Lots-of-LoRAs/task1678_mathqa_answer_selection huggingface dataset:
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 ?
Options: a. 3 / 11, b. 2 / 11, c. 1 / 11, d. 4 / 11, e. 1 / 11
Output: 

 b
Input: Problem: a number divided by 34 leaves remainder 37 what is the remainder when same number divided by 9
Options: a. 7, b. 8, c. 9, d. 0, e. 1
Output: 

 d
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 ?
Options: a. 4 / 9, b. 5 / 4, c. 5 / 8, d. 5 / 9, e. 7 / 11
Output: 

 e
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. ?
Options: a. s. 10123.77, b. s. 10123.21, c. s. 10123.20, d. s. 10123.28, e. s. 11337.98
Output: 

 e
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.
Options: a. 40, b. 50, c. 60, d. 70, e. 80
Output: 

 c
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 :
Options: a. 26, b. 16, c. 18, d. 19, e. 20
Output: 

 b
Input: Problem: whats the reminder when 58, 458,965, 231,457, 895,684, 525,465, 985,445 is divided by 16
Options: a. 5, b. 7., c. 2., d. 3, e. 9
Output: 

 a
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 ?
Options: a. 767 m, b. 240 m, c. 187 m, d. 176 m, e. 165 m
Output: 

 e
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 ?
Options: a. 110, b. 330, c. 550, d. 594, e. 880
Output: 

 d
Input: Problem: what is the maximum number of points that 10 circles of different radii intersect ?
Options: a. 24, b. 26, c. 33, d. 90, e. 100
Output: 

 d
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 ?
Options: a. 9876, b. 8000, c. 8500, d. 9500, e. 10000
Output: 

 a
Input: Problem: find the smallest 4 - digit number which is a multiple of 112.
Options: a. 896, b. 1008, c. 1120, d. 1024, e. none of these
Output: 

 b
Input: Problem: a 160 meter long train crosses a man standing on the platform in 18 sec. what is the speed of the train ?
Options: a. 96 kmph, b. 94 kmph, c. 32 kmph, d. 56 kmph, e. 76 kmph
Output: 

 c
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 ?
Options: a. 2, b. 15, c. 92, d. 96, e. 98
Output: 

 b
Input: Problem: a train 300 m long can cross an electric pole in 20 sec and then find the speed of the train ?
Options: a. 72, b. 67, c. 54, d. 26, e. 27
Output: 

 c
Input: Problem: what is the sum of all possible solutions to | x - 3 | ^ 2 + | x - 3 | = 12 ?
Options: a. 5, b. 6, c. 7, d. 8, e. 9
Output: 

 a
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 ?
Options: a. 1 hr, b. 1 hr 10 min, c. 50 min, d. 1 hr 30 min, e. 1 hr 45 min
Output: 

 b
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 ?
Options: a. 12.86, b. 15, c. 18, d. 19, e. 25
Output: 

 a
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 ?
Options: a. 24, b. 25, c. 26, d. 27, e. 28
Output: 

 b
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 ?
Options: a. 20, b. 22, c. 24, d. 26, e. 28
Output: 

 d
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 ?
Options: a. 0, b. 1 / 3, c. 2 / 5, d. 1 / 2, e. 3 / 5
Output: 

 e
Input: Problem: calculate 24 x 99
Options: a. 2673, b. 2763, c. 2637, d. 2736, e. 2376
Output: 

 e
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 ?
Options: a. 10 min, b. 12 min, c. 15 min, d. 20 min, e. 18 min
Output: 

 b
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.
Options: a. 400, b. 465, c. 430, d. 450, e. 510
Output: 

 b
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
Options: a. 189, b. 197, c. 221, d. 227, e. 230
Output: 

 a
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 ?
Options: a. 5 mph, b. 10 mph, c. 20 mph, d. 30 mph, e. 40 mph
Output: 

 d
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 ?
Options: a. 110 days, b. 11 days, c. 15 days, d. 20 days, e. 17 days
Output: 

 c
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 ?
Options: ['a. 1 m', 'b. 2 m', 'c. 0.5 m', 'd. 0.75 m', 'e. 1.5 m']
Output: 

 c
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 ?
Options: a. 53.03, b. 50.01, c. 23.23, d. 24.23, e. 41.23
Output: 

 a
Input: Problem: the number of positive integer solutions for the equation x + y + z + t = 30 is
Options: a. 3854, b. 3654, c. 3764, d. 3960, e. 4964
Output: 

 b
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 ?
Options: a. 44.4, b. 44.8, c. 1, d. 19, e. 44.11
Output: 

 a
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 ?
Options: a. 12 %, b. 12.5 %, c. 6.67 %, d. 6.25 %, e. 8.33 %
Output: 

 e
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 ?
Options: a. 8 %, b. 9 %, c. 10 %, d. 11 %, e. 12 %
Output: 

 b
Input: Problem: what is the decimal equivalent of ( 1 / 2 ) ^ 2 ?
Options: a. 0.0016, b. 0.0625, c. 0.16, d. 0.25, e. 0.5
Output: 

 d
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
Options: a. 4 / 19, b. 7 / 19, c. 12 / 19, d. 21 / 99, e. 26 / 77
Output: 

 e
Input: Problem: which expression is the greatest ?
Options: a. 3252 / 3257, b. 3456 / 3461, c. 3591 / 3596, d. 3346 / 3351, e. 3453 / 3458
Output: 

 c
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 ?
Options: ['a. a. 160 degree', 'b. b. 198 degree', 'c. c. 191 degree', 'd. d. 192 degree', 'e. e. 204 degree']
Output: 

 b
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 ?
Options: a. 47 %, b. 59 %, c. 71 %, d. 83 %, e. 95 %
Output: 

 c
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 ?
Options: a. rs. 692.80, b. rs. 820, c. rs. 990, d. rs. 1410, e. none
Output: 

 d
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 ?
Options: a. 216, b. 212, c. 214, d. 210, e. 120
Output: 

 a
Input: Problem: what is the dividend. divisor 15, the quotient is 8 and the remainder is 5
Options: a. a. 145, b. b. 148, c. c. 150, d. d. 125, e. e. 158
Output: 

 d
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 ?
Options: a. 32 m 3, b. 36 m 3, c. 40 m 3, d. 44 m 3, e. 301.6
Output: 

 e
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 ?
Options: a. 11.88 sec, b. 13.8 sec, c. 53.8 sec, d. 10.8 sec, e. 10.4 sec
Output: 

 a
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 ?
Options: a. 2.92, b. 3.04, c. 3.12, d. 3.21, e. 3.35
Output: 

 d
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 ?
Options: a. 115, b. 120, c. 140, d. 152, e. 165
Output: 

 c
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 ?
Options: a. 26, b. 28, c. 30, d. 32, e. 34
Output: 

 d
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 ?
Options: a. 12., b. 9., c. 8., d. 7., e. 6.
Output: 

 b
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.
Options: a. 18, b. 21, c. 24, d. 28, e. 30
Output: 

 a
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 ?
Options: a. 9: 32, b. 9: 30, c. 32: 9, d. 19: 32, e. 18: 30
Output: 

 a
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 ?
Options: a. 3 sec, b. 4 sec, c. 8 sec, d. 6 sec, e. 7 sec
Output: 

 c
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 ?
Options: a. 22 days, b. 18 days, c. 22 6 / 2 days, d. 27 days, e. 9 days
Output: 

 b
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 ?
Options: a. 8, b. 9, c. 10, d. 21, e. 24
Output: 

 e
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 )
Options: a. 1650, b. 2750, c. 3850, d. 4950, e. 6050
Output: 

 d
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 ?
Options: a. 12, b. 15, c. 16, d. 18, e. 14
Output: 

 e
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 ?
Options: a. 9 km / hr, b. 7 km / hr, c. 12 km / hr, d. 15 km / hr, e. 18 km / hr
Output: 

 e
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
Options: a. 8 / 17, b. 7 / 15, c. 3 / 15, d. 5 / 12, e. 1 / 4
Output: 

 d
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
Options: a. 20 seconds, b. 30 seconds, c. 40 seconds, d. 50 seconds, e. none of these
Output: 

 d
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 $ ?
Options: a. 66 %, b. 75 %, c. 70 %, d. 50 %, e. 82 %
Output: 

 b
Input: Problem: 4 dices are thrown at the same time. what is the probability of getting only 2 dices showing the same face ?
Options: a. 4 / 9, b. 5 / 9, c. 11 / 18, d. 7 / 9, e. none of the above
Output: 

 b
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 ?
Options: a. 5 %, b. 7.5 %, c. 10 %, d. 12.5 %, e. 15 %
Output: 

 d
Input: Problem: the curved surface of a sphere is 64 π cm 2. find its radius ?
Options: ['a. 8', 'b. 3', 'c. 4', 'd. 9', 'e. 7']
Output: 

 c
Input: Problem: how many integers are between 4 and 87 / 8, inclusive ?
Options: a. 4, b. 5, c. 7, d. 9, e. 10
Output: 

 c
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
Options: a. 69.5, b. 71.2, c. 60.4, d. 62.1, e. 72.1
Output: 

 a
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. )
Options: a. $ 15,360, b. $ 17,360, c. $ 18,000, d. $ 21,360, e. $ 30,960
Output: 

 e
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 ?
Options: a. 3, b. 3.5, c. 4, d. 4.5, e. 6
Output: 

 c
Input: Problem: if p / q = 3 / 11, then 2 p + q = ?
Options: a. 12, b. 14, c. 17, d. 15, e. 16
Output: 

 c
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 ?
Options: a. 5, b. 6, c. 7, d. 12, e. 9
Output: 

 d
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 ?
Options: ['a. 23', 'b. 21', 'c. 20', 'd. 26', 'e. 27']
Output: 

 b
Input: Problem: 80 % of the population of a village is 64000. the total population of the village is ?
Options: a. 26799, b. 24000, c. 80000, d. 29973, e. 12312
Output: 

 c
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 ?
Options: a. a. 4, b. b. 8, c. c. 10, d. d. 12, e. e. 16
Output: 

 a
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 ?
Options: a. 280, b. 400, c. 420, d. 480, e. 520
Output: 

 b
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 ?
Options: a. 9 %, b. 10 %, c. 11 %, d. 12 %, e. 25 %
Output: 

 e
Input: Problem: a 11 % stock yields 8 %. the market value of the stock is :
Options: a. rs. 72, b. rs. 137.50, c. rs. 112.50, d. rs. 116.50, e. none of these
Output: 

 b
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 ?
Options: a. 20 %, b. 25 %, c. 40 %, d. 60 %, e. 75 %
Output: 

 b
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 ?
Options: a. 101, b. 116, c. m = 130, d. m = 131, e. m = 141
Output: 

 d
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 ?
Options: a. 4 / 5, b. 5 / 7, c. 13 / 15, d. 37 / 45, e. 79 / 90
Output: 

 d
Input: Problem: evaluate 100 ^ 2 - 99 ^ 2 + 98 ^ 2 - 97 ^ 2 + 96 ^ 2 - 95 ^ 2 +... + 2 ^ 2 - 1 ^ 2 = ?
Options: a. 3043, b. 5050, c. 5176, d. 9356, e. 4890
Output: 

 b
Input: Problem: what could be the range of a set consisting of odd multiples of 9 ?
Options: a. 21, b. 24, c. 35, d. 72, e. 70
Output: 

 d
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 ?
Options: a. 150 sec, b. 750 sec, c. 450 sec, d. 825 sec, e. none of these
Output: 

 b
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 ?
Options: a. 1 / 190, b. 1 / 20, c. 1 / 19, d. 1 / 13, e. 1 / 9
Output: 

 d
Input: Problem: at what rate percent on simple interest will rs. 1750 amount to rs. 2000 in 3 years ?
Options: a. 4 %, b. 3 6 / 7 %, c. 4.76 %, d. 5 %, e. 6 %
Output: 

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

 d
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 ?
Options: a. $ 180, b. $ 250, c. $ 260, d. $ 280, e. $ 300
Output: 

 d
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 ?
Options: ['a. 13 1 / 2', 'b. 20', 'c. 18 3 / 4', 'd. 21', 'e. 24']
Output: 

 b
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
Options: a. a. 672, b. b. 688, c. c. 704, d. d. 720, e. e. 750
Output: 

 d
Input: Problem: the mean proportional between 4 and 16 is ?
Options: a. 12, b. 13, c. 14, d. 15, e. 16
Output: 

 e
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 ?
Options: a. 6.25, b. 11.36, c. 7.4, d. 5, e. 6
Output: 

 b
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 ?
Options: a. 2: 6, b. 1: 8, c. 1: 6, d. 2: 1, e. 2: 5
Output: 

 c
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 ?
Options: a. 941,1009, b. 991,1001, c. 991,1009, d. 791,1009, e. 994,1006
Output: 

 e
Input: Problem: if x is a positive number and 2 the square root of x is equal to x / 2, then x =
Options: a. 1 / 16, b. 4, c. 1, d. 2, e. 8
Output: 

 c
Input: Problem: the sides of a cube are in the ratio of 1: 2 the ratio of their volumes is ?
Options: a. 1: 2, b. 1: 4, c. 1: 8, d. 2: 1, e. 2: 4
Output: 

 c
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. )
Options: a. 290, b. 310, c. 330, d. 350, e. 370
Output: 

 c