Lots-of-LoRAs/task1678_mathqa_answer_selection huggingface dataset:
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 ?
Options: a. 32: 99, b. 82: 31, c. 8: 15, d. 34: 89, e. 35: 21
Output: 

 c
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.
Options: a. 5 / 21, b. 9 / 42, c. 6 / 22, d. 4 / 21, e. 3 / 21
Output: 

 b
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 ?
Options: a. 12, b. 13, c. 14, d. 15, e. 16
Output: 

 d
Input: Problem: what is the least integer greater than 0 + 0.5 ?
Options: a. – 2, b. – 1, c. 0, d. 1, e. 2
Output: 

 d
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.
Options: a. 462, b. 450, c. 480, d. 504, e. 555
Output: 

 d
Input: Problem: if the perimeter of a rectangular garden is 700 m, its length when its breadth is 100 m is ?
Options: a. 299 m, b. 777 m, c. 200 m, d. 250 m, e. 128 m
Output: 

 d
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.
Options: a. 11.07 sec, b. 10.07 sec, c. 13.07 sec, d. 12.07 sec, e. 14.07 sec
Output: 

 b
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 ?
Options: a. 900, b. 2217, c. 2889, d. 2777, e. 2991
Output: 

 a
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 ?
Options: a. 240, b. 278, c. 209, d. 267, e. 262
Output: 

 a
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 ?
Options: a. 25, b. 37.5, c. 60, d. 62.5, e. 75
Output: 

 c
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 ?
Options: ['a. 120', 'b. 240', 'c. 360', 'd. 380', 'e. 840']
Output: 

 e
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 ?
Options: a. 400, b. 625, c. 1,250, d. 2,500, e. 312
Output: 

 e
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 ?
Options: a. 2, b. 3, c. 4, d. 6, e. 12
Output: 

 e
Input: Problem: if two dice are thrown together, the probability of getting an even number on both dice is
Options: a. 1 / 4, b. 1 / 5, c. 1 / 6, d. 1 / 3, e. 1 / 2
Output: 

 a
Input: Problem: in what time will a train 100 metres long cross an electric pole, if its speed be 144 km / hr ?
Options: a. 2.5 sec, b. 4.25 sec, c. 5 sec, d. 12.5 sec, e. none
Output: 

 a
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 ?
Options: a. $ 45.10, b. $ 30.22, c. $ 28.44, d. $ 67.54, e. $ 65.23
Output: 

 b
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 ?
Options: a. s. 43000, b. s. 50000, c. s. 57000, d. s. 38000, e. s. 62000
Output: 

 d
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 ?
Options: a. 45, b. 54, c. 34, d. 58, e. 56
Output: 

 b
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 ?
Options: a. 4, b. 5, c. 56, d. 12, e. 7
Output: 

 d
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 ?
Options: a. a. 10,700, b. b. 16,000, c. c. 10,900, d. d. 11,000, e. e. 11,100
Output: 

 b
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 ?
Options: a. 23.5 %, b. 50 %, c. 35 %, d. 37.5 %, e. 75 %
Output: 

 b
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 ?
Options: a. 7 %, b. 12 %, c. 74 %, d. 10 %, e. 45 %
Output: 

 a
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 ?
Options: ['a. 3', 'b. 27', 'c. 13', 'd. 12', 'e. 15']
Output: 

 b
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. ?
Options: a. 2160, b. 2350, c. 2000, d. 2300, e. none of these
Output: 

 d
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 ?
Options: a. a. 30, b. b. 20, c. c. 83, d. d. 21, e. e. 52
Output: 

 a
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 ?
Options: a. 42, b. 38, c. 44, d. 36, e. 46
Output: 

 a
Input: Problem: if x + y = 3 and y / x = 2 then y = ?
Options: a. 0, b. 1 / 2, c. 1, d. 3 / 2, e. 2
Output: 

 e
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 ?
Options: a. 12, b. 26, c. 16, d. 45, e. 12
Output: 

 d
Input: Problem: a cycle is bought for rs. 900 and sold for rs. 1140, find the gain percent ?
Options: a. 11, b. 27, c. 99, d. 77, e. 18
Output: 

 b
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 ?
Options: a. 75 kg, b. 65 kg, c. 55 kg, d. 85 kg, e. 105 kg
Output: 

 e
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
Options: a. 30, b. 35, c. 40, d. 45, e. 50
Output: 

 c
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 ?
Options: a. $ 32000, b. $ 36000, c. $ 40000, d. $ 42000, e. $ 45,000
Output: 

 d
Input: Problem: ajay can ride 50 km in 1 hour. in how many hours he can ride 1500 km ?
Options: a. 30 hrs, b. 15 hrs, c. 20 hrs, d. 25 hrs, e. 18 hrs
Output: 

 a
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 ?
Options: a. 732, b. 678, c. 698, d. 710, e. 729
Output: 

 a
Input: Problem: a fair price shopkeeper takes 10 % profit on his goods. he lost 60 % goods during theft. his loss percent is :
Options: a. 72 %, b. 42 %, c. 56 %, d. 12 %, e. 22 %
Output: 

 c
Input: Problem: an article is bought for rs. 675 and sold for rs. 775, find the gain percent ?
Options: a. 73 %, b. 14.8 %, c. 33 1 / 3 %, d. 93 1 / 3 %, e. 33 1 / 3 %
Output: 

 b
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 ?
Options: ['a. 5', 'b. 6', 'c. 7', 'd. 8.485', 'e. 8']
Output: 

 d
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 ?
Options: a. 41.5 %, b. 42.75 %, c. 43 %, d. 45 %, e. 45.75 %
Output: 

 b
Input: Problem: what is the smallest integer k for which 64 ^ k > 4 ^ 20 ?
Options: a. 4, b. 5, c. 6, d. 7, e. 8
Output: 

 d
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 ?
Options: a. 6, b. 8, c. 10, d. 12, e. 14
Output: 

 d
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 ?
Options: a. 8 %, b. 15 %, c. 45 %, d. 52 %, e. 58 %
Output: 

 e
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 ?
Options: a. 5: 7, b. 18: 23, c. 17: 19, d. 20: 21, e. 2: 3
Output: 

 d
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 ?
Options: a. rs. 6289, b. rs. 6298, c. rs. 6290, d. rs. 7166, e. rs. 7708
Output: 

 d
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.
Options: a. 8, b. 10, c. 12, d. 14, e. 16
Output: 

 a
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 ?
Options: a. 20 %, b. 42 %, c. 44 %, d. 60 %, e. 84 %
Output: 

 d
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 ?
Options: a. 400 meters, b. 1111 meters, c. 1777 meters, d. 1822 meters, e. none of these
Output: 

 a
Input: Problem: when 1 / 20 % of 8,000 is subtracted from 1 / 10 of 8,000, the difference is
Options: a. 50, b. 200, c. 380, d. 798, e. 400
Output: 

 d
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 ?
Options: a. 14, b. 20, c. 28, d. 32, e. 36
Output: 

 c
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
Options: a. 960, b. 980, c. 900, d. 970, e. 1000
Output: 

 e
Input: Problem: how many positive integers less than 100 are neither multiples of 2 or 3 ?
Options: a. 30, b. 31, c. 32, d. 33, e. 34
Output: 

 d
Input: Problem: the sector of a circle has radius of 28 cm and central angle 135 o. find its perimeter ?
Options: a. 122 cm, b. 92.2 cm, c. 28.9 cm, d. 29.2 cm, e. 98.2 cm
Output: 

 a
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 ?
Options: a. 33, b. 66, c. 88, d. 11, e. 281
Output: 

 d
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 :
Options: a. 89, b. 90, c. 91, d. 92, e. 93
Output: 

 b
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 ?
Options: a. 150, b. 250, c. 415, d. 200, e. 312
Output: 

 d
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 ?
Options: a. 23.75, b. 22, c. 20, d. 19.20, e. none of these
Output: 

 c
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.
Options: a. 300, b. 200, c. 250, d. 150, e. 160
Output: 

 c
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 ?
Options: a. 5,9, b. 7,9, c. 4,7, d. 7,6, e. 6,9
Output: 

 d
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 ?
Options: a. 0.125 %, b. 0.2 %, c. 0.8 %, d. 1.25 %, e. 2.0 %
Output: 

 b
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 ?
Options: a. 18.25, b. 20.75, c. 22.25, d. 24.25, e. 26.75
Output: 

 d