Lots-of-LoRAs/task1678_mathqa_answer_selection huggingface dataset:
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.
Options: a. 14 sec, b. 10 sec, c. 12 sec, d. 8 sec, e. 9 sec
Output: 

 a
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 ?
Options: a. $ 20,000, b. $ 25,000, c. $ 35,000, d. $ 30,000, e. $ 45,000
Output: 

 d
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 ?
Options: a. 500, b. 350, c. 828, d. 277, e. 122
Output: 

 a
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 ?
Options: a. 5, b. 9, c. 25, d. 30, e. 45
Output: 

 c
Input: Problem: simplify: 0.6 * 0.6 + 0.6 * 0.6
Options: a. 0.52, b. 0.42, c. 0.48, d. 0.64, e. 0.46
Output: 

 e
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 ?
Options: a. 140, b. 100, c. 85, d. 160, e. 190
Output: 

 a
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 ?
Options: a. s. 300, b. s. 360, c. s. 389, d. s. 384, e. s. 323
Output: 

 d
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 ?
Options: a. 39 ° c, b. 44 ° c, c. 38 ° c, d. 42 ° c, e. none of these
Output: 

 c
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 ?
Options: a. 5, b. 4, c. 7, d. 8, e. 9
Output: 

 b
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 ?
Options: a. 16.5 minutes, b. 33 minutes, c. 49.5 minutes, d. 66 minutes, e. 99 minutes
Output: 

 a
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 ?
Options: a. 90, b. 100, c. 120, d. 160, e. 200
Output: 

 c
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 ) ?
Options: a. 600, b. 700, c. 800, d. 900, e. 1000
Output: 

 d
Input: Problem: 12.5 * 3.2 * 7.8 = ?
Options: a. 312, b. 435, c. 224, d. 646, e. 742
Output: 

 a
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 ?
Options: a. 15 %, b. 20 %, c. 25 %, d. 30 %, e. 40 %
Output: 

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

 a
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 ?
Options: a. 31, b. 36, c. 41, d. 51, e. none
Output: 

 c
Input: Problem: what is 30 % of 80 ?
Options: a. 24, b. 66, c. 367, d. 28, e. 267
Output: 

 a
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 ?
Options: a. 110, b. 70, c. 120, d. 130, e. 140
Output: 

 b
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 ?
Options: a. 500, b. 1500, c. 2000, d. 1400, e. none of these
Output: 

 c
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 ?
Options: a. 151, b. 331, c. 511, d. 691, e. 205
Output: 

 e
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 ?
Options: a. 24, b. 36, c. 72, d. 152409600, e. 216
Output: 

 d
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 ?
Options: a. 600, b. 400, c. 678, d. 867, e. 768
Output: 

 e
Input: Problem: a number is doubled and 5 is added. if the resultant is trebled, it becomes 129. what is that number ?
Options: a. 12, b. 29, c. 27, d. 19, e. 99
Output: 

 d
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 ?
Options: a. $ 10000, b. $ 11000, c. $ 12000, d. $ 10500, e. $ 11500
Output: 

 a
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 ?
Options: a. 3, b. 5, c. 6, d. 7, e. 8
Output: 

 b
Input: Problem: if x represents the product of the first 15 positive integers, then x is not a multiple of :
Options: a. a. 99, b. b. 84, c. c. 72, d. d. 57, e. e. 67
Output: 

 d
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 % ?
Options: a. 8.25, b. 9.25, c. 7.25, d. 10.25, e. 3.25
Output: 

 a
Input: Problem: what is the area of an equilateral triangle whose one side length is 50 ?
Options: a. 225 √ 3, b. 325 √ 3, c. 425 √ 3, d. 525 √ 3, e. 625 √ 3
Output: 

 e
Input: Problem: at what rate percent per annum will a sum of money double in 6 years.
Options: a. 12.5 %, b. 13.5 %, c. 11.5 %, d. 14.5 %, e. 16.6 %
Output: 

 e
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 ?
Options: a. 1: 3, b. 2: 3, c. 3: 4, d. 4: 5, e. none of these
Output: 

 c
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 ?
Options: a. 40,000, b. 45,000, c. 50,000, d. 55,000, e. 60,000
Output: 

 a
Input: Problem: for all real numbers v, an operation is defined by the equation v * = v - v / 3. if ( v * ) * = 16, then v =
Options: a. 30, b. 33, c. 36, d. 39, e. 42
Output: 

 c
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 ?
Options: a. 12, b. 14, c. 16, d. 20, e. 18
Output: 

 a
Input: Problem: a train 120 m long is running at 60 kmph. in how much time will it pass a platform 240 m long ?
Options: a. 15.6 seconds, b. 24.6 seconds, c. 21.6 seconds, d. 30.6 seconds, e. 35.6 seconds
Output: 

 c
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.
Options: a. 40 days, b. 100 days, c. 120 days, d. 110 days, e. 90 days
Output: 

 a
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 ?
Options: ['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
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 ?
Options: a. 1.0, b. 1.9, c. 1.6, d. 1.5, e. 1.1
Output: 

 d
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 ?
Options: a. 200, b. 276, c. 230, d. 240, e. 250
Output: 

 b
Input: Problem: a man walking at a rate of 10 km / hr crosses a bridge in 24 minutes. the length of the bridge is ?
Options: a. 1521, b. 1492, c. 1667, d. 4000, e. 1112
Output: 

 d
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.
Options: a. rs. 2530, b. rs. 2430, c. rs. 2420, d. rs. 2410, e. rs. 2440
Output: 

 c
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
Options: a. 6 minutes, b. 5 minutes, c. 7 minutes, d. 3 minutes, e. 4 minutes
Output: 

 b
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 ?
Options: a. 6, b. 7, c. 8, d. 9, e. 15
Output: 

 e
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 ?
Options: a. 10 metres, b. 5 metres, c. 7.5 metres, d. data inadequate, e. none of these
Output: 

 b
Input: Problem: half a number plus 7 is 17. what is the number ?
Options: a. 8, b. 9, c. 10, d. 11, e. 20
Output: 

 e
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 :
Options: a. 12 kg, b. 60 kg, c. 72 kg, d. 160 kg, e. none of these
Output: 

 d
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 ?
Options: a. 300, b. 200, c. 500, d. 400, e. 250
Output: 

 b
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 ?
Options: a. 75, b. 100, c. 125, d. 175, e. 225
Output: 

 c
Input: Problem: for how many unique pairs of nonnegative integers { a, b } is the equation a ^ 2 - b ^ 2 = 99 true ?
Options: a. 1, b. 3, c. 5, d. 7, e. 9
Output: 

 b
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 :
Options: a. 55: 23, b. 52: 33, c. 52: 53, d. 45: 53, e. 14: 15
Output: 

 e
Input: Problem: find the area of a cuboid of length 8 cm, breadth 6 cm. and height 9 cm.
Options: a. 400 cm cube, b. 410 cm cube, c. 420 cm cube, d. 432 cm cube, e. 480 cm cube
Output: 

 d
Input: Problem: solve for x and check: - 12 x = 72
Options: a. - 4, b. - 2, c. - 6, d. - 12, e. none of these
Output: 

 c