Lots-of-LoRAs/task1420_mathqa_general huggingface dataset:
Input: Problem: a vendor sells 50 percent of the apples he had and throws away 20 percent of the remainder . the next day , the vendor sells 50 percent of the remaining apples and throws away the rest . in total , what percent of his apples does the vendor throw away ? 
Options: a ) 30 , b ) 35 , c ) 40 , d ) 45 , e ) 50
Answer: a
Input: Problem: a gambler bought $ 3,000 worth of chips at a casino in denominations of $ 20 and $ 100 . that evening , the gambler lost 16 chips , and then cashed in the remainder . if the number of $ 20 chips lost was 2 more or 2 less than the number of $ 100 chips lost , what is the largest amount of money that the gambler could have received back ? 
Options: a ) $ 2,040 , b ) $ 2,120 , c ) $ 1,960 , d ) $ 1,920 , e ) $ 1,400
Answer: b
Input: Problem: given a + b = 1 , find the value of 2 a + 2 b . two solutions are presented below . only one is correct , even though both yield the correct answer . 
Options: a ) 3 , b ) 5 , c ) 4 , d ) 2 , e ) 1
Answer: d
Input: Problem: 3 people each took 5 tests . if the ranges of their scores in the 5 practice tests were 17 , 28 and 35 , 45 what is the minimum possible range in scores of the 3 test - takers ? 
Options: a ) a 17 , b ) b ) 28 , c ) c ) 35 , d ) d ) 45 , e ) e ) 80
Answer: d
Input: Problem: x is a positive integer less than 500 . when x is divided by 7 , the remainder is 1 ; when x is divided by 3 , the remainder is 2 . how many x are there ? 
Options: a ) 21 , b ) 22 , c ) 23 , d ) 24 , e ) 25
Answer: d
Input: Problem: a man â € ™ s current age is ( 2 / 5 ) of the age of his father . after 14 years , he will be ( 1 / 2 ) of the age of his father . what is the age of father at now ? 
Options: a ) 40 , b ) 45 , c ) 38 , d ) 50 , e ) 70
Answer: e
Input: Problem: the maximum number of students among them 1234 pens and 874 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is : 
Options: a ) 91 , b ) 2 , c ) 1001 , d ) 1911 , e ) none of these
Answer: b
Input: Problem: village x has a population of 68000 , which is decreasing at the rate of 1200 per year . village y has a population of 42000 , which is increasing at the rate of 800 per year . in how many years will the population of the two villages be equal ? 
Options: a ) 15 , b ) 19 , c ) 11 , d ) 18 , e ) 13
Answer: e
Input: Problem: the visitors of a modern art museum who watched a certain picasso painting were asked to fill in a short questionnaire indicating whether they had enjoyed looking at the picture and whether they felt they had understood it . according to the results of the survey , all 130 visitors who did not enjoy the painting also did not feel they had understood the painting , and the number of visitors who enjoyed the painting was equal to the number of visitors who felt they had understood the painting . if 3 / 4 of the visitors who answered the questionnaire both enjoyed the painting and felt they had understood the painting , then how many visitors answered the questionnaire ? 
Options: a ) 90 , b ) 120 , c ) 160 , d ) 360 , e ) 520
Answer: e
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 ? 
Options: a ) 30 , b ) 19 , c ) 22 , d ) 3 , e ) 90
Answer: a
Input: Problem: how many numbers from 10 to 50 are exactly divisible by 9 ? 
Options: a ) 9 , b ) 10 , c ) 11 , d ) 12 , e ) 14
Answer: e
Input: Problem: country x taxes each of its citizens an amount equal to 15 percent of the first $ 40000 of income , plus 20 percent of all income in excess of $ 40000 . if a citizen of country x is taxed a total of $ 8000 , what is her income ? 
Options: a ) $ 40,000 , b ) $ 50,000 , c ) $ 64,000 , d ) $ 66,667 , e ) $ 80,000
Answer: b
Input: Problem: for every even positive integer m , f ( m ) represents the product of all even integers from 2 to m , inclusive . for example , f ( 12 ) = 2 x 4 x 6 x 8 x 10 x 12 . what is the greatest prime factor of f ( 26 ) ? 
Options: a ) 23 , b ) 19 , c ) 17 , d ) 13 , e ) 11
Answer: d
Input: Problem: find the value of a / b + b / a , if a and b are the roots of the quadratic equation x 2 + 4 x + 2 = 0 ? 
Options: a ) 8 , b ) 10 , c ) 2 , d ) 16 , e ) 24
Answer: c
Input: Problem: find the sum of first 80 odd numbers 
Options: a ) 6400 , b ) 8000 , c ) 5000 , d ) 4980 , e ) 4960
Answer: a
Input: Problem: if n = 2 ^ 0.15 and n ^ b = 64 , b must equal 
Options: a ) 3 / 80 , b ) 3 / 5 , c ) 40 , d ) 5 / 3 , e ) 80 / 3
Answer: c
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 ? 
Options: a ) 3 , b ) 4 , c ) 7 , d ) 11 , e ) 12
Answer: d
Input: Problem: the difference between the squares of two consecutive odd integers is a square < 1000 whose root equals the combined sum of the digits of the two integers . what is the sum of the digits x of the larger integer ? 
Options: a ) x = 2 , b ) x = 5 , c ) x = 8 , d ) 10 , e ) 11
Answer: a
Input: Problem: in a 20 litre mixture ratio of milk and water is 3 : 1 . how much milk should added so that mixture ratio become 4 : 1 ? 
Options: a ) 3 , b ) 2 , c ) 8 , d ) 6 , e ) 5
Answer: e
Input: Problem: a number is increased by 70 % and then decreased by 70 % . find the net increase or decrease per cent . 
Options: a ) 49 % , b ) 18 % , c ) 17 % , d ) 13 % , e ) 16 %
Answer: a
Input: Problem: chris mixed 5 pounds of raisins with 4 pounds of nuts . if a pound of nuts costs 3 times as much as a pound of raisins , then the total cost of the raisins was what fraction of the total cost of the mixture ? 
Options: a ) 5 / 17 , b ) 1 / 5 , c ) 1 / 4 , d ) 1 / 3 , e ) 3 / 7
Answer: a
Input: Problem: what is the sum of the integers from - 185 to 195 inclusive ? 
Options: a ) 0 , b ) 5 , c ) 375 , d ) 1905 , e ) 965
Answer: d
Input: Problem: a trained covered x km at 40 kmph and another 2 x km at 20 kmph . find the average speed of the train in covering the entire 7 x km . 
Options: a ) 56 , b ) 18 , c ) 24 , d ) 19 , e ) 12
Answer: a
Input: Problem: let f ( x , y ) be defined as the remainder when ( x – y ) ! is divided by x . if x = 50 , what is the maximum value of y for which f ( x , y ) = 0 ? 
Options: a ) 35 , b ) 36 , c ) 40 , d ) 42 , e ) 45
Answer: c
Input: Problem: how many different values of positive integer x , for which | x + 7 | < x , are there ? 
Options: a ) 0 , b ) 2 , c ) 3 , d ) 8 , e ) 16
Answer: b
Input: Problem: paul ' s income is 20 % less than rex ' s income , quentin ' s income is 20 % less than paul ' s income , and sam ' s income is 40 % less than paul ' s income . if rex gave 60 % of his income to sam and 40 % of his income to quentin , quentin ' s new income would be what fraction of sam ' s new income ? 
Options: a ) 26 / 27 , b ) 13 / 17 , c ) 13 / 19 , d ) 12 / 19 , e ) 11 / 19
Answer: a
Input: Problem: if 14 percent of the students at a certain school went to a camping trip and took more than $ 100 , and 75 percent of the students who went to the camping trip did not take more than $ 100 , what percentage of the students at the school went to the camping trip ? 
Options: a ) 95 , b ) 90 , c ) 85 , d ) 80 , e ) 56
Answer: e
Input: Problem: a set of consecutive positive integers beginning with 1 is written on the blackboard . a student came along and erased one number . the average of the remaining numbers is 35 * 7 / 17 . what was the number erased ? 
Options: a ) 7 , b ) 8 , c ) 6 , d ) 5 , e ) 4
Answer: a
Input: Problem: how many integers k greater than 100 and less than 1100 are there such that if the hundreds and the unit digits of k are reversed , the resulting integer is k + 99 ? 
Options: a ) 50 , b ) 60 , c ) 70 , d ) 80 , e ) 90
Answer: e
Input: Problem: a box contains 7 purple , 5 blue and 11 yellow balls . what is the minimum number of tries required to get one blue and one yellow ball ? 
Options: a ) 16 , b ) 17 , c ) 18 , d ) 19 , e ) 20
Answer: d
Input: Problem: a whale goes on a feeding frenzy that lasts for 12 hours . for the first hour he catches and eats 30 kilos of plankton . in every hour after the first , it consumes 2 kilos of plankton more than it consumed in the previous hour . if by the end of the frenzy the whale will have consumed a whopping accumulated total 600 kilos of plankton , how many kilos did he consume on the 10 th hour ? 
Options: a ) 36 , b ) 45 , c ) 28 , d ) 48 , e ) 52
Answer: d
Input: Problem: what is the sum of mean and median of 17 , 45 , 59 , 113 , 76 , 95 , 59 , 35 , 1236 ? 
Options: a ) 50.2 , b ) 45.8 , c ) 54.7 , d ) 61.8 , e ) 10.5
Answer: c
Input: Problem: in a mixture of 45 litres the ratio of milk to water is 4 : 1 . additional 9 litres of water is added to the mixture . find the ratio of milk to water in the resulting mixture . 
Options: a ) 2 / 1 , b ) 4 / 1 , c ) 2 / 3 , d ) 3 / 4 , e ) 3 / 2
Answer: a
Input: Problem: if z is a multiple of 9402 , what is the remainder when z ^ 2 is divided by 9 ? 
Options: a ) 0 , b ) 2 , c ) 4 , d ) 6 , e ) 8
Answer: a
Input: Problem: among 7 numbers the average of first 4 numbers is 13 and the average of last 4 numbers is 15 . the sum of last 3 numbers is 55 . the square of the fourth number is equal to the last number then what is the last number ? 
Options: a ) 60 , b ) 52 , c ) 5 , d ) 25 , e ) 125
Answer: d
Input: Problem: the total age of a and b is 14 years more than the total age of b and c . c is how many year younger than a 
Options: a ) 11 , b ) 12 , c ) 13 , d ) 14 , e ) 15
Answer: d
Input: Problem: a special municipal payroll tax charges not tax on a payroll less than $ 200,000 and only 0.2 % on a company ’ s payroll above $ 200,000 . if belfried industries paid $ 400 in this special municipal payroll tax , then they must have had a payroll of 
Options: a ) $ 180,000 , b ) $ 400,000 , c ) $ 220,000 , d ) $ 402,000 , e ) $ 2 , 200,000
Answer: b
Input: Problem: mr . kramer , the losing candidate in a two - candidate election , received 942,568 votes , which was exactly 40 percent of all votes cast . approximately what percent of the remaining votes would he need to have received in order to have won at least 50 percent of all the votes cast ? 
Options: a ) 10 % , b ) 12 % , c ) 15 % , d ) 17 % , e ) 20 %
Answer: d
Input: Problem: xavier , yvonne , and zelda each try independently to solve a problem . if their individual probabilities for success are 1 / 5 , 1 / 2 and 5 / 8 , respectively , what is the probability that xavier and yvonne , but not zelda , will solve the problem ? 
Options: a ) 11 / 8 , b ) 3 / 80 , c ) 9 / 64 , d ) 5 / 64 , e ) 3 / 64
Answer: b
Input: Problem: if 3 a = 4 b and ab ≠ 0 , what is the ratio of a / 4 to b / 3 ? 
Options: a ) 64 / 27 , b ) 9 / 16 , c ) 1 , d ) 6 / 8 , e ) 8 / 6
Answer: c
Input: Problem: find the remainder when 3 ^ 27 is divided by 5 ? 
Options: a ) 3 , b ) 2 , c ) 4 , d ) 1 , e ) 5
Answer: b
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 ? 
Options: a ) s . 800 , b ) s . 810 , c ) s . 820 , d ) s . 900 , e ) s . 920
Answer: a
Input: Problem: the mean of 50 observations was 36 . it was found later that an observation 58 was wrongly taken as 43 . the corrected new mean is ? 
Options: a ) 36.7 , b ) 36.1 , c ) 36.5 , d ) 36.9 , e ) 36.3
Answer: e
Input: Problem: the average student age of a certain class which has 30 students is 10 . if one student aged 11 go to another class and the age of the class teacher is included the average changes to 11 . what is the age of class teacher ? 
Options: a ) 32 , b ) 41 , c ) 45 , d ) 48 , e ) 50
Answer: b
Input: Problem: what is 2 2 / 3 - 1 1 / 4 divided by 1 / 2 - 1 / 4 ? 
Options: a ) 17 / 36 , b ) 36 / 17 , c ) 17 / 6 , d ) 17 / 3 , e ) 51 / 4
Answer: d
Input: Problem: there are 2 white plates , 6 green plates , 8 red plates , 4 pink plates , and 10 purple plates in the cabinet . what is the least number of plates that you have to pull out to make sure that you will have a matching pair ? ( assume that all the plates are identical except for the color ) 
Options: a ) 2 , b ) 4 , c ) 12 , d ) 7 , e ) 6
Answer: e
Input: Problem: find the missing value : ? - 1936248 = 1635773 
Options: a ) 3572021 , b ) 3570221 , c ) 3572012 , d ) 3752012 , e ) none of them
Answer: a