Lots-of-LoRAs/task1678_mathqa_answer_selection huggingface dataset:
Input: Problem: one computer can upload 100 megabytes worth of data in 2 seconds. two computers, including this one, working together, can upload 1300 megabytes worth of data in 10 seconds. how long would it take for the second computer, working on its own, to upload 100 megabytes of data ?
Options: a. 6.6, b. 7, c. 9, d. 11, e. 13
Output: 

 a
Input: Problem: in my, xiang sold 15 used cars. for these 15 used cars the range of selling prices was 15000 and the lowest selling price was 4500. in june, xiang sold 10 cars. for these 10 cars the range of selling was 16000 and the lowest selling price was 5000. what was the range of selling prices for the 25 used car sold by xiang in may and june ?
Options: a. 15,600, b. 15,750, c. 16,820, d. 18,100, e. 19,200
Output: 

 c
Input: Problem: ann and bob drive separately to a meeting. ann ' s average driving speed is greater than bob ' s avergae driving speed by one - third of bob ' s average driving speed, and ann drives twice as many miles as bob. what is the ratio e of the number of hours ann spends driving to the meeting to the number of hours bob spends driving to the meeting ?
Options: a. 8: 3, b. 3: 2, c. 4: 3, d. 2: 3, e. 3: 8
Output: 

 b
Input: Problem: a train 310 m long is running at a speed of 45 km / hr. in what time will it pass a bridge 140 m long ?
Options: a. 40, b. 56, c. 41, d. 36, e. 34
Output: 

 d
Input: Problem: one hour before john started walking from p to q, a distance of 33 miles, ann had started walking along the same road from q to p. ann walked at a constant speed of 3 miles per hour and john at 2 miles per hour. how many miles had ann walked when they met ?
Options: a. 6 miles, b. 8,4 miles, c. 9 miles, d. 9,6 miles, e. 21 miles
Output: 

 e
Input: Problem: the h. c. f of two numbers is 13 and their l. c. m is 2200. if one of the numbers is 286, then the other is ?
Options: a. 85, b. 90, c. 95, d. 100, e. 105
Output: 

 d
Input: Problem: in a room filled with 6 people, all 6 people have exactly 1 sibling in the room. if two individuals are selected from the room at random, what is the probability that those two individuals are not siblings ?
Options: a. 3 / 5, b. 4 / 5, c. 5 / 6, d. 5 / 12, e. 7 / 12
Output: 

 b
Input: Problem: the difference between the value of a number increased by 12.5 % and the value of the original number decreased by 25 % is 30. what is the original number e ?
Options: a. 60, b. 80, c. 40, d. 120, e. 160
Output: 

 b
Input: Problem: the first doughnut is priced at $ 1 and then if you purchase additional doughnuts as dozens then the price is $ 6 / dozen. what is the total number of doughnuts purchased if you paid $ 24 ?
Options: a. 44, b. 46, c. 48, d. 50, e. 52
Output: 

 c
Input: Problem: ravi purchased a refrigerator and a mobile phone for rs. 15000 and rs. 8000 respectively. he sold the refrigerator at a loss of 2 percent and the mobile phone at a profit of 10 percent. overall he make a.
Options: a. 228, b. 288, c. 500, d. 200, e. 881
Output: 

 c
Input: Problem: how many odd factors does 460 have ?
Options: a. 3, b. 4, c. 5, d. 6, e. 8
Output: 

 b
Input: Problem: a can complete the job in 5 hours and b can complete the same job in 3 hours. a works for 1 hour and then b joins and both complete the job. what fraction of the job did b complete
Options: a. 1 / 8, b. 3 / 10, c. 1 / 2, d. 5 / 6, e. 8 / 9
Output: 

 a
Input: Problem: at a certain university, 65 % 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. 50, d. 62.5, e. 75
Output: 

 d
Input: Problem: in a dance competition the points in each round for the first, second, third and fourth position were 10050, 2010. no other points were given. ashita participated in several rounds in the competition and the product of her score was 50000. in how many rounds did she participate ?
Options: a. 3, b. 2, c. 1, d. 5, e. can not be determined
Output: 

 e
Input: Problem: before 7 years, dog a ’ s age was 4 times of dog b ’ s age and after 4 years, dog a ’ s age will be 3 times of dog b ’ s age. what is the difference of dog a ’ s age and dog b ’ s now ?
Options: a. 36, b. 42, c. 54, d. 60, e. 70
Output: 

 e
Input: Problem: a, b and c started a business with a total investment of rs. 72000. a invests rs. 6000 more than b and b invests rs. 3000 less than c. if the total profit at the end of a year is rs. 8640, find b ' s share.
Options: a. rs. 3240, b. rs. 2520, c. rs. 2880, d. rs. 3360, e. none of these
Output: 

 b
Input: Problem: two positive integers differ by 4, and sum of their reciprocals is 2. then one of the numbers is
Options: a. a. 3, b. 2, c. c. 5, d. d. 21, e. e. 28
Output: 

 b
Input: Problem: how many cubes of 10 cm edge can be put in a cubical box of 1 m edge ?
Options: a. 1, b. 10, c. 100, d. 1000, e. none
Output: 

 d
Input: Problem: by investing in 1623 % stock at 64, one earns rs. 1600. the investment made is
Options: a. s. 9600, b. s. 7500, c. s. 5640, d. s. 6144, e. s. 6760
Output: 

 d
Input: Problem: joe needs to paint all the airplane hangars at the airport, so he buys 360 gallons of paint to do the job. during the first week, he uses 1 / 4 of all the paint. during the second week, he uses 1 / 2 of the remaining paint. how many gallons of paint has joe used ?
Options: a. 18, b. 225, c. 175, d. 216, e. 250
Output: 

 b
Input: Problem: one - third of 1206 is what percent of 162 ?
Options: a. 324.11, b. 300.12, c. 248.14, d. none of these, e. can not be determined
Output: 

 c
Input: Problem: if y > 0, ( 9 y ) / 20 + ( 3 y ) / 10 is what percent of y ?
Options: a. 40 %, b. 50 %, c. 60 %, d. 70 %, e. 75 %
Output: 

 e
Input: Problem: in a party every person shakes hands with every other person. if there were a total of 120 handshakes in the party then what is the number of persons present in the party ?
Options: a. 15, b. 16, c. 17, d. 18, e. 19
Output: 

 b
Input: Problem: at the end of the month, a certain ocean desalination plant ’ s reservoir contained 30 million gallons of water. this amount is twice the normal level. if this amount represents 75 % of the reservoir ’ s total capacity, how many million gallons short of total capacity is the normal level ?
Options: a. 10, b. 15, c. 20, d. 25, e. 30
Output: 

 c
Input: Problem: the population of a bacteria colony doubles every day. if it was started 8 days ago with 2 bacteria and each bacteria lives for 12 days, how large is the colony today ?
Options: a. 512, b. 768, c. 1024, d. 2048, e. 4096
Output: 

 a
Input: Problem: convert the 13 / 54 m / s into kilometers per hour ?
Options: a. 1.7, b. 1.5, c. 0.86, d. 1.1, e. 1.2
Output: 

 c
Input: Problem: on a saturday night, each of the rooms at a certain motel was rented for either $ 40 or $ 60. if 10 of the rooms that were rented for $ 60 had instead been rented for $ 40, then the total rent the motel charged for that night would have been reduced by 40 percent. what was the total rent the motel actually charged for that night ?
Options: a. $ 500, b. $ 800, c. $ 1,000, d. $ 1,600, e. $ 2,400
Output: 

 a
Input: Problem: zachary is helping his younger brother, sterling, learn his multiplication tables. for every question that sterling answers correctly, zachary gives him 3 pieces of candy. for every question that sterling answers incorrectly, zachary takes away two pieces of candy. after 6 questions, if sterling had answered 2 more questions correctly, he would have earned 31 pieces of candy. how many of the 6 questions did zachary answer correctly ?
Options: a. 6, b. 7, c. 8, d. 9, e. 10
Output: 

 b
Input: Problem: find the value of ( 45 + 23 / 89 ) × 89
Options: a. 4028, b. 4026, c. 4248, d. 4538, e. 9028
Output: 

 a
Input: Problem: rajani has to read a book of 445 pages. she has already read the first 157 pages of the book and if she reads 24 pages of the book everyday then how long will she take now to complete the book ?
Options: a. 25 days, b. 20 days, c. 46 days, d. 21 days, e. none of these
Output: 

 e
Input: Problem: a dog takes 5 leaps for every 7 leaps of a hare. if one leap of the dog is equal to 3 leaps of the hare, the ratio of the speed of the dog to that of the hare is :
Options: a. 16: 7, b. 15: 7, c. 20: 7, d. 7: 15, e. 14: 7
Output: 

 b
Input: Problem: the dimensions of a rectangular solid are 4 inches, 5 inches, and 12 inches. if a cube, a side of which is equal to one of the dimensions of the rectangular solid, is placed entirely within thespherejust large enough to hold the cube, what the ratio of the volume of the cube to the volume within thespherethat is not occupied by the cube ?
Options: a. 10: 17, b. 2: 5, c. 5: 16, d. 25: 7, e. 10: 21
Output: 

 e
Input: Problem: if an organization were to sell n tickets for a theater production, the total revenue from ticket sales would be 20 percent greater than the total costs of the production. if the organization actually sold all but 5 percent of the n tickets, the total revenue from ticket sales was what percent greater than the total costs of the production ?
Options: a. 4 %, b. 10 %, c. 14 %, d. 15 %, e. 18 %
Output: 

 c
Input: Problem: a train 110 m long is running with a speed of 90 km / h. in how many seconds will the train pass a man who is running at 9 km / h in the direction opposite to that in which the train is going ?
Options: a. 3, b. 4, c. 5, d. 6, e. 7
Output: 

 b
Input: Problem: a car is 15 minutes late by running at a speed of 4 / 5 th of its actual speed. the actual time taken by the car to cover that distance is :
Options: a. 30 minutes, b. 1 hour, c. 2 hours, d. 3 hours, e. none of these
Output: 

 b
Input: Problem: a cube of edge 16 cm is immersed completely in a rectangular vessel containing water. if the dimensions of the base of vessel are 20 cm * 15 cm, find the rise in water level ?
Options: a. 6 cm, b. 8.25 cm, c. 13.65 cm, d. 15.12 cm, e. 20.62 cm
Output: 

 c
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 ( 24 ) ?
Options: a. 23, b. 19, c. 17, d. 13, e. 11
Output: 

 e
Input: Problem: in a group of 100 cars, 47 cars do not have air conditioning. if at least 53 cars have racing stripes, what is the greatest number of cars that could have air conditioning but not racing stripes ?
Options: a. 45, b. 47, c. 49, d. 51, e. 53
Output: 

 b
Input: Problem: a cricket player whose bowling average was 23.50 runs per wicket, takes 5 wicket for 52 runs in a match. due to this his average decreases by 0.50. what will be the number of wickets taken by him till the last match ?
Options: a. 64, b. 72, c. 131, d. 456, e. 108
Output: 

 c
Input: Problem: a dishonest dealer professes to sell goods at the cost price but uses a weight of 920 grams per kg, what is his percent ?
Options: a. 22 %, b. 25 %, c. 77 %, d. 99 %, e. 8.7 %
Output: 

 e
Input: Problem: in a 100 m race a beats b by 25 m b beats c by 4 then a beats c by
Options: a. 24 m, b. 25 m, c. 26 m, d. 27 m, e. 28 m
Output: 

 e
Input: Problem: how many three - element subsets of { 1,2, 3,4 } are there that do not contain the pair of elements 2 and 4 ?
Options: a. 1, b. 2, c. 3, d. 4, e. 5
Output: 

 b
Input: Problem: if 40 % 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: 3, b. 2: 5, c. 4: 7, d. 5: 2, e. none of these
Output: 

 a
Input: Problem: a furniture store owner decided to drop the price of her recliners by 20 % to spur business. by the end of the week she had sold 50 % more recliners. what is the percentage increase of the gross ?
Options: a. 10 %, b. 15 %, c. 20 %, d. 25 %, e. 50 %
Output: 

 c
Input: Problem: if a ^ 2 is divisible by 240 what is the least possible value of integer a ?
Options: a. 120, b. 30, c. 90, d. 60, e. 12
Output: 

 d
Input: Problem: every year an amount increases by 1 / 8 th of itself. how much will it be after two years if its present value is rs. 70400 ?
Options: a. 89100, b. 81028, c. 27772, d. 29889, e. 22312
Output: 

 a
Input: Problem: the diagonal of a cube is 8 √ 3. find its volume and surface area.
Options: ['a. 354', 'b. 384', 'c. 324', 'd. 344', 'e. 364']
Output: 

 b
Input: Problem: x can finish a work in 21 days. y can finish the same work in 15 days. yworked for 10 days and left the job. how many days does x alone need to finish the remaining work ?
Options: a. 3, b. 5, c. 7, d. 8, e. 9
Output: 

 c
Input: Problem: how many seconds will a train 100 meters long take to cross a bridge 140 meters long if the speed of the train is 36 kmph ?
Options: a. 26, b. 24, c. 25, d. 82, e. 27
Output: 

 b
Input: Problem: in a certain supermarket, a triangular display of cans is arranged in 9 rows, numbered 1 through 9 from top to bottom. each successively numbered row contains 3 more cans than the row immediately above it. if there are fewer than 120 cans in the entire display, how many cans are in the seventh row ?
Options: a. 13, b. 15, c. 17, d. 19, e. 21
Output: 

 d
Input: Problem: in an exam, gibi scored 59 percent, jigi scored 55 percent, mike scored 99 percent and lizzy 67 percent. the maximum score awarded in the exam is 700. find the average mark scored by all the 4 students ?
Options: a. 471, b. 490, c. 480, d. 453, e. 456
Output: 

 b
Input: Problem: a student appeared in the mock cat. the test paper contained 3 sections namely qa, di and va. the percentage marks in all va was equal to the average of percentage marks in all the 3 sections. coincidentally, if we reverse the digit of the percentage marks of qa we get the percentage marks of di. the percentage marks in va scored by student could be :
Options: a. 81, b. 48, c. 66, d. 69, e. none of these
Output: 

 c
Input: Problem: the triplicate ratio of 1: 3 is ?
Options: a. 1: 27, b. 1: 8, c. 1: 3, d. 1: 1, e. 1: 2
Output: 

 a
Input: Problem: in what ratio must tea at rs. 62 per kg be mixed with tea at rs. 72 per kg so that the mixture must be worth rs. 64.50 per kg ?
Options: a. 3: 1, b. 2: 1, c. 5: 2, d. 3: 2, e. 3: 4
Output: 

 a
Input: Problem: if a - b = 6 and a 2 + b 2 = 50, find the value of ab.
Options: a. a. 7, b. b. 12, c. c. 15, d. d. 18, e. e. 20
Output: 

 a
Input: Problem: the average of 11 numbers is 500. out of 11 numbers the average of first 6 no. is 50, and last 6 numbers is 60 then find 6 th number ?
Options: a. 95, b. 80, c. 110, d. 120, e. 72
Output: 

 c
Input: Problem: two trains 111 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 40 km and the other at the rate of 50 kmph. in what time will they be completely clear of each other from the moment they meet ?
Options: a. 11.04, b. 10.0, c. 6.85, d. 5.85, e. 6.15
Output: 

 a
Input: Problem: a collection of books went on sale, and 2 / 3 of them were sold for $ 2.25 each. if none of the 40 remaining books were sold, what was the total amount received for the books that were sold ?
Options: a. $ 160, b. $ 150, c. $ 280, d. $ 200, e. $ 180
Output: 

 e
Input: Problem: the lcm of two numbers is 2310 and hcf is 30. if one of the numbers is 210. then what is the other number ?
Options: a. 715, b. 825, c. 330, d. 582, e. 465
Output: 

 c
Input: Problem: evaluate ( 12 + 22 + 32 +... + 102 )
Options: a. 430, b. 720, c. 385, d. 265, e. 295
Output: 

 c
Input: Problem: a bag consists of 20 marbles, of which 5 are blue, 7 are red, and the remainder are white. if lisa is to select a marble from the bag at random, what is the probability that the marble will be red or white ?
Options: a. 3 / 4, b. 2 / 4, c. 1 / 4, d. 1 / 8, e. 1 / 16
Output: 

 a
Input: Problem: during the first two weeks of january, the total rainfall in springdale was 20 inches. if the rainfall during the second week was 1.5 times the rainfall during the first week, what was the rainfall during the second week of january ?
Options: a. 5 inches, b. 6 inches, c. 9 inches, d. 10 inches, e. 12 inches
Output: 

 e
Input: Problem: in what ratio must a grocer mix two varieties of pulses costing rs. 15 and rs. 20 per kg respectively so as to get a mixture worth rs. 16.50 per kg ?
Options: a. 3: 7, b. 5: 7, c. 7: 3, d. 7: 5, e. none
Output: 

 c
Input: Problem: what quantity of water should taken out to concentrate 21 liters of 40 % acidic liquid to 60 % acidic liquid ?
Options: a. 5 liters, b. 10 liters, c. 7 liters, d. 8 liters, e. 6 liters
Output: 

 c
Input: Problem: a father is now 3 times as old as his son. 8 years back, he was 4 times as old as his son. the age of the son ( in years ) is
Options: a. 12, b. 24, c. 18, d. 27, e. 25
Output: 

 b
Input: Problem: john can complete a given task in 18 days. jane will take only 12 days to complete the same task. john and jane set out to complete the task by beginning to work together. however, jane was indisposed 6 days before the work got over. in how many days did the work get over from the time john and jane started to work on it together ?
Options: a. 11, b. 34 / 5, c. 44 / 5, d. 54 / 5, e. 12
Output: 

 d
Input: Problem: one night 17 percent of the female officers on a police force were on duty. if 204 police officers were on duty that night and half of these were female officers, how many female officers were on the police force ?
Options: a. 420, b. 480, c. 540, d. 600, e. 660
Output: 

 d
Input: Problem: the length of a room is 5.5 m and width is 3.75 m. find the cost of paying the floor by slabs at the rate of rs. 1200 per sq. metre.
Options: a. rs. 15,000, b. rs. 24,750, c. rs. 15,600, d. rs. 16,500, e. none
Output: 

 b
Input: Problem: if the cost price of 18 articles is equal to the selling price of 16 articles, what is the percentage of profit or loss that the merchant makes ?
Options: a. 20 % loss, b. 12.5 % profit, c. 33.33 % loss, d. 30.33 % loss, e. none of these
Output: 

 b
Input: Problem: how many seconds will a 800 meter long train moving with a speed of 63 km / hr take to cross a man walking with a speed of 3 km / hr in the direction of the train ?
Options: a. 48, b. 52, c. 38, d. 42, e. 45
Output: 

 a
Input: Problem: ages of two persons differ by 20 years. if 6 year ago, the elder one be 3 times as old the younger one, find their present age
Options: a. 12,28, b. 14,30, c. 16,36, d. 18,34, e. 19,34
Output: 

 c
Input: Problem: when positive integer x is divided by positive integer y, the remainder is 9. if x / y = 96.45, what is the value of y ?
Options: a. 96, b. 75, c. 48, d. 20, e. 12
Output: 

 d
Input: Problem: a cistern has a leak which would empty the cistern in 20 minutes. a tap is turned on which admits 5 liters a minute into the cistern, and it is emptied in 24 minutes. how many liters does the cistern hold ?
Options: a. 480, b. 487, c. 481, d. 729, e. 600
Output: 

 e
Input: Problem: a box contain the number of balls which is as much greater than 44 is less than 70. the number of balls is ?
Options: a. 47, b. 114, c. 74, d. 67, e. 57
Output: 

 e
Input: Problem: the ratio of the volumes of two cubes is 125: 512. what is the ratio of their total surface areas ?
Options: a. 81: 121, b. 25: 64, c. 729: 1331, d. 27: 121, e. none of these
Output: 

 b
Input: Problem: a and b invests rs. 2000 and rs. 4000 respectively in a business. if a doubles his capital after 6 months. in what ratio should a and b divide that year ' s profit ?
Options: a. 3: 5, b. 3: 4, c. 9: 2, d. 9: 9, e. 3: 1
Output: 

 b
Input: Problem: if the l. c. m of two numbers is 560 and their product is 42000, find the h. c. f of the numbers.
Options: a. 50, b. 30, c. 75, d. 25, e. none of these
Output: 

 c
Input: Problem: set x consists of all two - digit primes and set y consists of all positive multiples of 4 less than 100. if the two sets are combined into one, what will be the range of the new set ?
Options: a. 84, b. 93, c. 90, d. 92, e. 95
Output: 

 b
Input: Problem: in a sports club with 30 members, 17 play badminton and 19 play tennis and 3 do not play either. how many members play both badminton and tennis ?
Options: a. 7, b. 8, c. 9, d. 10, e. 11
Output: 

 c
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
Output: 

 c
Input: Problem: a work crew of 6 men takes 8 days to complete one - half of a job. if 9 men are then added to the crew and the men continue to work at the same rate, how many days will it take the enlarged crew to do the rest of the job ?
Options: a. 2, b. 3, c. 3 1 / 5, d. 4, e. 4 4 / 5
Output: 

 c
Input: Problem: a sum of money at simple interest amounts to rs. 720 after 2 years and to rs. 1020 after a further period of 5 years. the sum is :
Options: a. 400, b. 500, c. 600, d. 700, e. 800
Output: 

 c
Input: Problem: a and b can do a piece of work in 7 days. with the help of c they finish the work in 5 days. c alone can do that piece of work in ?
Options: a. 33 days, b. 77 days, c. 30 days, d. 17 days, e. 18 days
Output: 

 c
Input: Problem: water consists of hydrogen and oxygen, and the approximate ratio, by mass, of hydrogen to oxygen is 2: 16. approximately how many grams of hydrogen are there in 117 grams of water ?
Options: a. 7, b. 9, c. 11, d. 13, e. 15
Output: 

 d
Input: Problem: a can do a piece of work in 80 days. he works at it for 10 days b alone finishes the remaining work in 42 days. in how much time will a and b working together, finish the work ?
Options: a. 25, b. 30, c. 20, d. 32, e. none of them
Output: 

 b
Input: Problem: a number exceeds by 40 from its 3 / 8 part. then the number is ?
Options: a. a. 32, b. b. 24, c. c. 64, d. d. 40, e. e. 45
Output: 

 c
Input: Problem: working alone, a can complete a certain kind of job in 3 hours. a and d, working together at their respective rates, can complete one of these jobs in 2 hours. in how many hours can d, working alone, complete one of these jobs ?
Options: a. 2, b. 4, c. 6, d. 8, e. 10
Output: 

 c
Input: Problem: a small table has a length of 12 inches and a breadth of b inches. cubes are placed on the surface of the table so as to cover the entire surface. the maximum side of such cubes is found to be 4 inches. also, a few such tables are arranged to form a square. the minimum length of side possible for such a square is 48 inches. find b.
Options: a. 8, b. 16, c. 24, d. 32, e. 48
Output: 

 b
Input: Problem: an art gallery has only paintings and sculptures. currently, 1 / 3 of the pieces of art are displayed, and 1 / 6 of the pieces on display are sculptures. if 1 / 3 of the pieces not on display are paintings, and 800 sculptures are not on display, how many pieces of art does the gallery have ?
Options: a. 360, b. 1800, c. 540, d. 640, e. 720
Output: 

 b
Input: Problem: in a chess competition involving some men and women, every player needs to play exactly one game with every other player. it was found that in 45 games, both the players were women and in 190 games, both players were men. what is the number of games in which one person was a man and other person was a woman ?
Options: a. 40, b. 120, c. 180, d. 200, e. 220
Output: 

 d
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
Output: 

 a
Input: Problem: the price of a bushel of corn is currently $ 3.20, and the price of a peck of wheat is $ 6.80. the price of corn is increasing at a constant rate of 5 x cents per day while the price of wheat is decreasing at a constant rate of x ( 2 ^ 1 / 2 ) - x cents per day. what is the approximate price when a bushel of corn costs the same amount as a peck of wheat ?
Options: a. $ 4.50, b. $ 5.10, c. $ 5.30, d. $ 5.50, e. $ 6.50
Output: 

 e
Input: Problem: john traveled 80 % of the way from yellow - town to green - fields by train at an average speed of 80 miles per hour. the rest of the way john traveled by car at an average speed of v miles per hour. if the average speed for the entire trip was 70 miles per hour, what is v in miles per hour ?
Options: a. 30, b. 40, c. 50, d. 55, e. 60
Output: 

 e