Lots-of-LoRAs/task1420_mathqa_general huggingface dataset:
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 ? 
Options: a ) 12 , b ) 10 , c ) 15 , d ) 17 , e ) 20
Answer: b
Input: Problem: a certain manufacturer produces items for which the production costs consist of annual fixed costs totaling $ 130,000 and variables costs averaging $ 5 per item . if the manufacturer ’ s selling price per item is $ 15 , how many items the manufacturer produce and sell to earn an annual profit of $ 150,000 ? 
Options: a ) 2,858 , b ) 18,667 , c ) 28,000 , d ) 35,000 , e ) 40,000
Answer: c
Input: Problem: if x : y = 3 : 4 , find ( 4 x + 5 y ) : ( 5 x - 2 y ) . 
Options: a ) 32 / 7 , b ) 13 / 7 , c ) 2 / 7 , d ) 32 / 17 , e ) 2 / 17
Answer: a
Input: Problem: calculate the average of all the numbers between 10 and 86 which are divisible by 9 . 
Options: a ) 49.5 , b ) 41.5 , c ) 45.5 , d ) 40.5 , e ) 47.5
Answer: a
Input: Problem: evaluate : 30 - 12 * 3 * 2 = ? 
Options: a ) 62 , b ) 52 , c ) 32 , d ) 12 , e ) 22
Answer: e
Input: Problem: if p # q denotes the least common multiple of p and q , then p = ( ( 12 # 16 ) # ( 18 # 24 ) ) = ? 
Options: a ) 216 , b ) 180 , c ) 144 , d ) 108 , e ) 72
Answer: c
Input: Problem: the sum of all possible two digit numbers formed from 3 different one digit natural numbers when divided by the sum of the original 3 numbers is equal to ? 
Options: a ) 14 , b ) 16 , c ) 18 , d ) 20 , e ) 22
Answer: e
Input: Problem: a parking garage rents parking spaces for $ 10 per week or $ 42 per month . how much does a person save in a year by renting by the month rather than by the week ? 
Options: a ) $ 14 , b ) $ 16 , c ) $ 22 , d ) $ 24 , e ) $ 26
Answer: b
Input: Problem: a picnic attracts 240 persons . there are 40 more men than women , and 40 more adults than children . how many men are at this picnic ? 
Options: a ) 240 , b ) 75 , c ) 110 , d ) 90 , e ) 200
Answer: d
Input: Problem: a and b are two partially filled buckets of water . if 2 liters are transferred from a to b , then a would contain one - third of the amount of water in b . alternatively , if 2 liters are transferred from b to a , b would contain one - half of the amount of water in a . bucket a contains how many liters of water ? 
Options: a ) 11 , b ) 13 , c ) 17 , d ) 21 , e ) 22 / 5
Answer: e
Input: Problem: how many words , with or without meaning , can be formed using all letters of the word red using each letter exactly once ? 
Options: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10
Answer: a
Input: Problem: a large box contains 17 small boxes and each small box contains 25 chocolate bars . how many chocolate bars are in the large box ? 
Options: a ) 250 , b ) 350 , c ) 425 , d ) 550 , e ) 650
Answer: c
Input: Problem: if x and y are integers , what is the least positive number of 24 x + 18 y ? 
Options: a ) 3 , b ) 6 , c ) 9 , d ) 12 , e ) 15
Answer: b
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 ? 
Options: a ) 150 , b ) 250 , c ) 400 , d ) 450 , e ) 550
Answer: c
Input: Problem: on a partly cloudy day , derek decides to walk back from work . when it is sunny , he walks at a speed of s miles / hr ( s is an integer ) and when it gets cloudy , he increases his speed to ( s + 1 ) miles / hr . if his average speed for the entire distance is 2.8 miles / hr , what fraction r of the total distance did he cover while the sun was shining on him ? 
Options: a ) 1 / 4 , b ) 4 / 5 , c ) 1 / 5 , d ) 1 / 6 , e ) 1 / 7
Answer: e
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 ? 
Options: a ) 11 / 14 , b ) 13 / 18 , c ) 4 / 7 , d ) 3 / 7 , e ) 3 / 14
Answer: a
Input: Problem: a jogger running at 9 km / hr along side a railway track is 200 m ahead of the engine of a 210 m long train running at 45 km / hr in the same direction . in how much time will the train pass the jogger ? 
Options: a ) 89 , b ) 20 , c ) 36 , d ) 41 , e ) 34
Answer: d
Input: Problem: in a mixture of 45 litres the ratio of milk to water is 4 : 1 . additional 11 litres of water is added to the mixture . find the ratio of milk to water in the resulting mixture . 
Options: a ) 2 / 1 , b ) 4 / 1 , c ) 2 / 3 , d ) 9 / 5 , e ) 3 / 2
Answer: d
Input: Problem: if 15 students in a class average 70 % on an exam and 10 students average 90 % on the same exam , what is the average in percent for all 25 students ? 
Options: a ) 78 % , b ) 79 % , c ) 80 % , d ) 81 % , e ) 82 %
Answer: a
Input: Problem: a canoe has two oars , left and right . each oar either works or breaks . the failure or non - failure of each oar is independent of the failure or non - failure of the other . you can still row the canoe with one oar . the probability that the left oar works is 3 / 5 . the probability that the right oar works is also 3 / 5 . what is the probability w that you can still row the canoe ? 
Options: a ) 9 / 25 , b ) 10 / 25 , c ) 6 / 10 , d ) 2 / 3 , e ) 21 / 25
Answer: e
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 ? 
Options: a ) 60 , b ) 10 , c ) 19 , d ) 20 , e ) 21
Answer: a
Input: Problem: a grocer has a sale of rs . 5400 , rs . 9000 , rs . 6300 , rs . 7200 and rs . 4500 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 5600 ? 
Options: a ) s . 1200 , b ) s . 5400 , c ) s . 5400 , d ) s . 4999 , e ) s . 5000
Answer: a
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 ? 
Options: a ) rs . 300 , b ) rs . 400 , c ) rs . 480 , d ) rs . 500 , e ) rs . 520
Answer: b
Input: Problem: if you write down all the numbers from 1 to 25 , then how many times do you write 3 ? 
Options: a ) a ) 11 , b ) b ) 3 , c ) c ) 2 , d ) d ) 1 , e ) e ) 6
Answer: b
Input: Problem: what is the sum of the digits of integer k , if k = ( 10 ^ 40 - 79 ) 
Options: a ) 345 , b ) 340 , c ) 343 , d ) 349 , e ) 338
Answer: a
Input: Problem: ashok secured average of 78 marks in 6 subjects . if the average of marks in 5 subjects is 74 , how many marks did he secure in the 6 th subject ? 
Options: a ) 66 , b ) 74 , c ) 78 , d ) 98 , e ) none of these
Answer: d
Input: Problem: what is the sum of the greatest common factor and the lowest common multiple of 12 and 48 ? 
Options: a ) 20 , b ) 60 , c ) 40 , d ) 56 , e ) 20
Answer: b
Input: Problem: in a room with 10 people , 7 people have exactly 1 friend in the room and 6 people have exactly 2 friends in the room ( assuming that friendship is a mutual relationship , i . e . if jane is paul ' s friend , paul is jane ' s friend ) . if two individuals are selected from the room at random , what is the probability that those two individuals are not friends ? 
Options: a ) 5 / 21 , b ) 3 / 7 , c ) 4 / 7 , d ) 5 / 7 , e ) 49 / 45
Answer: e
Input: Problem: the average salary of all the workers in a workshop is rs . 8000 . the average salary of 6 technicians is rs . 12000 and the average salary of the rest is rs . 6000 . the total number of workers in the workshop is ? 
Options: a ) a ) 23 , b ) b ) 21 , c ) c ) 18 , d ) d ) 56 , e ) e ) 12
Answer: c
Input: Problem: free notebooks were distributed in a class among all the students . each student got notebooks which were 1 / 8 th of the number of student . if number of student been half , then each child would have received 16 notebooks in total . find the total number of books distributed among students ? 
Options: a ) 430 , b ) 450 , c ) 460 , d ) 480 , e ) 512
Answer: e
Input: Problem: if x and y are numbers such that ( x + 3 ) ( y - 3 ) = 0 , what is the smallest possible value of x ^ 2 + y ^ 2 
Options: a ) 0 , b ) 3 , c ) 6 , d ) 9 , e ) 12
Answer: d
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 ? 
Options: a ) 4 , b ) 3.5 , c ) 3 , d ) 3.1 , e ) 2.8
Answer: d
Input: Problem: john spends $ 320 buying his favorite dolls . if he buys only small monkey dolls , which are $ 4 cheaper than the large monkey dolls , he could buy 40 more dolls than if he were to buy only large monkey dolls . how much does a large monkey doll cost ? 
Options: a ) $ 7.2 , b ) $ 7.5 , c ) $ 8 , d ) $ 9 , e ) $ 10
Answer: c
Input: Problem: what is the sum of all possible solutions to | x - 2 | ^ 2 + | x - 2 | = 20 ? 
Options: a ) - 1 , b ) 6 , c ) 7 , d ) 8 , e ) 14
Answer: d
Input: Problem: two brothers took the gmat exam , the higher score is u and the lower one is v . if the difference between the two scores is equal to their average , what is the value of v / u ? 
Options: a ) 3 , b ) 2 , c ) 1 / 2 , d ) 1 / 3 , e ) there is n ' t enough data to answer the question .
Answer: d
Input: Problem: if x is an integer and 2.134 × 10 ^ x is less than 2 , 200,000 , what is the greatest possible value for x ? 
Options: a ) 7 , b ) 6 , c ) 5 , d ) 4 , e ) 3
Answer: b
Input: Problem: if the average ( arithmetic mean ) of x , x + 2 , and x + 4 is 103 , what is the value of x ? 
Options: a ) 95 , b ) 97 , c ) 101 , d ) 85 , e ) 87
Answer: c
Input: Problem: find the number which when multiplied by 15 is increased by 196 
Options: a ) 10 , b ) 12 , c ) 14 , d ) 16 , e ) 17
Answer: c
Input: Problem: a is two years older than b who is twice as old as c . if the total of the ages of a , b and c be 27 , the how old is b ? 
Options: a ) 7 , b ) 9 , c ) 8 , d ) 11 , e ) 10
Answer: e
Input: Problem: f ( 1 ) = 1 , where f ( x + y ) = f ( x ) + f ( y ) + 8 xy - 2 . then f ( 7 ) = ? 
Options: a ) 162 , b ) 163 , c ) 164 , d ) 165 , e ) 166
Answer: b
Input: Problem: in a group of pigs and hens , the number of legs are 22 more than twice the number of heads . the number of pigs is 
Options: a ) 5 , b ) 7 , c ) 10 , d ) 12 , e ) 11
Answer: e
Input: Problem: the mean of 40 observations was 36 . it was found later that an observation 34 was wrongly taken as 20 . the corrected new mean is 
Options: a ) 76.55 , b ) 36.35 , c ) 46.15 , d ) 16.05 , e ) 20
Answer: b
Input: Problem: what is the sum of the greatest common factor and the lowest common multiple of 12 and 36 ? 
Options: a ) 48 , b ) 22 , c ) 32 , d ) 36 , e ) 38
Answer: a
Input: Problem: the two lines y = x and x = - 6 intersect on the coordinate plane . if z represents the area of the figure formed by the intersecting lines and the x - axis , what is the side length of a cube whose surface area is equal to 6 z ? 
Options: a ) 16 , b ) 3 √ 2 , c ) 8 , d ) 2 √ 2 , e ) ( √ 2 ) / 3
Answer: b
Input: Problem: 50 % of major airline companies equip their planes with wireless internet access . 70 % of major airlines offer passengers free on - board snacks . what is the greatest possible percentage of major airline companies that offer both wireless internet and free on - board snacks ? 
Options: a ) 20 % , b ) 30 % , c ) 40 % , d ) 50 % , e ) 70 %
Answer: d
Input: Problem: a sum of money is to be distributed among a , b , c , d in the proportion of 5 : 2 : 4 : 3 . if c gets rs . 1100 more than d , what is b ' s share ? 
Options: a ) rs . 500 , b ) rs . 1500 , c ) rs . 2200 , d ) rs . 2500 , e ) none of the above
Answer: c
Input: Problem: in a certain archery competition , points were awarded as follows : the first place winner receives 11 points , the second place winner receives 7 points , the third place winner receives 5 points and the fourth place winner receives 2 points . no other points are awarded . john participated several times in the competition and finished first , second , third , or fourth each time . the product of all the points he received was 53900 . how many times did he participate in the competition ? 
Options: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11
Answer: a
Input: Problem: if a = 105 and a ^ 3 = 21 × 25 × 45 × q , what is the value of q ? 
Options: a ) 35 , b ) 42 , c ) 45 , d ) 49 , e ) 54
Answer: d
Input: Problem: if p and q are positive integers each greater than 1 , and 17 ( p + 1 ) = 25 ( q + 1 ) , what is the least possible value of p + q ? 
Options: a ) 36 , b ) 42 , c ) 40 , d ) 46 , e ) none
Answer: c
Input: Problem: if x is equal to the sum of the integers from 20 to 40 , inclusive , and y is the number of even integers from 20 to 40 , inclusive , what is the value of x + y ? 
Options: a ) 601 , b ) 611 , c ) 621 , d ) 631 , e ) 641
Answer: e
Input: Problem: which number should replace both the asterisks in ( * / 21 ) x ( * / 189 ) = 1 ? 
Options: a ) 21 , b ) 63 , c ) 3969 , d ) 147 , e ) 167
Answer: b
Input: Problem: in a mixed college 160 students are there in one class . out of this 160 students 1 / 2 students are girls . how many boys are there ? 
Options: a ) a ) 40 , b ) b ) 60 , c ) c ) 80 , d ) d ) 120 , e ) e ) 140
Answer: c
Input: Problem: if a = 105 and a ^ 3 = 21 * 25 * 35 * b , what is the value of b ? 
Options: a ) 35 , b ) 42 , c ) 45 , d ) 49 , e ) 63
Answer: e
Input: Problem: 32 = a + 2 b | a | > 2 if ‘ a ’ and ‘ b ’ are both integers , then what is the smallest possible values of ‘ a ’ that can be used to solve the above equation . 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6
Answer: c