niryuu/sni-each-converted huggingface dataset:
Problem: average between 2 sets of numbers is closer to the set with more no ' s ?
Options: a. 70, b. 80, c. 90, d. 92, e. 94
Output: b
Problem: a merchant marks his goods up by 30 % and then offers a discount of 10 % on the marked price. what % profit does the merchant make after the discount ?
Options: a. 17 %, b. 25 %, c. 69 %, d. 31 %, e. 19 %
Output: a
Problem: elvin ' s monthly telephone bill is the sum of the charge for the calls he made during the month and a fixed monthly charge for internet service. elvin ' s total telephone bill for january was $ 46 and elvin ' s total telephone bill for february was 76 $. if elvin ' s charge for the calls he made in february was twice the charge for the calls he made in january, what is elvin ' s fixed monthly charge for internet service ?
Options: a. $ 5, b. $ 10, c. $ 14, d. $ 16, e. $ 28
Output: d
Problem: maxwell leaves his home and walks toward brad ' s house at the same time that brad leaves his home and runs toward maxwell ' s house. if the distance between their homes is 70 kilometers, maxwell ' s walking speed is 4 km / h, and brad ' s running speed is 6 km / h, what is the distance traveled by brad ?
Options: a. 42, b. 18, c. 20, d. 24, e. 30
Output: a
Problem: if a, b and c together can finish a piece of work in 4 days. a alone in 12 days and b in 18 days, then c alone can do it in ?
Options: a. 7 days, b. 3 days, c. 9 days, d. 8 days, e. 2 days
Output: c
Problem: machine a and machine b are each used to manufacture 440 sprockets. it takes machine a 10 hours longer to produce 440 sprockets than machine b. machine b produces 10 % more sprockets per hour than machine a. how many sprockets per hour does machineaproduce ?
Options: a. 6, b. 6.6, c. 60, d. 4.4, e. 110
Output: d
Problem: on a certain day, tim invested $ 600 at 10 percent annual interest, compounded annually, and lana invested 800 at 5 percent annual interest, compounded annually. the total amount of interest earned by tim ’ s investment in the first 2 years was how much greater than the total amount of interest earned by lana ’ s investment in the first 2 years ?
Options: a. $ 5, b. $ 15, c. $ 44, d. $ 100, e. $ 105
Output: c
Problem: if y is the smallest positive integer such that 630 multiplied by y is the square of an integer, then y must be
Options: a. 20, b. 50, c. 60, d. 70, e. 140
Output: d
Problem: today mary ’ s father is 4 times as old as mary. 3 years ago, he was 5 times as old. how old is mary today ?
Options: a. 6, b. 8, c. 10, d. 12, e. 14
Output: d
Problem: a horse is tethered to one corner of a rectangular grassy field 42 m by 26 m with a rope 16 m long. over how much area of the field can it graze ?
Options: a. 154 cm 2, b. 308 m 2, c. 201 m 2, d. 205 m 2, e. none of these
Output: c
Problem: in the xy - coordinate system, if ( m, n ) and ( m + 2, n + k ) are two points on the line perpendicular to x = 2 y + 5, then k = ?
Options: a. - 5, b. - 8, c. 2, d. - 4, e. 1
Output: d
Problem: a batsman in his 17 th innings makes a score of 85 and their by increasing his average by 3. what is his average after the 17 thinnings ?
Options: a. 22, b. 77, c. 26, d. 37, e. 88
Output: d
Problem: the average ( arithmetic mean ) of 4 different integers is 76. if the largest integer is 90, what is the least possible value of the smallest integer ?
Options: a. 1, b. 19, c. 29, d. 30, e. 37
Output: e
Problem: a certain elevator has a safe weight limit of 2,000 pounds. what is the greatest possible number of people who can safely ride on the elevator at one time with the average ( arithmetic mean ) weight of half the riders being 200 pounds and the average weight of the others being 230 pounds ?
Options: a. 7, b. 8, c. 9, d. 10, e. 11
Output: c
Problem: the average salary of all the workers in a workshop is $ 8000. the average salary of 7 technicians is $ 12000 and the average salary of the rest is $ 6000. the total number of workers in the shop is ?
Options: a. 15, b. 18, c. 21, d. 25, e. 31
Output: c
Problem: a farmer grows broccoli in his farm that is in the shape of a square. each broccoli takes 1 square foot of area in his garden. this year, he has increased his output by 101 broccoli when compared to last year. the shape of the area used for growing the broccoli has remained a square in both these years. how many broccoli did he produce this year ?
Options: ['a. 2400', 'b. 2601', 'c. 1987', 'd. 2000', 'e. can not be determined']
Output: b
Problem: two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. the ratio of their speeds i
Options: a. 1: 3, b. 3: 2, c. 3: 4, d. 4: 2, e. none of these
Output: b
Problem: a person can swim in still water at 10 km / h. if the speed of water 8 km / h, how many hours will the man take to swim back against the current for 16 km ?
Options: a. 3, b. 7, c. 5, d. 8, e. 6
Output: d
Problem: 90 students represent x percent of the boys at jones elementary school. if the boys at jones elementary make up 60 % of the total school population of x students, what is x ?
Options: a. 122, b. 150, c. 225, d. 250, e. 500
Output: a
Problem: maxwell leaves his home and walks toward brad ' s house at the same time that brad leaves his home and runs toward maxwell ' s house. if the distance between their homes is 65 kilometers, maxwell ' s walking speed is 2 km / h, and brad ' s running speed is 3 km / h. what is the distance traveled by maxwell when they meet in the middle ?
Options: a. 25, b. 23, c. 22, d. 24, e. 26
Output: e
Problem: what is the smallest integer that is multiple of 5, 7,9
Options: a. a. 70, b. b. 315, c. c. 200, d. d. 280, e. e. 140
Output: b
Problem: the odds in favour of an events are 3: 5. the probability of occurrence of the event is
Options: a. 3 / 8, b. 2 / 7, c. 1 / 3, d. 2 / 5, e. 6 / 7
Output: a
Problem: if john makes a contribution to a charity fund at school, the average contribution size will increase by 50 % reaching $ 75 per person. if there were 3 other contributions made before john ' s, what is the size of his donation ?
Options: a. $ 100, b. $ 150, c. $ 200, d. $ 250, e. $ 450
Output: b
Problem: in a class of 40 students 26 play football and play 20 long tennis, if 17 play above, many play neither ?
Options: a. 6, b. 8, c. 10, d. 11, e. 14
Output: d
Problem: seller selling an apple for rs. 18, a seller loses 1 / 6 th of what it costs him. the cp of the apple is ?
Options: a. 10, b. 12, c. 19, d. 18, e. 20
Output: c
Problem: if n is a positive integer and the product of all the integers from 1 to n, inclusive, is a multiple of 8, what is the least possible value of n ?
Options: a. 7, b. 4, c. 5, d. 3, e. 6
Output: b
Problem: 1.5, 2.5, 4.5, 7.5, 11.5, (.... )
Options: a. 16.5, b. 15.5, c. 14.5, d. 17.5, e. 17
Output: a
Problem: a train covers a distance of 12 km in 10 minutes. if it takes 4 seconds to pass a telegraph post, then the length of the train is
Options: a. 80 m, b. 120 m, c. 140 m, d. 160 m, e. 170 cm
Output: a
Problem: what positive number, when squared, is equal to the cube of the positive square root of 14 ?
Options: a. 64, b. 32, c. 8, d. 4, e. 2
Output: d
Problem: a man saves 20 % of his monthly salary. if an account of dearness of things he is to increase his monthly expenses by 20 %, he is only able to save rs. 250 per month. what is his monthly salary ?
Options: a. 5000, b. 2999, c. 2878, d. 6250, e. 2771
Output: d
Problem: if 15 students in a class average 75 % on an exam and 10 students average 90 % on the same exam, what is the average in percent for all 25 students ?
Options: a. 80 %, b. 81 %, c. 82 %, d. 83 %, e. 84 %
Output: b
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
Problem: for each of her sales, a saleswoman receives a commission equal to 20 percent of the first $ 500 of the total amount of the sale, plus 50 percent of the total amount in excess of $ 500. if the total amount of one of her sales was $ 800, the saleswoman ’ s commission was approximately what percent of the total amount of the sale ?
Options: a. 22 %, b. 24 %, c. 25 %, d. 27 %, e. 31 %
Output: e
Problem: the number of singles that a baseball player hit increased 10 percent from her first season to her second season, and the number of doubles that she hit in the same time period decreased by 1 percent. if the total number of singles and doubles that she hit increased 3 percent from her first season to her second season, what is the ratio of the number of singles she hit in her first season to the number of doubles she hit in her first season ?
Options: a. 2: 3, b. 3: 5, c. 4: 7, d. 5: 8, e. 7: 9
Output: c
Problem: a man swims downstream 60 km and upstream 100 km taking 10 hours each time, what is the speed of the man in still water ?
Options: a. 24, b. 42, c. 6, d. 8, e. 12
Output: d
Problem: a light flashes every 30 seconds, how many times will it flash in ? of an hour ?
Options: a. 550, b. 600, c. 650, d. 700, e. 120
Output: e
Problem: the difference between the place values of two sixes in the numerical 81369206 is
Options: a. 0, b. 599, c. 5994, d. 59994, e. none of them
Output: d
Problem: if the area of a circle is 81 pi square feet, find its circumference.
Options: a. 15, b. 16, c. 17, d. 18, e. 19
Output: d
Problem: tourist purchased a total of 30 travelers checks in $ 50 and $ 100 denominations. the total worth of the travelers checks is $ 1800. how many checks of $ 50 denominations can he spend so that average amount ( arithmetic mean ) of the remaining travelers checks is $ 100 ?
Options: a. 4, b. 12, c. 15, d. 20, e. 24
Output: e
Problem: at an election 2 candidates are participated and a candidate got 20 % of votes and defeated by 500. and 10 votes are invalid. find the total polled votes ?
Options: a. 843, b. 1023, c. 965, d. 413, e. 1245
Output: a
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
Problem: average of 5 consecutive even numbers is 35. find the greatest number in these 5 numbers ?
Options: a. 26, b. 29, c. 39, d. 42, e. 43
Output: c
Problem: a wall photo 2 inches wide is placed around a rectangular paper with dimensions 8 inches by 12 inches. what is the area of the wall photo, in square inches ?
Options: ['a. 96', 'b. 86', 'c. 108', 'd. 144', 'e. 118']
Output: a
Problem: the perimeter of a triangle is 36 cm and the inradius of the triangle is 2.5 cm. what is the area of the triangle
Options: a. a. 72, b. b. 45, c. c. 729, d. d. 34, e. e. 35
Output: b
Problem: john found that the average of 15 no. ' s is 40. if 10 is added to each number then the mean of number is ?
Options: a. 50, b. 55, c. 65, d. 72, e. 78
Output: a
Problem: a car salesman earns a base salary of $ 1000 per month plus a commission of $ 200 for each car he sells. if the car salesman earned $ 2000 in march, how many cars does he need to sell in april in order to double his march earnings ?
Options: a. 14, b. 15, c. 16, d. 17, e. 18
Output: b
Problem: barbata invests $ 2200 in the national bank at 5 %. how much additional money must she invest at 8 % so that the total annual income will be equal to 6 % of her entire investment ?
Options: a. 1100, b. 3000, c. 1000, d. 3600, e. 2400
Output: a
Problem: 24 lbs of coffee p and 25 lbs of coffee v are mixed to make coffee x and y. the ratio of p to v in coffee x is 4 to 1, in y is 1 to 5. how much of p is contained in the mixture x ?
Options: a. 10, b. 20, c. 30, d. 40, e. 50
Output: b
Problem: the average of 10 numbers is 0. in those 10, at the least, how many may be greater than or equal to zero ?
Options: a. 0, b. 1, c. 2, d. 3, e. 5
Output: b
Problem: a movie buff buys movies on dvd and on blu - ray in a ratio of 13: 4. if she returns 2 blu - ray movies, that ratio would change to 7: 2. if she buys movies on no other medium, what was the original number of movies purchased ?
Options: a. 22, b. 28, c. 77, d. 99, e. 119
Output: e
Problem: arjun started a business with rs. 20,000 and is joined afterwards by anoop with rs. 80, 000. after how many months did anoop join if the profits at the end of the year are divided equally ?
Options: a. 3, b. 9, c. 5, d. 6, e. 7
Output: b
Problem: if x + y = 260, x - y = 200, for integers of x and y, y = ?
Options: a. 200, b. 230, c. 50, d. 115, e. 150
Output: b
Problem: a man can row 24 kmph in still water. it takes him thrice as long to row up as to row down the river. find the rate of the stream ?
Options: a. 6, b. 12, c. 18, d. 15, e. 20
Output: b
Problem: a bookseller sells his books at a 20 % markup in price. if he sells a book for $ 36.00, how much did he pay for it ?
Options: a. $ 34.40, b. $ 34.00, c. $ 32.00, d. $ 30.00, e. $ 35.00
Output: d
Problem: the hcf of two numbers is 42 and the other two factors of their lcm are 10 and 20. what is the largest number.
Options: a. 462, b. 450, c. 840, d. 504, e. 555
Output: c
Problem: suraj has a certain average of runs for 16 innings. in the 17 th innings he scores 92 runs thereby increasing his average by 4 runs. what is his average after the 17 th innings ?
Options: a. 48, b. 64, c. 28, d. 72, e. 27
Output: c
Problem: the wages earned by robin is 38 % more than that earned by erica. the wages earned by charles is 60 % more than that earned by erica. how much % is the wages earned by charles more than that earned by robin ?
Options: a. 23 %, b. 27.53 %, c. 30 %, d. 50 %, e. 100 %
Output: b
Problem: a dog have birth to 12 puppies, 2 female and 10 male. what is the ratio of the female puppies to the male ?
Options: a. 1 / 5, b. 1 / 6, c. 1 / 10, d. 2 / 12, e. 1 / 8
Output: a
Problem: a box contains 6 black, 8 red and 4 green marbles. 2 marbles are drawn from the box at random. what is the probability that both the marbles are of the same color ?
Options: a. 49 / 153, b. 18 / 153, c. 49 / 153, d. 40 / 153, e. 24 / 72
Output: a
Problem: if x / 2 = y / 5 = z / 6, then ( x + y + z ) / x is equal to :
Options: a. 13, b. 12, c. 15 / 2, d. 13 / 2, e. none of these
Output: d
Problem: a man has some hens and cows. if the number of heads be 48 and the number of feet equals 136, then the number of hens will be
Options: a. 22, b. 24, c. 26, d. 20, e. 28
Output: e
Problem: a train covers a distance of 100 km in 1 hour. if its speed is decreased by 12 km / hr, the time taken by the car to cover the same distance will be ?
Options: a. 1 hr, b. 1 hr 8 min, c. 50 min, d. 1 hr 30 min, e. 1 hr 45 min
Output: b
Problem: the average of 25 results is 20. the average of first 12 of those is 14 and the average of last 12 is 17. what is the 13 th result ?
Options: a. 128, b. 75, c. 69, d. 78, e. 45
Output: a
Problem: if d is the smallest positive integer such that 3,150 multiplied by d is the square of an integer, then d must be
Options: ['a. 2', 'b. 5', 'c. 6', 'd. 7', 'e. 14']
Output: e
Problem: x and y started a business by investing rs. 36000 and rs. 42000 respectively after 4 months z joined in the business with an investment of rs. 48000, then find share of z in the profit of rs. 14190 ?
Options: a. 3200, b. 4000, c. 3250, d. 4128, e. 3985
Output: d
Problem: there are 250 doctors and nurses at a hospital. if the ratio of doctors to nurses is 2 to 3, how many nurses are at the hospital ?
Options: a. 134, b. 138, c. 142, d. 146, e. 150
Output: e
Problem: in an examination, 300 students appeared. out of these students; 26 % got first division, 54 % got second division and the remaining just passed. assuming that no student failed; find the number of students who just passed.
Options: a. 33, b. 37, c. 54, d. 60, e. 01
Output: d
Problem: on a certain transatlantic crossing, 30 percent of a ship ' s passengers held round - trip tickets and also took their cars abroad the ship. if 60 percent of the passengers with round - trip tickets did not take their cars abroad the ship, what percent of the ship ' s passengers held round - trip tickets ?
Options: a. 33.3 %, b. 40 %, c. 50 %, d. 60 %, e. 75 %
Output: e
Problem: p and q invested in a shop. the profits were divided in the ratio of 4: 6 respectively. if p invested rs. 55,000, the amount invested by q is :
Options: a. 48000, b. 40000, c. 35000, d. 60000, e. none
Output: e
Problem: evaluate ( 12 + 22 + 32 +... + 102 )
Options: a. 430, b. 720, c. 385, d. 265, e. 295
Output: c
Problem: divide rs. 32000 in the ratio 3: 3 ?
Options: a. 12000, 20000, b. 12000, 200098, c. 16000, 16000, d. 12000, 20006, e. 12000, 20001
Output: c
Problem: find value for x from below equation ? x + 1 = - 4
Options: a. - 5, b. - 4, c. 4, d. 3, e. 2
Output: a
Problem: what is the remainder when 1201 × 1202 × 1204 × 1205 is divided by 6 ?
Options: a. 1, b. 2, c. 3, d. 4, e. 5
Output: d
Problem: students at a school were on average 180 cm tall. the average female height was 170 cm, and the average male height was 184 cms. what was the ratio d of men to women ?
Options: a. 5: 2, b. 5: 1, c. 4: 3, d. 4: 1, e. 3: 1
Output: a
Problem: at what rate of compound interest per annum will a sum of $ 1200 becomes 1348.32 in 2 years ?
Options: a. 5 %, b. 6 %, c. 7 %, d. 8 %, e. 10 %
Output: b
Problem: the average weight of a group of boys is 30 kg. after a boy of weight 45 kg joins the group, the average weight of the group goes up by 1 kg. find the number of boys in the group originally ?
Options: a. 14, b. 15, c. 16, d. 17, e. 18
Output: a
Problem: the food in a camp lasts for 10 men for 50 days. if 10 more men join, how many days will the food last ?
Options: a. 22 days, b. 25 days, c. 50 days, d. 16 days, e. 17 days
Output: b
Problem: a group of hikers is planning a trip that will take them up a mountain using one route and back down using another route. they plan to travel down the mountain at a rate of one and a half times the rate they will use on the way up, but the time each route will take is the same. if they will go up the mountain at a rate of 6 miles per day and it will take them two days, how many miles long is the route down the mountain ?
Options: a. 16, b. 17, c. 18, d. 19, e. 20
Output: c
Problem: if a ^ 2 + b ^ 2 = 15 and ab = 25, what is the value of the expression ( a - b. ^ 2 + ( a + b. ^ 2 ?
Options: a. 10, b. 20, c. 30, d. 60, e. 50
Output: e
Problem: equal amount of water were poured into two empty jars of different capacities, which made one jar 1 / 3 full and other jar 1 / 2 full. if the water in the jar with lesser capacity is then poured into the jar with greater capacity, what fraction of the larger jar will be filled with water ?
Options: a. 2 / 3, b. 2 / 7, c. 1 / 2, d. 7 / 12, e. 1 / 7
Output: a
Problem: a certain candy manufacturer reduced the weight of candy bar m by 5 percent buy left the price unchanged. what was the resulting percent increase in the price per ounce of candy bar m ?
Options: a. 5.5, b. 5.4, c. 5.3, d. 5.2, e. 5.1
Output: d
Problem: if | x - 9 | = 3 x, then x = ?
Options: a. 1.5, b. 3.1, c. 4.5, d. - 2.25, e. - 4.5
Output: e
Problem: mary ' s income is 60 percent more than tim ' s income, and tim ' s income is 60 percent less than juan ' s income. what percent of juan ' s income is mary ' s income ?
Options: a. 64 %, b. 120 %, c. 96 %, d. 80 %, e. 64 %
Output: a
Problem: 12. what is the dividend. divisor 17, the quotient is 9 and the remainder is 7.
Options: a. 150, b. 152, c. 154, d. 158, e. 160
Output: e
Problem: if the simple interest on a certain amount in at 4 % rate 5 years amounted to rs 1920 less than the principal. what was the principal ?
Options: a. 1500, b. 2500, c. 2507, d. 3200, e. 2400
Output: e
Problem: the diagonals of a rhombus are 15 cm and 20 cm. find its area ?
Options: a. 158, b. 129, c. 150, d. 123, e. 117
Output: c
Problem: how many different positive integers exist between 10 ^ 3 and 10 ^ 4, the sum of whose digits is equal to 2 ?
Options: a. 6, b. 7, c. 5, d. 4, e. 18
Output: d
Problem: if 1 / ( x + 4 ) + 1 / ( x - 4 ) = 1 / ( x - 4 ), what is the value of x ?
Options: a. 5, b. 4, c. 1, d. 2, e. 3
Output: b
Problem: 8: 18: : 24: ?
Options: a. 38, b. 32, c. 44, d. 43, e. 42
Output: a
Problem: in n is a positive integer less than 200, and 2 n / 108 is an integer, then n has how many different positive prime factors ?
Options: a. 2, b. 3, c. 5, d. 6, e. 8
Output: b
Problem: what percent is 100 gm of 1 kg ?
Options: a. 25 %, b. 40 %, c. 10 %, d. 8 %, e. 12 %
Output: c
Problem: the average of 9 observations was 8, that of the 1 st of 5 being 10 and that of the last 5 being 8. what was the 5 th observation ?
Options: a. 18, b. 12, c. 15, d. 17, e. 19
Output: a
Problem: sophia finished 2 / 3 of a book. she calculated that she finished 30 more pages than she has yet to read. how long is her book ?
Options: a. a. 90, b. b. 150, c. c. 130, d. d. 190, e. e. 210
Output: a
Problem: in a recent election, geoff received 0.5 percent of the 6,000 votes cast. to win the election, a candidate needed to receive more than x % of the vote. if geoff needed exactly 3,571 more votes to win the election, what is the value of x ?
Options: a. 50, b. 54, c. 56, d. 60, e. 63
Output: d
Problem: which expression is the greatest ?
Options: a. 3252 / 3257, b. 3456 / 3461, c. 3591 / 3596, d. 3346 / 3351, e. 3453 / 3458
Output: c
Problem: the end of a blade on an airplane propeller is 10 feet from the center. if the propeller spins at the rate of 1,320 revolutions per second, how many miles will the tip of the blade travel in one minute ? ( 1 mile = 5,280 feet )
Options: a. 200 π, b. 240 π, c. 300 π, d. 480 π, e. 1,200 π
Output: c
Problem: if there are 200 questions in a 3 hr examination. among these questions are 100 type a problems, which requires twice as much as time be spent than the rest of the type b problems. how many minutes should be spent on type a problems ?
Options: a. 72 min, b. 62 min, c. 70 min, d. 74 min, e. 120 min
Output: e
Problem: a and b are 90 km apart they start to move each other simultaneously a at speed 10 and b at 5 km / hr if every hour they double their speed what is distance that a pass until he meet b ?
Options: a. 30 km, b. 40 km, c. 50 km, d. 60 km, e. 70 km
Output: d
Problem: a card board of size 34 * 14 has to be attached to a wooden box and a total of 35 pins are to be used on the each side of the card box. find the total number of pins used.
Options: a. 135, b. 136, c. 137, d. 138, e. 139
Output: b
Problem: a cistern can be filled by a tap in 2 hours while it can be emptied by another tap in 4 hours. if both the taps are opened simultaneously then after how much time will the cistern get filled ?
Options: a. 2 hr, b. 5 hr, c. 7 hr, d. 1 hr, e. 4 hr
Output: e
Problem: evaluate combination 98 c 96 = 98 ! / ( 96 ) ! ( 2 ) !
Options: a. 1617, b. 4753, c. 1417, d. 4353, e. none of these
Output: b
Problem: a ranch has both horses and ponies. exactly 3 / 10 of the ponies have horseshoes, and exactly 5 / 8 of the ponies with horseshoes are from iceland. if there are 4 more horses than ponies, what is the minimum possible combined number of horses and ponies on the ranch ?
Options: a. 116, b. 132, c. 148, d. 164, e. 180
Output: d
Problem: there are 5 chess amateurs playing in villa ' s chess club tournament. if each chess amateur plays with exactly 8 other amateurs, what is the total number of chess games possible to be played in the tournament ?
Options: a. 10, b. 20, c. 40, d. 60, e. 120
Output: b
Problem: the speed of a train is 90 kmph. what is the distance covered by it in 12 minutes ?
Options: a. 15, b. 18, c. 77, d. 52, e. 42
Output: b
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
Problem: 11 is subtracted from 40 % of a number and results is 23. what is the number ?
Options: a. 160, b. 92, c. 88, d. 85, e. 34
Output: d
Problem: 0.1 + 0.1 ^ 2 + 0.1 ^ 3 =
Options: a. 0.1, b. 0.111, c. 0.1221, d. 0.2341, e. 0.3
Output: b
Problem: an article is bought for rs. 675 and sold for rs. 900, find the gain percent ?
Options: a. 33 1 / 8 %, b. 33 9 / 3 %, c. 33 1 / 3 %, d. 93 1 / 3 %, e. 33 2 / 3 %
Output: c
Problem: in a garment industry, 12 men working 8 hours per day complete a piece of work in 10 days. to complete the same work in 8 days, working 15 hours a day, the number of men required is :
Options: a. 4, b. 5, c. 6, d. 8, e. 9
Output: d
Problem: what is the maximum number of pieces of birthday cake of size 4 ” by 4 ” that can be cut from a cake 20 ” by 20 ” ?
Options: a. 5, b. 10, c. 16, d. 20, e. 25
Output: e
Problem: the present worth of rs. 845 due in 2 years at 4 % per annum compound interest is
Options: a. rs. 150.50, b. rs. 154.75, c. rs. 781.25, d. rs. 158, e. none
Output: c
Problem: on the first of the year, james invested x dollars at proudstar bank in an account that yields 4 % in interest every quarter year. at the end of the year, during which he made no additional deposits or withdrawals, he had y dollars in the account. if james had invested the same amount in an account which pays interest on a yearly basis, what must the interest rate be for james to have y dollars at the end of the year ?
Options: a. 22.04 %, b. 26.12 %, c. 28 %, d. 16.25 %, e. 30 %
Output: d
Problem: if a store owner increases a product ’ s price by 20 percent and then increases this price by another 15 percent, what percent of the original price is the total price increase ?
Options: a. 20 %, b. 35 %, c. 38 %, d. 65 %, e. 135 %
Output: c
Problem: if 5 students are made to sit in a row, then 6 do n ' t have seats. if 12 students are made to sit in a row, then 3 rows are empty. how many students have to sit a row such that each row has equal number of students and all students are seated ?
Options: a. 0, b. 1, c. 4, d. 5, e. 6
Output: e
Problem: a pupil ' s marks were wrongly entered as 85 instead of 33. due to that the average marks for the class got increased by half. the number of pupils in the class is :
Options: a. 30, b. 104, c. 20, d. 25, e. 26
Output: b
Problem: if the ratio of two number is 6: 7 and lcm of the number is 450 then what is the number.
Options: a. 11, b. 20, c. 25, d. 30, e. 35
Output: a
Problem: a person travels equal distances with speeds of 3 km / hr, 4 km / hr and 5 km / hr and takes a total time of 54 minutes. the total distance is ?
Options: a. 1 km, b. 2 km, c. 3 km, d. 3.4 km, e. 5 km
Output: d
Problem: jim is able to sell a hand - carved statue for $ 620 which was a 25 % profit over his cost. how much did the statue originally cost him ?
Options: a. $ 496.00, b. $ 512.40, c. $ 555.40, d. $ 574.90, e. $ 588.20
Output: a
Problem: praveen starts business with rs. 3780 and after 5 months, hari joins with praveen as his partner. after a year, the profit is divided in the ratio 2: 3. what is hari ’ s contribution in the capital ?
Options: a. s. 7500, b. s. 8000, c. s. 8500, d. s. 9720, e. s. 6000
Output: d
Problem: find the greatest number that will divide 48, 210 and 136 leaving 4, 12 and 4 as remainders respectively
Options: a. 19, b. 17, c. 13, d. 22, e. 21
Output: d
Problem: a student has to obtain 33 % of the total marks to pass. he got 125 marks and failed by 40 marks. the maximum marks are ?
Options: a. 450, b. 300, c. 500, d. 610, e. 175
Output: c
Problem: the telephone company wants to add an area code composed of 2 letters to every phone number. in order to do so, the company chose a special sign language containing 524 different signs. if the company used 522 of the signs fully and two remained unused, how many additional area codes can be created if the company uses all 524 signs ?
Options: a. 46, b. 248, c. 2092, d. 15,128, e. 30,256
Output: c
Problem: a case contains c cartons. each carton contains b boxes, and each box contains 200 paper clips. how many paper clips are contained in 2 cases ?
Options: a. 200 bc, b. 200 b / c, c. 400 bc, d. 400 b / c, e. 400 / bc
Output: c
Problem: what is the value of x ^ 2 yz − xyz ^ 2, if x = − 2, y = 1, and z = 1 ?
Options: a. 6, b. 24, c. 30, d. 32, e. 48
Output: a
Problem: 2.205 divided by 0.3 gives
Options: a. 7.35, b. 6.25, c. 8.15, d. 6.95, e. none of these
Output: a
Problem: having received his weekly allowance, john spent 3 / 5 of his allowance at the arcade. the next day he spent one third of his remaining allowance at the toy store, and then spent his last $ 0.88 at the candy store. what is john ’ s weekly allowance ?
Options: a. $ 2.70, b. $ 3.00, c. $ 3.30, d. $ 3.60, e. $ 3.90
Output: c
Problem: a doctor prescribed 18 cubic centimeters of a certain drug to a patient whose body weight was 120 pounds. if the typical dosage is 4 cubic centimeters per 15 pounds of the body weight, by what percent was the prescribed dosage lesser than the typical dosage ?
Options: a. 8 %, b. 9 %, c. 11 %, d. 12.5 %, e. - 87.5 %
Output: e
Problem: calculate how much time could be saved if the train would run at its usual speed, given that it ran at 2 / 3 of its own speed and got to its destination in 20 hours ?
Options: a. 5.67 hrs, b. 9.67 hrs, c. 8.95 hrs, d. 8.67 hrs, e. 6.67 hrs
Output: d
Problem: exactly 3 / 7 of the people in the room are under the age of 21, and exactly 5 / 10 of the people in the room are over the age of 65. if the total number of the people in the room is greater than 50 and less than 100, how many people in the room are under the age of 21 ?
Options: a. 21, b. 35, c. 39, d. 30, e. 65
Output: d
Problem: a 5 - digit number is formed by the digits 2, 45, 68 ( each digit used exactly once.. what is the probability that the number formed is divisible by 4 ?
Options: a. 2 / 5, b. 3 / 5, c. 4 / 5, d. 6 / 5, e. 7 / 5
Output: a
Problem: if x is 20 percent more than y and y is 60 percent less than z, then x is what percent of z ?
Options: a. 500 %, b. 48 %, c. 500 / 3 %, d. 125 %, e. 60 %
Output: b
Problem: the area of one square is x ^ 2 + 4 x + 4 and the area of another square is 4 x ^ 2 − 12 x + 9. if the sum of the perimeters of both squares is 32, what is the value of x ?
Options: a. 0, b. 2, c. 2.5, d. 4.67, e. 3
Output: e
Problem: from mumbai railway station, two trains a and b start simultaneously from stations 400 miles apart, and travel the same route toward each other on adjacent parallel tracks. if train a and train b travel at a constant rate of 40 miles per hour and 40 miles per hour, respectively, how many miles will train a have traveled when the trains pass each other, to the nearest mile ?
Options: a. 112, b. 133, c. 150, d. 167, e. 180
Output: e
Problem: a batsman scored 80 runs which included 2 boundaries and 2 sixes. what percent of his total score did he make by running between the wickets ?
Options: a. 45 %, b. 500 / 11, c. 75 %, d. 55 %, e. 35 %
Output: c
Problem: a certain car can travel 20 minutes on a gallon of gasoline at 60 miles per hour. if the car had started with a full tank and had 8 gallons of gasoline left in its tank at the end, then what percent of the tank was used to travel 80 miles at 60 mph ?
Options: a. 16.67 %, b. 20 %, c. 25 %, d. 30 %, e. 40 %
Output: a
Problem: there is a church tower 150 feet tall and another catholic tower at a distance of 350 feet from it which is 200 feet tall. there is one each bird sitting on top of both the towers. they fly at a constant speed and time to reach a grain in b / w the towers at the same time. at what distance from the church is the grain ?
Options: a. 170 meters, b. 160 meters, c. 150 meters, d. 140 meters, e. 130 meters
Output: c
Problem: for 1 rs 4 p interest wat will be for 5000 rs ?
Options: a. 350 rs, b. 450 rs, c. 200 rs, d. 30 rs, e. 448 rs
Output: c
Problem: a train running at the speed of 60 km / hr crosses a pole in 15 seconds. find the length of the train.
Options: a. 150 m, b. 145 m, c. 240 m, d. 135 m, e. 250 m
Output: e
Problem: a sum was put at simple interest at a certain rate for 10 years. had it been put at 5 % higher rate, it would have fetched rs. 600 more. what was the sum ?
Options: a. rs. 1200, b. rs. 1300, c. rs. 1400, d. rs. 1500, e. none of these
Output: a
Problem: a shop owner sells 60 mtr of cloth and gains sp of 10 mtrs. find the gain % ?
Options: a. 20 %, b. 40 %, c. 50 %, d. 60 %, e. 70 %
Output: a
Problem: a no. when divided by 221 gives a remainder 43, what remainder will beobtained by dividingthe same no. 17 ?
Options: a. 3, b. 6, c. 9, d. 10, e. 12
Output: c
Problem: in a certain pet shop, the ratio of dogs to cats to bunnies in stock is 4: 7: 9. if the shop carries 364 dogs and bunnies total in stock, how many dogs are there ?
Options: a. 42, b. 66, c. 98, d. 112, e. 154
Output: d
Problem: albert invested rs. 6500 in a scheme for 2 years at compound interest rate 6.5 % p. a. how much amount will albert get on maturity of the fixed deposit ?
Options: a. s. 8829, b. s. 7200, c. s. 7200.5, d. s. 4000, e. s. 7372.46
Output: e
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
Problem: if the average ( arithmetic mean ) of the 4 numbers 3, 16, 33, and ( n + 1 ) is 20, then n =
Options: a. 19, b. 20, c. 21, d. 27, e. 29
Output: d
Problem: the mean of 50 observations is 200. but later he found that there is decrements of 6 from each observations. what is the the updated mean is ?
Options: a. 165, b. 185, c. 190, d. 198, e. 194
Output: e
Problem: country c imposes a two - tiered tax on imported cars: the first tier imposes a tax of 12 % of the car ' s price up to a certain price level. if the car ' s price is higher than the first tier ' s level, the tax on the portion of the price that exceeds this value is 8 %. if ron imported a $ 14,000 imported car and ended up paying $ 1440 in taxes, what is the first tier ' s price level ?
Options: a. $ 1600, b. $ 6000, c. $ 6050, d. $ 7050, e. $ 8000
Output: e
Problem: a sum fetched a total simple interest of rs. 144 at the rate of 15 p. c. p. a. in 1 year 6 months. what is the sum ?
Options: a. 490, b. 850, c. 580, d. 640, e. 760
Output: d
Problem: the ` ` racing magic ' ' takes 120 seconds to circle the racing track once. the ` ` charging bull ' ' makes 40 rounds of the track in an hour. if they left the starting point together, how many minutes will it take for them to meet at the starting point for the second time ?
Options: a. 3, b. 6, c. 9, d. 12, e. 15
Output: d
Problem: find the constant k so that: - x 2 - ( k + 10 ) x - 8 = - ( x - 2 ) ( x - 4 )
Options: a. 11, b. 12, c. 16, d. 14, e. 15
Output: c
Problem: 102 ã — 102 + 98 ã — 98 = ?
Options: a. 20018, b. 20028, c. 20108, d. 10008, e. 20008
Output: e
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
Problem: mary works in a restaurant a maximum of 70 hours. for the first 20 hours, she is paid $ 8 per hour. for each overtime hour, she is paid at a rate which is 25 % higher than her regular rate. how much mary can earn in a week ?
Options: a. 600, b. 620, c. 660, d. 320, e. 400
Output: c
Problem: the area of a circular field is 17.56 hectares. find the cost of fencing it at the rate of rs. 4 per metre approximately
Options: a. 4457, b. 4567, c. 5943, d. 4547, e. 4675
Output: c
Problem: 49 × 49 × 49 × 49 = 7 ?
Options: a. 4, b. 7, c. 8, d. 16, e. none of these
Output: c
Problem: 30 pens and 75 pencils were purchased for 750. if the average price of a pencil was 2.00, find the average price of a pen.
Options: a. 20, b. 11, c. 12, d. 13, e. 14
Output: a
Problem: the h. c. f of two numbers is 23 and the other two factors of their l. c. m are 16 and 17. the larger of the two numbers is :
Options: a. 338, b. 278, c. 322, d. 231, e. 391
Output: e
Problem: to fill a tank, 25 buckets of water is required. how many buckets of water will be required to fill the same tank if the capacity of bucket is reduced to two - fifth of its present ?
Options: a. 52.5, b. 62.5, c. 72.5, d. 82.5, e. 81.5
Output: b
Problem: the visitors of a modern art museum who watched a certain picasso painting were asked to fill in a short questionnaire indicating whether they had enjoyed looking at the picture and whether they felt they had understood it. according to the results of the survey, all 110 visitors who did not enjoy the painting also did not feel they had understood the painting, and the number of visitors who enjoyed the painting was equal to the number of visitors who felt they had understood the painting. if 3 / 4 of the visitors who answered the questionnaire both enjoyed the painting and felt they had understood the painting, then how many visitors answered the questionnaire ?
Options: a. 90, b. 120, c. 160, d. 360, e. 440
Output: e
Problem: a rectangular lawn of length 200 m by 120 m has two roads running along its center, one along the length and the other along the width. if the width of the roads is 5 m what is the area r covered by the two roads ?
Options: a. 400, b. 1550, c. 1575, d. 1600, e. 1625
Output: c
Problem: a and b can together finish a work in 40 days. they worked together for 10 days and then b left. after another 21 days, a finished the remaining work. in how many days a alone can finish the job ?
Options: a. 10, b. 25, c. 60, d. 30, e. 28
Output: e
Problem: how many integers are between 6 and 74 / 5, inclusive ?
Options: a. 4, b. 5, c. 6, d. 7, e. 9
Output: e
Problem: what is the smallest positive integer x such that 180 - x is the cube of a positive integer
Options: a. 50, b. 52, c. 60, d. 55, e. 12
Output: d
Problem: what will be the cost of building to paint which area equal to 196 sq ft, if the price per foot of building is rs. 15 ?
Options: ['a. 120', 'b. 240', 'c. 360', 'd. 380', 'e. 840']
Output: e
Problem: in the youth summer village there are 175 people, 100 of them are not working, 75 of them have families and 125 of them like to sing in the shower. what is the largest possible number of people in the village, which are working, that do n ' t have families and that are singing in the shower ?
Options: a. 70, b. 75, c. 85, d. 80, e. 100
Output: b
Problem: if it takes a tub 3 minutes to drain 6 / 7 of its content, how much more time will it take for the tub to be empty ?
Options: a. 30 seconds, b. 1 minute, 12 seconds, c. 1 minute, 50 seconds, d. 2 minutes, 14 seconds, e. 4 minutes, 12 seconds
Output: a
Problem: exactly 3 sides of a certain 10 - sided die are red. what is the probability that kumar rolls the die 3 times and the die lands with a red side up for the first time on the third roll ?
Options: a. 0.184, b. 0.16, c. 0.18, d. 0.147, e. 0.148
Output: d
Problem: the average runs scored by a batsman in 25 matches is 45. in the next 7 matches the batsman scored an average of 15 runs. find his average in all the 32 matches ?
Options: a. 31355, b. 38.44, c. 29.55, d. 97.66, e. 45.66
Output: b
Problem: carl is facing very difficult financial times and can only pay the interest on a $ 10,000 loan he has taken. the bank charges him a quarterly compound rate of 4 %. what is the approximate interest he pays annually ?
Options: a. $ 1750, b. $ 2000, c. $ 2150, d. $ 2500, e. $ 12000
Output: a
Problem: jack and jill work at a hospital with 7 other workers. for an internal review, 2 of the 9 workers will be randomly chosen to be interviewed. what is the probability that jack and jill will both be chosen ?
Options: a. 1 / 3, b. 1 / 4, c. 1 / 15, d. 3 / 8, e. 1 / 36
Output: e
Problem: a student has to obtain 50 % of the total marks to pass. he got 200 marks and failed by 20 marks. the maximum marks are ?
Options: a. 510, b. 520, c. 530, d. 540, e. 440
Output: e
Problem: the cost of 3 pens and 5 pencils is rs. 150. also the cost of one pen and one pencil is in the ratio of 5: 1 respectively. what is the cost of one dozen pens ?
Options: a. rs. 200, b. rs. 250, c. rs. 300, d. rs. 450, e. none of these
Output: d
Problem: car dealership x, the total profit from sales increased by 8 percent over the previous years, while the number of cars sold decreased by 8 percent over the previous years. approximately what was the average percent increase in profit per car over the previous year.
Options: a. 17.39 %, b. 20 %, c. 22 %, d. 23 %, e. 25 %
Output: a
Problem: the product z of two prime numbers is between 16 and 40. if one of the prime numbers is greater than 2 but less than 6 and the other is greater than 12 but less than 30 then what is z ?
Options: a. 21, b. 22, c. 28, d. 35, e. 39
Output: e
Problem: if 4 people are selected from a group of 8 married couples, what is the probability that none of them would be married to each other ?
Options: a. 1 / 33, b. 2 / 33, c. 8 / 13, d. 16 / 33, e. 11 / 12
Output: c
Problem: the tax on a commodity is diminished by 20 % but its consumption is increased by 10 %. find the decrease percent in the revenue derived from it ?
Options: a. 20 %, b. 19 %, c. 15 %, d. 12 %, e. 24 %
Output: d
Problem: a store sells chairs and tables. if the price of 2 chairs and 1 table is 60 % of the price of 1 chair and 2 tables, and the price of 1 table and 1 chair is $ 72, what is the price, in dollars, of 1 table ? ( assume that every chair has the same price and every table has the same price. )
Options: a. 55, b. 84, c. 63, d. 75, e. 70
Output: c
Problem: a small pool filled only with water will require an additional 300 gallons of water in order to be filled to 80 % of its capacity. if pumping in these additional 300 gallons of water will increase the amount of water in the pool by 25 %, what is the total capacity of the pool in gallons ?
Options: a. 1875, b. 1250, c. 1300, d. 1600, e. 1625
Output: a
Problem: at 3: 40, the hour hand and the minute hand of a clock form an angle of
Options: a. 160 °, b. 180 °, c. 130 °, d. 110 °, e. 150 °
Output: c
Problem: heinz produces tomato puree by boiling tomato juice. the tomato puree has only 20 % water while the tomato juice has 90 % water. how many liters of tomato puree will be obtained from 20 litres of tomato juice ?
Options: a. 2.8 liters., b. 2.5 liters., c. 8.5 liters., d. 2.6 liters., e. 2.1 liters.
Output: b
Problem: if 2 ^ 5, 3 ^ 3, and 14 ^ 2 are all factors of the product of 936 and w where w is a positive integer, what is the smallest possible value of w ?
Options: a. 26, b. 39, c. 42, d. 65, e. 168
Output: e
Problem: a and b can finish a work in 10 days while b and c can do it in 18 days. a started the work, worked for 5 days, then b worked for 10 days and the remaining work was finished by c in 15 days. in how many days could c alone have finished the whole work ?
Options: a. 30 days, b. 15 days, c. 45 days, d. 24 days, e. none of these
Output: c
Problem: a boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it take 4 hours to cover the same distance running downstream. what is the ratio between the speed of the boat and speed of the water current respectively ?
Options: a. 1: 3, b. 3: 8, c. 6: 3, d. 8: 3, e. none
Output: d
Problem: if 2 ^ x + 2 ^ y = 10 ^ 0 + 90 ^ 0, where x and y are non negative integers, what is the greatest possible value of | x â € “ y | ?
Options: a. 0, b. 1, c. 2, d. 3, e. 4
Output: a
Problem: a certain bus driver is paid a regular rate of $ 16 per hour for any number of hours that does not exceed 40 hours per week. for any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75 % higher than his regular rate. if last week the bus driver earned $ 1032 in total compensation, how many total hours did he work that week ?
Options: a. 36, b. 40, c. 44, d. 48, e. 54
Output: e
Problem: find the length of the wire required to go 15 times round a square field containing 69696 m 2 ?
Options: a. 15840, b. 19879, c. 27997, d. 15842, e. 15823
Output: a
Problem: p, q and r have rs. 7000 among themselves. r has two - thirds of the total amount with p and q. find the amount with r ?
Options: a. rs. 3000, b. rs. 3600, c. rs. 2400, d. rs. 2800, e. none of these
Output: d
Problem: rahul put his timepiece on the table in such a way that at 6 p. m. hour hand points to north. in which direction the minute hand will point at 9.15 p. m. ?
Options: a. 233, b. 37, c. 27, d. west, e. 271
Output: d
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 40 overs to reach a target of 282 runs ?
Options: a. 6.25, b. 6.5, c. 6.75, d. 7.0, e. none of the above
Output: a
Problem: a and b together can complete a piece of work in 10 days. if a alone can complete the same work in 15 days, in how many days, in how many days can b alone complete that work ?
Options: a. 10, b. 30, c. 25, d. 15, e. 45
Output: b
Problem: the triplicate ratio of 2: 4 is ?
Options: a. 1: 64, b. 1: 8, c. 1: 34, d. 3: 64, e. 5: 64
Output: b
Problem: how many liters of a 40 % iodine solution need to be mixed with 35 liters of a 20 % iodine solution to create a 32 % iodine solution ?
Options: a. 35, b. 49, c. 100, d. 102, e. 140
Output: d
Problem: a garrison of 2000 men has provisions for 54 days. at the end of 18 days, a reinforcement arrives, and it is now found that the provisions will last only for 20 days more. what is the reinforcement ?
Options: a. 1977, b. 1600, c. 1979, d. 1900, e. 1278
Output: b
Problem: the average weight of 8 person ' s increases by 2.5 kg when a new person comes in place of one of them weighing 75 kg. what might be the weight of the new person ?
Options: a. 95 kg, b. 90 kg, c. 85 kg, d. data inadequate, e. none of these
Output: a
Problem: when a merchant imported a certain item, she paid a 7 percent import tax on the portion of the total value of the item in excess of $ 1,000. if the amount of the import tax that the merchant paid was $ 109.20, what was the total value of the item ?
Options: a. $ 1,600, b. $ 1,850, c. $ 2,250, d. $ 2,440, e. $ 2,560
Output: e
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
Problem: how many multiples of 3 are less than 6500, and also multiples of 7 ?
Options: a. 104, b. 208, c. 310, d. 340, e. 454
Output: c
Problem: a can finish a piece of work in 4 days. b can do it in 10 days. they work together for two days and then a goes away. in how many days will b finish the work ?
Options: a. 3, b. 5, c. 6, d. 7, e. 8
Output: a
Problem: if the sides of a triangle are 26 cm, 24 cm and 15 cm, what is its area ?
Options: a. 120, b. 772, c. 180, d. 266, e. 2848
Output: c
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
Problem: if the simple interest on a certain amount in at 4 % rate 5 years amounted to rs. 2400 less than the principal. what was the principal ?
Options: a. 1500, b. 2500, c. 2507, d. 3000, e. 11500
Output: d
Problem: out of 250 students of a college, 160 play football, 90 play cricket and 50 neither play football nor cricket. how many students play both football and cricket ?
Options: a. 30, b. 40, c. 50, d. 60, e. 70
Output: c
Problem: what is the area a of the square with the following coordinates: ( x, y ), ( 20, 20 ), ( 20, 5 ), ( x, 5 ) ?
Options: ['a. 60.', 'b. 85.', 'c. 125.', 'd. 225.', 'e. it can not be determined from the information given']
Output: d
Problem: a van takes 5 hours to cover a distance of 495 km. what speed in kph should the van maintain to cover the same distance in 3 / 2 of the previous time ?
Options: a. 60, b. 63, c. 66, d. 69, e. 72
Output: c
Problem: what is the probability of getting a queen or spade from a set of cards ?
Options: a. 3 / 13, b. 4 / 13, c. 5 / 13, d. 6 / 13, e. 7 / 13
Output: b
Problem: find the compound interest on $ 1000 in 2 years at 4 % per annum, the interest being compounded half - yearly ?
Options: a. $ 645.56, b. $ 82.43, c. $ 954.26, d. $ 745.69, e. $ 1020.45
Output: b