Lots-of-LoRAs/task1678_mathqa_answer_selection huggingface dataset:
Input: Problem: the cost price of 30 articles is the same as the selling price of x articles. if the profit is 20 %, what is x ?
Options: a. 20, b. 21, c. 23, d. 25, e. 27
Output: 

 d
Input: Problem: when jessica withdrew $ 200 from her bank account, her account balance decreased by 2 / 5. if she deposits an amount equal to 2 / 3 of the remaining balance, what will be the final balance in her bank account ?
Options: a. 300, b. 375, c. 400, d. 500, e. 575
Output: 

 d
Input: Problem: gopi gives rs. 90 plus one turban as salary to his servant for one year. the servant leaves after 9 months and receives rs. 60 and the turban. find the price of the turban.
Options: a. 27, b. 30, c. 29, d. 10, e. 11
Output: 

 b
Input: Problem: if a mixture is 2 ⁄ 7 alcohol by volume and 3 ⁄ 7 water by volume, what is the ratio of the volume of alcohol to the volume of water in this mixture ?
Options: a. 3, b. 1 / 3, c. 2 / 3, d. 3 / 5, e. 4 / 5
Output: 

 c
Input: Problem: 70,76, 74,85, 90,105, 105,130, 130,130 the list consists of the times in seconds that it took each of the 10 school children to run a distance of 400 mts. if the standard deviation of the 10 running times is 22.4, rounded to the nearest tenth of a second, how many of the 10 running times are more than 1 standard deviation below the mean of the 10 running times.
Options: a. 1, b. 2, c. 3, d. 4, e. 5
Output: 

 c
Input: Problem: find the mean proportional between 64 & 81 ?
Options: a. a. 59, b. b. 61, c. c. 63, d. d. 72, e. e. 67
Output: 

 d
Input: Problem: a and b go around a circular track of length 200 m on a cycle at speeds of 36 kmph and 72 kmph. after how much time will they meet for the first time at the starting point ?
Options: a. 120 sec, b. 198 sec, c. 178 sec, d. 20 sec, e. 276 sec
Output: 

 d
Input: Problem: a boat having a length 7 m and breadth 3 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. 100 kg, b. 120 kg, c. 89 kg, d. 80 kg, e. 210 kg
Output: 

 e
Input: Problem: kim has 3 pairs of shoes; each pair is a different color. if kim randomly selects 2 shoes without replacement from the 6 shoes, what is the probability that she will select 2 shoes of the same color ?
Options: a. 2 / 5, b. 1 / 5, c. 1 / 9, d. 1 / 10, e. 1 / 25
Output: 

 b
Input: Problem: if 2 a = 3 b and ab ≠ 0, what is the ratio of a / 3 to b / 2 ?
Options: a. 27 / 8, b. 8 / 27, c. 1, d. 9 / 4, e. 81 / 64
Output: 

 c
Input: Problem: a sports equipment store sold ping pong rackets for a total of $ 637. if the average ( arithmetic mean ) price of a pair of rackets is $ 9.8, how many pairs were sold ?
Options: a. 50, b. 100, c. 65, d. 500, e. 980
Output: 

 c
Input: Problem: the number 42 can be written as the sum of the squares of 3 different positive integers. what is the sum of these 3 integers ?
Options: a. 17, b. 10, c. 15, d. 14, e. 13
Output: 

 b
Input: Problem: the batting average of a particular batsman is 60 runs in 46 innings. if the difference in his highest and lowest score is 140 runs and his average excluding these two innings is 58 runs, find his highest score.
Options: a. 179, b. 367, c. 269, d. 177, e. 174
Output: 

 e
Input: Problem: a rhombus has area 432 sq m, one diagonal is 36 cm. find other diagonal ?
Options: ['a. 2400 m', 'b. 2500 m', 'c. 2600 m', 'd. 2700 m', 'e. 2900 m']
Output: 

 a
Input: Problem: a group of 7 teenagers recently visited the japanese restaurant. the total bill for the meal, including 20 % gratuity, came to $ 840. on average, how much did the meal of each individual cost before gratuity ?
Options: a. $ 160, b. $ 96, c. $ 90, d. $ 10, e. $ 55
Output: 

 d
Input: Problem: if the dimensions of a certain rectangular box are 5 inches by 2 inches by 3 inches, then the face of greatest area is of what area ?
Options: ['a. 225 square inches', 'b. 45 square inches', 'c. 25 square inches', 'd. 15 square inches', 'e. 10 square inches']
Output: 

 d
Input: Problem: the annual birth and death rate in a country per 1000 are 39.4 and 19.4 respectively. the number of years r in which the population would be doubled assuming there is no emigration or immigration is
Options: a. 20, b. r = 25, c. r = 30, d. r = 35, e. 40
Output: 

 d
Input: Problem: if a man walks at a rate of 10 kmph, he misses a train by 14 minutes. however, if he walks at the rate of 12 kmph, he reaches the station 10 minutes before the arrival of the train. find the distance covered by him to reach the station.
Options: a. 6, b. 15, c. 12, d. 4, e. 8
Output: 

 a
Input: Problem: in a can, there is a mixture of milk and water in the ratio 4: 5. if it is filled with an additional 6 litres of milk the can would be full and ratio of milk and water would become 6: 5. find the capacity of the can ?
Options: a. 33, b. 44, c. 48, d. 52, e. none of these
Output: 

 a
Input: Problem: the sum of the first n positive perfect squares, where n is a positive integer, is given by the formula n ^ 3 / 3 + c * n ^ 2 + n / 6, where c is a constant. what is the sum of the first 17 positive perfect squares ?
Options: a. 1,010, b. 1,164, c. 1,240, d. 1,316, e. 1,785
Output: 

 e
Input: Problem: if 5 % more is gained by selling an article for rs. 350 than by selling it for rs. 340, the cost of the article is
Options: a. 289, b. 231, c. 200, d. 288, e. 111
Output: 

 c
Input: Problem: a can do a work in 6 days, b can do a work in 8 days and c can do it in 12 days. b left work after 5 days. for how many number of days should a and c should work together to complete the remaining work ?
Options: a. 1 / 2, b. 2 / 3, c. 3 / 4, d. 4 / 3, e. 5 / 2
Output: 

 b
Input: Problem: what is 66.67 % of 804 ?
Options: a. 587.69, b. 536, c. 627, d. 300.87, e. 567.67
Output: 

 b
Input: Problem: a 340 - liter solution of kola is made from 88 % water, 5 % concentrated kola and the rest is made from sugar. if 3.2 liters of sugar, 10 liter of water and 6.8 liters of concentrated kola were added to the solution, what percent of the solution is made from sugar ?
Options: a. 6 %., b. 7.5 %., c. 9.2 %., d. 10.5 %., e. 11 %.
Output: 

 b
Input: Problem: a particular library has 75 books in a special collection, all of which were in the library at the beginning of the month. these book are occasionally loaned out through an inter - library program. if, by the end of the month, 80 percent of books that were loaned out are returned and there are 67 books in the special collection at that time, how many books of the special collection were loaned out during that month ?
Options: a. 20, b. 30, c. 35, d. 40, e. 55
Output: 

 d
Input: Problem: in a certain deck of cards, each card has a positive integer written on it, in a multiplication game a child draws a card and multiplies the integer on the card with the next large integer. if the each possible product is between 10 and 400, then the least and greatest integer on the card would be
Options: a. 3 and 15, b. 3 and 20, c. 4 and 13, d. 4 and 14, e. 5 and 14
Output: 

 b
Input: Problem: a cylindrical bucket of height 36 cm and radius 21 cm is filled with sand. the bucket is emptied on the ground and a conical heap of sand is formed, the height of the heap being 12 cm. the radius of the heap at the base is :
Options: ['a. 63 cm', 'b. 53 cm', 'c. 56 cm', 'd. 66 cm', 'e. none of these']
Output: 

 a
Input: Problem: if d is the standard deviation a, b, and c, what is the standard deviation of a + 6, b + 6, c + 6 ?
Options: a. d, b. 6 d, c. 6 d + 6, d. 6 d + 12, e. 6 d + 18
Output: 

 a
Input: Problem: a sum of money is distributed among a, b, c, d in the proportion of 5: 2: 4: 3. if c gets $ 1000 more than d, what is the b ' s share ?
Options: a. $ 1000, b. $ 2000, c. $ 2500, d. $ 2850, e. $ 2950
Output: 

 b
Input: Problem: a rectangular photograph is surrounded by a border that is 3 inch wide on each side. the total area of the photograph and the border is m square inches. if the border had been 6 inches wide on each side, the total area would have been ( m + 178 ) square inches. what is the perimeter of the photograph, in inches ?
Options: a. 34, b. 36, c. 38, d. 40, e. 20
Output: 

 e
Input: Problem: a “ palindromic integer ” is an integer that remains the same when its digits are reversed. so, for example, 43334 and 516615 are both examples of palindromic integers. how many 6 - digit palindromic integers are both even and greater than 500,000 ?
Options: a. 160, b. 200, c. 240, d. 300, e. 480
Output: 

 b
Input: Problem: a group of boy scouts and girls scouts is going on a rafting trip. 70 % of the scouts arrived with signed permission slips. if 60 % of the scouts were boy scouts and 75 % of the boy scouts arrived with signed permission slips, then what percentage of the girl scouts arrived with signed permission slips ? round to the nearest percent.
Options: a. 50 %, b. 60 %, c. 63 %, d. 66 %, e. 70 %
Output: 

 c
Input: Problem: a cube of side 5 meter length is cut into small cubes of side 25 cm each. how many such small cubes can be obtained ?
Options: a. 10781, b. 1276, c. 1000, d. 8000, e. 5000
Output: 

 d
Input: Problem: a store reported total sales of $ 416 million for february of this year. if the total sales for the same month last year was $ 320 million, approximately what was the percent increase in sales ?
Options: a. 2 %, b. 17 %, c. 30 %, d. 65 %, e. 83 %
Output: 

 c
Input: Problem: if 7 a = 8 b and ab ≠ 0, what is the ratio of a / 8 to b / 7 ?
Options: a. 16 / 14, b. 8 / 7, c. 1, d. 7 / 8, e. 64 / 49
Output: 

 c
Input: Problem: a shopkeeper sold an article offering a discount of 5 % and earned a profit of 22.55 %. what would have been the percentage of profit earned if no discount was offered ?
Options: a. 60 %, b. 29 %, c. 39 %, d. 56 %, e. 73 %
Output: 

 b
Input: Problem: sam ’ s car was fined when he gave joe and peter a ride, so they decided to help sam pay the fine. joe paid $ 6 more than 1 / 4 of the fine and peter paid $ 6 less than 1 / 3 of the fine, leaving pay $ 10 less than 1 / 2 the fine to complete the payment. what fraction of the fine did sam pay ?
Options: a. $ 50, b. $ 40, c. $ 35, d. $ 44, e. $ 45
Output: 

 a
Input: Problem: 90 students represent x percent of the boys at jones elementary school. if the boys at jones elementary make up 50 % of the total school population of x students, what is x ?
Options: a. 134, b. 150, c. 225, d. 250, e. 500
Output: 

 a
Input: Problem: what will be the compound interest on a sum of rs. 29,000 after 3 years at the rate of 12 % p. a. ?
Options: a. s. 11123.77, b. s. 11742.91, c. s. 11123.20, d. s. 10123.28, e. s. 10123.21
Output: 

 b
Input: Problem: by investing in 1623 % stock at 64, one earns rs. 1500. the investment made is
Options: a. rs. 9600, b. rs. 7500, c. rs. 5640, d. rs. 5760, e. rs. 6760
Output: 

 d
Input: Problem: an article is bought for rs. 1200 and sold for rs. 800, find the loss percent ?
Options: a. 16 %, b. 35 %, c. 33 %, d. 18 %, e. 12 %
Output: 

 c
Input: Problem: how many distinct integer values of n satisfy the inequality | | n - 3 | + 4 | ≤ 15 ?
Options: a. 15, b. 16, c. 17, d. 18, e. 13
Output: 

 e
Input: Problem: in a park there are two ponds with both brown ducks and green ducks. in the smaller pond there are 45 ducks and in the larger pond there are 55 ducks. if 20 % of the ducks in the smaller pond are green and 40 % of the ducks in the larger pond are green, then what percentage of ducks are green ?
Options: a. 25 %, b. 27 %, c. 29 %, d. 31 %, e. 33 %
Output: 

 d
Input: Problem: rs. 1581 is divided among a, b and c in the ratio 10: 15: 6. what is the share of b ?
Options: a. 306, b. 765, c. 700, d. 510, e. 520
Output: 

 a
Input: Problem: the ratio between b and y is 7 / 9; b and y are increased by 4, what is the ratio between the new values of b and y ?
Options: a. 7 / 9, b. 14 / 9, c. 7 / 18, d. 11 / 13, e. it can not be determined
Output: 

 e
Input: Problem: if 2 x = 3 y = 10, then 15 xy = ?
Options: a. 1,200, b. 200, c. 120, d. 40, e. 250
Output: 

 e
Input: Problem: compound x contains elements a and b at an approximate ratio, by weight, of 2: 10. approximately how many grams of element b are there in 108 grams of compound x ?
Options: a. 90, b. 162, c. 250, d. 270, e. 322
Output: 

 a
Input: Problem: a reduction of 25 % in the price of oil enables a house wife to obtain 5 kgs more for rs. 900, what is the reduced price for kg ?
Options: a. 45, b. 60, c. 70, d. 80, e. 20
Output: 

 a
Input: Problem: during a car trip, maria stopped to rest after she traveled 1 / 2 of the total distance to her destination. she stopped again after she traveled 1 / 4 of the distance remaining between her first stop and her destination, and then she drove the remaining 135 miles to her detination. what was the total distance, in miles from maria ' s starting point to her destination ?
Options: a. 280, b. 320, c. 360, d. 420, e. 480
Output: 

 c
Input: Problem: a man buys a cycle for rs. 2800 and sells it at a loss of 25 %. what is the selling price of the cycle ?
Options: a. s. 2090, b. s. 2160, c. s. 2100, d. s. 2202, e. s. 2092
Output: 

 c
Input: Problem: a train 100 m long takes 6 sec to cross a man walking at 5 kmph in a direction opposite to that of the train. find the speed of the train ?
Options: a. 45 kmph, b. 55 kmph, c. 32 kmph, d. 61 kmph, e. 70 kmph
Output: 

 b
Input: Problem: the area of an isosceles trapezoid with sides of length 5 and bases of length 9 and 15 is ?
Options: a. 44, b. 48, c. 46, d. 47, e. 50
Output: 

 b
Input: Problem: two kinds of vodka are mixed in the ratio 1: 2 and 2: 1 and they are sold fetching the profit 10 % and 40 % respectively. if the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4 / 3 and 5 / 3 times respectively, then the mixture will fetch the profit of
Options: a. 18 %, b. 20 %, c. 21 %, d. 40 %, e. can not be determined
Output: 

 d
Input: Problem: the compound interest earned on a sum for the second and the third years are $ 1200 and $ 1260 respectively. what is the rate of interest ?
Options: a. 5 %, b. 8 %, c. 11 %, d. 14 %, e. 18 %
Output: 

 a
Input: Problem: how many seconds will a 1000 meter long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 63 km / hr ?
Options: a. 287, b. 300, c. 500, d. 277, e. 121
Output: 

 b
Input: Problem: in a class of 45 students, 12 enrolled for both english and german. 22 enrolled for german. if the students of the class enrolled for at least one of the two subjects, then how many students enrolled for only english and not german ?
Options: a. 30, b. 10, c. 18, d. 23, e. 32
Output: 

 d
Input: Problem: gold is 19 times as heavy as water and copper is 9 times as heavy as water. in what ratio should these be mixed to get an alloy 15 times as heavy as water ?
Options: a. 3: 2, b. 3: 8, c. 5: 7, d. 3: 7, e. 3: 6
Output: 

 a
Input: Problem: a certain high school has 500 students. of these students, 50 are taking music, 20 are taking art, and 10 are taking both music and art. how many students are taking neither music nor art ?
Options: a. 430, b. 440, c. 450, d. 460, e. 470
Output: 

 b
Input: Problem: the sector of a circle has perimeter of 144 cm and central angle 180 o. find its radius ?
Options: a. 25 cm, b. 32 cm, c. 14 cm, d. 28 cm, e. 21 cm
Output: 

 d
Input: Problem: a towel, when bleached, lost 30 % of its length and 25 % of its breadth. what is the percentage decrease in area ?
Options: a. 24 %, b. 30 %, c. 44 %, d. 54 %, e. 47.5 %
Output: 

 e
Input: Problem: the average of first five multiples of 7 is :
Options: a. 9, b. 16, c. 15, d. 8, e. 21
Output: 

 e
Input: Problem: sandy is younger than molly by 6 years. if their ages are in the respective ratio of 7: 9, how old is molly ?
Options: a. 21, b. 24, c. 27, d. 36, e. 45
Output: 

 c
Input: Problem: the salary of a person was reduced by 25 %. by what percent should his reduced salary be raised so as to bring it at par with his original salary ?
Options: a. 10 %, b. 33.33 %, c. 20 %, d. 25 %, e. 50 %
Output: 

 b
Input: Problem: car dealership x, the total profit from sales increased by 12 percent over the previous years, while the number of cars sold decreased by 12 percent over the previous years. approximately what was the average percent increase in profit per car over the previous year.
Options: a. 18 %, b. 20 %, c. 22 %, d. 27.27 %, e. 35 %
Output: 

 d
Input: Problem: if each participant of a chess tournament plays exactly one game with each of the remaining participants, then 276 games will be played during the tournament. find the number of participants.
Options: a. 20, b. 22, c. 24, d. 26, e. 28
Output: 

 c
Input: Problem: a man can do a job in 5 days. his father takes 20 days and his son finishes it in 25 days. how long will they take to complete the job if they all work together ?
Options: a. 6.3, b. 6.9, c. 3.5, d. 6.1, e. 6.2
Output: 

 c
Input: Problem: from a container having pure milk, 20 % is replaced by water and the process is repeated thrice. at the end of the third operation, the milk is ?
Options: a. 45 %, b. 49.6 %, c. 51.2 %, d. 55 %, e. 60.3 %
Output: 

 c
Input: Problem: running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. at this rate, how many bottles could 8 such machines produce in 4 minutes ?
Options: a. 648, b. 1800, c. 2700, d. 1440, e. none of these
Output: 

 d
Input: Problem: the price of lunch for 13 people was $ 207 including a 15 % gratuity for service. what was the average price per person, excluding the gratuity ?
Options: a. 11.73, b. 12, c. 13.85, d. 14, e. 15.87
Output: 

 c
Input: Problem: at a small company, 58 percent of the employees are women, and 60 percent of the employees are married. if 2 / 3 of the men are single, what fraction of the women are married ?
Options: a. 5 / 16, b. 1 / 3, c. 23 / 29, d. 7 / 10, e. 5 / 7
Output: 

 c
Input: Problem: two pipes a and b can separately fill a tank in 16 and 18 minutes respectively. a third pipe c can drain off 45 liters of water per minute. if all the pipes are opened, the tank can be filled in 18 minutes. what is the capacity of the tank ?
Options: a. 590 liters, b. 720 liters, c. 740 liters, d. 860 liters, e. 620 liters
Output: 

 b
Input: Problem: a river 4 m deep and 40 m wide is flowing at the rate of 4 kmph the amount of water that runs into the sea per minute is ?
Options: a. 10666, b. 11678, c. 12345, d. 10678, e. 19099
Output: 

 a
Input: Problem: a man can row upstream at 25 kmph and downstream at 45 kmph, and then find the speed of the man in still water ?
Options: a. 11, b. 77, c. 30, d. 88, e. 35
Output: 

 e
Input: Problem: find the value of 72517 x 9999 = m ?
Options: a. 345434667, b. 246465757, c. 465767867, d. 725097483, e. 645354643
Output: 

 d
Input: Problem: how many positive integers between 1 and 200 are there such that they are multiples of 17 ?
Options: a. 9, b. 11, c. 13, d. 10, e. 8
Output: 

 b
Input: Problem: how many zeroes are there at the end of the number n, if n = 90 ! + 180 ! ?
Options: a. 15, b. 18, c. 21, d. 24, e. 27
Output: 

 c
Input: Problem: if the simple interest on a certain amount in at 4 % rate 5 years amounted to rs. 2240 less than the principal. what was the principal ?
Options: a. 1500, b. 2500, c. 2507, d. 2800, e. 11500
Output: 

 d
Input: Problem: a can do a work in 24 days and b can do it in 12 days. in how many days a and b can do the work ?
Options: a. 20 days, b. 10 days, c. 6 days, d. 5 days, e. 8 days
Output: 

 e
Input: Problem: 5005 - 5000 ÷ 10.00 = ?
Options: a. 0.5, b. 50, c. 5000, d. 4505, e. none
Output: 

 d
Input: Problem: on a certain farm the ratio of horses to cows is 4: 1. if the farm were to sell 15 horses and buy 15 cows, the ratio of horses to cows would then be 13: 7. after the transaction, how many more horses than cows would the farm own ?
Options: a. 30, b. 60, c. 75, d. 90, e. 105
Output: 

 a
Input: Problem: a circular ground whose diameter is 35 metres, has a 1.4 metre - broad garden around it. what is the area of the garden in square metres ?
Options: a. 160.16, b. 6.16, c. 122.66, d. data inadequate, e. none of these
Output: 

 a
Input: Problem: what is the remainder when you divide 2 ^ 200 - 3 by 7 ?
Options: a. 1, b. 2, c. 3, d. 4, e. 5
Output: 

 a
Input: Problem: if a is a positive integer, and if the units digit of a ^ 2 is 9 and the units digit of ( a + 1 ) ^ 2 is 4, what is the units u digit of ( a + 2 ) ^ 2 ?
Options: a. 1, b. 3, c. 5, d. 6, e. c. 14
Output: 

 a
Input: Problem: in a certain alphabet, 9 letters contain a dot and a straight line. 24 letters contain a straight line but do not contain a dot. if that alphabet has 40 letters, all of which contain either a dot or a straight line or both, how many letters contain a dot but do not contain a straight line ?
Options: a. 7, b. 8, c. 14, d. 20, e. 28
Output: 

 a
Input: Problem: marginal cost is the cost of increasing the quantity produced ( or purchased. by one unit. if the fixed cost for n products is $ 15,000 and the marginal cost is $ 200, and the total cost is $ 25,000, what is the value of n ?
Options: a. 30, b. 50, c. 60, d. 80, e. 100
Output: 

 b
Input: Problem: when a certain number x is divided by 61, the remainder is 24. what is the remainder when x is divided by 5 ?
Options: a. 2, b. 3, c. 4, d. 5, e. 6
Output: 

 c
Input: Problem: in a room with 6 people, 4 people have exactly 1 friend in the room and 3 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. 16 / 15
Output: 

 e
Input: Problem: village x has a population of 72000, which is decreasing at the rate of 1200 per year. village y has a population of 42000, which is increasing at the rate of 800 per year. in how many years will the population of the two villages be equal ?
Options: a. 15, b. 19, c. 11, d. 18, e. 13
Output: 

 a
Input: Problem: the length of a rectangle is halved, while its breadth is tripled. watis the % change in area ?
Options: a. 43 %, b. 47 %, c. 50 %, d. 65 %, e. 68 %
Output: 

 c
Input: Problem: if the average of 5 positive integers is 70 and the difference between the largest and the smallest of these 5 numbers is 10, what is the maximum value possible for the largest of these 5 integers ?
Options: a. 50, b. 52, c. 69, d. 78, e. 84
Output: 

 d
Input: Problem: if x is invested in a bank at a rate of simple interest of y % p. a. for two years, then the interest earned is 800. if x is invested at y % p. a., for two years when the interest is compounded annually, the interest is 820. what is the value of x ?
Options: a. 8000, b. 6000, c. 5000, d. 4000, e. 3000
Output: 

 a
Input: Problem: a trader bought a car at 10 % discount on its original price. he sold it at a 80 % increase on the price he bought it. what percent of profit did he make on the original price ?
Options: a. 17 %, b. 62 %, c. 12 %, d. 19 %, e. 22 %
Output: 

 b
Input: Problem: 4 balls of different colors are to be placed in 3 different boxes such that any box contains at least 1 ball. what is the maximum number of different ways in which this can be done ?
Options: a. 60, b. 90, c. 120, d. 150, e. 180
Output: 

 e
Input: Problem: a train passes a platform in 44 seconds. the same train passes a man standing on the platform in 20 seconds. if the speed of the train is 54 km / hr, the length of the platform is
Options: a. 240, b. 250, c. 360, d. 230, e. 220
Output: 

 c
Input: Problem: find the simple interest on $ 10000 at 4 % per annum for 12 months ?
Options: a. $ 400, b. $ 500, c. $ 650, d. $ 710, e. $ 1000
Output: 

 a
Input: Problem: operation # is defined as: a # b = 4 a ^ 2 + 4 b ^ 2 + 8 ab for all non - negative integers. what is the value of ( a + b. + 6, when a # b = 100 ?
Options: a. 5, b. 8, c. 10, d. 11, e. 17
Output: 

 d
Input: Problem: $ 9,000 is deposited in a savings account that pays 14 % annual interest compounded semiannually. to the nearest dollar, how much is in the account at the end of the year ?
Options: a. $ 11304.12, b. $ 12304.54, c. $ 11604.14, d. $ 10304.10, e. $ 9304.41
Output: 

 d