1678-19fa364bad3d40c9a57823b834434536", "input": "Problem: a shopkeeper sold an article offering a discount of 5 % and earned a profit of 22.55 %. what would have been the percentage of profit earned if no discount was offered ?\nOptions: a. 60 %, b. 29 %, c. 39 %, d. 56 %, e. 73 %", "output": [ "b" ] }, { "id": "task1678-fcabe3137d064c7e91e2127a9d91b26b", "input": "Problem: 5 men are equal to as many women as are equal to 8 boys. all of them earn $ 90 only. men ’ s wages are ?\nOptions: a. $ 4, b. $ 6, c. $ 7, d. $ 9, e. $ 3", "output": [ "b" ] }, { "id": "task1678-a20ce5fed8934ea58cc78f0713bfda3b", "input": "Problem: two trains of equal are running on parallel lines in the same direction at 48 km / hr and 36 km / hr. the faster train passes the slower train in 36 sec. the length of each train is ?\nOptions: a. 60 m, b. 72 m, c. 80 m, d. 82 m, e. 84 m", "output": [ "a" ] }, { "id": "task1678-0153c4b82ba74338bc73193355a0947a", "input": "Problem: how many positive integers less than 20 can be expressed as the sum of a positive multiple of 2 and a positive multiple of 3 ?\nOptions: a. 14, b. 13, c. 12, d. 11, e. 10", "output": [ "a" ] }, { "id": "task1678-724a2f0eb312441e87bab904c197d636", "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": "task1678-df70b64a8ee24352a4b9d40b17d62496", "input": "Problem: a cycle is bought for rs. 1500 and sold for rs. 1620, find the gain percent ?\nOptions: a. 11, b. 8, c. 10, d. 20, e. 12", "output": [ "b" ] }, { "id": "task1678-5bba7bc7d9a84cfe98ebd94e6101472e", "input": "Problem: a teacher grades students ’ tests by subtracting twice the number of incorrect responses from the number of correct responses. if student a answers each of the 100 questions on her test and receives a score of 76, how many questions did student a answer correctly ?\nOptions: a. 92, b. 60, c. 73, d. 82, e. 91", "output": [ "a" ] }, { "id": "task1678-80a9b0e0bfcc4d189afe2a61ece420d4", "input": "Problem: ravi purchased a refrigerator and a mobile phone for rs. 15000 and rs. 8000 respectively. he sold the refrigerator at a loss of 4 percent and the mobile phone at a profit of 11 percent. overall he make a.\nOptions: a. 228, b. 288, c. 27, d. 200, e. 280", "output": [ "e" ] }, { "id": "task1678-7813a10163594e1f997180faeaa4a6cb", "input": "Problem: in a certain candy store, 22 % of the customers are caught sampling the candy and are charged a small fine, but 5 % of the customers who sample the candy are not caught. what is the total percent of all customers who sample candy ?\nOptions: a. 22 %, b. 23 %, c. 24 %, d. 25 %, e. 34 %", "output": [ "b" ] }, { "id": "task1678-35ea1ae400734dcf9d62ffc1f0920ffe", "input": "Problem: the average of first 22 natural numbers is ?\nOptions: a. 11.6, b. 11.5, c. 12.9, d. 15.4, e. 15.1", "output": [ "b" ] }, { "id": "task1678-914a5f88db77430bad4b5bf847952d8d", "input": "Problem: in a certain deck of cards, each card has a positive integer written on it, in a multiplication game a child draws a card and multiplies the integer on the card with the next large integer. if the each possible product is between 10 and 400, then the least and greatest integer on the card would be\nOptions: a. 3 and 15, b. 3 and 20, c. 4 and 13, d. 4 and 14, e. 5 and 14", "output": [ "b" ] }, { "id": "task1678-193bcd55bf074421afac39d0f7ad0a3f", "input": "Problem: p, q and r have $ 4000 among themselves. r has two - thirds of the total amount with p and q. find the amount with r ?\nOptions: a. 2400, b. 2403, c. 3998, d. 2539, e. 1600", "output": [ "e" ] }, { "id": "task1678-248ed64d3d1b4a9085aadf0e8a543ce0", "input": "Problem: rahul and sham together can complete a task in 35 days, but rahul alone can complete same work in 60 days. calculate in how many days sham can complete this work ?\nOptions: a. 84 days, b. 82 days, c. 76 days, d. 68 days, e. 60 days", "output": [ "a" ] }, { "id": "task1678-b00c42b06dce4287a62cdc1b44cb07ae", "input": "Problem: a train running at the speed of 60 km / hr crosses a pole in 6 sec. what is the length of the train ?\nOptions: a. 356, b. 278, c. 127, d. 100, e. 150", "output": [ "d" ] }, { "id": "task1678-d8182a94f90d4ed2a1452436d6841cc3", "input": "Problem: lucy bought a 1 - year, 10000 certificate of deposit that paid interest at an annual rate of 8 percent compunded semiannually. what was the total amount of interest paid on this certificate at maturity ?\nOptions: a. 10464, b. 864, c. 816, d. 800, e. 480", "output": [ "d" ] }, { "id": "task1678-1486b6265f1e4c80a0e4b6209627a301", "input": "Problem: if x ^ 2 + ( 1 / x ^ 2 ) = 6, x ^ 4 + ( 1 / x ^ 4 ) = ?\nOptions: a. 10, b. 11, c. 12, d. 34, e. 15", "output": [ "d" ] }, { "id": "task1678-f08f1649a42b4e6eafdde6ddbab9eb8e", "input": "Problem: a bag marked at $ 125 is sold for $ 120. the rate of discount is ?\nOptions: a. 10 %, b. 25 %, c. 20 %, d. 50 %, e. 4 %", "output": [ "e" ] }, { "id": "task1678-2a722e61873b4f5faebcfb2b85895ad7", "input": "Problem: the radius of a cylindrical vessel is 8 cm and height is 3 cm. find the whole surface of the cylinder ?\nOptions: a. 308 sq cm, b. 220 sq cm, c. 440 sq cm, d. 553.1 sq cm, e. 138 sq cm", "output": [ "d" ] }, { "id": "task1678-480dd1a7b00d4562a9b5f73f4ddafee4", "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": "task1678-1804c244b516435f92dff75570e6b7e1", "input": "Problem: for what value of x, is | x – 3 | + | x + 1 | + | x | = 10 ?\nOptions: a. 0, b. 3, c. - 3, d. 4, e. - 2", "output": [ "d" ] }, { "id": "task1678-24d9feb16fbc49c5a808506f418c9498", "input": "Problem: when n is divided by 5 the remainder is 3. what is the remainder when ( n + 3 ) ^ 2 is divided by 5 ?\nOptions: a. 0, b. 1, c. 2, d. 3, e. 4", "output": [ "b" ] }, { "id": "task1678-e3f250f0ceb14b92bcda636ef233136a", "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": "task1678-42eea9540456409e9b80d1321f51bc40", "input": "Problem: a and b can do a work in 5 days and 10 days respectively. a starts the work and b joins him after 4 days. in how many days can they complete the remaining work ?\nOptions: a. 6 days, b. 2 / 3 days, c. 8 days, d. 3 days, e. 9 days", "output": [ "b" ] }, { "id": "task1678-22ecc0bfa6ef45a9832b7fe6a6f1d346", "input": "Problem: ( 935421 x 625 ) = ?\nOptions: a. 542622125, b. 584632125, c. 544638125, d. 584638125, e. none of these", "output": [ "d" ] }, { "id": "task1678-289828e69fcd40febd994b091fd01e1c", "input": "Problem: a certain fraction is equivalent to 3 / 5. if the numerator of the fraction is increased by 4 and the denominator is doubled, the new fraction is equivalent to 1 / 3. what is the sum of the numerator and denominator of the original fraction ?\nOptions: a. 49, b. 35, c. 28, d. 56, e. 21", "output": [ "d" ] }, { "id": "task1678-3b84a883f6334bdc84e8440b163cb1ff", "input": "Problem: a survey was sent to 65 customers, 7 of whom responded. then the survey was redesigned and sent to another 63 customers, 9 of whom responded. by approximately what percent did the response rate increase from the original survey to the redesigned survey ?\nOptions: a. 2 %, b. 4 %, c. 14 %, d. 28 %, e. 63 %", "output": [ "b" ] }, { "id": "task1678-e57c4966a5a1464cb88a2a49c49f84bb", "input": "Problem: bert and rebecca were looking at the price of a condominium. the price of the condominium was 100 % more than bert had in savings, and separately, the same price was also 60 % more than rebecca had in savings. what is the ratio of what bert has in savings to what rebecca has in savings.\nOptions: a. 1: 5, b. 2: 5, c. 3: 5, d. 4: 5, e. 1: 1", "output": [ "d" ] }, { "id": "task1678-00e4c945ee994dfdb4b2b7fc95b19147", "input": "Problem: a man swims downstream 30 km and upstream 20 km taking 5 hours each time, what is the speed of the man in still water ?\nOptions: a. 7, b. 8, c. 2, d. 5, e. 4", "output": [ "d" ] }, { "id": "task1678-acf4159362ad46d6b72002c0b82f0675", "input": "Problem: andrew purchased 8 kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg. how much amount did he pay to the shopkeeper ?\nOptions: a. 1000, b. 1055, c. 1060, d. 1075, e. 1080", "output": [ "b" ] }, { "id": "task1678-3cb080b4cfc343a09a0c90fbdaa423fc", "input": "Problem: how many integers v are prime numbers in the range 200 < v < 220 ?\nOptions: a. 1, b. 2, c. 3, d. 4, e. 5", "output": [ "a" ] }, { "id": "task1678-8d9c172a7cfa404280a58a077fa0d94f", "input": "Problem: if the average of 20 digits is 500 and the average of 14 of them is 390, calculate the average of the remaining 6 numbers ?\nOptions: a. 756.7, b. 751.7, c. 753.7, d. 752.7, e. 722.7", "output": [ "a" ] }, { "id": "task1678-0fa7d1701f924b45a105e38e569b1801", "input": "Problem: two bullet train s 140 m and 180 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks. the time ( in seconds ) which they take to cross each other, is :\nOptions: a. 15.8 sec., b. 11.52 sec., c. 11.8 sec., d. 10.8 sec., e. 08.8 sec.", "output": [ "b" ] }, { "id": "task1678-259fc0ea85fc479497170c4e4ae650d7", "input": "Problem: a producer of tea blends two varieties of tea from two tea gardens one costing rs 18 per kg and another rs 20 per kg in the ratio 5: 3. if he sells the blended variety at rs 25 per kg, then his gain percent is\nOptions: a. 12 %, b. 33 %, c. 14 %, d. 15 %, e. 16 %", "output": [ "b" ] }, { "id": "task1678-dbe37b5e4b4e4ef28e08df3869384f38", "input": "Problem: the length of a rectangular plot is thrice its width. if the area of the rectangular plot is 768 sq meters, then what is the width ( in meters ) of the rectangular plot ?\nOptions: a. 24 m, b. 16 m, c. 35 m, d. 54 m, e. 43 m", "output": [ "b" ] }, { "id": "task1678-732a391eb50d4c9d96315275fb51a2c3", "input": "Problem: a palindrome is a number that reads the same front - to - back as it does back - to - front ( e. g. 202, 575, 1991, etc. ) p is the smallest integer greater than 500 that is both a prime and a palindrome. what is the sum of the digits of p ?\nOptions: a. 3, b. 4, c. 5, d. 6, e. 7", "output": [ "b" ] }, { "id": "task1678-864f87a77c5948f594572bfb09c437f2", "input": "Problem: if p / q = 4 / 5, then the value of 25 / 7 + { ( 2 q - p ) / ( 2 q + p ) } is ?\nOptions: a. 4, b. 34, c. 1, d. 2, e. 3", "output": [ "a" ] }, { "id": "task1678-a4e1c04eb2ab46bb8d0eda4c9883b38e", "input": "Problem: a retailer bought a machine at a wholesale price of $ 90 and later on sold it after a 10 % discount of the retail price. if the retailer made a profit equivalent to 20 % of the whole price, what is the retail price r of the machine ?\nOptions: a. 81, b. 100, c. 120, d. 135, e. 160", "output": [ "c" ] }, { "id": "task1678-2a8f10b770dd401cb9e8dbb709e31393", "input": "Problem: bottle r contains 350 capsules and costs $ 6.25. bottle t contains 130 capsules and costs $ 2.99. what is the difference between the cost per capsule for bottle r and the cost per capsule for bottle t ?\nOptions: a. $ 0.25, b. $ 0.12, c. $ 0.0052, d. $ 0.003, e. $ 0.002", "output": [ "c" ] }, { "id": "task1678-0f1eb77ab1a04f33af3ba398b9d73c12", "input": "Problem: the milk level in a rectangular box measuring 58 feet by 25 feet is to be lowered by 6 inches. how many gallons of milk must be removed ? ( 1 cu ft = 7.5 gallons )\nOptions: a. 100, b. 250, c. 750, d. 5437.5, e. 5635.5", "output": [ "d" ] }, { "id": "task1678-4e330ff19dfb4d609c666f7b0e38e3c6", "input": "Problem: on a certain date, pat invested $ 7,000 at x percent annual interest, compounded annually. if the total value of the investment plus interest at the end of 10 years will be $ 28,000, in how many years total will the total value of the investment plus interest increase to $ 56,000 ?\nOptions: a. 15, b. 16, c. 18, d. 20, e. 24", "output": [ "a" ] }, { "id": "task1678-b4b45e43962641fd8204fec6f5c639d7", "input": "Problem: on a certain date, pat invested $ 10,000 at x percent annual interest, compounded annually. if the total value of the investment plus interest at the end of 12 years will be $ 40,000, in how many years, the total value of the investment plus interest will increase to $ 160,000 ?\nOptions: a. 15, b. 16, c. 18, d. 20, e. 24", "output": [ "e" ] }, { "id": "task1678-c95158a4f35643798ffcfd67bbd99bba", "input": "Problem: a rectangular block 15 cm by 30 cm by 75 cm is cut into an exact number of equal cubes. find the least possible number of cubes ?\nOptions: ['a. 6', 'b. 40', 'c. 15', 'd. 10', 'e. 22']", "output": [ "d" ] }, { "id": "task1678-4be772888aaa4e999292ef69e563a13d", "input": "Problem: after replacing an old member by a new member, it was found that the average age of 5 members of a club is the same as it was 3 years ago. what is the difference between the ages of the replaced and the new member ?\nOptions: a. 12, b. 13, c. 14, d. 15, e. 16", "output": [ "d" ] }, { "id": "task1678-4ec22404a0d74b42be9b3eb2a0896678", "input": "Problem: zinc and copper are melted together in the ratio 9: 11. what is the weight of melted mixture, if 26.1 kg of zinc has been consumed in it ?\nOptions: a. 58 kg, b. 60 kg, c. 64 kg, d. 70 kg, e. none", "output": [ "a" ] }, { "id": "task1678-17b7a66120c343ba91d3a110fad4e0cb", "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": "task1678-c4128f54f5ab4464ad288342e1455eba", "input": "Problem: a person x started at 3 hours earlier at 40 km / h from a place p, then another person y followed him at 60 km / h. started his journey at 3 o ' clock, afternoon. what is the diference in time when x was 30 km ahead of y and when y was 30 km ahead of x ?\nOptions: a. 8 h, b. 3 h, c. 6 h, d. 3 h, e. 1 h", "output": [ "b" ] }, { "id": "task1678-fefb746b503f4e2db9b60b6e01457431", "input": "Problem: a room of 5 m 44 cm long and 3 m 74 cm broad is to be paved with squre tiles. find the least number of squre tiles required to cover the floor ?\nOptions: a. 178, b. 128, c. 127, d. 176, e. 171", "output": [ "d" ] }, { "id": "task1678-66f52bb4eeaf4458b3a251a7dbe8ca90", "input": "Problem: if i walk at 6 km / h, i miss the bus by 12 minutes. if i walk at 5 km / h, i reach 14 minutes before the arrival of the bus. how far i walk to reach the bus stand ?\nOptions: a. 13 km, b. 12 km, c. 11 km, d. 6.5 km, e. 5.5 km", "output": [ "a" ] }, { "id": "task1678-9940512e9cf948048a433a462b1b3a9b", "input": "Problem: if 35 % of a number is 24 less than 50 % of that number, then the number is ?\nOptions: a. 180, b. 450, c. 160, d. 170, e. 185", "output": [ "c" ] }, { "id": "task1678-04afb264e174408a89fe26a6e64cc6d2", "input": "Problem: tom opened a shop investing rs. 3000. jose joined him 2 months later, investing rs. 4500. they earned a profit of rs. 5400 after completion of one year. what will be jose ' s share of profit ?\nOptions: a. 3000, b. 2200, c. 2309, d. 2400, e. 3200", "output": [ "a" ] }, { "id": "task1678-2eb619cf9c534a618cd2a8fb0c8ee7d3", "input": "Problem: if the selling price of 60 articles is equal to the cost price of 30 articles, then the loss or gain percent is :\nOptions: a. 55 %, b. 35 %, c. 66 %, d. 45 %, e. 50 %", "output": [ "e" ] }, { "id": "task1678-17f302e466214b13a91fee5085aef4e6", "input": "Problem: there are 5 fictions and 6 non - fictions. how many cases are there such that 2 fictions and 2 non - fictions are selected from them ?\nOptions: a. 90, b. 120, c. 150, d. 180, e. 200", "output": [ "c" ] }, { "id": "task1678-70fb451ad9894f8a9a9a28723e96e959", "input": "Problem: in a certain business school class, p students are accounting majors, q students are finance majors, r students are marketing majors, and s students are strategy majors. if pqrs = 1,155, and if 1 < p < q < r < s, how many students in the class are accounting majors ?\nOptions: a. 3, b. 5, c. 8, d. 11, e. 17", "output": [ "a" ] }, { "id": "task1678-5bf5dff9bebb42298f1847589f470dfd", "input": "Problem: the area of a triangle is with base 4 m and height 6 m ?\nOptions: a. 11 m 2, b. 10 m 2, c. 18 m 2, d. 19 m 2, e. 12 m 2", "output": [ "e" ] }, { "id": "task1678-4bfaff367cd54837b28a3e2412b69a99", "input": "Problem: if 40 sheep eat 40 bags of grass in 40 days. in how many days one sheep will eat one bag of grass ?\nOptions: a. 1, b. 20, c. 40, d. 80, e. 70", "output": [ "c" ] }, { "id": "task1678-7a08d8a3f6f84c18a6c6587b2a92b061", "input": "Problem: increasing the original price of an article by 20 percent and then increasing the new price by 20 percent is equivalent to increasing the original price by\nOptions: a. 40 %, b. 41 %, c. 42 %, d. 43 %, e. 44 %", "output": [ "e" ] }, { "id": "task1678-9a17a3f10dea472d91524cbfa846394d", "input": "Problem: the age of somu is one - third his father ' s. 6 years back he was one - fifth of his father ' s age. what is his persent age ?\nOptions: a. 11, b. 13, c. 14, d. 12, e. 10", "output": [ "d" ] }, { "id": "task1678-cd2cd8a413a6444386fda1a8e23126be", "input": "Problem: john builds a square with a side of 12 cm from some wire. if from the same wire, he builds a rectangle with a width of 6 cm, what will be the length of the rectangle ?\nOptions: ['a. 18 cm', 'b. 19 cm', 'c. 20 cm', 'd. 21 cm', 'e. none']", "output": [ "a" ] }, { "id": "task1678-d2cf420fee2f4e63afcb5a2bf2910f1e", "input": "Problem: a train 560 m long, running with a speed of 63 km / hr will pass a tree in ?\nOptions: a. 15, b. 16, c. 17, d. 28, e. 32", "output": [ "e" ] }, { "id": "task1678-552fce1fb9574e4a8a8ecbc4586ee469", "input": "Problem: the banker â € ™ s gain on a sum due 3 years hence at 12 % per annum is rs. 180. the banker â € ™ s discount is\nOptions: a. rs. 960, b. rs. 840, c. rs. 1020, d. rs. 680, e. none", "output": [ "d" ] }, { "id": "task1678-83f2ab8a830d4e16bc5b387f908a9599", "input": "Problem: 12. what is the dividend. divisor 17, the quotient is 9 and the remainder is 10.\nOptions: a. 150, b. 152, c. 154, d. 163, e. 144", "output": [ "d" ] }, { "id": "task1678-44e23a2873d944179bcb7819a705dabd", "input": "Problem: a lady builds 8 cm length, 15 cm width, and 5 cm height box using 10 cubic cm cubes. what is the minimum number of cubes required to build the box ?\nOptions: a. 107, b. 60, c. 70, d. 89, e. 78", "output": [ "b" ] }, { "id": "task1678-50fe34d5f1964304abe856a152a06db7", "input": "Problem: a furniture dealer purchased a desk for $ 100 and then set the selling price equal to the purchase price plus a markup that was 40 % of the selling price. if the dealer sold the desk at the selling price, what was the amount of the dealer ' s gross profit from the purchase and the sale of the desk ?\nOptions: a. 40 %, b. 45 %, c. 50 %, d. 55 %, e. 60 %", "output": [ "a" ] }, { "id": "task1678-808dca4f22b44f4c94c9e0d183186c65", "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": "task1678-0e883c23f69e43978e0b266147695e6e", "input": "Problem: the diameter of the driving wheel of a bus in 140 cm. how many revolutions per minute must the wheel make in order to keep a speed of 33 kmph ?\nOptions: a. 210, b. 220, c. 125, d. 240, e. 250", "output": [ "c" ] }, { "id": "task1678-c81124bbf02e41129b1b6f28380a8336", "input": "Problem: the population of a bacteria colony doubles every day. if it was started 8 days ago with 2 bacteria and each bacteria lives for 12 days, how large is the colony today ?\nOptions: a. 512, b. 768, c. 1024, d. 2048, e. 4096", "output": [ "a" ] }, { "id": "task1678-ef3c94ca61af420c831b7499f2b8f780", "input": "Problem: how many quarters are equal to 7 dollars ?\nOptions: a. 1, b. 28, c. 12, d. 9, e. 7", "output": [ "b" ] }, { "id": "task1678-57ed5f2cff954b838c01c8e395340441", "input": "Problem: what is 0.1 percent of 12,356 ?\nOptions: a. 0.12356, b. 1.2356, c. 12.356, d. 0.012356, e. 0.0012356", "output": [ "c" ] }, { "id": "task1678-07d8e5ad8b2a49e594406c541e4d8352", "input": "Problem: the difference between the value of a number increased by 25 % and the value of the original number decreased by 30 % is 22. what is the original number ?\nOptions: a. 40, b. 50, c. 65, d. 70, e. 90", "output": [ "a" ] }, { "id": "task1678-9c9979b83cef44cdaf547bd292c82a7c", "input": "Problem: if a - b = 3 and a ^ 2 + b ^ 2 = 33, find the value of ab.\nOptions: a. 12, b. 15, c. 10, d. 18, e. 13", "output": [ "a" ] }, { "id": "task1678-9420906c5427421caf34bc3d85daee59", "input": "Problem: 1: 3 = 1 2 / 3: x. the value of x is ?\nOptions: a. 1, b. 6, c. 7, d. 5, e. 8", "output": [ "d" ] }, { "id": "task1678-b232d28115074526b71f5db8393f9481", "input": "Problem: how many figures are required to number the pages the pages of a book containing 709 pages ?\nOptions: a. 2020, b. 2019, c. 1019, d. 2029, e. 2039", "output": [ "b" ] }, { "id": "task1678-efec642888a14271bf7ae469d9c18dea", "input": "Problem: a cone of height 9 cm with diameter of its base 18 cm is carved out from a wooden solid sphere of radius 9 cm. the percentage of the wood wasted is :\nOptions: ['a. 45 %', 'b. 56 %', 'c. 67 %', 'd. 75 %', 'e. none of these']", "output": [ "d" ] }, { "id": "task1678-7cd918aeb0c245eaa308f5ad43f7852f", "input": "Problem: of the votes cast on a certain proposal, 66 more were in favor of the proposal than were against it. if the number of votes against the proposal was 40 percent of the total vote, what was the total number of votes cast ? ( each vote cast was either in favor of the proposal or against it. )\nOptions: a. 290, b. 310, c. 330, d. 350, e. 370", "output": [ "c" ] }, { "id": "task1678-3fb562de696f416bb3206f016e634eb8", "input": "Problem: a can finish a work in 72 days, b in 9 days and c in 2 days, b and c start the work but are forced to leave after 3 days. the remaining work was done by a in ?\nOptions: a. 30 days, b. 12 days, c. 6 days, d. 7 days, e. 8 days", "output": [ "a" ] }, { "id": "task1678-7440976e51eb4a54b9319e40f8fb45d8", "input": "Problem: the average earning of amechanic for the first 4 days of a week is rs. 25 and for the last 4 days is rs. 22. if heearns rs. 20 on the fourth day, his average earning forthe whole week is ?\nOptions: a. s. 10, b. s. 24, c. s. 30, d. s. 40, e. s. 50", "output": [ "b" ] }, { "id": "task1678-ed3b576d7d4e4c2fae47e794628e4bd6", "input": "Problem: a sum of money deposited at c. i. amounts to rs. 2420 in 2 years and to rs. 3025 in 3 years. find the rate percent ?\nOptions: a. 11, b. 10, c. 28, d. 25, e. 82", "output": [ "d" ] }, { "id": "task1678-2a3c97188aef48f5b141c6f9afe51d97", "input": "Problem: 9 men working 8 hours per day dig 30 m deep. how many extra men should be put to dig to a depth of 50 m working 6 hours per day ?\nOptions: a. 33, b. 66, c. 88, d. 11, e. 281", "output": [ "d" ] }, { "id": "task1678-7f0abbeec39f4cad999af9e081dcbdef", "input": "Problem: a building contractor employs 20 male, 15 female and 5 child workers. to a male worker he pays rs. 25 per day, to a female worker rs. 20 per day and a child worker rs. 8 per day. the average wage per day paid by the contractor is ?\nOptions: a. 19, b. 21, c. 23, d. 25, e. 27", "output": [ "b" ] }, { "id": "task1678-9bdfe36a1fe74f6bacc60b1e7e39494f", "input": "Problem: what is the remainder when 3 ^ 33 is divided by 5 ?\nOptions: a. 0, b. 1, c. 2, d. 3, e. 4", "output": [ "d" ] }, { "id": "task1678-76e1262485e34f1f8938122f205cb2a5", "input": "Problem: find ( 7 x + 2 y ) / ( x - 2 y ) if x / 2 y = 3 / 2 ?\nOptions: a. 23, b. 25, c. 26, d. 27, e. 29", "output": [ "a" ] }, { "id": "task1678-ca70fa11be8b4249851ac830344ac7d2", "input": "Problem: john left home and drove at the rate of 45 mph for 2 hours. he stopped for lunch then drove for another 3 hours at the rate of 45 mph to reach his destination. how many miles did john drive ?\nOptions: a. 235 miles., b. 245 miles., c. 225 miles., d. 265 miles., e. 275 miles.", "output": [ "c" ] }, { "id": "task1678-f1c5615750f346f189b1defe27b13956", "input": "Problem: a statue is being carved by a sculptor. the original piece of marble weighed 190 kg. in the first week 25 percent is cut away. in the second week 15 percent of the remainder is cut away. in the third week the statue is completed when 10 percent of the remainder is cut away. what is the weight of the final statue ?\nOptions: a. 105 kg, b. 103 kg, c. 109 kg, d. 125 kg, e. 117 kg", "output": [ "c" ] }, { "id": "task1678-572a47be486a4ab4adb813de5a571ecf", "input": "Problem: the population of a town increased from 1, 75,000 to 2, 97,500 in a decade. the average percent increase of population per year is\nOptions: a. 4.37 %, b. 5 %, c. 6 %, d. 8.75 %, e. 7 %", "output": [ "e" ] }, { "id": "task1678-4f576fafa84443cf92c91e0f5bef2026", "input": "Problem: in an exam, gibi scored 59 percent, jigi scored 55 percent, mike scored 99 percent and lizzy 67 percent. the maximum score awarded in the exam is 700. find the average mark scored by all the 4 students ?\nOptions: a. 471, b. 490, c. 480, d. 453, e. 456", "output": [ "b" ] }, { "id": "task1678-4179a46f3b754fdc8503e7768a71156c", "input": "Problem: in how many no. between 10 and 50 exactly two of the digits is 5 ?\nOptions: a. 47, b. 65, c. 1, d. 35, e. 65", "output": [ "c" ] }, { "id": "task1678-cd37d54f92364824a7865426e9d28a29", "input": "Problem: john and david work at a hospital with 8 other workers. for an internal review, 2 of the 8 workers will be randomly chosen to be interviewed. what is the probability that john and david will both be chosen ?\nOptions: a. 1 / 30, b. 1 / 25, c. 1 / 20, d. 1 / 28, e. 1 / 30", "output": [ "d" ] }, { "id": "task1678-a420d88c89ca4d8b91796e4df37f627e", "input": "Problem: by selling 8 pens for a rupee a woman loses 25 %. how many for a rupee should he sell in order to gain 25 % ?\nOptions: a. 2, b. 14, c. 3, d. 5, e. 6", "output": [ "d" ] }, { "id": "task1678-e3ffc1fb9a1c4013914177ef2716996d", "input": "Problem: 3.20 can be expressed in terms of percentage as\nOptions: a. 3.20 %, b. 30.2 %, c. 320.00 %, d. 0.320 %, e. none of these", "output": [ "c" ] }, { "id": "task1678-3e7921d69bef4d5aa1c47d77d76d11e7", "input": "Problem: a person was asked to subtract 25 % of a number from the original but he subtracted 25 from the number. his answer was 25 more than correct one. what was the original number ?\nOptions: a. 288, b. 266, c. 288, d. 200, e. 111", "output": [ "d" ] }, { "id": "task1678-fa969ae71d754d89b4bd751cd5f0af4c", "input": "Problem: if x: y is 1: 5 and y: z is 5: 7 then x: z is equal to\nOptions: a. 1: 6, b. 1: 5, c. 1: 4, d. 1: 7, e. 1: 3", "output": [ "d" ] }, { "id": "task1678-45df99bf373c42ffa1f8f43056f48289", "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": "task1678-a7404b8e4cf340d79562f5fa3df239d2", "input": "Problem: maxwell leaves his home and walks toward brad ' s house at the same time that brad leaves his home and runs toward maxwell ' s house. if the distance between their homes is 72 kilometers, maxwell ' s walking speed is 6 km / h, and brad ' s running speed is 12 km / h. what is the distance traveled by maxwell when they meet in the middle ?\nOptions: a. 14, b. 24, c. 16, d. 18, e. 20", "output": [ "b" ] }, { "id": "task1678-54c0cad8a85d41e6b220e425bb1c9c58", "input": "Problem: carolyn bought 17 gumballs, lew bought 12 gumballs, and carey bought x gumballs. the average ( arithmetic mean ) number of gumballs the 3 bought is between 19 and 25, inclusive. what is the difference between the greatest number and the smallest number of gumballs carey could have bought ?\nOptions: a. 18, b. 20, c. 22, d. 24, e. 26", "output": [ "a" ] }, { "id": "task1678-b7b61c1a037f4d83b00c10e14db1dda5", "input": "Problem: a train 250 m long passed a pole in 10 sec. how long will it take to pass a platform 1250 m long ?\nOptions: a. 60 sec, b. 90 sec, c. 120 sec, d. 150 sec, e. 180 sec", "output": [ "a" ] }, { "id": "task1678-b72ebf1a4ad44f1fa5f81c073677a420", "input": "Problem: one ball will drop from a certain height. the height it will reach after rebounding from the floor is 50 percent of the previous height. the total travel is 225 cm when it touches the floor on third time. what is the value of the original height ?\nOptions: a. 80 cm, b. 90 cm, c. 100 cm, d. 120 cm, e. 130 cm", "output": [ "b" ] }, { "id": "task1678-310e5d39b13d4068b5338be60835a22e", "input": "Problem: a man fell in a 30 meter deep well, in one day he climbs 4 meters up and slips 3 meters down. how many days would it take for him to come out of the well ?\nOptions: a. 22, b. 46, c. 17, d. 27, e. 33", "output": [ "d" ] }, { "id": "task1678-5b37b0d8192f43dc91c21a1dc30b4f33", "input": "Problem: if a mixture is 2 ⁄ 7 alcohol by volume and 3 ⁄ 7 water by volume, what is the ratio of the volume of alcohol to the volume of water in this mixture ?\nOptions: a. 3, b. 1 / 3, c. 2 / 3, d. 3 / 5, e. 4 / 5", "output": [ "c" ] }, { "id": "task1678-93b64a1ab7a045da9ef8070a3936719f", "input": "Problem: 20 percent of country y ' s yearly exports come from fruit exports. one - sixth of all fruit exports from country y are orange exports. if country y generates $ 4.25 million from its orange exports, how much money does it generate from its yearly total of exports ?\nOptions: a. $ 21.25 m, b. $ 25.5 m, c. $ 106.25 m, d. $ 127.5 m, e. $ 153 m", "output": [ "d" ] }, { "id": "task1678-343024f568a742d5b903a814e466b06a", "input": "Problem: what is the value of n if the sum of the consecutive odd intergers w from 1 to n equals 169 ?\nOptions: a. 47, b. 25, c. 37, d. 33, e. 29", "output": [ "b" ] }, { "id": "task1678-eb0a212054894311bb92460fdd4c788f", "input": "Problem: indu gave bindu rs. 7500 on compound interest for 2 years at 4 % per annum. how much loss would indu has suffered had she given it to bindu for 2 years at 4 % per annum simple interest ?\nOptions: a. 5, b. 2, c. 9, d. 5, e. 12", "output": [ "e" ] }, { "id": "task1678-f71cce5fb18549aab6b589c52b59ccbe", "input": "Problem: evaluate: 7899665 - 12 * 3 * 2 = ?\nOptions: a. 2455835, b. 2789255, c. 6868575, d. 7899657, e. 1023666", "output": [ "d" ] }, { "id": "task1678-fa2609975a5d416bbb6256dd95c04255", "input": "Problem: a can do a half of certain work in 70 days and b one third of the same in 35 days. they together will do the whole work in ?\nOptions: a. 1 / 65, b. 1 / 62, c. 1 / 63, d. 1 / 60, e. 1 / 61", "output": [ "d" ] }, { "id": "task1678-b00a1660ab2244b79ff56a5621e001af", "input": "Problem: if 9 / ( 1 + 4 / x ) = 1, then x =\nOptions: a. 3, b. 1 / 2, c. 1 / 3, d. - 1 / 3, e. - 3", "output": [ "b" ] }, { "id": "task1678-5a4a6979e1204d4c90e3b3d86c79b963", "input": "Problem: what is the prime factors ’ number of 12 ?\nOptions: a. 2, b. 3, c. 4, d. 5, e. 6", "output": [ "b" ] }, { "id": "task1678-2b020f722b844b44a21f1b85a754caf3", "input": "Problem: in 2 bags, there are to be put together 5 red and 12 white balls, neither bag being empty. how must the balls be divided so as to give a person who draws 1 ball from either bag - the least chance of drawing a red ball ?\nOptions: a. 1 / 32, b. 2 / 32, c. 3 / 32, d. 4 / 32, e. 5 / 32", "output": [ "e" ] }, { "id": "task1678-e8358477f94945238e37f34651af0db7", "input": "Problem: what is the sum of the odd integers from 55 to 75, inclusive ?\nOptions: a. 495, b. 550, c. 555, d. 600, e. 715", "output": [ "e" ] }, { "id": "task1678-c12c0ec03ae749548cdac936f86482a7", "input": "Problem: in the first m games of a team ' s season, the ratio of the team ' s wins to its losses was 1: 2. in the subsequent n games, the ratio of the team ´ s wins to losses was 2: 3. if m: n = 4: 5, what was the ratio of the team ' s wins to its losses for all m + n games ?\nOptions: a. 7: 18, b. 9: 23, c. 10: 17, d. 23: 54, e. 31: 77", "output": [ "c" ] }, { "id": "task1678-1b8ac4926f7c436fb27fe307d4cb5d7c", "input": "Problem: for all even integers n, h ( n ) is defined to be the sum of the even integers between 2 and n, inclusive. what is the value of h ( 20 ) / h ( 10 ) ?\nOptions: a. 1.8, b. 60, c. 6, d. 18, e. 3", "output": [ "e" ] }, { "id": "task1678-ca4dea401f144812a63f1e8b740b2348", "input": "Problem: a shopkeeper sold an article at $ 1170 and gained a 20 % profit. what was the cost price ?\nOptions: a. $ 950, b. $ 975, c. $ 1000, d. $ 1025, e. $ 1050", "output": [ "b" ] }, { "id": "task1678-ff3a18fc96fc4d24b53f9c4fbe6867b7", "input": "Problem: how many positive integers less than 70 have a reminder 01 when divided by 3 ?\nOptions: a. 13, b. 24, c. 35, d. 16, e. 17", "output": [ "b" ] }, { "id": "task1678-72d21150fedc4f408912e208c129d0b4", "input": "Problem: an automobile parts supplier charges $ 25 per package of gaskets. when a customer orders more than 10 packages of gaskets, the supplier charges 4 / 5 the price for each package in excess of 10. during a certain week, the supplier sold 60 packages of gaskets. if 15 percent of the gaskets went to company x, 15 percent to company y, and the rest to company z, what was the total amount, in dollars, that the parts supplier received in payment for the gaskets ?\nOptions: a. 1340, b. 1445, c. 1375, d. 1415, e. 1455", "output": [ "a" ] }, { "id": "task1678-dd20474db74f4c3a8ed8809eeeafafa7", "input": "Problem: suresh started a business, investing rs. 18000. after 3 months and 4 months respectively, rohan and sudhir joined him with capitals of 12000 and 9000. at the end of the year the total profit was rs. 3982. what is the difference between rohan ’ s and sudhir ’ s share in the profit ?\nOptions: a. rs. 362, b. rs. 383, c. rs. 398, d. rs. 399, e. rs. 400", "output": [ "a" ] }, { "id": "task1678-af4d237ed77f4eb88488feba2391f521", "input": "Problem: how many words, with or without meaning, can be formed using all letters of the word orange using each letter exactly once ?\nOptions: a. 700, b. 720, c. 740, d. 760, e. 780", "output": [ "b" ] }, { "id": "task1678-b773733ee07e485194cbcd98fff08b21", "input": "Problem: if p is the product of the integers from 1 to 32, inclusive, what is the greatest integer k for which 3 ^ k is a factor of p ?\nOptions: a. 10, b. 12, c. 14, d. 16, e. 18", "output": [ "c" ] }, { "id": "task1678-029a4553cc3645b98fb46a5a9c6fb448", "input": "Problem: two kinds of vodka are mixed in the ratio 1: 5 and 5: 1 and they are sold fetching the profit 10 % and 20 % respectively. if the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4 / 3 and 5 / 3 times respectively, then the mixture will fetch the profit of\nOptions: a. 21 %, b. 20 %, c. 21 % 18 %, d. 23 %, e. can not be determined", "output": [ "c" ] }, { "id": "task1678-cb22f1b451ef40c3b5ba5d902f11110f", "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": "task1678-a55dedc698534ef9864289273ce7370a", "input": "Problem: the average of the marks of 25 students in a class is 70. if the marks of each student are doubled, find the new average ?\nOptions: a. 140, b. 100, c. 85, d. 160, e. 190", "output": [ "a" ] }, { "id": "task1678-9cfc890479724a47bb3bd6522c9d56f6", "input": "Problem: a train after traveling for 50 km meets with an accident and then proceeds at 3 / 4 of its former speed and arrives at its destination 35 minutes late. had the accident occurred 24 km farther, it would have reached the destination only 25 minutes late. what is the speed w of the train.\nOptions: a. a. 45, b. b. 33, c. c. 48, d. d. 55, e. e. 61", "output": [ "c" ] }, { "id": "task1678-65e41411c30e4f23b77020b14922eb9e", "input": "Problem: amit and ananthu can do a work in 10 days and 20 days respectively. amit started the work and left after 2 days. ananthu took over and completed the work. in how many days was the total work completed ?\nOptions: a. 18 days, b. 20 days, c. 23 days, d. 25 days, e. 27 days", "output": [ "a" ] }, { "id": "task1678-71ede21f146247bb8e52b78369f780b2", "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": "task1678-52476804d52f4df7913faceb8e0395e2", "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": "task1678-9dc5442074ec4482bac09e1e42d1bf20", "input": "Problem: for the past n days, the average ( arithmetic mean ) daily production at a company was 50 units. if today ' s production of 110 units raises the average to 55 units per day, what is the value of n ?\nOptions: a. 9, b. 11, c. 13, d. 15, e. 17", "output": [ "b" ] }, { "id": "task1678-c8dc417998ed44389f2777bd431e92b0", "input": "Problem: a train is 360 meter long is running at a speed of 50 km / hour. in what time will it pass a bridge of 140 meter length ?\nOptions: a. 87, b. 69, c. 36, d. 72, e. 21", "output": [ "c" ] }, { "id": "task1678-04a7e752295d48d68f831ffe227c3af4", "input": "Problem: the population of locusts in a certain swarm doubles every two hours. if 4 hours ago there were 1,000 locusts in the swarm, in approximately how many hours will the swarm population exceed 128,000 locusts ?\nOptions: a. 12, b. 8, c. 4, d. 10, e. 16", "output": [ "d" ] }, { "id": "task1678-98f241b414ac460bab3e9bf11f0f8054", "input": "Problem: the cash difference between the selling prices of an book at a profit of 12 % and 20 % is $ 3. the ratio of the two selling prices is :\nOptions: a. 55: 23, b. 52: 33, c. 52: 53, d. 45: 53, e. 14: 15", "output": [ "e" ] }, { "id": "task1678-a2e9ece21f9e40d7aeaabe5d6830c0bd", "input": "Problem: mixture contains alcohol and water in the ratio 4: 3. if 5 liters of water is added to the mixture, the ratio becomes 4: 5. find the quantity of alcohol in the given mixture.\nOptions: a. 10, b. 99, c. 27, d. 22, e. 29", "output": [ "a" ] }, { "id": "task1678-017a8ce504c243d88f7621027f1c9f58", "input": "Problem: a train 310 m long is running at a speed of 45 km / hr. in what time will it pass a bridge 140 m long ?\nOptions: a. 40, b. 56, c. 41, d. 36, e. 34", "output": [ "d" ] }, { "id": "task1678-b85dbde4ce16429d948c70f765fb39f3", "input": "Problem: a merchant gets a 5 % discount on each meter of fabric he buys after the first 2,000 meters and a 7 % discount on every meter after the next 1,500 meters. the price, before discount, of one meter of fabric is $ 2, what is the total amount of money the merchant spends on 6,500 meters of fabric ?\nOptions: a. $ 11,320, b. $ 12,430, c. $ 13,540, d. $ 14,650, e. $ 15,760", "output": [ "b" ] }, { "id": "task1678-f83be655a67c4fffbd1a122bf937fb8b", "input": "Problem: two pipes a and b can fill a tank in 36 hours and 46 hours respectively. if both the pipes are opened simultaneously, how much time will be taken to fill the tank ?\nOptions: a. 20.195 hrs, b. 21.195 hrs, c. 22.195 hrs, d. 23.195 hrs, e. 20.495 hrs", "output": [ "a" ] }, { "id": "task1678-258248e9b385419198825db7ab6addc3", "input": "Problem: a grocer has a sale of rs. 5435, rs. 5927, rs. 5855, rs. 6230 and rs. 5562 for 5 consecutive months. how much sale must he have in the sixth month so that he gets an average sale of rs. 5500 ?\nOptions: a. 4991, b. 5991, c. 3991, d. 6542, e. 6995", "output": [ "c" ] }, { "id": "task1678-486aff7d8e0d4be8bf26c56a16a4a09c", "input": "Problem: find the result of equation of the ellipse whose foci are at ( 0, - 5 ) and ( 0, 5 ) and the length of its major axis is 14.\nOptions: a. 5, b. 4, c. 3, d. 2, e. 1", "output": [ "e" ] }, { "id": "task1678-9614c9ca4d3b4c20b75b1c8ceaa78534", "input": "Problem: if p represents the product of the first 16 positive integers, then p is not a multiple of\nOptions: a. 99, b. 84, c. 72, d. 65, e. 51", "output": [ "e" ] }, { "id": "task1678-23b0a9f61acf44c386733b4b97a285fc", "input": "Problem: if 12 machine can finish a job in 40 days, then how many more machines would be needed to finish the job in one - fourth less time ?\nOptions: a. a. 4, b. b. 8, c. c. 10, d. d. 12, e. e. 16", "output": [ "a" ] }, { "id": "task1678-7c690323d690423fb277c5f7f097c626", "input": "Problem: following an increase in prices, the price of a candy box was 20 pounds and the price of a can of soda was 6 pounds. if the price of a candy box was raised by 25 %, and the price of a can of soda was raised by 50 %. what was the price of a box of candy plus a can of soda before prices were raised ?\nOptions: a. 11., b. 20., c. 13., d. 14., e. 14.5", "output": [ "b" ] }, { "id": "task1678-4ea746bf9a564928b30ebe0d7028180a", "input": "Problem: a rectangular farm has to be fenced one long side, one short side and the diagonal. if the cost of fencing is rs. 14 per meter. the area of farm is 1200 m 2 and the short side is 30 m long. how much would the job cost ?\nOptions: a. 1276, b. 1680, c. 2832, d. 1299, e. 1236", "output": [ "b" ] }, { "id": "task1678-b4f44a2174c4483cb9dc4a2571c54af9", "input": "Problem:. a car covers a distance of 810 km in 5 hours. find its speed ?\nOptions: a. 104, b. 55, c. 162, d. 174, e. 2761", "output": [ "c" ] }, { "id": "task1678-ef6696a3c63745b3bf86bd9393180683", "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": "task1678-ae2d6792356b4a809146bf48915575e1", "input": "Problem: in a photography exhibition, some photographs were taken by octavia the photographer, and some photographs were framed by jack the framer. jack had framed 24 photographs taken by octavia, and 12 photographs taken by other photographers. if 36 of the photographs in the exhibition were taken by octavia, how many photographs were either framed by jack or taken by octavia ?\nOptions: a. 36, b. 48, c. 72, d. 96, e. 108", "output": [ "b" ] }, { "id": "task1678-6a599951494c4ffa89463247817b134b", "input": "Problem: a train 360 m long is running at a speed of 45 kmph. in what time will it pass a bridge 140 m long ?\nOptions: a. 40 sec, b. 42 sec, c. 45 sec, d. 48 sec, e. 49 sec", "output": [ "a" ] }, { "id": "task1678-a7082599c99a447e9c576ee001c4bd8f", "input": "Problem: what is value of ( p + q ) / ( p - q ) if p / q = 7 ?\nOptions: a. 1 / 3, b. 2 / 3, c. 4 / 3, d. 5 / 3, e. none of these", "output": [ "c" ] }, { "id": "task1678-411e52dd266146bf8fef31f12988459d", "input": "Problem: find the area of a cuboid of length 8 cm, breadth 6 cm. and height 9 cm.\nOptions: a. 400 cm cube, b. 410 cm cube, c. 420 cm cube, d. 432 cm cube, e. 480 cm cube", "output": [ "d" ] }, { "id": "task1678-3eab422c6e814754954e0b60a235926c", "input": "Problem: if | 5 x - 20 | = 100, then find the sum of the values of x ?\nOptions: a. 1, b. - 2, c. 8, d. - 3, e. 4", "output": [ "c" ] }, { "id": "task1678-412fc7f891cd4a7fa7bdfb2e5beb6d99", "input": "Problem: a windmill is taking advantage of strong air currents in order to produce electrical energy. on a typical day the wind speed is around 20 mph and in that speed the windmill produces 400 kw / h ( kilowatts per hour ). on a stormy day a windmill produces 20 % more energy. how much kw / h can 3 windmills produce in two hours on a stormy day ?\nOptions: a. 2880., b. 4860., c. 5780, d. 5760, e. 6380.", "output": [ "a" ] }, { "id": "task1678-428692162d8d4d448ba4318c76292048", "input": "Problem: john has 10 pairs of matched socks. if he loses 13 individual socks, what is the greatest number of pairs of matched socks he can have left ?\nOptions: a. 7, b. 3, c. 5, d. 4, e. 1", "output": [ "b" ] }, { "id": "task1678-e4f09662d138478e9064b81dadf67f90", "input": "Problem: arjun started a business with rs. 20,000 and is joined afterwards by anoop with rs. 30, 000. after how many months did anoop join if the profits at the end of the year are divided equally ?\nOptions: a. 3, b. 4, c. 5, d. 6, e. 7", "output": [ "b" ] }, { "id": "task1678-9684a450861b4222946eb873db7777cd", "input": "Problem: the points a ( 0, 0 ), b ( 0, 4 a - 5 ) and c ( 2 a + 1, 2 a + 5 ) form a triangle. if angle abc = 90, what is the area of triangle abc ?\nOptions: a. 80, b. 82.5, c. 78.5, d. 75.5, e. 74", "output": [ "b" ] }, { "id": "task1678-902d8a3efa8a4dc3a64c16e9e0d0e319", "input": "Problem: ramesh purchased a refrigerator for rs. 12500 after getting a discount of 20 % on the labelled price. he spent rs. 125 on transport and rs. 250 on installation. at what price should it be sold so that the profit earned would be 18 % if no discount was offered ?\nOptions: a. 17608, b. 17606, c. 17604, d. 17600, e. 18880", "output": [ "e" ] }, { "id": "task1678-dcabf13597aa4994bd7d0b38faab233a", "input": "Problem: a hall is 15 meters long and 15 meters wide. if the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, what is the volume of the hall ( in cubic meters ) ?\nOptions: a. 975.5, b. 1250.5, c. 1465.5, d. 1687.5, e. 1824.5", "output": [ "d" ] }, { "id": "task1678-fc09e4d5621e460a9667bf68b41a1490", "input": "Problem: what is the total surface area in square meters of a rectangular solid whose length is 9 meters, width is 8 meters, and depth is 5 meters ?\nOptions: a. 152 m 2, b. 162 m 2, c. 180 m 2, d. 300 m 2, e. 314 m 2", "output": [ "e" ] }, { "id": "task1678-d232014c786c4d23b95d5afc21f11ee9", "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": "task1678-33db1b3dc3344704b380fef6104fea20", "input": "Problem: a car traveling at a certain constant speed takes 4 seconds longer to travel 1 km than it would take to travel 1 km at 80 km / hour. at what speed, in km / hr, is the car traveling ?\nOptions: a. 70, b. 72, c. 74, d. 75, e. 78", "output": [ "c" ] }, { "id": "task1678-7bdb828736e3479cbca790a0b30ea6d5", "input": "Problem: a, b and c invested rs. 6300, rs. 4200 and rs. 10500 respectively, in a partnership business. find the share of a in profit of rs. 12500 after a year ?\nOptions: a. 3630, b. 2881, c. 2887, d. 3750, e. 2212", "output": [ "d" ] }, { "id": "task1678-35c65e5d512045949bf94ddecda43971", "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": "task1678-efa3525c11e549c3872b4f51c5b68263", "input": "Problem: a student needs 30 % of the marks on a test to pass the test. if the student gets 80 marks and fails the test by 100 marks, find the maximum marks set for the test.\nOptions: a. 400, b. 600, c. 800, d. 1000, e. 1200", "output": [ "b" ] }, { "id": "task1678-e35e994dd6dd474e9fbf357539e36620", "input": "Problem: to asphalt 1 km road, 30 men spent 12 days working 8 hours per day. how many days, 20 men will spend to asphalt a road of 2 km working 8 hours a day ?\nOptions: a. 40, b. 36, c. 42, d. 44, e. 46", "output": [ "b" ] }, { "id": "task1678-97c4508ef53a4e9db37da2dcf44b61a6", "input": "Problem: if x and j are integers and 2 x – j = 11, then 4 x + j can not be\nOptions: a. – 5, b. 1, c. 13, d. 17, e. 551", "output": [ "d" ] }, { "id": "task1678-cf5daeb81c844c0b96c1f65c0635cd4d", "input": "Problem: 15.06 * 0.001 = ?\nOptions: a. 15060000, b. 0.001506, c. 0.01506, d. 0.1506, e. none of these", "output": [ "c" ] }, { "id": "task1678-958a7124c3b14577880e66ddb6becf73", "input": "Problem: a small table has a length of 12 inches and a breadth of b inches. cubes are placed on the surface of the table so as to cover the entire surface. the maximum side of such cubes is found to be 4 inches. also, a few such tables are arranged to form a square. the minimum length of side possible for such a square is 48 inches. find b.\nOptions: a. 8, b. 16, c. 24, d. 32, e. 48", "output": [ "b" ] }, { "id": "task1678-555300ee2e9f411e81b32bf7e3718c7c", "input": "Problem: an investment yields an interest payment of $ 228 each month. if the simple annual interest rate is 9 %, what is the amount of the investment ?\nOptions: a. $ 28,300, b. $ 30,400, c. $ 31,300, d. $ 32,500, e. $ 35,100", "output": [ "b" ] }, { "id": "task1678-b19a27d8bf044b6c83f1a27563a54705", "input": "Problem: on a certain road 10 % of the motorists exceed the posted speed limit and receive speeding tickets, but 24 % of the motorists who exceed the posted speed limit do not receive speeding tickets. what percent of the motorists on the road exceed the posted speed limit ?\nOptions: a. 10.5 %, b. 13.2 %, c. 15 %, d. 22 %, e. 30 %", "output": [ "b" ] }, { "id": "task1678-38668c0a2a63488ca28dcf3da39e07cb", "input": "Problem: joe ’ s average ( arithmetic mean ) test score across 4 equally weighted tests was 45. he was allowed to drop his lowest score. after doing so, his average test score improved to 50. what is the lowest test score that was dropped ?\nOptions: a. 20, b. 30, c. 55, d. 65, e. 80", "output": [ "b" ] }, { "id": "task1678-309cac5a54a64758bfae82b76a915243", "input": "Problem: if y > 0, ( 4 y ) / 20 + ( 3 y ) / 10 is what percent of y ?\nOptions: a. 40 %, b. 50 %, c. 60 %, d. 70 %, e. 80 %", "output": [ "b" ] }, { "id": "task1678-7fb1bd7bf5ce4da8819bb64477450f87", "input": "Problem: in how many years rs 100 will produce the same interest at 5 % as rs. 600 produce in 4 years at 10 %\nOptions: a. 44, b. 52, c. 50, d. 46, e. 48", "output": [ "e" ] }, { "id": "task1678-86758599a3c54c2b99141d5305b3229a", "input": "Problem: in the number 10,0 ab, a and b represent the tens and units digits, respectively. if 11,0 ab is divisible by 55, what is the greatest possible value of b × a ?\nOptions: a. 0, b. 5, c. 10, d. 15, e. 25", "output": [ "d" ] }, { "id": "task1678-4d1e52b3d2814dc586662ebf9116568a", "input": "Problem: a clock shows the time as 7 a. m. if the minute hand gains 5 minutes every hour, how many minutes will the clock gain by 6 p. m. ?\nOptions: a. 45 minutes, b. 55 minutes, c. 35 minutes, d. 25 minutes, e. 40 minutes", "output": [ "b" ] }, { "id": "task1678-6689cac0794a4b9f94793e3b8ee9c1d8", "input": "Problem: if mn ≠ 0 and 25 percent of n equals 37 1 / 2 percent of m, what is the value of 12 n / m ?\nOptions: a. 18, b. 323323, c. 8, d. 3, e. 98", "output": [ "a" ] }, { "id": "task1678-07d903d0118a409eae4c29ca5c3ae327", "input": "Problem: if the cost price of 18 articles is equal to the selling price of 16 articles, what is the percentage of profit or loss that the merchant makes ?\nOptions: a. 20 % loss, b. 12.5 % profit, c. 33.33 % loss, d. 30.33 % loss, e. none of these", "output": [ "b" ] }, { "id": "task1678-2400e4a3691c4d0aadd8832ac14c4ee6", "input": "Problem: the average age of 15 students of a class is 16 years. out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years. tee age of the 15 th student is ?\nOptions: a. 22 years, b. 24 years, c. 26 years, d. 28 years, e. 30 years", "output": [ "c" ] }, { "id": "task1678-b44739bd981f4200845ffdfed0cf9640", "input": "Problem: if the length of an edge of cube p is thrice the length of an edge of cube q, what is the ratio of the volume of cube q to the volume of cube p ?\nOptions: ['a. 1 / 4', 'b. 1 / 5', 'c. 1 / 6', 'd. 1 / 27', 'e. 1 / 9']", "output": [ "d" ] }, { "id": "task1678-59c20de850b641dba36f0d7a45d578b8", "input": "Problem: si on a certain sum of money for 3 yrs at 8 percent / annum is 1 / 2 the ci on rs. 4000 for 2 yrs at 10 percent / annum. the sum placed on si is ?\nOptions: a. rs. 1700, b. rs. 1720, c. rs. 1750, d. rs. 1850, e. rs. 2000", "output": [ "c" ] }, { "id": "task1678-ea5421932797457393245797d4743174", "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": "task1678-2aceb772e586450485b6fc36f3a81c60", "input": "Problem: what is the sum of the first 23 natural numbers ( starting from 1 ) ?\nOptions: a. 256, b. 266, c. 276, d. 286, e. 296", "output": [ "c" ] }, { "id": "task1678-dfd51a1d0f1c4c4d8bab2f305c04db97", "input": "Problem: in a garden, 26 trees are planted at equal distances along a yard 700 metres long, one tree being at each end of the yard. what is the distance between two consecutive trees ?\nOptions: a. 10, b. 28, c. 12, d. 14, e. 16", "output": [ "b" ] }, { "id": "task1678-616b1c77f4e644e8bc00e6b06e36e3f3", "input": "Problem: a, b and c started a business with a total investment of rs. 72000. a invests rs. 6000 more than b and b invests rs. 3000 less than c. if the total profit at the end of a year is rs. 8640, find b ' s share.\nOptions: a. rs. 3240, b. rs. 2520, c. rs. 2880, d. rs. 3360, e. none of these", "output": [ "b" ] }, { "id": "task1678-33966826debb480fab4de69c9f9aa5df", "input": "Problem: what will be the percentage increase in the area of the cube ' s surface if each of the cube ' s edges grows by 20 % ?\nOptions: a. 33 %, b. 44 %, c. 55 %, d. 56 %, e. 73 %", "output": [ "b" ] }, { "id": "task1678-3615c86495e74cb48838c320884fd958", "input": "Problem: two pipes a and b can separately fill a tank in 12 and 15 minutes respectively. a third pipe c can drain off 45 liters of water per minute. if all the pipes are opened, the tank can be filled in 15 minutes. what is the capacity of the tank ?\nOptions: a. 399, b. 540, c. 772, d. 272, e. 121", "output": [ "b" ] }, { "id": "task1678-087fd491004f429d9703e4f2b04fe93b", "input": "Problem: what is the diagonal of a square field whose perimeter is 64 m ?\nOptions: a. 15 m, b. 16 √ 2 m, c. 20 m, d. 25 m, e. 18 m", "output": [ "b" ] }, { "id": "task1678-bc83b473a83c4a319c9286f31723e8a8", "input": "Problem: the difference between simple interest and compound interest on rs. 1400 for one year at 20 % per annum reckoned half - yearly is :\nOptions: a. $ 185.63, b. $ 852.36, c. $ 875.5, d. $ 989.9, e. $ 875.8", "output": [ "d" ] }, { "id": "task1678-99d995b044c043218ed63cc4d83e76c3", "input": "Problem: a semicircular shaped window has diameter of 63 cm. its perimeter equals\nOptions: ['a. 162', 'b. 766', 'c. 298', 'd. 277', 'e. 198']", "output": [ "a" ] }, { "id": "task1678-f49097a840b64856b44c8a62d8c7837f", "input": "Problem: by selling 100 pens, a trader gains the cost of 30 pens. find his gain percentage ?\nOptions: a. 30 %, b. 33 %, c. 31 %, d. 32 %, e. 34 %", "output": [ "a" ] }, { "id": "task1678-9ceb4be8dbeb4fa49eaf6748e187dcfb", "input": "Problem: out of 3 consecutive odd numbers 11 times the first number is equal to addition of thrice the third number and adding 16 to 4 times the second. what is the first number ?\nOptions: a. 5, b. 6, c. 7, d. 8, e. 9", "output": [ "e" ] }, { "id": "task1678-43dc8dc2ac294b03a0ef88fc021e6949", "input": "Problem: working together at their respective constant rates, machine a and machine b can produce 1600 units in 8 hours. working alone, machine b would complete that same output in 50 % more time. if machine a were to work on its own for an 8 - hour shift, what percent of the 1600 unit total would it produce ?\nOptions: a. 25, b. 33, c. 50, d. 67, e. 75", "output": [ "b" ] }, { "id": "task1678-a052613af5974e4a98d88fddaa57bfec", "input": "Problem: according to the formula f = 9 / 5 ( c. + 32, if the temperature in degrees farenheit ( f ) increases by 26, by how much does the temperature in degrees celsius ( c. increase ?\nOptions: a. 9, b. 14.44, c. 47, d. 48 3 / 5, e. 59", "output": [ "b" ] }, { "id": "task1678-3260cd3d96004337b6d07f69b9330345", "input": "Problem: if price of t. v set is reduced by 20 %, then its sale increases by 80 %, find net effect on sale value\nOptions: a. 44, b. 45, c. 46, d. 47, e. 48", "output": [ "a" ] }, { "id": "task1678-c4b3bea1a935425aaaee36f808086b5d", "input": "Problem: 9. on level farmland, two runners leave at the same time from the intersection of two country roads. one runner jogs due north at a constant rate of 8 miles per hour while the second runner jogs due east at a constant rate that is 8 miles per hour faster than the first runner ' s rate. how far apart, to the nearest mile, will they be after 1 / 2 hour ?\nOptions: a. 6, b. 7, c. 8, d. 12, e. 9", "output": [ "e" ] }, { "id": "task1678-3de6f3e2e74844c68324ef0d9bd65caf", "input": "Problem: the captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. if the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. what is the average of the team ?\nOptions: a. 23, b. 25, c. 30, d. 22, e. 40", "output": [ "a" ] }, { "id": "task1678-f3d49985b2b84695af5ec3671b417e89", "input": "Problem: tom and marry each have a bag of marbles, each of which contains 4 red marbles, 10 blue marbles, and 6 yellow marbles. if tom and marry each select one marble from their respective bags, what is the probability that either tom or marry select a blue marble ?\nOptions: a. 1 / 7, b. 2 / 4, c. 3 / 4, d. 1 / 8, e. 1 / 16", "output": [ "c" ] }, { "id": "task1678-27d5dc0d46824a3f94ff743199ec61dc", "input": "Problem: if 7 cats can kill 7 rats in 7 minutes, how long will it take 100 cats to kill 100 rats ?\nOptions: a. 5 minutes, b. 6 minutes, c. 7 minutes, d. 8 minutes, e. 9 minutes", "output": [ "c" ] }, { "id": "task1678-26b0418fe3b2478192b9b62bf765caf3", "input": "Problem: at the wholesale store you can buy an 8 - pack of hot dogs for $ 1.55, a 20 - pack for $ 3.05, and a 250 - pack for $ 20.95. what is the greatest number of hot dogs you can buy at this store with $ 300 ?\nOptions: a. 3,108, b. 3,100, c. 3,108, d. 3,540, e. 3,256", "output": [ "d" ] }, { "id": "task1678-7cc44db7a7b248a8b7ab551e92a24261", "input": "Problem: a person spends 1 / 3 rd of the money with him on clothes, 1 / 5 th of the remaining on food and 1 / 4 th of the remaining on travel. now, he is left with rs 200. how much did he have with him in the beginning ?\nOptions: a. s 200, b. s 500, c. s 300, d. s 450, e. s 550", "output": [ "b" ] }, { "id": "task1678-ff9a8299ea2c4feeae31c7b1f3703590", "input": "Problem: the shopkeeper increased the price of a product by 25 % so that customer finds it difficult to purchase the required amount. but somehow the customer managed to purchase only 76 % of the required amount. what is the net difference in the expenditure on that product ?\nOptions: a. 12.5 %, b. 13 %, c. 5 %, d. 17 %, e. 19 %", "output": [ "c" ] }, { "id": "task1678-ba63bfaf76164d669f4d0600a55bc3cb", "input": "Problem: if a number n is chosen at random from the set of two - digit integers whose digits are both prime numbers, what is the probability r that n is divisible by 3 ?\nOptions: a. 1 / 3, b. ¼, c. 9 / 25, d. 5 / 16, e. 0", "output": [ "d" ] }, { "id": "task1678-07a734781c774283b6879edb7905229f", "input": "Problem: 0 - - -: - | - - -: - - | -: - -: - | - -: - - - | -: - - - - 1 on the number line above, the segment from 0 to 1 has been divided into fifths, as indicated by the large tick marks, and also into sevenths, as indicated by the small tick marks. what is the least possible distance x between any two of the tick marks ?\nOptions: a. 1 / 70, b. 1 / 35, c. 2 / 35, d. 1 / 12, e. 1 / 7", "output": [ "b" ] }, { "id": "task1678-d569f83be78f4f6f98d001a2d04f3210", "input": "Problem: find the area of a parallelogram with base 21 cm and height 11 cm ?\nOptions: a. 231 cm 2, b. 384 cm 2, c. 672 cm 2, d. 267 cm 2, e. 286 cm 2", "output": [ "a" ] }, { "id": "task1678-29baeeef4f1c4bed896186e03a0dadd0", "input": "Problem: a cycle is bought for rs. 1120 and sold for rs. 1200, find the gain percent ?\nOptions: a. 7 %, b. 2 %, c. 6 %, d. 1 %, e. 8 %", "output": [ "a" ] }, { "id": "task1678-2ed4883d267e4b4aa4f38899c5cee4e0", "input": "Problem: a trader bought a car at 20 % discount on its original price. he sold it at a 70 % increase on the price he bought it. what percent of profit did he make on the original price ?\nOptions: a. 17 %, b. 72 %, c. 12 %, d. 82 %, e. 36 %", "output": [ "e" ] }, { "id": "task1678-234fd137d235457fa3dd516a81de6ec4", "input": "Problem: a boat having a length 9 m and breadth 3 m is floating on a lake. the boat sinks by 1 cm when a man gets on it. the mass of the man is :\nOptions: a. 100 kg, b. 120 kg, c. 189 kg, d. 180 kg, e. 270 kg", "output": [ "e" ] }, { "id": "task1678-9be0012722624c69a427242af4e3ad32", "input": "Problem: what annual payment will discharge a debt of rs. 1030 due in 2 years at the rate of 5 % compound interest ?\nOptions: a. 553.94, b. 551.25, c. 534.33, d. 543.33, e. 646.33", "output": [ "a" ] }, { "id": "task1678-74ae0ce43dc04c70b287627980535176", "input": "Problem: in a factory, there are 90 % technicians and 10 % non - technicians. if the 90 % of the technicians and 10 % of non - technicians are permanent employees, then the percentage of workers who are temporary is ?\nOptions: a. 62 %, b. 57 %, c. 52 %, d. 82 %, e. 42 %", "output": [ "d" ] }, { "id": "task1678-99e9be7797ed4eaeb1788a768d87d28e", "input": "Problem: how many seconds will a 450 metre long train take to cross a man running with a speed of 6 km / hr in the direction of the moving train if the speed of the train is 60 km / hr ?\nOptions: a. 25, b. 30, c. 40, d. 45, e. 60", "output": [ "b" ] }, { "id": "task1678-ff15ce7d48944fef886ba235609d6d4b", "input": "Problem: of the total amount that jill spent on a shopping trip, excluding taxes, she spent 60 percent on clothing, 20 percent on food, and 20 percent on other items. if jill paid a 10 percent tax on the clothing, no tax on the food, and an 10 percent tax on all other items, then the total tax that she paid was what percent of the total amount that she spent, excluding taxes ?\nOptions: a. 10, b. 20, c. 30, d. 25, e. 15", "output": [ "a" ] }, { "id": "task1678-e806844e105a4e75852ce2e822def788", "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": "task1678-f92a27935b23450e95526e5bc136e003", "input": "Problem: a rectangular garden is to be twice as long as it is wide. if 180 yards of fencing, including the gate, will completely enclose the garden, what will be the length of the garden, in yards ?\nOptions: a. 60, b. 70, c. 80, d. 90, e. 100", "output": [ "a" ] }, { "id": "task1678-b7b04dd570044595bf4f7f9b2215a3d6", "input": "Problem: what is the value of 3 x ^ 2 − 1.8 x + 0.3 for x = 0.6 ?\nOptions: a. − 0.3, b. 0, c. 0.3, d. 1.08, e. 2.46", "output": [ "c" ] }, { "id": "task1678-e6aa3d9dfdb748d7a8ce7b69c6b5319b", "input": "Problem: three pipes, a, b, & c are attached to a tank. a & b can fill it in 20 & 30 minutes respectively while c can empty it in 20 minutes. if a, b & c are kept open successively for 1.5 minute each, how soon will the tank be filled ?\nOptions: a. 2 hours, b. 4 hours, c. 5 hours, d. 2 hours 15 min, e. 3 hours", "output": [ "d" ] }, { "id": "task1678-86506bca6be740bf91db30d7de0a010e", "input": "Problem: a train passes a station platform in 30 sec and a man standing on the platform in 20 sec. if the speed of the train is 54 km / hr. what is the length of the platform ?\nOptions: a. 120 m, b. 240 m, c. 168 m, d. 75 m, e. 60 m", "output": [ "e" ] }, { "id": "task1678-edb899fe90c94752bc49f03d04e3e7a1", "input": "Problem: if the sides of a cube are in the ratio 9: 7. what is the ratio of their diagonals ?\nOptions: a. 4: 3, b. 16: 9, c. 9: 7, d. 3: 4, e. 3: 8", "output": [ "c" ] }, { "id": "task1678-cfe8483d105846188cf2bffb9e8d1b43", "input": "Problem: last year elaine spent 20 % of her annual earnings on rent. this year she earned 20 % more than last year and she spent 30 % of her annual earnings on rent. the amount she spent on rent this year is what percent of the amount spent on rent last year ?\nOptions: a. 185.5, b. 180.0, c. 167.5, d. 172.5, e. 177.5", "output": [ "b" ] }, { "id": "task1678-9ccf699b851645f7874f7e7ce8e750a9", "input": "Problem: a sum of money is to be distributed among a, b, c, d in the proportion of 5: 2: 4: 3. if c gets $ 500 more than d, what is c ' s share ?\nOptions: a. $ 1200, b. $ 1600, c. $ 1800, d. $ 2000, e. $ 2400", "output": [ "d" ] }, { "id": "task1678-719d1ddbfe8f48df84508b4f8cea3fbf", "input": "Problem: two bullet train s 140 m and 200 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks. the time ( in seconds ) which they take to cross each other, is :\nOptions: a. 15.8 sec., b. 12.24 sec., c. 11.8 sec., d. 10.8 sec., e. 08.8 sec.", "output": [ "b" ] }, { "id": "task1678-127ee0c4b24d4e81b8b12203d1b2f7b7", "input": "Problem: in 1950, richard was 4 times as old as robert. in 1955, richard was 3 times as old as robert. in which year was richard 1.5 times as old as robert ?\nOptions: a. 1960, b. 1965, c. 1970, d. 1975, e. 2000", "output": [ "e" ] }, { "id": "task1678-922bedc8943b4c709b1ba466936635b5", "input": "Problem: the population of a bacteria culture doubles every 2 minutes. approximately how many minutes will it take for the population to grow from 1,000 to 300,000 bacteria\nOptions: a. 10, b. 12, c. 14, d. 16, e. 18", "output": [ "d" ] }, { "id": "task1678-c3eb9358e6c84142bbdc6328f024b12d", "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": "task1678-6b48f8a248ac4b3c916187e0328f5787", "input": "Problem: in what time will a train 50 m long cross an electric pole, it its speed be 360 km / hr ?\nOptions: a. 0.25, b. 0.5, c. 1.5, d. 2.5, e. 3.5", "output": [ "b" ] }, { "id": "task1678-94c24a54cada4c7db6ec1fa22ec9acd3", "input": "Problem: each of the products produced yesterday was checked by worker x or worker y. 0.5 % of the products checked by worker x are defective and 0.8 % of the products checked by worker y are defective. if the total defective rate of all the products checked by worker x and worker y is 0.74 %, what fraction of the products was checked by worker y ?\nOptions: a. 1 / 2, b. 2 / 3, c. 3 / 5, d. 3 / 4, e. 4 / 5", "output": [ "e" ] }, { "id": "task1678-4cc662ede0be44aa8bf7420e1abceac1", "input": "Problem: a sum of 11,500 amounts to 13,500 in 5 years at the rate of simple interest. what is the rate of interest ?\nOptions: a. 2 %, b. 3 %, c. 6 %, d. 5 %, e. 8 %", "output": [ "b" ] }, { "id": "task1678-1cdabbfc796f48a586686bab6d14f1ee", "input": "Problem: workers at a campaign office have 2000 fliers to send out. if they send out 1 / 4 of them in the morning and 1 / 5 of the remaining ones out during the afternoon, how many are left for the next day ?\nOptions: a. 300, b. 800, c. 1100, d. 1200, e. 1180", "output": [ "e" ] }, { "id": "task1678-cf867eb6ccb14f2b9e353bad589f1680", "input": "Problem: abcd is a square where ab = â ˆ š 4032. let x be a point on ab and y be a point on cd such that ax = cy. compute the area of trapezoid axyd.\nOptions: ['a. 3008', 'b. 2002', 'c. 1008', 'd. 2016', 'e. 3000']", "output": [ "d" ] }, { "id": "task1678-c16f8197006e4155ac7d4c0309a7f033", "input": "Problem: if n = ( 33 ) ^ 40 + ( 43 ) ^ 33 what is the units digit of n ?\nOptions: a. 1, b. 2, c. 4, d. 6, e. 8", "output": [ "a" ] }, { "id": "task1678-632fa78e3fb2493b919ccbba64e553bc", "input": "Problem: a circular ground whose diameter is 35 metres, has a 1.4 metre - broad garden around it. what is the area of the garden in square metres ?\nOptions: a. 160.16, b. 6.16, c. 122.66, d. data inadequate, e. none of these", "output": [ "a" ] }, { "id": "task1678-4b7dac13a83c4783bb6ce660359c78f4", "input": "Problem: a sports equipment store sold ping pong rackets for a total of $ 637. if the average ( arithmetic mean ) price of a pair of rackets is $ 9.8, how many pairs were sold ?\nOptions: a. 50, b. 100, c. 65, d. 500, e. 980", "output": [ "c" ] }, { "id": "task1678-03a0b6ecd820410f8016746cecfa8695", "input": "Problem: a farmer has enough food to feed her 1000 cows for 50 days. after 10 days some of the cows run away and the food was now enough for the same period of 50 days as before. how many cows ran away ?\nOptions: a. 300, b. 200, c. 500, d. 400, e. 250", "output": [ "b" ] }, { "id": "task1678-44f4eaf3e2b14174b1b19827f803f4f1", "input": "Problem: a certain number of men can do a work in 60 days. if there were 8 men less it could be finished in 10 days more. how many men are there ?\nOptions: a. 56, b. 42, c. 60, d. 45, e. 36", "output": [ "a" ] }, { "id": "task1678-58ef7c51698f4625bf7f8b1848a6961f", "input": "Problem: if - 3 x + 4 y = 28 and 3 x - 2 y = 8, what is the product of x and y ?\nOptions: a. 264., b. 428, c. 464., d. 622, e. 642", "output": [ "a" ] }, { "id": "task1678-23735cd1bf1f47c594d7eb65af76b08b", "input": "Problem: a rectangle having length 89 cm and width 34 cm. if the length of the rectangle is increased by eighty percent then how much percent the breadth should be decreased so as to maintain the same area.\nOptions: a. 25 %, b. 33.33 %, c. 47.33 %, d. 75 %, e. none of these", "output": [ "c" ] }, { "id": "task1678-b55f0bf25874481a80ff792e7d626f0a", "input": "Problem: two trains, one from howrah to patna and the other from patna to howrah, start simultaneously. after they meet, the trains reach their destinations after 25 hours and 81 hours respectively. the ratio of their speeds is :\nOptions: a. 2: 3, b. 4: 3, c. 9: 5, d. 9: 16, e. none of these", "output": [ "c" ] }, { "id": "task1678-75f6499e88e246558f07f1f873adaccd", "input": "Problem: a train 100 m long takes 6 sec to cross a man walking at 5 kmph in a direction opposite to that of the train. find the speed of the train ?\nOptions: a. 45 kmph, b. 55 kmph, c. 32 kmph, d. 61 kmph, e. 70 kmph", "output": [ "b" ] }, { "id": "task1678-349bbb2857da4d828bdf86a7e0cf7c19", "input": "Problem: evaluate: 96385 + 12 * 3 * 25 = ?\nOptions: a. 96385, b. 96358, c. 96785, d. 96485, e. 96855", "output": [ "d" ] }, { "id": "task1678-a9ce3aeb1e0d42b7bfb859e5e52118c6", "input": "Problem: how many positive integers less than 100 have a remainder of 3 when divided by 13 ?\nOptions: a. 6, b. 7, c. 8, d. 9, e. 3", "output": [ "e" ] }, { "id": "task1678-319ed0e7505a491097f474766ce17618", "input": "Problem: if y > 0, ( 9 y ) / 20 + ( 3 y ) / 10 is what percent of y ?\nOptions: a. 40 %, b. 50 %, c. 60 %, d. 70 %, e. 75 %", "output": [ "e" ] }, { "id": "task1678-ebc0f39e3e5e4214b33ee74654d700e6", "input": "Problem: all the students of class are told to sit in circle shape. here the boy at the 5 th position is exactly opposite to 20 th boy. total number of boys in the class ?\nOptions: a. 30, b. 40, c. 45, d. 25, e. 20", "output": [ "a" ] }, { "id": "task1678-e61fcde071054b249b121d599d5b6142", "input": "Problem: a boy swims downstream 56 km and upstream 42 km taking 7 hours each time; what is the speed of the current ?\nOptions: a. 5, b. 4, c. 3, d. 2, e. 1", "output": [ "e" ] }, { "id": "task1678-071ce7f415ba4806b8f29564b8af1608", "input": "Problem: an equal number of desks and bookcases are to be placed along a library wall that is 15 meters long. each desk is 2 meters long, and each bookshelf is 1.5 meters long. if the maximum possible number of desks and bookcases are to be placed along the wall, then the space along the wall that is left over will be how many meters f long ?\nOptions: a. 0.5, b. 1, c. 1.5, d. 2, e. 3", "output": [ "b" ] }, { "id": "task1678-1eac6e79398a4aa790e76798bac93e01", "input": "Problem: a meeting has to be conducted with 5 managers. find the number of ways in which the managers may be selected from among 9 managers, if 3 managers will not attend the meeting together.\nOptions: a. 1.24, b. 2.91, c. 3.12, d. 4.126, e. 5.15", "output": [ "a" ] }, { "id": "task1678-5d69181e991b42ac993168bd2ba0d43c", "input": "Problem: for every even positive integer m, f ( m ) represents the product of all even integers from 2 to m, inclusive. for example, f ( 12 ) = 2 x 4 x 6 x 8 x 10 x 12. what is the greatest prime factor of f ( 24 ) ?\nOptions: a. 23, b. 19, c. 17, d. 13, e. 11", "output": [ "e" ] }, { "id": "task1678-076fb4c048e14219bd401ce15718b0d6", "input": "Problem: an employee ’ s annual salary was increased $ 5,000. if her new annual salary now equals $ 70,000, what was the percent increase ?\nOptions: a. 15 %, b. 0.77 %, c. 20 %, d. 22 %, e. 24 %", "output": [ "b" ] }, { "id": "task1678-ba0f0dbb38624f05a83f8f94b2da0f40", "input": "Problem: how many two - digit whole numbers yield a remainder of 1 when divided by 20 and also yield a remainder of 1 when divided by 5 ?\nOptions: a. none, b. one, c. two, d. three, e. four", "output": [ "e" ] }, { "id": "task1678-bd21e72e02574499a60dcff9d23ea94a", "input": "Problem: j is faster than p. j and p each walk 24 km. sum ofthe speeds of j and p is 7 kmph. sum of time taken by them is 14 hours. then j speed is equal to ?\nOptions: a. 4, b. 5, c. 6, d. 7, e. 8", "output": [ "a" ] }, { "id": "task1678-a81862cea2a540199bbe02af1cf8753e", "input": "Problem: a particular library has 75 books in a special collection, all of which were in the library at the beginning of the month. these book are occasionally loaned out through an inter - library program. if, by the end of the month, 80 percent of books that were loaned out are returned and there are 66 books in the special collection at that time, how many books of the special collection were loaned out during that month ?\nOptions: a. 20, b. 30, c. 35, d. 45, e. 55", "output": [ "d" ] }, { "id": "task1678-d416abc0ac1a4b5680d54449eec203eb", "input": "Problem: 50 men took a dip in a water tank 30 m long and 20 m broad on a religious day. if the average displacement of water by a man is 4 m 3, then the rise in the water level in the tank will be :\nOptions: a. 20 cm, b. 25 cm, c. 33.3 cm, d. 50 cm, e. none of these", "output": [ "c" ] }, { "id": "task1678-4d5794b1ed1c4d81b54b734d42635c81", "input": "Problem: find the simple interest on rs. 70,000 at 16 2 / 3 % per year for 9 months.\nOptions: a. 7500, b. 6500, c. 8750, d. 9500, e. none of them", "output": [ "c" ] }, { "id": "task1678-ff0c3fefc68645c5a93a0766d075ca2c", "input": "Problem: a is twice as good a workman as b and they took 6 days together to do the work b alone can do it in.\nOptions: a. 18 days, b. 12 days, c. 29 days, d. 25 days, e. 27 days", "output": [ "a" ] }, { "id": "task1678-7d9999fc433b46e1954f803e7601ffff", "input": "Problem: donovan and michael are racing around a circular 400 - meter track. if donovan runs each lap in 45 seconds and michael runs each lap in 36 seconds, how many laps will michael have to complete in order to pass donovan, assuming they start at the same time ?\nOptions: a. 8, b. 7, c. 6, d. 5, e. 9", "output": [ "d" ] }, { "id": "task1678-e08577f03bee424d918cffd7f7721642", "input": "Problem: if 3 people can do 3 times of a particular work in 3 days, then how many days would it take 9 people to do 9 times of that particular work ?\nOptions: a. 1, b. 2, c. 3, d. 9, e. 12", "output": [ "c" ] }, { "id": "task1678-a2d321f774ef4139a581c4485b51a9e0", "input": "Problem: a and b can do a work in 5 days and 10 days respectively. a starts the work and b joins him after 2 days. in how many days can they complete the remaining work ?\nOptions: a. 6, b. 2, c. 8, d. 9, e. 3", "output": [ "b" ] }, { "id": "task1678-53a2e7d47df94035b38bb7ecc0b8f4f4", "input": "Problem: the average age of students of a class is 15.8 years. the average age of boys in the class is 16.5 years and that of the girls is 15.4 years. the ration of the number of boys to the number of girls in the class is :\nOptions: a. 2: 5, b. 2: 3, c. 2: 4, d. 2: 1, e. 4: 7", "output": [ "e" ] }, { "id": "task1678-eee697c32602457892076611d73a74e0", "input": "Problem: before 6 years, dog a ’ s age was 4 times of dog b ’ s age and after 4 years, dog a ’ s age will be 3 times of dog b ’ s age. what is the difference of dog a ’ s age and dog b ’ s now ?\nOptions: a. 36, b. 42, c. 54, d. 60, e. 64", "output": [ "e" ] }, { "id": "task1678-8af1f49e5002436e814450b059f2a0b7", "input": "Problem: 4 wolves, wolverine, man - hunter, blue - wolf, and jasmine, caught rabbits for their evening meal. if man - hunter caught 3 more rabbits than blue - wolf did, jasmine caught 3 less than wolverine did, and wolverine caught 1 more than man - hunter did, how many more fewer rabbits did blue - wolf catch than jasmine ?\nOptions: a. - 3, b. - 2, c. - 5, d. - 12, e. - 1", "output": [ "e" ] }, { "id": "task1678-08c9adda154c40d1871d6d936936792c", "input": "Problem: a bullet train 160 m long is running with a speed of 70 kmph. in what time will it pass a man who is running at 8 kmph in the direction opposite to that in which the bullet train is going ?\nOptions: a. 23 sec, b. 15 sec, c. 7.38 sec, d. 6.92 sec, e. 16 sec", "output": [ "c" ] }, { "id": "task1678-e55b9038951749af94e09493138dee52", "input": "Problem: what is the remainder when 103 * 505 * 607 is divided by 9\nOptions: a. 6, b. 18, c. 2, d. 4, e. 7", "output": [ "e" ] }, { "id": "task1678-88b2db357bb148a898677287db8de134", "input": "Problem: a man can do a job in 5 days. his father takes 20 days and his son finishes it in 25 days. how long will they take to complete the job if they all work together ?\nOptions: a. 6.3, b. 6.9, c. 3.5, d. 6.1, e. 6.2", "output": [ "c" ] }, { "id": "task1678-ab64790cd4154fb5981589f76383f669", "input": "Problem: what is the value of 3 x ^ 2 − 1.8 x + 0.3 for x = 0.9 ?\nOptions: a. − 0.3, b. 0, c. 0.3, d. 1.11, e. 2.46", "output": [ "d" ] }, { "id": "task1678-6fa2ef01af2f4e33b675eb153af5c802", "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": "task1678-cd49dc1c760a4bd6b7c0b9d5b0cbf62f", "input": "Problem: a restaurant spends one quarter of its monthly budget for rent and two thrid of the rest for food and beverages. what percentage of the budget does the restaurant spend for food and beverages ?\nOptions: a. 23.5 %, b. 50 %, c. 35 %, d. 37.5 %, e. 75 %", "output": [ "b" ] }, { "id": "task1678-35d92f8838354713bac029341fa848ca", "input": "Problem: in a kilometer race, a beats b by 52 meters or 18 seconds. what time does a take to complete the race ?\nOptions: a. 277 sec, b. 190 sec, c. 328 sec, d. 367 sec, e. 376 sec", "output": [ "c" ] }, { "id": "task1678-0f2cd6a4385d4f35ba0e18a4c05e5ac4", "input": "Problem: what is the probability of randomly selecting one of the shortest diagonals from all the diagonals of a regular octagon ?\nOptions: a. 1 / 4, b. 1 / 3, c. 1 / 2, d. 2 / 5, e. 7 / 8", "output": [ "d" ] }, { "id": "task1678-6d848f70c20b4d9d842ac2127d96b7ff", "input": "Problem: a towel, when bleached, lost 30 % of its length and 25 % of its breadth. what is the percentage decrease in area ?\nOptions: a. 24 %, b. 30 %, c. 44 %, d. 54 %, e. 47.5 %", "output": [ "e" ] }, { "id": "task1678-5d41cf27a0db4dea8ca3fc2d24e4cdb9", "input": "Problem: two women can do a work in 4 days. six men can complete the same work in 3 days. what is the ratio between the capacity of a man and a woman ?\nOptions: a. 1: 2, b. 2: 1, c. 4: 9, d. 3: 2, e. none of these", "output": [ "c" ] }, { "id": "task1678-eaa451d3a37c456dab89b09baf774a9c", "input": "Problem: 10 x 0.5 = ?\nOptions: a. 0.0001, b. 0.001, c. 0.01, d. 0.1, e. 5", "output": [ "e" ] }, { "id": "task1678-c377ac191592439d9eafa95e2998813e", "input": "Problem: what is the remainder when 54617 ^ ( 42788234 ) is divided by 5 ?\nOptions: a. 0, b. 1, c. 2, d. 3, e. 4", "output": [ "e" ] }, { "id": "task1678-19308ad11c694ed0b9ef46414e82b813", "input": "Problem: a cube of side two meter length is cut into small cubes of side 10 cm each. how many such small cubes can be obtained ?\nOptions: a. 2878, b. 2778, c. 1000, d. 8000, e. 8900", "output": [ "d" ] }, { "id": "task1678-1673ce537aed49349a5e9845d274a4e5", "input": "Problem: how many numbers between 200 and 600 are divisible by 4, 5 and 6 ?\nOptions: a. 5, b. 6, c. 8, d. 10, e. 12", "output": [ "b" ] }, { "id": "task1678-f51e052590a14e2faa3941481d5d93ab", "input": "Problem: a train 270 metres long is moving at a speed of 25 kmph. it will cross a man coming from the opposite direction at a speed of 2 km per hour in :\nOptions: a. 30 sec, b. 32 sec, c. 36 sec, d. 38 sec, e. 40 sec", "output": [ "c" ] }, { "id": "task1678-fa3a6c5f642440d7b1b9eb042c718b7e", "input": "Problem: speed of a boat in standing water is 14 kmph and the speed of the stream is 1.2 kmph. a man rows to a place at a distance of 4864 km and comes back to the starting point. the total time taken by him is :\nOptions: a. 700, b. 200, c. 540, d. 120, e. 635", "output": [ "a" ] }, { "id": "task1678-3be43d17bbda44e7892b8f0424ba7e8c", "input": "Problem: you enter a weight loss challenge game and manage to lose 13 % of your body weight. for the final weigh in you are forced to wear clothes that add 2 % to your weight. what percentage of weight loss is measured at the final weigh in ?\nOptions: a. 13 %, b. 9.22 %, c. 11.26 %, d. 14 %, e. 12 %", "output": [ "c" ] }, { "id": "task1678-78447d5c33d54f25bce10f65af56b634", "input": "Problem: i bought two books; for rs. 500. i sold one at a loss of 15 % and other at a gain of 19 % and then i found each book was sold at the same price. find the cost of the book sold at a loss ?\nOptions: a. 337, b. 280, c. 299.67, d. 266.67, e. 291.67", "output": [ "e" ] }, { "id": "task1678-23a8be0e942246a2a949b64d8dd37fb6", "input": "Problem: 252 ã · ? ã — 15 + 270 = 405\nOptions: a. 24, b. 25, c. 28, d. 39, e. 43", "output": [ "c" ] }, { "id": "task1678-720c7946507c417c940780a6a2b2d6b8", "input": "Problem: a and b put in rs. 300 and rs. 400 respectively into a business. a reinvests into the business his share of the first year ' s profit of rs. 196 where as b does not. in what ratio should they divide the second year ' s profit ?\nOptions: a. 39: 40, b. 39: 49, c. 24: 25, d. 39: 47, e. 39: 41", "output": [ "c" ] }, { "id": "task1678-984d536a41b7402f962e5fdbeebc81ba", "input": "Problem: in a group of ducks and cows, the total number of legs are 40 more than twice the number of heads. find the total number of cows.\nOptions: a. 12, b. 14, c. 16, d. 18, e. 20", "output": [ "e" ] }, { "id": "task1678-abf6376a72fa4ba48cbb4fad49f8568a", "input": "Problem: a student chose a number, multiplied it by 2, then subtracted 138 from the result and got 102. what was the number he chose ?\nOptions: a. 90, b. 100, c. 120, d. 160, e. 200", "output": [ "c" ] }, { "id": "task1678-bbe52f8d6cc24200a7139f96778634b2", "input": "Problem: the product of two successive numbers is 4160. which is the smaller of the two numbers ?\nOptions: a. 78, b. 64, c. 88, d. 67, e. 37", "output": [ "b" ] }, { "id": "task1678-5be298cc8adb4156a297118b0195cac8", "input": "Problem: soymilk are sold in packages of two or 3 only. if hannah bought 17 soymilk exactly, what could be the number of large packs hannah bought ?\nOptions: a. 1, b. 4, c. 3, d. 5, e. 8", "output": [ "c" ] }, { "id": "task1678-c5e0f63ffc58467d8ebadee91a5bb616", "input": "Problem: what ratio must a shopkeeper mix peas and soybean of rs. 16 and rs. 25 / kg, as to obtain a mixture of rs. 21.50 ?\nOptions: a. 10: 7, b. 9: 8, c. 7: 11, d. 13: 11, e. 14: 8", "output": [ "c" ] }, { "id": "task1678-1ad24ebe07144d88908af4ae65038253", "input": "Problem: a 300 meter long train crosses a platform in 33 seconds while it crosses a signal pole in 18 seconds. what is the length of the platform ?\nOptions: a. 250, b. 266, c. 230, d. 288, e. 271", "output": [ "a" ] }, { "id": "task1678-65b8bc98986e4aee8e2ee1431f542c37", "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": "task1678-a718c0a305bf4873ba7061851b819d0e", "input": "Problem: mr. loyd wants to fence his square shaped land of 120 sqft each side. if a pole is laid every 10 ft how many poles do he need ?\nOptions: a. 20, b. 30, c. 48, d. 50, e. 60", "output": [ "c" ] }, { "id": "task1678-98c7a1c2fbb14521a6b1044c99e99373", "input": "Problem: if 4 / ( 1 + 3 / x ) = 1, then x =\nOptions: a. 3, b. 1, c. 1 / 3, d. - 1 / 3, e. - 3", "output": [ "b" ] }, { "id": "task1678-bad8b0b7cada46b6931c90ad55399ed5", "input": "Problem: a 16 % stock yielding 10 % is quoted at :\nOptions: a. 83.33, b. 110, c. 112, d. 120, e. 160", "output": [ "e" ] }, { "id": "task1678-9764a98af4ad4e018122c5fed11a76ca", "input": "Problem: there are, in a certain league, 20 teams, and each team face another team for a total of 10 times. how many games are played in the season ?\nOptions: a. 1900, b. 3600, c. 2400, d. 180, e. 5400", "output": [ "a" ] }, { "id": "task1678-89d4262d9ba7490db8d254d3bf816ab0", "input": "Problem: if integer k is equal to the sum of all even multiples of 15 between 390 and 615, what is the greatest prime factor of k ?\nOptions: a. 5, b. 7, c. 8, d. 13, e. 17", "output": [ "c" ] }, { "id": "task1678-600f1d7300bd43ceb1c5340a37263e47", "input": "Problem: if x and y are positive integers and 3 + x + y + xy = 17, what is the value of x + y ?\nOptions: a. 3, b. 5, c. 6, d. 8, e. 9", "output": [ "c" ] }, { "id": "task1678-cd24aafc8ef54675ada46c95a97a7c87", "input": "Problem: a sun is divided among x, y and z in such a way that for each rupee x gets, y gets 45 paisa and z gets 30 paisa. if the share of y is rs. 54, what is the total amount ?\nOptions: a. 166, b. 105, c. 178, d. 177, e. 210", "output": [ "e" ] }, { "id": "task1678-f8e0ef85dc1c4e4cb1dfecfdf343cd1e", "input": "Problem: the expenditure of a businessman increase consistently by 10 % per year. if his present expenditure is rs. 20000 then what will his expenditure be after 2 years ?\nOptions: a. 24500, b. 24400, c. 24300, d. 24200, e. 24100", "output": [ "d" ] }, { "id": "task1678-4ca9fc6f3ec34e7ca8d35e210ad2104b", "input": "Problem: farm tax is levied on the 25 % of the cultivated land. the tax department collected total $ 3840 through the farm tax from the village of mr. william. mr. william paid only $ 480 as farm tax. the percentage of total land of mr. willam over the total taxable land of the village is :\nOptions: a. 15 %, b. 25 %, c. 50 %, d. 0.2083 %, e. none", "output": [ "c" ] }, { "id": "task1678-f69a82f5e93549499bcec8850944bc75", "input": "Problem: a textile manufacturing firm employees 100 looms. it makes fabrics for a branded company. the aggregate sales value of the output of the 100 looms is rs 5, 00,000 and the monthly manufacturing expenses is rs 1, 50,000. assume that each loom contributes equally to the sales and manufacturing expenses are evenly spread over the number of looms. monthly establishment charges are rs 75000. if one loom breaks down and remains idle for one month, the decrease in profit is :\nOptions: a. 13000, b. 7000, c. 10000, d. 3500, e. none of these", "output": [ "d" ] }, { "id": "task1678-a17ccd2d0a774dab847cb62e4e9b4df1", "input": "Problem: it is the new year and mandy has made a resolution to lose weight this year. she plans to exercise and do yoga. for exercise she plans to workout at the gym and ride her bicycle in the ratio of 2: 3 everyday. she will also do yoga in the ratio, yoga: exercise = 2: 3. if she rides her bike for 18 minutes, how much time will she spend doing yoga ? ( rounded to minutes )\nOptions: a. 30 min., b. 41 min., c. 17 min., d. 23 min., e. 25 min.", "output": [ "a" ] }, { "id": "task1678-5aa916dfb2d74ca193c863829e3a0dc8", "input": "Problem: when positive integer x is divided by 11, the quotient is y and the remainder is 4. when 2 x is divided by 8, the quotient is 3 y and the remainder is 1. what is the value of 13 y – x ?\nOptions: a. 2, b. 3, c. 4, d. 5, e. 6", "output": [ "b" ] }, { "id": "task1678-3869ceac75f5443bb1dd3ecfeda69186", "input": "Problem: what is the least number of squares tiles required to pave the floor of a room 15.17 m long and 9.02 m broad ?\nOptions: ['a. 814', 'b. 266', 'c. 287', 'd. 999', 'e. 661']", "output": [ "a" ] }, { "id": "task1678-144212f8aa5649e0b8276e8a83b09445", "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": "task1678-29b452bcdc8443358920d342bfd94f21", "input": "Problem: if a drawing has an outer circle of diameter 30 and an inner circle of diameter 24, then what fraction of outer circle ' s surface is not covered by the inner circle ?\nOptions: ['a. 3 / 6', 'b. 8 / 24', 'c. 14 / 16', 'd. 9 / 25', 'e. 2 / 3']", "output": [ "d" ] }, { "id": "task1678-650513887f75487b8be7cc0149fd5436", "input": "Problem: the sum of three consecutive even numbers is 366. find the middle number of the three ?\nOptions: a. 111, b. 123, c. 122, d. 152, e. 142", "output": [ "c" ] }, { "id": "task1678-5503deb09ce2460fac20b9bbae1da242", "input": "Problem: x can finish a work in 24 days. y can finish the same work in 16 days. yworked for 10 days and left the job. how many days does x alone need to finish the remaining work ?\nOptions: a. 3, b. 5, c. 6, d. 8, e. 9", "output": [ "e" ] }, { "id": "task1678-68f5dbb826e44436bb7d26438669154c", "input": "Problem: some of 45 % - intensity red paint is replaced with 25 % solution of red paint such that the new paint intensity is 40 %. what fraction of the original paint was replaced ?\nOptions: a. 2 / 5, b. 1 / 4, c. 1 / 5, d. 1 / 7, e. 2 / 3", "output": [ "b" ] }, { "id": "task1678-e3a851693c3544efbc56b1902e98a64c", "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": "task1678-de9c4e87b4ff4493b45019442ad6ff7d", "input": "Problem: what will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is rs. 59 ?\nOptions: a. 3944, b. 920, c. 7290, d. 6928, e. 4012", "output": [ "e" ] }, { "id": "task1678-15b10ec77e6d489189ba37105d66fc84", "input": "Problem: if the sum of two numbers is 45 and the h. c. f and l. c. m of these numbers are 4 and 5 respectively, then the product of the reciprocals is equal to :\nOptions: a. 20 / 20, b. 1 / 1, c. 2 / 30, d. 11 / 20, e. 1 / 20", "output": [ "e" ] }, { "id": "task1678-e33c83ba74f14334881660d9a6ab81ba", "input": "Problem: at jerri ’ s pet shop, 60 cups of bird seed are used every 5 days to feed 20 parakeets. how many cups of bird seed would be required to feed 10 parakeets for 5 days ?\nOptions: a. 45.6, b. 20, c. 9, d. 30, e. 65", "output": [ "d" ] }, { "id": "task1678-9de76208fb674c91847c13773e51cbb4", "input": "Problem: find the value of x: 2 x ² − 4.\nOptions: a. 0,2, b. - 2,2, c. - 2,1, d. 0,4, e. - 1,4", "output": [ "b" ] }, { "id": "task1678-6f20d89437fe4896b8e51be0c7f6344b", "input": "Problem: a jar of 180 marbles is divided equally among a group of marble - players today. if 2 people joined the group in the future, each person would receive 1 marble less. how many people are there in the group today ?\nOptions: a. 16, b. 18, c. 20, d. 22, e. 24", "output": [ "b" ] }, { "id": "task1678-4d7547e5df88492f8a68866019ea0bf0", "input": "Problem: a cricketer whose bowling average is 12.4 runs per wicket takes 5 wickets for 26 runs and there by decreases his average by 0.4. the number age of the family now is :\nOptions: a. 18, b. 17, c. 76, d. 85, e. 86", "output": [ "d" ] }, { "id": "task1678-a703031baa6045cca041bc434f3343a7", "input": "Problem: the average of first 5 multiples of 5 is\nOptions: a. 3, b. 6, c. 9, d. 12, e. 15", "output": [ "e" ] }, { "id": "task1678-a3cc4c14e52746aab3ddbe59a29366d1", "input": "Problem: a technician makes a round - trip to and from a certain service center by the same route. if the technician completes the drive to the center and then completes 50 percent of the drive from the center, what percent of the round - trip has the technician completed ?\nOptions: a. 70, b. 65, c. 60, d. 75, e. 80", "output": [ "d" ] }, { "id": "task1678-6619efb3f02b44438bbb99fec6615a4d", "input": "Problem: the difference of two numbers is 1415. on dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. what is the smaller number ?\nOptions: a. a. 270, b. b. 280, c. c. 290, d. d. 300, e. e. 310", "output": [ "b" ] }, { "id": "task1678-7026b70142e4408cabe82ad1af98ab36", "input": "Problem: the price of a jacket is reduced by 25 %. during a special sale the price of the jacket is reduced another 25 %. by approximately what percent must the price of the jacket now be increased in order to restore it to its original amount ?\nOptions: a. 32.5, b. 77.78, c. 48, d. 65, e. 67.5", "output": [ "b" ] }, { "id": "task1678-c8bff34a0dd44120a53044cf91c10d99", "input": "Problem: there is a 50 cm line marked at each centimeter and an insect is placed at every centimeter. 9 frogs are trained to jump a constant distance. the first one jumps 2 cm in every leap, the second one jumps 3 cm and so on until the 9 th one jumps 10 cm in every leap and they eat any insect that is available at that spot. if all of them start from start line and finish the entire 50 cm, how many insects were still left after the race was over ?\nOptions: a. 0, b. 4, c. 6, d. 8, e. 11", "output": [ "e" ] }, { "id": "task1678-343529cca54941b1a69db944b56a0bc3", "input": "Problem: of the 180 people at a party, 70 were women, and 30 women tried the appetizer. if 50 people did not try the appetizer, what is the total number of men who tried the appetizer ?\nOptions: a. 40, b. 50, c. 60, d. 70, e. 100", "output": [ "e" ] }, { "id": "task1678-8da74688518f40b7926626442f7dd66e", "input": "Problem: danny and steve are running towards each other, each one from his own house. danny can reach steve ' s house in 25 minutes of running, which is half the time it takes steve to reach danny ' s house. if the two started to run at the same time, how much time longer will it take steve to reach the halfway point between their houses than danny to reach the halfway point between their houses ?\nOptions: a. 12.5 minutes., b. 25 minutes, c. 35 minutes., d. 35 minutes, e. 75 minutes", "output": [ "a" ] }, { "id": "task1678-6679e6f601934e83bf859e0dda140f12", "input": "Problem: we run a business that rents out canoes and kayaks. a canoe rental costs $ 15 per day, and a kayak rental costs $ 18 dollars per day. one day, our business rents out 3 canoes for every 2 kayaks and receives a total of $ 405 in revenue. how many more canoes than kayaks were rented out ?\nOptions: a. 5, b. 6, c. 7, d. 8, e. 9", "output": [ "a" ] }, { "id": "task1678-6e70aa28bc6a41b98f94fd3c86edc7c0", "input": "Problem: how many positive integers between 1 and 200 are there such that they are multiples of 17 ?\nOptions: a. 9, b. 11, c. 13, d. 10, e. 8", "output": [ "b" ] }, { "id": "task1678-6ccdcfb4a6484cff974fc2815a697acd", "input": "Problem: in a company the manager wants to give some gifts to all of the workers. in each block there are about 100 workers are there. the total amount for giving the gifts for all the workers is $ 4000. the worth of the gift is $ 4. how many blocks are there in the company ?\nOptions: a. 12, b. 10, c. 15, d. 17, e. 20", "output": [ "b" ] }, { "id": "task1678-9bf1133cd43e4a589700e10c8018ed61", "input": "Problem: in what time will a railway train 60 m long moving at the rate of 36 kmph pass a telegraph post on its way ?\nOptions: a. 2, b. 7, c. 8, d. 6, e. 9", "output": [ "d" ] }, { "id": "task1678-a0346a6f990a4ce9a888ba9102e0539d", "input": "Problem: three pipes a, b and c can fill a tank from empty to full in 30 minutes, 20 minutes and 10 minutes respectively. when the tank is empty, all the three pipes are opened. a, b and c discharge chemical solutions p, q and r respectively. what is the proportion of solution p in the liquid in the tank after 3 minutes ?\nOptions: a. 3 / 11, b. 2 / 11, c. 1 / 11, d. 4 / 11, e. 1 / 11", "output": [ "b" ] }, { "id": "task1678-cf58c2bcf95b407b9b4075d598b125b2", "input": "Problem: a man buys 54 pens at marked price of 46 pens from a whole seller. if he sells these pens giving a discount of 1 %, what is the profit percent ?\nOptions: a. 7.6 %, b. 7.7 %, c. 16.21 %, d. 13.6 %, e. 7.8 %", "output": [ "c" ] }, { "id": "task1678-9cbf66d295d641ad8671b03bf373a8f7", "input": "Problem: find the area of a cuboid of length 15 cm, breadth 10 cm. and height 16 cm.\nOptions: a. 2400 cm cube, b. 2410 cm cube, c. 2420 cm cube, d. 2430 cm cube, e. 2480 cm cube", "output": [ "a" ] }, { "id": "task1678-906bd8364c43461999c55039c96fa985", "input": "Problem: a can do a piece of work in 15 days. a does the work for 5 days only and leaves the job. b does the remaining work in 6 days. in how many days b alone can do the work ?\nOptions: a. 5 days, b. 7 days, c. 12 days, d. 9 days, e. 10 days", "output": [ "d" ] }, { "id": "task1678-307a0a5430ff4f0b9dbd65eda0481e95", "input": "Problem: the sum of first n consecutive odd integers is n ^ 2. what is the sum of all odd integers between 15 and 41 inclusive.\nOptions: a. 351, b. 392, c. 410, d. 424, e. 450", "output": [ "b" ] }, { "id": "task1678-e91acd6b2fe84cf09a3dcbca5f3b5568", "input": "Problem: the cost price of a radio is rs. 1800 and it was sold for rs. 1430, find the loss % ?\nOptions: a. 18 %, b. 20.5 %, c. 30 %, d. 45 %, e. 12 %", "output": [ "b" ] }, { "id": "task1678-dce9f254533a4aa296bdee377091e4a4", "input": "Problem: when working alone, painter w can paint a room in 2 hours, and working alone, painter x can paint the same room in z hours. when the two painters work together and independently, they can paint the room in 3 / 4 of an hour. what is the value of z ?\nOptions: a. 3 / 4, b. 1 [ 1 / 5 ], c. 1 [ 2 / 5 ], d. 1 [ 3 / 4 ], e. 2", "output": [ "b" ] }, { "id": "task1678-0df425f20027443592a179898a097dd3", "input": "Problem: a work crew of 6 men takes 8 days to complete one - half of a job. if 9 men are then added to the crew and the men continue to work at the same rate, how many days will it take the enlarged crew to do the rest of the job ?\nOptions: a. 2, b. 3, c. 3 1 / 5, d. 4, e. 4 4 / 5", "output": [ "c" ] }, { "id": "task1678-d0a79020be0544cf9c49c3094df48b96", "input": "Problem: what is the dividend. divisor 17, the quotient is 8 and the remainder is 5\nOptions: a. a. 145, b. b. 141, c. c. 150, d. d. 153, e. e. 158", "output": [ "b" ] }, { "id": "task1678-49e3fa0a12bc4016bac2303d55aa0a39", "input": "Problem: a searchlight on top of the watch - tower makes 3 revolutions per minute. what is the probability that a man appearing near the tower will stay in the dark for at least 15 seconds ?\nOptions: a. 1 / 4, b. 1 / 3, c. 1 / 2, d. 2 / 3, e. 3 / 4", "output": [ "a" ] }, { "id": "task1678-8039d2351b084f9da0c1b7c61d12ac54", "input": "Problem: john and amanda stand at opposite ends of a straight road and start running towards each other at the same moment. their rates are randomly selected in advance so that john runs at a constant rate of 3, 4, or 5 miles per hour and amanda runs at a constant rate of 3, 4, 5, 6, or 7 miles per hour. what is the probability that john has traveled farther than amanda by the time they meet ?\nOptions: a. 1 / 2, b. 1 / 3, c. 1 / 5, d. 2 / 15, e. 4 / 15", "output": [ "c" ] }, { "id": "task1678-1e337cfad1d043e2a6f79e66fc08fb2f", "input": "Problem: the average of numbers 0.64205, 0.64203, 0.64202 and 0.64201 is ?\nOptions: a. 0.64202, b. 0.64204, c. 0.642022, d. 0.642028, e. none", "output": [ "d" ] }, { "id": "task1678-f685e1dffe654c2d84d34b2ced75a6d1", "input": "Problem: two bullet train s 140 m and 210 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks. the time ( in seconds ) which they take to cross each other, is :\nOptions: a. 15.8 sec., b. 12.6 sec., c. 11.8 sec., d. 10.8 sec., e. 08.8 sec.", "output": [ "b" ] }, { "id": "task1678-24fb5a4f4973440da30377d3c7600071", "input": "Problem: 4 friends are pooling their money for pizza. emma has 8 dollars. daya has 25 % more money than emma, jeff has 2 / 5 of the money daya has, and brenda has 4 more dollars than jeff. how much money does brenda have ?\nOptions: a. 14, b. 6, c. 7, d. 8, e. 10", "output": [ "d" ] }, { "id": "task1678-bb199aa1c1c4425c929c4c599e68fbf4", "input": "Problem: in one alloy there is 12 % chromium while in another alloy it is 8 %. 35 kg of the first alloy was melted together with 40 kg of the second one to form a third alloy. find the percentage of chromium in the new alloy.\nOptions: a. 8.8 %, b. 9.75 %, c. 9.2 %, d. 8.6 %, e. 8.4 %", "output": [ "b" ] }, { "id": "task1678-8a2b06199a6c4773afa6228df1eebcdd", "input": "Problem: mike took a taxi to the airport and paid $ 2.50 to start plus $ 0.25 per mile. annie took a different route to the airport and paid $ 2.50 plus $ 5.00 in bridge toll fees plus $ 0.25 per mile. if each was charged exactly the same amount, and annie ' s ride was 26 miles, how many miles was mike ' s ride ?\nOptions: a. 20, b. 30, c. 36, d. 46, e. 54", "output": [ "d" ] }, { "id": "task1678-d016f318d012478f857cc22afd80dc7a", "input": "Problem: fox jeans regularly sell for $ 15 a pair and pony jeans regularly sell for $ 18 a pair. during a sale these regular unit prices are discounted at different rates so that a total of $ 8.91 is saved by purchasing 5 pairs of jeans: 3 pairs of fox jeans and 2 pairs of pony jeans. if the sum of the two discount rates is 22 percent, what is the discount rate on pony jeans ?\nOptions: a. 9 %, b. 10 %, c. 11 %, d. 12 %, e. 15 %", "output": [ "c" ] }, { "id": "task1678-d9015dfda98b4ea58a27f727b3833f02", "input": "Problem: find the simple interest on $ 10000 at 4 % per annum for 12 months ?\nOptions: a. $ 400, b. $ 500, c. $ 650, d. $ 710, e. $ 1000", "output": [ "a" ] }, { "id": "task1678-5949eddc85394e4f9fe11e53d3799f9a", "input": "Problem: 50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. if the average displacement of water by a man is 3 m 3, then the rise in the water level in the tank will be :\nOptions: a. 20 cm, b. 25 cm, c. 35 cm, d. 18.75 cm, e. none of these", "output": [ "d" ] }, { "id": "task1678-93caa81face54c73aff82702c3bc5c94", "input": "Problem: a contractor undertakes to built a walls in 50 days. he employs 40 peoples for the same. however after 25 days he finds that only 40 % of the work is complete. how many more man need to be employed to complete the work in time ?\nOptions: a. 60, b. 30, c. 35, d. 20, e. none of these", "output": [ "a" ] }, { "id": "task1678-7eea36ec44c64b0e943edcf1ac2e3b19", "input": "Problem: the average weight of 6 person ' s increases by 4.5 kg when a new person comes in place of one of them weighing 75 kg. what might be the weight of the new person ?\nOptions: a. 160 kg, b. 175 kg, c. 180 kg, d. 102 kg, e. 190 kg", "output": [ "d" ] }, { "id": "task1678-a6780dfe511f41afb079f75f1732a791", "input": "Problem: a thief goes away with a santro car at a speed of 40 kmph. the theft has been discovered after half an hour and the owner sets off in a bike at 60 kmph when will the owner over take the thief from the start ?\nOptions: a. a. 2, b. b. 5, c. c. 7, d. d. 5, e. e. 1", "output": [ "e" ] }, { "id": "task1678-4696f195acff4287bb697630f5aa7926", "input": "Problem: sandy buys an old scooter for $ 900 and spends $ 300 on its repairs. if sandy sells the scooter for $ 1500, what is the gain percent ?\nOptions: a. 10 %, b. 15 %, c. 20 %, d. 25 %, e. 30 %", "output": [ "d" ] }, { "id": "task1678-44261077f4454245906f012d2c498d18", "input": "Problem: a, b, c, d, e are the 5 electronic shops in the naza market, which have 20, 30, 60, 80 and 50 t. v. sets with them respectively, then the average number of t. v. sets in each shop is\nOptions: a. 24, b. 48, c. 50, d. 60, e. none", "output": [ "b" ] }, { "id": "task1678-119f02467696474abe91c9a9834371df", "input": "Problem: a no. when divided by 281 gives a remainder 160, what remainder will be obtainedby dividingthe same no. 21 ?\nOptions: a. 21, b. 22, c. 23, d. 24, e. 25", "output": [ "a" ] }, { "id": "task1678-b92a03cdbd754c538a92aa866e85cad4", "input": "Problem: in the rectangular coordinate system, points ( 16, 0 ) and ( – 16, 0 ) both lie on circle c. what is the maximum possible value of the radius of c ?\nOptions: a. 2, b. 4, c. 8, d. 16, e. none of the above", "output": [ "d" ] }, { "id": "task1678-4dc86e92f0e942bcadb0247208f5f07c", "input": "Problem: the speed of a railway engine is 74 km per hour when no compartment is attached, and the reduction in speed is directly proportional to the square root of the number of compartments attached. if the speed of the train carried by this engine is 24 km per hour when 9 compartments are attached, the maximum number of compartments that can be carried by the engine is :\nOptions: a. 49, b. 18, c. 16, d. 17, e. 19", "output": [ "e" ] }, { "id": "task1678-ac0f8c5deaa8493fbc9fe480c215648f", "input": "Problem: the sum of even numbers between 1 and 31 is\nOptions: a. 16, b. 128, c. 240, d. 512, e. none", "output": [ "c" ] }, { "id": "task1678-2188e33ae74e442f92ef8e739d20f721", "input": "Problem: find value for x from below equation ? x + 1 = - 3\nOptions: a. 1, b. - 4, c. - 1, d. 2, e. 3", "output": [ "b" ] }, { "id": "task1678-132bc6ce250f49a1bc20bdf1450d996a", "input": "Problem: if the average ( arithmetic mean ) of a and b is 45 and the average of b and c is 50, what is the value of c â ˆ ’ a ?\nOptions: a. 25, b. 10, c. 90, d. 14, e. it can not be determined from the information given", "output": [ "b" ] }, { "id": "task1678-7120030d3337430389043a3d6bc6488f", "input": "Problem: a certain plant was 11 feet long on the day it was plantedthe length grows by a constant amount everyday ( inc. the first day it was planted.. if this plant grew by 30 % b / w the 4 th day and 10 th day after it was planted, how many feet per day does the plant grow\nOptions: a. a. 2, b. b. 4.5, c. c. 0.69, d. d. 5.5, e. e. 3", "output": [ "c" ] }, { "id": "task1678-859ed35227754af99a36557bf04b4a7b", "input": "Problem: 6,61, 212,507, _ ?\nOptions: a. 974, b. 994, c. 954, d. 845, e. 754", "output": [ "b" ] }, { "id": "task1678-69cb569168ec46f19af5764d4580b36e", "input": "Problem: john and steve are speed walkers in a race. john is 14 meters behind steve when he begins his final push. john blazes to the finish at a pace of 4.2 m / s, while steve maintains a blistering 3.7 m / s speed. if john finishes the race 2 meters ahead of steve, how long was john ’ s final push ?\nOptions: a. 13 seconds, b. 17 seconds, c. 26 seconds, d. 32 seconds, e. 51 seconds", "output": [ "d" ] }, { "id": "task1678-6adfb8fc50f94a5e844c0ab5b6389959", "input": "Problem: the average age of an adult class is 40 years. 12 new students with an avg age of 32 years join the class. therefore decreasing theaverage by 4 year. find what was theoriginal strength of class ?\nOptions: a. 11, b. 12, c. 17, d. 19, e. 21", "output": [ "b" ] }, { "id": "task1678-6fb5eeb36b664da58dafcabf4cac87db", "input": "Problem: running at the same constant rate, 5 identical machines can produce a total of 270 bottles per minute. at this rate, how many bottles could 10 such machines produce in 4 minutes ?\nOptions: a. 648, b. 1,800, c. 2,160, d. 10,800, e. 64,800", "output": [ "c" ] }, { "id": "task1678-f07cf9c4d25a4ee380b59dd81d4aa81d", "input": "Problem: the radius of the wheel of a bus is 100 cms and the speed of the bus is 66 km / h, then the r. p. m. ( revolutions per minutes ) of the wheel is\nOptions: a. 175, b. 250, c. 300, d. 330, e. none of these", "output": [ "a" ] }, { "id": "task1678-bab3e64c23074a52b731ec1747de63c7", "input": "Problem: what is the smallest positive integer x, such that 1944 x is a perfect cube ?\nOptions: a. 4, b. 3, c. 8, d. 12, e. 18", "output": [ "b" ] }, { "id": "task1678-3adef3699a324d0591d5e984cb67aca8", "input": "Problem: if n is an integer and 101 n ^ 2 is less than or equal to 6400, what is the greatest possible value of n ?\nOptions: a. 7, b. 8, c. 9, d. 10, e. 11", "output": [ "a" ] }, { "id": "task1678-bc4d2652af3e452da262f42ad146bf02", "input": "Problem: a number whose fifth part increased by 5 is equal to its fourth part diminished by 5 is ?\nOptions: a. 160, b. 180, c. 200, d. 220, e. none", "output": [ "c" ] }, { "id": "task1678-5659dc24ace44f2e8e157026a85ad6e9", "input": "Problem: a train 360 m long runs with a speed of 45 km / hr. what time will it take to pass a platform of 390 m long ?\nOptions: a. 38 sec, b. 35 sec, c. 44 sec, d. 40 sec, e. 60 sec", "output": [ "e" ] }, { "id": "task1678-e0382399235e4f0c91b6dbfb9c4bff7d", "input": "Problem: a sum of money is to be distributed among a, b, c, d in the proportion of 5: 2: 4: 3. if c gets rs. 500 more than d, what is a ' s share ?\nOptions: a. rs. 2500, b. rs. 1000, c. rs. 1500, d. rs. 2000, e. none", "output": [ "a" ] }, { "id": "task1678-d60e31ed86c3461985c667819a6498c3", "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": "task1678-7ca9aa0b8aaf4197ae33143a85c91575", "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": "task1678-2168acbc166e41ae8528c90b8020a338", "input": "Problem: the ratio between b and y is 7 / 9; b and y are increased by 4, what is the ratio between the new values of b and y ?\nOptions: a. 7 / 9, b. 14 / 9, c. 7 / 18, d. 11 / 13, e. it can not be determined", "output": [ "e" ] }, { "id": "task1678-d7366443b70c4551a11f7735bd7c16be", "input": "Problem: the difference between simple interest and compound interest on rs. 1200 for one year at 10 % per annum reckoned half yearly is\nOptions: a. 2, b. 7, c. 3, d. 0, e. 8", "output": [ "b" ] }, { "id": "task1678-11078ea0cbfe4273943ff0b4d0d855f9", "input": "Problem: a woman can do a piece of work in 40 days. man is 25 % more efficient than woman. in how many days a man can do the same piece of work ?\nOptions: a. 32 days, b. 36 days, c. 38 days, d. 40 days, e. 53 days", "output": [ "a" ] }, { "id": "task1678-10ad50c1c8be4810b8935fb9ac6d8b9b", "input": "Problem: if a ^ 2 + b ^ 2 = 144 and ab ≠ 0, then the greatest possible value for b is between\nOptions: a. 16 and 13, b. 12 and 3, c. 11 and 4, d. 10 and 5, e. 9 and 6", "output": [ "b" ] }, { "id": "task1678-cf1f0b795e4d479eb6d05e6baa462d92", "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": "task1678-40993e52cba44ea8817e43083c801a6a", "input": "Problem: ram, who is half as efficient as krish, will take 21 days to complete a task if he worked alone. if ram and krish worked together, how long will they take to complete the task ?\nOptions: a. 16 days, b. 12 days, c. 8 days, d. 7 days, e. 18 days", "output": [ "d" ] }, { "id": "task1678-87d0e011c36147d1a1f3ca5660cb25ca", "input": "Problem: calculate the l. c. m of 7 / 10, 8 / 9, 3 / 8, 5 / 12 is :\nOptions: a. 840, b. 70, c. 740, d. 140, e. 940", "output": [ "a" ] }, { "id": "task1678-82a9e7a05df34f77b6f4da4ae803bd17", "input": "Problem: a circular mat with diameter 18 inches is placed on a square tabletop, each of whose sides is 24 inches long. which of the following is closest to the fraction of the tabletop covered by the mat ?\nOptions: ['a. 5 / 12', 'b. 3 / 5', 'c. 1 / 2', 'd. 3 / 8', 'e. 5 / 6']", "output": [ "d" ] }, { "id": "task1678-1022a7d12af944f8abe5bb7d06fc35df", "input": "Problem: a man swims downstream 36 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water ?\nOptions: a. 7, b. 8, c. 9, d. 2, e. 4", "output": [ "c" ] }, { "id": "task1678-2ef0fa01d33146159849ad0f7c236869", "input": "Problem: the cash realised on selling a 14 % stock is rs. 109.25, brokerage being 1 / 4 % is ?\nOptions: a. 366, b. 106, c. 102, d. 109, e. 122", "output": [ "d" ] }, { "id": "task1678-d478f49b0753410a8a0cc21b9b9f40a5", "input": "Problem: the price of maruti car rises by 30 percent while the sales of the car come down by 20 %. what is the percentage change in the total revenue ?\nOptions: a. - 4 %, b. - 2 %, c. + 4 %, d. + 2 %, e. none of these", "output": [ "c" ] }, { "id": "task1678-d145da2e1fef4c69955b82fe99d1e973", "input": "Problem: if p and q are positive integers each greater than 1, and 17 ( p + 1 ) = 21 ( q + 1 ), what is the least possible value of p + q ?\nOptions: a. 36, b. 42, c. 44, d. 46, e. none", "output": [ "a" ] }, { "id": "task1678-890fdeb64ea34416bbc6cecff0444f7e", "input": "Problem: the ratio of a to b is 4 to 5, where a and b are positive. if x equals a increased by 25 percent of a, and m equals b decreased by 60 percent of b, what is the value of m / x ?\nOptions: a. 1 / 3, b. 2 / 5, c. 3 / 4, d. 3 / 2, e. 2 / 3", "output": [ "b" ] }, { "id": "task1678-2a655053c82f45e38dbcb3e1811cb8af", "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": "task1678-797578b8d0c543ab818f3466f08214b3", "input": "Problem: three rugs have a combined area of 212 square meters. by overlapping the rugs to cover floor area of 140 square meters, the area that is covered by exactly two layers of rug is 24 square meters. what is the area that is covered with three layers of rug ?\nOptions: a. 18 square meters, b. 20 square meters, c. 24 square meters, d. 28 square meters, e. 30 square meters", "output": [ "c" ] }, { "id": "task1678-aee6cf2f66f4405fabd27bd6b8a8915b", "input": "Problem: when 2 / 9 of the votes on a certain resolution have been counted, 3 / 4 of those counted are in favor of the resolution. what fraction q of the remaining votes must be against the resolution so that the total count will result in a vote of 2 to 1 against the resolution ?\nOptions: a. 11 / 14, b. 13 / 18, c. 4 / 7, d. 3 / 7, e. 3 / 14", "output": [ "a" ] }, { "id": "task1678-09f7716d20474d11a75c6b0ba0ca21bb", "input": "Problem: for 2 consecutive yrs, my incomes are in the ratio of 4: 7 and expenses in the ratio of 3: 5. if my income in the 2 nd yr is rs. 42000 & my expenses in the first yr in rs. 20000, my total savings for the two - year is\nOptions: a. s. 8000, b. s. 9000, c. s. 9900, d. s. 9990, e. s. 11000", "output": [ "e" ] }, { "id": "task1678-94bb7f74ce6a49dd881a98fe3f9243e9", "input": "Problem: tim came second in math. when his mother asked him how much he had scored, he answered that he got the sum of the first 12 even numbers. his mother immediately worked out the answer. how much had he scored in math ?\nOptions: a. 156, b. 146, c. 158, d. 187, e. 160", "output": [ "a" ] }, { "id": "task1678-6eec718a930145d3877d4ab07f39c4f5", "input": "Problem: during a certain season, a team won 70 percent of its first 100 games and 50 percent of its remaining games. if the team won 70 percent of its games for the entire season, what was the total number of games that the team played ?\nOptions: a. 180, b. 170, c. 156, d. 150, e. 100", "output": [ "e" ] }, { "id": "task1678-d61ced547dda4bbab0d7351256f3e45e", "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 six 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. 54: 8", "output": [ "e" ] }, { "id": "task1678-361856f034454b9680cafc76f796b6e0", "input": "Problem: if x 2 + kx - 3, is divisible by ( x - 1 ), what is the value of k\nOptions: a. - 1, b. 1, c. 2, d. - 1, e. 0", "output": [ "c" ] }, { "id": "task1678-53318c27712642098800e651e31cb4c9", "input": "Problem: if ( x - 10 ) ( y - 5 ) ( z - 2 ) = 1000 then what is the least value of x + y + z ? if x, y, z are all integer no.\nOptions: a. 7, b. 8, c. 9, d. 10, e. 11", "output": [ "a" ] }, { "id": "task1678-05de46260f58445eb34d78d2b6c66c67", "input": "Problem: 0.002 x 0.4 = ?\nOptions: a. 8.0, b. 0.008, c. 0.08, d. 0.8, e. 0.0008", "output": [ "e" ] }, { "id": "task1678-a863689bdbc54cf7b0359707e9d27ca9", "input": "Problem: for what value of x, is | x – 2 | + | x + 5 | + | x | = 17 ?\nOptions: a. 0, b. 3, c. - 3, d. 5, e. - 5", "output": [ "d" ] }, { "id": "task1678-25e336cdf4fe453b87e689c7aad37baf", "input": "Problem: a can run 4 times as fast as b and gives b a start of 60 m. how long should the race course be so that a and b might reach in the same time ?\nOptions: a. 70 m, b. 60 m, c. 80 m, d. 65 m, e. 75 m", "output": [ "c" ] }, { "id": "task1678-139fc7d0fe8f4627a3a0dff36d6f11ba", "input": "Problem: a train 175 m long, running with a speed of 63 km / hr will pass a tree in ?\nOptions: a. 22 sec, b. 16 sec, c. 17 sec, d. 88 sec, e. 10 sec", "output": [ "e" ] }, { "id": "task1678-7d741e3fd4bb415bb5c5e8325d966e03", "input": "Problem: an 80 - liter solution of cool - drink is made from 10 % jasmine water. if 8 liters of jasmine and 12 liters of water were added to the solution, what percent of the solution is jasmine ?\nOptions: a. 12 %, b. 14 %, c. 16 %, d. 18 %, e. 20 %", "output": [ "c" ] }, { "id": "task1678-cc740f4d2f4e4eb2a7bc4bb2449d164f", "input": "Problem: what is the sum of all the multiples of 10 between 0 and 99 ?\nOptions: a. 500, b. 620, c. 450, d. 340, e. 440", "output": [ "c" ] }, { "id": "task1678-633f127c4d8c4bbcb344ca1af3d1f28a", "input": "Problem: the length of rectangle is thrice its breadth and its perimeter is 120 m, find the area of the rectangle ?\nOptions: a. 432 sq m, b. 356 sq m, c. 452 sq m, d. 428 sq m, e. 675 sq m", "output": [ "e" ] }, { "id": "task1678-2a6f3a27601f413095203692ec06704f", "input": "Problem: an article is bought for rs. 805 and sold for rs. 900, find the gain percent ?\nOptions: a. 12.8 %, b. 17.8 %, c. 15.8 %, d. 11.8 %, e. 14.8 %", "output": [ "d" ] }, { "id": "task1678-87a3fbe21e2d42d583f6a0bef418587f", "input": "Problem: at an upscale fast - food restaurant, shin can buy 3 burgers, 7 shakes, and one cola for $ 120. at the same place it would cost $ 164.50 for 4 burgers, 10 shakes, and one cola. how much would it cost for a meal of one burger, one shake, and one cola ?\nOptions: a. $ 21, b. $ 27, c. $ 31, d. $ 41, e. it can not be determined", "output": [ "c" ] }, { "id": "task1678-373d28f454884fe688815a4489cf3939", "input": "Problem: 65 % of x = 20 % of 682.50. find the value of x ?\nOptions: a. 100, b. 210, c. 150, d. 180, e. 199", "output": [ "b" ] }, { "id": "task1678-78331adec6bb45f180b97b1581bcfac8", "input": "Problem: a palindrome is a number that reads the same front - to - back as it does back - to - front ( e. g. 202, 575, 1991, etc. ) p is the smallest integer greater than 200 that is both a prime and a palindrome. what is the sum of the digits of p ?\nOptions: a. 3, b. 4, c. 5, d. 6, e. 7", "output": [ "e" ] }, { "id": "task1678-d69ae513951447babcd430db7292c507", "input": "Problem: a car gets 40 kilometers per gallon of gasoline. how many gallons of gasoline would the car need to travel 120 kilometers ?\nOptions: a. 4.5, b. 5.5, c. 6.5, d. 3, e. 8.5", "output": [ "d" ] }, { "id": "task1678-e05585d9e3e7414288c11e9e26ee79a5", "input": "Problem: a ranch has both horses and ponies. exactly 5 / 7 of the ponies have horseshoes, and exactly 2 / 3 of the ponies with horseshoes are from iceland. if there are 4 more horses than ponies, what is the minimum possible combined number of horses and ponies on the ranch ?\nOptions: a. 34, b. 38, c. 42, d. 46, e. 50", "output": [ "d" ] }, { "id": "task1678-f379ede9969649bc9fab312f2fbab2e3", "input": "Problem: a fruit seller had some oranges. he sells 40 % oranges and still has 420 oranges. how many oranges he had originally ?\nOptions: a. 420, b. 700, c. 220, d. 400, e. none of these", "output": [ "b" ] }, { "id": "task1678-1918403556774f2eac462fefc5544305", "input": "Problem: if x ^ 2 + y ^ 2 = 16 and xy = 3, then ( x − y ) ^ 2 =\nOptions: a. 8, b. 11, c. 10, d. 17, e. 20", "output": [ "c" ] }, { "id": "task1678-c51dec3971c5424c9c4e285944743d9b", "input": "Problem: on the first day of her vacation, louisa traveled 160 miles. on the second day, traveling at the same average speed, she traveled 280 miles. if the 160 - mile trip took 3 hours less than the 280 - mile trip, what was the average speed, in miles per hour ?\nOptions: a. 40, b. 45, c. 46, d. 48, e. 50", "output": [ "a" ] }, { "id": "task1678-1127562cdf004887b53fec185e746e4e", "input": "Problem: evaluate: | 5 - 8 ( 3 - 12 ) | - | 5 - 11 | = ?\nOptions: a. 40, b. 50, c. 60, d. 71, e. 80", "output": [ "d" ] }, { "id": "task1678-c9b06d4f62e2404393b5f16ab5cf0a59", "input": "Problem: a 10 % stock yielding 8 % is quoted at ?\nOptions: a. 125, b. 170, c. 175, d. 180, e. 185", "output": [ "a" ] }, { "id": "task1678-046f11165ba349c68ca14a62fd3a7360", "input": "Problem: what is the sum of natural numbers between 30 and 100\nOptions: a. 4615, b. 4860, c. 5000, d. 5500, e. 5550", "output": [ "a" ] }, { "id": "task1678-34879704389a47dc8d3f6af01deaed84", "input": "Problem: what is the least value of x. so that 4 x 569 is divisible by 3 ?\nOptions: a. 2, b. 5, c. 1, d. 0, e. 7", "output": [ "d" ] }, { "id": "task1678-21abc97bbff54f97b93498794e713a70", "input": "Problem: if a trader sold two cars each at rs. 325475 and gains 12 % on the first and loses 12 % on the second, then his profit or loss percent on the whole is ?\nOptions: a. 1.44 %, b. 1.43 %, c. 1.34 %, d. 4.44 %, e. 1.74 %", "output": [ "a" ] }, { "id": "task1678-4d2a502c2bd14d82b0f7e81eeec7625f", "input": "Problem: i flew my tiny seaplane to visit my mother. on the flight up, i flew at 96 mph. on the way home, i flew 88 mph. what was my average speed for the trip ?\nOptions: a. 198 mph, b. 110 mph, c. 92 mph, d. 100 mph, e. 99 mph", "output": [ "c" ] }, { "id": "task1678-6f882121906742d98765856a9e670ec2", "input": "Problem: find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 20 cm ?\nOptions: a. 827 cm 2, b. 380 cm 2, c. 285 cm 2, d. 178 cm 2, e. 176 cm 2", "output": [ "b" ] }, { "id": "task1678-9ff92035f37d47588e27c45aafc20866", "input": "Problem: if x < y < z and y - x > 11, where x is an even integer and y and z are odd integers, what is the least possible value of z - x ?\nOptions: a. 6, b. 7, c. 8, d. 9, e. 15", "output": [ "e" ] }, { "id": "task1678-b253f5ba58e54453890022e8bdb3c345", "input": "Problem: find k if 24 / k = 4.\nOptions: a. 6, b. 7, c. 8, d. 4, e. 3", "output": [ "a" ] }, { "id": "task1678-6162ebfa7621410d83226b1d8267d2c0", "input": "Problem: a merchandise feedback online portal accords ‘ ratings ’ to a product by recording the percentage of customers who have reported their views as either ‘ satisfied ’ or ‘ unsatisfied ’ only. the portal rounds off the exact percentage value calculated to the closest integral value. if the percentage of unsatisfied customers as recorded by the portal is 57 %, what is the least possible number of people that could have reported their views as ‘ satisfied ’ ?\nOptions: a. 2, b. 3, c. 12, d. 43, e. 57", "output": [ "b" ] }, { "id": "task1678-c8aee6ed09214432a7047574971f09eb", "input": "Problem: a bag consists of 30 marbles, of which 5 are blue, 9 are red, and the remainder are white. if lisa is to select a marble from the bag at random, what is the probability that the marble will be red or white ?\nOptions: a. 5 / 6, b. 2 / 4, c. 1 / 4, d. 1 / 8, e. 1 / 16", "output": [ "a" ] }, { "id": "task1678-98c9bbd39d5d47a4b3d8c83cf506e152", "input": "Problem: the sides of a cube are in the ratio of 1: 2 the ratio of their volumes is ?\nOptions: a. 1: 2, b. 1: 4, c. 1: 8, d. 2: 1, e. 2: 4", "output": [ "c" ] }, { "id": "task1678-68a04e1068af4c5e8894797dfd303816", "input": "Problem: what is the least value of x, so that 23 x 57 is divisible by 3\nOptions: a. 2, b. 0, c. 1, d. 3, e. 4", "output": [ "c" ] }, { "id": "task1678-4e3c729d6e2a4ff2b507f07cd2047d98", "input": "Problem: a present value of a machine is $ 1000. its value depletiation rate is 10 % per annum then find the machine value after 2 years ?\nOptions: a. $ 900, b. $ 810, c. $ 915, d. $ 715, e. $ 795", "output": [ "b" ] }, { "id": "task1678-33447403b75049b3a1e8756f1c5ade40", "input": "Problem: in a certain school, 20 % of students are below 8 years of age. the number of students above 8 years of age is 2 / 3 of the number of students of 8 years of age which is 48. what is the total number of students in the school ?\nOptions: a. 72, b. 80, c. 120, d. 100, e. 150", "output": [ "d" ] }, { "id": "task1678-578c1473b72b4bd9998e3cda7bac5d94", "input": "Problem: to produce an annual income of rs. 1200 from a 15 % stock at 90, the amount of stock needed is :\nOptions: a. s. 10,000, b. s. 10,800, c. s. 14,400, d. s. 16,000, e. s. 46,000", "output": [ "a" ] }, { "id": "task1678-96328cd6c6f44e0284c65b0e5670b052", "input": "Problem: a and b began business with rs. 3000 and rs. 4000 after 8 months, a withdraws rs. 1000 and b advances rs. 1000 more. at the end of the year, their profits amounted to rs. 756 find the share of a.\nOptions: a. 240, b. 388, c. 288, d. 277, e. 122", "output": [ "c" ] }, { "id": "task1678-7bd2331756fc4ac5a752c12b7d6d0d9a", "input": "Problem: what is 2 2 / 3 - 1 1 / 4 divided by 1 / 2 - 1 / 3 ?\nOptions: a. 17 / 36, b. 36 / 17, c. 17 / 6, d. 17 / 2, e. 51 / 4", "output": [ "d" ] }, { "id": "task1678-91630a582dc44a48ac721f827d9e49cd", "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": "task1678-f1fc20dc05a947cda2e77898f356b2b0", "input": "Problem: there are 4 people of different heights standing in order of increasing height. the difference is 2 inches between the first person and the second person, and also between the second person and the third person. the difference between the third person and the fourth person is 6 inches and the average height is 78. how tall is the fourth person ?\nOptions: a. 82, b. 84, c. 86, d. 88, e. 90", "output": [ "b" ] }, { "id": "task1678-d04f6ef7b1f3428cb90bf81973d2078f", "input": "Problem: if a randomly selected positive single digit multiple of 3 is multiplied by a randomly selected prime number less than 20, what is the probability w that this product will be a multiple of 45 ?\nOptions: a. 1 / 32, b. 1 / 28, c. 1 / 24, d. 1 / 16, e. 1 / 14", "output": [ "c" ] }, { "id": "task1678-d0f7edd04b3d48b98cfb2a1f277921f9", "input": "Problem: during a pizza buffet where a eats more times 1.8 than b, and b eats 8 times less than c. find the leat number of times all the 3 has to eat\nOptions: a. 350, b. 260, c. 360, d. 380, e. 285", "output": [ "c" ] }, { "id": "task1678-ca1e2b6ede094dc9b45d9a19abf80599", "input": "Problem: ashok secured average of 72 marks in 6 subjects. if the average of marks in 5 subjects is 74, how many marks did he secure in the 6 th subject ?\nOptions: a. 62, b. 74, c. 78, d. 80, e. none of these", "output": [ "a" ] }, { "id": "task1678-edd2fab230414c36948653eecf749437", "input": "Problem: at a certain restaurant, the average ( arithmetic mean ) number of customers served for the past x days was 85. if the restaurant serves 120 customers today, raising the average to 90 customers per day, what is the value of x ?\nOptions: a. 2, b. 5, c. 6, d. 15, e. 30", "output": [ "c" ] }, { "id": "task1678-3050a14b13ac410187a83986ef9a6d76", "input": "Problem: two boys starts from the same place walking at the rate of 5.5 kmph and 7.5 kmph respectively in the same direction. what time will they take to be 20 km apart ?\nOptions: a. 10, b. 11, c. 14, d. 15, e. 20", "output": [ "a" ] }, { "id": "task1678-ebe8d44cecfd4b838259255cfca41792", "input": "Problem: a man can row 6 kmph in still water. when the river is running at 2 kmph, it takes him 1 hour to row to a place and black. what is the total distance traveled by the man ?\nOptions: a. 5.32, b. 5.7, c. 5.76, d. 5.74, e. 5.71", "output": [ "a" ] }, { "id": "task1678-59b84fa56c0a474a8ec063a01a6a6b29", "input": "Problem: if 8 workers can build 8 cars in 8 days, then how many days would it take 6 workers to build 6 cars ?\nOptions: a. 2, b. 4, c. 6, d. 8, e. 12", "output": [ "d" ] }, { "id": "task1678-c382a8a4f0e84b1ea0e5487970fa4553", "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": "task1678-08217a32ec2b44b18edc99689349d0a0", "input": "Problem: a person can swim in still water at 12 km / h. if the speed of water 10 km / h, how many hours will the man take to swim back against the current for 8 km ?\nOptions: a. 4, b. 7, c. 5, d. 9, e. 6", "output": [ "a" ] }, { "id": "task1678-5474c2d9548a4f09a8cd443246872f67", "input": "Problem: the moon revolves around the earth at a speed of approximately 0.2 kilometers per second. this approximate speed is how many kilometers per hour ?\nOptions: a. 60, b. 720, c. 62.5, d. 3,600, e. 3,672", "output": [ "b" ] }, { "id": "task1678-9efcd33bd77a46a9b86e05c32f8ce5d0", "input": "Problem: if 1.5 cm of a pencil is purple, 0.5 cm of the remaining is black and the remaining 2 cm is blue, what is the total length of the pencil ?\nOptions: a. 5 cm, b. 3 cm, c. 1 cm, d. 4 cm, e. 2 cm", "output": [ "d" ] }, { "id": "task1678-1764684fc1d64bf994c8117feadb37d7", "input": "Problem: of the 130 employees at company x, 80 are full - time, and 100 have worked at company x for at least a year. there are 20 employees at company x who aren ’ t full - time and haven ’ t worked at company x for at least a year. how many full - time employees of company x have worked at the company for at least a year ?\nOptions: a. 20, b. 30, c. 50, d. 80, e. 100", "output": [ "b" ] }, { "id": "task1678-caa1c1bb4f864cc988aa0400391a2dcc", "input": "Problem: what is the rate percent when the simple interest on rs. 810 amount to rs. 155 in 4 years ?\nOptions: a. 4.78, b. 4.68, c. 4.58, d. 4.48, e. 4.38", "output": [ "a" ] }, { "id": "task1678-6616c01dccbf468395be67488126efac", "input": "Problem: a pharmaceutical company received $ 4 million in royalties on the first $ 20 million in sales of the generic equivalent of one of its products and then $ 9 million in royalties on the next $ 108 million in sales. by approximately what percent did the ratio of royalties to sales decrease from the first $ 20 million in sales to the next $ 108 million in sales ?\nOptions: a. 8 %, b. 15 %, c. 45 %, d. 52 %, e. 58 %", "output": [ "e" ] }, { "id": "task1678-93c53d21ae6048da93cc26aa8cff7a1b", "input": "Problem: a father said to his son, ` ` i was as old as you are at the present at the time of your birth ' '. if the father ' s age is 52 years now, the son ' s age 5 years back was :\nOptions: a. a. 14, b. b. 67, c. c. 56, d. d. 21, e. e. 34", "output": [ "d" ] }, { "id": "task1678-d1158b245f654c10bca81d4392d46750", "input": "Problem: at a certain fruit stand, the price of each apple is 40 cents and the price of each orange is 60 cents. mary selects a total of 20 apples and oranges from the fruit stand, and the average ( arithmetic mean ) price of the 20 pieces of fruit is 56 cents. how many oranges must mary put back so that the average price of the pieces of fruit that she keeps is 52 cents ?\nOptions: a. 6, b. 7, c. 8, d. 9, e. 10", "output": [ "e" ] }, { "id": "task1678-d31e1859ec384dea8359bb6a885c7256", "input": "Problem: there are 20 cm, 21 cm, 22 cm, 23 cm, 24 cm, 25 cm rods of quantities 23, 64, 32 respectively. find average of this data.\nOptions: a. 32.25, b. 21.45, c. 45, d. 22.45, e. 22", "output": [ "d" ] }, { "id": "task1678-3cd7da6ca78c44cca5b5f54e58b2eee7", "input": "Problem: a can finish a work in 18 days and b can do the same work in half the time taken by a. then, working together what part of the same work they can finish in a day ?\nOptions: a. 1 / 2, b. 1 / 3, c. 1 / 6, d. 2 / 5, e. 2 / 9", "output": [ "c" ] }, { "id": "task1678-168f6e5aeb2e451496d28ee0eb6a6316", "input": "Problem: if n is a positive integer and n ^ 2 is divisible by 18, then what is the largest positive integer that must divide n ?\nOptions: a. 3, b. 4, c. 6, d. 8, e. 9", "output": [ "c" ] }, { "id": "task1678-fc91cca2dcbf4350817925756eadf6e3", "input": "Problem: an employee ’ s annual salary was increased $ 25000. if her new annual salary now equals $ 90000, what was the percent increase ?\nOptions: a. 15 %, b. 162 ⁄ 3 %, c. 20 %, d. 38.46 %, e. 24 %", "output": [ "d" ] }, { "id": "task1678-14740e3e55d142bd905d4e38c0a297ac", "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": "task1678-45735c0b99f64780be8750197fc9d553", "input": "Problem: mr. parkin invested in fund z and fund b. the total amount she invested, in both funds combined, was $ 100000. in one year, fund z paid 23 % and fund b paid 17 %. the interest earned in fund b was exactly $ 200 greater than the interest earned in fund z. how much did ms. morris invest in fund z ?\nOptions: a. $ 32000, b. $ 36000, c. $ 40000, d. $ 42000, e. $ 45000", "output": [ "d" ] }, { "id": "task1678-7bbc591a18e6401fbd37897548d3e43c", "input": "Problem: a train 100 meters long completely crosses a 300 meters long bridge in 36 seconds. what is the speed of the train is ?\nOptions: a. 32 kmph, b. 76 kmph, c. 34 kmph, d. 43 kmph, e. 40 kmph", "output": [ "e" ] }, { "id": "task1678-cad1c47a98d449f0bf5681c608b27b6f", "input": "Problem: a school has 11 maths 8 physics and 5 chemistry teachers each teacher can teach 3 subjects max what is he minimum number of teachers required\nOptions: a. 2, b. 4, c. 6, d. 8, e. 9", "output": [ "d" ] }, { "id": "task1678-d90181342bdf4521bb1dbc3d1e6760e3", "input": "Problem: trapezoid jklm in the x - y plane has coordinates j = ( – 3, – 4 ), k = ( – 3, 1 ), l = ( 5, 7 ), and m = ( 5, – 4 ). what is its perimeter ?\nOptions: a. 34, b. 36, c. 38, d. 40, e. ( f ) 42", "output": [ "a" ] }, { "id": "task1678-25ea49e733ce49829b48cf066dce0992", "input": "Problem: | - 2 | ( | - 25 | - | 5 | ) = ? ? source: preparation material mba center\nOptions: a. 40, b. – 60, c. 60, d. 75, e. 100", "output": [ "a" ] }, { "id": "task1678-03611f8c03f148778ea7b28c4dd82239", "input": "Problem: at a certain fruit stand, the price of each apple is 40 cents and the price of each orange is 60 cents. mary selects a total of 30 apples and oranges from the fruit stand, and the average ( arithmetic mean ) price of the 30 pieces of fruit is 56 cents. how many oranges must mary put back so that the average price of the pieces of fruit that she keeps is 52 cents ?\nOptions: a. 10, b. 11, c. 13, d. 14, e. 15", "output": [ "e" ] }, { "id": "task1678-d5d2d34e77634e518bb09f19bb30cee4", "input": "Problem: a shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 12 % while buying and by 30 % while selling. what is his percentage profit ?\nOptions: a. 10.22 %, b. 20.22 %, c. 21.22 %, d. 60 %, e. ca n ' t be calculated", "output": [ "d" ] }, { "id": "task1678-abc26d01b6544e1e8753222ae897c10a", "input": "Problem: a train covers a distance of 12 km in 16 min. if it takes 6 sec to pass a telegraph post, then the length of the train is ?\nOptions: a. 80, b. 90, c. 60, d. 75, e. 85", "output": [ "d" ] }, { "id": "task1678-71caecc414d545929cc0aa6afbe66a4f", "input": "Problem: a statue is being carved by a sculptor. the original piece of marble weighed 180 kg. in the first week 28 percent is cut away. in the second week 18 percent of the remainder is cut away. in the third week the statue is completed when 20 percent of the remainder is cut away. what is the weight of the final statue ?\nOptions: a. 105 kg, b. 85 kg, c. 108 kg, d. 125 kg, e. 117 kg", "output": [ "b" ] }, { "id": "task1678-b18a701331df48a5bc773455b11284a3", "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": "task1678-8b5216eb28454312900d31c21b87cac0", "input": "Problem: a and b together can do a piece of work in 6 days and a alone can do it in 13 days. in how many days can b alone can do it ?\nOptions: a. 12 days, b. 15 days, c. 78 / 7 days, d. 21 days, e. 22 / 7 days", "output": [ "c" ] }, { "id": "task1678-fdb8b68f4d954db1acc2f484343acbad", "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": "task1678-e876c6524786470ab95b2f76881e4921", "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": "task1678-5de459939dc64dfdb99cd44dce03ca57", "input": "Problem: the h. c. f of two numbers is 13 and their l. c. m is 2200. if one of the numbers is 286, then the other is ?\nOptions: a. 85, b. 90, c. 95, d. 100, e. 105", "output": [ "d" ] }, { "id": "task1678-fd25e0c1a6604faa81fa9b662ce57a6b", "input": "Problem: the length of a side of a hexagon is 4 inches. what is the perimeter ?\nOptions: ['a. 22', 'b. 23', 'c. 24', 'd. 25', 'e. 26']", "output": [ "c" ] }, { "id": "task1678-e2d2c450e0e74132a6495b971ab6eafc", "input": "Problem: for 2 consecutive yrs, my incomes are in the ratio of 4: 7 and expenses in the ratio of 3: 5. if my income in the 2 nd yr is rs. 42000 & my expenses in the first yr in rs. 23000, my total savings for the two - year is\nOptions: a. s. 8000, b. s. 9000, c. s. 9900, d. s. 9990, e. s. 10000", "output": [ "a" ] }, { "id": "task1678-a91a3f49f0c44bbd96d501fb384ffc74", "input": "Problem: how long does a train 110 m long running at the speed of 72 km / hr takes to cross a bridge 112 m length ?\nOptions: a. 82.1 sec, b. 12.1 sec, c. 16.1 sec, d. 11.1 sec, e. 12.15 sec", "output": [ "d" ] }, { "id": "task1678-1c1077efe1c8483599b5d7bb908306ac", "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": "task1678-d8d6cca22083497bab2e792706a62a72", "input": "Problem: the average of first 10 odd numbers is ?\nOptions: a. 22, b. 10, c. 98, d. 66, e. 88", "output": [ "b" ] }, { "id": "task1678-52b91e8b3e864ac0b4a9d0d0a5f588b4", "input": "Problem: at a certain university, 65 % of the professors are women, and 70 % of the professors are tenured. if 90 % of the professors are women, tenured, or both, then what percent of the men are tenured ?\nOptions: a. 25, b. 37.5, c. 50, d. 62.5, e. 75", "output": [ "d" ] }, { "id": "task1678-050783085f3f417abc6cd3f3dec76e5e", "input": "Problem: a can do a work in 15 days and b in 20 days. if they work on it together for 5 days, then the fraction of the work that is left is\nOptions: a. 8 / 17, b. 7 / 15, c. 3 / 15, d. 5 / 12, e. 1 / 4", "output": [ "d" ] }, { "id": "task1678-9cd8f9d3129a43dcaa2b0555d790846a", "input": "Problem: if $ 5,000 is invested in an account at a simple annual rate of r percent, the interest is $ 250. when $ 16,000 is invested at the same interest rate, what is the interest from the investment ?\nOptions: a. $ 700, b. $ 750, c. $ 850, d. $ 800, e. $ 900", "output": [ "d" ] }, { "id": "task1678-b986509761cd4d909220f412c6f87504", "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": "task1678-01b903dca3aa4b9d986dd011601f41e5", "input": "Problem: find the volume & curved surface area of a cylinder with diameter of base 14 cm and height 60 cm.\nOptions: ['a. 260 cm 2', 'b. 2610 cm 2', 'c. 2600 cm 2', 'd. 2640 cm 2', 'e. 264 cm 2']", "output": [ "d" ] }, { "id": "task1678-07d1c7de772b4ab886f4ec703e00d2a2", "input": "Problem: a car traveled 560 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city. if the car traveled 6 fewer miles per gallon in the city than on the highway, how many miles per gallon did the car travel in the city ?\nOptions: a. 9, b. 16, c. 21, d. 22, e. 27", "output": [ "a" ] }, { "id": "task1678-b38851aa02d34c2fb55810a63b036f5e", "input": "Problem: a hall 36 m long and 15 m broad is to be paved with stones, each measuring 2 dm by 5 dm. the number of stones required is :\nOptions: ['a. 180', 'b. 1800', 'c. 5400', 'd. 18000', 'e. 1.8']", "output": [ "c" ] }, { "id": "task1678-eb2e355d53fa45ada2ba7d5385c7cfe6", "input": "Problem: by selling an article at rs. 900, a shopkeeper makes a profit of 25 %. at what price should he sell the article so as to make a loss of 25 % ?\nOptions: a. s. 600, b. s. 480, c. s. 500, d. s. 540, e. s. 550", "output": [ "d" ] }, { "id": "task1678-34dedd611ab94e63b7e92cc6575ce218", "input": "Problem: a train 220 meters long is running with a speed of 60 kmph. in what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going ?\nOptions: a. 5, b. 6, c. 7, d. 12, e. 9", "output": [ "d" ] }, { "id": "task1678-92f16385a46f4ddb996882cb82d5e786", "input": "Problem: assume that f ( 1 ) = 0 and f ( m + n ) = f ( m ) + f ( n ) + 4 ( 9 mn - 1 ). for all natural numbers ( integers > 0 ) m and n. what is the value of f ( 17 ) ?\nOptions: a. 4832, b. 4855, c. 4825, d. 4895, e. 4862", "output": [ "a" ] }, { "id": "task1678-5aff888013694a14afdd0e47358ac62b", "input": "Problem: allay ' s internet provider offers unlimited traffic which costs $ 0.5 per day charged off at 12 a. m. the service is discontinued when client ' s debt exceeds $ 5. if today in the morning allay makes a payment of $ 7, for how many days, including today, will she be connected to the internet without any additional payments, given her initial balance was $ 0 ?\nOptions: a. 15, b. 24, c. 25, d. 26, e. 13", "output": [ "c" ] }, { "id": "task1678-a4987ab9df13477c8d9d6f088f26c48d", "input": "Problem: the smallest value of n, for which n + 3 is not a prime number, is\nOptions: a. 1, b. 2, c. 6, d. 8, e. 3", "output": [ "e" ] }, { "id": "task1678-c9341778e67a4acabc077be7346c2fd2", "input": "Problem: a man swims downstream 72 km and upstream 45 km taking 6 hours each time; what is the speed of the current ?\nOptions: a. 2.28, b. 2.24, c. 2.27, d. 2.25, e. 2.23", "output": [ "d" ] }, { "id": "task1678-7000788026604941b640e0653b6f9bda", "input": "Problem: if ( 2 ^ 16 ) ( 25 ^ s ) = 5 ( 10 ^ m ) what is the value of m ?\nOptions: a. 7, b. 8, c. 15, d. 16, e. 23", "output": [ "d" ] }, { "id": "task1678-c6189bfdb5de4043ac05ae4d5a302a4f", "input": "Problem: 90 + 5 * 12 / ( 180 / 3 ) = ?\nOptions: a. 23, b. 78, c. 27, d. 91, e. 81", "output": [ "d" ] }, { "id": "task1678-e11dfc041eb4465893e97317bb798ba3", "input": "Problem: if 5 % more is gained by selling an article for rs. 350 than by selling it for rs. 340, the cost of the article is\nOptions: a. 289, b. 231, c. 200, d. 288, e. 111", "output": [ "c" ] }, { "id": "task1678-9d11400fa35a465b9027f9b708839c1c", "input": "Problem: a can finish a work in 20 days, b in 15 days and c in 12 days. b and c start the work but are forced to leave after 2 days. the remaining work was done by a in :\nOptions: a. 10, b. 11, c. 12, d. 13, e. 14", "output": [ "e" ] }, { "id": "task1678-834acf44df8c450b9475a965d49d91ac", "input": "Problem: when positive integer n is divided by positive integer j, the remainder is 8. if n / j = 150.25, what is value of j ?\nOptions: a. 16, b. 26, c. 32, d. 132, e. 20", "output": [ "c" ] }, { "id": "task1678-d2f564b2815e4860828c26f5c02beec7", "input": "Problem: a welder received an order to make a 1 million liter cube - shaped tank. if he has only 2 x 3 meter sheets of metal that can be cut, how many metal sheets will be required for this order ? ( 1 cubic meter = 1000 liters )\nOptions: a. 92, b. 90, c. 82, d. 78, e. 100", "output": [ "e" ] }, { "id": "task1678-20dcda83131b4e22bb34e5e579e49294", "input": "Problem: if 18 persons can build a wall 140 m long in 42 days, the number of days that 30 persons will take to complete a similar wall 100 m long, is.\nOptions: a. 18, b. 21, c. 24, d. 28, e. 30", "output": [ "a" ] }, { "id": "task1678-1b15008545ce4b8f9e2b8a1b3d7f946e", "input": "Problem: when x is multiplied by 3, the result is 10 more than the result of subtracting x from 26. what is the value of x ?\nOptions: a. - 4, b. 9, c. 11, d. 13, e. 22", "output": [ "b" ] }, { "id": "task1678-eb3d8b57529a498db26b5291dc17a364", "input": "Problem: if the l. c. m of two numbers is 560 and their product is 42000, find the h. c. f of the numbers.\nOptions: a. 50, b. 30, c. 75, d. 25, e. none of these", "output": [ "c" ] }, { "id": "task1678-2b05f255fceb4099b8d308798387b061", "input": "Problem: 1,000 ^ 2 + 1,001 ^ 2 + 1,002 ^ 2 + 1,003 ^ 2 + 1,004 ^ 2 =\nOptions: a. 6, 030,053, b. 6, 030,054, c. 6, 030,055, d. 6, 020,030, e. 6, 030,057", "output": [ "d" ] }, { "id": "task1678-5b2af437a205431ab17502ea15d81a57", "input": "Problem: in a room filled with 6 people, all 6 people have exactly 1 sibling in the room. if two individuals are selected from the room at random, what is the probability that those two individuals are not siblings ?\nOptions: a. 3 / 5, b. 4 / 5, c. 5 / 6, d. 5 / 12, e. 7 / 12", "output": [ "b" ] }, { "id": "task1678-95ed50facc85450dacc07de75768c083", "input": "Problem: find the least number of complete years in which a sum of money put out at 50 % compound interest will be more than double of itself ?\nOptions: a. 2, b. 3, c. 4, d. 5, e. 6", "output": [ "a" ] }, { "id": "task1678-972712ed0dbc4fbba75f7029868ab488", "input": "Problem: excluding stoppages, the average speed of a bus is 60 km / hr and including stoppages, the average speed of the bus is 40 km / hr. for how many minutes does the bus stop per hour ?\nOptions: a. 18 min, b. 17 min, c. 19 min, d. 20 min, e. 21 min", "output": [ "d" ] }, { "id": "task1678-0d5121d28bde480a8328c441015d3893", "input": "Problem: in an office, 50 percent of the workers have at least 5 years of service, and a total of 16 workers have at least 10 years of service. if 90 percent of the workers have fewer than 10 years of service, how many of the workers have at least 5 but fewer than 10 years of service ?\nOptions: a. 8, b. 64, c. 50, d. 144, e. 160", "output": [ "a" ] }, { "id": "task1678-ce7aff1239a0424ea3372bb7de4383bf", "input": "Problem: a certain roller coaster has 6 cars, and a passenger is equally likely to ride in any 1 of the 6 cars each time that passenger rides the roller coaster. if a certain passenger is to ride the roller coaster 6 times, what is the probability that the passenger will ride in each of the 6 cars ?\nOptions: a. 3 / 1944, b. 1 / 96, c. 2 / 96, d. 1 / 1944, e. 1", "output": [ "a" ] }, { "id": "task1678-b15594bf8de64540bbf5656ac0dd96fc", "input": "Problem: bruce and anne can clean their house in 4 hours working together at their respective constant rates. if anne ’ s speed were doubled, they could clean their house in 3 hours working at their respective rates. how many d hours does it currently take anne to clean the house on her own ?\nOptions: a. 6, b. 7, c. 8, d. 12, e. 14", "output": [ "d" ] }, { "id": "task1678-39110fe999a24d82ba417d32b0f3c723", "input": "Problem: the average of runs of a cricket player of 20 innings was 32. how many runs must he make in his next innings so as to increase his average of runs by 8 ?\nOptions: a. 96, b. 200, c. 128, d. 116, e. 122", "output": [ "b" ] }, { "id": "task1678-58fd2f0258ac43baa83225096dc57beb", "input": "Problem: a 9 meter long wire is cut into two pieces. if the longer piece is then used to form a perimeter of a square, what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point ?\nOptions: a. 1 / 6, b. 1 / 5, c. 2 / 9, d. 1 / 3, e. 2 / 5", "output": [ "c" ] }, { "id": "task1678-e485fe70dddf43e78eb43096b4e02fa3", "input": "Problem: a is two years older than b who is twice as old as c. if the total of the ages of a, b and c be 17, the how old is b ? a. 7 b. 8 c. 9 d. 10 explanation :\nOptions: a. 6, b. 7, c. 9, d. 10, e. 11", "output": [ "a" ] }, { "id": "task1678-d060bd6c649848cfbc9b735fa4793697", "input": "Problem: two pipes can fill a tank in 12 minutes and 20 minutes respectively. both pipes are opened together and after some time the first pipe is closed and the tank is full in totally 10 minutes. for how many minutes was first pipe open ?\nOptions: a. 8 minutes, b. 6 minutes, c. 7 minutes, d. 10 minutes, e. 9 minutes", "output": [ "b" ] }, { "id": "task1678-8334c5bb96534f3cb13c1f12deafe6f0", "input": "Problem: what is the area inscribed by the lines y = 6, x = 3, y = 2 x - 4 on an xy - coordinate plane ?\nOptions: a. a. 1, b. b. 2, c. c. 4, d. d. 8, e. e. 16", "output": [ "c" ] }, { "id": "task1678-f20dd312378240be8e4597f7343b9d2d", "input": "Problem: the ratio of males to females in a class is 2: 3. the career preferences of the students in the class are represented in a circle graph. if the area of the graph allocated to each career preference is proportional to the number of students who have that career preference, how many degrees of the circle should be used to represent a career that is preferred by one - fourth of the males and three - fourths of the females in the class ?\nOptions: a. 186, b. 192, c. 198, d. 204, e. 210", "output": [ "c" ] }, { "id": "task1678-417cf911117d4557a32526a567cc6ff2", "input": "Problem: the average of 50 numbers id 20. if two numbers, namely 45 and 55 are discarded, the average of the remaining numbers is :\nOptions: a. 22.75, b. 33.25, c. 22.25, d. 11.75, e. 18.75", "output": [ "e" ] }, { "id": "task1678-919e3ca6cabc4f64aed4f64a3ab0a4f3", "input": "Problem: the area of a triangle is with base 10 m and height 10 m ?\nOptions: a. 11, b. 10, c. 50, d. 122, e. 12", "output": [ "c" ] }, { "id": "task1678-8036fc4f9ddd4a39ab647cc713619589", "input": "Problem: in what time will a railway train 40 m long moving at the rate of 36 kmph pass a telegraph post on its way ?\nOptions: a. 3 sec, b. 4 sec, c. 5 sec, d. 6 sec, e. 7 sec", "output": [ "b" ] }, { "id": "task1678-437e3ad70539429d93e3629457cd3131", "input": "Problem: find remainder if ( 67 ^ 67 + 67 ) is divided by 68\nOptions: a. 60, b. 62, c. 66, d. 72, e. 78", "output": [ "c" ] }, { "id": "task1678-16654343f296485cbbef59dc55ce0e32", "input": "Problem: last year a worker saved 6 % of her annual salary. this year, she made 20 % more money than last year and she saved 5 % of her salary. the amount she saved this year was what percent of the amount she saved last year ?\nOptions: a. 90 %, b. 100 %, c. 110 %, d. 120 %, e. 130 %", "output": [ "b" ] }, { "id": "task1678-f7b68fd68fa3462ab25f768e173f348c", "input": "Problem: a walks at 10 kmph and 4 hours after his start, b cycles after him at 20 kmph. how far from the start does b catch up with a ?\nOptions: a. 100 km, b. 150 km, c. 80 km, d. 120 km, e. 200 km", "output": [ "c" ] }, { "id": "task1678-730f1f61d7fc4867ae5ecf26512ae885", "input": "Problem: a and b can do a piece of work in 10 days and 10 days respectively. they work together for 10 days and b leaves. in how many days the whole work is completed ?\nOptions: a. 30 days, b. 40 days, c. 50 days, d. 60 days, e. 70 days", "output": [ "a" ] }, { "id": "task1678-7d088e2fc3f14bb4b01a1f7976b5211c", "input": "Problem: one hour before john started walking from p to q, a distance of 33 miles, ann had started walking along the same road from q to p. ann walked at a constant speed of 3 miles per hour and john at 2 miles per hour. how many miles had ann walked when they met ?\nOptions: a. 6 miles, b. 8,4 miles, c. 9 miles, d. 9,6 miles, e. 21 miles", "output": [ "e" ] }, { "id": "task1678-43a5f851cde2483f998c7fa906e9766e", "input": "Problem: kim finds a 2 - meter tree branch and marks it off in thirds and fifths. she then breaks the branch along all the markings and removes one piece of every distinct length. what fraction of the original branch remains ?\nOptions: a. 3 / 5, b. 2 / 5, c. 7 / 5, d. 1 / 2, e. 8 / 15", "output": [ "a" ] }, { "id": "task1678-c3d5697025be4fc69f28dbec080ee997", "input": "Problem: two tests had the same maximum mark. the pass percentages in the first and the second test were 40 % and 45 % respectively. a candidate scored 216 marks in the second test and failed by 36 marks in that test. find the pass mark in the first test ?\nOptions: a. 277, b. 266, c. 111, d. 121, e. 224", "output": [ "e" ] }, { "id": "task1678-d23d5833fd2a4f2bab9fc70c088c72c7", "input": "Problem: a man can swim in still water at 12 km / h, but takes twice as long to swim upstream than downstream. the speed of the stream is ?\nOptions: a. 1.7, b. 2.67, c. 1.2, d. 1.5, e. 4", "output": [ "e" ] }, { "id": "task1678-88380608d996415d8228bc79e3da707e", "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": "task1678-0527eab272a34c40ad135bcb2d40c9ab", "input": "Problem: a certain meter records voltage between 0 and 10 volts inclusive. if the average value of 3 recordings on the meter was 4 volts, what was the smallest possible recording in volts ?\nOptions: a. 2, b. 3, c. 4, d. 5, e. 6", "output": [ "a" ] }, { "id": "task1678-2b0196140ef349538b3ca05aca596706", "input": "Problem: 5 drainage pipes, each draining water from a pool at the same constant rate, together can drain a certain pool in 12 days. how many additional pipes q, each draining water at the same constant rate, will be needed to drain the pool in 4 days ?\nOptions: a. 6, b. 9, c. 10, d. 12, e. 15", "output": [ "c" ] }, { "id": "task1678-3b60555261174b12a8e0472ab9e6154f", "input": "Problem: set a { 3, 3,3, 4,5, 5,5 } has a standard deviation of 1. what will the standard deviation be if every number in the set is multiplied by 3 ?\nOptions: a. a. 1, b. b. 2, c. c. 4, d. d. 3, e. e. 16", "output": [ "d" ] }, { "id": "task1678-138a1b4d4cac4531ae241158702cd57e", "input": "Problem: a dress on sale in a shop is marked at $ d. during the discount sale its price is reduced by 45 %. staff are allowed a further 40 % reduction on the discounted price. if a staff member buys the dress what will she have to pay in terms of d ?\nOptions: a. 0.35 d, b. 0.76 d, c. 0.65 d, d. 0.77 d, e. 0.33 d", "output": [ "e" ] }, { "id": "task1678-a122c06949eb4a59992615a5d982755f", "input": "Problem: convert 300 miles into km ?\nOptions: a. 360 km, b. 480 km, c. 510 km, d. 320 km, e. 500 km", "output": [ "b" ] }, { "id": "task1678-3b5b1e77eba84a2cbe28a03a47fd18bc", "input": "Problem: difference of 2 numbers is 100. if 5 % of one number is 10 % of the other number, find the addition of 2 numbers ?\nOptions: a. 150, b. 300, c. 210, d. 290, e. 180", "output": [ "b" ] }, { "id": "task1678-91c4e02db3284cabb9df68fecd1452f6", "input": "Problem: in a room with 6 people, 4 people have exactly 1 friend in the room and 3 people have exactly 2 friends in the room ( assuming that friendship is a mutual relationship, i. e. if jane is paul ' s friend, paul is jane ' s friend.. if two individuals are selected from the room at random, what is the probability that those two individuals are not friends ?\nOptions: a. 5 / 21, b. 3 / 7, c. 4 / 7, d. 5 / 7, e. 16 / 15", "output": [ "e" ] }, { "id": "task1678-10e8572f70fe48adbc2225152c77da57", "input": "Problem: the average weight of 4 person ' s increases by 8.5 kg when a new person comes in place of one of them weighing 95 kg. what might be the weight of the new person ?\nOptions: a. 129 kg, b. 134 kg, c. 180 kg, d. 185 kg, e. 190 kg", "output": [ "a" ] }, { "id": "task1678-bc178626563648e4a8b12bbb0e926b18", "input": "Problem: the s. i. on a certain sum of money for 2 years at 8 % per annum is half the c. i. on rs. 4000 for 2 years at 10 % per annum. the sum placed on s. i. is ?\nOptions: a. 2197, b. 1267, c. 1750, d. 2267, e. 2625", "output": [ "e" ] }, { "id": "task1678-b4c2fc54cf2a4bc79a67e313904cb509", "input": "Problem: two trains 120 m and 160 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks. the time which they take to cross each other is ?\nOptions: a. 10.9, b. 10.7, c. 10.3, d. 10.08, e. 10.2", "output": [ "d" ] }, { "id": "task1678-eb69e6a1348d4c4ead4b616927d1ea04", "input": "Problem: a, b and c start a business each investing 20,000. after 6 months a withdrew 5000, b withdrew 4000 and c invests 6000 more. at the end of the year, a total profit of 67,600 was recorded. find the share of b.\nOptions: a. 20,000, b. 21,200, c. 21,600, d. 20,500, e. none of these", "output": [ "c" ] }, { "id": "task1678-fb521472bb0d48c1a70492ee8067d2cb", "input": "Problem: in the first 20 overs of a cricket game, the run rate was only 4.6. what should be the run rate in the remaining 30 overs to reach the target of 396 runs ?\nOptions: a. 10.13, b. 9.13, c. 8.13, d. 11.13, e. 13.13", "output": [ "a" ] }, { "id": "task1678-d49c1ff9b5e341d290e2e3ebe58edce9", "input": "Problem: a club wants to mix 10 pounds of candy worth $ 8.00 per pound with candy worth $ 5.00 per pound to reduce the cost of the mixture to $ 6.00 per pound. how many pounds of the $ 5.00 per pound candy should be used ?\nOptions: a. 20, b. 30, c. 40, d. 50, e. 60", "output": [ "a" ] }, { "id": "task1678-c664ec290ebe47e19d6316209912611a", "input": "Problem: a ferry can transport 50 tons of vehicles. automobiles range in weight from 1,800 to 3,200 pounds. what is the greatest number of automobiles that can be loaded onto the ferry ?\nOptions: a. 23, b. 55, c. 48, d. 62, e. 70", "output": [ "b" ] }, { "id": "task1678-ab98ed3125e74f1286af41efb3f1a774", "input": "Problem: if the annual increase in the population of a town is 10 % and the present number of people is 15000, what will the population be in 2 years ?\nOptions: a. 12100, b. 15240, c. 18150, d. 18452, e. 19002", "output": [ "c" ] }, { "id": "task1678-ccd9dd1c24aa44d0b46a30386b954391", "input": "Problem: a plant manager must assign 8 new workers to one of five shifts. she needs a first, second, and third shift, and two alternate shifts. each of the shifts will receive 2 new workers. how many different ways can she assign the new workers ?\nOptions: a. 243, b. 336, c. 350, d. 486, e. 540", "output": [ "b" ] }, { "id": "task1678-daac5146785f45b9b832d9ac467cd504", "input": "Problem: 1 = 62 = 363 = 3634 = 3645 = 365, then 36 = ?\nOptions: a. 1, b. 2, c. 345, d. 445, e. 235", "output": [ "b" ] }, { "id": "task1678-783c0e53315e43dba2decd563ae6786b", "input": "Problem: a and b can do a piece of work in 7 days. with the help of c they finish the work in 5 days. c alone can do that piece of work in ?\nOptions: a. 33 days, b. 77 days, c. 30 days, d. 17 days, e. 18 days", "output": [ "c" ] }, { "id": "task1678-da63445d0c3142598fa41d8bc139a53b", "input": "Problem: convert the 13 / 36 m / s into kilometers per hour ?\nOptions: a. 2.9, b. 2.2, c. 1.3, d. 1.2, e. 1.8", "output": [ "c" ] }, { "id": "task1678-08901badc9d54644a4a5a49dac4e0a4f", "input": "Problem: a man has some hens and cows. if the number of heads be 100 and the number of feet equals 240, then the number of cows will be :\nOptions: a. 22, b. 23, c. 24, d. 20, e. 28", "output": [ "d" ] }, { "id": "task1678-ef2519556c8449a6aea3b8255dcbbd83", "input": "Problem: find large number from below question the difference of two numbers is 1000. on dividing the larger number by the smaller, we get 10 as quotient and the 10 as remainder\nOptions: a. 1234, b. 1110, c. 1456, d. 1200, e. 1600", "output": [ "b" ] }, { "id": "task1678-25b7ea454c7f4de4b73e2ba08c907978", "input": "Problem: the average height of 30 girls out of a class of 40 is 160 cm. and that of the remaining girls is 156 cm. the average height of the whole class is :\nOptions: a. 158 cms, b. 158.5 cms, c. 159 cms, d. 159.5 cms, e. none", "output": [ "c" ] }, { "id": "task1678-7fa9af043b3442da931946aa837f16d3", "input": "Problem: what is the units digit of 16 ^ 83 × 13 ^ 82 × 11 ^ 87 ?\nOptions: a. 4, b. 5, c. 6, d. 7, e. 8", "output": [ "c" ] }, { "id": "task1678-646fee124e6b4ac387d0bf7fbf029a92", "input": "Problem: a man owns 1 / 3 of market reserch beauro buzness, and sells 3 / 5 of his shares for 15000 rs, what is the value of buzness ?\nOptions: a. 55000, b. 75000, c. 65000, d. 190000, e. 250000", "output": [ "b" ] }, { "id": "task1678-1538bc11c41b48e59ae0d3e2449e69dd", "input": "Problem: jaylen was planning to save all summer for a pair of jordan 12 s. they cost $ 250. jaylen figured that he could cut grass to help with the cost of the sneakers. how many yards would jaylen have to cut if he charges $ 2.15 per yard ?\nOptions: a. 116 yards, b. 226 yards, c. 97 yards, d. 115.74 yards, e. 1 yard", "output": [ "d" ] }, { "id": "task1678-b0eb1a89de8b41e486861fd86bc237d2", "input": "Problem: what is the total number of integers between 200 and 500 that are divisible by 25 ?\nOptions: a. 20, b. 25, c. 14, d. 15, e. 18", "output": [ "d" ] }, { "id": "task1678-96776844aa32486ab4b475dd59b4fef3", "input": "Problem: at the end of the month, a certain ocean desalination plant ’ s reservoir contained 30 million gallons of water. this amount is twice the normal level. if this amount represents 75 % of the reservoir ’ s total capacity, how many million gallons short of total capacity is the normal level ?\nOptions: a. 10, b. 15, c. 20, d. 25, e. 30", "output": [ "c" ] }, { "id": "task1678-2f9a7208914a4ed29cad9370165ef133", "input": "Problem: matt gets a $ 1000 commission on a big sale. this commission alone raises his average commission by $ 150. if matt ' s new average commission is $ 250, how many sales has matt made ?\nOptions: a. 3, b. 4, c. 5, d. 6, e. 7", "output": [ "d" ] }, { "id": "task1678-77850e705b734a958adfbf4ec469bcf3", "input": "Problem: the present worth of $ 169 due in 2 years at 4 % per annum compound interest is ?\nOptions: a. $ 145.89, b. $ 138.62, c. $ 156.25, d. $ 160.23, e. $ 158.95", "output": [ "c" ] }, { "id": "task1678-de7cd05d563c429394d5ba6dab8427c5", "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": "task1678-7654106477074aa0b283b2a31f2ca808", "input": "Problem: by selling 11 pencils for a rupee a man loses 10 %. how many for a rupee should he sell in order to gain 20 % ?\nOptions: a. 8.25, b. 9.25, c. 7.25, d. 10.25, e. 3.25", "output": [ "a" ] }, { "id": "task1678-137a1e4ae2b34e069f4003a211d22db4", "input": "Problem: in the first 10 overs of a cricket game, the run rate was only 4.2. what should be the run rate in the remaining 40 overs to reach the target of 282 runs ?\nOptions: a. 6.25, b. 6.5, c. 6.75, d. 7, e. 6", "output": [ "e" ] }, { "id": "task1678-dec328326f5d4dc3aaad636cfd2daafc", "input": "Problem: average between two sets of numbers is closer to the set withmore numbers ?\nOptions: a. 60, b. 80, c. 98, d. 89, e. 91", "output": [ "b" ] }, { "id": "task1678-afa7eaefb0d54854a4ed7c8024c64618", "input": "Problem: crazy eddie has a key chain factory. eddie managed to decrease the cost of manufacturing his key chains while keeping the same selling price, and thus increased the profit from the sale of each key chain from 50 % of the selling price to 50 % of the selling price. if the manufacturing cost is now $ 50, what was it before the decrease ?\nOptions: a. $ 20, b. $ 40, c. $ 50, d. $ 80, e. $ 100", "output": [ "c" ] }, { "id": "task1678-e1c7e2ed23804e449803f68e8d1a655d", "input": "Problem: if the simple interest on a certain amount in at 4 % rate 5 years amounted to rs. 2240 less than the principal. what was the principal ?\nOptions: a. 1500, b. 2500, c. 2507, d. 2800, e. 11500", "output": [ "d" ] }, { "id": "task1678-a40bd0cb830944da8e1a03e42e518692", "input": "Problem: a jeep takes 9 hours to cover a distance of 480 km. how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time ?\nOptions: a. 48 kmph, b. 52 kmph, c. 35 kmph, d. 63 kmph, e. 65 kmph", "output": [ "c" ] }, { "id": "task1678-339e612350ea41978e38bcdc0bfd3d19", "input": "Problem: what is the tens digit of 6 ^ 22 ?\nOptions: a. 1, b. 3, c. 5, d. 7, e. 9", "output": [ "b" ] }, { "id": "task1678-55364ed1ace24f91aceca1fc22f84a67", "input": "Problem: in one hour, a boat goes 7 km along the steram and 5 km against the stream. the speed of the boat in still waer ( in km / hr ) is :\nOptions: a. 2, b. 4, c. 6, d. 12, e. 15", "output": [ "c" ] }, { "id": "task1678-7ae9cae45db542d8a6bda3830fbec6d5", "input": "Problem: a 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 36 sec. what is the length of the platform ?\nOptions: a. 389 m, b. 350 m, c. 289 m, d. 299 m, e. 25 m", "output": [ "e" ] }, { "id": "task1678-5e2174c6803f4c0cae75e7b86ab55440", "input": "Problem: a certain sum of money is divided among a, b and c such that a gets one - third of what b and c together get and b gets two - seventh of what a and c together get. if the amount received by a is $ 15 more than that received by b, find the total amount shared by a, b and c.\nOptions: a. $ 250, b. $ 340, c. $ 640, d. $ 440, e. $ 540", "output": [ "e" ] }, { "id": "task1678-95b7c5b1826941148a7c8a6f07f342d7", "input": "Problem: the distance between a & b is 1540 km. a person is traveling from a to b at 100 km / hr started at 6 am and another person is traveling from b to a at 120 km / hr and started at same time. then at what time they meet together.\nOptions: a. 11 am, b. 1 pm, c. 3 pm, d. 10 am, e. 9 am", "output": [ "b" ] }, { "id": "task1678-5def241d11104cf4a6ab1049c98bc417", "input": "Problem: williams works at a resort from the beginning of march to the end of september. during the month of august this past year, he made 8 times the average ( arithmetic mean ) of his monthly totals in tips for the other months. his total tips for august were what fraction of his total tips for all of the months he worked ?\nOptions: a. 3 / 7, b. 5 / 7, c. 6 / 7, d. 1 / 7, e. 4 / 7", "output": [ "e" ] }, { "id": "task1678-1cd5812a3285401f8c7edb52d49a31be", "input": "Problem: ajay can ride 50 km in 1 hour. in how many hours he can ride 1000 km ?\nOptions: a. 10 hrs, b. 15 hrs, c. 20 hrs, d. 25 hrs, e. 18 hrs", "output": [ "c" ] }, { "id": "task1678-d96d5c7dbd724d789598924ca59dac42", "input": "Problem: 0.0008 ? = 0.02\nOptions: a. 40, b. 4, c. 0.4, d. none of these, e. 0.04", "output": [ "e" ] }, { "id": "task1678-44576df4039a4682855f3a425927953b", "input": "Problem: if each edge of cube increased by 50 %, the percentage increase in\nOptions: a. 100, b. 114, c. 115, d. 125, e. 105", "output": [ "d" ] }, { "id": "task1678-bf67f3215db649e7911dfb976212bca5", "input": "Problem: a car started running at a speed of 30 km / hr and the speed of the car was increased by 2 km / hr at the end of every hour. find the total distance covered by the car in the first 11 hours of the journey.\nOptions: a. 342 km, b. 352 km, c. 642 km, d. 440 km, e. 382 km", "output": [ "d" ] }, { "id": "task1678-06fa8fbbb1a7472092212733ea5ff605", "input": "Problem: a ' s speed is 20 / 13 times that of b. if a and b run a race, what part of the length of the race should a give b as a head start, so that b beats a by 80 % of the length of the race ?\nOptions: a. 44 %, b. 48 %, c. 52 %, d. 42 %, e. 87 %", "output": [ "e" ] }, { "id": "task1678-e2ca194eb8e441b4a8f7a1becfbae2a2", "input": "Problem: marginal cost is the cost of increasing the quantity produced ( or purchased. by one unit. if the fixed cost for n products is $ 12,000 and the marginal cost is $ 200, and the total cost is $ 16,000, what is the value of n ?\nOptions: a. 20, b. 50, c. 60, d. 80, e. 100", "output": [ "a" ] }, { "id": "task1678-342e6fba5ee34917abec935e4219f97d", "input": "Problem: the mark up between ` ` normal plan ' ' price and ` ` premium plan ' ' price is 30 percent of the ` ` normal plan ' ' price. the markup is what percent of the ` ` premium plan ' ' price ? ( markup = difference between normal and premium price plans )\nOptions: a. 8 %, b. 20 %, c. 33 1 / 3 %, d. 45 %, e. 56 2 / 3 %", "output": [ "c" ] }, { "id": "task1678-0f57bae3957c4f2086ec6151c6fad1ce", "input": "Problem: 90 students represent x percent of the boys at jones elementary school. if the boys at jones elementary make up 50 % of the total school population of x students, what is x ?\nOptions: a. 134, b. 150, c. 225, d. 250, e. 500", "output": [ "a" ] }, { "id": "task1678-14e92dd0867445b88f0b3101ae2d5f58", "input": "Problem: paul ' s income is 40 % less than rex ' s income, quentin ' s income is 20 % less than paul ' s income, and sam ' s income is 40 % less than paul ' s income. if rex gave 60 % of his income to sam and 40 % of his income to quentin, quentin ' s new income would be what fraction of sam ' s new income ?\nOptions: a. 11 / 12, b. 13 / 17, c. 13 / 19, d. 12 / 19, e. 11 / 19", "output": [ "a" ] }, { "id": "task1678-fbbd12ee63f24ca0987089742ec766ff", "input": "Problem: the average salary of all the workers in a workshop is rs. 8000. the average salary of 8 technicians is rs. 12000 and the average salary of the rest is rs. 6000. the total number of workers in the workshop is :\nOptions: a. 22, b. 21, c. 88, d. 37, e. 24", "output": [ "e" ] }, { "id": "task1678-6440dfd2c5dd44ea8fe5aaf66b5ffd9b", "input": "Problem: what is the sum of all 3 digit numbers that leave a remainder of ' 2 ' when divided by 7 ?\nOptions: a. 70,592, b. 64,850, c. 64,749, d. 149,700, e. 156,720", "output": [ "a" ] }, { "id": "task1678-187baaf99ede4904a181a053e539efdd", "input": "Problem: a tyre has two punctures. the first puncture alone would have made the tyre flat in 9 minutes and the second alone would have done it in 6 minutes. if air leaks out at a constant rate, how long does it take both the punctures together to make it flat ?\nOptions: a. 315 min, b. 325 min, c. 335 min, d. 345 min, e. none of these", "output": [ "c" ] }, { "id": "task1678-fe1de62b691d4ce4bdb136df32115460", "input": "Problem: a sum of money is distributed among a, b, c, d in the proportion of 5: 2: 4: 3. if c gets $ 1000 more than d, what is the b ' s share ?\nOptions: a. $ 1000, b. $ 2000, c. $ 2500, d. $ 2850, e. $ 2950", "output": [ "b" ] }, { "id": "task1678-68cfaa2cd95c4e9cb9f662d06c8fff63", "input": "Problem: alex takes a loan of $ 6,000 to buy a used truck at the rate of 8 % simple interest. calculate the annual interest to be paid for the loan amount.\nOptions: a. 680, b. 700, c. 720, d. 480, e. 420", "output": [ "d" ] }, { "id": "task1678-b594385cab834d3fa56c6341e9052d64", "input": "Problem: during a certain two - week period, 60 percent of the movies rented from a video store were comedies, and of the remaining movies rented, there were 3 times as many dramas as action movies. if no other movies were rented during that two - week period and there were a action movies rented, then how many comedies, in terms of a, were rented during that two - week period ?\nOptions: a. 5 a, b. 6 a, c. 8 a, d. 14 a, e. 20 a", "output": [ "b" ] }, { "id": "task1678-77d77b45cb074b538a824ff8241c1319", "input": "Problem: if 15 % of a is the same as 40 % of b, then a: b is :\nOptions: a. 5: 4, b. 8: 3, c. 7: 16, d. 2: 17, e. 3: 5", "output": [ "b" ] }, { "id": "task1678-4010ef18e2f241ca9eed49b1fa9b2e62", "input": "Problem: after successive discounts of 20 %, 10 % and 5 % a certain good is sold for rs. 6500. find the actual price of the good.\nOptions: a. s. 6000, b. s. 9000, c. s. 10800, d. s. 9503, e. s. 9980", "output": [ "d" ] }, { "id": "task1678-a9ec4ead7fa247f48f032fd1104bd4f5", "input": "Problem: if a man walks at a rate of 10 kmph, he misses a train by 14 minutes. however, if he walks at the rate of 12 kmph, he reaches the station 10 minutes before the arrival of the train. find the distance covered by him to reach the station.\nOptions: a. 6, b. 15, c. 12, d. 4, e. 8", "output": [ "a" ] }, { "id": "task1678-d87fb676bd3e407bb09a08c44f21c607", "input": "Problem: of 32 applicants for a job, 14 had at least 4 years ' experience, 18 had degrees, and 7 had less than 4 years ' experience and did not have a degree. how many of the applicants had at least 4 years ' experience and a degree ?\nOptions: a. 14, b. 13, c. 9, d. 7, e. 5", "output": [ "d" ] }, { "id": "task1678-5498fc218c274a95a0e072956060d992", "input": "Problem: a box contains 10 tablets of medicine a and 10 tablets of medicine b. what is the least number of tablets that should be taken from the box to ensure that at least two tablets of each kind are among the extracted.\nOptions: a. 12, b. 15, c. 17, d. 19, e. 21", "output": [ "a" ] }, { "id": "task1678-2168cb68ac3a4b5c8ab900624eb54937", "input": "Problem: express a speed of 63 kmph in meters per second ?\nOptions: a. 10 mps, b. 14 mps, c. 17.5 mps, d. 19.4 mps, e. 10.8 mps", "output": [ "c" ] }, { "id": "task1678-496357ab41024e6cb01563a966ff632b", "input": "Problem: if w / x = 2 / 3 and w / y = 3 / 5, then ( x + y ) / y =\nOptions: a. 4 / 5, b. 9 / 10, c. 7 / 5, d. 8 / 5, e. 9 / 5", "output": [ "b" ] }, { "id": "task1678-a5202fe8238348efb74d3bbafec35718", "input": "Problem: what least number must be subtracted from 42739 so that remaining no. is divisible by 15\nOptions: a. 3, b. 4, c. 6, d. 8, e. 9", "output": [ "b" ] }, { "id": "task1678-27cf93e25f4e40a9a03ca4521c376212", "input": "Problem: 18 business executives and 7 chairmen meet at a conference. if each business executive shakes the hand of every other business executive and every chairman once, and each chairman shakes the hand of each of the business executives but not the other chairmen, how many handshakes would take place ?\nOptions: a. 144, b. 131, c. 279, d. 90, e. 45", "output": [ "c" ] }, { "id": "task1678-9ea4af3fd1214745b4a8b8df65aecde7", "input": "Problem: for each color copy, print shop x charges $ 1.25 and print shop y charges $ 2.75. how much greater is the charge for 40 color copies at print shop y than at print shop x ?\nOptions: a. $ 48, b. $ 54, c. $ 60, d. $ 66, e. $ 72", "output": [ "c" ] }, { "id": "task1678-33f3cacefb0b45e58602783393bef6b5", "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": "task1678-744543c1528342dd855be1868d5828b6", "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": "task1678-7af49a94a5bf4fc0b2ba4f397aedce3b", "input": "Problem: if n = 2.0423 and n * is the decimal obtained by rounding n to the nearest hundredth, what is the value of n * – n ?\nOptions: a. - 0.0053, b. - 0.0023, c. 0.0007, d. 0.0047, e. 0.0153", "output": [ "b" ] }, { "id": "task1678-c517ace0b83543768c092b93a9784e15", "input": "Problem: carl can wash all the windows of his house in 6 hours. his wife maggie can wash all the windows in 6 hours. how many hours will it take for both of them working together to wash all the windows ?\nOptions: a. 2, b. 2 1 / 4, c. 3, d. 4 1 / 2, e. 5", "output": [ "c" ] }, { "id": "task1678-452fd6541cb44738adbccbb76219601a", "input": "Problem: car x began traveling at an average speed of 35 miles per hour. after 72 minutes, car y began traveling at an average speed of 49 miles per hour. when both cars had traveled the same distance, both cars stopped. how many miles did car x travel from the time car y began traveling until both cars stopped ?\nOptions: a. 105, b. 120, c. 140, d. 147, e. 168", "output": [ "a" ] }, { "id": "task1678-f9e7da2a2dde40ed9ca5804697add245", "input": "Problem: in a restaurant, the profit is 160 % of the cost. if the cost increases by 12 % but the selling price remains constant, approximately what percentage of the selling price is the profit ?\nOptions: a. 30 %, b. 57 %, c. 90 %, d. 100 %, e. none of these", "output": [ "b" ] }, { "id": "task1678-a03a1db01e0747128cc7606fc2b120c3", "input": "Problem: a train 250 m long is running at a speed of 45 km / hr. in what time will it pass a bridge 150 m long ?\nOptions: a. 45 sec, b. 42 sec, c. 32 sec, d. 48 sec, e. 25 sec", "output": [ "c" ] }, { "id": "task1678-56d94f722e2944e489b45a25672f7772", "input": "Problem: a can complete the job in 5 hours and b can complete the same job in 3 hours. a works for 1 hour and then b joins and both complete the job. what fraction of the job did b complete\nOptions: a. 1 / 8, b. 3 / 10, c. 1 / 2, d. 5 / 6, e. 8 / 9", "output": [ "a" ] }, { "id": "task1678-9f132a338667416cb88c28e149ecaab9", "input": "Problem: in a certain deck of cards, each card has a positive integer written on it, in a multiplication game a child draws a card and multiplies the integer on the card with the next large integer. if the each possible product is between 35 and 200, then the least and greatest integer on the card would be\nOptions: a. 3 and 15, b. 3 and 20, c. 4 and 13, d. 4 and 14, e. 5 and 14", "output": [ "e" ] }, { "id": "task1678-2345e19108a842eca43cc941a635ef1c", "input": "Problem: 25 * 25 * 25 * 25 * 25 = 5 ^ ?\nOptions: a. 4, b. 6, c. 5, d. 3, e. 10", "output": [ "e" ] }, { "id": "task1678-8caf2d8902eb47de9b25e8afbdd38f69", "input": "Problem: what quantity of water should taken out to concentrate 21 liters of 40 % acidic liquid to 60 % acidic liquid ?\nOptions: a. 5 liters, b. 10 liters, c. 7 liters, d. 8 liters, e. 6 liters", "output": [ "c" ] }, { "id": "task1678-a02365e6aee8418ea2a9286f1dae86e7", "input": "Problem: a and b together can do a work in 6 days. if a alone can do it in 10 days. in how many days can b alone do it ?\nOptions: a. 10, b. 15, c. 77, d. 55, e. 21", "output": [ "b" ] }, { "id": "task1678-48197345738b48958838daa8d9503876", "input": "Problem: sam and nik start from a and b respectively at the same time and travel towards each other at constant speeds along the same route. sam meets nik at point c on the road which is 600 m away from starting point a and 400 m away from point b. the speed of sam is 50 m / m ( meter / minute.. how much time did sam take to cover the distance between a and b ?\nOptions: a. 10 minutes, b. 15 minutes, c. 20 minutes, d. 22 minutes, e. 17 minutes", "output": [ "c" ] }, { "id": "task1678-c8976af4cd894e7b84ad73404642189b", "input": "Problem: subtract. simplify your answer and write it as a proper fraction or as a whole or mixed number. 4 / 5 - 1 / 5 =\nOptions: a. 1 / 5, b. 2 / 5, c. 3 / 5, d. 4 / 5, e. 5 / 5", "output": [ "c" ] }, { "id": "task1678-b18bebf590e84a598ba46feee9608183", "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": "task1678-d31e06971ca948178ed2a09673ae3d8a", "input": "Problem: q and r are two - digit positive integers that have the same digits but in reverse order. if the positive difference between q and r is less than 30, what is the greatest possible value of q minus r ?\nOptions: a. 23, b. 24, c. 25, d. 26, e. 27", "output": [ "e" ] }, { "id": "task1678-c4fb1a48559b424c9ea5e787da96bbc7", "input": "Problem: what is the square root of 121 ?\nOptions: a. 11, b. 12, c. 16, d. 18, e. 25", "output": [ "a" ] }, { "id": "task1678-949484f82b93451db54777e05d7a71d0", "input": "Problem: if equation | x / 5 | + | y / 5 | = 2 encloses a certain region on the coordinate plane, what is the area of this region ?\nOptions: a. 20, b. 50, c. 200, d. 100, e. 400", "output": [ "c" ] }, { "id": "task1678-360847ff00d340719398fc5bdfb1c9f1", "input": "Problem: in a vehicle ' s repair shed, 3 men and 8 boys can do a piece of work in 15 days; 4 men and 9 boys can do the same work in 12 days. then, 5 men and 5 boys can do double the amount of this work in :\nOptions: a. 20 days, b. 33 days, c. 24 days, d. 28 days, e. none of these", "output": [ "c" ] }, { "id": "task1678-3b408cddcc9b4764bd1952f3d60b53a5", "input": "Problem: each week, harry is paid x dollars per hour for the first 30 hours and 1.5 x dollars for each additional hour worked that week. each week, james is paid x dollars per hour for the first 40 hours and 2 x dollars for each additional hour worked that week. last week james worked a total of 50 hours. if harry and james were paid the same amount last week, how many hours did harry work last week ?\nOptions: a. 35, b. 36, c. 37, d. 38, e. 50", "output": [ "e" ] }, { "id": "task1678-07219d83e91045208b8490b61cb2c7ce", "input": "Problem: increasing the original price of an article by 8 percent and then increasing the new price by 8 percent is equivalent to increasing the original price by\nOptions: a. 16.16 %, b. 16.32 %, c. 16.64 %, d. 17.26 %, e. 18.56 %", "output": [ "c" ] }, { "id": "task1678-977f9bb066e94d6b9a65030af054b128", "input": "Problem: if 6 women can color 180 m long cloth in 3 days, then 5 women can color 200 m long cloth in ?\nOptions: a. 6 days, b. 5 days, c. 4 days, d. 2 days, e. 3 days", "output": [ "c" ] }, { "id": "task1678-f9371bd546c741a6903881b541d66fdc", "input": "Problem: sarah operated her lemonade stand monday through friday over a two week period and made a total profit of 210 dollars. on hot days she sold cups of lemonade for a price that was 25 percent higher than the regular days. each cup she sold had a total cost of 75 cents and sarah did not incur any other costs. if every day she sold exactly 32 cups and 3 of the days were hot, then what was the price of 1 cup on a hot day ?\nOptions: a. $ 1.50, b. $ 1.64, c. $ 2.25, d. $ 2.50, e. $ 3.25", "output": [ "b" ] }, { "id": "task1678-76aad4e680fe43308a3a2ebc373df499", "input": "Problem: if x ⁄ 2 + 9 ⁄ 4 = 5 ⁄ 4, what is the value of x ?\nOptions: a. – 2, b. – 1, c. 0, d. 1, e. 2", "output": [ "a" ] }, { "id": "task1678-d76943a42f534aacb75665e2f35e7665", "input": "Problem: how many zeros does 65 ! end with ?\nOptions: a. 20, b. 15, c. 25, d. 30, e. 32", "output": [ "b" ] }, { "id": "task1678-9e437c3a444748a7b3ae38d9c4483870", "input": "Problem: the price of a certain painting increased by 30 % during the first year and decreased by 15 % during the second year. the price of the painting at the end of the 2 - year period was what percent of the original price ?\nOptions: a. 102 %, b. 105 %, c. 110.5 %, d. 112.5 %, e. 100 %", "output": [ "c" ] }, { "id": "task1678-770b0e51d3dd432884f196cf99a3dffe", "input": "Problem: a student was asked to find 4 / 5 of a number. but the student divided the number by 4 / 5, thus the student got 27 more than the correct answer. find the number.\nOptions: a. 40, b. 50, c. 60, d. 70, e. 80", "output": [ "c" ] }, { "id": "task1678-8086057c50364c139615120990771e39", "input": "Problem: in a forest 150 deer were caught, tagged with electronic markers, then released. a week later, 50 deer were captured in the same forest. of these 50 deer, it was found that 20 had been tagged with the electronic markers. if the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest, and if no deer had either left or entered the forest over the preceding week, what is the approximate number of deer in the forest ?\nOptions: a. 150, b. 6,000, c. 1,250, d. 1,500, e. 2,500", "output": [ "b" ] }, { "id": "task1678-5cf9c7a74a3c488c80bbc07bd35e57d8", "input": "Problem: the water level in a reservoir has been dropping at the rate of 14 inches per day. exactly 5 days ago, the water level was at w inches. what will be the water level exactly 3 days from now if the rate at which the level is dropping remains the same ?\nOptions: a. w − 126, b. w − 56, c. w − 112, d. w + 14, e. w + 126", "output": [ "c" ] }, { "id": "task1678-a90a1a0a16b64456b69e569e8a73ccb4", "input": "Problem: what is 15 % of 2 / 3 of 0.6 ?\nOptions: a. 0.06, b. 0.9, c. 9, d. 90, e. none of the above", "output": [ "a" ] }, { "id": "task1678-ece41ea345d64f869ddeca3c9dbb2dd0", "input": "Problem: in a certain animal population, for each of the first 3 months of life, the probability that an animal will die during that month is 1 / 10. for a group of 150 newborn members of the population, approximately how many would be expected to survive the first 3 months of life ?\nOptions: a. 110, b. 146, c. 152, d. 162, e. 170", "output": [ "a" ] }, { "id": "task1678-1d1a6a6b5a1b4f638c998c757f8ba435", "input": "Problem: the units digit of ( 35 ) ^ ( 7 ) + ( 93 ) ^ ( 45 ) is :\nOptions: a. 2, b. 4, c. 6, d. 8, e. 0", "output": [ "d" ] }, { "id": "task1678-323b61a42a8c4b8189c6a9a5b8b66159", "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": "task1678-cb8f5a9b38b44a20b96e40ee9240dfdf", "input": "Problem: how many 4 - digit numbers are completely divisible by 7 ?\nOptions: a. 1354, b. 1286, c. 1178, d. 1224, e. none", "output": [ "b" ] }, { "id": "task1678-bfab8cafc4804cb590653faee2aad80c", "input": "Problem: what is the units digit of ( 3 ^ 16 ) ( 4 ^ 13 ) ?\nOptions: a. 2, b. 4, c. 6, d. 7, e. 8", "output": [ "b" ] }, { "id": "task1678-6820110aaae042bd8968556ccd5a6d5b", "input": "Problem: a can do a piece of work in 10 days, b in 15 days. they work for 5 days. the rest of work finished by c in 2 days. if they get rs 1500 for the whole work, the daily wages of b and c are ?\nOptions: a. 225, b. 276, c. 126, d. 187, e. 1267", "output": [ "a" ] }, { "id": "task1678-3b77f94d92a34225b8404063e4f1714c", "input": "Problem: crazy eddie has a key chain factory. eddie managed to decrease the cost of manufacturing his key chains while keeping the same selling price, and thus increased the profit from the sale of each key chain from 20 % of the selling price to 50 % of the selling price. if the manufacturing cost is now $ 50, what was it before the decrease ?\nOptions: a. $ 20, b. $ 40, c. $ 50, d. $ 80, e. $ 100", "output": [ "d" ] }, { "id": "task1678-29867824ba724e969ffebafdd8328144", "input": "Problem: if it is assumed that 60 percent of those who receive a questionnaire by mail will respond and 900 responses are needed, what is the minimum number of questionnaires that should be mailed ?\nOptions: a. 1300, b. 1350, c. 1400, d. 1450, e. 1500", "output": [ "e" ] }, { "id": "task1678-5a4abd3c4e554d7589ac54132e9e5f58", "input": "Problem: salad dressing p is made up of 30 % vinegar and 70 % oil, and salad dressing q contains 10 % vinegar and 90 % oil. if the two dressings are combined to produce a salad dressing that is 18 % vinegar, dressing p comprises what percentage of the new dressing ?\nOptions: a. 20 %, b. 30 %, c. 40 %, d. 50 %, e. 60 %", "output": [ "c" ] }, { "id": "task1678-97df617ee0524582828ac623ac2b4020", "input": "Problem: find the value o f 72519 x 9999 = m ?\nOptions: a. 434539873, b. 355797990, c. 435453490, d. m = 725117481, e. 873430134", "output": [ "d" ] }, { "id": "task1678-2f974706cf0a4409afd6e9b60f5b8bd1", "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": "task1678-556fe0c7e5174b839d9aa3630f6ee2cd", "input": "Problem: a motorcyclist goes from bombay to pune, a distance of 256 kms at an average of 32 kmph speed. another man starts from bombay by car 2 ½ hours after the first, and reaches pune ½ hour earlier. what is the ratio of the speed of the motorcycle and the car ?\nOptions: a. 1: 2, b. 1: 5, c. 1: 4, d. 1: 1, e. 5: 8", "output": [ "e" ] }, { "id": "task1678-d6d5120ab73640ca8aded9054fa560b9", "input": "Problem: the annual birth and death rate in a country per 1000 are 39.4 and 19.4 respectively. the number of years x in which the population would be doubled assuming there is no emigration or immigration is\nOptions: a. 20, b. x = 25, c. x = 30, d. x = 35, e. 40", "output": [ "d" ] }, { "id": "task1678-e591623608904c768df508414d7d9756", "input": "Problem: when the positive integer y is divided by 9, the remainder is 5. what is the remainder when 3 y is divided by 9 ?\nOptions: a. 0, b. 1, c. 3, d. 4, e. 6", "output": [ "e" ] }, { "id": "task1678-6b8e9901698740fba1c1f29bbe64bfd2", "input": "Problem: let s be the set of all positive integers that, when divided by 8, have a remainder of 5. what is the 70 th number in this set ?\nOptions: a. 557, b. 608, c. 613, d. 616, e. 621", "output": [ "a" ] }, { "id": "task1678-01283faa06de4a31b1047e7b75ce0078", "input": "Problem: find the minimum value of 5 cosa + 12 sina + 12\nOptions: a. - 1, b. 1, c. 2, d. 3, e. none of these", "output": [ "a" ] }, { "id": "task1678-82fe242a8a9143048bdb6a959d3ccfd4", "input": "Problem: julie put half of her savings in a savings account that pays an annual simple interest and half in a savings account that pays an annual compound interest. after two years she earned $ 120 and $ 122 from the simple interest account and the compound interest account respectively. if the interest rates for both accounts were the same, what was the amount of julie ' s initial savings ?\nOptions: a. 600, b. 720, c. 1080, d. 2200, e. 3600", "output": [ "e" ] }, { "id": "task1678-b04d4eef363c40b4a6d24b7204a3c1e5", "input": "Problem: when positive integer n is divided by 7, the remainder is 1. when n is divided by 11, the remainder is 5. what is the smallest positive integer k such that k + n is a multiple of 77 ?\nOptions: a. 2, b. 4, c. 6, d. 8, e. 10", "output": [ "c" ] }, { "id": "task1678-a2894769eecc4f35b8decba9eefcb028", "input": "Problem: a brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 29 m * 2 m * 0.75 m ?\nOptions: a. 29000, b. 27908, c. 78902, d. 25000, e. 27991", "output": [ "a" ] }, { "id": "task1678-5fb4a9cbe7e34d4d98b4fe273f614413", "input": "Problem: on a map, 1 inch represents 28 miles. how many b inches would be necessary to represent a distance of 383.6 miles ?\nOptions: a. 5.2, b. 7.4, c. 13.7, d. 21.2, e. 28.7", "output": [ "c" ] }, { "id": "task1678-a7d8b204eb794ae9a90ba3d0cadce28b", "input": "Problem: a worker is paid a regular rate of rs. 30 for completing a survey. the worker completes 100 surveys per week. for any survey involving the use of her cellphone, she is paid at a rate of that is 20 % higher than her regular rate. if she completed 50 surveys involving the use of her cellphone, how much did she get that week ?\nOptions: a. 2200, b. 1100, c. 2500, d. 2800, e. 3300", "output": [ "e" ] }, { "id": "task1678-8124c9e0b6cd4c5b990e00cb83fac21d", "input": "Problem: a man goes from a to b at a speed of 20 kmph and comes back to a at a speed of 30 kmph. find his average speed for the entire journey ?\nOptions: a. 11, b. 24, c. 55, d. 66, e. 71", "output": [ "b" ] }, { "id": "task1678-16c19b61331542e5a3ccbc561f42260e", "input": "Problem: find the maximum value of the function f ( x ) = x − 5 if x is a number between - 5 and 13.\nOptions: a. 6, b. 7, c. 8, d. 9, e. none", "output": [ "c" ] }, { "id": "task1678-1dbdd2e1f8bd4ba5a86e4d3437480169", "input": "Problem: a shopkeeper sold 30 articles at the cost price of 35 articles. then find the profit % or lost %\nOptions: a. 12 %, b. 15 %, c. 16.67 %, d. 18 %, e. 22 %", "output": [ "c" ] }, { "id": "task1678-7e65c0960181408cb780fab871fbe89c", "input": "Problem: a cycle is bought for rs. 900 and sold for rs. 1140, find the gain percent ?\nOptions: a. 11, b. 27, c. 99, d. 77, e. 18", "output": [ "b" ] }, { "id": "task1678-c2ab57c0c4214443abb202caaf04d8a7", "input": "Problem: the average of 5 quantities is 12. the average of 3 of them is 4. what is the average of remaining 2 numbers ?\nOptions: a. 24, b. 10, c. 8, d. 9.5, e. none of these", "output": [ "a" ] }, { "id": "task1678-e99289386298463faa3a248bb47ff453", "input": "Problem: a trained covered x km at 30 kmph and another 2 x km at 20 kmph. find the average speed of the train in covering the entire 3 x km.\nOptions: a. 22.5, b. 99, c. 24, d. 66, e. 887", "output": [ "a" ] }, { "id": "task1678-1ecef9a658a8450bb7421996809f50d9", "input": "Problem: the value of a machine depreciates at 20 % per annum. if its present value is rs. 1, 50,000, at what price should it be sold after two years such that a profit of rs. 28,000 is made ?\nOptions: a. 328897, b. 120000, c. 877888, d. 124000, e. 188871", "output": [ "d" ] }, { "id": "task1678-ec299bbcf7af4ae18300de40c09338f4", "input": "Problem: if | 20 x - 10 | = 130, then find the product of the values of x ?\nOptions: a. - 45, b. 50, c. - 42, d. 35, e. - 30", "output": [ "c" ] }, { "id": "task1678-97252015641946d4accbde58855c2c61", "input": "Problem: gopi gives rs. 90 plus one turban as salary to his servant for one year. the servant leaves after 9 months and receives rs. 60 and the turban. find the price of the turban.\nOptions: a. 27, b. 30, c. 29, d. 10, e. 11", "output": [ "b" ] }, { "id": "task1678-d3b29864de764f5c80ef3602895cba34", "input": "Problem: find the principle on a certain sum of money at 5 % per annum for 3 1 / 5 years if the amount being rs. 1450 ?\nOptions: a. rs. 1000, b. rs. 1250, c. rs. 1010, d. rs. 10000, e. none of these", "output": [ "b" ] }, { "id": "task1678-be70018ae3fb48c8b7f70f1d439de824", "input": "Problem: how many seconds will a 600 metre long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 63 km / hr ?\nOptions: a. 25, b. 36, c. 40, d. 45, e. 50", "output": [ "b" ] }, { "id": "task1678-1451625d519a4f4db866e865872ce315", "input": "Problem: a ship 450 m long is running at a speed of 24 km / hr. in what time will it pass a bridge 900 m long ?\nOptions: a. 202.5 sec, b. 205.5 sec, c. 200 sec, d. 1350 sec, e. 900 sec", "output": [ "a" ] }, { "id": "task1678-16f130a3acf140d3a72bf1a238bfc04c", "input": "Problem: at company x, senior sales representatives visit the home office once every 12 days, and junior sales representatives visit the home office once every 8 days. the number of visits that a junior sales representative makes in a 2 - year period is approximately what percent greater than the number of visits that a senior representative makes in the same period ?\nOptions: a. 10 %, b. 25 %, c. 33 %, d. 50 %, e. 67 %", "output": [ "d" ] }, { "id": "task1678-e2dace85edbb4c0db317b4d2cbe091e3", "input": "Problem: find the probability that a number selected from numbers 1, 2, 3,..., 40 is a prime number, when each of the given numbers is equally likely to be selected ?\nOptions: a. 10 / 40, b. 12 / 40, c. 8 / 40, d. 3 / 40, e. 7 / 40", "output": [ "b" ] }, { "id": "task1678-e5186c053f124820955786522cbc848c", "input": "Problem: john can complete a given task in 10 days. jane will take only 20 days to complete the same task. john and jane set out to complete the task by beginning to work together. however, jane was indisposed 4 days before the work got over. in how many days did the work get over from the time john and jane started to work on it together ?\nOptions: a. 8, b. 9, c. 8.5, d. 9.5, e. 10.5", "output": [ "c" ] }, { "id": "task1678-b7d730eee25947c6a29acaf1d0fd1557", "input": "Problem: find the sum the difference between the compound and s. i. on a certain sum of money for 5 years at 20 % per annum is rs. 75 of money ?\nOptions: a. 1489, b. 6845, c. 2598, d. 1875, e. 2600", "output": [ "d" ] }, { "id": "task1678-b7a34f75e94b471bbef0ff148dfe8a1a", "input": "Problem: p has $ 32 more than what q and r together would have had if both b and c had 1 / 6 of what p has. how much does p have ?\nOptions: a. $ 44, b. $ 48, c. $ 52, d. $ 56, e. $ 60", "output": [ "b" ] }, { "id": "task1678-ae7cb76981804e3d9fc83253f136ec01", "input": "Problem: a salt manufacturing company produced a total of 2000 tonnes of salt in january of a particular year. starting from february its production increased by 100 tonnes every month over the previous months until the end of the year. find its ave 66 rage daily production for that year ?\nOptions: a. 80, b. 85, c. 83, d. 95, e. 00", "output": [ "c" ] }, { "id": "task1678-b3a15df957074f75a5a4a99c0d269234", "input": "Problem: how many terminating zeroes e does 200 ! have ?\nOptions: a. 40, b. 48, c. 49, d. 55, e. 64", "output": [ "c" ] }, { "id": "task1678-cbf91abd7a7041718264dbb1f652579b", "input": "Problem: the average age of a group of n people is 14 years old. one more person aged 32 joins the group and the new average is 16 years old. what is the value of n ?\nOptions: a. 5, b. 6, c. 7, d. 8, e. 9", "output": [ "d" ] }, { "id": "task1678-24679dc434af467e9300a03645277d8b", "input": "Problem: a 75 - liter solution of cool - drink is made from 8 % jasmine water. if 3 liters of jasmine and 12 liters of water were added to the solution, what percent of the solution is jasmine ?\nOptions: a. 10.3 %, b. 11.5 %., c. 10 %., d. 12.2 %, e. 12 %.", "output": [ "c" ] }, { "id": "task1678-77ec242881864c00a9c92488e3340b14", "input": "Problem: the difference between the compound interest compounded annually and simple interest for 2 years at 20 % per annum is rs. 216. find the principal ?\nOptions: a. 2277, b. 2667, c. 5400, d. 2766, e. 1811", "output": [ "c" ] }, { "id": "task1678-a8cee23c483d4a8e8ff45de54a5af2cf", "input": "Problem: a train running at the speed of 60 km / hr crosses a pole in 15 sec. what is the length of the train ?\nOptions: a. 287, b. 699, c. 250, d. 168, e. 150", "output": [ "c" ] }, { "id": "task1678-128445a98f4247e9acd95b72ae78d4f4", "input": "Problem: rewrite ( 10 ^ 38 ) – 85 as a base 10 integer, what is the sum of the digits in that integer ?\nOptions: a. 354, b. 357, c. 330, d. 370, e. 360", "output": [ "c" ] }, { "id": "task1678-d3821e2405f84adaae95d1249fbf6700", "input": "Problem: he average of 10 numbers is 23. if each number is increased by 4, what will the new average be ?\nOptions: a. 26, b. 27, c. 88, d. 99, e. 12", "output": [ "b" ] }, { "id": "task1678-22b251b34e6c440cbeda741dbb647327", "input": "Problem: a man buy a book in rs 50 & sale it rs 70. what is the rate of profit ? ? ?\nOptions: a. 10 %, b. 40 %, c. 30 %, d. 25 %, e. 28 %", "output": [ "b" ] }, { "id": "task1678-c24751e05f614eda8bfabcd2fe614531", "input": "Problem: a tank is filled by 3 pipes a, b, c in 6 hours. pipe c is twice as fast as b and b is twice as fast as a. how much will pipe a alone take to fill the tank ?\nOptions: a. 25 hr, b. 42 hr, c. 40 hr, d. 20 hr, e. 50 hr", "output": [ "b" ] }, { "id": "task1678-40b0f9766e444777b0fc30c8982ac848", "input": "Problem: first column specifies the no of days prior to departure information. second column specifies the percentage discount offered. 0 - 6 days = = > 0 % 7 - 13 days = = > 10 % 14 - 29 days = = > 25 % 30 days or more = = > 40 % the table above shows the discount structure for advanced purchase of tickets at a particular airline. a passenger bought a ticket at this airline for $ 1050. the ticket agent informed her that, had she purchased the ticket one day later, she would have paid $ 210 more. how many days before her departure did she purchase her ticket.\nOptions: a. 6, b. 7, c. 13, d. 14, e. 29", "output": [ "d" ] }, { "id": "task1678-5f7093aa331f4cbba4c06a0a2c66d30e", "input": "Problem: a no. when divided by 158 gives a remainder 50, what remainder will be obtainedby dividingthe same no. 16 ?\nOptions: a. 10, b. 11, c. 12, d. 13, e. 14", "output": [ "d" ] }, { "id": "task1678-081a24f3c9d547b9b0eb0d83feec6929", "input": "Problem: a man can row a distance of 6 km in 60 min with the help of the tide. the direction of the tide reverses with the same speed. now he travels a further 20 km in 10 hours. how much time he would have saved if the direction of tide has not changed ?\nOptions: a. 2, b. 8, c. 1, d. 6: 41, e. 5", "output": [ "d" ] }, { "id": "task1678-3e1b15b465cb496a83d81bbdbf6a213f", "input": "Problem: 1395 x 1395\nOptions: a. 1946025, b. 1981709, c. 18362619, d. 2031719, e. none of these", "output": [ "a" ] }, { "id": "task1678-4ace1109c74841c488d0f4c5a213f614", "input": "Problem: the sum of the first n positive perfect squares, where n is a positive integer, is given by the formula n ^ 3 / 3 + c * n ^ 2 + n / 6, where c is a constant. what is the sum of the first 20 positive perfect squares ?\nOptions: a. 1,010, b. 1,164, c. 1,240, d. 2,316, e. 2,870", "output": [ "e" ] }, { "id": "task1678-6e4f7250e50e4a57ba88aa6f3661f5e3", "input": "Problem: a mixture of 70 litres of milk and water contains 10 % water. how many litres of water should be added to the mixture so that the mixture contains 12 1 / 2 % water ?\nOptions: a. 2, b. 8, c. 6, d. 3, e. 4", "output": [ "a" ] }, { "id": "task1678-644f8d23372e4968ba041dfc74c3f253", "input": "Problem: if a = 2, what is the value of – ( a ^ 2 + a ^ 3 + a ^ 4 + a ^ 5 ) ?\nOptions: a. - 14, b. - 60, c. 0, d. 4, e. 14", "output": [ "b" ] }, { "id": "task1678-a7fa6ddad77b4eb4927b40a6cdb38608", "input": "Problem: how many even number in the range between 20 to 100 inclusive are not divisible by 3\nOptions: a. 28, b. 30, c. 31, d. 33, e. 46", "output": [ "a" ] }, { "id": "task1678-18c7be9f428244c7b9be5a21b41a5ba9", "input": "Problem: a clock shows the time as 9 a. m. if the minute hand gains 7 minutes every hour, how many minutes will the clock gain by 6 p. m. ?\nOptions: a. 30 min, b. 35 min, c. 63 min, d. 50 min, e. 55 min", "output": [ "c" ] }, { "id": "task1678-6af18d8a936f4fd7b0570b4ea94a5051", "input": "Problem: how much interest will $ 10,000 earn in 9 months at an annual rate of 4 % ?\nOptions: a. $ 300, b. $ 350, c. $ 450, d. $ 550, e. $ 650", "output": [ "a" ] }, { "id": "task1678-4cd48cd26ba547d18b05e990edf01000", "input": "Problem: if the perimeter of a rectangular garden is 700 m, its length when its breadth is 100 m is ?\nOptions: a. 299 m, b. 777 m, c. 200 m, d. 250 m, e. 128 m", "output": [ "d" ] }, { "id": "task1678-a032b85517b841fab19fb44255e99812", "input": "Problem: you have been given a physical balance and 7 weights of 40, 42, 36, 33, 47, 52 and 67 kgs. keeping weights on one pan and object on the other, what is the maximum you can weigh less than 169 kgs.\nOptions: a. 163, b. 166, c. 162, d. 164, e. 165", "output": [ "e" ] }, { "id": "task1678-a332d12f72da428b907cd2be297db84c", "input": "Problem: the average of first five multiples of 7 is\nOptions: a. 21, b. 6, c. 9, d. 12, e. 15", "output": [ "a" ] }, { "id": "task1678-112b8b9ee504462296923c563019dae3", "input": "Problem: a shopkeeper loses 15 %, if an article is sold for rs. 102. what should be the selling price of the article to gain 20 % ?\nOptions: a. rs. 146, b. rs. 144, c. rs. 129, d. rs. 123, e. rs. 128", "output": [ "b" ] }, { "id": "task1678-e5723c2b7ac24cc790c4a59e96db5c11", "input": "Problem: sum of the squares of 3 no. ' s is 62 and the sum of their products taken two at a time is 131. find the sum ?\nOptions: a. 20, b. 24, c. 26, d. 18, e. 30", "output": [ "d" ] }, { "id": "task1678-7601ea8dfb1941e2942b3f5e983c3e02", "input": "Problem: some persons can do a piece of work in 12 days. two times the number of these people will do half of that work in ?\nOptions: a. 3, b. 4, c. 5, d. 6, e. 8", "output": [ "a" ] }, { "id": "task1678-7ea275befd4d472d9a82285d8cd1ae2d", "input": "Problem: how many multiples of 4 are there between 12 and 92, inclusive ?\nOptions: a. 21, b. 22, c. 23, d. 24, e. 25", "output": [ "a" ] }, { "id": "task1678-62f87cc569e74bca81440d2563bbf6a0", "input": "Problem: a metered rikshaw charges rs 13.50 for the first 1 km and 2.50 per 1 / 3 km there after. what would the charge if this rikshaw is hired for 13 kms ? in approx ? ?\nOptions: a. 103.5 rs, b. 104.5 rs, c. 105.5 rs, d. 106.5 rs, e. 107.5 rs", "output": [ "a" ] }, { "id": "task1678-4995c259c28c479e8a217cca3338e602", "input": "Problem: two pipes a and b separately fill in 15 / 2 min and 5 min respactively and third pipe c can empty of 14 l / m if all the pipes are open when the cistern is full, it is emptied in 1 hr. how many litres does the cistern hold ?\nOptions: a. 40, b. 30, c. 50, d. 80, e. 54", "output": [ "a" ] }, { "id": "task1678-9e3b5c36c8ec421582f9500397845af1", "input": "Problem: if 4 men can colour 48 m long cloth in 2 days, then 6 women can colour 36 m long cloth in ?\nOptions: a. day, b. day, c. days, d. days, e. days", "output": [ "b" ] }, { "id": "task1678-7e3eccc26d6848879ab2826be6256d0f", "input": "Problem: from a pack of cards, two cards are drawn one after the other, with replacement. what is the probability that the first card is a black card and the second card is a king ?\nOptions: a. 1 / 26, b. 1 / 13, c. 3 / 52, d. 3 / 26, e. 15 / 26", "output": [ "a" ] }, { "id": "task1678-65cd661283d341e2a4f920a6cee6cc8f", "input": "Problem: a fruit seller sells mangoes at the rate of rs. 12 per kg and thereby loses 10 %. at what price per kg, he should have sold them to make a profit of 15 % ?\nOptions: a. rs. 11.81, b. rs. 12, c. rs. 15.33, d. rs. 12.31, e. none", "output": [ "c" ] }, { "id": "task1678-64251483c2604168a0f5553c969fead1", "input": "Problem: working alone, printers x, y, and z can do a certain printing job, consisting of a large number of pages, in 12, 20, and 20 hours, respectively. what is the ratio of the time it takes printer x to do the job, working alone at its rate, to the time it takes printers y and z to do the job, working together at their individual rates ?\nOptions: a. 4 / 11, b. 1 / 2, c. 15 / 22, d. 10 / 1, e. 11 / 4", "output": [ "d" ] }, { "id": "task1678-a58de7e4abf747db9dddb5572fbe154b", "input": "Problem: two numbers have a h. c. f of 20 and a product of two numbers is 2560. find the l. c. m of the two numbers ?\nOptions: a. 140, b. 150, c. 160, d. 128, e. 180", "output": [ "d" ] }, { "id": "task1678-d44e4535a7534b05a707a0f62a9651f0", "input": "Problem: a cylindrical bucket of height 36 cm and radius 21 cm is filled with sand. the bucket is emptied on the ground and a conical heap of sand is formed, the height of the heap being 12 cm. the radius of the heap at the base is :\nOptions: ['a. 63 cm', 'b. 53 cm', 'c. 56 cm', 'd. 66 cm', 'e. none of these']", "output": [ "a" ] }, { "id": "task1678-662e3e0610f24c7a992d62ff26fd95d7", "input": "Problem: a man opens a shop. he buys water bottles for 50 cents each, fruit for 25 cents each, and snacks for a dollar each. he wants to start a bundle of selling a bottle a water, 3 snacks and 2 fruits for d dollars. every 5 th bundle sold will be sold for 2 dollars and a complimentary snack at the owner ' s expense. what should he charge at least to not lose any money ?\nOptions: a. 4.6, b. 3.0, c. 4.1, d. 3.2, e. 2.9", "output": [ "a" ] }, { "id": "task1678-20d47582619e4d92ad7c2111e308a7ad", "input": "Problem: there is 60 % increase in an amount in 6 years at simple interest. what will be the compound interest of $ 12,000 after 3 years at the same rate ?\nOptions: a. $ 2160, b. # 3120, c. $ 3972, d. $ 6240, e. none of these", "output": [ "c" ] }, { "id": "task1678-6a4b591ebeef40ffb12a58410ca48aff", "input": "Problem: a person is traveling at 75 km / hr and reached his destiny in 4 hr then find the distance ?\nOptions: a. 300 km, b. 200 km, c. 250 km, d. 400 km, e. 220 km", "output": [ "a" ] }, { "id": "task1678-d3be4005f8474b01ab4c89dd260cf0d9", "input": "Problem: a can do a piece of work in 80 days. he works at it for 10 days & then b alone finishes the remaining work in 42 days. in how much time will a and b, working together, finish the work ?\nOptions: a. 30 days, b. 20 days, c. 25 days, d. 35 days, e. 45 days", "output": [ "a" ] }, { "id": "task1678-52986ffa539c4087a1c9389548dc3679", "input": "Problem: a box contains 11 apples, 10 of which are red. an apple is drawn from the box and its color is noted before it is eaten. this is done a total of n times, and the probability that a red apple is drawn each time is less than 0.5. what is the smallest possible value of n ?\nOptions: a. 3, b. 4, c. 5, d. 6, e. 7", "output": [ "d" ] }, { "id": "task1678-6485044316d04b5db3e2000cfd3b7da3", "input": "Problem: bob wants to run a mile in the same time as his sister. if bob ’ s time for a mile is currently 11 minutes 20 seconds and his sister ’ s time is currently 9 minutes 36 seconds, by what percent does bob need to improve his time in order run a mile in the same time as his sister ?\nOptions: a. 3 %, b. 5 %, c. 8 %, d. 10 %, e. 15 %", "output": [ "e" ] }, { "id": "task1678-edb105e7e5fd48b5aef68faed2c2c91d", "input": "Problem: if the price of a certain computer increased 30 percent from x dollars to 351 dollars, then 2 x =\nOptions: a. 540, b. 570, c. 619, d. 649, e. 700", "output": [ "a" ] }, { "id": "task1678-ec8ac8e49d074478ad94ae4ee4220891", "input": "Problem: in the mundane goblet competition, 6 teams compete in a “ round robin ” format: that is, each team plays every other team exactly once. a team gets 3 points for a win, 1 point for a tie ( a draw ), and 0 points for a loss. what is the difference between the maximum total points and the minimum total points that can be gained by all teams ( added together ) in the mundane goblet competition ?\nOptions: a. 15, b. 30, c. 45, d. 60, e. 75", "output": [ "a" ] }, { "id": "task1678-7a707c4a16e6436590522c7e434c1726", "input": "Problem: how many integers between 324,805 and 458,705 have tens digit 2 and units digit 3 ?\nOptions: a. 1,352, b. 1,359, c. 1,329, d. 1,349, e. 1,348", "output": [ "d" ] }, { "id": "task1678-2f56eb90871b45948ab129baac813fc7", "input": "Problem: a can do a job in 15 days and b in 20 days. if they work on it together for 4 days, then the fraction of the work that is left is ?\nOptions: a. 2 / 15, b. 8 / 15, c. 3 / 11, d. 1 / 12, e. 6 / 13", "output": [ "b" ] }, { "id": "task1678-b820b68a3a8643d1b6dadfe47b16691a", "input": "Problem: diana is painting statues. she has 3 / 6 of a gallon of paint remaining. each statue requires 1 / 6 gallon of paint. how many statues can she paint ?\nOptions: a. 3, b. 20, c. 28, d. 14, e. 19", "output": [ "a" ] }, { "id": "task1678-4b7fb2b7500741fcaaca09337b7aea19", "input": "Problem: what is the units digit of ( 6 ! * 4 ! + 6 ! * 5 ! ) / 12 ?\nOptions: a. 0, b. 3, c. 2, d. 1, e. 4", "output": [ "a" ] }, { "id": "task1678-2b1117076de74807b04c331a6af352d5", "input": "Problem: jack and christina are standing 240 feet apart on a level surface. their dog, lindy, is standing next to christina. at the same time, they all begin moving toward each other. jack walks in a straight line toward christina at a constant speed of 5 feet per second and christina walks in a straight line toward jack at a constant speed of 3 feet per second. lindy runs at a constant speed of 9 feet per second from christina to jack, back to christina, back to jack, and so forth. what is the total distance, in feet, that lindy has traveled when the three meet at one place ?\nOptions: a. 180, b. 210, c. 240, d. 270, e. 300", "output": [ "d" ] }, { "id": "task1678-78c9c439b40f4a6db60c3a9eced1f2e0", "input": "Problem: a slot machine in a las vegas casino has an average profit of $ 600 for each 8 - hour shift for the 5 days sunday through thursday, inclusive. if the average per - shift profit on friday and saturday is 25 % greater than on the other days of the week and the slot machine is in operation every hour of every day, what is the total weekly profit that the casino makes from the slot machine ?\nOptions: a. a - 4500, b. b - 9000, c. c - 13500, d. d - 15500, e. e - 27000", "output": [ "c" ] }, { "id": "task1678-a9e97d6c89654a53bd2ccd0434df2c94", "input": "Problem: if the price of a certain bond on may 1 st was 3 / 4 the price of the bond on june 1 st and the price of the bond on july 1 st was 25 % greater than the price of the bond on may 1 st. then the price of the bond on june 1 st st was what percent of the average ( arithmetic mean ) price of the bond on may 1 st and july 1 st ?\nOptions: a. 50 %, b. 75 %, c. 118.5 %, d. 133 1 / 3 %, e. 150 %", "output": [ "c" ] }, { "id": "task1678-7b8af3f9ba1e431f88e948a0d80c4211", "input": "Problem: the average weight of 16 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. find the average weights of all the boys in the class.\nOptions: a. 47.55 kg, b. 48 kg, c. 48.55 kg, d. 49.25 kg, e. 59.25 kg", "output": [ "c" ] }, { "id": "task1678-53a3e57ecd164e75810335dd997310b4", "input": "Problem: how much water should be added to 13 liters of a 20 % - solution of alcohol to reduce the concentration of alcohol in the solution by 75 % ?\nOptions: a. 25 liters, b. 27 liters, c. 30 liters, d. 32 liters, e. 35 liters", "output": [ "b" ] }, { "id": "task1678-8a909ad1be9140629cb66aed9c83eea3", "input": "Problem: when positive integer n is divided by 5, the remainder is 1. when n is divided by 7, the remainder is 3. what is the smallest positive integer k such that k + n is a multiple of 40.\nOptions: a. 3, b. 4, c. 7, d. 32, e. 35", "output": [ "c" ] }, { "id": "task1678-16e5a0eeeaf843a0b5316867e98c9ada", "input": "Problem: the average age of students of a class is 15.8 years. the average age of boys in the class is 16.7 years and that of the girls is 15.4 years. the ration of the number of boys to the number of girls in the class is :\nOptions: a. 2: 5, b. 2: 3, c. 2: 4, d. 2: 1, e. 4: 9", "output": [ "e" ] }, { "id": "task1678-cb8e14b575d641b4a3a963513fb71fb3", "input": "Problem: what is the hcf of 2 / 3, 4 / 10 and 6 / 5\nOptions: a. 7 / 45, b. 1 / 15, c. 4 / 15, d. 8 / 45, e. 9 / 45", "output": [ "b" ] }, { "id": "task1678-1597516aeb32420c8d76fc9cab1d3596", "input": "Problem: at veridux corporation, there are 215 employees. of these, 90 are female, and the rest are males. there are a total of 40 managers, and the rest of the employees are associates. if there are a total of 135 male associates, how many female managers are there ?\nOptions: a. 50, b. 20, c. 25, d. 30, e. 35", "output": [ "a" ] }, { "id": "task1678-f93fe539d3c54d97ad9d924f81d1a155", "input": "Problem: a number when divided by a divisor leaves a remainder of 30. when twice the original number is divided by the same divisor, the remainder is 11. what is the value of the divisor ?\nOptions: a. 12, b. 13, c. 35, d. 43, e. 59", "output": [ "d" ] }, { "id": "task1678-7fcea344705244dc977bc6f7c1bd243e", "input": "Problem: a student got twice as many sums wrong as he got right. if he attempted 36 sums in all, how many did he solve correctly ?\nOptions: a. 12, b. 16, c. 18, d. 24, e. 26", "output": [ "a" ] }, { "id": "task1678-d36d316ed33d43c882051e956b662939", "input": "Problem: if 6 is one solution of the equation x ^ 2 + 3 x + k = 10, where k is a constant, what is the other solution ?\nOptions: a. - 7, b. - 4, c. - 3, d. - 9, e. 6", "output": [ "d" ] }, { "id": "task1678-7feb55120e7f43949b5a23703a0c1d56", "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": "task1678-36d4330cd73b4570881e770527701f9d", "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": "task1678-59c674e9b6aa4b5ba78b650a4d96df31", "input": "Problem: in the youth summer village there are 125 people, 50 of them are not working, 25 of them have families and 75 of them like to sing in the shower. what is the largest possible number of people in the village, which are working, that do n ' t have families and that are singing in the shower ?\nOptions: a. 75, b. 80, c. 85, d. 100, e. 90", "output": [ "a" ] }, { "id": "task1678-71784542c4504152b8564bad99a0ec29", "input": "Problem: solution y is 20 percent liquid x and 80 percent water. if 2 kilograms of water evaporate from 8 kilograms of solution y and 2 kilograms of solution y are added to the remaining 6 kilograms of liquid, what percent of this new solution is liquid x ?\nOptions: a. 20 %, b. 21 1 / 2 %, c. 22 %, d. 24 %, e. 25 %", "output": [ "e" ] }, { "id": "task1678-48676403d24d4d3091234d33fde32361", "input": "Problem: 20.036 divided by 0.04 gives :\nOptions: a. 50.09, b. 5.06, c. 50.06, d. 100.9, e. 500.9", "output": [ "e" ] }, { "id": "task1678-a9cd922c4cc141b782cc953d8f46700a", "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": "task1678-184a85f9e9bf4db4b1551ace3b613490", "input": "Problem: a grocer has a sale of rs. 6435, rs. 6927, rs. 6855, rs. 7230 and rs. 6562 for 5 consecutive months. how much sale must he have in the sixth month so that he gets an average sale of rs. 6800 ?\nOptions: a. s. 4991, b. s. 5991, c. s. 6001, d. s. 6791, e. s. 7991", "output": [ "d" ] }, { "id": "task1678-6f6445156dbb47e397a7d7efb4f19384", "input": "Problem: when 17 is divided by positive integer x, the remainder is 1. for how many values of x is this true ?\nOptions: a. 1, b. 2, c. 3, d. 4, e. 5", "output": [ "d" ] }, { "id": "task1678-b217aa08d21045f4b0c23028d5b11f8d", "input": "Problem: sakshi can do a piece of work in 12 days. tanya is 20 % more efficient than sakshi. the number of days taken by tanya to do the same piece of work is ?\nOptions: a. 10, b. 12, c. 14, d. 16, e. 18", "output": [ "a" ] }, { "id": "task1678-426bc11a597e48b29429e4555a87dae3", "input": "Problem: a river 4 m deep and 40 m wide is flowing at the rate of 4 kmph the amount of water that runs into the sea per minute is ?\nOptions: a. 10666, b. 11678, c. 12345, d. 10678, e. 19099", "output": [ "a" ] }, { "id": "task1678-9d5ea6998a694b7689cbce3758c7748a", "input": "Problem: in one hour, a boat goes 11 km along the stream and 5 km against the stream. the speed of the boat in still water is :\nOptions: a. 3, b. 5, c. 8, d. 9, e. 10", "output": [ "c" ] }, { "id": "task1678-4949b0928f724125b43e9ae277bc00fc", "input": "Problem: what least number should be subtracted from 1398 so that the remainder when divided by 7, 9, and 11 will leave in each case the same remainder 5 ?\nOptions: a. 6, b. 7, c. 8, d. 10, e. 11", "output": [ "b" ] }, { "id": "task1678-f00d26ea90ef475e808afb6ee64c6ac3", "input": "Problem: if the sides of a triangle are 32 cm, 27 cm and 12 cm, what is its area ?\nOptions: a. 120 cm 2, b. 112 cm 2, c. 162 cm 2, d. 666 cm 2, e. 886 cm 2", "output": [ "c" ] }, { "id": "task1678-3fd7b33f95724e739f60aed2e167e482", "input": "Problem: 9.99 x 9.9 x 9 ÷ 9.9 ÷ 0.3 = ?\nOptions: a. 276, b. 299, c. 310, d. 3.33, e. 365", "output": [ "d" ] }, { "id": "task1678-eaceb1c403c54c718eff5027044cd0c9", "input": "Problem: a girl was asked to multiply a certain number by 43. she multiplied it by 34 and got his answer less than the correct one by 1233. find the number to be multiplied.\nOptions: a. 130, b. 132, c. 134, d. 137, e. 138", "output": [ "d" ] }, { "id": "task1678-45ee0d3cae6e4cd5bf1dce2b3c35a4fd", "input": "Problem: two letters from the word barkhint are selected at random. what is the probability that at least one of the selected letters is a consonant ?\nOptions: a. 30 / 28, b. 40 / 28, c. 25 / 28, d. 27 / 28, e. 32 / 28", "output": [ "d" ] }, { "id": "task1678-50a6c6ff91f94bffbeefd138c048f873", "input": "Problem: if ( a + b. = 4, ( b + c. = 8 and ( c + d. = 3, what is the value of ( a + d. ?\nOptions: a. 16., b. 8., c. 7., d. 2., e. - 1.", "output": [ "e" ] }, { "id": "task1678-4988050b5099439e8057644e14575ddc", "input": "Problem: ( 69842 x 69842 - 30158 x 30158 ) / ( 69842 - 30158 ) = ?\nOptions: a. 100000, b. 69842, c. 39684, d. 30158, e. none", "output": [ "a" ] }, { "id": "task1678-d77effc2b5c040678883b0702a0ce7d1", "input": "Problem: two trains travel in opposite directions at 36 kmph and 45 kmph and a man sitting in slower train passes the faster train in 6 seconds. the length of the faster train is\nOptions: a. 80 m, b. 100 m, c. 120 m, d. 135 m, e. none", "output": [ "d" ] }, { "id": "task1678-ba88a552c6b541ad9495e761e4983665", "input": "Problem: a train running at the speed of 20 km / hr crosses a post in 10 seconds. what is the length of the train ?\nOptions: a. 150, b. 250, c. 415, d. 200, e. 312", "output": [ "d" ] }, { "id": "task1678-269cf730c35441af830712b58dbbba35", "input": "Problem: 8 percent of the programmers in a startup company weigh 200 pounds or more. 20 - 5 percent of the programmers that are under 200 pounds in that same company weigh 100 pounds or less. what percent of the programmers in the startup company weigh between 100 and 200 pounds ?\nOptions: a. 15 %, b. 20 %, c. 25 %, d. 69 %, e. 75 %", "output": [ "d" ] }, { "id": "task1678-3587ded3a918433d825323914509ca60", "input": "Problem: in 1998 the profits of company n were 10 percent of revenues. in 1999, the revenues of company n fell by 20 percent, but profits were 20 percent of revenues. the profits in 1999 were what percent of the profits in 1998 ?\nOptions: a. 80 %, b. 160 %, c. 120 %, d. 124.2 %, e. 138 %", "output": [ "b" ] }, { "id": "task1678-9add61680d2242faa7e0853ed209260e", "input": "Problem: suppose you work for a manufacturing plant that pays you $ 12.50 an hour plus $ 0.16 for each widget you make. how many widgets must you produce in a 40 hour week to earn $ 750 ( before payroll deductions ) ?\nOptions: a. 1600, b. 1625, c. 1650, d. 1655, e. 1675", "output": [ "b" ] }, { "id": "task1678-ea62b04b53914d9c8a1fb5de80681d3b", "input": "Problem: 2 pipes can separately fill a tank in 20 hrs and 30 hrs respectively. both the pipes are opened to fillthe tank, a leak develops in the tank through which one - third of water supplied by both the pipes goes out. what is the total time taken to fill the tank ?\nOptions: a. 10 hrs, b. 12 hrs, c. 16 hrs, d. 18 hrs, e. 20 hrs", "output": [ "c" ] }, { "id": "task1678-fcfb7afbbcf1401cab991bade020a632", "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": "task1678-ebd742c8cd4645458b2404e965739115", "input": "Problem: an assembly line produces 15 cogs per hour until an initial order of 60 cogs is completed. the speed of the assembly line is then immediately increased so that it can produce 60 cogs per hour until another 60 cogs are produced. what is the overall average output, in cogs per hour, for the assembly line during this whole time ?\nOptions: a. 20, b. 22, c. 24, d. 26, e. 28", "output": [ "c" ] }, { "id": "task1678-b16f1a6e9d504c4f9437107f5c49120d", "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": "task1678-1a1c56757fdd4b229cdccdec0c6ca519", "input": "Problem: the size of a television screen is given as the length of the screen ' s diagonal. if the screens were flat, then the area of a square 19 - inch screen would be how many square inches greater than the area of a square 17 - inch screen ?\nOptions: a. 36, b. 4, c. 16, d. 38, e. 40", "output": [ "a" ] }, { "id": "task1678-d5da1816f8264c3fbe7de0ae30d0f6c2", "input": "Problem: increasing the original price of a certain item by 20 percent and then increasing the new price by 20 percent is equivalent to increasing the original price by what percent ?\nOptions: a. 31.25, b. 37.5, c. 50.0, d. 52.5, e. 44.0", "output": [ "e" ] }, { "id": "task1678-fb2194e16c0b44dab1b85251fd376101", "input": "Problem: the volume of a certain substance is always directly proportional to its weight. if 48 cubic inches of the substance weigh 112 ounces, what is the volume, in cubic inches, of 63 ounces of this substance ?\nOptions: a. 27, b. 36, c. 42, d. 64, e. 147", "output": [ "a" ] }, { "id": "task1678-a1a1dc5b5e3348dbaf1961b53bffddff", "input": "Problem: if the difference between the length and breadth of a rectangle is 23 m and its perimeter is 266 m, what is its area ?\nOptions: a. 4290, b. 2535, c. 2530, d. 2515, e. 2520", "output": [ "a" ] }, { "id": "task1678-6c9db448ea9f40aba6096434a14dadb9", "input": "Problem: the chance of rain on any given day in tel - aviv is 50 %. what is the probability z that it rained in tel - aviv on exactly 4 out of 6 randomly chosen days ?\nOptions: a. 15 / 64, b. 30 / 64, c. 1 / 2, d. 1 / 4, e. 52 / 64", "output": [ "a" ] }, { "id": "task1678-e8ea0ef67b3a41669127ecacfbad6025", "input": "Problem: if a ^ 2 is divisible by 240 what is the least possible value of integer a ?\nOptions: a. 120, b. 30, c. 90, d. 60, e. 12", "output": [ "d" ] }, { "id": "task1678-231693407e984024aea81768fc33421c", "input": "Problem: little john had $ 7.10. he spent $ 1.05 on sweets and gave to his two friends $ 1.00 each. how much money was left ?\nOptions: a. $ 4.85, b. $ 4.15, c. $ 4.65, d. $ 4.55, e. $ 4.05", "output": [ "e" ] }, { "id": "task1678-7d3f4fdadc994e75bc8f697eb72f951e", "input": "Problem: in a class of 32 students, 2 students did not borrow any books from the library, 12 students each borrowed 1 book, 10 students each borrowed 2 books, and the rest borrowed at least 3 books. if the average number of books per student was 2, what is the maximum number of books any single student could have borrowed ?\nOptions: a. 3, b. 5, c. 8, d. 11, e. 15", "output": [ "d" ] }, { "id": "task1678-1edfa221c7e34ad493b60d10e97f67b9", "input": "Problem: the average of 10 numbers is calculated as 21. it is discovered later on that while calculating the average, one number namely 36 was wrongly read as 26. the correct average is ?\nOptions: a. a. 16, b. b. 18, c. c. 19, d. d. 22, e. e. 24", "output": [ "d" ] }, { "id": "task1678-ce63bd4a3c8c4a21972559c334deb54b", "input": "Problem: - 45 * 29 + 108 = ?\nOptions: a. 1197, b. 1897, c. - 1197, d. - 1900, e. none of these", "output": [ "c" ] }, { "id": "task1678-ce08cac9db344549bbfd5d4b2b8c2e0a", "input": "Problem: in a family gathering, there is a basket in which there are oranges, bananas and apples. half of the people in the family eat oranges, half of the other half eat bananas and the rest eat apples. if the number of people who eat oranges are 10 less than the total number of people, find the number of people in the gathering.\nOptions: a. 5, b. 10, c. 15, d. 20, e. 25", "output": [ "d" ] }, { "id": "task1678-ded561adf4324963bd4d2ac7a252b973", "input": "Problem: excluding stoppages, the average speed of a bus is 60 km / hr and including stoppages, the average speed of the bus is 15 km / hr. for how many minutes does the bus stop per hour ?\nOptions: a. 22, b. 88, c. 77, d. 20, e. 45", "output": [ "e" ] }, { "id": "task1678-055805632d1e445db173aa8ba392ed60", "input": "Problem: in a garment industry, 12 men working 9 hours per day complete a piece of work in 10 days. to complete the same work in 12 days, working 15 hours a day, the number of men required is :\nOptions: a. 4, b. 5, c. 6, d. 7, e. 9", "output": [ "d" ] }, { "id": "task1678-b50ef6a6df724f3ea1b03a9b98e895e0", "input": "Problem: laxmi and prasanna set on a journey. laxmi moves northwards at a speed of 20 kmph and prasanna moves southward at a speed of 30 kmph. how far will be prasanna from laxmi after 60 minutes ?\nOptions: a. 11, b. 50, c. 28, d. 27, e. 18", "output": [ "b" ] }, { "id": "task1678-4903a9fba0a04a99a6393639bc7a5ec4", "input": "Problem: there is a train and car. the ratio between the speed of a train & a car is 16: 15 respectively. also, a bus covered a distance of 320 km in 5 hours. the speed of the bus is 4 / 5 th of the speed of the train. how many kilometers will the car cover in 7 hours ?\nOptions: a. 375, b. 425, c. 475, d. 525, e. 575", "output": [ "d" ] }, { "id": "task1678-0831d44026014227a3fa1a46f389639c", "input": "Problem: ( ( ( 13 ! ) ^ 16 ) - ( ( 13 ! ) ^ 8 ) ) / ( ( ( 13 ! ) ^ 8 ) + ( ( 13 ! ) ^ 4 ) ) = a then what is the units digit for a / ( ( 13 ! ) ^ 4 ) =\nOptions: a. 7, b. 8, c. 9, d. 6, e. 5", "output": [ "c" ] }, { "id": "task1678-b118416e78f04f0c935c2ffff21e29b1", "input": "Problem: vishal invested 10 % more than trishul. trishul invested 10 % less than raghu. if the total sum of their investments is rs. 6358, how much amount did raghu invest ?\nOptions: a. 1287, b. 2200, c. 2000, d. 1129, e. 1192", "output": [ "b" ] }, { "id": "task1678-46cf65ba6fd74eadab9b3544c83a897f", "input": "Problem: jacob is 16 years old. he is 2 times as old as his brother. how old will jacob be when he is twice as old ?\nOptions: a. 13, b. 14, c. 15, d. 16, e. 24", "output": [ "e" ] }, { "id": "task1678-59dc7c7c9dd541c698936ba01f57188f", "input": "Problem: a bag of potatoes weighs 50 lbs divided by half of its weight. how much does the bag of potatoes weigh ?\nOptions: a. 10 lb, b. 20 lb, c. 30 lb, d. 40 lb, e. 50 lb", "output": [ "a" ] }, { "id": "task1678-2f5301126980425a8188cc22b5917ea8", "input": "Problem: in n is a positive integer less than 200, and 14 n / 60 is an integer, then n has how many different positive prime factors a ?\nOptions: a. 2, b. 3, c. 5, d. 6, e. 8", "output": [ "b" ] }, { "id": "task1678-13391a53c75b435f9ed67b795df7e3e6", "input": "Problem: the payment per hour for a daily - wages employee is increased by 33.33 and the working time is reduced by 33.33 %. what is the percentage change in the employee ' s income ?\nOptions: a. rs. 0.7889, b. rs. 0.8889, c. rs. 0.9889, d. rs. 1.8889, e. rs. 2.8889", "output": [ "b" ] }, { "id": "task1678-caedfac2fa3a4c6c9d2dbb3439c176cd", "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": "task1678-38e5f6a309e34d50b7816d21be63af86", "input": "Problem: there are 38 students in a certain geometry class. if two thirds of the students are boys and 3 fourths of the boys are under 6 feet tall, how many boys in the class are under 6 feet tall ?\nOptions: a. 6, b. 12, c. 19, d. 24, e. 27", "output": [ "c" ] }, { "id": "task1678-8808fe30f06d474c91103cb3ff77485a", "input": "Problem: a boat crossed a lake from north to east at the speed of 7 km / h, entered a river and covered twice as much distance going upstream at 6 km / h. it then turned around and stopped at the south shore of the lake. if it averaged 3.8 km / h that day, what was its approximate downstream speed ?\nOptions: a. 4, b. 5, c. 6, d. 7, e. 8", "output": [ "e" ] }, { "id": "task1678-d30d5f9c67344cdc8090c77f6cc47ed4", "input": "Problem: a bullet train 120 m long is running with a speed of 50 kmph. in what time will it pass a man who is running at 4 kmph in the direction opposite to that in which the bullet train is going ?\nOptions: a. 23 sec, b. 15 sec, c. 12 sec, d. 8 sec, e. 16 sec", "output": [ "d" ] }, { "id": "task1678-1b8432f3dd9b4ee29253db6d2fd862d4", "input": "Problem: a “ sophie germain ” prime is any positive prime number p for which 2 p + 1 is also prime. the product of all the possible units digits of sophie germain primes greater than 8 is\nOptions: a. 189, b. 197, c. 221, d. 227, e. 230", "output": [ "a" ] }, { "id": "task1678-3e1d05a6b29e44baa96579b2d85edbe8", "input": "Problem: how many digits will be there to the right of the decimal point in the product of 89.635 and. 02218 ?\nOptions: a. 5, b. 6, c. 7, d. 8, e. 9", "output": [ "c" ] }, { "id": "task1678-5397daccf6a04bd1b74ed718d605301f", "input": "Problem: 70,76, 74,85, 90,105, 105,130, 130,130 the list consists of the times in seconds that it took each of the 10 school children to run a distance of 400 mts. if the standard deviation of the 10 running times is 22.4, rounded to the nearest tenth of a second, how many of the 10 running times are more than 1 standard deviation below the mean of the 10 running times.\nOptions: a. 1, b. 2, c. 3, d. 4, e. 5", "output": [ "c" ] }, { "id": "task1678-ae7980e61b464644a698199bdb635654", "input": "Problem: if the cost price of 60 articles is equal to the selling price of 40 articles, then what is the percent profit ?\nOptions: a. 30 %, b. 40 %, c. 50 %, d. 60 %, e. 70 %", "output": [ "c" ] }, { "id": "task1678-332fe76029444a95874d81138983336f", "input": "Problem: john is the owner of a company and for thanksgiving he wants to give a turkey to each employee to celebrate the holiday. each turkey cost him $ 25. if he has 85 employees, how much would john need to spend ?\nOptions: a. $ 2125, b. $ 1320, c. $ 2000, d. $ 1580, e. $ 2000.75", "output": [ "a" ] }, { "id": "task1678-5bd365981b4840e8986751a526b08df0", "input": "Problem: set a { 3, 3,3, 4,5, 5,5 } has a standard deviation of 1. what will the standard deviation be if every number in the set is multiplied by 5 ?\nOptions: a. a. 1, b. b. 2, c. c. 4, d. d. 8, e. e. 5", "output": [ "e" ] }, { "id": "task1678-32d2f5f43777412682494590a7314493", "input": "Problem: there are 28 balls which are red, blue or green. if 12 balls are green and the sum of red balls and green balls is less than 24, at most how many red balls are there ?\nOptions: a. 10, b. 12, c. 11, d. 13, e. 14", "output": [ "c" ] }, { "id": "task1678-4921731962004a44a0e1598430edd9b1", "input": "Problem: a certain sum is invested at simple interest at 18 % p. a. for two years instead of investing at 12 % p. a. for the same time period. therefore the interest received is more by rs. 480. find the sum ?\nOptions: a. 7000, b. 7029, c. 4000, d. 2800, e. 2791", "output": [ "c" ] }, { "id": "task1678-5e6b94fbfb354158ba05fd12a580efc7", "input": "Problem: what is 66.67 % of 804 ?\nOptions: a. 587.69, b. 536, c. 627, d. 300.87, e. 567.67", "output": [ "b" ] }, { "id": "task1678-31630a640f174d918fa2359bd1e1eb01", "input": "Problem: a 7 - meter long wire is cut into two pieces. if the longer piece is then used to form a perimeter of a square, what is the probability that the area of the square will be more than 1 if the original wire was cut at an arbitrary point ?\nOptions: a. 4 / 5, b. 6 / 7, c. 5 / 8, d. 7 / 9, e. 9 / 10", "output": [ "b" ] }, { "id": "task1678-a0710df7ed86483b8ec28e19bc2db719", "input": "Problem: a train 200 m long can cross an electric pole in 20 sec and then find the speed of the train ?\nOptions: a. 987, b. 271, c. 72, d. 27, e. 36", "output": [ "e" ] }, { "id": "task1678-3635efcb1779469e9885d85c7dc6d2a6", "input": "Problem: a fair coin is tossed 5 times. what is the probability that it lands heads up at least twice ?\nOptions: a. 1 / 16, b. 5 / 16, c. 2 / 5, d. 13 / 16, e. 27 / 32", "output": [ "d" ] }, { "id": "task1678-863e79b2739046bf9db695b86ce5b5d2", "input": "Problem: there are 50 students in a class. if 6 % are absent on a particular day, find the number of students present in the class.\nOptions: a. 47, b. 36, c. 28, d. 12, e. 11", "output": [ "a" ] }, { "id": "task1678-c0b4473620eb4aca972f3f516fe61f01", "input": "Problem: what is 3 / 4 of 4 / 5 of 2 / 3 ?\nOptions: a. 1 / 4, b. 2 / 5, c. 9 / 16, d. 5 / 8, e. 16 / 9", "output": [ "b" ] }, { "id": "task1678-a2e1a7883fc44dae92416505995d777b", "input": "Problem: if the numerator of a fraction is increased by 20 % and its denominator is diminished by 25 % value of the fraction is 2 / 15. find the original fraction ?\nOptions: a. 1 / 12, b. 1 / 16, c. 1 / 19, d. 1 / 14, e. 1 / 13", "output": [ "a" ] }, { "id": "task1678-b484adf9d91c4cd19b23fe1084c59664", "input": "Problem: when w is divided by 13, the reminder is 0. if w is 3 more than it value and when divided by 11 its remainder is 0. what is the value of w ?\nOptions: a. 13, b. 52, c. 39, d. 26, e. 35", "output": [ "b" ] }, { "id": "task1678-e8180f5126fa49a295327bf53c2603e1", "input": "Problem: which is the least number that must be subtracted from 1828 so that the remainder when divided by 8, 12, 16 is 4 ?\nOptions: a. 0, b. 4, c. 8, d. 6, e. 2", "output": [ "a" ] }, { "id": "task1678-ba9f35d272474216b859df2a46e12757", "input": "Problem: a high school has 400 students 1 / 2 attend the airthmetic club, 5 / 8 attend the biology club and 3 / 4 attend the chemistry club. 1 / 8 attend all 3 clubs. if every student attends at least one club how many students attend exactly 2 clubs.\nOptions: a. 300, b. 200, c. 250, d. 150, e. 160", "output": [ "c" ] }, { "id": "task1678-5c8844bbc6ae4cba806efc37dd6c6d5f", "input": "Problem: the difference between the place values of two eights in the numerical 38140482 is\nOptions: a. 7999920, b. 799920, c. 7920, d. 79920, e. none of them", "output": [ "a" ] }, { "id": "task1678-2fae1261f0434772bf6c19b0d65ac7dc", "input": "Problem: a is two years older than b who is twice as old as c. if the total of the ages of a, b nd c be 27, then how old is b ?\nOptions: a. 7, b. 8, c. 9, d. 10, e. 11", "output": [ "d" ] }, { "id": "task1678-3414682ca4874c50a826fa906550dec3", "input": "Problem: last year elaine spent 20 % of her annual earnings on rent. this year she earned 35 % more than last year and she spent 30 % of her annual earnings on rent. the amount she spent on rent this year is what percent of the amount spent on rent last year ?\nOptions: a. 202.5, b. 194.5, c. 197.5, d. 182.5, e. 177.5", "output": [ "a" ] }, { "id": "task1678-99285666d35443ca99118f7a85b7e8f0", "input": "Problem: i chose a number and divide it by 4. then i subtracted 24 from the result and got 10. what was the number i chose ?\nOptions: a. 170, b. 700, c. 800, d. 900, e. none", "output": [ "a" ] }, { "id": "task1678-5487aace83bf47c2a2e3eca10077c2ec", "input": "Problem: an agent, gets a commission of 2.5 % on the sales of cloth. if on a certain day, he gets rs. 21 as commission, the cloth sold through him on that day is worth\nOptions: a. 333, b. 500, c. 840, d. 299, e. 132", "output": [ "c" ] }, { "id": "task1678-036464c0a7c34aa3be62a740d3390bd0", "input": "Problem: the average temperature for tuesday, wednesday and thursday was 32 ° c. the average temperature for wednesday, thursday and friday was 34 ° c. if the temperature on friday be 44 ° c, what was the temperature on tuesday ?\nOptions: a. 39 ° c, b. 44 ° c, c. 38 ° c, d. 42 ° c, e. none of these", "output": [ "c" ] }, { "id": "task1678-eae7911b6bdd4910a6617456747d5db5", "input": "Problem: a cyclist bikes x distance at 10 miles per hour and returns over the same path at 9 miles per hour. what is the cyclist ' s average rate for the round trip in miles per hour ?\nOptions: a. 8.1, b. 8.3, c. 8.6, d. 8.9, e. 9.5", "output": [ "e" ] }, { "id": "task1678-4d9c725f2cc04c24a954cdfc50e182c3", "input": "Problem: the diagonal of a cube is 8 √ 3. find its volume and surface area.\nOptions: ['a. 354', 'b. 384', 'c. 324', 'd. 344', 'e. 364']", "output": [ "b" ] }, { "id": "task1678-71c6eb6517874a1cb54451a3b8212d6d", "input": "Problem: a certain rectangular crate measures 8 feet by 14 feet by 16 feet. a cylindrical gas tank is to be made for shipment in the crate and will stand upright when the crate is placed on one of its six faces. what should the radius of the tank be if it is to be of the largest possible volume ?\nOptions: a. 4, b. 5, c. 6, d. 8, e. 10", "output": [ "c" ] }, { "id": "task1678-136145a6aa504affa8b9e4d404f7d84a", "input": "Problem: a group of boy scouts and girls scouts is going on a rafting trip. 70 % of the scouts arrived with signed permission slips. if 60 % of the scouts were boy scouts and 75 % of the boy scouts arrived with signed permission slips, then what percentage of the girl scouts arrived with signed permission slips ? round to the nearest percent.\nOptions: a. 50 %, b. 60 %, c. 63 %, d. 66 %, e. 70 %", "output": [ "c" ] }, { "id": "task1678-cb725b1c58e0490b8bd0cdf6c5b6aac1", "input": "Problem: the megatek corporation is displaying its distribution of employees by department in a circle graph. the size of each sector of the graph representing a department is proportional to the percentage of total employees in that department. if the section of the circle graph representing the manufacturing department takes up 216 ° of the circle, what percentage of megatek employees are in manufacturing ?\nOptions: a. 20 %, b. 25 %, c. 30 %, d. 35 %, e. 60 %", "output": [ "e" ] }, { "id": "task1678-4e4cf7c2ea744d5791923534499662e2", "input": "Problem: in a school of 850 boys, 34 % of muslims, 28 % hindus, 10 % sikhs and the remaining of other communities. how many belonged to the other communities ?\nOptions: a. a. 125, b. b. 627, c. c. 153, d. d. 238, e. e. 159", "output": [ "d" ] }, { "id": "task1678-fb850dabc65a427a9acf90e8fa518e73", "input": "Problem: if anangletis defined as 1 percent of 1 degree, then how many anglets are there in a third circle ?\nOptions: a. 0.36, b. 3.6, c. 12,000, d. 3,600, e. 36,000", "output": [ "c" ] }, { "id": "task1678-c900d9b4bc1841aa82914dac17ccdc94", "input": "Problem: 2 ^ 46655 mod 9 = ?\nOptions: a. 4, b. 5, c. 6, d. 7, e. 8", "output": [ "b" ] }, { "id": "task1678-9f67ce8f35d044cd92e7ef39490611ff", "input": "Problem: a cube has five of its faces painted half red and half white. the other face is completely painted white. what is the ratio between the red painted areas and the white painted areas of the cube ?\nOptions: ['a. 6: 11', 'b. 2: 5', 'c. 3: 4', 'd. 5: 7', 'e. 2: 3']", "output": [ "d" ] }, { "id": "task1678-0a05b3db0ab24862bcee7c781f943bf3", "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": "task1678-2e8a42f827b14c00b0702ab5835c5857", "input": "Problem: increasing the original price of a certain item by 25 percent and then increasing the new price by 30 percent is equivalent to increasing the original price by what percent ?\nOptions: a. 31.25, b. 37.5, c. 50.0, d. 52.5, e. 62.5", "output": [ "e" ] }, { "id": "task1678-6d859cbcd63e406cb3d0deeabae1848f", "input": "Problem: the population of a bacteria colony doubles every day. if it was started 10 days ago with 2 bacteria and each bacteria lives for 12 days, how large is the colony today ?\nOptions: a. 512, b. 768, c. 1024, d. 2048, e. 4096", "output": [ "d" ] }, { "id": "task1678-5eb7254f2ae245dfbde1eb8b7b14afa7", "input": "Problem: a computer manufacturer produces a certain electronic component at a cost of $ 80 per component. shipping costs for delivering the components are $ 2 per unit. further, the manufacturer has costs of $ 16,200 a month related to the electronic component regardless of how many it produces. if the manufacturer produces and sells 150 components a month, what is the lowest price it can sell them for such that the costs do n ' t exceed the revenues ?\nOptions: a. $ 28, b. $ 82, c. $ 110, d. $ 190, e. $ 192", "output": [ "d" ] }, { "id": "task1678-7c63fd24fc95477fa800632ca3d7cf75", "input": "Problem: a certain list consists of 21 different numbers. if n is in the list and n is 6 times the average ( arithmetic mean ) of the other 20 numbers in the list, then n is what fraction of the sum of the 21 numbers in the list ?\nOptions: a. 1 / 20, b. 1 / 6, c. 1 / 5, d. 3 / 13, e. 5 / 21", "output": [ "d" ] }, { "id": "task1678-4d2fe3afa18844be9dd5dda20d24aac1", "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": "task1678-609c93c56407478cb1a929b6b75f37ad", "input": "Problem: a tempo, while travelling at 70 kmph, uses 30 % more petrol than it uses while travelling at 50 kmph for travelling a certain distance. using one litre of petrol, it can travel 19.5 km at 50 kmph. how far can the tempo travel on 10 litres of petrol at a speed of 70 kmph ?\nOptions: a. 150 kms, b. 160 kms, c. 170 kms, d. 180 kms, e. 190 kms", "output": [ "a" ] }, { "id": "task1678-49d640b24c334f3da6423deea6c77e92", "input": "Problem: in an examination it is necessary for a candidate to get 45 % of the maximum marks to pass. a candidate who gets 180 marks, fails by 45 marks. find the maximum marks.\nOptions: a. 450, b. 600, c. 500, d. 550, e. 650", "output": [ "c" ] }, { "id": "task1678-19b9b78611ce49c0bacc7fa65b27a7bb", "input": "Problem: in a box of 9 pens, a total of 3 are defective. if a customer buys 2 pens selected at random from the box, what is the probability that neither pen will be defective ?\nOptions: a. 3 / 10, b. 4 / 11, c. 5 / 12, d. 6 / 13, e. 7 / 15", "output": [ "c" ] }, { "id": "task1678-9b64ac8e148e47b186d498bc0bc353c4", "input": "Problem: 265.124 x 11.98 ã · 8.001 + 32.28 = ?\nOptions: a. 983.578, b. 659.121, c. 781.189, d. 429.966, e. 456.512", "output": [ "d" ] }, { "id": "task1678-f2e76e971c074a3fbea5fc8a2d819a46", "input": "Problem: find a two digit number, given that the sum of the digits is 9 and the difference of the digits is 3. ?\nOptions: a. 75, b. 63, c. 83, d. 94, e. 39", "output": [ "b" ] }, { "id": "task1678-5511efe724e441e2bb437f4df850ab91", "input": "Problem: fox jeans regularly sell for $ 15 a pair and pony jeans regularly sell for $ 18 a pair. during a sale these regular unit prices are discounted at different rates so that a total of $ 9 is saved by purchasing 5 pairs of jeans: 3 pairs of fox jeans and 2 pairs of pony jeans. if the sum of the two discounts rates is 25 percent, what is the discount rate on pony jeans ?\nOptions: a. 9 %, b. 10 %, c. 11 %, d. 12 %, e. 25 %", "output": [ "e" ] }, { "id": "task1678-3f0d0414bd9749b3af29d6ca72f1e81b", "input": "Problem: eight identical machines can produce 360 aluminum cans per hour. if all of the machines work at the same constant rate, how many cans could 5 such machines produce in 7 hours ?\nOptions: a. 675, b. 750, c. 1,800, d. 5,900, e. 1,575", "output": [ "e" ] }, { "id": "task1678-ad31c349f1df45a0bd8ac1e6ecb8eb6d", "input": "Problem: if x is an integer and 2.13 × 10 ^ x is less than 2100, what is the greatest possible value for x ?\nOptions: a. 2, b. 6, c. 5, d. 4, e. 3", "output": [ "a" ] }, { "id": "task1678-8dc9ced5d7804d0f90c82bc6d102e707", "input": "Problem: if 5 % more is gained by selling an article for rs. 360 than by selling it for rs. 340, the cost of the article is ?\nOptions: a. 127, b. 688, c. 400, d. 121, e. 123", "output": [ "c" ] }, { "id": "task1678-63819d9b85a14d118c49598a061fe18a", "input": "Problem: for any integer k greater than 1, the symbol k * denotes the product of all integers between 1 and k, inclusive. if k * is a multiple of 525 what is the least possible value of k ?\nOptions: a. 10, b. 14, c. 15, d. 21, e. 25", "output": [ "a" ] }, { "id": "task1678-00a4d06c04424b369ca9056aa9c954ac", "input": "Problem: find the area of trapezium whose parallel sides are 28 cm and 18 cm long, and the distance between them is 15 cm.\nOptions: a. 227, b. 299, c. 345, d. 161, e. 212", "output": [ "c" ] }, { "id": "task1678-d5e03199058e4955acd56703c6ab19bb", "input": "Problem: joshua and jose work at an auto repair center with 4 other workers. for a survey on health care insurance, 2 of the 6 workers will be randomly chosen to be interviewed. what is the probability that joshua and jose will both be chosen ?\nOptions: a. 1 / 15, b. 1 / 12, c. 1 / 9, d. 1 / 6, e. 1 / 3", "output": [ "a" ] }, { "id": "task1678-ad5fa02e45284b5fb377585043f7549e", "input": "Problem: 3 candidates in an election and received 6136, 7636 and 11628 votes respectively. what % of the total votes did the winning candidate got in that election ?\nOptions: a. 46 %, b. 49 %, c. 57 %, d. 59 %, e. 61 %", "output": [ "a" ] }, { "id": "task1678-da89cb954e0d426c901141bb3b2d76df", "input": "Problem: the ratio of males to females in a class is 2: 3. the career preferences of the students in the class are represented in a circle graph. if the area of the graph allocated to each career preference is proportional to the number of students who have that career preference, how many degrees of the circle should be used to represent a career that is preferred by one - fourth of the males and one - half of the females in the class ?\nOptions: ['a. 128', 'b. 136', 'c. 144', 'd. 152', 'e. 160']", "output": [ "c" ] }, { "id": "task1678-60817de7f8cb4f6baf12a4a3484ee872", "input": "Problem: 4 liters of a 20 percent solution of alcohol in water are mixed with 5 liters of a 10 percent alcohol in water solution. what is the percentage of alcohol in the new solution ?\nOptions: a. 14.4 %, b. 14.8 %, c. 15.2 %, d. 15.6 %, e. 16.0 %", "output": [ "a" ] }, { "id": "task1678-82f5b3611e794456a87213cb564851cc", "input": "Problem: 300 first - time customers of a fashion store were surveyed for their shopping experience right after leaving the store. 60 % of the customers in the survey had purchased clothes for less than $ 100. 40 % of the customers in the survey reported they were overall satisfied with their purchase. 45 % of the customers that had purchased clothes for less than $ 100 reported they were overall satisfied with their purchase. what percent of the customers surveyed purchased clothes for at least $ 100 and reported that they were not overall satisfied with their purchase ?\nOptions: a. 15, b. 25, c. 13, d. 45, e. 75", "output": [ "c" ] }, { "id": "task1678-b14ce0bd9a804593b708fdc669e9f39e", "input": "Problem: a merchant sells an item at a 20 % discount, but still makes a gross profit of 20 percent of the cost. what percent of the cost would the gross profit on the item have been if it had been sold without the discount ?\nOptions: a. 20 %, b. 40 %, c. 50 %, d. 60 %, e. 75 %", "output": [ "c" ] }, { "id": "task1678-239c718a9a9d4894956ae02eb7b62ebd", "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": "task1678-13f8a33d87804779995c4fc2286b383b", "input": "Problem: a question paper has 2 parts, a & b, each containing 8 questions. if a student has to choose 8 from part a & 4 from part b, in how many ways can he choose the questions ?\nOptions: a. 110, b. 70, c. 120, d. 130, e. 140", "output": [ "b" ] }, { "id": "task1678-c5fc20e7a50246cab298452535ff6178", "input": "Problem: a can do a piece of work in 80 days. he works at it for 10 days b alone finishes the remaining work in 42 days. in how much time will a and b working together, finish the work ?\nOptions: a. 25, b. 30, c. 20, d. 32, e. none of them", "output": [ "b" ] }, { "id": "task1678-eac38871ad54402c9e3c04719dd9cd86", "input": "Problem: working together, printer a and printer b would finish the task in 24 minutes. printer a alone would finish the task in 60 minutes. how many pages does the task contain if printer b prints 6 pages a minute more than printer a ?\nOptions: a. 600, b. 800, c. 1000, d. 720, e. 1500", "output": [ "d" ] }, { "id": "task1678-0ed976a56fbf4bb391c75881c6c87cf1", "input": "Problem: the monthly rent of a shop of dimension 18 feet × 22 feet is rs. 2244. what is the annual rent per square foot of the shop ? ( a. rs. 5 ( 2 / 3 )\nOptions: a. 43, b. 56, c. 68, d. 87, e. 92", "output": [ "c" ] }, { "id": "task1678-95d4a9812bc74181bedde8163d7a19df", "input": "Problem: a grocer has a sale of rs. 5255, rs. 5840, rs. 5921, rs. 6022 and rs. 6499 for 5 consecutive months. how much sale must he have in the sixth month so that he gets an average sale of rs. 5500 ?\nOptions: a. 3463, b. 4463, c. 5463, d. 4063, e. 5063", "output": [ "b" ] }, { "id": "task1678-cfaec9072606459abbf0132d8f4f2e02", "input": "Problem: mr. john used to purchase certain number of mangoes for $ 360 since the price of mangoes is reduced by 10 % he got 12 more mangoes today. find the original price of 135 mangoes.\nOptions: a. 360, b. 380, c. 400, d. 450, e. 412", "output": [ "d" ] }, { "id": "task1678-e9ce115d4c0f4bc69feae24fbaafdaa5", "input": "Problem: a gambler has won 40 % of his 20 poker games for the week so far. if, all of a sudden, his luck changes and he begins winning 80 % of the time, how many more games must he play to end up winning 60 % of all his games for the week ?\nOptions: a. 20, b. 25, c. 30, d. 35, e. 40", "output": [ "a" ] }, { "id": "task1678-ccf1a44e09f74a42a914a43805479864", "input": "Problem: the malibu country club needs to drain its pool for refinishing. the hose they use to drain it can remove 60 cubic feet of water per minute. if the pool is 60 feet wide by 100 feet long by 10 feet deep and is currently at 80 % capacity, how long will it take to drain the pool ?\nOptions: a. 1000, b. 1400, c. 1200, d. 800, e. 1000", "output": [ "d" ] }, { "id": "task1678-049bc0b1c9cd41ef96ba4e1e8e03ee81", "input": "Problem: walking at 4 / 5 of her normal speed, a worker is 10 minutes later than usual in reaching her office. the usual time ( in minutes ) taken by her to cover the distance between her home and her office is\nOptions: a. 30, b. 35, c. 40, d. 45, e. 50", "output": [ "c" ] }, { "id": "task1678-6210af7cbff240b9803f5f3c2134106e", "input": "Problem: find the length of the longest pole that can be placed in a room 12 m long, 8 m broad and 9 m high.\nOptions: a. 10 m, b. 12 m, c. 17 m, d. 19 m, e. none", "output": [ "c" ] }, { "id": "task1678-990f8a59306e4d4784481ff0b35d184a", "input": "Problem: a metallic sheet is of rectangular shape with dimensions 48 m x 36 m. from each of its corners, a square is cut off so as to make an open box. if the length of the square is 4 m, the volume of the box ( in m 3 ) is :\nOptions: a. 4480, b. 5120, c. 6420, d. 8960, e. 7960", "output": [ "a" ] }, { "id": "task1678-01020286404d4a4db98ddd1a5bd30f44", "input": "Problem: find the value of x in ( x + 1 ) / ( x + 3 ) = 5\nOptions: a. 2.5, b. - 2.5, c. 3.0, d. 3.5, e. - 3.5", "output": [ "e" ] }, { "id": "task1678-97cafc0cf00a4accb9e3aed0607dd5ce", "input": "Problem: a and b can together finish a work in 40 days. they worked together for 10 days and then b left. after another 15 days, a finished the remaining work. in how many days a alone can finish the job ?\nOptions: a. 10, b. 25, c. 60, d. 30, e. 20", "output": [ "e" ] }, { "id": "task1678-0889c98119764282bebe5b35e8f59cc8", "input": "Problem: if the radius of a cylinder is made 3 times and height is doubled, what is the new volume of the cylinder divided by the old one ?\nOptions: a. 18., b. 2., c. 6., d. 4., e. 10.", "output": [ "a" ] }, { "id": "task1678-5e11aec88abd46f791965697c5b18e5e", "input": "Problem: a train 110 m long is running with a speed of 82 km / hr. in what time will it pass a man who is running at 6 km / hr in the direction opposite to that in which the train is going ?\nOptions: a. 7 sec, b. 6 sec, c. 8 sec, d. 4.5 sec, e. 2 sec", "output": [ "d" ] }, { "id": "task1678-f62fdb141cf84a6d82d8ca3b1dbe8019", "input": "Problem: the average marks of a class of 35 students is 40 and that of another class of 45 students is 60. find the average marks of all the students ?\nOptions: a. 52.6, b. 52.4, c. 52.1, d. 51.2, e. 52.9", "output": [ "d" ] }, { "id": "task1678-dd2ef8ea4d3c4178a146dba4f790fb50", "input": "Problem: abcd is a square where ab = √ 2016. let x be a point on ab and y be a point on cd such that ax = cy. compute the area of trapezoid axyd.\nOptions: a. 3008, b. 2002, c. 1008, d. 2016, e. 3000", "output": [ "c" ] }, { "id": "task1678-ca77590f0d4a42a195c02e00899dc464", "input": "Problem: chris age after 9 years will be 5 times his age 5 years back. what is the present age of chris ?\nOptions: a. a. 20, b. b. 25, c. c. 15, d. d. 22, e. e. 16", "output": [ "e" ] }, { "id": "task1678-3914ef6ba341458496e8f0922d12f32b", "input": "Problem: the owner of a furniture shop charges his customer 20 % more than the cost price. if a customer paid rs. 8600 for a computer table, then what was the cost price of the computer table ?\nOptions: a. rs. 6289, b. rs. 6298, c. rs. 6290, d. rs. 7166, e. rs. 7708", "output": [ "d" ] }, { "id": "task1678-3847455df4ad4a5297ee6e5f07795eb0", "input": "Problem: what is the perimeter, in meters, of a rectangular garden 16 meters wide that has the same area as a rectangular playground 16 meters long and 12 meters wide ?\nOptions: a. 48, b. 56, c. 60, d. 56, e. 192", "output": [ "d" ] }, { "id": "task1678-55f6650502284186b4fa65b71fd7d6a3", "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": "task1678-2a9c8b8458904eeb868080b868f83496", "input": "Problem: the distance between west - town to east - town is 10 kilometers. two birds start flying simultaneously towards one another, the first leaving from west - town at a speed of 4 kilometers per minute and the second bird, leaving from east - town, at a speed of 1 kilometers per minute. what will be the distance, in kilometers, between the meeting point and west - town ?\nOptions: a. 3., b. 8., c. 10., d. 12., e. 15.", "output": [ "b" ] }, { "id": "task1678-be0b1e95d26943a79b6ebdfac120c5ab", "input": "Problem: if m is a positive integer and m ^ 2 is divisible by 33, then the largest positive integer that must divide m is ?\nOptions: a. 3, b. 6, c. 8, d. 11, e. 16", "output": [ "d" ] }, { "id": "task1678-eaacf07d09e049faa3688303fdae9b05", "input": "Problem: √ 2 percent of 2 √ 2 =\nOptions: a. 5.0, b. 0.05, c. 1.0, d. 2.0, e. 4.0", "output": [ "b" ] }, { "id": "task1678-e415c87318024ef285dc2dfa542ddbaa", "input": "Problem: a, b and c play a cricket match. the ratio of the runs scored by them in the match is a: b = 6: 3 and b: c = 6: 5. if the total runs scored by all of them are 118, the runs scored by b are ?\nOptions: a. 24, b. 20.13, c. 30.93, d. 20.93, e. 10.93", "output": [ "a" ] }, { "id": "task1678-57e8c08b29eb412dbbd8bcd700c6efb6", "input": "Problem: a man swims downstream 90 km and upstream 55 km taking 5 hours each time; what is the speed of the current ?\nOptions: a. 3.8, b. 3.5, c. 3.3, d. 3.2, e. 1.6", "output": [ "b" ] }, { "id": "task1678-87f0407924ac425b854ca89c52b507d4", "input": "Problem: from a total of 5 boys and 6 girls, how many 4 - person committees can be selected if the committee must have exactly 2 boys and 2 girls ?\nOptions: a. 16, b. 24, c. 60, d. 120, e. 150", "output": [ "e" ] }, { "id": "task1678-8eace9ff9c7049bb88d141a481c2c114", "input": "Problem: the simple interest on a sum of money will be rs. 1400 after 10 years. if the principal is trebled after 5 years what will be the total interest at the end of the tenth year ?\nOptions: a. 2800, b. 3799, c. 1200, d. 2693, e. 1732", "output": [ "a" ] }, { "id": "task1678-02da406d06894032ad2df6ad3a3743fa", "input": "Problem: if the price of a certain computer increased 30 percent from d dollars to 351 dollars, then 3 d =\nOptions: a. 540, b. 570, c. 619, d. 649, e. 710", "output": [ "e" ] }, { "id": "task1678-ef51f3c07f0543aa9641be769ecf78ce", "input": "Problem: two cars start at the same time from opposite ends of a highway that is 175 miles long. one car is riding at 25 mph and the second car is riding at 45 mph. how long after they begin will they meet ?\nOptions: a. 2, b. 2.5, c. 3, d. 3.5, e. 4", "output": [ "b" ] }, { "id": "task1678-c54bfbf6e79d4aeeb05e911ecfa71317", "input": "Problem: how many seven - digit numbers that do not contain the digits 2 or 9 are there ?\nOptions: a. 178546, b. 44786544, c. 435786, d. 1599678, e. 1835008", "output": [ "e" ] }, { "id": "task1678-d8be7e0fccf24b1c86e7c9b1c429d31c", "input": "Problem: the sum of two consecutive number is 67. which is the larger number ?\nOptions: a. 34, b. 43, c. 44, d. 45, e. 46", "output": [ "a" ] }, { "id": "task1678-09c5a2c7644a464fabac73c5b23dbcf6", "input": "Problem: a and b together can do a piece of work in 1 days. if a alone can do the same work in 20 days, then b alone can do the same work in ?\nOptions: a. 0.35 days, b. 0.45 days, c. 0.55 days, d. 0.25 days, e. 0.95 days", "output": [ "e" ] }, { "id": "task1678-f51ce897820a4dcfb54383c5b1605bfc", "input": "Problem: in a school of 850 boys, 46 % of muslims, 28 % hindus, 10 % sikhs and the remaining of other communities. how many belonged to the other communities ?\nOptions: a. a. 136, b. b. 627, c. c. 153, d. d. 721, e. e. 159", "output": [ "a" ] }, { "id": "task1678-1dd667246aa147c0bd2c007108a9bf34", "input": "Problem: 45 % of x is greater than 1 / 3 rd of x by 110. what is x ?\nOptions: a. 100, b. 200, c. 300, d. 350, e. 943", "output": [ "e" ] }, { "id": "task1678-0f63cbf546714430972b85444c67e7b0", "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": "task1678-bb7a656486b74bea82d9d943c60be9e5", "input": "Problem: a / ( b / c. in the expression above, a, b, and c are different numbers and each is one of the numbers 2, 3, or 6. what is the largest possible value of the expression ?\nOptions: a. 2 / 18, b. 6 / 3, c. 30 / 2, d. 18 / 2, e. 6 / 18", "output": [ "d" ] }, { "id": "task1678-369d379c6f1d4b6f87ea2e0cc44e73a1", "input": "Problem: a work as fast as b. if b can complete a work in 8 days independently, the number of days in which a and b can together finish the work in ?\nOptions: a. 2 days, b. 2 2 / 3 days, c. 4 days, d. 5 days, e. 6 days", "output": [ "b" ] }, { "id": "task1678-ad9239ceb6454377bc25da997ce0dc3a", "input": "Problem: ravi purchased a refrigerator and a mobile phone for rs. 15000 and rs. 8000 respectively. he sold the refrigerator at a loss of 5 percent and the mobile phone at a profit of 10 percent. overall he make a.\nOptions: a. 50, b. 288, c. 27, d. 200, e. 881", "output": [ "a" ] }, { "id": "task1678-f95983226ab54120b57e46f3412deefa", "input": "Problem: a batsman makes a score of 87 runs in the 17 th inning and thus increases his average by 3. find his average after 17 th inning.\nOptions: a. 39, b. 88, c. 26, d. 87, e. 11", "output": [ "a" ] }, { "id": "task1678-4d6d4b8a73a14c55aaf04edb85e46701", "input": "Problem: the area of a square is equal to five times the area of a rectangle of dimensions 32 cm * 10 cm. what is the perimeter of the square ?\nOptions: ['a. 289 cm', 'b. 160 cm', 'c. 829 cm', 'd. 288 cm', 'e. 289 cm']", "output": [ "b" ] }, { "id": "task1678-c2f144fdc6ea45c5a9c1561e20fc21f6", "input": "Problem: working alone, mary can pave a driveway in 4 hours and hillary can pave the same driveway in 3 hours. when they work together, mary thrives on teamwork so her rate increases by 33.33 %, but hillary becomes distracted and her rate decreases by 50 %. if they both work together, how many hours will it take to pave the driveway ?\nOptions: a. 2 hours, b. 4 hours, c. 5 hours, d. 6 hours, e. 7 hours", "output": [ "a" ] }, { "id": "task1678-ceb06086fc274688ac480f54cfc7ee98", "input": "Problem: if y is a positive number and 1 / 2 the square root of x is the cube root of y, then y =\nOptions: a. 64, b. 32, c. 16, d. 4, e. 1", "output": [ "a" ] }, { "id": "task1678-9234d391baa74bc2bc016694402cd647", "input": "Problem: the perimeter of a semi circle is 180 cm then the radius is ?\nOptions: a. 22, b. 28, c. 35, d. 37, e. 13", "output": [ "c" ] }, { "id": "task1678-258b52b4895e45ae9f9c2b599628dc99", "input": "Problem: the sum of the ages of 4 children born at the intervals of 1 years each is 12 years. what is the age of the youngest child ?\nOptions: a. 2.5, b. 1.5, c. 1, d. 3.5, e. 4.5", "output": [ "b" ] }, { "id": "task1678-122594bccd9f43d1b451093d234d114a", "input": "Problem: what is the decimal equivalent of ( 1 / 2 ) ^ 2 ?\nOptions: a. 0.0016, b. 0.0625, c. 0.16, d. 0.25, e. 0.5", "output": [ "d" ] }, { "id": "task1678-db82f3d2fd254eeba753c165b06f7caf", "input": "Problem: when x is even, [ x ] = x / 2 + 1, when x is odd [ x ] = 2 x + 1 then [ 6 ] * [ 3 ] = ?\nOptions: a. [ 22 ], b. [ 44 ], c. [ 45 ], d. [ 28 ], e. [ 10 ]", "output": [ "d" ] }, { "id": "task1678-dc4f4f3637b24830aa1d005ca9302852", "input": "Problem: the sum of all the integers a such that - 26 < a < 24 is\nOptions: a. 0, b. - 2, c. - 25, d. - 49, e. - 51", "output": [ "d" ] }, { "id": "task1678-0cfe464c2d43432684512af81b394a07", "input": "Problem: in what time will a railway train 52 m long moving at the rate of 24 kmph pass a telegraph post on its way ?\nOptions: a. 3 sec, b. 4 sec, c. 8 sec, d. 6 sec, e. 7 sec", "output": [ "c" ] }, { "id": "task1678-719fc2469f524af0899df734ac86838d", "input": "Problem: find the smallest number which should be multiplied with 36963 to make it a perfect square.\nOptions: a. 4, b. 7, c. 4, d. 3, e. 6", "output": [ "d" ] }, { "id": "task1678-fbf7274ae1cd408b900676401e2a119c", "input": "Problem: one computer can upload 100 megabytes worth of data in 2 seconds. two computers, including this one, working together, can upload 1300 megabytes worth of data in 10 seconds. how long would it take for the second computer, working on its own, to upload 100 megabytes of data ?\nOptions: a. 6.6, b. 7, c. 9, d. 11, e. 13", "output": [ "a" ] }, { "id": "task1678-725f75dd5a2e4e15a60ddd6e034492bc", "input": "Problem: 6 / 9 of the population of the country of venezia lives in montague province, while the rest lives in capulet province. in the upcoming election, 80 % of montague residents support romeo, while 70 % of capulet residents support juliet; each resident of venezia supports exactly one of these two candidates. rounded if necessary to the nearest percent, the probability that a juliet supporter chosen at random resides in capulet is\nOptions: a. 64 %, b. 41 %, c. 45 %, d. 72 %, e. 78 %", "output": [ "a" ] }, { "id": "task1678-40b39b235cd847e5b37247c5956ebf8e", "input": "Problem: if a 2 - b 2 = 10 and a * b = 5, find a 4 + b 4.\nOptions: a. 50, b. 100, c. 150, d. 92, e. 25", "output": [ "c" ] }, { "id": "task1678-9a0db0179f194e5c9b45cb3b5a57ceb5", "input": "Problem: in an office, totally there are 2800 employees and 25 % of the total employees are males. 30 % of the males in the office are at - least 50 years old. find the number of males aged below 50 years ?\nOptions: a. 390, b. 490, c. 400, d. 460, e. none of these", "output": [ "b" ] }, { "id": "task1678-66b309345f31433d83d02fc0fc4db15f", "input": "Problem: when 3 is added to half of one - third of one - fifth of a number, the result is one - fifteenth of the number. find the number ?\nOptions: a. 32, b. 81, c. 60, d. 27, e. 90", "output": [ "e" ] }, { "id": "task1678-13d05216716848b3984df7f0cd34e20e", "input": "Problem: how many integers between 314,700 and 458,600 have tens digit 1 and units digit 3 ?\nOptions: a. 10,300, b. 10,030, c. 1,353, d. 1,352, e. 1,439", "output": [ "e" ] }, { "id": "task1678-b635fdd4d0a14d3c989cf985a3301975", "input": "Problem: a certain psychologist charges $ 20 more for the first hour of therapy than for each additional hour. if the total charge to a patient who receives 5 hours of therapy is $ 300, what is the total charge to a patient who receives only 3 hours of therapy ?\nOptions: a. $ 120, b. $ 135, c. $ 150, d. $ 165, e. $ 188", "output": [ "e" ] }, { "id": "task1678-99c1371cf2e445d88176a9a317d8cd2c", "input": "Problem: 4 athletes, wendy, michelle, brenda, and jamal, scored in a soccer ( football ) game. if michelle scored 1 more goal than brenda did, jamal scored 3 less than wendy did, and wendy scored 3 more than michelle did, how many fewer goals did brenda score than jamal ?\nOptions: a. - 8, b. - 6, c. - 2, d. - 1, e. - 3", "output": [ "d" ] }, { "id": "task1678-b39cbe8df463412ab9f6832ea05736ff", "input": "Problem: a bus trip of 550 miles would have taken 1 hour less if the average speed v for the trip had been greater by 5 miles per hour. what was the average speed v, in miles per hour, for the trip ?\nOptions: a. 40, b. 45, c. 50, d. 55, e. 60", "output": [ "c" ] }, { "id": "task1678-fe1694b1eb484ac1b0336cb6ab5676e0", "input": "Problem: the sum of the squares of 3 consecutive natural number is 2030. what is the middle number ?\nOptions: a. 25, b. 26, c. 27, d. 28, e. 29", "output": [ "b" ] }, { "id": "task1678-c7bcff7ff9ed437bb9502fe785ed32ee", "input": "Problem: ( √ 112 + √ 567 ) / √ 175 = ?\nOptions: a. 2 √ 2, b. 13 / 5, c. 3 √ 2, d. 3 √ 3, e. √ 2", "output": [ "b" ] }, { "id": "task1678-461561e8fa43442b949fc494638c94df", "input": "Problem: a statue is being carved by a sculptor. the original piece of marble weighed 250 kg. in the first week 30 percent is cut away. in the second week 20 percent of the remainder is cut away. in the third week the statue is completed when 25 percent of the remainder is cut away. what is the weight of the final statue ?\nOptions: a. 105 kg, b. 103 kg, c. 108 kg, d. 125 kg, e. 117 kg", "output": [ "a" ] }, { "id": "task1678-1f1554758a784e9b97cbb79c413bbd28", "input": "Problem: dan can do a job alone in 12 hours. annie, working alone, can do the same job in just 9 hours. if dan works alone for 8 hours and then stops, how many hours will it take annie, working alone, to complete the job ?\nOptions: a. 2, b. 3, c. 4, d. 5, e. 6", "output": [ "b" ] }, { "id": "task1678-24d3c738043b4fc8ba67d3a5ed33b2c8", "input": "Problem: two cars start from the opposite places of a main road, 105 km apart. first car runs for 25 km and takes a right turn and then runs 15 km. it then turns left and then runs for another 25 km and then takes the direction back to reach the main road. in the mean time, due to minor break down the other car has run only 35 km along the main road. what would be the distance between two cars at this point ?\nOptions: a. 65, b. 38, c. 20, d. 28, e. 21", "output": [ "c" ] }, { "id": "task1678-284f2ebbc0664903ad9c975f8457cbc8", "input": "Problem: 4 dice are thrown simultaneously on the board. find the probability show the same face ?\nOptions: a. 2 / 113, b. 1 / 215, c. 1 / 216, d. 3 / 113, e. 4 / 113", "output": [ "c" ] }, { "id": "task1678-d03216267c2349d9b3c33043ff3974c3", "input": "Problem: every disk in a bag is either blue, yellow or green. the ratio of blue disks to yellow disks to green disks in this bag is 3: 7: 8. if the total number of disks in the bag is 126, how many more green disks than blue disks are in the bag ?\nOptions: a. 25, b. 28, c. 30, d. 35, e. 40", "output": [ "d" ] }, { "id": "task1678-5d046789b61046548cd4a9ef15201f65", "input": "Problem: ben left a job paying $ 75000 per year to accept a sales job paying $ 45000 per year plus 15 percent commission. if each of his sales is for $ 750, what is the least number of sales he must make per year if he is not to lose money because of the change ?\nOptions: a. 40, b. 200, c. 266, d. 267, e. 600", "output": [ "d" ] }, { "id": "task1678-fac385a0676c4deeb329f26a3a217630", "input": "Problem: if there are 86 workers in a factory, and on a certain day, 72 were present. calculate the percentage that showed up for work ? ( round to the nearest tenth ).\nOptions: a. 82.7 %, b. 81.7 %, c. 83.7 %, d. 89.7 %, e. 88.7 %", "output": [ "c" ] }, { "id": "task1678-25cb3bc5e5db4d9fb42898ec6fa2687a", "input": "Problem: x does a work in 20 days. y does the same work in 40 days. in how many days they together will do the same work ?\nOptions: a. 10, b. 12, c. 20, d. 30, e. 13.33", "output": [ "e" ] }, { "id": "task1678-a35027e9de8943f08e5b341436a214ab", "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": "task1678-ae6d3ae74ce14a18b7f7672221ddeee6", "input": "Problem: a start walking from a place at a uniform speed of 7 kmph in a particular direction. after half an hour, b starts from the same place and walks in the same direction as a at a uniform speed and overtakes a after 1 hour 48 minutes. find the speed of b.\nOptions: a. 4.7 kmph, b. 7.6 kmph, c. 4 kmph, d. 7 kmph, e. 5.3 kmph", "output": [ "b" ] }, { "id": "task1678-00c6f69d2a2b427e8feafa9d40324e59", "input": "Problem: find large number from below question the difference of two numbers is 1355. on dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder\nOptions: a. 1235, b. 1345, c. 1678, d. 1767, e. 1623", "output": [ "e" ] }, { "id": "task1678-10adf947df1c492881e6618966b8cc31", "input": "Problem: six persons standing in queue with different age group, after two years their average age will be 43 and seventh person joined with them. hence the current average age has become 45. find the age of the 7 th person.\nOptions: a. 69, b. 70, c. 71, d. 72, e. 73", "output": [ "a" ] }, { "id": "task1678-b5da50000f2a4574889a680e00ff37c1", "input": "Problem: solve below question 2 x + 1 = - 13\nOptions: a. - 8, b. - 9, c. 9, d. 8, e. - 7", "output": [ "e" ] }, { "id": "task1678-e24586c47ef24079ba9be27a4a9bab6e", "input": "Problem: car a is 16 miles behind car b, which is traveling in the same direction along the same route as car a. car a is traveling at a constant speed of 58 miles per hour and car bis traveling at a constant speed of 50 miles per hour. how many hours will it take for car a to overtake and drive 8 miles ahead of car b ?\nOptions: a. 1.5, b. 2.0, c. 2.5, d. 3.0, e. 3.5", "output": [ "d" ] }, { "id": "task1678-8759aa7f002540fb9a800be1ed88c0f7", "input": "Problem: if x + y = 290, x - y = 200, for integers of x and y, y = ?\nOptions: a. 200, b. 245, c. 50, d. 115, e. 150", "output": [ "b" ] }, { "id": "task1678-44419ca70c894b06981f378f05356b94", "input": "Problem: for all positive integers m, [ m ] = 3 m when m is odd and [ m ] = ( 1 / 2 ) * m when m is even. what is [ 5 ] * [ 8 ] equivalent to ?\nOptions: a. [ 40 ], b. [ 60 ], c. [ 80 ], d. [ 120 ], e. [ 150 ]", "output": [ "d" ] }, { "id": "task1678-485f334c0ee448c3b31a6239049e0bb7", "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": "task1678-e1c17c9d55294ff1a45b9b8c112c9216", "input": "Problem: the bankers discount of a certain sum of money is rs. 18 and the true discount on the same sum for the same time is rs. 15. the sum due is :\nOptions: a. 89, b. 90, c. 91, d. 92, e. 93", "output": [ "b" ] }, { "id": "task1678-cc103e61927342e894b21e9357a668b7", "input": "Problem: the mean of 50 observations is 200. but later he found that there is decrements of 34 from each observations. what is the the updated mean is ?\nOptions: a. 165, b. 166, c. 190, d. 198, e. 199", "output": [ "b" ] }, { "id": "task1678-cb78c6770e7c45bbb802431a75250c4e", "input": "Problem: the sum of first 45 natural numbers is\nOptions: a. 1035, b. 1280, c. 2070, d. 2140, e. none", "output": [ "a" ] }, { "id": "task1678-5262088ce3cc4495a9fcad795f8bc211", "input": "Problem: what is the dividend. divisor 13, the quotient is 17 and the remainder is 1\nOptions: a. 222, b. 224, c. 226, d. 228, e. 230", "output": [ "a" ] }, { "id": "task1678-5c9ca3d5b8104832bab5758ff29f50e5", "input": "Problem: a man performs 3 / 5 of the total journey by rail, 17 / 20 by bus and the remaining 6.5 km on foot. his total journey is :\nOptions: a. 125 km, b. 130 km, c. 135 km, d. 140 km, e. none", "output": [ "b" ] }, { "id": "task1678-355a486bd24c4baa9ad935b125e6cce4", "input": "Problem: there are 300 female managers in a certain company. find the total number of female employees in the company, if 2 / 5 of all the employees are managers and 2 / 5 of all male employees are managers.\nOptions: a. 650, b. 700, c. 750, d. 800, e. none of these", "output": [ "c" ] }, { "id": "task1678-fe89e2b7a2cb4a219a467ec957019fd5", "input": "Problem: of the seven - digit positive integers that have no digits equal to zero, how many have two digits that are equal to each other and the remaining digit different from the other two ?\nOptions: a. 24, b. 36, c. 72, d. 152409600, e. 216", "output": [ "d" ] }, { "id": "task1678-a1633bd86a1c4200920a25b62cd5654e", "input": "Problem: the true discount on a bill of rs. 2260 is rs. 360. what is the banker ' s discount ?\nOptions: a. rs. 428, b. rs. 422, c. rs. 412, d. rs. 442, e. none of these", "output": [ "a" ] }, { "id": "task1678-e7b5517e52254ee3bd3d577bba918927", "input": "Problem: in the first 20 overs of a cricket game, the run rate was only 4.8. what should be the run rate in the remaining 30 overs to reach the target of 302 runs ?\nOptions: a. 5, b. 6.25, c. 6.75, d. 6.87, e. 7.25", "output": [ "d" ] }, { "id": "task1678-c2566f4421b44af28814fb4fd1a1a551", "input": "Problem: a trader sells 85 meters of cloth for rs. 8500 at the profit of rs. 15 per metre of cloth. what is the cost price of one metre of cloth ?\nOptions: a. rs. 80, b. rs. 85, c. rs. 90, d. rs. 95, e. none of these", "output": [ "b" ] }, { "id": "task1678-e998f72dc1b54e2f8f869a7b6ac57f89", "input": "Problem: anne bought doughnuts for a class breakfast party. she bought 9 chocolate doughnuts, 7 coconut doughnuts, and 9 jam - filled doughnuts. how many doughnuts did anne buy in all ?\nOptions: a. 25, b. 36, c. 39, d. 21, e. 11", "output": [ "a" ] }, { "id": "task1678-6138468d7d46494da4f491238906357c", "input": "Problem: the length of a rectangle i s two - fifths of the radius of a circle. the radius of the circle is equal to the side of the square, whose area is 1225 sq. units. what is the area ( in sq. units ) of the rectangle if the rectangle if the breadth is 10 units ?\nOptions: ['a. 140 sq. units', 'b. 149', 'c. 148', 'd. 17', 'e. 143']", "output": [ "a" ] }, { "id": "task1678-39d45092a65a4287bf434de65c020114", "input": "Problem: a cyclist bikes x distance at 8 miles per hour and returns over the same path at 10 miles per hour. what is the cyclist ' s average rate for the round trip in miles per hour ?\nOptions: a. 8.1, b. 8.9, c. 8.6, d. 8.3, e. 9.0", "output": [ "b" ] }, { "id": "task1678-cf87a255d5c1468ea5831bb64f797485", "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": "task1678-da5ab8c9065347638c5e315bd0f0e15a", "input": "Problem: the average weight of 25 persons sitting in a boat had some value. a new person added to them whose weight was 46 kg only. due to his arrival, the average weight of all the persons decreased by 5 kg. find the average weight of first 25 persons ?\nOptions: a. 55 kg, b. 48 kg, c. 52 kg, d. none, e. 55 kg", "output": [ "d" ] }, { "id": "task1678-79ade839931d40f6ba4ade236c3d71aa", "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": "task1678-a6e3d4c1a0b2471c93d95a775ef54943", "input": "Problem: a hexagon is formed abcdef which perimeter 36 cm. a polygon is formed by joining the points ae & bd. find the area of the polygon abde ?\nOptions: ['a. 34 √ 3 cm 2', 'b. 35 √ 3 cm 2', 'c. 36 √ 3 cm 2', 'd. 37 √ 3 cm 2', 'e. 38 √ 3 cm 2']", "output": [ "c" ] }, { "id": "task1678-01306c80301e44f0b736e97d3a7b92ca", "input": "Problem: 10, 1000, 100000, 10000000....\nOptions: a. 100, 000,000, b. 1,000, 000,000, c. 1, 000,000, 000,000, d. 100, e. 1, 000,000", "output": [ "b" ] }, { "id": "task1678-87bf2a71abd14a4d8937158cc04b6b93", "input": "Problem: an investor deposited $ 10,000 to open a new savings account that earned 12 percent annual interest, compounded quarterly. if there were no other transactions in the account, what was the amount of money in the account 6 months after the account was opened ?\nOptions: a. $ 10,300, b. $ 10,303, c. $ 10,600, d. $ 10,609, e. $ 10,900", "output": [ "d" ] }, { "id": "task1678-6ce39f58431a4bbc90a3e36dac347c53", "input": "Problem: in a survey of parents, exactly 5 / 6 of the mothers and 3 / 4 of the fathers held full - time jobs. if 40 percent of the parents surveyed were women, what percent of the parents did not hold full - time jobs ?\nOptions: a. 10 %, b. 12 %, c. 15 %, d. 18 %, e. 22 %", "output": [ "e" ] }, { "id": "task1678-3193f2a56a7e48ad9dba4869bf27270d", "input": "Problem: a company wants to spend equal amounts of money for the purchase of two types of computer printers costing $ 500 and $ 300 per unit, respectively. what is the fewest number of computer printers that the company can purchase ?\nOptions: a. 2, b. 3, c. 4, d. 6, e. 8", "output": [ "d" ] }, { "id": "task1678-476317bd681a48eb9f8a8d15b61ca52c", "input": "Problem: 212: 436: : 560: ?\nOptions: a. 786, b. 682, c. 784, d. 688, e. 622", "output": [ "c" ] }, { "id": "task1678-31be94f3f87040ddbbe2edc212d76d08", "input": "Problem: circular gears p and q start rotating at the same time at constant speeds. gear p makes 10 revolutions per minute and gear q makes 40 revolutions per minute. how many seconds after the gears start rotating will gear q have made exactly 45 more revolutions than gear p ?\nOptions: a. 45, b. 80, c. 90, d. 100, e. 120", "output": [ "c" ] }, { "id": "task1678-7aa1ce2a31534645a8a306177a4ba77d", "input": "Problem: for the symbol, m ” n = n ^ 2 − m for all values of m and n. what is the value of 6 ” 3 ?\nOptions: a. 5, b. 3, c. 2, d. 1, e. 0", "output": [ "b" ] }, { "id": "task1678-1f97408418c2449bb66e4c85b2a467df", "input": "Problem: the sides of a square region, measured to the nearest centimeter, are 4 centimeters long. the least possible value of the actual area of the square region is\nOptions: a. 15.25 sq cm, b. 18.25 sq cm, c. 12.25 sq cm, d. 21.25 sq cm, e. 25.25 sq cm", "output": [ "c" ] }, { "id": "task1678-8b5e64db5a874ab7835a267d4b704c94", "input": "Problem: what sum of money will produce rs. 80 as simple interest in 4 years at 3 1 / 2 percent ?\nOptions: a. 263, b. 571.4, c. 367, d. 368, e. 339", "output": [ "b" ] }, { "id": "task1678-77bcf0bb92ba45d3a43df4a1392f38ef", "input": "Problem: two - third of a positive number and 144 / 216 of its reciprocal are equal. the number is :\nOptions: a. 5 / 12, b. 12 / 5, c. 25 / 144, d. 144 / 25, e. 1", "output": [ "e" ] }, { "id": "task1678-8e05ebc6e9c54e1f805b515640047306", "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": "task1678-f477886787ad48b3bfe98cfd9de6fdbd", "input": "Problem: after 6 games, team b had an average of 70 points per game. if it got only 47 points in game 7, how many more points does it need to score to get its total above 500 ?\nOptions: a. 85, b. 74, c. 67, d. 33, e. 28", "output": [ "d" ] }, { "id": "task1678-612bc81446ac4507a9e246fdd889561f", "input": "Problem: if a ' s height is 40 % less than that of b, how much percent b ' s height is more than that of a ?\nOptions: a. 66.66 %, b. 66.68 %, c. 66.766 %, d. 86.66 %, e. 66.65 %", "output": [ "a" ] }, { "id": "task1678-d6e248f1eaa1456fbf269fac892e4a46", "input": "Problem: how long will a boy take to run round a square field of side 35 meters, if he runs at the rate of 9 km / hr ?\nOptions: a. 22, b. 38, c. 37, d. 56, e. 28", "output": [ "d" ] }, { "id": "task1678-8d514412ff3744ab8fa078fcb807294f", "input": "Problem: a man sold 20 articles for $ 60 and gained 20 %. how many articles should he sell for $ 40 to incur a loss 20 % ?\nOptions: a. 20, b. 36, c. 40, d. 50, e. 48", "output": [ "a" ] }, { "id": "task1678-16b1b4102e0b4374809bfd1c85cf7be8", "input": "Problem: if two positive numbers are in the ratio 1 / 7: 1 / 4, then by what percent is the second number more than the first ?\nOptions: a. 67 %., b. 70 %., c. 75 %., d. 68 %., e. 80 %.", "output": [ "c" ] }, { "id": "task1678-8d6fd7f540e24c3b8f59e01bef90d563", "input": "Problem: a certain library assesses fines for overdue books as follows. on the first day that a book is overdue, the total fine is $ 0.09. for each additional day that the book is overdue, the total fine is either increased by $ 0.30 or doubled, whichever results in the lesser amount. what is the total for a book on the fourth day it is overdue ?\nOptions: a. $ 0.66, b. $ 0.70, c. $ 0.80, d. $ 0.90, e. $ 1.00", "output": [ "a" ] }, { "id": "task1678-5ae452d7bf27484b8b7f7f90cee3370c", "input": "Problem: what is the sum of the numbers between 1 and 14, inclusive ?\nOptions: a. 105, b. 110, c. 125, d. 150, e. 160", "output": [ "a" ] }, { "id": "task1678-f65ec067ee1b47399883744de90a12e3", "input": "Problem: how many prime numbers are between 25 / 3 and 84 / 6 ?\nOptions: a. 1, b. 2, c. 3, d. 4, e. 5", "output": [ "b" ] }, { "id": "task1678-f194d619cf2c464fbc0bb7a819d667bb", "input": "Problem: a company wants to spend equal amounts of money for the purchase of two types of computer printers costing $ 400 and $ 350 per unit, respectively. what is the fewest number of computer printers that the company can purchase ?\nOptions: a. 11, b. 13, c. 15, d. 17, e. 19", "output": [ "c" ] }, { "id": "task1678-9ae72299fd8a439494126170f516845c", "input": "Problem: if 13 = 13 w / ( 1 - w ), then ( 6 w ) 2 =\nOptions: a. 1 / 4, b. 1 / 2, c. 1, d. 2, e. 6", "output": [ "e" ] }, { "id": "task1678-845a7761700b4784aae16529c209ea8b", "input": "Problem: a man can row upstream at 25 kmph and downstream at 55 kmph, and then find the speed of the man in still water ?\nOptions: a. 65, b. 40, c. 30, d. 78, e. 38", "output": [ "b" ] }, { "id": "task1678-b215359969bb4f0785853c4ee056daeb", "input": "Problem: in a room filled with 6 people, all 6 people have exactly 2 siblings in the room. if two individuals are selected from the room at random, what is the probability that those two individuals are not siblings ?\nOptions: a. 3 / 5, b. 3 / 7, c. 4 / 7, d. 5 / 6, e. 7 / 12", "output": [ "a" ] }, { "id": "task1678-42a01eeaa68e4157879c782da153518b", "input": "Problem: what will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is rs. 60 ?\nOptions: a. s. 3944, b. s. 3948, c. s. 4080, d. s. 3965, e. s. 3929", "output": [ "c" ] }, { "id": "task1678-5a951e8c5591469288ac185f0ade848d", "input": "Problem: two trains, one from howrah to patna and the other from patna to howrah, start simultaneously. after they meet, the trains reach their destinations after 32 hours and 16 hours respectively. the ratio of their speeds is\nOptions: a. 4: 9, b. 4: 3, c. 4: 12, d. 1: 2, e. 4: 5", "output": [ "d" ] }, { "id": "task1678-6174038f738a49099cc08c6566cd0496", "input": "Problem: an electrical appliances store sold this month 400 % more than the average of all the other months in the year. the sales total for this month was approximately what percent of total sales for this year ?\nOptions: a. 14 %, b. 21 %., c. 31 %., d. 37 %., e. 43 %.", "output": [ "b" ] }, { "id": "task1678-eaeb2ef6b4394190b9b91c08214da3c6", "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": "task1678-fa6308a78f124a91b076771fe8728ae7", "input": "Problem: two bike riders ride in opposite directions around a circular track, starting at the same time from the same point. biker a rides at a speed of 16 kmph and biker b rides at a speed of 14 kmph. if the track has a diameter of 40 km, after how much time ( in hours ) will the two bikers meet ?\nOptions: a. 8.18 hrs., b. 6.18 hrs., c. 4.18 hrs., d. 1.18 hrs., e. 7.18 hrs.", "output": [ "c" ] }, { "id": "task1678-f329ffb627f44dfab99727bffa104a1f", "input": "Problem: a cistern 12 m long and 14 m wide contains water up to a depth of 1 m 25 cm. the total area of the wet surface is :\nOptions: a. 224 m 2, b. 250 m 2, c. 220 m 2, d. 230 m 2, e. 233 m 2", "output": [ "e" ] }, { "id": "task1678-96070889f20e422286f1b0d61d127eef", "input": "Problem: if a / b = 1 / 3, b / c = 2, c / d = 1 / 2, d / e = 3 and e / f = 1 / 10, then what is the value of abc / def ?\nOptions: a. 27 / 4, b. 27 / 8, c. 3 / 4, d. 3 / 20, e. 1 / 4", "output": [ "d" ] }, { "id": "task1678-599f97e27cdb4d8b93b441af805d0d36", "input": "Problem: john and david can finish a job together in 2 hours. if john can do the job by himself in 3 hours, what percent of the job does david do ?\nOptions: a. 36.33 %, b. 33.33 %, c. 39.33 %, d. 40.33 %, e. 33 %", "output": [ "b" ] }, { "id": "task1678-4df423b1cff544b893481f1c7e466087", "input": "Problem: find the compound interest on $ 10000 in 2 years at 4 % per annum, the interest being compounded half - yearly ?\nOptions: a. $ 645.56, b. $ 824.32, c. $ 954.26, d. $ 745.69, e. $ 1020.45", "output": [ "b" ] }, { "id": "task1678-c33ca83d1c8648b783b5b98fbaea4065", "input": "Problem: if a = 105 and a ^ 3 = 21 × 25 × 45 × z, what is the value of z ?\nOptions: a. 35, b. 42, c. 45, d. 49, e. 54", "output": [ "d" ] }, { "id": "task1678-84b99dd46b1e42059a6db4408a59ad29", "input": "Problem: if the cost price of 50 articles is equal to the selling price of 45 articles, then the gain or loss percent is ?\nOptions: a. 11.11, b. 65, c. 78, d. 33, e. 25", "output": [ "a" ] }, { "id": "task1678-ca9385b9aed044d7957d6df58b7b9a20", "input": "Problem: the area of one square is x ^ 2 + 6 x + 9 and the area of another square is 4 x ^ 2 − 28 x + 49. if the sum of the perimeters of both squares is 56, what is the value of x ?\nOptions: a. 3, b. 4, c. 5, d. 6, e. 7", "output": [ "d" ] }, { "id": "task1678-470c35698faa4a8ca061460871c1c103", "input": "Problem: a train moves with a speed of 162 kmph. its speed in metres per second is\nOptions: a. 10.8, b. 18, c. 30, d. 38.8, e. 45", "output": [ "e" ] }, { "id": "task1678-9c566de6d2b442d69526bf873155f660", "input": "Problem: which number should replace both the asterisks in ( * / 20 ) x ( * / 80 ) = 1 ?\nOptions: a. 20, b. 40, c. 60, d. 80, e. 120", "output": [ "b" ] }, { "id": "task1678-5dabeb1739d04131a4bfae0d8f41ceea", "input": "Problem: two trains of equal length, running with the speeds of 60 and 90 kmph, take 50 seconds to cross each other while they are running in the same direction. what time will they take to cross each other if they are running in opposite directions ?\nOptions: a. 3.2, b. 2.6, c. 6.6, d. 32.2, e. 42.2", "output": [ "c" ] }, { "id": "task1678-57d1b12386c54f218c733ffd36eeb665", "input": "Problem: a couple spent $ 211.20 in total while dining out and paid this amount using a credit card. the $ 211.20 figure included a 20 percent tip which was paid on top of the price which already included a sales tax of 10 percent on top of the price of the food. what was the actual price of the food before tax and tip ?\nOptions: a. $ 120, b. $ 140, c. $ 150, d. $ 160, e. $ 180", "output": [ "d" ] }, { "id": "task1678-bb669bedbc154e27b590e0703209c4a4", "input": "Problem: at a school, 3 - fifths of the male students and two - thirds of the female students speak a foreign language. if the number of males is equal to the number of females, what fraction of the students speak a foreign language ?\nOptions: a. 17 / 30, b. 19 / 30, c. 11 / 15, d. 7 / 15, e. 2 / 5", "output": [ "b" ] }, { "id": "task1678-b06aa894da5c4390990ca3b352d517ff", "input": "Problem: 11 + 12 + 13 +... 51 + 52 = ?\nOptions: a. 1361, b. 1362, c. 1323, d. 1364, e. 1365", "output": [ "c" ] }, { "id": "task1678-cb2a3df5cba44c9baff58c1e933c57f4", "input": "Problem: it is currently 7: 05 pm. what time was it in the morning exactly 51,132 minutes ago ?\nOptions: a. 6: 53, b. 6: 55, c. 6: 59, d. 7: 03, e. 7: 09", "output": [ "a" ] }, { "id": "task1678-18d6268df64643df880e42ebf0c4d1dd", "input": "Problem: the time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. if the speed of the boat in still water is 60 kmph, find the speed of the stream ?\nOptions: a. 18 kmph, b. 19 kmph, c. 21 kmph, d. 22 kmph, e. 20 kmph", "output": [ "e" ] }, { "id": "task1678-ca6e53fbb8f7457ebb02933d93ffbcbf", "input": "Problem: a contractor undertook to do a piece of work in 18 days. he employed certain number of laboures but 9 of them were absent from the very first day and the rest could finish the work in only 6 days. find the number of men originally employed ?\nOptions: a. 3.5, b. 4, c. 4.5, d. 4.2, e. 4.3", "output": [ "c" ] }, { "id": "task1678-84c72ccf43364c9da4451bb3ccd4a919", "input": "Problem: the length of a rectangular plot is thrice its width. if the area of the rectangular plot is 432 sq meters, then what is the width ( in meters ) of the rectangular plot ?\nOptions: ['a. 10', 'b. 11', 'c. 12', 'd. 13', 'e. 14']", "output": [ "c" ] }, { "id": "task1678-edcccd31c49e4e4e8ffa460e4c2166e7", "input": "Problem: a certain car uses 12 gallons of gasoline in traveling 120 miles. in order for the car to travel the same distance using 10 gallons of gasoline, by how many miles per gallon must the car ’ s gas mileage be increased ?\nOptions: a. 2, b. 4, c. 6, d. 8, e. 10", "output": [ "a" ] }, { "id": "task1678-37890e6e7b6940c2aa04e96d8122e15d", "input": "Problem: the captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. if the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. find out the average age of the team.\nOptions: a. 20, b. 21, c. 22, d. 23, e. 25", "output": [ "d" ] }, { "id": "task1678-a8cab46f99cc4dbcaceb71538f0b55cf", "input": "Problem: a box contains 7 pairs of shoes ( 14 shoes in total ). if two shoes are selected at random, what it is the probability that they are matching shoes ?\nOptions: a. 1 / 190, b. 1 / 20, c. 1 / 19, d. 1 / 13, e. 1 / 9", "output": [ "d" ] }, { "id": "task1678-240b951539ea4f46a909c702a4710d10", "input": "Problem: a man can row at 5 kmph in still water. if the velocity of current is 1 kmph and it takes him 2 hour to row to a place and come back, how far is the place ?\nOptions: a. 2.4 km, b. 4.8 km, c. 3.4 km, d. 4.4 km, e. 5.6 km", "output": [ "b" ] }, { "id": "task1678-2df0884d0519444a87222c45644fd62f", "input": "Problem: when positive integer x is divided by positive integer y, the remainder is 3. if x / y = 96.12, what is the value of y ?\nOptions: a. 96, b. 75, c. 48, d. 25, e. 12", "output": [ "d" ] }, { "id": "task1678-de52c10e7f414cd89891fe621e766f77", "input": "Problem: twelve machines, each working at the same constant rate, together can complete a certain job in 6 days. how many additional machines, each working at the same constant rate, will be needed to complete the job in 3 days ?\nOptions: a. 14, b. 12, c. 15, d. 16, e. 18", "output": [ "b" ] }, { "id": "task1678-4c0ff45f3d214734b1a622928d5252c8", "input": "Problem: if 2 + 3 = 13; 3 + 5 = 31; 5 + 7 = 59, then 7 + 9 = ?\nOptions: a. 95, b. 86, c. 67, d. 98, e. 89", "output": [ "a" ] }, { "id": "task1678-b41d4b928475412084fce61e5ac83ce0", "input": "Problem: if john makes a contribution to a charity fund at school, the average contribution size will increase by 50 % reaching $ 75 per person. if there were 1 other contributions made before john ' s, what is the size of his donation ?\nOptions: a. $ 100, b. $ 150, c. $ 200, d. $ 250, e. $ 450", "output": [ "a" ] }, { "id": "task1678-5b59582065a4470b909e85145aa9ac39", "input": "Problem: 15 men can complete a work in 10 days while 20 boys can complete the same work in 15 days. how many days will 10 men and 10 boys together take to complete the same work\nOptions: a. 9 days, b. 10 days, c. 11 days, d. 12 days, e. 13 days", "output": [ "b" ] }, { "id": "task1678-f0cf1a51ebc947fc8dc6825481cf1e4b", "input": "Problem: a rectangular tiled patio is composed of 96 square tiles. the rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles. after the change in layout, the patio will still have 96 tiles, and it will still be rectangular. how many rows are in the tile patio before the change in layout ?\nOptions: a. 5, b. 6, c. 8, d. 13, e. 28", "output": [ "c" ] }, { "id": "task1678-ff53bd2964e14756884559a5edab169e", "input": "Problem: what is 78 % of 4 / 5 ?\nOptions: a. 6.9, b. 69.0, c. 0.6845, d. 0.624, e. 0.69", "output": [ "d" ] }, { "id": "task1678-1c54bf8890974e6abb8e44b75c3742b8", "input": "Problem: find the area of a parallelogram with base 12 cm and height 48 cm ?\nOptions: a. 122 cm 2, b. 576 cm 2, c. 246 cm 2, d. 42 cm 2, e. 39 cm 2", "output": [ "b" ] }, { "id": "task1678-5766778dcf454b03970887763801ddc7", "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": "task1678-4b4f4b7908244d7cbfb849f901df0f53", "input": "Problem: a vendor buys 10 t - shirts at an average price of $ 14 per t - shirt. he then buys 15 more t - shirts at an average price of $ 11 per t - shirt. what is the average price q per t - shirt that the vendor paid for these purchases ?\nOptions: a. $ 12.20, b. $ 12.50, c. $ 12.55, d. $ 12.70, e. $ 13.00", "output": [ "a" ] }, { "id": "task1678-a4490b1e4cc64f68bce1b99f2f8b4d31", "input": "Problem: excluding the stoppages, the speed of a bus is 48 km / hr and including the stoppages the speed of the bus is 12 km / hr. for how many minutes does the bus stop per hour ?\nOptions: a. 45 min, b. 10 min, c. 12 min, d. 20 min, e. 18 min", "output": [ "a" ] }, { "id": "task1678-8581be9de41b48e5b2e76f131ad4c2cf", "input": "Problem: a furniture dealer purchased a desk for $ 120 and then set the selling price equal to the purchase price plus a markup that was 40 % of the selling price. if the dealer sold the desk at the selling price, what was the amount of the dealer ' s gross profit from the purchase and the sale of the desk ?\nOptions: a. $ 40, b. $ 60, c. $ 80, d. $ 90, e. $ 100", "output": [ "a" ] }, { "id": "task1678-8f676813b21e4f6c85b2ef0a77439745", "input": "Problem: there are 15 boys and 10 girls in a class. if three students are selected at random, in how many ways that 1 girl or 2 boys are selected ?\nOptions: a. 100, b. 105, c. 115, d. 120, e. 125", "output": [ "c" ] }, { "id": "task1678-355967c9b8534ac7a05c9eb3d214f1ea", "input": "Problem: the area of the square formed on the diagonal of a rectangle as its side is 108 1 / 3 % more than the area of the rectangle. if the perimeter of the rectangle is 28 units, find the difference between the sides of the rectangle ?\nOptions: ['a. 5', 'b. 4', 'c. 7', 'd. 2', 'e. 1']", "output": [ "d" ] }, { "id": "task1678-b212b8713a7e4601add4b13147ecdf70", "input": "Problem: for what value of x between − 9 and 9, inclusive, is the value of x ^ 2 − 10 x + 16 the greatest ?\nOptions: a. − 9, b. − 2, c. 0, d. 2, e. 9", "output": [ "a" ] }, { "id": "task1678-0639fd3433424b5291ced323db512a51", "input": "Problem: the owner of a furniture shop charges his customer 10 % more than the cost price. if a customer paid rs. 8800 for a computer table, then what was the cost price of the computer table ?\nOptions: a. rs. 6725, b. rs. 6727, c. rs. 8000, d. rs. 6725, e. rs. 6728", "output": [ "c" ] }, { "id": "task1678-82db2371d6a743f4b16405cd76f78fc8", "input": "Problem: if sharon ' s weekly salary increased by 16 percent, she would earn $ 348 per week. if instead, her weekly salary were to increase by 15 percent, how much would she earn per week ?\nOptions: a. $ 374, b. $ 382, c. $ 345, d. $ 392, e. $ 399", "output": [ "c" ] }, { "id": "task1678-d0e15c46f6314d58b151debade1be619", "input": "Problem: the average monthly salary of 8 workers and one supervisor in a factory was 430. @ sswhen @ ssthe @ sssupervisor @ cc @ sswhose @ sssalary @ sswas @ ss 430. @ sswhen @ ssthe @ sssupervisor @ cc @ sswhose @ sssalary @ sswas @ ss 430. whenthesupervisor, whosesalarywas 430. when the supervisor, whose salary was 870 per month, retired, a new person was appointed and then the average salary of 9 people was $ $ 440 per month. the salary of the new supervisor is :\nOptions: a. 233, b. 960, c. 287, d. 771, e. 191", "output": [ "b" ] }, { "id": "task1678-bd87f8ff0da34185a972e71ebd12e9a3", "input": "Problem: if ( m - 8 ) is a factor of m ^ 2 - hm - 24, then h =\nOptions: a. 3, b. 5, c. 6, d. 11, e. 16", "output": [ "b" ] }, { "id": "task1678-ea250784ffb74206aeed665f3ee97d33", "input": "Problem: if the average of 5 x and 8 y is greater than 90, and x is twice y, what is the least integer value of x ?\nOptions: a. 4, b. 5, c. 20, d. 21, e. 23", "output": [ "a" ] }, { "id": "task1678-8b14da86ea2e4b1c9771dd2287b4aaf2", "input": "Problem: how many three - element subsets of { 1,2, 3,4 } are there that do not contain the pair of elements 2 and 4 ?\nOptions: a. 1, b. 2, c. 3, d. 4, e. 5", "output": [ "b" ] }, { "id": "task1678-b131417bbf2741f6a0504cb810c7957f", "input": "Problem: the length of the bridge, which a train 500 metres long and travelling at 42 km / hr can cross in 60 seconds, is ?\nOptions: a. 100 m, b. 200 m, c. 300 m, d. 250 m, e. 350 m", "output": [ "b" ] }, { "id": "task1678-312ee6cd5b6842a5882854fdf32761a3", "input": "Problem: a bowl contains equal numbers of red, orange, green, blue, and yellow candies. kaz eats all of the green candies and half of the orange ones. next, he eats half of the remaining pieces of each color. finally, he eats red and yellow candies in equal proportions until the total number of remaining candies of all colors equals 20 % of the original number. what percent of the red candies remain ?\nOptions: a. 5 %, b. 7.5 %, c. 10 %, d. 12.5 %, e. 15 %", "output": [ "d" ] }, { "id": "task1678-15108505b2b84442b5adafb6be89c777", "input": "Problem: there is 60 % increase in an amount in 6 years at si. what will be the ci of rs. 12,000 after 3 years at the same rate ?\nOptions: a. 2372, b. 2572, c. 4542, d. 2343, e. 3972", "output": [ "e" ] }, { "id": "task1678-e1f11f68c06540d5a77c44d65811a21d", "input": "Problem: a man bought 40 shares of rs. 80 at 5 discount, the rate of dividend being 12 1 / 2 % the rate of interest obtained is\nOptions: a. 13.33 %, b. 15.5 %, c. 14 %, d. 14.25 %, e. 14.95 %", "output": [ "a" ] }, { "id": "task1678-656674eecd88497a88ce1a102f43c84e", "input": "Problem: the average of 2, 76 and x is 5. find the value of x ?\nOptions: a. 10, b. 8, c. 12, d. 15, e. 5", "output": [ "e" ] }, { "id": "task1678-101ca75d067847ea8b2394e842e27537", "input": "Problem: a car averages 65 mph for the first 5 hours of a trip and averages 75 mph for each additional hour. the average speed for the entire trip was 60 mph. how many hours long is the trip ?\nOptions: a. 9, b. 8, c. 7, d. 6, e. 5", "output": [ "a" ] }, { "id": "task1678-63477b03f50941e5b19e1cf45eb0d7bf", "input": "Problem: if y > 0, ( 6 y ) / 20 + ( 3 y ) / 10 is what percent of y ?\nOptions: a. 40 %, b. 50 %, c. 60 %, d. 70 %, e. 80 %", "output": [ "c" ] }, { "id": "task1678-4f34c1df6caf47ddb5826a617efbf707", "input": "Problem: if the number is divided by 3, it reduced by 36. the number is\nOptions: a. a. 51, b. b. 50, c. c. 45, d. d. 54, e. e. 36", "output": [ "d" ] }, { "id": "task1678-d4f10dea095140ebb1ed4a3bda5ffd29", "input": "Problem: 8 men can do a piece of work in 12 days. 4 women can do it in 48 days and 10 children can do it in 24 days. in how many days can 10 men, 4 women and 30 children together complete the piece of work ?\nOptions: a. 5 days, b. 15 days, c. 28 days, d. 4 days, e. 7 days", "output": [ "d" ] }, { "id": "task1678-15439455b8b54bf09d7fc7068c69e17a", "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": "task1678-069d8c0e80e9484f86e117480ca9e83a", "input": "Problem: the speed of a boat in still water in 30 km / hr and the rate of current is 7 km / hr. the distance travelled downstream in 36 minutes is :\nOptions: a. 18.4 km, b. 20.6 km, c. 21.4 km, d. 1111 km, e. 22.2 km", "output": [ "e" ] }, { "id": "task1678-90f1bc631a7d41558f6e6a17f6323cb5", "input": "Problem: 39 persons can repair a road in 12 days, working 5 hours a day. in how many days will 30 persons, working 3 hours a day, complete the work ?\nOptions: a. 10, b. 26, c. 14, d. 15, e. 16", "output": [ "b" ] }, { "id": "task1678-f0dd97b3831244109eb80eaf6be302ee", "input": "Problem: in what time will two trains cross each other completely, which are running on the same parallel lines in opposite directions, each train running with a speed of 90 kmph being 160 m and 140 m in length respectively ?\nOptions: a. 5.6 sec, b. 6.2 sec, c. 6.0 sec, d. 7.2 sec, e. 6.8 sec", "output": [ "c" ] }, { "id": "task1678-b778755493374c1da46c631fe7de2e0a", "input": "Problem: cole drove from home to work at an average speed of 80 kmh. he then returned home at an average speed of 120 kmh. if the round trip took a total of 2 hours, how many minutes did it take cole to drive to work ?\nOptions: a. 66, b. 70, c. 72, d. 75, e. 78", "output": [ "c" ] }, { "id": "task1678-4fb623dac2f04b8c9bbbf938915e5603", "input": "Problem: the total number of plums that grow during each year on a certain plum tree is equal to the number of plums that grew during the previous year, less the age of the tree in years ( rounded down to the nearest integer ). during its 2 nd year, the plum tree grew 50 plums. if this trend continues, how many plums will it grow during its 6 th year ?\nOptions: a. 36, b. 38, c. 40, d. 42, e. 48", "output": [ "a" ] }, { "id": "task1678-7cee53a5a4204199b7c70cf9ba9d9d4c", "input": "Problem: a trader mixes 80 kg of tea at 15 per kg with 20 kg of tea at cost price of 20 per kg. in order to earn a profit of 25 %, what should be the sale price of the mixed tea ?\nOptions: a. 23.75, b. 22, c. 20, d. 19.20, e. none of these", "output": [ "c" ] }, { "id": "task1678-408575f1dda94007b5d5f9d9a99cbed0", "input": "Problem: pipe a fills a tank of capacity 800 liters at the rate of 40 liters a minute. another pipe b fills the same tank at the rate of 30 liters a minute. a pipe at the bottom of the tank drains the tank at the rate of 20 liters a minute. if pipe a is kept open for a minute and then closed and pipe b is open for a minute and then closed and then pipe c is open for a minute and then closed and the cycle is repeated, when will the tank be full ?\nOptions: a. 48 minutes, b. 14 minutes, c. 39 minutes, d. 40 minutes 20 seconds, e. none of these", "output": [ "a" ] }, { "id": "task1678-a1b2c1d66cb845229722fb0b5e0e50cf", "input": "Problem: in a dairy farm, 20 cows eat 10 bags of husk in 40 days. in how many days one cow will eat one bag of husk ?\nOptions: a. 20, b. 40, c. 80, d. 30, e. 60", "output": [ "c" ] }, { "id": "task1678-441e8e81e6b345d8a939948dfc683e3e", "input": "Problem: if w / x = 1 / 3 and w / y = 3 / 4, then ( x + y ) / y =\nOptions: a. 13 / 4, b. 6 / 5, c. 7 / 5, d. 8 / 5, e. 9 / 5", "output": [ "a" ] }, { "id": "task1678-15d261fa7e9d45aca3d426819d36d88e", "input": "Problem: the speed of a boat in still water is 15 km / hr and the rate of current is 3 km / hr. the distance travelled downstream in 24 minutes is\nOptions: a. 17.2 km, b. 7.2 km, c. 7.6 km, d. 17.6 km, e. 27.2 km", "output": [ "b" ] }, { "id": "task1678-b0dd514ed3ef4d3694ba0242a748bf15", "input": "Problem: a man is 20 years older than his son. in two years, his age will be twice the age of his son. the present age of the son is ?\nOptions: a. 11, b. 25, c. 27, d. 18, e. 91", "output": [ "d" ] }, { "id": "task1678-a8a3e7935e1f4439a5dc8719f65446c6", "input": "Problem: a gardener grows cabbages in her garden that is in the shape of a square. each cabbage takes 1 square feet of area in her garden. this year, she has increased her output by 193 cabbages as compared to last year. the shape of the area used for growing the cabbages has remained a square in both these years. how many cabbages did she produce this year ?\nOptions: a. 8,208, b. 9,409, c. 11,424, d. 12,586, e. can not be determined", "output": [ "b" ] }, { "id": "task1678-7c9a0bf2aedd4a28a8b5505233935551", "input": "Problem: a shopkeeper sold an article for rs 2564.36. approximately what was his profit percent if the cost price of the article was rs 2400\nOptions: a. 4 %, b. 5 %, c. 6 %, d. 7 %, e. 8 %", "output": [ "d" ] }, { "id": "task1678-fab3cba79d6a41daaf655fcb855ca056", "input": "Problem: if d is the smallest positive integer such that 3150 multiplied by d is the square of an integer, then d must be\nOptions: a. 2, b. 5, c. 6, d. 7, e. 14", "output": [ "e" ] }, { "id": "task1678-af94bb70762b4d49afeddb06bf287c7f", "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": "task1678-578b8dafd5124372a23d8750fa5b2515", "input": "Problem: excluding the stoppages, the speed of a bus is 12 km / hr and including the stoppages the speed of the bus is 6 km / hr. for how many minutes does the bus stop per hour ?\nOptions: a. 15 min, b. 30 min, c. 12 min, d. 20 min, e. 18 min", "output": [ "b" ] }, { "id": "task1678-c9aa8ebd426b40089979a281348f1e39", "input": "Problem: the diameter of the driving wheel of a bus in 140 cm. how many revolutions per minute must the wheel make in order to keep a speed of 14 kmph ?\nOptions: a. 53.03, b. 50.01, c. 23.23, d. 24.23, e. 41.23", "output": [ "a" ] }, { "id": "task1678-ad5353bb2bbf4bb8b028fda7dc9ca2b4", "input": "Problem: in a park there are two ponds with both brown ducks and green ducks. in the smaller pond there are 45 ducks and in the larger pond there are 55 ducks. if 20 % of the ducks in the smaller pond are green and 40 % of the ducks in the larger pond are green, then what percentage of ducks are green ?\nOptions: a. 25 %, b. 27 %, c. 29 %, d. 31 %, e. 33 %", "output": [ "d" ] }, { "id": "task1678-1ec8de3c8136426d9e34f9c31e485ec9", "input": "Problem: rice weighing 35 / 2 pounds was divided equally and placed in 4 containers. how many ounces of rice were in each container ? ( note that 1 pound = 16 ounces )\nOptions: a. 40, b. 50, c. 60, d. 70, e. 80", "output": [ "d" ] }, { "id": "task1678-c6c9d4f8a70c48a385f1e2c882800073", "input": "Problem: what is the sum of the greatest common factor and the lowest common multiple of 12 and 48 ?\nOptions: a. 20, b. 60, c. 40, d. 56, e. 20", "output": [ "b" ] }, { "id": "task1678-4c34a7881bf94bb39947eeb023433f2d", "input": "Problem: a hat company ships its hats, individually wrapped, in 8 - inch by 10 - inch by 12 - inch boxes. each hat is valued at $ 10. if the company ’ s latest order required a truck with at least 288,000 cubic inches of storage space in which to ship the hats in their boxes, what was the minimum value of the order ?\nOptions: a. $ 3000, b. $ 1,350, c. $ 1,725, d. $ 2,050, e. $ 2,250", "output": [ "a" ] }, { "id": "task1678-c222a4350d624904b9ce2be9a18b3857", "input": "Problem: ashok secured average of 74 marks in 6 subjects. if the average of marks in 5 subjects is 74, how many marks did he secure in the 6 th subject ?\nOptions: a. 66, b. 74, c. 78, d. 80, e. none of these", "output": [ "b" ] }, { "id": "task1678-983ea7e0981c48c3b7cad1e4f796e245", "input": "Problem: susan made a block with small cubes of 5 cubic cm volume to make a block 7 small cubes long, 7 small cubes wide and 6 small cubes deep. she realise that she has used more small cubes than she really needed. she realised that she could have glued a fewer number of cubes together ot look like a block with same dimensions, if it were made\nOptions: ['a. 194', 'b. 195', 'c. 196', 'd. 197', 'e. 198']", "output": [ "a" ] }, { "id": "task1678-581170995d0446cca486c1ef6fd7ec74", "input": "Problem: in a dairy farm, 55 cows eat 55 bags of husk in 55 days. in how many days one cow will eat one bag of husk ?\nOptions: a. 34 days, b. 40 days, c. 46 days, d. 50 days, e. 55 days", "output": [ "e" ] }, { "id": "task1678-00f1191142af4a3c9c774395cbbded7e", "input": "Problem: today joelle opened an interest - bearing savings account and deposited $ 10,000. if the annual interest rate is 5 percent compounded interest, and she neither deposits nor withdraws money for exactly 2 years, how much money will she have in the account ?\nOptions: a. $ 12025, b. $ 11075, c. $ 11025, d. $ 11095, e. $ 11015", "output": [ "c" ] }, { "id": "task1678-2ebcc928895f414fb147d840b9c6cbb4", "input": "Problem: what is the prime factors ’ number of 18 ?\nOptions: a. 2, b. 3, c. 4, d. 5, e. 6", "output": [ "b" ] }, { "id": "task1678-23184a65783d43aaafb4b0bfd8d03457", "input": "Problem: a sum of money at simple interest amounts to $ 645 in 3 years and to $ 690 in 4 years. the sum is :\nOptions: a. $ 153, b. $ 510, c. $ 598, d. $ 549, e. $ 675", "output": [ "b" ] }, { "id": "task1678-bed7cd8d44f44054b0a619b5d4eb4ac4", "input": "Problem: john and david can finish a job together in 4 hours. if john can do the job by himself in 5 hours, what percent of the job does david do ?\nOptions: a. 20 %, b. 25 %, c. 24 %, d. 23 %, e. 22 %", "output": [ "a" ] }, { "id": "task1678-02569d99ab73466b9ec113fd483caf71", "input": "Problem: a tank is filled in 10 hours by 3 pipes a, b and c. the pipe c is twice as fast as b and b is twice as fast as a. how much time will pipe a alone take to fill the tank ?\nOptions: a. 70 hours, b. 30 hours, c. 35 hours, d. 50 hours, e. 60 hours", "output": [ "a" ] }, { "id": "task1678-3f5862f9bf8f4600b53fd59abb6b364c", "input": "Problem: in a certain production lot, 40 percent of the toys are red and the remaining toys are green. half of toys are small and half are large. if 10 percent of the toys are red and small, and 40 toys are green and large. how many of the toys are red and large ?\nOptions: a. 40, b. 60, c. 70, d. 80, e. 90", "output": [ "b" ] }, { "id": "task1678-9ba5e55f2ae742018797a56275990010", "input": "Problem: if 4 ( p ' s capital ) = 6 ( q ' s capital ) = 10 ( r ' s capital ), then out of the total profit of rs 4030, r will receive\nOptions: a. 600, b. 780, c. 800, d. 900, e. none of these", "output": [ "b" ] }, { "id": "task1678-19d47eb96d4e47b19b2229a815f41033", "input": "Problem: a train 150 m long is running with a speed of 68 kmph. in what time will it pass a man who is running at 8 kmph in the same direction in which the train is going ?\nOptions: a. 5 seconds, b. 6 seconds, c. 9 seconds, d. 8 seconds, e. 7 seconds", "output": [ "c" ] }, { "id": "task1678-f813673cc8464671807c8a4b6f7e435d", "input": "Problem: mark and ann together were allocated n boxes of cookies to sell for a club project. mark sold 11 boxes less than n and ann sold 2 boxes less than n. if mark and ann have each sold at least one box of cookies, but together they have sold less than n boxes, what is the value of n ?\nOptions: a. 10, b. 11, c. 12, d. 13, e. 14", "output": [ "c" ] }, { "id": "task1678-644de4f72280450a8fd7a1eae87f8f01", "input": "Problem: in a forest 10 rabbits were caught, tagged with electronic markers, then released. a month later, 10 rabbits were captured in the same forest. of these 10 rabbits, it was found that 2 had been tagged with the electronic markers. if the percentage of tagged rabbits in the second sample approximates the percentage of tagged rabbits in the forest, and if no rabbits had either left or entered the forest over the preceding month, what is the approximate number of rabbits in the forest ?\nOptions: a. 150, b. 70, c. 50, d. 1500, e. 500", "output": [ "c" ] }, { "id": "task1678-4cb60b3530b14697b780d5f67777fd44", "input": "Problem: a man ' s speed with the current is 18 km / hr and the speed of the current is 2.5 km / hr. the man ' s speed against the current is ?\nOptions: a. 10, b. 18, c. 50, d. 30, e. 40", "output": [ "b" ] }, { "id": "task1678-2207b31a742c4ca3b88f73d1534bbf68", "input": "Problem: train a leaves the station traveling at 30 miles per hour. two hours later train в leaves the same station traveling in the same direction at 45 miles per hour. how many miles from the station was train a overtaken by train b ?\nOptions: a. 100, b. 120, c. 140, d. 160, e. 180", "output": [ "e" ] }, { "id": "task1678-ebc8b48735654625a283e756ec439610", "input": "Problem: if a is a positive integer, and if the units digit of a ^ 2 is 9 and the units digit of ( a + 1 ) ^ 2 is 4, what is the units g digit of ( a + 2 ) ^ 2 ?\nOptions: a. 1, b. 3, c. 5, d. 6, e. c. 14", "output": [ "a" ] }, { "id": "task1678-e3501ea5cc7b4ceaa2575fc658eef310", "input": "Problem: a distributor sells a product through an on - line store, which take a commission of 20 % of the price set by the distributor. the distributor obtains the product from a producer at the price of $ 15 per item. what is the price that the buyer observers on - line if the distributor wants to maintain a 30 % profit on the cost of the item ?\nOptions: a. 18, b. 21.6, c. 22, d. 25.7, e. 27", "output": [ "d" ] }, { "id": "task1678-91f5a6c843b8446da0fffee957f0e61e", "input": "Problem: micheal and adam can do together a piece of work in 20 days. after they have worked together for 15 days micheal stops and adam completes the remaining work in 10 days. in how many days micheal complete the work separately.\nOptions: a. 40 days, b. 100 days, c. 120 days, d. 110 days, e. 90 days", "output": [ "a" ] }, { "id": "task1678-3548abac70bf4995b9694e71e4a760fb", "input": "Problem: pipe a can fill a tank in 6 hours. due to a leak at the bottom, it takes 10 hours for the pipe a to fill the tank. in what time can the leak alone empty the full tank ?\nOptions: a. 13, b. 17, c. 15, d. 19, e. 12", "output": [ "c" ] }, { "id": "task1678-5bacfbdcb4054e59a1781fc04f7423b5", "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": "task1678-8d49cacadf454b47a70d5a43641b4df6", "input": "Problem: employees of a certain company are each to receive a unique 10 - digit identification code consisting of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 such that no digit is used more than once in any given code. in valid codes, the second digit in the code is exactly twice the first digit. how many valid codes are there ?\nOptions: a. 145,660, b. 149,720, c. 155,420, d. 161,280, e. 167,480", "output": [ "d" ] }, { "id": "task1678-8659ba58656c45cd811c90d6e17fc112", "input": "Problem: how many terminating zeroes w does 200 ! have ?\nOptions: a. 40, b. 48, c. 49, d. 55, e. 64", "output": [ "c" ] }, { "id": "task1678-e359fb835fa245b989c0bed3f0a2e53a", "input": "Problem: two trains 500 m and 750 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks. the time which they take to cross each other is ?\nOptions: a. 10.6, b. 45, c. 10.4, d. 10.8, e. 10.1", "output": [ "b" ] }, { "id": "task1678-a0fd3bcf63204353b76e2c33949f972a", "input": "Problem: a train 110 m long is running with a speed of 36 km / hr. in what time will it pass a man who is running at 6 km / hr in the direction opposite to that in which the train is going ?\nOptions: a. 5, b. 6, c. 7, d. 9, e. 5", "output": [ "d" ] }, { "id": "task1678-8f9d0c15b2cf4c44bf8879fd759c822d", "input": "Problem: if x + y = 3 and y / x = 2 then y = ?\nOptions: a. 0, b. 1 / 2, c. 1, d. 3 / 2, e. 2", "output": [ "e" ] }, { "id": "task1678-fce40df7a97944edb1e13f9ddcecf74d", "input": "Problem: tough and tricky questions: remainders. 1 ^ 1 + 2 ^ 2 + 3 ^ 3 +... + 7 ^ 7 is divided by 7. what is the remainder ?\nOptions: a. 0, b. 1, c. 2, d. 3, e. 4", "output": [ "e" ] }, { "id": "task1678-f6d60e1b41f34700874a2f249ab17782", "input": "Problem: a sells a bicycle to b and makes a profit of 50 %. b sells the same bicycle to c at a profit of 25 %. if the final s. p. of the bicycle was rs. 225, find out the cost price of the bicycle for a.\nOptions: a. 237, b. 126, c. 971, d. 611, e. 120", "output": [ "e" ] }, { "id": "task1678-3dec2ed2406a4fe3b64b418c5ba95b07", "input": "Problem: what is the units digit of ( 147 ^ 17 ) ^ 47 ?\nOptions: a. 1, b. 3, c. 5, d. 7, e. 9", "output": [ "b" ] }, { "id": "task1678-9000e1ee05214df19ac86a3fe5c6e589", "input": "Problem: how many times digit 5 is used while writing numbers from 100 to 1000 ?\nOptions: a. 648, b. 300, c. 252, d. 225, e. 290", "output": [ "e" ] }, { "id": "task1678-eb928a94bbc54f478c1f59b3d0e12eaf", "input": "Problem: one - third of rahul ' s savings in national savings certificate is equal to one - half of his savings in public provident fund. if he has rs. 1, 90,000 as total savings, how much has he saved in public provident fund ?\nOptions: a. 80000, b. 60000, c. 50000, d. 76000, e. 90000", "output": [ "d" ] }, { "id": "task1678-4d75b64b22174236b182e6f3f390a257", "input": "Problem: average marks of a, b, c is 48. when d joins average becomes 47. e has 3 more marks than d. average marks of b, c, d, e is 48. what is the marks of a ?\nOptions: a. 43, b. 44, c. 45, d. 46, e. 47", "output": [ "a" ] }, { "id": "task1678-4006be5d6ef944549883836bf48816fa", "input": "Problem: a sum of money at simple interest amounts to rs. 720 after 2 years and to rs. 1020 after a further period of 5 years. the sum is :\nOptions: a. 400, b. 500, c. 600, d. 700, e. 800", "output": [ "c" ] }, { "id": "task1678-415fe2423af04ab98875e3d06a0b3bd2", "input": "Problem: 3 candidates in an election and received 3136, 7636 and 11628 votes respectively. what % of the total votes did the winning candidate got in that election ?\nOptions: a. 45 %, b. 49 %, c. 52 %, d. 59 %, e. 61 %", "output": [ "c" ] }, { "id": "task1678-4419abb425964e08a41181a1ad3cc111", "input": "Problem: two pipes p and q can fill a cistern in 12 and 15 minutes respectively. both are opened together, but at the end of 2 minutes the first is turned off. how many more minutes will it take for the cistern to fill after the first pipe is turned off ?\nOptions: a. 8.5, b. 9.5, c. 10.5, d. 11.5, e. 12.5", "output": [ "c" ] }, { "id": "task1678-97d3a3a593e846669e33999b015e9759", "input": "Problem: 864.942 - ? + 45.76 = 547.905\nOptions: a. a. 899.015, b. b. 752.804, c. c. 714.642, d. d. 362.797, e. of these", "output": [ "d" ] }, { "id": "task1678-02c479641aeb46f7bfae3cde9ccb99fb", "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": "task1678-8aeca46b762b4b5ca330c9b8083fe53b", "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": "task1678-8edf05ea559941c49fd9a7a62ebde6a6", "input": "Problem: the product x of two prime numbers is between 17 and 55. if one of the prime numbers is greater than 2 but less than 6 and the other is greater than 11 but less than 25, then x =\nOptions: a. 18, b. 29, c. 37, d. 44, e. 65", "output": [ "e" ] }, { "id": "task1678-1e02e8f7f7ab49cda902412d74573b7e", "input": "Problem: a train traveling at 72 kmph crosses a platform in 33 seconds and a man standing on the platform in 18 seconds. what is the length of the platform in meters ?\nOptions: a. 240 meters, b. 360 meters, c. 420 meters, d. 300 meters, e. can not be determined", "output": [ "d" ] }, { "id": "task1678-57f370204dce409db616958aa7a16c96", "input": "Problem: lagaan is levied on the 60 percent of the cultivated land. the revenue department collected total rs. 3, 84,000 through the lagaan from the village of mutter. mutter, a very rich farmer, paid only rs. 480 as lagaan. the percentage of total land of mutter over the total taxable land of the village is :\nOptions: a. 0.20833, b. 0.14544, c. 0.25632, d. 0.35466, e. 0.63435", "output": [ "a" ] }, { "id": "task1678-cd9be97438e84f749754f3fedced73ed", "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": "task1678-76f3c4a941a04d81813b416ac6e3090f", "input": "Problem: if 4 xz + yw = 10 and xw + yz = 20, what is the value of the expression ( 2 x + y ) ( 2 z + w ) ?\nOptions: a. 9., b. 12., c. 15., d. 50., e. 18.", "output": [ "d" ] }, { "id": "task1678-a0c30d042f594e62b437c0d5bcd91405", "input": "Problem: $ 9,000 is deposited in a savings account that pays 14 % annual interest compounded semiannually. to the nearest dollar, how much is in the account at the end of the year ?\nOptions: a. $ 11304.12, b. $ 12304.54, c. $ 11604.14, d. $ 10304.10, e. $ 9304.41", "output": [ "d" ] }, { "id": "task1678-6cd38e6f2df043e8b643887e9dca63ba", "input": "Problem: a certain bacteria colony doubles in size every day for 25 days, at which point it reaches the limit of its habitat and can no longer grow. if two bacteria colonies start growing simultaneously, how many days will it take them to reach the habitat ’ s limit ?\nOptions: a. 6.33, b. 7.5, c. 10, d. 15, e. 24", "output": [ "e" ] }, { "id": "task1678-5bc57a79ee43407fa06b345de1b39cd2", "input": "Problem: two kinds of vodka are mixed in the ratio 1: 2 and 2: 1 and they are sold fetching the profit 10 % and 10 % respectively. if the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4 / 3 and 5 / 3 times respectively, then the mixture will fetch the profit of\nOptions: a. 10 %, b. 20 %, c. 21 %, d. 23 %, e. can not be determined", "output": [ "a" ] }, { "id": "task1678-ce25804ffa9842ca81822b528046a1af", "input": "Problem: if daily wages of a man is 4 times to that of a woman, how many men should work for 25 days to earn rs. 14400 ? given that wages for 40 women for 30 days are rs. 21600.\nOptions: a. 12, b. 4, c. 6, d. 8, e. 20", "output": [ "d" ] }, { "id": "task1678-65f6b13ce42d4b4e9dae126e85737e06", "input": "Problem: jerry went to a shop and bought things worth rs. 20, out of which 30 % went on sales tax on taxable purchases. if the tax rate was 6 %, then what was the cost of the tax free items ?\nOptions: a. 14, b. 14.7, c. 21.3, d. 21.5, e. 21.7", "output": [ "b" ] }, { "id": "task1678-490d71d4b1f34d5da85ca72348cc2be6", "input": "Problem: 5005 - 5000 ÷ 10.00 = ?\nOptions: a. 0.5, b. 50, c. 5000, d. 4505, e. none", "output": [ "d" ] }, { "id": "task1678-7fe202fddc9f491cad8b1f43af65549b", "input": "Problem: machine a takes 50 hours to complete a certain job and starts that job at 6 am. after four hour of working alone, machine a is joined by machine b and together they complete the job at 1 pm. how long would it have taken machine b to complete the job if it had worked alone for the entire job ?\nOptions: a. 9, b. 88.88, c. 4.88, d. 2.88, e. 3.88", "output": [ "e" ] }, { "id": "task1678-af81c16d36324fa8847ea336e14d269c", "input": "Problem: a random 10 - letter code is to be formed using the letters a, b, c, d, e, f, g, h, i and i ( only the “ i ” will be used twice.. what is the probability that a code that has the two i ’ s adjacent to one another will be formed ?\nOptions: a. 1 / 10, b. 1 / 8, c. 1 / 5, d. 1 / 4, e. 1 / 2", "output": [ "c" ] }, { "id": "task1678-d2f2ebaaf2624ebf8ee6aa4c3c428d80", "input": "Problem: at the end of the day, february 14 th, a florist had 90 roses left in his shop, all of which were red, white or pink in color and either long or short - stemmed. a third of the roses were short - stemmed, 15 of which were white and 10 of which were pink. the percentage of pink roses that were short - stemmed equaled the percentage of red roses that were short - stemmed. if none of the long - stemmed roses were white, what percentage of the long - stemmed roses were red ?\nOptions: a. 20 %, b. 75 %, c. 50 %, d. 33.3 %, e. 80 %", "output": [ "d" ] }, { "id": "task1678-3b3630ac7cd742dc8047f6415014b887", "input": "Problem: the average salary / head of allthe workers in a workshop is rs. 1200, if the average salary / head of 10 technician is rs. 1400 and the average salary / head of the rest is rs. 900, the total no. of workers in the work - shop is ?\nOptions: a. 18, b. 17, c. 15, d. 19, e. 21", "output": [ "b" ] }, { "id": "task1678-3a93cfb04a414bf59f09771bd0253a65", "input": "Problem: two cubes have their volumes are in the ratio 1: 27. find the ratio of their surface area ?\nOptions: ['a. 1: 2', 'b. 2: 3', 'c. 1: 9', 'd. 2: 7', 'e. 3: 11']", "output": [ "c" ] }, { "id": "task1678-271f4e3b950e4915b502edfb23297282", "input": "Problem: if the integer n has exactly 4 positive divisors, including 1 and n, how many positive divisors does n ^ 3 have ?\nOptions: a. 16, b. 11, c. 10, d. 20, e. 9", "output": [ "a" ] }, { "id": "task1678-1f2d4e6879104072bc5158f2086e30fe", "input": "Problem: the number 181 can be written as sum of the squares of 2 different positive integers. what is the difference of these 2 different integers ?\nOptions: a. 3, b. 2, c. 1, d. 4, e. 5", "output": [ "c" ] }, { "id": "task1678-43caf75c70c24d379b37c9d591763f9f", "input": "Problem: if you roll a fair - sided die twice, what is the probability of getting a double ( 5,5 ) ?\nOptions: a. 1 / 24, b. 1 / 36, c. 1 / 12, d. 1 / 18, e. 1 / 3 !", "output": [ "e" ] }, { "id": "task1678-e1b4719f64db41b89110a02de875e92f", "input": "Problem: a father and his son are waiting at a bus stop in the evening. there is a lamp post behind them. the lamp post, the father and his son stand on the same straight line. the father observes that the shadows of his head and his son ’ s head are incident at the same point on the ground. if the heights of the lamp post, the father and his son are 6 metres, 1.8 metres and 0.9 metres respectively, and the father is standing 2.1 metres away from the post, then how far ( in metres ) is the son standing from his father ?\nOptions: a. 0.9, b. 0.75, c. 0.6, d. 0.45, e. none of these", "output": [ "d" ] }, { "id": "task1678-c618fc80314840b8985aa5bf88b7e1a6", "input": "Problem: a collection of books went on sale, and 2 / 3 of them were sold for $ 2.25 each. if none of the 40 remaining books were sold, what was the total amount received for the books that were sold ?\nOptions: a. $ 160, b. $ 150, c. $ 280, d. $ 200, e. $ 180", "output": [ "e" ] }, { "id": "task1678-4a7440529b0d4d669b09dfaa0c8142ed", "input": "Problem: a rectangular lawn of dimensions 80 m * 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. what is the cost of traveling the two roads at rs. 5 per sq m ?\nOptions: a. 6500, b. 2779, c. 2779, d. 3900, e. 2781", "output": [ "a" ] }, { "id": "task1678-e86840bdb7f14df8a283bb755c098b04", "input": "Problem: at their respective rates, pump a, b, and c can fulfill an empty tank, or pump - out the full tank in 2, 3, and 6 hours. if a and b are used to pump - out water from the half - full tank, while c is used to fill water into the tank, in how many hours, the tank will be empty ?\nOptions: a. 2 / 3, b. 1, c. 3 / 4, d. 3 / 2, e. 2", "output": [ "c" ] }, { "id": "task1678-1efea1a7471844a8a456e9934cefcbea", "input": "Problem: a boat can travel with a speed of 22 km / hr in still water. if the speed of the stream is 5 km / hr, find the time taken by the boat to go 108 km downstream\nOptions: a. 5 hours, b. 4 hours, c. 3 hours, d. 2 hours, e. none of these", "output": [ "b" ] }, { "id": "task1678-a6d69672f0f64db79ae20aa874fb647d", "input": "Problem: company c sells a line of 25 products with an average retail price of $ 1,200. if none of these products sells for less than $ 400, and exactly 10 of the products sell for less than $ 1,000, what is the greatest possible selling price of the most expensive product ?\nOptions: a. 12000, b. 13000, c. 14000, d. 15000, e. 16000", "output": [ "a" ] }, { "id": "task1678-ab5e7aecdea54201abf71913a09eb484", "input": "Problem: a man purchased earphone on friday. but he forgot how much it cost. the data he have are mean expenditure of all 7 days is 500. expenditure on mon, tue, wed, thurs, sat, sun are 450600, 400500, 550300. on friday he purchased 3 things one earphone, one pen and one notebook. pen cost 30 and notebook cost 50. then what is cost of earphone ?\nOptions: a. 620, b. 530, c. 450, d. 470, e. 500", "output": [ "a" ] }, { "id": "task1678-7b06e886cca046ad918ecf6e89f55a07", "input": "Problem: what percent is 6 gm of 1 kg ?\nOptions: a. 1.5 %, b. 0.5 %, c. 0.6 %, d. 3.5 %, e. 4 %", "output": [ "c" ] }, { "id": "task1678-94da4333a9f14f529f6f08c07b7e2563", "input": "Problem: a train 300 m long is running with a speed of 68 kmph. in what time will it pass a man who is running at 8 kmph in the same direction in which the train is going ?\nOptions: a. 6 sec., b. 7 sec., c. 9 sec., d. 18 sec., e. none", "output": [ "d" ] }, { "id": "task1678-2f610f099bbc4fc58f100075117d7f63", "input": "Problem: how many prime numbers are between 51 / 13 and 89 / 9 ?\nOptions: a. 0, b. 1, c. 2, d. 3, e. 4", "output": [ "c" ] }, { "id": "task1678-7fa0afc0ab4b4022a963ae9c2189e82b", "input": "Problem: company c sells a line of 25 products with an average retail price of $ 1,400. if none of these products sells for less than $ 420, and exactly 10 of the products sell for less than $ 1,000, what is the greatest possible selling price of the most expensive product ?\nOptions: a. 16000, b. 11400, c. 13200, d. 15400, e. 16800", "output": [ "e" ] }, { "id": "task1678-24b97080a09b45738610738079a2439f", "input": "Problem: a soccer team played 130 games and won 60 percent of them. how many games did it win ?\nOptions: a. 84, b. 94, c. 100, d. 125, e. 78", "output": [ "e" ] }, { "id": "task1678-3debb76dfe1a48d29367b2838a4a9c85", "input": "Problem: what least no. must be subtracted from 5026 so that remaining no. is divisible by 5 ?\nOptions: a. 3, b. 4, c. 5, d. 6, e. 1", "output": [ "e" ] }, { "id": "task1678-ecd12c7b82624bee93c9f0a699f8e9f4", "input": "Problem: a gambler has won 40 % of his 40 poker games for the week so far. if, all of a sudden, his luck changes and he begins winning 70 % of the time, how many more games must he play to end up winning 60 % of all his games for the week ?\nOptions: a. 50, b. 60, c. 70, d. 80, e. 90", "output": [ "d" ] }, { "id": "task1678-6316fbef41b747a1a1386fe6e234dbaf", "input": "Problem: 50 % of a number is added to 200, the result is the same number. find the number ?\nOptions: a. 300, b. 288, c. 400, d. 129, e. 281", "output": [ "c" ] }, { "id": "task1678-29dcad62bc6445f4a788b7bc855969ac", "input": "Problem: there is a square with side ‘ a ’ and one octagon is inscribed in it. what will be perimeter of octagon.\nOptions: ['a. 8 a / 3', 'b. 7 a / 3', 'c. 5 a / 3', 'd. a / 3', 'e. 11 a / 3']", "output": [ "a" ] }, { "id": "task1678-6b402e8f7d16466b84420c300a67ed20", "input": "Problem: when 2 / 9 of the votes on a certain resolution have been counted, 3 / 4 of those counted are in favor of the resolution. what fraction x of the remaining votes must be against the resolution so that the total count will result in a vote of 2 to 1 against the resolution ?\nOptions: a. 11 / 14, b. 13 / 18, c. 4 / 7, d. 3 / 7, e. 3 / 14", "output": [ "a" ] }, { "id": "task1678-9acd32a29def49d5a72782eea89ad519", "input": "Problem: the speed of the boat in still water in 12 kmph. it can travel downstream through 54 kms in 3 hrs. in what time would it cover the same distance upstream ?\nOptions: a. 8 hours, b. 6 hours, c. 4 hours, d. 5 hours, e. 9 hours", "output": [ "e" ] }, { "id": "task1678-29929b64e8344336bdcd306788116b2a", "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": "task1678-c57e8ca77f7040fbb209750d362d1471", "input": "Problem: each light bulb at a hotel is either incandescent or fluorescent. at a certain moment, thirty percent of the incandescent bulbs are switched on, and eighty percent of the fluorescent bulbs are switched on. if 40 percent of all the bulbs are switched on at this moment, what percent of the bulbs that are switched on are incandescent ?\nOptions: a. 20 %, b. 40 %, c. 50 %, d. 60 %, e. 80 %", "output": [ "d" ] }, { "id": "task1678-e0d7850b03c2414aac4dd855031639e3", "input": "Problem: a train 300 m long is running at a speed of 99 km / hr. in what time will it pass a bridge 195 m long ?\nOptions: a. 17, b. 18, c. 19, d. 20, e. 21", "output": [ "b" ] }, { "id": "task1678-b6249096a5d24fef92bd6b0b6b975815", "input": "Problem: f ( x ) is a function such that f ( 2 x + 1 ) = 2 f ( x ) + 1 for all real numbers x and f ( 0 ) = 2. find the value of f ( 3 ).\nOptions: a. 10, b. 11, c. 12, d. 13, e. 14", "output": [ "b" ] }, { "id": "task1678-3842695410f74ccc8132b34ffedeed1f", "input": "Problem: evaluate 28 % of 450 + 45 % of 260\nOptions: a. 232, b. 243, c. 252, d. 262, e. 282", "output": [ "b" ] }, { "id": "task1678-3f7d53209973430683f47acfdfbd9ff0", "input": "Problem: what is the units digit of ( 44 ^ 4 ) ( 33 ^ 5 ) ( 21 ^ 6 ) ?\nOptions: a. 0, b. 2, c. 4, d. 6, e. 8", "output": [ "e" ] }, { "id": "task1678-dc1568edf60e4e828a1d181a368b88ec", "input": "Problem: the largest 4 digit number exactly divisible by 55 is ?\nOptions: a. 9935, b. 9939, c. 9944, d. 9955, e. 9960", "output": [ "d" ] }, { "id": "task1678-02ab4f5a798843f391b38f1f2497f6b4", "input": "Problem: a sum of money deposited at c. i. amounts to rs. 2420 in 2 years and to rs. 2662 in 3 years. find the rate percent ?\nOptions: a. 23 %, b. 10 %, c. 32 %, d. 98 %, e. 31 %", "output": [ "b" ] }, { "id": "task1678-a11e59d650994d618e89109356830de6", "input": "Problem: a car started running at a speed of 36 km / hr and the speed of the car was increased by 2 km / hr at the end of every hour. find the total distance covered by the car in the first 10 hours of the journey.\nOptions: a. 45 km, b. 76 km, c. 25 km, d. 15 km, e. 30 km", "output": [ "a" ] }, { "id": "task1678-eddb3ce0006a4c6687d1933d39f9864b", "input": "Problem: the average age of a class of 20 students is 18 years. the average increased by 2 when the teacher ' s age also included. what is the age of the teacher ?\nOptions: a. 40 years, b. 41 years, c. 42 years, d. 43 years, e. 44 years", "output": [ "a" ] }, { "id": "task1678-9798f57e35cb457cbefe324694486407", "input": "Problem: the profits of qrs company rose 30 % from march to april, then dropped 20 % from april to may, then rose 50 % from may to june. what was the percent increase for the whole quarter, from march to june ?\nOptions: a. 15 %, b. 32 %, c. 56 %, d. 62 %, e. 80 %", "output": [ "c" ] }, { "id": "task1678-000d31dd160b4c5297eb4953d5f44a57", "input": "Problem: if the radius of a circle is increased by 20 % then the area is increased by :\nOptions: a. 44 %, b. 120 %, c. 144 %, d. 40 %, e. none of the above", "output": [ "a" ] }, { "id": "task1678-48da4cd30a1f4911bd402561552e8067", "input": "Problem: one half of a two digit number exceeds its one third by 7. what is the sum of the digits of the number ?\nOptions: a. a. 3, b. b. 5, c. c. 7, d. d. 9, e. e. 10", "output": [ "e" ] }, { "id": "task1678-26fcc2f761d743b4beb6ef36d16ca9d5", "input": "Problem: the sum of two consecutive numbers is 37. what are they ?\nOptions: a. 18 and 19, b. 18 and 21, c. 18 and 23, d. 19 and 20, e. none", "output": [ "a" ] }, { "id": "task1678-6fcae2d15df24f60835154d9dc8d697c", "input": "Problem: a pupil ' s marks were wrongly entered as 83 instead of 63. due to that the average marks for the class got increased by half. the number of pupils in the class is :\nOptions: a. 45, b. 40, c. 39, d. 37, e. 38", "output": [ "b" ] }, { "id": "task1678-d92a52b18e524b6cabc65d37c75ee1b7", "input": "Problem: if 40 % of ( x - y ) = 30 % of ( x + y ) then what percent of x is y ?\nOptions: a. 2.5 %, b. 10 %, c. 5 %, d. 14 %, e. 25 %", "output": [ "d" ] }, { "id": "task1678-14e1e5096c734f62a2e713b90280f301", "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": "task1678-f6d18debb6f34a7a8dbceda4c7e602ea", "input": "Problem: there are 20 players on a rugby team. if the average weight of the players is 180 pounds, what will be the new average height if a 210 pound player will join the team ?\nOptions: a. 185, b. 183.22, c. 184.96, d. 181.43, e. 182.78", "output": [ "d" ] }, { "id": "task1678-c2e4783df20547feaa2106144cca5e3b", "input": "Problem: if in a 20 over cricket match, there were no wide balls, no wides, no extras and no overthrows. what is the maximum number of runs that a batsman can score in an ideal case scenario ?\nOptions: a. 663, b. 720, c. 625, d. 640, e. none", "output": [ "a" ] }, { "id": "task1678-e709ce5305a24e4fa1425ede4e672816", "input": "Problem: what annual payment will discharge a debt of rs. 1025 due in 2 years at the rate of 5 % compound interest ?\nOptions: a. rs. 550, b. rs. 551.25, c. rs. 560, d. rs. 560.75, e. rs. 660.75", "output": [ "b" ] }, { "id": "task1678-9ea9e8129f3847738da0b06814662e52", "input": "Problem: after 10 % of the inhabitants of a village disappeared, a panic set in during which 25 % of the remaining inhabitants left the village. at that time, the population was reduced to 5130. what was the number of original inhabitants ?\nOptions: a. 7300, b. 7600, c. 7900, d. 8200, e. 8500", "output": [ "b" ] }, { "id": "task1678-7da37a4f0a2e4f6aac5445e7b69768c9", "input": "Problem: 40 is subtracted from 70 % of a number, the result is 30. find the number ?\nOptions: a. 150, b. 997, c. 266, d. 288, e. 100", "output": [ "e" ] }, { "id": "task1678-8961064a49c94b3090a3f988099b34a6", "input": "Problem: find the greatest number that will divide 28, 128 and 147 leaving 10, 2 and 3 as remainders respectively\nOptions: a. 19, b. 17, c. 13, d. 9, e. 18", "output": [ "e" ] }, { "id": "task1678-67bfa786114a4649a9caaf6b57337709", "input": "Problem: if a train, travelling at a speed of 120 kmph, crosses a pole in 6 sec, then the length of train is ?\nOptions: a. 281, b. 125, c. 200, d. 266, e. 121", "output": [ "c" ] }, { "id": "task1678-5aa089b774e443428e06cf399874b9b9", "input": "Problem: sakshi can do a piece of work in 5 days. tanya is 25 % more efficient than sakshi. the number of days taken by tanya to do the same piece of work :\nOptions: a. 4, b. 16, c. 18, d. 25, e. 10", "output": [ "a" ] }, { "id": "task1678-a603d7c8b4c54a108d7981feabd62549", "input": "Problem: two pipes a and b can separately fill a cistern in 60 minutes and 80 minutes respectively. there is a third pipe in the bottom of the cistern to empty it. if all the three pipes are simultaneously opened, then the cistern is full in 40 minutes. in how much time, the third pipe alone can empty the cistern ?\nOptions: a. 90 min, b. 100 min, c. 240 min, d. 120 min, e. 130 min", "output": [ "c" ] }, { "id": "task1678-d40602ce6b9e494bae9f629f99a3b052", "input": "Problem: 13 buckets of water fill a tank when the capacity of each bucket is 51 litres. how many buckets will be needed to fill the same tank, if the capacity of each bucket is 17 litres ?\nOptions: a. 39, b. 28, c. 23, d. 12, e. 24", "output": [ "a" ] }, { "id": "task1678-a8a94b5fd1454a60a22b04a0c4b005ab", "input": "Problem: a candidate appearing for an examination has to secure 55 % marks to pass paper i. but he secured only 45 marks and failed by 25 marks. what is the maximum mark for paper i ?\nOptions: a. 127, b. 120, c. 130, d. 140, e. 150", "output": [ "a" ] }, { "id": "task1678-9480b7ef0bee4396b004ecd9d8224f85", "input": "Problem: by selling 15 pencils for a rupee a man loses 20 %. how many for a rupee should he sell in order to gain 20 % ?\nOptions: a. 8, b. 7, c. 6, d. 4, e. 10", "output": [ "e" ] }, { "id": "task1678-70d57847b4c34ea3af4184c8c4b8fda7", "input": "Problem: find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 10 cm ?\nOptions: a. 827 cm 2, b. 216 cm 2, c. 285 cm 2, d. 178 cm 2, e. 190 cm 2", "output": [ "e" ] }, { "id": "task1678-3735afbf60264dda8f54e4453ce821b6", "input": "Problem: a sum of money is to be divided among ann, bob and chloe. first, ann receives $ 4 plus one - half of what remains. next, bob receives $ 4 plus one - third of what remains. finally, chloe receives the remaining $ 32. how much money n did bob receive ?\nOptions: a. 20, b. 22, c. 24, d. 26, e. 52", "output": [ "b" ] }, { "id": "task1678-aeae0ad0677c4739b24db37d66417bce", "input": "Problem: two trains leave a station traveling the same direction. train a leaves the station traveling at a constant speed of 60 mph, and train b leaves the station traveling at a constant speed of 80 mph. if both trains maintain constant speeds, in how many minutes will train b overtake train a if train a left 40 minutes prior to train b ?\nOptions: a. 90, b. 100, c. 110, d. 120, e. 130", "output": [ "d" ] }, { "id": "task1678-91eff313dfcf4a35befef6b8911882d6", "input": "Problem: if the average of 5 positive integers is 50 and the difference between the largest and the smallest of these 5 numbers is 10, what is the maximum value possible for the largest of these 5 integers ?\nOptions: a. 50, b. 58, c. 49, d. 48, e. 44", "output": [ "b" ] }, { "id": "task1678-b089181bb46443398cb545a889774ec5", "input": "Problem: what is the smallest number which, when increased by 7, is divisible by 8, 11, and 24 ?\nOptions: a. 264, b. 257, c. 269, d. 270, e. 282", "output": [ "b" ] }, { "id": "task1678-22bd0b6da517443f87ae658614e9190d", "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": "task1678-7507827009ce4662986be77e36f88398", "input": "Problem: the grade point average of one third of the classroom is 15; the grade point average of the rest is 18. what is the grade point average of the whole class ?\nOptions: a. 17, b. 19, c. 21, d. 23, e. 25", "output": [ "a" ] }, { "id": "task1678-863f132508cb41329718404adfa99cd0", "input": "Problem: arjun started a business with rs. 10,000 and is joined afterwards by anoop with rs. 40, 000. after how many months did anoop join if the profits at the end of the year are divided equally ?\nOptions: a. 3, b. 4, c. 5, d. 6, e. 9", "output": [ "e" ] }, { "id": "task1678-407327aa1ee9459788f8b55206bbdf8f", "input": "Problem: if the operation @ is defined for all a and b by the equation a @ b = ( a - b. / 5, then ( 3 @ - 2 ) @ 6 = ?\nOptions: a. 0, b. 1, c. 2, d. - 2, e. - 1", "output": [ "e" ] }, { "id": "task1678-32990cb7af1b4d60b158381067749114", "input": "Problem: what is the ratio of 5 / 7 to the product 3 * ( 7 / 3 ) ?\nOptions: a. 3: 7, b. 1: 3, c. 5: 49, d. 1: 7, e. 3: 49", "output": [ "c" ] }, { "id": "task1678-060f332818354dfd9c69929b22c0ba21", "input": "Problem: a goods train runs at the speed of 72 km / hr and crosses a 250 m long platform in 15 sec. what is the length of the goods train ?\nOptions: a. 299, b. 277, c. 276, d. 270, e. 50", "output": [ "e" ] }, { "id": "task1678-ca7beec1feb64f65a9ed1efad7ea6b4e", "input": "Problem: a goods train runs at the speed of 72 km / hr and crosses a 290 m long platform in 26 sec. what is the length of the goods train ?\nOptions: a. 278, b. 166, c. 151, d. 230, e. 109", "output": [ "d" ] }, { "id": "task1678-d41304aae28145ca809b941791fba6c0", "input": "Problem: the contents of a certain box consist of 24 oranges and 30 kiwis. how many kiwis must be added to the box so that exactly 30 % of the pieces of fruit in the box will be oranges ?\nOptions: a. 24, b. 26, c. 30, d. 46, e. 50", "output": [ "b" ] }, { "id": "task1678-e9a3307e927d49a589d3ff686d507487", "input": "Problem: if s is the sum of reciprocals of a list of consecutive integers from 55 to 64, inclusive, s is approximately equal to\nOptions: a. 0.16, b. 0.2, c. 0.3, d. 0.4, e. 0.5", "output": [ "a" ] }, { "id": "task1678-ad9604ebdaac4bb89e007539efda2fa8", "input": "Problem: the sector of a circle has radius of 28 cm and central angle 135 o. find its perimeter ?\nOptions: a. 122 cm, b. 92.2 cm, c. 28.9 cm, d. 29.2 cm, e. 98.2 cm", "output": [ "a" ] }, { "id": "task1678-ce5f07efc1b34c9ca5bbc39cac936c23", "input": "Problem: a swimmer swims downstream 55 km and upstream 10 km taking 5 hours each time; what is the speed of the current ?\nOptions: a. 4.6, b. 4.5, c. 4.4, d. 4.3, e. 4.2", "output": [ "b" ] }, { "id": "task1678-383e8b88173b4545a910f85ff4154977", "input": "Problem: what is the sum of the greatest common factor and the lowest common multiple of 16 and 72 ?\nOptions: a. 142, b. 152, c. 124, d. 160, e. 184", "output": [ "b" ] }, { "id": "task1678-cc12bb788c9e45e7b29e817f85ccb247", "input": "Problem: a is half good a work man as b and together they finish a job in 13 days. in how many days working alone b finish the job ?\nOptions: a. 23, b. 22, c. 39 / 2, d. 36, e. 48", "output": [ "c" ] }, { "id": "task1678-e80abd1411894840b4af40a576123c5a", "input": "Problem: 33 persons can repair a road in 12 days, working 5 hours a day. in how many days will 30 persons, working 6 hours a day, complete the work ?\nOptions: a. 10, b. 11, c. 13, d. 18, e. 19", "output": [ "b" ] }, { "id": "task1678-ef2c28a5edb24b9a98e745f402a0ffd5", "input": "Problem: the diagonal of a rectangle is √ 41 cm and its area is 20 sq. cm. the perimeter of the rectangle must be :\nOptions: ['a. 18', 'b. 28', 'c. 38', 'd. 48', 'e. 58']", "output": [ "a" ] }, { "id": "task1678-ec5cbfd78b7f4015940603d5d98b754a", "input": "Problem: the pilot of a small aircraft with a 60 - gallon fuel tank wants to fly to cleveland, which is 480 miles away. the pilot recognizes that the current engine, which can fly only 10 miles per gallon, will not get him there. by how many miles per gallon must the aircraft ’ s fuel efficiency be improved to make the flight to cleveland possible ?\nOptions: a. 5, b. 12, c. 2, d. 4, e. 6", "output": [ "c" ] }, { "id": "task1678-e6492f0937504c0ba65f49fa12f019b3", "input": "Problem: there is a square with sides of 12. what is the circumference of the biggest circle that can be cut out of this square ?\nOptions: ['a. 75.4', 'b. 31.42', 'c. 36', 'd. 18.85', 'e. 37.7']", "output": [ "e" ] }, { "id": "task1678-bb978e88391c450fa87ce73417491777", "input": "Problem: convert 0.36 in to a vulgar fraction ?\nOptions: a. 18 / 50, b. 16 / 50, c. 17 / 50, d. 9 / 25, e. none", "output": [ "d" ] }, { "id": "task1678-15d339d9d15745529322c50a721479ff", "input": "Problem: a box contain the number of balls which is as much greater than 44 is less than 70. the number of balls is ?\nOptions: a. 47, b. 114, c. 74, d. 67, e. 57", "output": [ "e" ] }, { "id": "task1678-1314b228c3264d2c909fe0f164fa8e20", "input": "Problem: robert ' s salary was decreased by 20 % and subsequently increased by 20 %. how much percentage does he lose ?\nOptions: a. 4 %, b. 20 %, c. 25 %, d. 30 %, e. 50 %", "output": [ "a" ] }, { "id": "task1678-b24be0557b64427cab8451e3c12aea1d", "input": "Problem: the average of temperatures at noontime from monday to friday is 55; the lowest one is 45, what is the possible maximum range of the temperatures ?\nOptions: a. 20, b. 25, c. 40, d. 45, e. 75", "output": [ "c" ] }, { "id": "task1678-efa09e39b2ef425cac62abd1372704c4", "input": "Problem: 12. what is the dividend. divisor 17, the quotient is 9 and the remainder is 6.\nOptions: a. 150, b. 152, c. 154, d. 159, e. 144", "output": [ "d" ] }, { "id": "task1678-f385dd6126c34037b52034b7c97aa2e7", "input": "Problem: what is the probability that the sum of two dice will yield a 5, and then when both are thrown again, their sum will again yield a 5 ? assume that each die has 4 sides with faces numbered 1 to 4.\nOptions: a. 1 / 144, b. 1 / 36, c. 1 / 12, d. 1 / 16, e. 1 / 3", "output": [ "d" ] }, { "id": "task1678-bed84b8e73ee4eaeac4dbcb757238557", "input": "Problem: a, b, c and d enter into partnership. a subscribes 1 / 3 of the capital b 1 / 4, c 1 / 5 and d the rest. how much share did a get in a profit of rs. 2400 ?\nOptions: a. s. 800, b. s. 810, c. s. 820, d. s. 900, e. s. 920", "output": [ "a" ] }, { "id": "task1678-1e4e74ab358d4de1835753ddb7e5c95c", "input": "Problem: yesterday ' s closing prices of 2,420 different stocks listed on a certain stock exchange were all different from today ' s closing prices. the number of stocks that closed at a higher price today than yesterday was 20 percent greater than the number that closed at a lower price. how many of the stocks closed at a higher price today than yesterday ?\nOptions: a. 484, b. 726, c. 1,100, d. 1,320, e. 1,694", "output": [ "d" ] }, { "id": "task1678-20f6d04e61fb4b5e9a85f2df3c8502e5", "input": "Problem: a shopkeeper sells 200 metres of cloth for rs. 12000 at a loss of rs. 12 per metre. find his cost price for one metre of cloth ?\nOptions: a. s. 59, b. s. 72, c. s. 62, d. s. 50, e. s. 13", "output": [ "b" ] }, { "id": "task1678-0ef74f4e3c6940e982599f47f440463d", "input": "Problem: before 7 years, dog a ’ s age was 4 times of dog b ’ s age and after 4 years, dog a ’ s age will be 3 times of dog b ’ s age. what is the difference of dog a ’ s age and dog b ’ s now ?\nOptions: a. 36, b. 42, c. 54, d. 60, e. 70", "output": [ "e" ] }, { "id": "task1678-7746e99513514945890da1a8fe0fdc62", "input": "Problem: a pipe can empty 2 / 3 rd of a cistern in 12 mins. in 6 mins, what part of the cistern will be empty ?\nOptions: a. 2 / 3, b. 3 / 7, c. 4 / 9, d. 3 / 8, e. 1 / 3", "output": [ "e" ] }, { "id": "task1678-eee9e57fda5845c0851e6060843ebf81", "input": "Problem: a grocer has a sale of rs. 5420, rs. 5660, rs. 6200, rs. 6350 and rs. 6500 for 5 consecutive months. find the sale he should have in the sixth month, so that he gets an average sale of rs. 6400 ?\nOptions: a. rs. 5870, b. rs. 8270, c. rs. 6020, d. rs. 6850, e. none of these", "output": [ "b" ] }, { "id": "task1678-6fd2d6ab6cf2403482f0053ecad5476a", "input": "Problem: 1401 x 1401 = ?\nOptions: a. 1962800, b. 1962801, c. 1960000, d. 1951611, e. 1951613", "output": [ "b" ] }, { "id": "task1678-7d6fb6cf63454c3bbcf692e849e3fb59", "input": "Problem: the sum of first n consecutive odd integers is n ^ 2. what is the sum of all odd integers between 9 and 39 inclusive.\nOptions: a. 351, b. 384, c. 410, d. 424, e. 450", "output": [ "b" ] }, { "id": "task1678-87a30193b5e04488a25ad1589f8efae0", "input": "Problem: huey ' s hip pizza sells two sizes of square pizzas: a small pizza that measures 12 inches on a side and costs $ 10, and a large pizza that measures 18 inches on a side and costs $ 20. if two friends go to huey ' s with $ 30 apiece, how many more square inches of pizza can they buy if they pool their money than if they each purchase pizza alone ?\nOptions: a. 5 square inches, b. 36 square inches, c. 15 square inches, d. 25 square inches, e. 350 square inches", "output": [ "b" ] }, { "id": "task1678-f545087d6f674a85b1767d925c07deaa", "input": "Problem: two goods trains each 75 m long are running in opposite directions on parallel tracks. their speeds are 45 km / hr and 30 km / hr respectively. find the time taken by the slower train to pass the driver of the faster one ?\nOptions: a. 2.3 sec, b. 4.2 sec, c. 48 sec, d. 7.2 sec, e. 9 sec", "output": [ "d" ] }, { "id": "task1678-a607c92d361c42dd9c97f7519dface08", "input": "Problem: if each participant of a chess tournament plays exactly one game with each of the remaining participants, then 153 games will be played during the tournament. find the number of participants.\nOptions: a. 15, b. 16, c. 17, d. 18, e. 19", "output": [ "d" ] }, { "id": "task1678-d2c429bb1ad944b9a08d096487b47f3e", "input": "Problem: find the ones digit of 73 ^ 340\nOptions: a. 3, b. 5, c. 6, d. 7, e. 9", "output": [ "a" ] }, { "id": "task1678-4495d17be6ab46218687002a376a05c5", "input": "Problem: if a lends rs. 2000 to b at 15 % per annum and b lends the same sum to c at 17 % per annum then the gain of b in a period of 4 years is ?\nOptions: a. 155, b. 162, c. 157.5, d. 160, e. 157.12", "output": [ "d" ] }, { "id": "task1678-3496c62636ae428dae55b7bb6d8e8bd0", "input": "Problem: how much time will a train of length 400 m moving at a speed of 72 kmph take to cross another train of length 300 m, moving at 36 kmph in the same direction ?\nOptions: a. 40 sec, b. 50 sec, c. 60 sec, d. 70 sec, e. 80 sec", "output": [ "d" ] }, { "id": "task1678-96b27b0af6c34576ada6e6517c761836", "input": "Problem: length of a rectangular plot is 26 mtr more than its breadth. if the cost of fencin gthe plot at 26.50 per meter is rs. 5300, what is the length of the plot in mtr ?\nOptions: a. 53 m, b. 63 m, c. 73 m, d. 83 m, e. 93 m", "output": [ "b" ] }, { "id": "task1678-e6b2ca5f9b4b4982a24748230f5bee2d", "input": "Problem: on a map the distance between two mountains is 312 inches. the actual distance between the mountains is 136 km. ram is camped at a location that on the map is 34 inch from the base of the mountain. how many km is he from the base of the mountain ?\nOptions: ['a. 14.83', 'b. 14.81', 'c. 14.8', 'd. 14.82', 'e. 14.12']", "output": [ "d" ] }, { "id": "task1678-54351ffc55cf44999d6246817b17ef61", "input": "Problem: the sum of the present ages of a father and his son is 42 years. 6 years ago, father ' s age was 4 times the age of the son. after 6 years, son ' s age will be :\nOptions: a. 14, b. 16, c. 18, d. 20, e. 22", "output": [ "c" ] }, { "id": "task1678-a3c6324db6394e0da062ffda96289011", "input": "Problem: two trains a and b starting from two points and travelling in opposite directions, reach their destinations 9 hours and 16 hours respectively after meeting each other. if the train a travels at 80 kmph, find the rate at which the train b runs.\nOptions: a. 40, b. 160, c. 120, d. 80, e. 100", "output": [ "b" ] }, { "id": "task1678-d6009582651a4b7897bdd68615259024", "input": "Problem: a recipe requires 2 1 / 2 ( mixed number ) cups of flour 2 3 / 4 ( mixed number ) cups of sugar and 1 1 / 3 ( mixed number ) cups of milk to make one cake. victor has 15 cups if flour, 16 cups of sugar and 8 cups of milk. what is the greatest number of cakes tom can make using this recipe ?\nOptions: a. 5, b. 6, c. 7, d. 8, e. 9", "output": [ "a" ] }, { "id": "task1678-77d080d8b9324f00953150c06166f7d5", "input": "Problem: the c. p of 10 pens is equal to the s. p of 5 pens. find his gain % or loss % ?\nOptions: a. 50 %, b. 40 %, c. 30 %, d. 60 %, e. 20 %", "output": [ "a" ] }, { "id": "task1678-eff0b8b7b925408c89fad5cd1a6aea9d", "input": "Problem: the average of 6 no. ' s is 3.95. the average of 2 of them is 4.2, while the average of theother 2 is 3.85. what is the average of the remaining 2 no ' s ?\nOptions: a. 4.2, b. 4.4, c. 4.6, d. 3.8, e. 5.7", "output": [ "d" ] }, { "id": "task1678-089b1a12a2a44f3897157efca164a857", "input": "Problem: 20 one identical machines, running continuously at the same constant rate, take 9 days to complete a shipment. how many additional machines, each running at the same constant rate, would be needed to reduce the time required to complete a shipment by two days ?\nOptions: a. 2, b. 3, c. 4, d. 6, e. 9", "output": [ "d" ] }, { "id": "task1678-46a5cc7cfb984bd9af8a8595a21cd4da", "input": "Problem: a furniture dealer purchased a desk for $ 150 and then set the selling price equal to the purchase price plus a markup that was 40 % of the selling price. if the dealer sold the desk at the selling price, what was the amount of the dealer ' s gross profit from the purchase and the sale of the desk ?\nOptions: a. $ 40, b. $ 60, c. $ 80, d. $ 90, e. $ 100", "output": [ "e" ] }, { "id": "task1678-a04aec80c46d4933bea8cc5a915679f1", "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": "task1678-17a0e17c887a402db66f021d5c02c371", "input": "Problem: three 7 faced dice are thrown together. the probability that all the three show the same number on them is ?\nOptions: a. 1 / 38, b. 1 / 49, c. 1 / 39, d. 1 / 42, e. 1 / 29", "output": [ "b" ] }, { "id": "task1678-69bd8d7a74aa413e8c8df8c8e76262f1", "input": "Problem: how much more would rs. 10000 fetch, after two years, if it is put at 20 % p. a. compound interest payable half yearly than if is put at 20 % p. a. compound interest payable yearly ?\nOptions: a. 241, b. 725, c. 992, d. 837, e. 923", "output": [ "a" ] }, { "id": "task1678-74ad8199be674900b3548f7d84c5ae9c", "input": "Problem: what is the decimal equivalent of ( 1 / 4 ) ^ 2 ?\nOptions: a. 0.0016, b. 0.0625, c. 0.16, d. 0.25, e. 0.5", "output": [ "b" ] }, { "id": "task1678-2c08fce8a6a54261af618ca039448a79", "input": "Problem: a paint store mixes 3 / 4 pint of red paint and 2 / 3 pint of white paint to make a new paint color called perfect pink. how many pints of red paint would be needed to make 33 pints of perfect pink paint ?\nOptions: a. 9, b. 16, c. 17, d. 25 1 / 3, e. 28 1 / 2", "output": [ "c" ] }, { "id": "task1678-609e61c05a4d45a9aded2865dfc0005b", "input": "Problem: a rectangular field has area equal to 150 sq m and perimeter 50 m. its length and breadth must be ?\nOptions: ['a. 15 m, 15 m', 'b. 15 m, 90 m', 'c. 16 m, 10 m', 'd. 15 m, 10 m', 'e. 15 m, 30 m']", "output": [ "d" ] }, { "id": "task1678-47ed99b56103469eb77027f33e4d8f35", "input": "Problem: if 5 + 7 / x = 6 - 5 / x, then x =\nOptions: a. 7, b. 14, c. 12, d. 6 / 7, e. 5", "output": [ "c" ] }, { "id": "task1678-26f73b570cc3449a88f4a8b0bc4f596c", "input": "Problem: the average of 15 numbers is calculated as 30. it is discovered later on that while calculating the average, one number namely 36 was wrongly read as 26. the correct average is ?\nOptions: a. 12, b. 26, c. 16, d. 45, e. 12", "output": [ "d" ] }, { "id": "task1678-6ee1840877aa46f4bdd844917ecf8e50", "input": "Problem: kelly has had 3 pay cuts in her salary in the past 6 months. if the first pay cut was 8 %, the second pay cut was 14 % and the third was 18 %. what will be the percentage decrease, if the salary is decreased in a single shot ?\nOptions: a. 35.9 %, b. 34.12 %, c. 32.12 %, d. 35.12 %, e. 31.12 %", "output": [ "d" ] }, { "id": "task1678-0acc6f7cde9f45b1b3f97fb8b1d65fad", "input": "Problem: a, b and c are partners. a receives 2 / 3 of profits, b and c dividing the remainder equally. a ' s income is increased by rs. 400 when the rate to profit rises from 5 to 7 percent. find the capital of c ?\nOptions: a. 3377, b. 2899, c. 5000, d. 2778, e. 1991", "output": [ "c" ] }, { "id": "task1678-07657f8982164550910d26e3896739d0", "input": "Problem: how many distinct integer values of n satisfy the inequality | | n - 3 | + 4 | ≤ 11 ?\nOptions: a. 15, b. 16, c. 17, d. 8, e. 19", "output": [ "d" ] }, { "id": "task1678-e6cb6f52d0884eb6a26674239d581869", "input": "Problem: in the coordinate plane, a circle centered on point ( - 3, - 4 ) passes through point ( 1, 2 ). what is the area of the circle ?\nOptions: a. 9 π, b. 18 π, c. 25 π, d. 37 π, e. 52 π", "output": [ "e" ] }, { "id": "task1678-0555778e50644ff0b1700768f158b773", "input": "Problem: a and b began business with rs. 3000 and rs. 4000 after 8 months, a withdraws rs. 1000 and b advances rs. 1000 more. at the end of the year, their profits amounted to rs. 630 find the share of a ?\nOptions: a. 240, b. 278, c. 209, d. 267, e. 262", "output": [ "a" ] }, { "id": "task1678-378a95f9f8844210bff4503fccf361fc", "input": "Problem: what is the sum of the 1 st 5 prime numbers greater than 20 ?\nOptions: a. 121, b. 151, c. 168, d. 164, e. 161", "output": [ "e" ] }, { "id": "task1678-ce646548c395481da6be64eccde2a43f", "input": "Problem: the population of a bacteria culture doubles every 2 minutes. approximately how many minutes will it take for the population to grow from 1000 to 1000000 bacteria\nOptions: a. 10, b. 12, c. 14, d. 16, e. 20", "output": [ "e" ] }, { "id": "task1678-a419c7e1bb9c47e2ba58c568735eac90", "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": "task1678-06f9d108e2864b0ab99c69ebd4bc6b04", "input": "Problem: if a person walks at 20 km / hr instead of 10 km / hr, he would have walked 20 km more. the actual distance traveled by him is :\nOptions: a. 20 km, b. 56 km, c. 60 km, d. 70 km, e. 80 km", "output": [ "a" ] }, { "id": "task1678-044e34a7bc2c4e729e006e7b063008a2", "input": "Problem: 20 % of a number is more than 30 % of 120 by 80. find the number ?\nOptions: a. 520, b. 560, c. 580, d. 620, e. 610", "output": [ "c" ] }, { "id": "task1678-3b45416831f24b858f9a3da2c42c6eb1", "input": "Problem: find the average of all prime numbers between 40 and 80.\nOptions: a. 59.4, b. 56, c. 39.8, d. 44.9, e. none", "output": [ "a" ] }, { "id": "task1678-5433c7587cb744308b2ad9dc4fbb2a49", "input": "Problem: the population of a bacteria colony doubles every day. if it was started 9 days ago with 2 bacteria and each bacteria lives for 12 days, how large is the colony today ?\nOptions: a. 512, b. 768, c. 1024, d. 2048, e. 4096", "output": [ "c" ] }, { "id": "task1678-37724045bd16483596a43a24763b7a78", "input": "Problem: in may, the groundskeeper at spring lake golf club built a circular green with an area of 65 π square feet. in august, the groundskeeper doubled the distance from the center of the green to the edge of the green. what is the total area of the renovated green ?\nOptions: a. 105 π, b. 130 π, c. 200 π, d. 260 π, e. 320 π", "output": [ "d" ] }, { "id": "task1678-172bbccb0c2a4555873b81940bdd5b39", "input": "Problem: on dividing 190 by a number, the quotient is 9 and the remainder is 1. find the divisor ?\nOptions: a. a. 12, b. b. 15, c. c. 16, d. d. 17, e. e. 21", "output": [ "e" ] }, { "id": "task1678-0d875ff06ee44e508150c8370bbbcb28", "input": "Problem: let c be defined as the sum of all prime numbers between 0 and 32. what is c / 3\nOptions: a. 155, b. 129, c. 61, d. 47, e. 53.3", "output": [ "e" ] }, { "id": "task1678-d1061b078da34c15aa77df35f779abbc", "input": "Problem: exactly 28 % of the reporters for a certain wire service cover local politics in country x. if 30 % of the reporters who cover politics for the wire service do not cover local politics in country x, what percent of the reporters for the wire service do not cover politics ?\nOptions: a. 20 %, b. 42 %, c. 44 %, d. 60 %, e. 84 %", "output": [ "d" ] }, { "id": "task1678-fe5ef81a510e4c679c2ec8432ac0cd6b", "input": "Problem: a group of students decided to collect as many paise from each member of group as is the number of members. if the total collection amounts to rs. 98.01, the number of the member is the group is :\nOptions: a. 57, b. 67, c. 77, d. 99, e. 97", "output": [ "d" ] }, { "id": "task1678-5c48dcda8ecc4a9c90970e2f37d1aad5", "input": "Problem: the speed of a car is 60 km in the first hour and 30 km in the second hour. what is the average speed of the car ?\nOptions: a. 45 kmph, b. 65 kmph, c. 75 kmph, d. 85 kmph, e. 90 kmph", "output": [ "a" ] }, { "id": "task1678-3553435414dd4de1b484d859e9dc9c86", "input": "Problem: how many figures are required for numbering the pages of a book containing 1000 pages ?\nOptions: a. 2726, b. 2878, c. 2893, d. 2765, e. 1811", "output": [ "c" ] }, { "id": "task1678-c55fcf4d5a9c4ab781ee71601f9d2f95", "input": "Problem: if the length of the longest chord of a certain circle is 10, what is the radius of that certain circle ?\nOptions: ['a. 2.5', 'b. 5', 'c. 10', 'd. 15', 'e. 20']", "output": [ "b" ] }, { "id": "task1678-449ae5aa9a054ad3b3c132e20f940325", "input": "Problem: in how many ways 2 boys and 2 girls can be seated in a row so that boys and girls are alternate ?\nOptions: a. 7, b. 8, c. 9, d. 10, e. 11", "output": [ "b" ] }, { "id": "task1678-3f66c3e35f884873ac1fb87270072978", "input": "Problem: for what value of x, is | x – 3 | + | x + 1 | + | x | = 8 ?\nOptions: a. 0, b. 3, c. - 3, d. 4, e. - 2", "output": [ "e" ] }, { "id": "task1678-b1316f4ce5c74dfaa23a128fa335ce88", "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" ] } ], "Instance License": [ "Apache 2.0" ] }