Lots-of-LoRAs/task1678_mathqa_answer_selection huggingface dataset:
Input: Problem: on a certain date, pat invested $ 8,000 at x percent annual interest, compounded annually. if the total value of the investment plus interest at the end of 10 years will be $ 32,000, in how many years total will the total value of the investment plus interest increase to $ 64,000 ?
Options: a. 15, b. 16, c. 18, d. 20, e. 24
Output: 

 a
Input: Problem: find the average of first 20 multiples of 7 ?
Options: a. 73.5, b. 70.5, c. 63.5, d. 54.5, e. 40.5
Output: 

 a
Input: Problem: two trains, a and b, started simultaneously from opposite ends of a 125 - mile route and traveled toward each other on parallel tracks. train a, traveling at a constant rate, completed the 125 - mile trip in 12 hours; train b, traveling at a constant rate, completed the 125 - mile trip in 8 hours. how many miles had train a traveled when it met train b ?
Options: a. 25, b. 37.5, c. 40, d. 45.5, e. 50
Output: 

 e
Input: Problem: two numbers are in the ratio of 2: 3. if 20 be subtracted from each, they are in the ratio of 10: 17. find the numbers ?
Options: a. 70,105, b. 60,88, c. 80,120, d. 60,84, e. 60,81
Output: 

 a
Input: Problem: sravan travelled for 15 hours. he covered the first half of the distance at 45 kmph and remaining half of the distance at 30 kmph. find the distance travelled by sravan ?
Options: a. 520, b. 540, c. 550, d. 560, e. 440
Output: 

 b
Input: Problem: a hollow iron pipe is 21 cm long and its external diameter is 8 cm. if the thickness of the pipe is 1 cm and iron weights 8 g / cm cube, then find the weight of the pipe.
Options: ['a. 3.696 kg', 'b. 3.686 kg', 'c. 2.696 kg', 'd. 2.686 kg', 'e. none of these']
Output: 

 a
Input: Problem: in a throw of dice what is the probability of getting number greater than 5
Options: a. 1 / 7, b. 1 / 6, c. 1 / 11, d. 1 / 13, e. 2 / 9
Output: 

 b
Input: Problem: a can finish a work in 12 days and b can do same work in half the time taken by a. then working together, what part of same work they can finish in a day ?
Options: a. 1 / 4, b. 1 / 6, c. 1 / 7, d. 1 / 8, e. none of these
Output: 

 a
Input: Problem: the events a and b are independent, the probability that event a occurs is greater than 0, and the probability that event a occurs is twice the probability that event b occurs. the probability that at least one of events a and b occurs is 8 times the probability that both events a and b occur. what is the probability that event a occurs ?
Options: a. 1 / 12, b. 1 / 8, c. 1 / 6, d. 1 / 3, e. 2 / 3
Output: 

 d
Input: Problem: how much is 70 % of 40 is greater than 4 / 5 of 25 ?
Options: a. 22, b. 67, c. 88, d. 12, e. 8
Output: 

 e
Input: Problem: if x ^ 2 + ( 1 / x ^ 2 ) = 6, x ^ 4 + ( 1 / x ^ 4 ) = ?
Options: a. 10, b. 11, c. 12, d. 34, e. 15
Output: 

 d
Input: Problem: you buy a piece of land with an area of â ˆ š 1600, how long is one side of the land plot ?
Options: a. 28, b. 40, c. 30, d. 31, e. 32
Output: 

 b
Input: Problem: a, b, c, d, e, f, g, h sitting in a row what is the probability that a, b, c sitting together ?
Options: a. 3 / 14, b. 5 / 28, c. 3 / 28, d. 1 / 7, e. 9 / 28
Output: 

 c
Input: Problem: tough and tricky questions: ratios 4 / 5 of a certain class left on a field trip. 1 / 3 of the students who stayed behind did not want to go on the field trip ( all the others did want to go ). when another vehicle was located, 1 / 2 of the students who did want to go on the field trip but had been left behind were able to join. what fraction of the class ended up going on the field trip ?
Options: a. 1 / 2, b. 2 / 3, c. 13 / 15, d. 23 / 30, e. 4 / 5
Output: 

 c
Input: Problem: the ratio between the length and the breadth of a rectangular park is 3: 2. if a man cycling along theoundary of the park at the speed of 12 km / hr completes one round in 8 min, then thearea of the park ( in sq. m ) is ?
Options: a. 124545 m, b. 134561 m, c. 156787 m, d. 15450 m, e. 153600 m
Output: 

 e
Input: Problem: what will be the compound interest on a sum of rs. 20,000 after 3 years at the rate of 12 % p. a. ?
Options: a. rs. 8098.56, b. rs. 9720, c. rs. 10123.20, d. rs. 10483.20, e. none
Output: 

 a
Input: Problem: john and david can finish a job together in 4 hours. if john can do the job by himself in 5 hours, what percent of the job does david do ?
Options: a. 20 %, b. 25 %, c. 24 %, d. 23 %, e. 22 %
Output: 

 a
Input: Problem: two trains of length 100 m and 200 m are 100.00001 m apart. they start moving towards each other on parallel tracks, at speeds 108 kmph and 72 kmph. in how much time will the trains cross each other ?
Options: a. 8, b. 7, c. 9, d. 2, e. 1
Output: 

 a
Input: Problem: three rugs have a combined area of 212 square meters. by overlapping the rugs to cover floor area of 140 square meters, the area that is covered by exactly two layers of rug is 24 square meters. what is the area that is covered with three layers of rug ?
Options: a. 18 square meters, b. 20 square meters, c. 24 square meters, d. 28 square meters, e. 30 square meters
Output: 

 c
Input: Problem: if the average of 5 positive integers is 50 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. 58, c. 49, d. 48, e. 44
Output: 

 b
Input: Problem: the area of a circular field is 17.56 hectares. find the cost of fencing it at the rate of rs. 7 per metre approximately
Options: a. 4457, b. 10400, c. 4235, d. 4547, e. 4675
Output: 

 b
Input: Problem: 300 first - time customers of a fashion store were surveyed for their shopping experience right after leaving the store. 60 % of the customers in the survey had purchased clothes for less than $ 100. 40 % of the customers in the survey reported they were overall satisfied with their purchase. 45 % of the customers that had purchased clothes for less than $ 100 reported they were overall satisfied with their purchase. what percent of the customers surveyed purchased clothes for at least $ 100 and reported that they were not overall satisfied with their purchase ?
Options: a. 15, b. 25, c. 13, d. 45, e. 75
Output: 

 c
Input: Problem: farm tax is levied on the 45 % of the cultivated land. the tax department collected total $ 3840 through the farm tax from the village of mr. willam. mr. willam paid only $ 480 as farm tax. the percentage of total land of mr. willam over the total taxable land of the village is :
Options: a. 15 %, b. 25 %, c. 15.125 %, d. 27.78 %, e. none
Output: 

 d
Input: Problem: dhoni spent 25 percent of his earning last month on rent and 10 percent less than what he spent on rent to purchase a new dishwasher. what percent of last month ' s earning did dhoni have left over ?
Options: a. 50 %, b. 55 %, c. 60 %, d. 62 %, e. 52.5 %
Output: 

 e
Input: Problem: the difference between the place values of two nines in the numerical 62039295 is
Options: a. 89, b. 891, c. 8910, d. 0, e. none of them
Output: 

 c
Input: Problem: a worker is paid a regular rate of rs. 10 for completing a survey. the worker completes 50 surveys per week. for any survey involving the use of her cellphone, she is paid at a rate of that is 30 % higher than her regular rate. if she completed 35 surveys involving the use of her cellphone, how much did she get that week ?
Options: a. 605, b. 505, c. 105, d. 100, e. 200
Output: 

 a
Input: Problem: the average of 50 numbers id 20. if two numbers, namely 45 and 55 are discarded, the average of the remaining numbers is :
Options: a. 22.75, b. 33.25, c. 22.25, d. 11.75, e. 18.75
Output: 

 e
Input: Problem: jamshid can paint a fence in 50 percent less time than taimour can when each works alone. when they work together, they can paint the fence in 6 hours. how long would it take taimour to paint the fence alone ?
Options: a. 6 hours, b. 8 hours, c. 18 hours, d. 24 hours, e. 32 hours
Output: 

 c
Input: Problem: cereal a is 11 % sugar by weight, whereas healthier but less delicious cereal b is 2 % sugar by weight. to make a delicious and healthy mixture that is 5 % sugar, what should be the ratio of cereal a to cereal b, by weight ?
Options: a. 1: 2, b. 2: 3, c. 1: 3, d. 1: 4, e. 3: 4
Output: 

 a
Input: Problem: 27 is a perfect cube. when x is added to the prime factor of 27, the result is a prime number. what is x ?
Options: a. 1, b. 3, c. 5, d. 8, e. 11
Output: 

 d
Input: Problem: if the sum of two numbers is 45 and the h. c. f and l. c. m of these numbers are 3 and 100 respectively, then the sum of the reciprocal of the numbers is equal to :
Options: a. 103 / 300, b. 103 / 200, c. 112 / 300, d. 154 / 140, e. 100 / 300
Output: 

 a
Input: Problem: an investor deposited $ 10,000 to open a new savings account that earned 12 percent annual interest, compounded quarterly. if there were no other transactions in the account, what was the amount of money in the account 6 months after the account was opened ?
Options: a. $ 10,300, b. $ 10,303, c. $ 10,600, d. $ 10,609, e. $ 10,900
Output: 

 d
Input: Problem: a sum of $ 800 amounts to $ 920 in 3 years at simple interest. if the interest rate is increased by 3 % it would amount to how much ?
Options: a. $ 506, b. $ 774, c. $ 992, d. $ 854, e. $ 1021
Output: 

 c
Input: Problem: 2 + 2 + 2 ² + 2 ³... + 2 ^ 6
Options: a. 2 ^ 9, b. 2 ^ 10, c. 2 ^ 16, d. 2 ^ 35, e. 2 ^ 7
Output: 

 e
Input: Problem: a certain company retirement plan has arule of 70 provision that allows an employee to retire when the employee ' s age plus years of employment with the company total at least 70. in what year could a female employee hired in 1986 on her 30 nd birthday first be eligible to retire under this provision ?
Options: a. 2003, b. 2004, c. 2005, d. 2006, e. 2007
Output: 

 d
Input: Problem: the salary of a person was reduced by 28 %. by what percent should his reduced salary be raised so as to bring it at par with his original salary ?
Options: a. 10 %, b. 15 %, c. 20 %, d. 25 %, e. 38.9 %
Output: 

 e
Input: Problem: a man has some hens and cows. if the number of heads be 100 and the number of feet equals 240, then the number of cows will be :
Options: a. 22, b. 23, c. 24, d. 20, e. 28
Output: 

 d
Input: Problem: a library branch originally contained 18360 volumes, 30 % of which were fiction novels. 1 / 3 of the volumes were transferred to another location and 1 / 5 of the volumes transferred were fiction novels. what percent of the remaining collection was fiction novels ?
Options: a. 2.5 %, b. 17.67 %, c. 28.3 %, d. 36 %, e. 73.6 %
Output: 

 d
Input: Problem: a sum of rs 468.75 was lent out at simple interest and at the end of 1 year and 8 months, the total amount of rs 500 is received. find the rate of interest ?
Options: a. 3 %, b. 4 %, c. 5 %, d. 6 %, e. 7 %
Output: 

 b
Input: Problem: in a restaurant, the profit is 160 % of the cost. if the cost increases by 12 % but the selling price remains constant, approximately what percentage of the selling price is the profit ?
Options: a. 30 %, b. 57 %, c. 90 %, d. 100 %, e. none of these
Output: 

 b
Input: Problem: a lion chases a pony 7 hours after the pony runs. lion takes 8 hours to reach the pony. if the average speed of the lion is 49 kmph, what s the average speed of the pony ?
Options: a. 28.3 kmph, b. 29.8 kmph, c. 28.4 kmph, d. 29.5 kmph, e. 29.4 kmph
Output: 

 e
Input: Problem: working simultaneously and independently at an identical constant rate, 5 machines of a certain type can produce a total of x units of product p in 4 days. how many of these machines, working simultaneously and independently at this constant rate, can produce a total of 2 x units of product p in 2 days ?
Options: a. 11, b. 13, c. 15, d. 18, e. 20
Output: 

 e
Input: Problem: during a pizza buffet where a eats more times 1.8 than b, and b eats 8 times less than c. find the leat number of times all the 3 has to eat
Options: a. 350, b. 260, c. 360, d. 380, e. 285
Output: 

 c
Input: Problem: a certain roller coaster has 6 cars, and a passenger is equally likely to ride in any 1 of the 6 cars each time that passenger rides the roller coaster. if a certain passenger is to ride the roller coaster 6 times, what is the probability that the passenger will ride in each of the 6 cars ?
Options: a. 3 / 1944, b. 1 / 96, c. 2 / 96, d. 1 / 1944, e. 1
Output: 

 a
Input: Problem: a train is 360 meter long is running at a speed of 50 km / hour. in what time will it pass a bridge of 140 meter length ?
Options: a. 87, b. 69, c. 36, d. 72, e. 21
Output: 

 c
Input: Problem: m = { - 6, - 5, - 4, - 3, - 2 } t = { - 3, - 2, - 1, 0, 1, 2, 3, 4 } 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: 

 d
Input: Problem: the length of a side of a hexagon is 4 inches. what is the perimeter ?
Options: ['a. 22', 'b. 23', 'c. 24', 'd. 25', 'e. 26']
Output: 

 c
Input: Problem: if ( 1 – 1.25 ) n = 4, then n =
Options: a. − 400, b. − 16, c. − 4, d. 4, e. 400
Output: 

 b
Input: Problem: two trains 120 m and 160 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. 10.9, b. 10.7, c. 10.3, d. 10.08, e. 10.2
Output: 

 d
Input: Problem: a fair price shopkeeper takes 10 % profit on his goods. he lost 30 % goods during theft. his loss percent is :
Options: a. 23 %, b. 42 %, c. 32 %, d. 12 %, e. 22 %
Output: 

 a
Input: Problem: a number is increased by 20 % and then decreased by 20 %. find the net increase or decrease per cent.
Options: a. 9 %, b. 8 %, c. 7 %, d. 3 %, e. 4 %
Output: 

 e
Input: Problem: a person purchases 90 clocks and sells 40 clocks at a gain of 10 % and 50 clocks at a gain of 20 %. if he sold all of them at a uniform profit of 15 %, then he would have got rs. 40 less. the cost price of each clock is: ?
Options: a. 40, b. 60, c. 80, d. 67, e. 30
Output: 

 c
Input: Problem: a train passes a platform in 32 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. 180 meter, b. 240 meter, c. 200 meter, d. 260 meter, e. none of these
Output: 

 a
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 c get in a profit of rs. 2490 ?
Options: a. s. 332, b. s. 498, c. s. 822, d. s. 812, e. s. 810
Output: 

 b
Input: Problem: car x began traveling at an average speed of 35 miles per hour. after 72 minutes, car y began traveling at an average speed of 70 miles per hour. when both cars had traveled the same distance, both cars stopped. how many miles did car x travel from the time car y began traveling until both cars stopped ?
Options: a. 15, b. 20, c. 40, d. 42, e. 68
Output: 

 d
Input: Problem: what is the remainder when 3 ^ 26 is divided by 5 ?
Options: a. 0, b. 1, c. 2, d. 3, e. 4
Output: 

 e
Input: Problem: if 75 percent of a class answered the first question on a certain test correctly, 70 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percent answered both correctly ?
Options: a. 10 %, b. ( 8 ) 20 %, c. 30 %, d. 50 %, e. 65 %
Output: 

 e
Input: Problem: two trains each 180 m in length are running on the same parallel lines in opposite directions with the speed of each 80 kmph. in what time will they cross each other completely ?
Options: a. 7.8 sec, b. 8.1 sec, c. 8.3 sec, d. 8.2 sec, e. 8.4 sec
Output: 

 b
Input: Problem: by investing in 1623 % stock at 64, one earns rs. 1800. the investment made is
Options: a. s. 6500, b. s. 7500, c. s. 5640, d. s. 5760, e. s. 6912
Output: 

 e
Input: Problem: lloyd normally works 7.5 hours per day and earns $ 3.50 per hour. for each hour he works in excess of 7.5 hours on a given day, he is paid 1.5 times his regular rate. if lloyd works 10.5 hours on a given day, how much does he earn for that day ?
Options: a. $ 33.75, b. $ 42.00, c. $ 51.75, d. $ 54.00, e. $ 70.00
Output: 

 b
Input: Problem: a train 200 m long can cross an electric pole in 20 sec and then find the speed of the train ?
Options: a. 987, b. 271, c. 72, d. 27, e. 36
Output: 

 e
Input: Problem: in a group of 100 cars, 49 cars do not have air conditioning. if at least 51 cars have racing stripes, what is the greatest number of cars that could have air conditioning but not racing stripes ?
Options: a. 49, b. 47, c. 48, d. 51, e. 53
Output: 

 a
Input: Problem: running at the same constant rate, 6 identical machines can produce a total of 420 bottles per minute. at this rate, how many bottles could 10 such machines produce in 4 minutes ?
Options: a. 648, b. 1800, c. 2800, d. 10800, e. 10900
Output: 

 c
Input: Problem: a certain number when divided by 39 leaves a remainder 20, what is the remainder when the same number is divided by 13 ?
Options: a. 7, b. 8, c. 9, d. 0, e. 1
Output: 

 a
Input: Problem: find compound interest on $ 4000 at 15 % per annum for 2 years 4 months, compounded annually.
Options: a. 1554.5, b. 1509.5, c. 1108.5, d. 1107.5, e. 1100.5
Output: 

 a
Input: Problem: the average age of a family of 5 members is 20 years. if the age of the youngest member be 10 years then what was the average age of the family at the time of the birth of the youngest member ?
Options: a. 13.5, b. 14, c. 15, d. 12.5, e. none
Output: 

 d
Input: Problem: a train 800 m long can cross a pole in 10 sec and then find the speed of the train ?
Options: a. 280, b. 282, c. 284, d. 286, e. 288
Output: 

 e
Input: Problem: a number when divided by 779 gives a remainder 47. by dividing the same number by 19, what would be the remainder ?
Options: a. 9, b. 8, c. 7, d. 6, e. 5
Output: 

 a
Input: Problem: darcy lives 1.5 miles from work. she can walk to work at a constant rate of 3 miles per hour, or she can ride the train to work at a constant rate of 20 miles per hour. if she rides the train, there is an additional x minutes spent walking to the nearest train station, waiting for the train, and walking from the final train station to her work. if it takes darcy a total of 10 more minutes to commute to work by walking than it takes her to commute to work by riding the train, what is the value of x ?
Options: a. 10.5, b. 15, c. 15.5, d. 30, e. 60
Output: 

 c
Input: Problem: if 5 a = 3125, then the value of 5 ( a - 3 ) is :
Options: a. 25, b. 125, c. 625, d. 1625, e. none of these
Output: 

 a
Input: Problem: a 10 % stock yields 8 %. the market value of the stock is :
Options: a. rs. 72, b. rs. 125, c. rs. 112.50, d. rs. 116.50, e. none of these
Output: 

 b
Input: Problem: joan took out a mortgage from hel local bank. each monthly mortgage payment she makes must be triple the amount of the previous month ' s payment. if her first payment is $ 100, and the total amount she must pay back is $ 914800, how many months will it take joan to pay back her mortgage ?
Options: a. 6, b. 8, c. 10, d. 9, e. 13
Output: 

 d
Input: Problem: 1391 x 1391 = ?
Options: a. a. 1951609, b. b. 1951601, c. c. 1951602, d. d. 1951603, e. e. 1934881
Output: 

 e
Input: Problem: at joes steakhouse the hourly wage for a chef is 20 % greater than that of a dishwasher, and the hourly wage of a dishwasher is half as much as the hourly wage of a manager. if a managers wage is $ 10.50 per hour, how much less than a manager does a chef earn each hour ?
Options: a. $ 1.40, b. $ 2.40, c. $ 3.40, d. $ 4.40, e. $ 4.30
Output: 

 e
Input: Problem: the “ length of integer x ” refers to the number of prime factors, not necessarily distinct, that x has. ( if x = 60, the length of x would be 4 because 60 = 2 × 2 × 3 × 5. ) what is the greatest possible length of integer z if z < 1,080 ?
Options: a. 13, b. 10, c. 9, d. 7, e. 6
Output: 

 b
Input: Problem: a boat having a length 3 m and breadth 2 m is floating on a lake. the boat sinks by 2 cm when a man gets on it. the mass of man is
Options: a. 12 kg, b. 60 kg, c. 72 kg, d. 120 kg, e. none
Output: 

 d
Input: Problem: if 2 / 3 rd of the contents of a container evaporated on the 1 st day. and 1 / 4 th of the remaining evaporated on the second day. what part of the contents of the container is left at the end of the second day ?
Options: a. 1 / 4, b. 1 / 12, c. 1 / 18, d. 1 / 6, e. 1 / 2
Output: 

 d
Input: Problem: a bag contains 6 black and 4 white balls. one ball is drawn at random. what is the probability that the ball drawn is white ?
Options: a. 3 / 4, b. 2 / 5, c. 1 / 7, d. 1 / 8, e. 4 / 3
Output: 

 b
Input: Problem: a certain number of men can do a work in 60 days. if there were 8 men less it could be finished in 10 days more. how many men are there ?
Options: a. 56, b. 42, c. 60, d. 45, e. 36
Output: 

 a
Input: Problem: a group of students was interviewed for that if it was asked whether or not they speak french and / or english. among those who speak french, 25 speak english well, while 65 of them do not speak english. if 55 % of students do not speak french, how many students were surveyed ?
Options: a. 190, b. 175, c. 225, d. 200, e. 250
Output: 

 d
Input: Problem: the speed of the boat in still water in 12 kmph. it can travel downstream through 48 kms in 3 hrs. in what time would it cover the same distance upstream ?
Options: a. 8 hours, b. 6 hours, c. 4 hours, d. 5 hours, e. 6 hours
Output: 

 e
Input: Problem: a square mirror has exactly half the area of the rectangular wall on which it is hung. if each side of the mirror is 21 inches and the width of the wall is 28 inches, what is the length of the wall, in inches ?
Options: a. 21.5, b. 31.5, c. 41.5, d. 61.5, e. 71.5
Output: 

 b
Input: Problem: in what time will a railway train 50 m long moving at the rate of 36 kmph pass a telegraph post on its way ?
Options: a. 5 sec, b. 4 sec, c. 3 sec, d. 6 sec, e. 1 sec
Output: 

 a
Input: Problem: a person ' s present age is two - fifth of the age of his mother. after 4 years, he will be one - half of the age of his mother. how old is the mother at present ?
Options: a. a. 25, b. b. 40, c. c. 20, d. d. 45, e. e. 28
Output: 

 c
Input: Problem: positive integer y is 50 percent of 25 percent of positive integer x, and y percent of x equals 100. what is the value of y ?
Options: a. 50, b. 125, c. 200, d. 1,000, e. 2,000
Output: 

 b
Input: Problem: a train of 30 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. in what time will the train cross a bridge 1.5 km long ?
Options: a. 6, b. 3.3, c. 4, d. 9, e. 2
Output: 

 b
Input: Problem: if the ratio of apples to bananas is 4 to 3 and the ratio of bananas to cucumbers is 1 to 3, what is the ratio of apples to cucumbers ?
Options: a. 4: 9, b. 4: 3, c. 3: 7, d. 2: 5, e. 1: 6
Output: 

 a
Input: Problem: in township k, 1 / 5 of the housing units are equipped with cable television. if 1 / 10 of the housing units, including 1 / 3 of those that are equipped with cable television, are equipped with videocassette recorders, what fraction of the housing units have neither cable television nor videocassette recorders ?
Options: a. 23 / 30, b. 11 / 15, c. 7 / 10, d. 1 / 6, e. 2 / 15
Output: 

 a
Input: Problem: maths, physics and chemistry books are stored on a library shelf that can accommodate 25 books. currently, 20 % of the shelf spots remain empty. there are twice as many maths books as physics books and the number of physics books is 4 greater than that of chemistry books. among all the books, 12 books are soft cover and the remaining are hard - cover. if there are a total of 7 hard - cover books among the maths and physics books. what is the probability q, that a book selected at random is either a hard cover book or a chemistry book ?
Options: a. 1 / 10, b. 3 / 20, c. 1 / 5, d. 1 / 4, e. 9 / 20
Output: 

 e
Input: Problem: water is leaking out from a cylinder container at the rate of 0.31 m ^ 3 per minute. after 10 minutes, the water level decreases 1 / 16 meters. what is value of the radius in meters ?
Options: a. 1 / 4, b. 2, c. 4, d. 8, e. 12
Output: 

 c
Input: Problem: a cat chases a rat 6 hours after the rat runs. cat takes 4 hours to reach the rat. if the average speed of the cat is 90 kmph, what s the average speed of the rat ?
Options: a. 32 kmph, b. 26 kmph, c. 35 kmph, d. 36 kmph, e. 32 kmph
Output: 

 d