niryuu/sni-each-converted huggingface dataset:
Problem: reeya obtained 55, 67, 76, 82 and 85 out of 100 in different subjects, what will be the average
Options: a. 70, b. 75, c. 73, d. 85, e. 90
Output: c
Problem: there are two positive numbers in the ratio 2: 7. if the larger number exceeds the smaller by 30, then find the larger number ?
Options: a. 42, b. 38, c. 44, d. 36, e. 46
Output: a
Problem: one night 17 percent of the female officers on a police force were on duty. if 204 police officers were on duty that night and half of these were female officers, how many female officers were on the police force ?
Options: a. 420, b. 480, c. 540, d. 600, e. 660
Output: d
Problem: the contents of a certain box consist of 20 apples and 30 oranges. how many oranges must be added to the box so that exactly 20 % of the pieces of fruit in the box will be apples ?
Options: a. 50, b. 55, c. 75, d. 85, e. 100
Output: a
Problem: the workforce of company x is 60 % female. the company hired 24 additional male workers, and as a result, the percent of female workers dropped to 55 %. how many employees did the company have after hiring the additional male workers ?
Options: a. 160, b. 220, c. 288, d. 360, e. 420
Output: c
Problem: whats the reminder when 58, 458,965, 231,457, 895,684, 525,465, 985,445 is divided by 16
Options: a. 5, b. 7., c. 2., d. 3, e. 9
Output: a
Problem: the ratio of the volumes of two cubes is 1000: 1331. what is the ratio of their total surface areas ?
Options: a. 100: 121, b. 100: 127, c. 81: 191, d. 81: 161, e. 100: 182
Output: a
Problem: what is the smallest positive integer x such that 720 - x is the cube of a positive integer
Options: a. 5, b. 7, c. 47, d. 9, e. 12
Output: d
Problem: 1370, x, 1070, - 180, - 6430
Options: a. 1320, b. 6530, c. 6630, d. 6730, e. 6830
Output: a
Problem: if 75 percent of a class answered the first question on a certain test correctly, 45 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percent answered both correctly ?
Options: a. 10 %, b. ( 8 ) 40 %, c. 30 %, d. 50 %, e. 65 %
Output: b
Problem: the perimeter of a square is equal to the perimeter of a rectangle of length 17 cm and breadth 14 cm. find the circumference of a semicircle whose diameter is equal to the side of the square. ( round off your answer to two decimal places )
Options: a. 23.57, b. 23.54, c. 23.5, d. 24.35, e. 24.51
Output: d
Problem: ? % of 360 = 180
Options: a. 277, b. 36, c. 50, d. 72, e. none of these
Output: c
Problem: the average of runs of a cricket player of 10 innings was 33. how many runs must he make in his next innings so as to increase his average of runs by 4 ?
Options: a. 77, b. 79, c. 85, d. 87, e. 89
Output: a
Problem: if y exceeds x by 25 %, then x is less than y by ?
Options: a. 28 %, b. 21 %, c. 20 %, d. 30 %, e. 29 %
Output: c
Problem: the average score of a cricketer in 2 matches is 60 and in other 3 matches is 50. then find the average score in all the 5 matches ?
Options: a. 54, b. 27, c. 30, d. 35, e. 42
Output: a
Problem: the largest three digit number which is a perfect cube, is :
Options: a. 125, b. 999, c. 343, d. 512, e. 729
Output: e
Problem: a 160 meter long train crosses a man standing on the platform in 18 sec. what is the speed of the train ?
Options: a. 96 kmph, b. 94 kmph, c. 32 kmph, d. 56 kmph, e. 76 kmph
Output: c
Problem: albert invested rs. 8000 in a scheme for 2 years at compound interest rate 5 % p. a. how much amount will albert get on maturity of the fixed deposit ?
Options: a. 8840, b. 2776, c. 2998, d. 2662, e. 8820
Output: e
Problem: a person buys an article at $ 600. at what price should he sell the article so as to make a profit of 8 % ?
Options: a. 670, b. 689, c. 648, d. 740, e. 889
Output: c
Problem: what is the remainder when ( 63 ) ( 65 ) is divided by 8 ?
Options: a. 1, b. 2, c. 4, d. 5, e. 7
Output: e
Problem: if shares of two persons in profits are rs. 1600 and rs. 1200 then ratio of their capitals is
Options: a. 3: 4, b. 2: 3, c. 4: 3, d. 1: 3, e. 1: 2
Output: c
Problem: irin, ingrid and nell bake chocolate chip cookies in the ratio of 9.18: 5.17: 2.05. if altogether they baked a batch of 148 cookies, what percent of the cookies did ingrid bake ?
Options: a. 0.125 %, b. 1.25 %, c. 31.7 %, d. 125 %, e. 0.152 %
Output: c
Problem: two integers are in the ratio of 1 to 4. if 6 is added to the smaller number, the ratio becomes 1 to 3. find the larger integer.
Options: a. 4, b. 24, c. 30, d. 72, e. 80
Output: d
Problem: a, b and c are partners in a business. their capitals are respectively, rs. 5000, rs. 6000 and rs. 4000. a gets 30 % of the total profit for managing the business. the remaining profit is divided among 3 in the ratio of their capitals. in the end of the year, the profit of a is rs. 200 more than the sum of the profits of b and c. find the total profit ?
Options: a. 3089, b. 3098, c. 3057, d. 3000, e. 3012
Output: d
Problem: $ 100 is divided amongst a, b and c so that a may get 1 / 4 as much as b and c together, b may get 3 / 5 as much as a and c together, then the share of a is
Options: a. $ 15, b. $ 20, c. $ 25, d. $ 18, e. $ 30
Output: b
Problem: an urn contains 5 red, 6 blue and 8 green balls. 4 balls are randomly selected from the urn, find the probability that the drawn ball are 1 blue and 3 red ?
Options: a. 1 / 969, b. 2 / 969, c. 4 / 969, d. 5 / 323, e. 21 / 789
Output: d
Problem: how many positive even integers less than 100 contain digits 5 or 9 ?
Options: a. 16, b. 10, c. 18, d. 19, e. 20
Output: b
Problem: farm tax is levied on the 45 % of the cultivated land. the tax department collected total $ 3840 through the farm tax from the village of mr. willam. mr. willam paid only $ 480 as farm tax. the percentage of total land of mr. willam over the total taxable land of the village is :
Options: a. 15 %, b. 25 %, c. 15.125 %, d. 27.78 %, e. none
Output: d
Problem: 30 is to be divided into two parts such that the sum of 10 times the first and 22 times the second is 780. the bigger part is :
Options: a. 33, b. 34, c. 26, d. 10, e. 19
Output: d
Problem: the value of a machine depreciates at 20 % per annum. if its present value is rs. 1, 50,000, at what price should it be sold after two years such that a profit of rs. 30,000 is made ?
Options: a. 328897, b. 120000, c. 877888, d. 277768, e. 126000
Output: e
Problem: johnson completes a piece of work in 10 days, vincent completes the same work in 40 days. if both of them work together, then the number of days required to complete the work is
Options: a. 7 days, b. 8 days, c. 9 days, d. 10 days, e. 12 days
Output: b
Problem: in triangle pqr, the angle q = 90 degree, pq = 4 cm, qr = 8 cm. x is a variable point on pq. the line through x parallel to qr, intersects pr at y and the line through y, parallel to pq, intersects qr at z. find the least possible length of xz
Options: a. 1.2 cm, b. 2.4 cm, c. 4.8 cm, d. 2.16 cm, e. 3.2 cm
Output: e
Problem: a local elementary school has 1049 students and 9 teachers, how many students would have to be added to the school to make sure each teacher has the same amount of students in their classroom ?
Options: a. 4, b. 6, c. 5, d. 1, e. 2
Output: a
Problem: the average marks of 30 students in a class is 100. but a student mark is wrongly noted as 70 instead of 10 then find the correct average marks ?
Options: a. a. 78, b. b. 82, c. c. 98, d. d. 91, e. e. 85
Output: c
Problem: if a and b are positive real numbers, and a ^ 3 + b ^ 3 = 25, then the greatest possible value of a is between :
Options: a. 0 and 3, b. 3 and 4, c. 4 and 5, d. 5 and 7, e. 7 and 9
Output: a
Problem: a 440 - liter solution of kola is made from 88 % water, 8 % 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. 4.52 %., b. 7.5 %., c. 9.2 %., d. 10.5 %., e. 11 %.
Output: a
Problem: a wire in the form of a circle of radius 3.5 m is bent in the form of a rectangule, whose length and breadth are in the ratio of 6: 5. what is the area of the rectangle ?
Options: ['a. 65 cm 2', 'b. 30 cm 2', 'c. 76 cm 2', 'd. 68 cm 2', 'e. 46 cm 2']
Output: b
Problem: sandy gets 3 marks for each correct sum and loses 2 marks for each incorrect sum. sandy attempts 30 sums and obtains 50 marks. how many sums did sandy get correct ?
Options: a. 20, b. 22, c. 24, d. 26, e. 28
Output: b
Problem: if a is a positive integer, and if the units digit of a ^ 2 is 9 and the units digit of ( a + 1 ) ^ 2 is 6, what is the units digit of ( a + 2 ) ^ 2 ?
Options: a. 1, b. 3, c. 5, d. 6, e. 8
Output: c
Problem: a person borrows 20000 for 6 years at 8 % p. a. simple interest. he immediately lends it to another person at 9 % p. a. for 6 years. find his gain in the transaction per year.
Options: a. 200, b. 250, c. 210, d. 190, e. 180
Output: a
Problem: a solid yellow stripe is to be painted in the middle of a certain highway. if 1 gallon of paint covers an area of w square feet of highway, how many gallons of paint will be needed to paint a stripe of t inches wide on a stretch of highway m miles long ? ( 1 mile = 5,280 feet and 1 foot = 12 inches )
Options: ['a. ( 5,280 mt ) / 12 w', 'b. ( 5,280 pt ) / 12 m', 'c. ( 5,280 pmt ) / 12', 'd. ( 5,280 ) ( 12 m ) / pt', 'e. ( 5,280 ) ( 12 p ) / mt']
Output: a
Problem: what is the units digit of 23 ^ 2 * 17 ^ 2 * 39 ^ 2 ?
Options: a. 1, b. 3, c. 5, d. 7, e. 9
Output: a
Problem: if the probability of rain on any given day in chicago during the summer is 50 %, independent of what happens on any other day, what is the probability of having exactly 3 rainy days from july 4 through july 8, inclusive ?
Options: a. 1 / 32, b. 2 / 25, c. 5 / 16, d. 8 / 25, e. 3 / 4
Output: c
Problem: if m is a positive integer and m ^ 2 is divisible by 24, then the largest positive integer that must divide m is ?
Options: a. 3, b. 6, c. 8, d. 12, e. 16
Output: c
Problem: a flagstaff 17.5 m high casts a shadow of length 40.25 m. the height of the building, which casts a shadow of length 28.75 m under similar conditions will be ?
Options: a. 10 m, b. 12.5 m, c. 12 m, d. 13 m, e. 14 m
Output: b
Problem: average monthly income of a family of 4 earning members was rs. 840. one of the earning members died and therefore, the average income came down to rs 650. the income of the deceased was ?
Options: a. rs. 692.80, b. rs. 820, c. rs. 990, d. rs. 1410, e. none
Output: d
Problem: x and y are two towns. ganesh covers the distance from x to y at an average speed of 43 km / hr. however, he covers the distance from y to x at an average speed of 34 km / hr. his average speed during the whole journey in km / hr. is :
Options: a. 34, b. 43, c. 40, d. 38, e. 29
Output: d
Problem: what is the measure of the angle q made by the diagonals of the any adjacent sides of a cube.
Options: a. 30, b. 45, c. 60, d. 75, e. 90
Output: c
Problem: visitors to show were charged rs. 15 each on the first day. rs. 7.50 on the second day, rs. 2.50 on the third day and total attendance on the 3 days were in ratio 2: 5: 13 respectively. the average charge per person for the whole show is ?
Options: a. 1, b. 4, c. 5, d. 6, e. 8
Output: c
Problem: hillary and eddy are climbing to the summit of mt. everest from a base camp 4,900 ft from the summit. when they depart for the summit at 06: 00, hillary climbs at a rate of 800 ft / hr with eddy lagging behind at a slower rate of 500 ft / hr. if hillary stops 900 ft short of the summit and then descends at a rate of 1,000 ft / hr, at what time do hillary and eddy pass each other on her return trip ?
Options: a. 10.0, b. 11.0, c. 13.0, d. 12.0, e. 14.0
Output: d
Problem: a dishonest person wants to make a profit on the selling of milk. he would like to mix water ( costing nothing ) with milk costing 33 $ per litre so as to make a profit of 70 % on cost when he sells the resulting milk and water mixture for 36 $. in what ratio should he mix the water and milk ?
Options: a. 1: 120, b. 67: 120, c. 67: 8, d. 8: 120, e. 1: 2
Output: b
Problem: the price of a book is increased from $ 300 to $ 390. what is the % of increase in its price ?
Options: a. 10 %, b. 20 %, c. 30 %, d. 35 %, e. 45 %
Output: c
Problem: a, b and c, each working alone can complete a job in 6, 8 and 12 days respectively. if all three of them work together to complete a job and earn $ 1170, what will be b ' s share of the earnings ?
Options: a. $ 390, b. $ 520, c. $ 1080, d. $ 1170, e. $ 630
Output: a
Problem: 12 spheres of the same size are made from melting a solid cylinder of 8 cm diameter and 27 cm height. what is the diameter of each sphere ?
Options: a. 2 cm, b. 4 cm, c. 6 cm, d. 8 cm, e. 10 cm
Output: c
Problem: what is the units digit of 32 ! + 50 ! + 4 ! + 4 ! ?
Options: a. 0, b. 2, c. 4, d. 6, e. 8
Output: e
Problem: if jack walked 8 miles in 1 hour and 15 minutes, what was his rate of walking in miles per hour ?
Options: a. 4, b. 4.5, c. 6, d. 6.4, e. 15
Output: d
Problem: a particular library has 75 books in a special collection, all of which were in the library at the beginning of the month. these book are occasionally loaned out through an inter - library program. if, by the end of the month, 80 percent of books that were loaned out are returned and there are 67 books in the special collection at that time, how many books of the special collection were loaned out during that month ?
Options: a. 20, b. 30, c. 35, d. 40, e. 55
Output: d
Problem: if a farmer wants to plough a farm field on time, he must plough 120 hectares a day. for technical reasons he ploughed only 85 hectares a day, hence he had to plough 2 more days than he planned and he still has 40 hectares left. what is the area of the farm field and how many days the farmer planned to work initially ?
Options: a. 600, b. 490, c. 720, d. 435, e. 679
Output: c
Problem: for each color copy, print shop x charges $ 1.20 and print shop y charges $ 1.70. how much greater is the charge for 40 color copies at print shop y than at print shop x ?
Options: a. $ 14, b. $ 16, c. $ 18, d. $ 20, e. $ 22
Output: d
Problem: in a school of 300 boys, 44 % of muslims, 28 % hindus, 10 % sikhs and the remaining of other communities. how many belonged to the other communities ?
Options: a. 54, b. 63, c. 70, d. 42, e. 31
Output: a
Problem: a number x is 12 times another number y. the percentage that y is less than x is
Options: a. 91.6 %, b. 87.5 %, c. 80 %, d. 11 %, e. 1 %
Output: a
Problem: a train 90 m long is running with a speed of 60 km / hr. in what time will it pass a man who is running at 6 km / hr in the direction opposite to that in which the train is going ?
Options: a. 7, b. 6, c. 8, d. 5, e. 4
Output: d
Problem: the average age of a family of 5 members is 20 years. if the age of the youngest member be 10 years then what was the average age of the family at the time of the birth of the youngest member ?
Options: a. 13.5, b. 14, c. 15, d. 12.5, e. none
Output: d
Problem: on a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. on the next day, orangeade was made by mixing the same amount of orange juice with five times the amount of water. on both days, all the orangeade that was made was sold. if the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $ 0.80 per glass on the first day, what was the price per glass on the second day ?
Options: a. $ 015, b. $ 0.27, c. $ 0.30, d. $ 0.40, e. $ 0.45
Output: b
Problem: how many unique positive odd integers less than 90 are equal to the product of a positive multiple of 5 and an odd number ?
Options: a. 4, b. 9, c. 11, d. 12, e. 15
Output: b
Problem: if # is an operation which results in adding the digits of integer until a single digit is left, what is the probability that a number picked up in first 90 positive integers will have the result of # as an odd digit ? ( example 99 = 9 + 9 = 18 = 1 + 8 = 9, so # = 9 )
Options: a. 4 / 10, b. 4 / 9, c. 1 / 2, d. 6 / 10, e. 5 / 9
Output: e
Problem: operation # is defined as: a # b = 4 a ^ 2 + 4 b ^ 2 + 8 ab for all non - negative integers. what is the value of ( a + b. + 6, when a # b = 100 ?
Options: a. 5, b. 8, c. 10, d. 11, e. 17
Output: d
Problem: jerry and michelle play a card game. in the beginning of the game they have an equal number of cards. each player, at her turn, gives the other a third of her cards. michelle plays first, giving jerry a third of her cards. jerry plays next, and michelle follows. then the game ends. jerry ended up with 14 more cards than michelle. how many cards did each player have originally ?
Options: a. 27, b. 30, c. 34, d. 36, e. 38
Output: a
Problem: in a fuel station the service costs $ 1.75 per car, every liter of fuel costs 0.65 $. assuming that a company owns 12 cars and that every fuel tank contains 50 liters and they are all empty, how much money total will it cost to fuel all cars ?
Options: a. 320 $, b. 380 $, c. 420 $, d. 450 $, e. 411 $
Output: e
Problem: a circular swimming pool is surrounded by a concrete wall 4 feet wide. if the area of the wall is 11 / 25 of the area of the pool, then the radius of the pool in feet is ?
Options: ['a. 22', 'b. 20', 'c. 9', 'd. 8', 'e. 1']
Output: b
Problem: the population of a town increases 25 % and 40 % respectively in two consecutive years. after the growth the present population of the town is 1750. then what is the population of the town 2 years ago ?
Options: a. a. 750, b. b. 800, c. c. 850, d. d. 900, e. e. 950
Output: b
Problem: a truck travels 20 miles due north, 30 miles due east, and then 20 miles due north. how many miles is the truck from the starting point ?
Options: a. 20.3, b. 44.7, c. 50, d. 70, e. 120
Output: c
Problem: find the area of a parallelogram with base 22 cm and height 14 cm ?
Options: a. 298 cm 2, b. 384 cm 2, c. 308 cm 2, d. 286 cm 2, e. 276 cm 2
Output: c
Problem: the salary of a typist was at first raised by 10 % and then the same was reduced by 5 %. if he presently draws rs. 4180. what was his original salary ?
Options: a. 2277, b. 2999, c. 4000, d. 2651, e. 1971
Output: c
Problem: the sum of all the digits of the integers from 18 to 21 inclusive is 24 ( 1 + 8 + 1 + 9 + 2 + 0 + 2 + 1 = 24 ). what is the sum t of all the digits of the integers from 0 to 99 inclusive ?
Options: a. 450, b. 810, c. 900, d. 1000, e. 1100
Output: c
Problem: in δ pqs above, if pq = 2 and ps = 3, then
Options: a. 3 / 2, b. 12 / 5, c. 16 / 5, d. 15 / 4, e. 20 / 3
Output: a
Problem: the average salary of all the workers in a workshop is rs. 8000. the average salary of 7 technicians is rs. 11000 and the average salary of the rest is rs. 6000. the total number of workers in the workshop is
Options: a. 14, b. 21, c. 22, d. 23, e. none
Output: a
Problem: a man whose speed is 8 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 3 kmph, find his average speed for the total journey ?
Options: a. 1 kmph, b. 5 kmph, c. 6 kmph, d. 4 kmph, e. 6.8 kmph
Output: e
Problem: of 30 applicants for a job, 9 had at least 4 years ' experience, 18 had degrees, and 3 had less than 4 years ' experience and did not have a degree. how many of the applicants had at least 4 years ' experience and a degree ?
Options: a. 14, b. 10, c. 9, d. 7, e. 5
Output: b
Problem: a fruit seller had some apples. he sells 50 % apples and still he has 5000. originally he had how many apples ?
Options: a. 10000, b. 15200, c. 11005, d. 12540, e. 12450
Output: a
Problem: in a new housing development, trees are to be planted along the sidewalk of a certain street. each tree takes up one square foot of sidewalk space, and there are to be 9 feet between each tree. how many trees can be planted if the road is 151 feet long ?
Options: a. 8, b. 9, c. 10, d. 11, e. 16
Output: e
Problem: the slant height of a cone is 35 cm and radius of the base is 14 cm, find the curved surface of the cone.
Options: ['a. 4150', 'b. 1780', 'c. 1540', 'd. 1500', 'e. 6100']
Output: c
Problem: if a ã — b = 2 a - 3 b + ab, then 3 ã — 2 + 2 ã — 3 is equal to :
Options: a. 7, b. 8, c. 9, d. 25, e. 26
Output: a
Problem: a 20 % stock yielding 12 % is quoted at :
Options: a. rs. 83.33, b. rs. 167, c. rs. 112, d. rs. 120, e. rs. 140
Output: b
Problem: if the length of the sides of two cubes are in the ratio 6: 1, what is the ratio of their total surface area ?
Options: a. 6: 1, b. 12: 1, c. 24: 1, d. 36: 1, e. 72: 1
Output: d
Problem: two trains travel in opposite directions at 36 kmph and 45 kmph and a man sitting in slower train passes the faster train in 12 seconds. the length of the faster train is
Options: a. 80 m, b. 270 m, c. 120 m, d. 180 m, e. none
Output: b
Problem: the ratio of number of boys and girls in a school is 2: 5. if there are 350 students in the school, find the number of girls in the school ?
Options: a. 150, b. 250, c. 300, d. 370, e. 280
Output: b
Problem: if the perimeter of a rectangular garden is 1800 m, its length when its breadth is 400 m is ?
Options: a. 500, b. 600, c. 700, d. 800, e. 900
Output: a
Problem: solve for x and check: - 3 x = 12
Options: a. - 4, b. - 2, c. 1, d. 3, e. none of these
Output: a
Problem: sarah is driving to the airport. after driving at 15 miles per hour for one hour, she realizes that if she continues at that same average rate she will be an hour late for her flight. she then travels 60 miles per hour for the rest of the trip, and arrives 30 minutes before her flight departs. how many miles did she drive in all ?
Options: a. 45, b. 175, c. 210, d. 245, e. 280
Output: a
Problem: on dividing a number by 48, we get 29 as remainder. on dividing the same number by 8, what will be the remainder ?
Options: a. 2, b. 3, c. 4, d. 5, e. 6
Output: d
Problem: a shopkeeper sells 600 metres of cloth for rs. 18000 at a loss of rs. 5 per metre. find his cost price for one metre of cloth ?
Options: a. 12, b. 27, c. 29, d. 35, e. 21
Output: d
Problem: obra drove 140 π meters along a circular track. if the area enclosed by the circular track on which she drove is 57,600 π square meters, what percentage of the circular track did obra drive ?
Options: a. 6.67 %, b. 12.5 %, c. 18.75 %, d. 29.16 %, e. 33.3 %
Output: d
Problem: a certain number of men can finish a piece of work in 100 days. if there were 10 men less, it would take 10 days more for the work to be finished. how many men were there originally ?
Options: a. 120, b. 105, c. 115, d. 110, e. 140
Output: d
Problem: find the cost of fencing around a circular field of diameter 16 m at the rate of rs. 3 a meter ?
Options: a. 150.84, b. 160.6, c. 150.45, d. 160.99, e. 180.4
Output: a
Problem: a alone can do a piece of work in 6 days and b alone in 8 days. a and b undertook to do it for rs. 3200. with the help of c, they completed the work in 3 days. how much is to be paid to c
Options: a. rs. 300, b. rs. 400, c. rs. 500, d. rs. 600, e. none of these
Output: b
Problem: find the probability that a number selected from numbers 1, 2, 3,..., 30 is a prime number, when each of the given numbers is equally likely to be selected ?
Options: a. 10 / 30, b. 1 / 30, c. 8 / 30, d. 3 / 30, e. 7 / 30
Output: c
Problem: a worker can load one truck in 6 hours. a second worker can load the same truck in 4 hours. if both workers load one truck simultaneously while maintaining their constant rates, how long, in hours, will it take them to fill one truck ?
Options: a. 2.1, b. 2.4, c. 2.7, d. 3.0, e. 3.3
Output: b
Problem: 40 persons like apple. 7 like orange and mango dislike apple. 10 like mango and apple and dislike orange. 3 like all. how many people like apple ?
Options: a. 47, b. 46, c. 54, d. 58, e. 62
Output: b
Problem: in a group of cows and hens, the number of legs are 16 more than twice the number of heads. the number of cows is :
Options: a. 5, b. 6, c. 7, d. 8, e. 12
Output: d
Problem: the distance between 2 cities a and b is 1000 km. a train starts from a at 10 a. m. and travels towards b at 100 km / hr. another starts from b at 11 a. m. and travels towards a at 150 km / hr. at what time do they meet ?
Options: a. 11 am., b. 12 p. m., c. 3 pm., d. 2 p. m., e. 1 p. m.
Output: c
Problem: 3 candidates in an election and received 1256, 7636 and 11628 votes respectively. what % of the total votes did the winning candidate gotin that election ?
Options: a. 56.7 %, b. 55 %, c. 57 %, d. 60 %, e. 62 %
Output: a
Problem: the sum of two numbers is 16 and the sum of their squares is 113. find the numbers.
Options: a. 1 and 2, b. 4 and 5, c. 7 and 8, d. 2 and 3, e. 6 and 7
Output: c
Problem: the ratio of the radius of two circles is 1: 3, and then the ratio of their areas is ?
Options: a. 1: 5, b. 1: 6, c. 1: 9, d. 1: 3, e. 1: 2
Output: c
Problem: if the population of a certain country increases at the rate of one person every 45 seconds, by how many persons does the population increase in 1 hour ?
Options: a. 80, b. 120, c. 150, d. 180, e. 160
Output: a
Problem: a cube has one of its faces painted half red and half white. the other faces are completely painted white. what is the ratio between the red painted areas and the white painted areas of the cube ?
Options: a. 1: 6, b. 1: 11, c. 2: 5, d. 1: 8, e. 3: 11
Output: b
Problem: what is the units digit of ( 3 ^ 13 ) ( 4 ^ 13 ) ?
Options: a. 2, b. 4, c. 6, d. 7, e. 8
Output: a
Problem: bill made a profit of 10 % by selling a product. if he had purchased that product for 10 % less and sold it at a profit of 30 %, he would have received $ 63 more. what was his original selling price ?
Options: a. $ 850, b. $ 990, c. $ 1050, d. $ 1180, e. $ 1340
Output: b
Problem: one - third of 1206 is what percent of 162 ?
Options: a. 324.11, b. 300.12, c. 248.14, d. none of these, e. can not be determined
Output: c
Problem: 1399 x 1399
Options: a. 1957201, b. 1981709, c. 18362619, d. 2031719, e. none of these
Output: a
Problem: on a certain road 10 % of the motorists exceed the posted speed limit and receive speeding tickets, but 50 % of the motorists who exceed the posted speed limit do not receive speeding tickets. what percent of the motorists on the road exceed the posted speed limit ?
Options: a. 10.5 %, b. 12.5 %, c. 15 %, d. 22 %, e. 20 %
Output: e
Problem: in a group of 7 boys and 8 girls, 5 members are to be selected. in how many different ways can they be selected such that at least 3 boys should be there ?
Options: a. 1200, b. 1500, c. 1281, d. 1339, e. 1296
Output: c
Problem: the average marks of a class of 40 students is 44 and that of another class of 45 students is 70. find the average marks of all the students ?
Options: a. 52.6, b. 52.4, c. 52.1, d. 69.5, e. 52.9
Output: d
Problem: { - 10, - 6, - 5, - 4, - 2.5, - 1, 0, 2.5, 4, 6, 7, 10 } a number is to be selected at random from the set above. what is the probability that the number selected will be a solution of the equation ( x + 5 ) ( x + 10 ) ( 2 x - 5 ) = 0 ?
Options: a. 1 / 12, b. 1 / 6, c. 1 / 4, d. 1 / 3, e. 1 / 2
Output: c
Problem: a towel, when bleached, was found to have lost 20 % of its length and 10 % of its breadth. the percentage of decrease in area is
Options: a. 28 %, b. 30 %, c. 32 %, d. 38 %, e. 40 %
Output: a
Problem: 5 / 8 of 3 / 10 of a number is greater than 4 / 9 of 1 / 4 of the same number by 55. what is half of that number ?
Options: a. 310, b. 312, c. 320, d. 314, e. 360
Output: e
Problem: the average of 10 numbers is calculated as 18. it is discovered later on that while calculating the average, one number namely 36 was wrongly read as 26. the correct average is ?
Options: a. a. 16, b. b. 18, c. c. 19, d. d. 22, e. e. 24
Output: c
Problem: the speed of a boat in still water in 42 km / hr and the rate of current is 5 km / hr. the distance travelled downstream in 44 minutes is :
Options: a. 86.6 km, b. 46.6 km, c. 34.5 km, d. 35.6 km, e. 26.6 km
Output: c
Problem: what is the remainder when 1024 * 1047 * 1050 * 1053 is divided by 33 ?
Options: a. 3, b. 27, c. 30, d. 21, e. 18
Output: a
Problem: the average of first 20 natural numbers is ?
Options: a. 10.5, b. 11.4, c. 5.3, d. 5.9, e. 5.1
Output: a
Problem: by investing in 1623 % stock at 64, one earns rs. 1500. the investment made is
Options: a. rs. 9600, b. rs. 7500, c. rs. 5640, d. rs. 5760, e. rs. 6760
Output: d
Problem: the sum of the squares of the first 15 positive integers ( 1 ^ 2 + 2 ^ 2 + 3 ^ 2 +... + 15 ^ 2 ) is equal to 1240. what is the sum of the squares of the second 15 positive integers ( 16 ^ 2 + 17 ^ 2 + 18 ^ 2 +... + 30 ^ 2 ) ?
Options: a. 2480, b. 3490, c. 6785, d. 8215, e. 9255
Output: d
Problem: in a department store prize box, 40 % of the notes give the winner a dreamy vacation; the other notes are blank. what is the approximate probability that 3 out of 5 people that draw the notes one after the other, and immediately return their note into the box get a dreamy vacation ?
Options: a. 0.12, b. 0.23, c. 0.35, d. 0.45, e. 0.65
Output: b
Problem: if the volume of the cube is 729 cm 3, then the surface area of the cube will be
Options: ['a. 486 sq. cm', 'b. 456 sq. cm', 'c. 446 sq. cm', 'd. 476 sq. cm', 'e. none of these']
Output: a
Problem: what is the rate percent when the simple interest on rs. 1600 amount to rs. 200 in 4 years ?
Options: a. 4 %, b. 3.125 %, c. 5 %, d. 6 %, e. 7 %
Output: b
Problem: if the simple interest on a certain sum of money for 2 years is one – fifth of the sum, then the rate of interest per annum is
Options: a. 14 %, b. 7 %, c. 10 %, d. 15 %, e. 3 %
Output: c
Problem: a, b, c, d, e, f, g, h sitting in a row what is the probability that a, b, c sitting together ?
Options: a. 3 / 14, b. 5 / 28, c. 3 / 28, d. 1 / 7, e. 9 / 28
Output: c
Problem: there are 2 sections a and b in a class, consisting of 50 and 50 students respectively. if the average weight of section a is 60 kg and that of section b is 80 kg, find the average of the whole class ?
Options: a. 50.78 kg, b. 49.32 kg, c. 61.67 kg, d. 70 kg, e. 70.89 kg
Output: d
Problem: in a school with 632 students, the average age of the boys is 12 years and that of the girls is 11 years. if the average age of the school is 11 years 9 months, then the number of girls in the school is
Options: a. 150, b. 200, c. 250, d. 158, e. none
Output: d
Problem: two trains are moving in opposite directions at 60 km / hr and 90 km / hr. their lengths are 1.15 km and 0.6 km respectively. the time taken by the slower train to cross the faster train in seconds is ?
Options: a. 42, b. 9, c. 7, d. 67, e. 15
Output: a
Problem: sushil got thrice as many marks in english as in science. his total marks in english, science and maths are 152. if the ratio of his marks in english and maths is 1: 5, find his marks in science ?
Options: a. 8, b. 77, c. 66, d. 55, e. 31
Output: a
Problem: the salary of a person was reduced by 28 %. by what percent should his reduced salary be raised so as to bring it at par with his original salary ?
Options: a. 10 %, b. 15 %, c. 20 %, d. 25 %, e. 38.9 %
Output: e
Problem: the average height of 35 boys in a class was calculated as 183 cm. it has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm. find the actual average height of the boys in the class ( round off your answer to two decimal places ?
Options: a. 187.89 cm, b. 181.29 cm, c. 123.98 cm, d. 149.98 cm, e. 146.89 cm
Output: b
Problem: a is half good a work man as b and together they finish a job in 14 days. in how many days working alone b finish the job ?
Options: a. 23, b. 22, c. 21, d. 36, e. 48
Output: c
Problem: each of the products produced yesterday was checked by worker x or worker y. 0.5 % of the products checked by worker x are defective and 0.8 % of the products checked by worker y are defective. if the total defective rate of all the products checked by worker x and worker y is 0.55 %, what fraction of the products was checked by worker y ?
Options: a. 1 / 3, b. 1 / 4, c. 1 / 5, d. 1 / 6, e. 1 / 8
Output: d
Problem: a baseball card decreased in value 40 % in its first year and 10 % in its second year. what was the total percent decrease of the card ' s value over the two years ?
Options: a. 28 %, b. 30 %, c. 32 %, d. 46 %, e. 72 %
Output: d
Problem: from a group of 3 boys and 3 girls, 4 children are to be randomly selected. what is the probability that equal numbers of boys and girls will be selected ?
Options: a. 1 / 10, b. 4 / 9, c. 1 / 2, d. 3 / 5, e. 2 / 3
Output: d
Problem: 9 years ago i was 5 times as old as my eldest son. today i am 3 times his age. how old am i now ?
Options: a. 45, b. 54, c. 34, d. 58, e. 56
Output: b
Problem: find the ratio in which rice at rs. 7.20 a kg be mixed with rice at rs. 5.70 a kg to produce a mixture worth rs. 6.30 a kg
Options: a. 2: 0, b. 2: 3, c. 2: 1, d. 2: 2, e. 2: 8
Output: b
Problem: a bottle contains a certain solution. in the bottled solution, the ratio of water to soap is 3: 2, and the ratio of soap to salt is 4 times this ratio. the solution is poured into an open container, and after some time, the ratio of water to soap in the open container is quartered by water evaporation. at that time, what is the ratio of water to salt in the solution ?
Options: a. 12: 8, b. 8: 16, c. 9: 16, d. 8: 12, e. 16: 9
Output: c
Problem: initially, the men and women in a room were in the ratio of 4: 5. then, 2 men entered the room and 3 women left the room. then, the number of women doubled. now there are 14 men in the room. how many q women are currently in the room ?
Options: a. 12, b. 14, c. 15, d. 24, e. 36
Output: d
Problem: a caterer ordered 125 ice - cream bars and 125 sundaes. if the total price was $ 225.00 and the price of each ice - cream bar was $ 0.60, what was the price of each sundae ?
Options: a. $ 0.60, b. $ 0.80, c. $ 1.00, d. $ 1.20, e. $ 1.60
Output: d
Problem: a and b invests rs. 3000 and rs. 5500 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. 8: 8, b. 9: 8, c. 9: 7, d. 9: 5, e. 9: 11
Output: e
Problem: if a lends rs. 3150 to b at 8 % per annum and b lends the same sum to c at 12.5 % per annum then the gain of b in a period of 2 years is ?
Options: a. 280, b. 295, c. 283.5, d. 245, e. 200
Output: c
Problem: apple costs l rupees per kilogram for first 30 kgs and q rupees per kilogram for each additional kilogram. if the price of 33 kilograms is 663 and for 36 kgs of apples is 726 then the cost of first 10 kgs of apples is
Options: a. 100, b. 150, c. 200, d. 350, e. 450
Output: c
Problem: 10 + 19
Options: a. 29, b. 13, c. 28, d. 6, e. 2
Output: a
Problem: a and b started a business investing rs. 80,000 and rs 20,000 respectively. in what ratio the profit earned after 2 years be divided between a and b respectively ?
Options: a. 4: 1, b. 3: 2, c. 18: 20, d. 18: 4, e. 17: 4
Output: a
Problem: a rower can row 7 km / h in still water. when the river is running at 2 km / h, it takes the rower 1 hour to row to big rock and back. how many kilometers is it to big rock ?
Options: a. 2.92, b. 3.04, c. 3.12, d. 3.21, e. 3.35
Output: d
Problem: the average of first 35 prime numbers is ?
Options: a. 14.54, b. 15.6, c. 15.8, d. 14.7, e. 14.8
Output: a
Problem: a man, a woman and a boy can together complete a piece of work in 3 days. if a man alone can do it in 6 days and a women alone in 18 days, how long will a boy take to complete the work ?
Options: a. 6 days, b. 8 days, c. 9 days, d. 7 days, e. 5 days
Output: c
Problem: the least number which should be added to 1789 so that the sum is exactly divisible by 5, 6, 4 and 3 is ?
Options: a. 1, b. 11, c. 21, d. 31, e. 41
Output: b
Problem: i chose a number and divide it by 8. then i subtracted 160 from the result and got 12. what was the number i chose ?
Options: a. 1376, b. 1800, c. 1400, d. 2500, e. 100
Output: a
Problem: solve for x and check: - 12 x = 72
Options: a. - 4, b. - 2, c. - 6, d. - 12, e. none of these
Output: c
Problem: a certain number of horses and an equal number of men are going somewhere. half of the owners are on their horses ' back while the remaining ones are walking along leading their horses. if the number of legs walking on the ground is 40, how many horses are there ?
Options: a. 8, b. 12, c. 14, d. 16, e. 18
Output: a
Problem: workers at a campaign office have 3000 fliers to send out. if they send out 1 / 5 of them in the morning and 1 / 4 of the remaining ones out during the afternoon, how many are left for the next day ?
Options: a. 1800, b. 800, c. 1100, d. 1200, e. 1900
Output: a
Problem: find the average of first 20 multiples of 7 ?
Options: a. 73.5, b. 70.5, c. 63.5, d. 54.5, e. 40.5
Output: a
Problem: the diagonal of a rhombus are 70 m and 160 m. its area is :
Options: a. 1940, b. 4800, c. 5600, d. 5200, e. 5000
Output: c
Problem: 50 % of a number is more than 40 % of 120 by 180. find the number ?
Options: a. 456, b. 480, c. 420, d. 445, e. 320
Output: a
Problem: sheela deposits rs. 5000 in bank savings account. if this is 20 % of her monthly income. what is her monthly income in ?
Options: a. 22000, b. 20000, c. 25000, d. 22235, e. none of these
Output: c
Problem: there are 4 chess amateurs playing in villa ' s chess club tournament. if each chess amateur plays with exactly 4 other amateurs, what is the total number of chess games possible to be played in the tournament ?
Options: a. 10, b. 8, c. 40, d. 60, e. 120
Output: b
Problem: a 24 ' ' x 24 ' ' square metal plate needs to be fixed by a carpenter on to a wooden board. the carpenter uses nails all along the edges of the square such that there are 25 nails on each side of the square. each nail is at the same distance from the neighboring nails. how many nails does the carpenter use ?
Options: ['a. 94', 'b. 95', 'c. 96', 'd. 97', 'e. 98']
Output: c
Problem: the sum of the ages of 5 children born at the intervals of 3 year each is 50 year. what is the age of the eldest child ?
Options: a. 16 year, b. 8 year, c. 10 year, d. none of these, e. 9 year
Output: a
Problem: let the number which when multiplied by 15 is increased by 280.
Options: a. 14, b. 20, c. 26, d. 28, e. 30
Output: b
Problem: in a school with 5 classes, each class has 2 students less than the previous class. how many students are there in the largest class if the total number of students at school is 105 ?
Options: a. 24, b. 25, c. 26, d. 27, e. 28
Output: b
Problem: at 15: 00 there were 22 students in the computer lab. at 15: 03 and every three minutes after that, 3 students entered the lab. if at 15: 10 and every ten minutes after that 8 students left the lab, how many students were in the computer lab at 15: 44 ?
Options: a. 7, b. 14, c. 25, d. 27, e. 32
Output: e
Problem: 475.124 x 15.98 ÷ 8.001 + 33.33 = ?
Options: a. 983.578, b. 659.121, c. 781.189, d. 656.112, e. 456.512
Output: a
Problem: 20 men can cut 30 trees in 4 hours. if 4 men leave the job, how many trees will be cut in 6 hours ?
Options: a. 24, b. 36, c. 48, d. 22, e. 32
Output: b
Problem: 4 dices are thrown at the same time. what is the probability of getting only 2 dices showing the same face ?
Options: a. 4 / 9, b. 5 / 9, c. 11 / 18, d. 7 / 9, e. none of the above
Output: b
Problem: mr. loyd wants to fence his square shaped land of 60 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: a
Problem: the average of first six prime numbers greater than 20 is ?
Options: a. 10, b. 20, c. 30, d. 40, e. 34
Output: e
Problem: a boat having a length 7 m and breadth 3 m is floating on a lake. the boat sinks by 1 cm when a man gets on it. the mass of the man is :
Options: a. 100 kg, b. 120 kg, c. 89 kg, d. 80 kg, e. 210 kg
Output: e
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 50 overs to reach the target of 282 runs ?
Options: a. 6.25, b. 5.5, c. 7.4, d. 5, e. 6
Output: d
Problem: the toll t, in dollars, for a truck using a certain bridge is given by the formula t = 0.50 + 0.50 ( x − 2 ), where x is the number of axles on the truck. what is the toll for an 18 - wheel truck that has 2 wheels on its front axle and 4 wheels on each of its other axles ?
Options: a. $ 2.00, b. $ 3.00, c. $ 3.50, d. $ 4.00, e. $ 5.00
Output: a
Problem: if a: b: : 3: 7, then what is ( 5 a + 2 b.: ( a - 2 b. ?
Options: a. 57: 11, b. - 57: 11, c. 11: 10, d. - 29: 11, e. - 1: 10
Output: d
Problem: in a group of 100 people, 90 have an age of more 30 years, and the others have an age of less than 20 years. if a person is selected at random from this group, what is the probability the person ' s age is less than 20 ?
Options: a. 0.1, b. 0.55, c. 0.65, d. 0.75, e. 0.85
Output: a
Problem: an article is bought for rs. 1200 and sold for rs. 800, find the loss percent ?
Options: a. 16 %, b. 35 %, c. 33 %, d. 18 %, e. 12 %
Output: c
Problem: how much is 80 % of 45 is greater than 4 / 5 of 25 ?
Options: a. 15, b. 57, c. 16, d. 16, e. 73
Output: c
Problem: a small water pump would take 3 hours to fill an empty tank. a larger pump would take 3 / 4 hour to fill the same tank. how many hours would it take both pumps, working at their respective constant rates, to fill the empty tank if they began pumping at the same time ?
Options: a. 3 / 4, b. 3 / 5, c. 5 / 7, d. 1 / 2, e. 4 / 5
Output: b
Problem: if p ( a. = 5 / 7 and p ( b. = 2 / 5, find p ( a n b. if a and b are independent events.
Options: a. 7 / 25, b. 3 / 25, c. 8 / 25, d. 2 / 7, e. 3 / 17
Output: d
Problem: divide rs. 5500 among a, b and c so that a receives 1 / 3 as much as b and c together and b receives 1 / 5 as a and c together. a ' s share is ?
Options: a. 1227, b. 1268, c. 1375, d. 1200, e. 1210
Output: c
Problem: in digging a pond 20 m * 10 m * 5 m the volumes of the soil extracted will be ?
Options: a. 100 cu. m, b. 1000 cu. m, c. 10000 cu. m, d. 2000 cu. m, e. 4000 cu. m
Output: b
Problem: in traveling from a dormitory to a certain city, a student went 1 / 3 of the way by foot, 3 / 5 of the way by bus, and the remaining 2 kilometers by car. what is the distance, in kilometers, from the dormitory to the city ?
Options: a. 30, b. 45, c. 60, d. 90, e. 120
Output: a
Problem: a factory produces 6500 toys per week. if the workers at this factory work 5 days a week and if these workers make the same number of toys everyday, how many toys are produced each day ?
Options: a. 1375 toys, b. 2375 toys, c. 1300 toys, d. 1375 toys, e. 2375 toys
Output: c
Problem: a farmer spent $ 37 on feed for chickens and goats. he spent 40 % money on chicken feed, which he bought at a 20 % discount off the full price, and spent the rest on goat feed, which he bought at full price. if the farmer had paid full price for both the chicken feed and the goat feed, what amount would he have spent on the chicken feed and goat feed combined ?
Options: a. $ 37.80, b. $ 38.50, c. $ 39.20, d. $ 39.50, e. $ 40.70
Output: e
Problem: the charge for a single room at hotel p is 20 percent less than the charge for a single room at hotel r and 10 percent less than the charge for a single room at hotel g. the charge for a single room at hotel r is what percent greater than the charge for a single room at hotel g ?
Options: a. 15 %, b. 20 %, c. 12.5 %, d. 50 %, e. 150 %
Output: c
Problem: the ratio of the volumes of two cubes is 729: 125. what is the ratio of their total surface areas ?
Options: a. 81: 21, b. 81: 22, c. 81: 24, d. 81: 25, e. 81: 29
Output: d
Problem: how many multiples of 10 are there between 10 and 290 ?
Options: a. 8, b. 18, c. 27, d. 51, e. 60
Output: c
Problem: what is the remainder when 1041 * 1047 * 1050 * 1053 is divided by 33 ?
Options: a. 3, b. 27, c. 30, d. 21, e. 18
Output: d
Problem: if the average ( arithmetic mean ) of a and b is 110, and the average of b and c is 170, what is the value of a − c ?
Options: a. − 120, b. − 100, c. 100, d. 135, e. it can not be determined from the information given
Output: a
Problem: line m lies in the xy - plane. the y - intercept of line m is - 2, and line m passes through the midpoint of the line segment whose endpoints are ( 2, 8 ) and ( 144 ). what is the slope of line m ?
Options: a. - 2, b. - 1, c. 0, d. 1, e. 2
Output: d
Problem: the average weight of a, b and c is 60 kg. if the average weight of a and b be 70 kg and that of b and c be 50 kg, then the weight of b is :
Options: a. 50 kg, b. 60 kg, c. 55 kg, d. 57 kg, e. 62 kg
Output: b
Problem: length of a rectangular plot is 22 mtr more than its breadth. if the cost of fencin gthe plot at 26.50 per meter is rs. 5300, what is the length of the plot in mtr ?
Options: a. 51 m, b. 61 m, c. 71 m, d. 81 m, e. 91 m
Output: b
Problem: a reduction of 20 % in the price of oil enables a house wife to obtain 4 kgs more for rs. 600, what is the reduced price for kg ?
Options: a. 20, b. 40, c. 36, d. 30, e. 35
Output: d
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. 2500 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: c
Problem: jim drove 384 miles of a 1200 miles journey. how many more miles does he need to drive to finish his journey ?
Options: a. 113 miles, b. 432 miles, c. 456 miles, d. 816 miles, e. 767 miles
Output: d
Problem: find the product of the local value and absolute value of 4 in 564823
Options: a. 1600, b. 8000, c. 16000, d. 12000, e. 18000
Output: c
Problem: the banker â € ™ s gain on a sum due 3 years hence at 10 % per annum is rs. 60. the banker â € ™ s discount is
Options: a. rs. 960, b. rs. 840, c. rs. 1020, d. rs. 760, e. rs. 260
Output: e
Problem: robert ' s salary was decreased by 70 % and subsequently increased by 70 %. how much percentage does he lose ?
Options: a. 10 %, b. 20 %, c. 25 %, d. 30 %, e. 49 %
Output: e
Problem: a train covers a distance of 54 km in 15 min. if it takes 8 sec to pass a telegraph post, then the length of the train is ?
Options: a. 470, b. 480, c. 490, d. 500, e. 510
Output: b
Problem: the difference between the value of a number increased by 12.5 % and the value of the original number decreased by 25 % is 30. what is the original number e ?
Options: a. 60, b. 80, c. 40, d. 120, e. 160
Output: b
Problem: what is the remainder when you divide 2 ^ 200 - 3 by 7 ?
Options: a. 1, b. 2, c. 3, d. 4, e. 5
Output: a
Problem: the ratio of three numbers is 2: 3: 4 and their sum is 180. the second number of the three numbers is ?
Options: a. 24, b. 60, c. 27, d. 29, e. 30
Output: b
Problem: if ( log 5 5 ) ( log 4 9 ) ( log 3 2 ) is equal to
Options: a. 1, b. 3 / 2, c. 2, d. 5, e. 7
Output: a
Problem: the total marks obtained by a student in mathematics and physics is 32 and his score in chemistry is 20 marks more than that in physics. find the average marks scored in mathamatics and chemistry together.
Options: a. 40, b. 26, c. 27, d. 28, e. 22
Output: b
Problem: in the rectangular coordinate system, if the line x = 4 y + 5 passes through points ( m, n ) and ( m + 2, n + p ), what is the value of p ?
Options: a. 3, b. 2, c. 1 / 2, d. 1 / 3, e. 1 / 4
Output: c
Problem: the average weight of 4 students decreases by 8 kg when one of them weighing 96 kg is replaced by a new student. the weight of the student is
Options: a. 62 kg, b. 60 kg, c. 64 kg, d. 72 kg, e. none of these
Output: c
Problem: if 4 men working 10 hours a day earn rs. 800 per week, then 9 men working 6 hours a day will earn how much per week ?
Options: a. rs 840, b. rs 1320, c. rs 1080, d. rs 1680, e. none of these
Output: c
Problem: in a rectangular coordinate system, what is the area of a rhombus whose vertices have the coordinates ( 0, 4.5 ), ( 8, 0 ), ( 0, - 4.5 ), ( - 8, 0 ) ?
Options: a. 56, b. 72, c. 112, d. 116, e. 120
Output: b
Problem: a theater box office sold an average ( arithmetic mean ) of 63 tickets per staff member to a particular movie. among the daytime staff, the average number sold per member was 78, and among the evening staff, the average number sold was 60. if there are no other employees, what was the ratio of the number of daytime staff members to the number of evening staff members ?
Options: a. 2: 3, b. 1: 4, c. 1: 5, d. 6: 11, e. 4: 7
Output: c
Problem: pipe a fills a swimming pool in 4 hours. pipe b empties the pool in 6 hours. if pipe a was opened at 9: 00 am and pipe b at 10: 00 am, at what time will the pool be full ?
Options: a. 19: 00, b. 17: 00, c. 16: 00, d. 18: 00, e. 20: 00
Output: a
Problem: a train running at the speed of 100 km / hr crosses a pole in 9 sec. what is the length of the train ?
Options: a. 298 m, b. 250 m, c. 208 m, d. 988 m, e. 299 m
Output: b
Problem: an engineer designed a ball so that when it was dropped, it rose with each bounce exactly one - half as high as it had fallen. the engineer dropped the ball from a 16 - meter platform and caught it after it had traveled 45 meters. how many times did the ball bounce ?
Options: a. 5, b. 4, c. 7, d. 8, e. 9
Output: b