niryuu/sni-each-converted huggingface dataset:
Problem: micheal and adam can do together a piece of work in 20 days. after they have worked together for 15 days micheal stops and adam completes the remaining work in 10 days. in how many days micheal complete the work separately.
Options: a. 40 days, b. 100 days, c. 120 days, d. 110 days, e. 90 days
Output: a
Problem: pipe a can fill a tank in 6 hours. due to a leak at the bottom, it takes 10 hours for the pipe a to fill the tank. in what time can the leak alone empty the full tank ?
Options: a. 13, b. 17, c. 15, d. 19, e. 12
Output: c
Problem: rs. 1581 is divided among a, b and c in the ratio 10: 15: 6. what is the share of b ?
Options: a. 306, b. 765, c. 700, d. 510, e. 520
Output: a
Problem: employees of a certain company are each to receive a unique 10 - digit identification code consisting of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 such that no digit is used more than once in any given code. in valid codes, the second digit in the code is exactly twice the first digit. how many valid codes are there ?
Options: a. 145,660, b. 149,720, c. 155,420, d. 161,280, e. 167,480
Output: d
Problem: how many terminating zeroes w does 200 ! have ?
Options: a. 40, b. 48, c. 49, d. 55, e. 64
Output: c
Problem: two trains 500 m and 750 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks. the time which they take to cross each other is ?
Options: a. 10.6, b. 45, c. 10.4, d. 10.8, e. 10.1
Output: b
Problem: a train 110 m long is running with a speed of 36 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. 5, b. 6, c. 7, d. 9, e. 5
Output: d
Problem: if x + y = 3 and y / x = 2 then y = ?
Options: a. 0, b. 1 / 2, c. 1, d. 3 / 2, e. 2
Output: e
Problem: tough and tricky questions: remainders. 1 ^ 1 + 2 ^ 2 + 3 ^ 3 +... + 7 ^ 7 is divided by 7. what is the remainder ?
Options: a. 0, b. 1, c. 2, d. 3, e. 4
Output: e
Problem: a sells a bicycle to b and makes a profit of 50 %. 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. 120
Output: e
Problem: what is the units digit of ( 147 ^ 17 ) ^ 47 ?
Options: a. 1, b. 3, c. 5, d. 7, e. 9
Output: b
Problem: how many times digit 5 is used while writing numbers from 100 to 1000 ?
Options: a. 648, b. 300, c. 252, d. 225, e. 290
Output: e
Problem: one - third of rahul ' s savings in national savings certificate is equal to one - half of his savings in public provident fund. if he has rs. 1, 90,000 as total savings, how much has he saved in public provident fund ?
Options: a. 80000, b. 60000, c. 50000, d. 76000, e. 90000
Output: d
Problem: average marks of a, b, c is 48. when d joins average becomes 47. e has 3 more marks than d. average marks of b, c, d, e is 48. what is the marks of a ?
Options: a. 43, b. 44, c. 45, d. 46, e. 47
Output: a
Problem: a sum of money at simple interest amounts to rs. 720 after 2 years and to rs. 1020 after a further period of 5 years. the sum is :
Options: a. 400, b. 500, c. 600, d. 700, e. 800
Output: c
Problem: 3 candidates in an election and received 3136, 7636 and 11628 votes respectively. what % of the total votes did the winning candidate got in that election ?
Options: a. 45 %, b. 49 %, c. 52 %, d. 59 %, e. 61 %
Output: c
Problem: two pipes p and q can fill a cistern in 12 and 15 minutes respectively. both are opened together, but at the end of 2 minutes the first is turned off. how many more minutes will it take for the cistern to fill after the first pipe is turned off ?
Options: a. 8.5, b. 9.5, c. 10.5, d. 11.5, e. 12.5
Output: c
Problem: 864.942 - ? + 45.76 = 547.905
Options: a. a. 899.015, b. b. 752.804, c. c. 714.642, d. d. 362.797, e. of these
Output: d
Problem: the l. c. m. of 2 numbers is 66. the numbers are in the ratio 2: 3. find their sum ?
Options: a. 36, b. 40, c. 48, d. 32, e. 55
Output: e
Problem: a company conducted a survey about its two brands, a and b. x percent of respondents liked product a, ( x – 20 ) percent liked product b, 23 percent liked both products, and 23 percent liked neither product. what is the minimum number g of people surveyed by the company ?
Options: a. 46, b. g = 80, c. g = 90, d. g = 100, e. 200
Output: d
Problem: the product x of two prime numbers is between 17 and 55. if one of the prime numbers is greater than 2 but less than 6 and the other is greater than 11 but less than 25, then x =
Options: a. 18, b. 29, c. 37, d. 44, e. 65
Output: e
Problem: a train traveling at 72 kmph crosses a platform in 33 seconds and a man standing on the platform in 18 seconds. what is the length of the platform in meters ?
Options: a. 240 meters, b. 360 meters, c. 420 meters, d. 300 meters, e. can not be determined
Output: d
Problem: lagaan is levied on the 60 percent of the cultivated land. the revenue department collected total rs. 3, 84,000 through the lagaan from the village of mutter. mutter, a very rich farmer, paid only rs. 480 as lagaan. the percentage of total land of mutter over the total taxable land of the village is :
Options: a. 0.20833, b. 0.14544, c. 0.25632, d. 0.35466, e. 0.63435
Output: a
Problem: the weights of one liter vegetable ghee packet of two brands ‘ a ’ and ‘ b ’ are 800 gm and 850 gm respectively. if they are mixed in the ratio of 3: 2 by volumes to form a mixture of 3 liters, what is the weight ( in kg ) of the mixture ?
Options: a. 3.84, b. 1.75, c. 3.52, d. 2.46, e. none of these
Output: d
Problem: if 4 xz + yw = 10 and xw + yz = 20, what is the value of the expression ( 2 x + y ) ( 2 z + w ) ?
Options: a. 9., b. 12., c. 15., d. 50., e. 18.
Output: d
Problem: $ 9,000 is deposited in a savings account that pays 14 % annual interest compounded semiannually. to the nearest dollar, how much is in the account at the end of the year ?
Options: a. $ 11304.12, b. $ 12304.54, c. $ 11604.14, d. $ 10304.10, e. $ 9304.41
Output: d
Problem: a certain bacteria colony doubles in size every day for 25 days, at which point it reaches the limit of its habitat and can no longer grow. if two bacteria colonies start growing simultaneously, how many days will it take them to reach the habitat ’ s limit ?
Options: a. 6.33, b. 7.5, c. 10, d. 15, e. 24
Output: e
Problem: two kinds of vodka are mixed in the ratio 1: 2 and 2: 1 and they are sold fetching the profit 10 % and 10 % respectively. if the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4 / 3 and 5 / 3 times respectively, then the mixture will fetch the profit of
Options: a. 10 %, b. 20 %, c. 21 %, d. 23 %, e. can not be determined
Output: a
Problem: if daily wages of a man is 4 times to that of a woman, how many men should work for 25 days to earn rs. 14400 ? given that wages for 40 women for 30 days are rs. 21600.
Options: a. 12, b. 4, c. 6, d. 8, e. 20
Output: d
Problem: jerry went to a shop and bought things worth rs. 20, out of which 30 % went on sales tax on taxable purchases. if the tax rate was 6 %, then what was the cost of the tax free items ?
Options: a. 14, b. 14.7, c. 21.3, d. 21.5, e. 21.7
Output: b
Problem: 5005 - 5000 ÷ 10.00 = ?
Options: a. 0.5, b. 50, c. 5000, d. 4505, e. none
Output: d
Problem: machine a takes 50 hours to complete a certain job and starts that job at 6 am. after four hour of working alone, machine a is joined by machine b and together they complete the job at 1 pm. how long would it have taken machine b to complete the job if it had worked alone for the entire job ?
Options: a. 9, b. 88.88, c. 4.88, d. 2.88, e. 3.88
Output: e
Problem: a random 10 - letter code is to be formed using the letters a, b, c, d, e, f, g, h, i and i ( only the “ i ” will be used twice.. what is the probability that a code that has the two i ’ s adjacent to one another will be formed ?
Options: a. 1 / 10, b. 1 / 8, c. 1 / 5, d. 1 / 4, e. 1 / 2
Output: c
Problem: at the end of the day, february 14 th, a florist had 90 roses left in his shop, all of which were red, white or pink in color and either long or short - stemmed. a third of the roses were short - stemmed, 15 of which were white and 10 of which were pink. the percentage of pink roses that were short - stemmed equaled the percentage of red roses that were short - stemmed. if none of the long - stemmed roses were white, what percentage of the long - stemmed roses were red ?
Options: a. 20 %, b. 75 %, c. 50 %, d. 33.3 %, e. 80 %
Output: d
Problem: the average salary / head of allthe workers in a workshop is rs. 1200, if the average salary / head of 10 technician is rs. 1400 and the average salary / head of the rest is rs. 900, the total no. of workers in the work - shop is ?
Options: a. 18, b. 17, c. 15, d. 19, e. 21
Output: b
Problem: two cubes have their volumes are in the ratio 1: 27. find the ratio of their surface area ?
Options: ['a. 1: 2', 'b. 2: 3', 'c. 1: 9', 'd. 2: 7', 'e. 3: 11']
Output: c
Problem: if the integer n has exactly 4 positive divisors, including 1 and n, how many positive divisors does n ^ 3 have ?
Options: a. 16, b. 11, c. 10, d. 20, e. 9
Output: a
Problem: the number 181 can be written as sum of the squares of 2 different positive integers. what is the difference of these 2 different integers ?
Options: a. 3, b. 2, c. 1, d. 4, e. 5
Output: c
Problem: if you roll a fair - sided die twice, what is the probability of getting a double ( 5,5 ) ?
Options: a. 1 / 24, b. 1 / 36, c. 1 / 12, d. 1 / 18, e. 1 / 3 !
Output: e
Problem: a father and his son are waiting at a bus stop in the evening. there is a lamp post behind them. the lamp post, the father and his son stand on the same straight line. the father observes that the shadows of his head and his son ’ s head are incident at the same point on the ground. if the heights of the lamp post, the father and his son are 6 metres, 1.8 metres and 0.9 metres respectively, and the father is standing 2.1 metres away from the post, then how far ( in metres ) is the son standing from his father ?
Options: a. 0.9, b. 0.75, c. 0.6, d. 0.45, e. none of these
Output: d
Problem: a collection of books went on sale, and 2 / 3 of them were sold for $ 2.25 each. if none of the 40 remaining books were sold, what was the total amount received for the books that were sold ?
Options: a. $ 160, b. $ 150, c. $ 280, d. $ 200, e. $ 180
Output: e
Problem: a rectangular lawn of dimensions 80 m * 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. what is the cost of traveling the two roads at rs. 5 per sq m ?
Options: a. 6500, b. 2779, c. 2779, d. 3900, e. 2781
Output: a
Problem: at their respective rates, pump a, b, and c can fulfill an empty tank, or pump - out the full tank in 2, 3, and 6 hours. if a and b are used to pump - out water from the half - full tank, while c is used to fill water into the tank, in how many hours, the tank will be empty ?
Options: a. 2 / 3, b. 1, c. 3 / 4, d. 3 / 2, e. 2
Output: c
Problem: a boat can travel with a speed of 22 km / hr in still water. if the speed of the stream is 5 km / hr, find the time taken by the boat to go 108 km downstream
Options: a. 5 hours, b. 4 hours, c. 3 hours, d. 2 hours, e. none of these
Output: b
Problem: company c sells a line of 25 products with an average retail price of $ 1,200. if none of these products sells for less than $ 400, and exactly 10 of the products sell for less than $ 1,000, what is the greatest possible selling price of the most expensive product ?
Options: a. 12000, b. 13000, c. 14000, d. 15000, e. 16000
Output: a
Problem: a man purchased earphone on friday. but he forgot how much it cost. the data he have are mean expenditure of all 7 days is 500. expenditure on mon, tue, wed, thurs, sat, sun are 450600, 400500, 550300. on friday he purchased 3 things one earphone, one pen and one notebook. pen cost 30 and notebook cost 50. then what is cost of earphone ?
Options: a. 620, b. 530, c. 450, d. 470, e. 500
Output: a
Problem: what percent is 6 gm of 1 kg ?
Options: a. 1.5 %, b. 0.5 %, c. 0.6 %, d. 3.5 %, e. 4 %
Output: c
Problem: a train 300 m long is running with a speed of 68 kmph. in what time will it pass a man who is running at 8 kmph in the same direction in which the train is going ?
Options: a. 6 sec., b. 7 sec., c. 9 sec., d. 18 sec., e. none
Output: d
Problem: how many prime numbers are between 51 / 13 and 89 / 9 ?
Options: a. 0, b. 1, c. 2, d. 3, e. 4
Output: c
Problem: company c sells a line of 25 products with an average retail price of $ 1,400. if none of these products sells for less than $ 420, and exactly 10 of the products sell for less than $ 1,000, what is the greatest possible selling price of the most expensive product ?
Options: a. 16000, b. 11400, c. 13200, d. 15400, e. 16800
Output: e
Problem: a soccer team played 130 games and won 60 percent of them. how many games did it win ?
Options: a. 84, b. 94, c. 100, d. 125, e. 78
Output: e
Problem: what least no. must be subtracted from 5026 so that remaining no. is divisible by 5 ?
Options: a. 3, b. 4, c. 5, d. 6, e. 1
Output: e
Problem: a gambler has won 40 % of his 40 poker games for the week so far. if, all of a sudden, his luck changes and he begins winning 70 % of the time, how many more games must he play to end up winning 60 % of all his games for the week ?
Options: a. 50, b. 60, c. 70, d. 80, e. 90
Output: d
Problem: 50 % of a number is added to 200, the result is the same number. find the number ?
Options: a. 300, b. 288, c. 400, d. 129, e. 281
Output: c
Problem: there is a square with side ‘ a ’ and one octagon is inscribed in it. what will be perimeter of octagon.
Options: ['a. 8 a / 3', 'b. 7 a / 3', 'c. 5 a / 3', 'd. a / 3', 'e. 11 a / 3']
Output: a
Problem: when 2 / 9 of the votes on a certain resolution have been counted, 3 / 4 of those counted are in favor of the resolution. what fraction x of the remaining votes must be against the resolution so that the total count will result in a vote of 2 to 1 against the resolution ?
Options: a. 11 / 14, b. 13 / 18, c. 4 / 7, d. 3 / 7, e. 3 / 14
Output: a
Problem: the speed of the boat in still water in 12 kmph. it can travel downstream through 54 kms in 3 hrs. in what time would it cover the same distance upstream ?
Options: a. 8 hours, b. 6 hours, c. 4 hours, d. 5 hours, e. 9 hours
Output: e
Problem: if shares of two persons in profits are rs. 400 and rs. 600 then ratio of their capitals is
Options: a. 3: 4, b. 2: 3, c. 4: 3, d. 1: 3, e. 1: 2
Output: b
Problem: each light bulb at a hotel is either incandescent or fluorescent. at a certain moment, thirty percent of the incandescent bulbs are switched on, and eighty percent of the fluorescent bulbs are switched on. if 40 percent of all the bulbs are switched on at this moment, what percent of the bulbs that are switched on are incandescent ?
Options: a. 20 %, b. 40 %, c. 50 %, d. 60 %, e. 80 %
Output: d
Problem: a train 300 m long is running at a speed of 99 km / hr. in what time will it pass a bridge 195 m long ?
Options: a. 17, b. 18, c. 19, d. 20, e. 21
Output: b
Problem: f ( x ) is a function such that f ( 2 x + 1 ) = 2 f ( x ) + 1 for all real numbers x and f ( 0 ) = 2. find the value of f ( 3 ).
Options: a. 10, b. 11, c. 12, d. 13, e. 14
Output: b
Problem: evaluate 28 % of 450 + 45 % of 260
Options: a. 232, b. 243, c. 252, d. 262, e. 282
Output: b
Problem: what is the units digit of ( 44 ^ 4 ) ( 33 ^ 5 ) ( 21 ^ 6 ) ?
Options: a. 0, b. 2, c. 4, d. 6, e. 8
Output: e
Problem: the largest 4 digit number exactly divisible by 55 is ?
Options: a. 9935, b. 9939, c. 9944, d. 9955, e. 9960
Output: d
Problem: a sum of money deposited at c. i. amounts to rs. 2420 in 2 years and to rs. 2662 in 3 years. find the rate percent ?
Options: a. 23 %, b. 10 %, c. 32 %, d. 98 %, e. 31 %
Output: b
Problem: a car started running at a speed of 36 km / hr and the speed of the car was increased by 2 km / hr at the end of every hour. find the total distance covered by the car in the first 10 hours of the journey.
Options: a. 45 km, b. 76 km, c. 25 km, d. 15 km, e. 30 km
Output: a
Problem: the average age of a class of 20 students is 18 years. the average increased by 2 when the teacher ' s age also included. what is the age of the teacher ?
Options: a. 40 years, b. 41 years, c. 42 years, d. 43 years, e. 44 years
Output: a
Problem: the profits of qrs company rose 30 % from march to april, then dropped 20 % from april to may, then rose 50 % from may to june. what was the percent increase for the whole quarter, from march to june ?
Options: a. 15 %, b. 32 %, c. 56 %, d. 62 %, e. 80 %
Output: c
Problem: if the radius of a circle is increased by 20 % then the area is increased by :
Options: a. 44 %, b. 120 %, c. 144 %, d. 40 %, e. none of the above
Output: a
Problem: one half of a two digit number exceeds its one third by 7. what is the sum of the digits of the number ?
Options: a. a. 3, b. b. 5, c. c. 7, d. d. 9, e. e. 10
Output: e
Problem: the sum of two consecutive numbers is 37. what are they ?
Options: a. 18 and 19, b. 18 and 21, c. 18 and 23, d. 19 and 20, e. none
Output: a
Problem: a pupil ' s marks were wrongly entered as 83 instead of 63. due to that the average marks for the class got increased by half. the number of pupils in the class is :
Options: a. 45, b. 40, c. 39, d. 37, e. 38
Output: b
Problem: if 40 % of ( x - y ) = 30 % of ( x + y ) then what percent of x is y ?
Options: a. 2.5 %, b. 10 %, c. 5 %, d. 14 %, e. 25 %
Output: d
Problem: one fast typist type some matter in 4 hrs and another slow typist type the same matter in 6 hrs. if both do combine in how much time they will take to finish.
Options: a. 10 hr, b. 1 hr, c. 2 hr 24 mins, d. 3 hr 4 mins, e. 4 hr 10 mins
Output: c
Problem: there are 20 players on a rugby team. if the average weight of the players is 180 pounds, what will be the new average height if a 210 pound player will join the team ?
Options: a. 185, b. 183.22, c. 184.96, d. 181.43, e. 182.78
Output: d
Problem: if in a 20 over cricket match, there were no wide balls, no wides, no extras and no overthrows. what is the maximum number of runs that a batsman can score in an ideal case scenario ?
Options: a. 663, b. 720, c. 625, d. 640, e. none
Output: a
Problem: what annual payment will discharge a debt of rs. 1025 due in 2 years at the rate of 5 % compound interest ?
Options: a. rs. 550, b. rs. 551.25, c. rs. 560, d. rs. 560.75, e. rs. 660.75
Output: b
Problem: after 10 % of the inhabitants of a village disappeared, a panic set in during which 25 % of the remaining inhabitants left the village. at that time, the population was reduced to 5130. what was the number of original inhabitants ?
Options: a. 7300, b. 7600, c. 7900, d. 8200, e. 8500
Output: b
Problem: 40 is subtracted from 70 % of a number, the result is 30. find the number ?
Options: a. 150, b. 997, c. 266, d. 288, e. 100
Output: e
Problem: find the greatest number that will divide 28, 128 and 147 leaving 10, 2 and 3 as remainders respectively
Options: a. 19, b. 17, c. 13, d. 9, e. 18
Output: e
Problem: if a train, travelling at a speed of 120 kmph, crosses a pole in 6 sec, then the length of train is ?
Options: a. 281, b. 125, c. 200, d. 266, e. 121
Output: c
Problem: sakshi can do a piece of work in 5 days. tanya is 25 % more efficient than sakshi. the number of days taken by tanya to do the same piece of work :
Options: a. 4, b. 16, c. 18, d. 25, e. 10
Output: a
Problem: two pipes a and b can separately fill a cistern in 60 minutes and 80 minutes respectively. there is a third pipe in the bottom of the cistern to empty it. if all the three pipes are simultaneously opened, then the cistern is full in 40 minutes. in how much time, the third pipe alone can empty the cistern ?
Options: a. 90 min, b. 100 min, c. 240 min, d. 120 min, e. 130 min
Output: c
Problem: 13 buckets of water fill a tank when the capacity of each bucket is 51 litres. how many buckets will be needed to fill the same tank, if the capacity of each bucket is 17 litres ?
Options: a. 39, b. 28, c. 23, d. 12, e. 24
Output: a
Problem: a candidate appearing for an examination has to secure 55 % marks to pass paper i. but he secured only 45 marks and failed by 25 marks. what is the maximum mark for paper i ?
Options: a. 127, b. 120, c. 130, d. 140, e. 150
Output: a
Problem: by selling 15 pencils for a rupee a man loses 20 %. how many for a rupee should he sell in order to gain 20 % ?
Options: a. 8, b. 7, c. 6, d. 4, e. 10
Output: e
Problem: find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 10 cm ?
Options: a. 827 cm 2, b. 216 cm 2, c. 285 cm 2, d. 178 cm 2, e. 190 cm 2
Output: e
Problem: a sum of money is to be divided among ann, bob and chloe. first, ann receives $ 4 plus one - half of what remains. next, bob receives $ 4 plus one - third of what remains. finally, chloe receives the remaining $ 32. how much money n did bob receive ?
Options: a. 20, b. 22, c. 24, d. 26, e. 52
Output: b
Problem: two trains leave a station traveling the same direction. train a leaves the station traveling at a constant speed of 60 mph, and train b leaves the station traveling at a constant speed of 80 mph. if both trains maintain constant speeds, in how many minutes will train b overtake train a if train a left 40 minutes prior to train b ?
Options: a. 90, b. 100, c. 110, d. 120, e. 130
Output: d
Problem: if the average of 5 positive integers is 50 and the difference between the largest and the smallest of these 5 numbers is 10, what is the maximum value possible for the largest of these 5 integers ?
Options: a. 50, b. 58, c. 49, d. 48, e. 44
Output: b
Problem: what is the smallest number which, when increased by 7, is divisible by 8, 11, and 24 ?
Options: a. 264, b. 257, c. 269, d. 270, e. 282
Output: b
Problem: in a college the ratio of the numbers of boys to the girls is 8: 5. if there are 210 girls, the total number of students in the college is ?
Options: a. 562, b. 356, c. 452, d. 416, e. 546
Output: e
Problem: the grade point average of one third of the classroom is 15; the grade point average of the rest is 18. what is the grade point average of the whole class ?
Options: a. 17, b. 19, c. 21, d. 23, e. 25
Output: a
Problem: arjun started a business with rs. 10,000 and is joined afterwards by anoop with rs. 40, 000. after how many months did anoop join if the profits at the end of the year are divided equally ?
Options: a. 3, b. 4, c. 5, d. 6, e. 9
Output: e
Problem: if the operation @ is defined for all a and b by the equation a @ b = ( a - b. / 5, then ( 3 @ - 2 ) @ 6 = ?
Options: a. 0, b. 1, c. 2, d. - 2, e. - 1
Output: e
Problem: what is the ratio of 5 / 7 to the product 3 * ( 7 / 3 ) ?
Options: a. 3: 7, b. 1: 3, c. 5: 49, d. 1: 7, e. 3: 49
Output: c
Problem: a goods train runs at the speed of 72 km / hr and crosses a 250 m long platform in 15 sec. what is the length of the goods train ?
Options: a. 299, b. 277, c. 276, d. 270, e. 50
Output: e
Problem: a goods train runs at the speed of 72 km / hr and crosses a 290 m long platform in 26 sec. what is the length of the goods train ?
Options: a. 278, b. 166, c. 151, d. 230, e. 109
Output: d
Problem: the contents of a certain box consist of 24 oranges and 30 kiwis. how many kiwis must be added to the box so that exactly 30 % of the pieces of fruit in the box will be oranges ?
Options: a. 24, b. 26, c. 30, d. 46, e. 50
Output: b
Problem: if s is the sum of reciprocals of a list of consecutive integers from 55 to 64, inclusive, s is approximately equal to
Options: a. 0.16, b. 0.2, c. 0.3, d. 0.4, e. 0.5
Output: a
Problem: the sector of a circle has radius of 28 cm and central angle 135 o. find its perimeter ?
Options: a. 122 cm, b. 92.2 cm, c. 28.9 cm, d. 29.2 cm, e. 98.2 cm
Output: a
Problem: a swimmer swims downstream 55 km and upstream 10 km taking 5 hours each time; what is the speed of the current ?
Options: a. 4.6, b. 4.5, c. 4.4, d. 4.3, e. 4.2
Output: b
Problem: what is the sum of the greatest common factor and the lowest common multiple of 16 and 72 ?
Options: a. 142, b. 152, c. 124, d. 160, e. 184
Output: b
Problem: a is half good a work man as b and together they finish a job in 13 days. in how many days working alone b finish the job ?
Options: a. 23, b. 22, c. 39 / 2, d. 36, e. 48
Output: c
Problem: 33 persons can repair a road in 12 days, working 5 hours a day. in how many days will 30 persons, working 6 hours a day, complete the work ?
Options: a. 10, b. 11, c. 13, d. 18, e. 19
Output: b
Problem: the diagonal of a rectangle is √ 41 cm and its area is 20 sq. cm. the perimeter of the rectangle must be :
Options: ['a. 18', 'b. 28', 'c. 38', 'd. 48', 'e. 58']
Output: a
Problem: the pilot of a small aircraft with a 60 - gallon fuel tank wants to fly to cleveland, which is 480 miles away. the pilot recognizes that the current engine, which can fly only 10 miles per gallon, will not get him there. by how many miles per gallon must the aircraft ’ s fuel efficiency be improved to make the flight to cleveland possible ?
Options: a. 5, b. 12, c. 2, d. 4, e. 6
Output: c
Problem: there is a square with sides of 12. what is the circumference of the biggest circle that can be cut out of this square ?
Options: ['a. 75.4', 'b. 31.42', 'c. 36', 'd. 18.85', 'e. 37.7']
Output: e
Problem: convert 0.36 in to a vulgar fraction ?
Options: a. 18 / 50, b. 16 / 50, c. 17 / 50, d. 9 / 25, e. none
Output: d
Problem: a box contain the number of balls which is as much greater than 44 is less than 70. the number of balls is ?
Options: a. 47, b. 114, c. 74, d. 67, e. 57
Output: e
Problem: robert ' s salary was decreased by 20 % and subsequently increased by 20 %. how much percentage does he lose ?
Options: a. 4 %, b. 20 %, c. 25 %, d. 30 %, e. 50 %
Output: a
Problem: the average of temperatures at noontime from monday to friday is 55; the lowest one is 45, what is the possible maximum range of the temperatures ?
Options: a. 20, b. 25, c. 40, d. 45, e. 75
Output: c
Problem: 12. what is the dividend. divisor 17, the quotient is 9 and the remainder is 6.
Options: a. 150, b. 152, c. 154, d. 159, e. 144
Output: d
Problem: what is the probability that the sum of two dice will yield a 5, and then when both are thrown again, their sum will again yield a 5 ? assume that each die has 4 sides with faces numbered 1 to 4.
Options: a. 1 / 144, b. 1 / 36, c. 1 / 12, d. 1 / 16, e. 1 / 3
Output: d
Problem: a, b, c and d enter into partnership. a subscribes 1 / 3 of the capital b 1 / 4, c 1 / 5 and d the rest. how much share did a get in a profit of rs. 2400 ?
Options: a. s. 800, b. s. 810, c. s. 820, d. s. 900, e. s. 920
Output: a
Problem: yesterday ' s closing prices of 2,420 different stocks listed on a certain stock exchange were all different from today ' s closing prices. the number of stocks that closed at a higher price today than yesterday was 20 percent greater than the number that closed at a lower price. how many of the stocks closed at a higher price today than yesterday ?
Options: a. 484, b. 726, c. 1,100, d. 1,320, e. 1,694
Output: d
Problem: a shopkeeper sells 200 metres of cloth for rs. 12000 at a loss of rs. 12 per metre. find his cost price for one metre of cloth ?
Options: a. s. 59, b. s. 72, c. s. 62, d. s. 50, e. s. 13
Output: b
Problem: before 7 years, dog a ’ s age was 4 times of dog b ’ s age and after 4 years, dog a ’ s age will be 3 times of dog b ’ s age. what is the difference of dog a ’ s age and dog b ’ s now ?
Options: a. 36, b. 42, c. 54, d. 60, e. 70
Output: e
Problem: a pipe can empty 2 / 3 rd of a cistern in 12 mins. in 6 mins, what part of the cistern will be empty ?
Options: a. 2 / 3, b. 3 / 7, c. 4 / 9, d. 3 / 8, e. 1 / 3
Output: e
Problem: a grocer has a sale of rs. 5420, rs. 5660, rs. 6200, rs. 6350 and rs. 6500 for 5 consecutive months. find the sale he should have in the sixth month, so that he gets an average sale of rs. 6400 ?
Options: a. rs. 5870, b. rs. 8270, c. rs. 6020, d. rs. 6850, e. none of these
Output: b
Problem: 1401 x 1401 = ?
Options: a. 1962800, b. 1962801, c. 1960000, d. 1951611, e. 1951613
Output: b
Problem: the sum of first n consecutive odd integers is n ^ 2. what is the sum of all odd integers between 9 and 39 inclusive.
Options: a. 351, b. 384, c. 410, d. 424, e. 450
Output: b
Problem: huey ' s hip pizza sells two sizes of square pizzas: a small pizza that measures 12 inches on a side and costs $ 10, and a large pizza that measures 18 inches on a side and costs $ 20. if two friends go to huey ' s with $ 30 apiece, how many more square inches of pizza can they buy if they pool their money than if they each purchase pizza alone ?
Options: a. 5 square inches, b. 36 square inches, c. 15 square inches, d. 25 square inches, e. 350 square inches
Output: b
Problem: two goods trains each 75 m long are running in opposite directions on parallel tracks. their speeds are 45 km / hr and 30 km / hr respectively. find the time taken by the slower train to pass the driver of the faster one ?
Options: a. 2.3 sec, b. 4.2 sec, c. 48 sec, d. 7.2 sec, e. 9 sec
Output: d
Problem: if each participant of a chess tournament plays exactly one game with each of the remaining participants, then 153 games will be played during the tournament. find the number of participants.
Options: a. 15, b. 16, c. 17, d. 18, e. 19
Output: d
Problem: find the ones digit of 73 ^ 340
Options: a. 3, b. 5, c. 6, d. 7, e. 9
Output: a
Problem: if a lends rs. 2000 to b at 15 % per annum and b lends the same sum to c at 17 % per annum then the gain of b in a period of 4 years is ?
Options: a. 155, b. 162, c. 157.5, d. 160, e. 157.12
Output: d
Problem: how much time will a train of length 400 m moving at a speed of 72 kmph take to cross another train of length 300 m, moving at 36 kmph in the same direction ?
Options: a. 40 sec, b. 50 sec, c. 60 sec, d. 70 sec, e. 80 sec
Output: d
Problem: length of a rectangular plot is 26 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. 53 m, b. 63 m, c. 73 m, d. 83 m, e. 93 m
Output: b
Problem: on a map the distance between two mountains is 312 inches. the actual distance between the mountains is 136 km. ram is camped at a location that on the map is 34 inch from the base of the mountain. how many km is he from the base of the mountain ?
Options: ['a. 14.83', 'b. 14.81', 'c. 14.8', 'd. 14.82', 'e. 14.12']
Output: d
Problem: the sum of the present ages of a father and his son is 42 years. 6 years ago, father ' s age was 4 times the age of the son. after 6 years, son ' s age will be :
Options: a. 14, b. 16, c. 18, d. 20, e. 22
Output: c
Problem: two trains a and b starting from two points and travelling in opposite directions, reach their destinations 9 hours and 16 hours respectively after meeting each other. if the train a travels at 80 kmph, find the rate at which the train b runs.
Options: a. 40, b. 160, c. 120, d. 80, e. 100
Output: b
Problem: a recipe requires 2 1 / 2 ( mixed number ) cups of flour 2 3 / 4 ( mixed number ) cups of sugar and 1 1 / 3 ( mixed number ) cups of milk to make one cake. victor has 15 cups if flour, 16 cups of sugar and 8 cups of milk. what is the greatest number of cakes tom can make using this recipe ?
Options: a. 5, b. 6, c. 7, d. 8, e. 9
Output: a
Problem: the c. p of 10 pens is equal to the s. p of 5 pens. find his gain % or loss % ?
Options: a. 50 %, b. 40 %, c. 30 %, d. 60 %, e. 20 %
Output: a
Problem: the average of 6 no. ' s is 3.95. the average of 2 of them is 4.2, while the average of theother 2 is 3.85. what is the average of the remaining 2 no ' s ?
Options: a. 4.2, b. 4.4, c. 4.6, d. 3.8, e. 5.7
Output: d
Problem: 20 one identical machines, running continuously at the same constant rate, take 9 days to complete a shipment. how many additional machines, each running at the same constant rate, would be needed to reduce the time required to complete a shipment by two days ?
Options: a. 2, b. 3, c. 4, d. 6, e. 9
Output: d
Problem: a furniture dealer purchased a desk for $ 150 and then set the selling price equal to the purchase price plus a markup that was 40 % of the selling price. if the dealer sold the desk at the selling price, what was the amount of the dealer ' s gross profit from the purchase and the sale of the desk ?
Options: a. $ 40, b. $ 60, c. $ 80, d. $ 90, e. $ 100
Output: e
Problem: the number of sailors on a ship is 78 % more than the number of officers. the ratio of sailors to officers would be
Options: a. 33: 25, b. 47: 20, c. 47: 25, d. 89: 50, e. 97: 50
Output: d
Problem: three 7 faced dice are thrown together. the probability that all the three show the same number on them is ?
Options: a. 1 / 38, b. 1 / 49, c. 1 / 39, d. 1 / 42, e. 1 / 29
Output: b
Problem: how much more would rs. 10000 fetch, after two years, if it is put at 20 % p. a. compound interest payable half yearly than if is put at 20 % p. a. compound interest payable yearly ?
Options: a. 241, b. 725, c. 992, d. 837, e. 923
Output: a
Problem: what is the decimal equivalent of ( 1 / 4 ) ^ 2 ?
Options: a. 0.0016, b. 0.0625, c. 0.16, d. 0.25, e. 0.5
Output: b
Problem: a paint store mixes 3 / 4 pint of red paint and 2 / 3 pint of white paint to make a new paint color called perfect pink. how many pints of red paint would be needed to make 33 pints of perfect pink paint ?
Options: a. 9, b. 16, c. 17, d. 25 1 / 3, e. 28 1 / 2
Output: c
Problem: a rectangular field has area equal to 150 sq m and perimeter 50 m. its length and breadth must be ?
Options: ['a. 15 m, 15 m', 'b. 15 m, 90 m', 'c. 16 m, 10 m', 'd. 15 m, 10 m', 'e. 15 m, 30 m']
Output: d
Problem: if 5 + 7 / x = 6 - 5 / x, then x =
Options: a. 7, b. 14, c. 12, d. 6 / 7, e. 5
Output: c
Problem: the average of 15 numbers is calculated as 30. 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. 12, b. 26, c. 16, d. 45, e. 12
Output: d
Problem: kelly has had 3 pay cuts in her salary in the past 6 months. if the first pay cut was 8 %, the second pay cut was 14 % and the third was 18 %. what will be the percentage decrease, if the salary is decreased in a single shot ?
Options: a. 35.9 %, b. 34.12 %, c. 32.12 %, d. 35.12 %, e. 31.12 %
Output: d
Problem: a, b and c are partners. a receives 2 / 3 of profits, b and c dividing the remainder equally. a ' s income is increased by rs. 400 when the rate to profit rises from 5 to 7 percent. find the capital of c ?
Options: a. 3377, b. 2899, c. 5000, d. 2778, e. 1991
Output: c
Problem: how many distinct integer values of n satisfy the inequality | | n - 3 | + 4 | ≤ 11 ?
Options: a. 15, b. 16, c. 17, d. 8, e. 19
Output: d
Problem: in the coordinate plane, a circle centered on point ( - 3, - 4 ) passes through point ( 1, 2 ). what is the area of the circle ?
Options: a. 9 π, b. 18 π, c. 25 π, d. 37 π, e. 52 π
Output: e
Problem: a and b began business with rs. 3000 and rs. 4000 after 8 months, a withdraws rs. 1000 and b advances rs. 1000 more. at the end of the year, their profits amounted to rs. 630 find the share of a ?
Options: a. 240, b. 278, c. 209, d. 267, e. 262
Output: a
Problem: what is the sum of the 1 st 5 prime numbers greater than 20 ?
Options: a. 121, b. 151, c. 168, d. 164, e. 161
Output: e
Problem: the population of a bacteria culture doubles every 2 minutes. approximately how many minutes will it take for the population to grow from 1000 to 1000000 bacteria
Options: a. 10, b. 12, c. 14, d. 16, e. 20
Output: e
Problem: a woman bought a pack of 36 eggs, but the seller told her that there were 3 rotten eggs in the pack. she forgot it and begun to prepare a recipe that needs 2 eggs. what is the probability that both choosen eggs will be rotten ?
Options: a. 1 / 210, b. 2 / 210, c. 3 / 210, d. 1 / 119, e. 2 / 119
Output: a
Problem: if a person walks at 20 km / hr instead of 10 km / hr, he would have walked 20 km more. the actual distance traveled by him is :
Options: a. 20 km, b. 56 km, c. 60 km, d. 70 km, e. 80 km
Output: a
Problem: 20 % of a number is more than 30 % of 120 by 80. find the number ?
Options: a. 520, b. 560, c. 580, d. 620, e. 610
Output: c
Problem: find the average of all prime numbers between 40 and 80.
Options: a. 59.4, b. 56, c. 39.8, d. 44.9, e. none
Output: a
Problem: the population of a bacteria colony doubles every day. if it was started 9 days ago with 2 bacteria and each bacteria lives for 12 days, how large is the colony today ?
Options: a. 512, b. 768, c. 1024, d. 2048, e. 4096
Output: c
Problem: in may, the groundskeeper at spring lake golf club built a circular green with an area of 65 π square feet. in august, the groundskeeper doubled the distance from the center of the green to the edge of the green. what is the total area of the renovated green ?
Options: a. 105 π, b. 130 π, c. 200 π, d. 260 π, e. 320 π
Output: d
Problem: on dividing 190 by a number, the quotient is 9 and the remainder is 1. find the divisor ?
Options: a. a. 12, b. b. 15, c. c. 16, d. d. 17, e. e. 21
Output: e
Problem: let c be defined as the sum of all prime numbers between 0 and 32. what is c / 3
Options: a. 155, b. 129, c. 61, d. 47, e. 53.3
Output: e
Problem: exactly 28 % of the reporters for a certain wire service cover local politics in country x. if 30 % of the reporters who cover politics for the wire service do not cover local politics in country x, what percent of the reporters for the wire service do not cover politics ?
Options: a. 20 %, b. 42 %, c. 44 %, d. 60 %, e. 84 %
Output: d
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. 98.01, the number of the member is the group is :
Options: a. 57, b. 67, c. 77, d. 99, e. 97
Output: d
Problem: the speed of a car is 60 km in the first hour and 30 km in the second hour. what is the average speed of the car ?
Options: a. 45 kmph, b. 65 kmph, c. 75 kmph, d. 85 kmph, e. 90 kmph
Output: a
Problem: how many figures are required for numbering the pages of a book containing 1000 pages ?
Options: a. 2726, b. 2878, c. 2893, d. 2765, e. 1811
Output: c
Problem: if the length of the longest chord of a certain circle is 10, what is the radius of that certain circle ?
Options: ['a. 2.5', 'b. 5', 'c. 10', 'd. 15', 'e. 20']
Output: b
Problem: in how many ways 2 boys and 2 girls can be seated in a row so that boys and girls are alternate ?
Options: a. 7, b. 8, c. 9, d. 10, e. 11
Output: b
Problem: for what value of x, is | x – 3 | + | x + 1 | + | x | = 8 ?
Options: a. 0, b. 3, c. - 3, d. 4, e. - 2
Output: e
Problem: the ratio of number of boys and girls in a school is 3: 2. if there are 100 students in the school, find the number of girls in the school ?
Options: a. 25, b. 30, c. 35, d. 40, e. 50
Output: d