niryuu/sni-each-converted huggingface dataset:
Problem: what percent is 320 gm of 1 kg ?
Options: a. 25 %, b. 40 %, c. 10 %, d. 8 %, e. 32 %
Output: e
Problem: to be considered for “ movie of the year, ” a film must appear in at least 1 / 4 of the top - 10 - movies lists submitted by the cinematic academy ’ s 785 members. what is the smallest number of top - 10 lists a film can appear on and still be considered for “ movie of the year ” ?
Options: a. 191, b. 197, c. 193, d. 212, e. 213
Output: b
Problem: the number 0.5 is how much greater than 1 / 3 ?
Options: a. 1 / 6, b. 2 / 10, c. 1 / 50, d. 1 / 500, e. 2 / 500
Output: a
Problem: the concentration of spirit in 3 different vessels a, b and c are 45 %, 30 % and 10 % respectively. if 4 litres from vessel a, 5 litres from vessel b and 6 litres from vessel c are mixed, find the concentration of spirit in the resultant solution.
Options: a. 26 %, b. 33 %, c. 34 %, d. 35 %, e. 24 %
Output: a
Problem: there are 2 sections a and b in a class, consisting of 50 and 70 students respectively. if the average weight of section a is 50 kg and that of section b is 70 kg, find the average of the whole class ?
Options: a. 50.78 kg, b. 49.32 kg, c. 61.67 kg, d. 69.15 kg, e. 70.89 kg
Output: c
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
Problem: if x ^ 2 – 3 x = 18, then one possible value of x – 4 =
Options: a. - 9, b. - 5, c. - 3, d. - 1, e. 2
Output: e
Problem: if 4 x + y = 8 and 3 x - 4 y = 5, then what is the value of 7 x - 3 y ?
Options: a. 23, b. 3, c. 15, d. 52 / 7, e. 60 / 7
Output: a
Problem: find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 11 cm.
Options: a. 335 cm 2, b. 209 cm 2, c. 285 cm 2, d. 825 cm 2, e. 725 cm 2
Output: b
Problem: working alone, a can complete a certain kind of job in 3 hours. a and d, working together at their respective rates, can complete one of these jobs in 2 hours. in how many hours can d, working alone, complete one of these jobs ?
Options: a. 2, b. 4, c. 6, d. 8, e. 10
Output: c
Problem: a class of boys stands in a single line, one boy is 19 th in order from both the ends, how many boys are there in the class ?
Options: a. 37, b. 38, c. 27, d. 29, e. 11
Output: a
Problem: what number must be added to 6, 16 and 8 to get an average of 13 ?
Options: a. 23, b. 22, c. 44, d. 33, e. 55
Output: b
Problem: the average age of 30 students in a class is 15 years. if the age of teacher is also included, the average becomes 16 years, find the age of the teacher.
Options: a. 46, b. 55, c. 43, d. 39, e. 54
Output: a
Problem: if x = the product of 7 distinct prime numbers, how many factors does x have besides 1 and itself ?
Options: a. 108, b. 114, c. 120, d. 126, e. 132
Output: d
Problem: how many integers n are prime numbers in the range 200 < n < 220 ?
Options: a. 1, b. 2, c. 3, d. 4, e. 5
Output: a
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
Problem: a copy machine, working at a constant rate, makes 35 copies per minute. a second copy machine, working at a constant rate, makes 65 copies per minute. working together at their respective rates, how many copies do the two machines make in half an hour ?
Options: a. 3,000, b. 2,700, c. 4,500, d. 5,400, e. 324,000
Output: a
Problem: what will be the compound interest on a sum of rs. 28,000 after 3 years at the rate of 12 % p. a. ?
Options: a. s. 10123.77, b. s. 10123.21, c. s. 10123.20, d. s. 10123.28, e. s. 11337.98
Output: e
Problem: what is the greatest positive integer x such that 3 ^ x is a factor of 9 ^ 5 ?
Options: a. 5, b. 9, c. 10, d. 20, e. 30
Output: c
Problem: 10 % people of a village in sri lanka died by bombardment, 20 % of the remainder left the village on account of fear. if now the population is reduced to 4554, how much was it in the beginning ?
Options: a. 7349, b. 6300, c. 6325, d. 6939, e. 2989
Output: c
Problem: cost is expressed by the formula tb ^ 4. if b is doubled, the new cost w is what percent of the original cost ?
Options: a. w = 200, b. w = 600, c. w = 800, d. w = 1600, e. w = 50
Output: d
Problem: if a car went the first third of the distance at 80 kmh, the second third at 30 kmh, and the last third at 48 kmh, what was the average speed of the car for the entire trip ?
Options: a. 36 kmh, b. 40 kmh, c. 42 kmh, d. 45 kmh, e. 50 kmh
Output: d
Problem: a cement mixture is composed of 3 elements. by weight, 1 / 2 of the mixture is sand, 1 / 5 of the mixture is water, and the remaining 15 pounds of the mixture is gravel. what is the weight of the entire mixture in pounds ?
Options: a. 30, b. 40, c. 50, d. 60, e. 80
Output: c
Problem: the compound ratio of 2 / 3, 6 / 7, 4 / 3 and 1 / 8 is given by ?
Options: a. 2 / 21, b. 1 / 48, c. 1 / 98, d. 1 / 96, e. 1 / 68
Output: a
Problem: the center of a circle lies on the origin of the coordinate plane. if a point ( x, y ) is randomly selected inside of the circle, what is the probability that y > x or x > 0 ?
Options: a. 7 / 8, b. 5 / 6, c. 3 / 8, d. 1 / 2, e. 3 / 4
Output: a
Problem: reema took a loan of rs 900 with simple interest for as many years as the rate of interest. if she paid rs. 729 as interest at the end of the loan period, what was the rate of interest.
Options: a. 5 %, b. 6 %, c. 7 %, d. 8 %, e. 9 %
Output: e
Problem: of the 20 members of a kitchen crew, 17 can use the meat - cutting machine, 18 can use the bread - slicing machine, and 15 can use both machines. if one member is chosen at random, what is the probability that the member chosen will be someone who can not use either machine ?
Options: a. 0, b. 1 / 10, c. 1 / 7, d. 1 / 4, e. 1 / 3
Output: a
Problem: the average of first 9 natural numbers is ?
Options: a. 1.5, b. 2.5, c. 3.5, d. 4.5, e. 5.5
Output: d
Problem: buses a and b start from a common bus stop x. bus a begins to travel in a straight line away from bus b at a constant rate of 20 miles per hour. one hour later, bus b begins to travel in a straight line in the exact opposite direction at a constant rate of 80 miles per hour. if both buses travel indefinitely, what is the positive difference, in minutes, between the amount of time it takes bus b to cover the exact distance that bus a has covered and the amount of time it takes bus b to cover twice the distance that bus a has covered ?
Options: a. 36, b. 72, c. 132, d. 144, e. 180
Output: c
Problem: a student committee on academic integrity has 132 ways to select a president and vice president from a group of candidates. the same person can not be both president and vice president. how many candidates are there ?
Options: a. 7, b. 8, c. 9, d. 10, e. 12
Output: e
Problem: a grocery store bought some mangoes at a rate of 5 for a dollar. they were separated into two stacks, one of which was sold at a rate of 3 for a dollar and the other at a rate of for a dollar. what was the ratio of the number of mangoes in the two stacks if the store broke even after having sold all of its mangoes ?
Options: a. 1: 4, b. 16: 9, c. 2: 3, d. 1: 2, e. 2: 5
Output: b
Problem: if an investor puts $ 800 in a savings account that earns 10 percent annual interest compounded semiannually, how much money will be in the account after one year ?
Options: a. $ 878, b. $ 880, c. $ 882, d. $ 884, e. $ 886
Output: c
Problem: in an election between two candidates, one got 55 % of the total valid votes. 20 % of the votes were invalid. if the total number of votes was 7500, what was the number of valid votes that the other candidate got ?
Options: a. 2800, b. 2700, c. 2100, d. 2500, e. 3000
Output: b
Problem: the average of first five multiples of 6 is ?
Options: a. 6, b. 18, c. 9, d. 5, e. 7
Output: b
Problem: indu gave bindu rs. 625 on compound interest for 2 years at 4 % per annum. how much loss would indu has suffered had she given it to bindu for 2 years at 4 % per annum simple interest ?
Options: a. 1, b. 2, c. 7, d. 4, e. 9
Output: a
Problem: a bag contains 3 red, 5 yellow and 4 green balls. 3 balls are drawn randomly. what is the probability that the balls drawn contain balls of different colours ?
Options: a. 2 / 7, b. 3 / 5, c. 3 / 11, d. 1 / 4, e. 7 / 16
Output: c
Problem: the market value of a certain machine decreased by 10 percent of its purchase price each year. if the machine was purchased in 1982 for its market value of $ 8000, what was its market value two years later ?
Options: a. $ 8,000, b. $ 5,600, c. $ 3,200, d. $ 6,400, e. $ 800
Output: d
Problem: two numbers are less than third number by 60 % and 74 % respectively. how much percent is the second number less than by the first ?
Options: a. 18 %, b. 29 %, c. 35 %, d. 41 %, e. none of these
Output: c
Problem: a 1400 m long train crosses a tree in 100 sec, how much time will it take to pass a platform 700 m long ?
Options: a. 288, b. 190, c. 150, d. 188, e. 12
Output: c
Problem: the product of two positive integers is 675 and their difference is 2. what is the bigger number ?
Options: a. 21, b. 23, c. 25, d. 27, e. 29
Output: d
Problem: during the last 4 years, a large truck company purchased diesel at rates of $ 1.2, $ 1.3, $ 1.8 and $ 2.1 per gallon. what was the mean cost of diesel over the 4 - year period if the company spends the same amount of dollars on diesel each year ?
Options: a. $ 2.5, b. $ 2.55, c. $ 1.52, d. $ 3.25, e. $ 3.0
Output: c
Problem: after spending rs. 5000 on rent, rs. 1500 on milk, rs. 4500 on groceries, rs. 2500 on childrens education rs. 2000 on petrol and rs. 5200 on miscellaneous expenses, mr. kishore saved 10 % of his monthly salary. how much did he save in rs. ?
Options: a. 2160, b. 2350, c. 2000, d. 2300, e. none of these
Output: d
Problem: shekar scored 76, 65, 82, 47 and 85 marks in mathematics, science, social studies, english and biology respectively. what are his average marks ?
Options: a. 71, b. 69, c. 75, d. 85, e. 90
Output: a
Problem: at an elementary school, 70 % of the faculty members are women and 60 % of the faculty members are married. if 2 ⁄ 3 of the men are single, what fraction of the women are married ?
Options: a. 5 ⁄ 7, b. 7 ⁄ 10, c. 1 ⁄ 3, d. 7 ⁄ 30, e. 5 ⁄ 70
Output: a
Problem: how many multiples of 4 are there between 12 and 104, inclusive ?
Options: a. 21, b. 22, c. 23, d. 24, e. 25
Output: d
Problem: a high school has 400 students 1 / 2 attend the airthmetic club, 5 / 8 attend the physics club and 3 / 4 attend the chemistry club. 3 / 8 attend all 3 clubs. if every student attends at least one club how many students attend exactly 2 clubs.
Options: a. 80, b. 70, c. 60, d. 50, e. 30
Output: d
Problem: how many kg of rice at rs. 6.60 per kg. be mixed with 56 kg of rice at rs. 9.60 per kg to get a mixture worth rs. 8.20 per kg
Options: a. 56 kg, b. 52 kg, c. 44 kg, d. 49 kg, e. none of these
Output: d
Problem: a box measuring 36 inches long by 45 inches wide by 18 inches deep is to be filled entirely with identical cubes. no space is to be left unfilled. what is the smallest number of cubes that can accomplish this objective ?
Options: a. 32, b. 34, c. 38, d. 40, e. 42
Output: d
Problem: the dimensions of a rectangular solid are 4 inches, 5 inches, and 12 inches. if a cube, a side of which is equal to one of the dimensions of the rectangular solid, is placed entirely within thespherejust large enough to hold the cube, what the ratio of the volume of the cube to the volume within thespherethat is not occupied by the cube ?
Options: a. 10: 17, b. 2: 5, c. 5: 16, d. 25: 7, e. 10: 21
Output: e
Problem: tanks a and b are each in the shape of a right circular cylinder. the interior of tank a has a height of 10 meters and a circumference of 8 meters, and the interior of tank b has a height of 8 meters and a circumference of 10 meters. the capacity of tank a is what percent of the capacity of tank b ?
Options: a. 90 %, b. 50 %, c. 60 %, d. 70 %, e. 80 %
Output: e
Problem: a person ' s present age is two - fifth of the age of his mother. after 8 years, he will be one - half of the age of his mother. how old is the mother at present
Options: a. 38, b. 40, c. 42, d. 44, e. 45
Output: b
Problem: in town x, 64 percent of the population are employed, and 47 percent of the population are employed males. what percent of the employed people in town x are females ?
Options: a. 16 %, b. 46 %, c. 32 %, d. 24 %, e. 52 %
Output: d
Problem: when positive integer n is divided by positive integer j, the remainder is 18. if n / j = 134.03, what is value of j ?
Options: a. 22, b. 56, c. 78, d. 112, e. 600
Output: e
Problem: the present population of a town is 3744. population increase rate is 20 % p. a. find the population of town before 2 years ?
Options: a. 2500, b. 2600, c. 3500, d. 3600, e. 2050
Output: b
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 $ 6.50 per hour, how much less than a manager does a chef earn each hour ?
Options: a. $ 2.6, b. $ 2.40, c. $ 3.40, d. $ 4.40, e. $ 5.40
Output: a
Problem: the cost of paint is 60 per kilograme. a kilogram paint covers 20 square feet. how much will it cost to paint the outside of a cube having each side 10 feet ?
Options: ['a. 3000', 'b. 900', 'c. 1800', 'd. 360', 'e. none of these']
Output: c
Problem: a man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 0.5 kmph, find his average speed for the total journey ?
Options: a. 4, b. 3.5, c. 3, d. 3.1, e. 2.8
Output: d
Problem: the original price of a suit is $ 160. the price increased 25 %, and after this increase, the store published a 25 % off coupon for a one - day sale. given that the consumers who used the coupon on sale day were getting 25 % off the increased price, how much did these consumers pay for the suit ?
Options: a. $ 140, b. $ 145, c. $ 150, d. $ 155, e. $ 160
Output: c
Problem: the least perfect square, which is divisible by each of 21, 36 and 66 is
Options: a. 213414, b. 213424, c. 213434, d. 213444, e. none of these
Output: d
Problem: a merchant sells an item at a 20 % discount, but still makes a gross profit of 40 percent of the cost. what percent of the cost would the gross profit on the item have been if it had been sold without the discount ?
Options: a. 20 %, b. 40 %, c. 50 %, d. 60 %, e. 75 %
Output: e
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
Problem: in a village there are 150 men and 90 women in present time. if in next year population will be p = ( a ^ 2 + b ^ 2 ) ^ 1 / 2, and in every year men are reduces 4 %. what is population of after 2 year.
Options: a. 140, b. 141, c. 142, d. 143, e. 147
Output: e
Problem: if | x + 132 | = 32 what is the sum of all the values of x.
Options: a. - 264, b. 200, c. - 64, d. 0, e. - 328
Output: a
Problem: of 60 children, 30 are happy, 10 are sad, and 20 are neither happy nor sad. there are 19 boys and 41 girls. if there are 6 happy boys and 4 sad girls, how many boys are neither happy nor sad ?
Options: a. 2, b. 7, c. 6, d. 8, e. 10
Output: b
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 $ 64, 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. 48, b. 52, c. 54, d. 58, e. 56
Output: e
Problem: if the radius of a circle that centers at the origin is 5, how many points q on the circle have integer coordinates ?
Options: a. 4, b. 8, c. 12, d. 15, e. 20
Output: c
Problem: the ratio of the radius of two circles is 1: 5, and then the ratio of their areas is ?
Options: a. 1: 7, b. 2: 9, c. 1: 25, d. 3: 7, e. 3: 4
Output: c
Problem: the average of 11 numbers is 60. out of 11 numbers the average of first 6 no. is 98, and last 6 numbers is 65 then find 6 th number ?
Options: a. a. 318, b. b. 65, c. c. 58, d. d. 62, e. e. 48
Output: a
Problem: a man bought 40 shares of rs. 60 at 8 discount, the rate of dividend being 1212 % the rate of interest obtained is
Options: a. 13.64 %, b. 15.5 %, c. 14 %, d. 14.42 %, e. 14.95 %
Output: d
Problem: the area of a triangle is 615 m 2. if one of its sides is 123 metre, find the length of the perpendicular dropped on that side from opposite vertex.
Options: ['a. 15 metres', 'b. 12 metres', 'c. 10 metres', 'd. 9 metres', 'e. none of these']
Output: c
Problem: in an election between the two candidates, the candidates who gets 60 % of votes polled is wined by 280 votes majority. what is the total number of votes polled ?
Options: a. 1400, b. 1500, c. 1600, d. 1700, e. 1800
Output: a
Problem: solve the equation for x: 6 x - 47 + 3 x = 4 + 9 - x
Options: a. 4, b. 5, c. 7, d. 9, e. 6
Output: e
Problem: what is the remainder if 7 ^ 12 is divided by 100 ?
Options: a. 1, b. 2, c. 3, d. 4, e. 5
Output: a
Problem: calculate the average of all the numbers between 10 and 86 which are divisible by 9.
Options: a. 49.5, b. 41.5, c. 45.5, d. 40.5, e. 47.5
Output: a
Problem: what is the length of a bridge ( in meters ), which a train 156 meters long and travelling at 45 km / h can cross in 30 seconds ?
Options: a. 203, b. 211, c. 219, d. 227, e. 235
Output: c
Problem: zachary is helping his younger brother, sterling, learn his multiplication tables. for every question that sterling answers correctly, zachary gives him 3 pieces of candy. for every question that sterling answers incorrectly, zachary takes away two pieces of candy. after 6 questions, if sterling had answered 2 more questions correctly, he would have earned 31 pieces of candy. how many of the 6 questions did zachary answer correctly ?
Options: a. 6, b. 7, c. 8, d. 9, e. 10
Output: b
Problem: the average of first 17 even numbers is ?
Options: a. 10, b. 11, c. 18, d. 20, e. 24
Output: c
Problem: the average of all odd numbers up to 200 is
Options: a. 50, b. 100, c. 120, d. 75, e. 80
Output: b
Problem: a and b are two multiples of 14, and q is the set of consecutive integers between a and b, inclusive. if q contains 11 multiples of 14, how many multiples of 7 are there in q ?
Options: a. 19, b. 20, c. 21, d. 22, e. 23
Output: c
Problem: the ratio between the presents of the a and b is 2: 3. if b is 5 years older than a, what will be the ratio of the ages of a and b after 5 years ?
Options: a. 3: 4, b. 1: 2, c. 2: 3, d. 5: 6, e. 1: 3
Output: a
Problem: a man gains 40 % by selling an article for a certain price. if he sells it at double the price, the percentage of profit will be.
Options: a. 130 %, b. 180 %, c. 150 %, d. 160 %, e. 170 %
Output: b
Problem: if x * y = xy – 2 ( x + y ) for all integers x and y, then 1 * ( – 3 ) =
Options: a. – 16, b. – 11, c. – 4, d. 4, e. 1
Output: e
Problem: on increasing the price of t. v. sets by 40 %, their sale decreases by 20 %. what is the effect on the revenue receipts of the shop ?
Options: a. 4, b. 5, c. 56, d. 12, e. 7
Output: d
Problem: 0.002 x 0.5 = ?
Options: a. 0.0001, b. 0.001, c. 0.01, d. 0.1, e. none of these
Output: b
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
Problem: a certain sum is invested at simple interest at 18 % p. a. for two years instead of investing at 12 % p. a. for the same time period. therefore the interest received is more by rs. 300. find the sum ?
Options: a. 7000, b. 2500, c. 2778, d. 2800, e. 2791
Output: b
Problem: at a monthly meeting, 3 / 5 of the attendees were males and 7 / 8 of the male attendees arrived on time. if 4 / 5 of the female attendees arrived on time, what fraction of the attendees at the monthly meeting did not arrive on time ?
Options: a. 47 / 200, b. 31 / 200, c. 17 / 100, d. 11 / 100, e. 7 / 50
Output: b
Problem: how many quarters are equal to 4 dollars ?
Options: a. 16, b. 8, c. 12, d. 9, e. 7
Output: a
Problem: 1391 x 1391 = ?
Options: a. a. 1951609, b. b. 1951601, c. c. 1951602, d. d. 1951603, e. e. 1934881
Output: e
Problem: danny and steve are running towards each other, each one from his own house. danny can reach steve ' s house in 33 minutes of running, which is half the time it takes steve to reach danny ' s house. if the two started to run at the same time, how much time longer will it take steve to reach the halfway point between their houses than danny to reach the halfway point between their houses ?
Options: a. 16.5 minutes, b. 33 minutes, c. 49.5 minutes, d. 66 minutes, e. 99 minutes
Output: a
Problem: the compound interest on $ 30,000 at 7 % p. a is $. 4347. find out the period ( in years ) ?
Options: a. 1, b. 1.5, c. 2, d. 2.5, e. 3
Output: c
Problem: a fair 2 sided coin is flipped 4 times. what is the probability that tails will be the result at least twice, but not more than 4 times ?
Options: a. 1 / 8, b. 2 / 3, c. 5 / 8, d. 4 / 7, e. 3 / 7
Output: c
Problem: i have only 1 $ and 2 $ note. i want to give 95 $ to john. how many maximum number of 1 $ note i need ?
Options: a. 53, b. 35, c. 47, d. 95, e. 62
Output: d
Problem: how many multiples of 6 are less than 5000, and also multiples of 8 ?
Options: a. 104, b. 208, c. 625, d. 832, e. 833
Output: b
Problem: audrey 4 hours to complete a certain job. ferris can do the same job in 3 hours. audrey and ferris decided to collaborate on the job, working at their respective rates. while audrey worked continuously, ferris took 5 breaks of equal length. if the two completed the job together in 2 hours, how many minutes long was each of ferris ’ breaks ?
Options: a. 5, b. 6, c. 15, d. 20, e. 25
Output: b
Problem: find the sum of divisors of 544 which are perfect squares.
Options: a. 32, b. 64, c. 42, d. 21, e. none of these
Output: d
Problem: a glass was filled with 10 ounces of water, and 0.03 ounce of the water evaporated each day during a 20 - day period. what percent of the original amount of water evaporated during this period ?
Options: a. 0.006 %, b. 0.06 %, c. 0.6 %, d. 6 %, e. 60 %
Output: d
Problem: a cistern is normally filled in 6 hours but takes two hours longer to fill because of a leak in its bottom. if the cistern is full, the leak will empty it in ?
Options: a. 33, b. 88, c. 24, d. 99, e. 11
Output: c
Problem: a mobile battery in 1 hour charges to 20 percent. how much time ( in minute. will it require more to charge to 50 percent.
Options: a. 145, b. 150, c. 175, d. 160, e. 130
Output: b
Problem: the diagonals of a rhombus are 10 cm and 12 cm. find its area ?
Options: a. 158, b. 60, c. 150, d. 123, e. 117
Output: b
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 weighs 8 g / cm 3, then the weight of the pipe is :
Options: a. 3.6 kg, b. 3.696 kg, c. 36 kg, d. 36.9 kg, e. none
Output: b
Problem: in the forestside summer camp there are 50 children. 90 % of the children are boys and the rest are girls. the camp administrator decided to make the number of girls only 5 % of the total number of children in the camp. how many more boys must she bring to make that happen ?
Options: a. 50., b. 45., c. 40., d. 30., e. 25.
Output: a
Problem: on dividing 109 by a number, the quotient is 9 and the remainder is 1. find the divisor ?
Options: a. 10, b. 12, c. 14, d. 16, e. 18
Output: b
Problem: kathleen can paint a room in 4 hours, and anthony can paint an identical room in 5 hours. how many hours would it take kathleen and anthony to paint both rooms if they work together at their respective rates ?
Options: a. 8 / 15, b. 40 / 9, c. 15 / 8, d. 9 / 4, e. 15 / 4
Output: b
Problem: if 0.75: x: : 10: 8, then x is equal to :
Options: a. a. 0.6, b. b. 0.8, c. c. 0.85, d. d. 0.5, e. e. none
Output: a
Problem: there are 2 sections a and b in a class, consisting of 36 and 44 students respectively. if the average weight of section a is 40 kg and that of section b is 35 kg, find the average of the whole class ?
Options: a. 35.29 kg, b. 37.25 kg, c. 42.45 kg, d. 55.12 kg, e. 29.78 kg
Output: b
Problem: a box contains 100 pairs of shoes ( 200 shoes in total ). if two shoes are selected at random, what it is the probability that they are matching shoes ?
Options: a. 1 / 190, b. 1 / 20, c. 1 / 199, d. 1 / 10, e. 1 / 9
Output: c
Problem: the nasdaq index has decreased by 70 % since year 2000. how much should the index increase in order to gain the same value as in year 2000 ?
Options: a. 400 %, b. 80 %, c. 233 %, d. 60 %, e. none of the above
Output: c
Problem: the sum of three consecutive numbers is 102. the greatest among these three number is :
Options: a. 26, b. 35, c. 29, d. 30, e. 31
Output: b
Problem: a dishonest dealer claims to sell a product at its cost price. he uses a counterfeit weight which is 20 % less than the real weight. further greed overtook him and he added 40 % impurities to the product. find the net profit percentage of the dealer ?
Options: a. 94 %, b. 87.5 %, c. 55 %, d. 56.25 %, e. 36 %
Output: b
Problem: if the simple interest on a sum of money for 2 years at 5 % per annum is rs. 52, what is the compound interest on the same sum at the rate and for the same time ?
Options: a. s. 53.30, b. s. 53.22, c. s. 51.219, d. s. 53.18, e. s. 51.10
Output: a
Problem: 29 persons can repair a road in 16 days, working 5 hours a day. in how many days will 30 persons, working 6 hours a day, complete the work ?
Options: a. 12.88, b. 3.88, c. 13.88, d. 15, e. 18.8
Output: a
Problem: the income tax in country x is 8 % of any income up to $ 5000. for incomes over $ 5000, an 8 % tax is imposed on the first $ 5000, and a 10 % tax is imposed on the portion of the total income in excess of $ 5000. if perry paid $ 950 in income tax last month, then what was perry ' s income ?
Options: a. $ 10500, b. $ 11000, c. $ 13000, d. $ 13500, e. $ 14,000
Output: a
Problem: a shopkeeper sold an book offering a discount of 5 % and earned a profit of 23.5 %. what would have been the percentage of profit earned if no discount was offered ?
Options: a. 140, b. 120, c. 130, d. 110, e. 150
Output: c
Problem: if n = 2 ^ 0.15 and n ^ b = 8, b must equal
Options: a. 3 / 80, b. 3 / 5, c. 20, d. 5 / 3, e. 80 / 3
Output: c
Problem: last year sandy saved 10 % of her annual salary. this year, she made 10 % more money than last year, and she saved 6 % of her salary. the amount saved this year was what percent of the amount she saved last year ?
Options: a. 66 %, b. 80 %, c. 112 %, d. 136 %, e. 148 %
Output: a
Problem: the value of a scooter depreciates in such a way that its value of the end of each year is 3 / 4 of its value of the beginning of the same year. if the initial value of the scooter is rs. 40000, what is the value at the end of 2 years ?
Options: a. 3277, b. 2977, c. 22500, d. 6077, e. 17112
Output: c
Problem: 5 years ago, paula was 3 times as old as karl. in 6 years, paula will be twice as old as karl. what is the sum of their ages now ?
Options: a. 42, b. 46, c. 50, d. 54, e. 58
Output: d
Problem: one fourth of a solution that was 8 % sugar by weight was replaced by a second solution resulting in a solution that was 16 percent sugar by weight. the second solution was what percent sugar by weight ?
Options: a. 74 %, b. 52 %, c. 40 %, d. 18 %, e. 8.5 %
Output: c
Problem: a and b invests rs. 2000 and rs. 4000 respectively in a business. if a doubles his capital after 6 months. in what ratio should a and b divide that year ' s profit ?
Options: a. 3: 5, b. 3: 4, c. 9: 2, d. 9: 9, e. 3: 1
Output: b
Problem: two trains of equal lengths take 8 sec and 15 sec respectively to cross a telegraph post. if the length of each train be 120 m, in what time will they cross other travelling in opposite direction ?
Options: a. 22, b. 12, c. 77, d. 10, e. 21
Output: d
Problem: a certain list consists of 21 different numbers. if n is in the list and n is 5 times the average ( arithmetic mean ) of the other 20 numbers in the list, then n is what fraction of the sum of the 21 numbers in the list ?
Options: a. 1 / 20, b. 1 / 6, c. 1 / 5, d. 4 / 21, e. 5 / 21
Output: c
Problem: danny and steve are running towards each other, each one from his own house. danny can reach steve ' s house in 27 minutes of running, which is half the time it takes steve to reach danny ' s house. if the two started to run at the same time, how much time longer will it take steve to reach the halfway point between their houses than danny to reach the halfway point between their houses ?
Options: a. 13.5 minutes, b. 27 minutes, c. 35 minutes, d. 54 minutes, e. 81 minutes
Output: a
Problem: mr. loyd wants to fence his square shaped land of 120 sqft each side. if a pole is laid every 12 ft how many poles do he need ?
Options: a. 20, b. 30, c. 40, d. 50, e. 60
Output: c
Problem: a number exceeds by 40 from its 3 / 8 part. then the number is ?
Options: a. a. 32, b. b. 24, c. c. 64, d. d. 40, e. e. 45
Output: c
Problem: amar takes as much time in running 22 meters as a car takes in covering 58 meters. what will be the distance covered by amar during the time the car covers 2.6 km ?
Options: a. 700 m, b. 978 m, c. 970 m, d. 986 m, e. 640 m
Output: d
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
Problem: the average age of 28 students in a group is 12 years. when teacher â € ™ s age is included to it, the average increases by one. what is the teacher â € ™ s age in years ?
Options: a. 31, b. 36, c. 41, d. 51, e. none
Output: c
Problem: a rectangular tiled patio is composed of 60 square tiles. the rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles. after the change in layout, the patio will still have 60 tiles, and it will still be rectangular. how many rows are in the tile patio before the change in layout ?
Options: a. 5, b. 6, c. 10, d. 13, e. 8
Output: e
Problem: when the perimeter of a regular polygon is divided by 5, the length of a side is 25. what is the name of the polygon ? what is the perimeter ?
Options: ['a. 125', 'b. 126', 'c. 127', 'd. 128', 'e. 129']
Output: a
Problem: a vessel of capacity 60 litres is fully filled with pure milk. nine litres of milk is removed from the vessel and replaced with water. nine litres of the solution thus formed is removed and replaced with water. find the quantity of pure milk in the final milk solution ?
Options: a. 23.89, b. 72.9, c. 38.3, d. 43.35, e. 79.3
Output: d
Problem: an empty wooden vessel weighs 8 % of its total weight when filled with paint. if the weight of a partially filled vessel is one half that of a completely filled vessel, what fraction of the vessel is filled.
Options: a. 3 / 7, b. 5 / 9, c. 1 / 24, d. 4 / 9, e. 2 / 5
Output: a
Problem: in a government institute 20 nos. staffs are employed. in a festival season their boss give festival allowance to all. he says his accountant to calculate for 30 days @ 100. also he says balance payment will give to driver and cleaning staff and to be adjust from petty cash. he had given rs. 65000 / - to the accountant. how much amount will taken from petty cash ?
Options: a. a. 1000, b. b. 3000, c. c. 3500, d. d. 2500, e. e. 2250
Output: a
Problem: if $ 5,000 is invested in an account that earns 4 % interest compounded semi - annually, then the interest earned after one year would be how much greater than if the $ 5,000 had been invested at 8 % simple yearly interest ?
Options: a. $ 4, b. $ 8, c. $ 12, d. $ 16, e. $ 432
Output: a
Problem: an amount of money is to be distributed among faruk, vasim and ranjith in the ratio 3: 5: 7. if vasims share is rs. 1500, what is the difference between faruk ' s and ranjith ' s shares ?
Options: a. rs 1200, b. rs 1500, c. rs 1600, d. rs 1900, e. rs 1700
Output: a
Problem: in a company of 10 employees, 5 employees earn $ 30,000, 3 employees earn $ 40,000, and the 2 highest - paid employees earn the same amount. if the average annual salary for the 10 employees is $ 65,000, what is the annual salary for each of the highest - paid employees ?
Options: a. $ 190,000, b. $ 170,000, c. $ 150,000, d. $ 130,000, e. $ 110,000
Output: a
Problem: a man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey ?
Options: a. 4, b. 5, c. 6, d. 7, e. 8
Output: a
Problem: if a sum of money doubles itself in 25 years at simple interest, the ratepercent per annum is
Options: a. 12, b. 12.5, c. 13, d. 13.5, e. 4
Output: e
Problem: a company produces 50000 bottles of water everyday. if a case can hold 25 bottles of water. how many cases are required by the company to hold its one day production
Options: a. 2000, b. 4500, c. 5000, d. 8000, e. 9000
Output: a
Problem: a small pool filled only with water will require an additional 700 gallons of water in order to be filled to 80 % of its capacity. if pumping in these additional 700 gallons of water will increase the amount of water in the pool by 30 %, what is the total capacity of the pool in gallons ?
Options: a. 1000, b. 1250, c. 1300, d. 1600, e. 2125
Output: e
Problem: a group of students decided to collect as many paise from each member of group as is the number of members. if the total collection amounts to rs. 4356, the number of the member is the group is :
Options: a. 57, b. 66, c. 77, d. 87, e. 97
Output: b
Problem: the difference of two numbers is 2 and the difference of their squares is 12. the sum of the number is
Options: a. 6, b. 8, c. 10, d. 22, e. 24
Output: a
Problem: a type of extra - large suv averages 12.2 miles per gallon ( mpg ) on the highway, but only 7.6 mpg in the city. what is the maximum distance, in miles, that this suv could be driven on 25 gallons of gasoline ?
Options: a. 190, b. 284.6, c. 300, d. 305, e. 312
Output: d
Problem: 5 men are equal to as many women as are equal to 8 boys. all of them earn rs. 120 only. men â € ™ s wages are ?
Options: a. 6 rs, b. 2 rs, c. 4 rs, d. 9 rs, e. 8 rs
Output: e
Problem: 3 / 5 of all married couples have more than one child. 1 / 4 of all married couples have more than 3 children. what fraction of all married couples have 2 or 3 children ?
Options: a. 1 / 5, b. b. 1 / 4, c. 7 / 20, d. 3 / 5, e. it can not be determined from the given information.
Output: c
Problem: a and b are two partially filled buckets of water. if 5 liters are transferred from a to b, then a would contain one - third of the amount of water in b. alternatively, if 4 liters are transferred from b to a, b would contain one - half of the amount of water in a. bucket a contains how many liters of water ?
Options: a. 11, b. 52 / 5, c. 17, d. 21, e. 23
Output: b
Problem: a company pays 12.5 % dividend to its investors. if an investor buys rs. 60 shares and gets 25 % on investment, at what price did the investor buy the shares ?
Options: a. 25, b. 66, c. 30, d. 19, e. 01
Output: c
Problem: of the 13 employees in a certain department, 1 has an annual salary of 38,000, 2 have an annual salary of 45,500 each, 2 have an annual salary of 42,500 each, 3 have an annual salary of 40,000 each and 5 have an annual salary of 48,500 each. what is the median annual salary for the 13 employees ?
Options: a. 38,000, b. 40,000, c. 42,500, d. 45,500, e. 48,500
Output: d
Problem: what is the 10 digit to the right of the decimal point, in the decimal expansion of ( 1 / 2 ) ^ 10 ?
Options: a. 9, b. 4, c. 2, d. 1, e. 5
Output: e
Problem: find the curved surface area, if the radius of a cone is 35 m and slant height is 30 m ?
Options: a. 1100, b. 2200, c. 3300, d. 4400, e. 5500
Output: c
Problem: the sum of two numbers is 20 and the sum of their squares is 140. find the product of the two numbers.
Options: a. 130, b. 140, c. 120, d. 145, e. 150
Output: a
Problem: a man have 8 t - shirt and some pant. he can dress in 72 ways. then tell me the no. of pant that man have.
Options: a. 8, b. 9, c. 10, d. 11, e. 12
Output: b
Problem: on average, machine a will produce a completed item once every 4 minutes, and machine b will produce a completed item once every 5 minutes. the number of items machine a produces in a 24 - hour period is approximately what percent greater than the number of items machine b would produce in that same period ?
Options: a. 25 %, b. 15 %, c. 45 %, d. 33 %, e. 55 %
Output: a
Problem: what is the divisor ? the dividend is 76, the remainder is 8, the quotient is 4
Options: a. 32, b. 48, c. 67, d. 17, e. 26
Output: d
Problem: in a certain corporation, there are 300 male employees and 150 female employees. it is known that 30 % of the male employees have advanced degrees and 40 % of the females have advanced degrees. if one of the 450 employees is chosen at random, what is the probability this employee has an advanced degree or is female ?
Options: a. 2 / 3, b. 3 / 5, c. 3 / 10, d. 8 / 15, e. 11 / 30
Output: d
Problem: at what rate percent per annum will a sum of money double in 6 years.
Options: a. 12.5 %, b. 13.5 %, c. 11.5 %, d. 14.5 %, e. 16.6 %
Output: e
Problem: if 8 gallons of gasoline are added to a tank that is already filled to 3 / 4 of its capacity, the tank is then filled to 9 / 10 of its capacity. how many gallons does the tank hold ?
Options: a. 20, b. 24, c. 36, d. 48, e. 60
Output: d
Problem: a certain company ’ s profit in 1996 was 15 percent greater than its profit in 1995, and its profit in 1997 was 20 percent greater than its profit in 1996. the company ’ s profit in 1997 was what percent greater than its profit in 1995 ?
Options: a. 5 %, b. 18 %, c. 33 %, d. 35 %, e. 38 %
Output: e
Problem: what percent of 250 is 45 ?
Options: a. 0.25 %, b. 18 %, c. 25 %, d. 40 %, e. 250 %
Output: b
Problem: i chose a number and divide it by 2. then i subtracted 100 from the result and got 4. what was the number i chose ?
Options: a. 200, b. 208, c. 400, d. 500, e. 100
Output: b
Problem: the perimeter of an isosceles right triangle is 12 + 12 sq rt 2. what is the length of the hypotenuse of the triangle ?
Options: ['a. 5', 'b. 6', 'c. 7', 'd. 8.485', 'e. 8']
Output: d
Problem: what is the sum of all possible solutions to | x - 3 | ^ 2 + | x - 3 | = 12 ?
Options: a. 5, b. 6, c. 7, d. 8, e. 9
Output: a
Problem: a certain protective additive increases from 50 days to 60 days the time between required maintenance checks on an industrial vehicle. by what percent is the time between maintenance checks increased by using the additive ?
Options: a. 25 %, b. 33 1 / 3 %, c. 50 %, d. 66 2 / 3 %, e. 20 %
Output: e
Problem: given that 268 * 74 = 19832, find the values of 2.68 * 0.74.
Options: a. 1.9328, b. 1.9832, c. 1.9823, d. 1.9382, e. none of them
Output: b
Problem: the probability of two events a and b are 0.25 and 0.40 respectively. the probability that both a and b occur is 0.15. the probability that neither a nor b occur is _________
Options: a. 0.45, b. 0.4, c. 0.5, d. 0.05, e. 0.6
Output: c
Problem: a pump can fill a tank with a water in 2 hours. because of a leak, it took 3 and 1 / 3 hours to fill the tank. the leak can drain all the water of the full tank in how many hours ?
Options: a. 5 hrs, b. 7 hrs, c. 12 hrs, d. 14 hrs, e. 16 hrs
Output: a
Problem: if henry were to add 9 gallons of water to a tank that is already 3 / 4 full of water, the tank would be 7 / 8 full. how many gallons of water would the tank hold if it were full ?
Options: a. 25, b. 40, c. 64, d. 72, e. 96
Output: d
Problem: bruce and anne can clean their house in 4 hours working together at their respective constant rates. if anne ’ s speed were doubled, they could clean their house in 3 hours working at their respective rates. how many w hours does it currently take anne to clean the house on her own ?
Options: a. 6, b. 7, c. 8, d. 12, e. 14
Output: d
Problem: the price of an item is discounted 10 percent on day 1 of a sale. on day 2, the item is discounted another 10 percent, and on day 3, it is discounted an additional 30 percent. the price of the item on day 3 is what percentage of the sale price on day 1 ?
Options: a. 28 %, b. 63 %, c. 64.8 %, d. 70 %, e. 72 %
Output: b
Problem: the price of a book is increased from $ 300 to $ 330. what is the % of increase in its price ?
Options: a. 10 %, b. 20 %, c. 30 %, d. 35 %, e. 45 %
Output: a
Problem: a sum of 14,800 amounts to 19,800 in 3 years at the rate of simple interest. what is the rate of interest ?
Options: a. 12 %, b. 11 %, c. 16 %, d. 15 %, e. 18 %
Output: b
Problem: a train travels at the rate of 10 miles / hr for the first hour of a trip, at 20 miles / hr for the second hour, at 30 miles / hr for the third hour and so on. how many hours will it take the train to complete a 360 - mile journey ? assume that the train makes no intermediate stops.
Options: a. 8, b. 8.5, c. 9, d. 9.5, e. 10
Output: a
Problem: in the figure given below, abc and cde are two identical semi - circles of radius 2 units. b and d are the mid points of the arc abc and cde respectively. what is the area of the shaded region ?
Options: ['a. 4 π - 1', 'b. 3 π - 1', 'c. 2 π - 4', 'd. ½ ( 3 π - 1 )', 'e. 2 π - 2']
Output: c
Problem: from the sale of sleeping bags, a retailer made a gross profit of 16 % of the wholesale cost. if each sleeping bag was sold for $ 28, what was the wholesale cost per bag ?
Options: a. 3.0, b. 3.36, c. 24.13, d. 25.0, e. 31.36
Output: c
Problem: a number is doubled and 5 is added. if the resultant is trebled, it becomes 129. what is that number ?
Options: a. 12, b. 29, c. 27, d. 19, e. 99
Output: d
Problem: the average temperature for tuesday, wednesday and thursday was 42 ° c. the average temperature for wednesday, thursday and friday was 44 ° c. if the temperature on friday be 43 ° c, what was the temperature on tuesday ?
Options: a. 39 ° c, b. 44 ° c, c. 37 ° c, d. 42 ° c, e. none of these
Output: c
Problem: 72519 x 9999 = ?
Options: a. 725117481, b. 674217481, c. 685126481, d. 696217481, e. none of them
Output: a
Problem: on a certain date, pat invested $ 5,000 at x percent annual interest, compounded annually. if the total value of the investment plus interest at the end of 10 years will be $ 20,000, in how many years total will the total value of the investment plus interest increase to $ 40,000 ?
Options: a. 15, b. 16, c. 18, d. 20, e. 24
Output: a
Problem: if a, b, and c are positive real numbers such that a ( b + c. = 152, b ( c + a. = 162, and c ( a + b. = 170, then abc is
Options: a. a. 672, b. b. 688, c. c. 704, d. d. 720, e. e. 750
Output: d
Problem: s is a set of 50 consecutive multiples of 2. if the smallest number in s is 56, then the greatest number in s is
Options: a. 198, b. 154, c. 199, d. 102, e. 105
Output: b
Problem: the total number of digit used in numbering the pages of a book having 366 pages, is :
Options: a. 732, b. 990, c. 1098, d. 1305, e. none of these
Output: b
Problem: 5.511 / 10.02 =
Options: a. 0.35, b. 0.55, c. 0.3509, d. 0.351, e. 0.3527
Output: b
Problem: running at the same constant rate, 6 identical machines can produce a total of 240 bottles per minute. at this rate, how many bottles could 10 such machines produce in 4 minutes ?
Options: a. 648, b. 1,800, c. 1,600, d. 10,800, e. 64,800
Output: c
Problem: there are 5 boxes in a cargo. the weight of the 1 st box is 200 kg, the weight of the 2 nd box is 20 % higher than the third box, whose weight is 25 % higher than the 1 st box weight. the 4 th box which weighs 350 kg is 30 % lighter than the 5 th box. find the difference in average weight of the 4 heaviest boxes and the 4 lightest boxes.
Options: a. 22, b. 75, c. 25, d. 70, e. 11
Output: b
Problem: veena ranks 73 rd from the top in a class of 198. what is her rank from the bottom if 22 students have failed the examination ?
Options: a. 88, b. 104, c. 110, d. 90, e. 93
Output: b
Problem: if each side of a square is increased by 20 %, find the percentage change in its area ?
Options: a. 40 %, b. 42 %, c. 46 %, d. 44 %, e. 38 %
Output: d
Problem: by selling 20 pencils for a rupee a man loses 30 %. how many for a rupee should he sell in order to gain 30 % ?
Options: a. 8.56, b. 10.75, c. 14.5, d. 16.5, e. 11.4
Output: b
Problem: how many positive integers less than 100 are neither multiples of 2 or 3 ?
Options: a. 30, b. 31, c. 32, d. 33, e. 34
Output: d
Problem: an article is bought for rs. 675 and sold for rs. 775, find the gain percent ?
Options: a. 73 %, b. 14.8 %, c. 33 1 / 3 %, d. 93 1 / 3 %, e. 33 1 / 3 %
Output: b
Problem: a man buys 60 pens at marked price of 46 pens from a whole seller. if he sells these pens giving a discount of 1 %, what is the profit percent ?
Options: a. 7.6 %, b. 7.7 %, c. 29.13 %, d. 33.6 %, e. 37.82 %
Output: c
Problem: a sells a bicycle to b and makes a profit of 25 %. b sells the same bicycle to c at a profit of 25 %. if the final s. p. of the bicycle was rs. 225, find out the cost price of the bicycle for a.
Options: a. 237, b. 126, c. 971, d. 611, e. 144
Output: e
Problem: what is the area of a regular hexagon with sides 1 in. long ?
Options: a. 1.59 square inch, b. 2.59 square inch, c. 3.59 square inch, d. 4.59 square inch, e. 2.69 square inch
Output: b
Problem: ratio between rahul and deepak is 4: 2, after 10 years rahul age will be 26 years. what is deepak present age
Options: a. 14, b. 15, c. 12, d. 22, e. 8
Output: e
Problem: two trains running in opposite directions cross a man standing on the platform in 37 seconds and 27 seconds respectively and they cross each other in 29 seconds. the ratio of their speeds is :
Options: a. 3: 1, b. 3: 2, c. 3: 8, d. 3: 25, e. 1: 4
Output: e
Problem: what is the rate percent when the simple interest on rs. 800 amount to rs. 160 in 5 years ?
Options: a. 5 %, b. 7 %, c. 9 %, d. 2 %, e. 4 %
Output: e
Problem: if 2 + 2 / x = 3 - 3 / x, then x =
Options: a. - 5, b. 2 / 3, c. 1, d. 3 / 2, e. 5
Output: e
Problem: how many factors of 2475 are odd numbers greater than 1 ?
Options: a. 3, b. 4, c. 17, d. 6, e. 7
Output: c
Problem: harold works at a resort from the beginning of march to the end of september. during the month of august this past year, he made 2 times the average ( arithmetic mean ) of his monthly totals in tips for the other months. his total tips for august were what fraction of his total tips for all of the months he worked ?
Options: a. 1 / 3, b. 2 / 5, c. 1 / 4, d. 1 / 2, e. 4 / 7
Output: c
Problem: a plant manager must assign 12 new workers to one of five shifts. she needs a first, second, and third shift, and two alternate shifts. each of the shifts will receive 3 new workers. how many different ways can she assign the new workers ?
Options: a. 2430, b. 2640, c. 3300, d. 4860, e. 5400
Output: b
Problem: a and b invests rs. 5000 and rs. 6000 in a business. after 6 months, a withdraws two - fifth of his capital and 2 months later, b withdraws one - third of his capital. in what ratio should they share the profits at the end of the year ?
Options: a. 3: 5, b. 7: 8, c. 5: 6, d. 3: 4, e. 7: 9
Output: d
Problem: in a maths test, students were asked to find 5 / 16 of a certain number. one of the students by mistake found 5 / 6 th of that number and his answer was 150 more than the correct answer. find the number.
Options: a. 125, b. 288, c. 384, d. 400, e. 500
Output: b
Problem: a, b and c enter into a partnership by investing $ 7000, $ 11000 and $ 18000 respectively. at the end of 8 months, b receives $ 880 as his share. find the share of a.
Options: a. $ 320, b. $ 440, c. $ 560, d. $ 670, e. $ 780
Output: c
Problem: bill downloads the movierevenge of the avengersto his computer in 2.5 hours, using a download manager that downloads from 3 sources marked a, b and c. each source provides download at a constant rate, but the rates of different sources are not necessarily identical. if the movie was downloaded from sources a and c alone, it would take 4 hours to complete the download. the next day, source b is available, but the other sources are inactive. how long will it take to download the trailer of the movie, a file that is 10 times smaller, from source b alone ?
Options: a. 40 minutes, b. 15 minutes, c. 12 minutes, d. 10 minutes, e. 3 minutes
Output: a
Problem: a bowl of fruit contains 14 apples and 21 oranges. how many oranges must be removed so that 70 % of the pieces of fruit in the bowl will be apples ?
Options: a. 3, b. 15, c. 14, d. 17, e. 20
Output: b
Problem: the present worth of rs. 2310 due 2 years hence, the rate of interest being 15 % per annum, is :
Options: a. 1689, b. 1680, c. 1682, d. 1681, e. 1686
Output: b