niryuu/sni-each-converted huggingface dataset:
Problem: a number when divided by a divisor leaves a remainder of 23. when twice the original number is divided by the same divisor, the remainder is 11. what is the value of the divisor ?
Options: a. 12, b. 13, c. 35, d. 36, e. 59
Output: d
Problem: two years ago, ram put $ 500 into a savings account. at the end of the first year, his account had accrued $ 100 in interest bringing his total balance to $ 600. the next year, his account balance increased by 10 %. at the end of the two years, by what percent has ram ' s account balance increased from his initial deposit of $ 500 ?
Options: a. 19 %, b. 28 %, c. 30 %, d. 32 %, e. 25 %
Output: d
Problem: population of a city in 20004 was 1000000. if in 2005 there isan increment of 10 %, in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45 %, then find the population of city atthe end of the year 2007
Options: a. 976374, b. 979923, c. 980241, d. 1036750, e. 1083875
Output: d
Problem: if the sum of two numbers is 45 and the h. c. f and l. c. m of these numbers are 3 and 100 respectively, then the sum of the reciprocal of the numbers is equal to :
Options: a. 103 / 300, b. 103 / 200, c. 112 / 300, d. 154 / 140, e. 100 / 300
Output: a
Problem: what is the value of ( 2 ) ^ - 3 ?
Options: a. 1 / 6, b. 1 / 5, c. 1 / 8, d. 1 / 9, e. 1 / 7
Output: c
Problem: mr. kramer, the losing candidate in a two - candidate election, received 942,568 votes, which was exactly 45 percent of all votes cast. approximately what percent of the remaining votes would he need to have received in order to have won at least 50 percent of all the votes cast ?
Options: a. 9 %, b. 12 %, c. 15 %, d. 17 %, e. 20 %
Output: a
Problem: pipe a can fill a tank in 6 hours. due to a leak at the bottom, it takes 12 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. 18, d. 19, e. 12
Output: e
Problem: w and x start a business with rs. 5000 and rs. 20000 respectively. hoe should they share their profits at the end of one year ?
Options: a. 4: 1, b. 1: 3, c. 1: 4, d. 1: 5, e. 2: 1
Output: c
Problem: in an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. if he attempts all 80 questions and secures 130 marks, the no of questions he attempts correctly is :
Options: a. a. 35, b. b. 38, c. c. 90, d. d. 88, e. e. 42
Output: e
Problem: what is the least number should be added to 1056, so the sum of the number is completely divisible by 29 ?
Options: a. 17, b. 27, c. 37, d. 47, e. 57
Output: a
Problem: an optometrist charges $ 150 per pair for soft contact lenses and $ 85 per pair for hard contact lenses. last week she sold 5 more pairs of soft lenses than hard lenses. if her total sales for pairs of contact lenses last week were $ 1455, what was the total number of pairs of contact lenses that she sold ?
Options: a. 11, b. 13, c. 15, d. 17, e. 19
Output: a
Problem: if the price of an article went up by 30 %, then by what percent should it be brought down to bring it back to its original price ?
Options: a. 25 %, b. 23 1 / 13 %, c. 16 7 / 3 %, d. 16 6 / 3 %, e. 16 2 / 3 %
Output: b
Problem: if n is the product of all the integers from 5 to 20, inclusive, what is the greatest integer k for which 2 ^ k is a factor of n ?
Options: a. 11, b. 12, c. 13, d. 14, e. 15
Output: e
Problem: the perimeter of an isosceles right triangle is 14 + 14 sq rt 2. what is the length of the hypotenuse of the triangle ?
Options: a. 5, b. 6, c. 7, d. 8, e. 9.899
Output: e
Problem: sushil got thrice as many marks in english as in science. his total marks in english, science and maths are 180. if the ratio of his marks in english and maths is 1: 2, find his marks in science ?
Options: a. 19, b. 77, c. 66, d. 55, e. 31
Output: a
Problem: what is 82 % of 3 / 5 ?
Options: a. 6.9, b. 0.492, c. 0.6845, d. 0.6859, e. 0.69
Output: b
Problem: country c imposes a two - tiered tax on imported cars: the first tier imposes a tax of 12 % of the car ' s price up to a certain price level. if the car ' s price is higher than the first tier ' s level, the tax on the portion of the price that exceeds this value is 9 %. if ron imported a $ 18000 imported car and ended up paying $ 1950 in taxes, what is the first tier ' s price level ?
Options: a. $ 11500, b. $ 11000, c. $ 12000, d. $ 12100, e. $ 12500
Output: b
Problem: a 90 cm long wire is to be cut into two pieces so that one piece will be 2 / 7 th of the other, how many centimeters will the shorter piece be ?
Options: a. a. 73, b. b. 20, c. c. 83, d. d. 21, e. e. 52
Output: b
Problem: the sum of 3 integers is 33. the largest integer is 3 times the middle integer, and the smallest integer is 23 less than the largest integer. what is the product of the 3 integers ?
Options: a. 192, b. 203, c. 214, d. 225, e. 236
Output: a
Problem: how many integers between 1 and 10 ^ 19 are such that the sum of their digits is 2 ?
Options: a. 190, b. 210, c. 211, d. 230, e. 231
Output: a
Problem: joe ’ s average ( arithmetic mean ) test score across 4 equally weighted tests was 70. he was allowed to drop his lowest score. after doing so, his average test score improved to 75. what is the lowest test score that was dropped ?
Options: a. 20, b. 25, c. 55, d. 65, e. 80
Output: c
Problem: an error 2 % in excess is made while measuring the sideofa square. the % of error in the calculated area of the square is ?
Options: a. 4 %, b. 4.04 %, c. 4.15 %, d. 5 %, e. 5.24 %
Output: b
Problem: what is the normal price of an article sold at $ 144 after two successive discounts of 10 % and 20 % ?
Options: a. $ 184, b. $ 192, c. $ 200, d. $ 208, e. $ 216
Output: c
Problem: the length of a room is 6.5 m and width is 2.75 m. what is the cost of paying the floor by slabs at the rate of rs. 600 per sq. metre.
Options: a. rs. 18725, b. rs. 16725, c. rs. 30725, d. rs. 10725, e. rs. 20725
Output: d
Problem: the number of diagonals of a polygon of n sides is given by the formula v = n ( n - 3 ) / 2. if a polygon has twice as many diagonals as sides, how many sides does it have ?
Options: a. 3, b. 5, c. 6, d. 7, e. 8
Output: b
Problem: what is the least common multiple of 12,27 and 40
Options: a. 8521, b. 1080, c. 368, d. 8979, e. 6584
Output: b
Problem: saturn travels around the sun at an approximate speed of 5.82 miles per second. this speed is how many kilometers per hour ? ( 1 km = 0.6 miles )
Options: a. 30,560, b. 31,650, c. 32,740, d. 33,830, e. 34,920
Output: e
Problem: total 30 cows 10 cow gives each 2 liter milk 10 cow gives each 3 / 4 liter milk 10 cow gives each 1 / 4 liter milk this is split into 3 son per each 10 cows & 10 liter milk how ?
Options: a. 10, b. 12, c. 15, d. 16, e. 18
Output: a
Problem: if 15 % of 30 % of 50 % of a number is 108, then what is the number ?
Options: a. 4000, b. 3050, c. 4400, d. 4800, e. none of these
Output: d
Problem: andy solves problems 75 to 125 inclusive in a math exercise. how many problems does he solve ?
Options: a. 53, b. 52, c. 51, d. 50, e. 49
Output: c
Problem: if a boat goes 7 km upstream in 42 minutes and the speed of the stream is 6 kmph, then the speed of the boat in still water is
Options: a. 12 kmph, b. 13 kmph, c. 14 kmph, d. 15 kmph, e. none of these
Output: e
Problem: a worker earns $ 20 on the first day and spends $ 15 on the second day. the worker earns $ 20 on the third day and spends $ 15 on the fourth day. if this pattern continues, on which day will the worker first reach a net total of $ 80 ?
Options: a. 24, b. 25, c. 27, d. 30, e. 32
Output: b
Problem: 6 ) a marketing firm determined that, of 260 households surveyed, 80 used neither brand a nor brand b soap. 60 used only brand a soap and for every household that used both brands of soap, 3 used only brand b soap. how many of the 200 household surveyed used both brands of soap ?
Options: a. a. 15, b. b. 20, c. c. 30, d. d. 40, e. e. 45
Output: c
Problem: 26 buckets of water fill a tank when the capacity of each bucket is 13.5 litres. how many buckets will be required to fill the same tank if the capacity of each bucket is 9 litres ?
Options: a. 30, b. 39, c. 60, d. data inadequate, e. none of these
Output: b
Problem: a train is running at a speed of 40 km / hr and it crosses a post in 22.5 seconds. what is the length of the train ?
Options: a. 190 metres, b. 160 metres, c. 200 metres, d. 120 metres, e. 250 metres
Output: e
Problem: at a florist shop on a certain day, all corsages sold for either $ 20 or $ 30. if 10 of the corsages that sold for $ 30 had instead sold for $ 20, then the store ' s revenue from corsages that day would have been reduced by 20 percent. what was the store ' s actual revenue from corsages that day ?
Options: a. $ 200, b. $ 400, c. $ 500, d. $ 800, e. $ 1000
Output: c
Problem: it is currently 8: 12 pm. at what time in the morning was it exactly 205,106 minutes ago ?
Options: a. 9: 14, b. 9: 16, c. 9: 42, d. 9: 44, e. 9: 46
Output: e
Problem: a circular ground whose diameter is 70 metres, has a 2.8 metre - broad garden around it. what is the area of the garden in square metres ?
Options: a. 540.72, b. 740.64, c. 640.64, d. 620.45, e. 725.26
Output: c
Problem: a 70 kg metal bar made of alloy of tin and silver lost 7 kg of its weight in the water. 10 kg of tin loses 1.375 kg in the water; 5 kg of silver loses 0.375 kg. what is the ratio of tin to silver in the bar ?
Options: a. 1 / 4, b. 2 / 5, c. 1 / 2, d. 3 / 5, e. 2 / 3
Output: e
Problem: what is the rate percent when the simple interest on rs. 720 amount to rs. 180 in 4 years ?
Options: a. 6.25, b. 7.25, c. 8.25, d. 9.25, e. 10.25
Output: a
Problem: when 242 is divided by a certain divisor the remainder obtained is 15. when 698 is divided by the same divisor the remainder obtained is 27. however, when the sum of the two numbers 242 and 698 is divided by the divisor, the remainder obtained is 5. what is the value of the divisor ?
Options: a. 11, b. 17, c. 13, d. 23, e. 37
Output: e
Problem: if 25 % of a number is equal to one - third of another number, what is the ratio of first number to the second number ?
Options: a. 4: 3, b. 1: 4, c. 3: 7, d. 6: 11, e. 2: 3
Output: a
Problem: gold is 19 times as heavy as water and copper is 9 times as heavy as water. in what ratio should these be mixed to get an alloy 15 times as heavy as water ?
Options: a. 3: 2, b. 3: 8, c. 5: 7, d. 3: 7, e. 3: 6
Output: a
Problem: find the cost of fencing around a circular field of diameter 32 m at the rate of rs. 2 a meter ?
Options: a. 201, b. 132, c. 772, d. 592, e. 261
Output: a
Problem: how many liters of pure alcohol must be added to a 100 - liter solution that is 20 percent alcohol in order to produce a solution that is 40 percent alcohol ?
Options: a. 7 / 2, b. 5, c. 100 / 3, d. 8, e. 39 / 4
Output: c
Problem: a bookseller has two display windows. she plans to display 3 new fiction books in the left window, and 3 new non - fiction books in the right window. assuming she can put the 4 fiction books in any order, and separately, the 3 non - fiction books in any order, how many total configurations will there be for the two display windows ?
Options: a. 24, b. 72, c. 144, d. 36, e. 420
Output: d
Problem: find a two digit number, given that the sum of the digits is 11 and the difference of the digits is 5. ?
Options: a. 78, b. 53, c. 89, d. 83, e. 99
Output: d
Problem: what is the remainder when 43 ^ 87 is divided by 5 ?
Options: a. 0, b. 1, c. 2, d. 3, e. 4
Output: c
Problem: if julie rows 32 km upstream and 72 km down steam taking 4 hours each, then the speed of the stream
Options: a. 1.5 kmph, b. 0.5 kmph, c. 0.4 kmph, d. 1.6 kmph, e. 2.5 kmph
Output: b
Problem: for any positive integer n, the sum of the first n positive integers equals n ( n + 1 ) / 2. what is the sum of odd all the integers between 10 and 100 ?
Options: a. 1345, b. 1576, c. 2475, d. 2578, e. 1895
Output: c
Problem: two numbers are in the ratio of 7: 6. if 18 be subtracted from each, they are in the ratio of 6: 5. find the numbers ?
Options: a. 5,9, b. 7,9, c. 4,7, d. 7,6, e. 6,9
Output: d
Problem: sally has a gold credit card with a certain spending limit, and a platinum card with twice the spending limit of the gold card. currently, she has a balance on her gold card that is 1 / 3 of the spending limit on that card, and she has a balance on her platinum card that is 1 / 7 of the spending limit on that card. if sally transfers the entire balance on her gold card to her platinum card, what portion of her limit on the platinum card will remain unspent ?
Options: a. 11 / 30, b. 29 / 42, c. 17 / 30, d. 19 / 30, e. 11 / 15
Output: b
Problem: of all the homes on gotham street, 1 / 3 are termite - ridden, and 4 / 7 of these are collapsing. what fraction of the homes are termite - ridden, but not collapsing ?
Options: a. 1 / 3, b. 1 / 4, c. 1 / 5, d. 1 / 6, e. 1 / 7
Output: e
Problem: if the average ( arithmetic mean ) of x + 2, x + 3, and x + 4 is 0, then x =
Options: a. – 4, b. – 3, c. – 2, d. – 1, e. 0
Output: b
Problem: 2 + 2 + 2 ² + 2 ³... + 2 ^ 6
Options: a. 2 ^ 9, b. 2 ^ 10, c. 2 ^ 16, d. 2 ^ 35, e. 2 ^ 7
Output: e
Problem: 54671 - 14456 - 31466 = ?
Options: a. 2449, b. 5449, c. 8749, d. 8449, e. 6468
Output: c
Problem: what is the minimum value of | x - 4 | + | x + 5 | + | x - 5 | ?
Options: a. - 3, b. 3, c. 5, d. 7, e. 10
Output: e
Problem: sravan travelled for 15 hours. he covered the first half of the distance at 45 kmph and remaining half of the distance at 30 kmph. find the distance travelled by sravan ?
Options: a. 520, b. 540, c. 550, d. 560, e. 440
Output: b
Problem: 50 litres of diesel is required to travel 600 km using a 800 cc engine. if the volume of diesel required to cover a distance varies directly as the capacity of the engine, then how many litres of diesel is required to travel 800 km using 1200 cc engine ?
Options: a. 80 litres, b. 90 litres, c. 100 litres, d. 170 litres, e. none of these
Output: c
Problem: a manufacturer produces a certain men ' s athletic shoe in integer sizes from 8 to 17. for this particular shoe, each unit increase in size corresponds to a 1 / 4 - inch increase in the length of the shoe. if the largest size of this shoe is 10 % longer than the smallest size, how long, in inches, is the shoe in size 15 ?
Options: a. 18.25, b. 20.75, c. 22.25, d. 24.25, e. 26.75
Output: d
Problem: a student travels from his house to school at 10 km / hr and reaches school 2 hours late. the next day he travels 18 km / hr and reaches school 1 hour early. what is the distance between his house and the school ?
Options: a. 65.0, b. 67.5, c. 70.0, d. 72.5, e. 75.0
Output: b
Problem: excluding stoppages, the average speed of a bus is 75 km / hr and including stoppages, the average speed of the bus is 40 km / hr. for how many minutes does the bus stop per hour ?
Options: a. 15 min, b. 18 min, c. 16 min, d. 20 min, e. 28 min
Output: e
Problem: find the area of a parallelogram with base 26 cm and height 16 cm ?
Options: a. 297 cm 2, b. 384 cm 2, c. 672 cm 2, d. 416 cm 2, e. 286 cm 2
Output: d
Problem: by selling an article at rs. 600, a shopkeeper makes a profit of 25 %. at what price should he sell the article so as to make a loss of 25 % ?
Options: a. s. 360, b. s. 480, c. s. 500, d. s. 450, e. s. 550
Output: a
Problem: a man invests some money partly in 15 % stock at 105 and partly in 8 % stock at 40. to obtain equal dividends from both, he must invest the money in the ratio :
Options: a. 3: 4, b. 3: 5, c. 7: 5, d. 16: 15, e. none
Output: c
Problem: the length of a room is 5.5 m and width is 3.75 m. find the cost of paving the floor by slabs at the rate of rs. 600 per sq. metre.
Options: a. rs. 12375, b. rs. 15550, c. rs. 15600, d. rs. 16500, e. none of these
Output: a
Problem: a and b started a business in partnership investing rs. 20,000 and rs. 15,000 respectively. after 6 months, c joined them with rs. 20,000. whatwill be b ' s share in total profit of rs. 15,000 earned at the end of 2 years from the startingof the business ?
Options: a. s. 5,000, b. s. 4,500, c. s. 5,700, d. s. 6,500, e. s. 7,500
Output: b
Problem: if @ is a binary operation defined as the difference between an integer n and the product of n and 5, then what is the largest positive integer n such that the outcome of the binary operation of n is less than 14 ?
Options: a. 1, b. 2, c. 3, d. 4, e. 5
Output: c
Problem: if x ^ 2 – 4 x = 5, then one possible value of x – 2 =
Options: a. - 9, b. - 5, c. - 3, d. - 1, e. 5
Output: c
Problem: if 9 workers can build 9 cars in 9 days, then how many days would it take 7 workers to build 7 cars ?
Options: a. 6, b. 7, c. 8, d. 9, e. 10
Output: d
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 0.20. the probability that neither a nor b occur is _________
Options: a. 0.45, b. 0.4, c. 0.55, d. 0.05, e. 0.6
Output: c
Problem: a bakery has 6 employees. it pays annual salaries of $ 19,000 to each of 2 employees, $ 21,000 to 1 employee, and $ 22,000 to each of the remaining 3 employees. which number is closest to the average ( arithmetic mean ) annual salary of these employees ?
Options: a. $ 20,200, b. $ 20,500, c. $ 20,800, d. $ 21,000, e. $ 21,400
Output: c
Problem: the length of a rectangular floor is more than its breadth by 200 %. if rs. 300 is required to paint the floor at the rate of rs. 5 per sq m, then what would be the length of the floor ?
Options: a. 65, b. 13.42, c. 18, d. 16, e. 14
Output: b
Problem: the s. i. on a certain sum of money for 5 years at 10 % per annum is half the c. i. on rs. 5000 for 2 years at 12 % per annum. the sum placed on s. i. is ?
Options: a. 1585, b. 1454, c. 1656, d. 2458, e. 1272
Output: e
Problem: the sum of all two digit numbers divisible by 8 is
Options: a. 910, b. 510, c. 611, d. 616, e. 810
Output: d
Problem: dropbox charges $ 3.10 for first 1 / 5 of a month for 500 gb storage, plus $ 0.40 for each additional 1 / 5 of a month. what would dropbox charge for a data storage of 500 gb for 8 months ?
Options: a. $ 15.60, b. $ 16.00, c. $ 17.80, d. $ 18.70, e. $ 19.10
Output: d
Problem: find the simple interest on rs. 72,000 at 16 2 / 3 % per year for 9 months.
Options: a. 7500, b. 6500, c. 9000, d. 9500, e. none of them
Output: c
Problem: if it would take one machine 20 minutes to fill a large production order and another machine 30 minutes to fill the same order, how many minutes would it take both machines working together, at their respective rates, to fill the order ?
Options: a. 10 min, b. 12 min, c. 15 min, d. 20 min, e. 18 min
Output: b
Problem: how many digits are required to number a book containing 220 pages ?
Options: a. 674, b. 604, c. 552, d. 372, e. 250
Output: c
Problem: a case of 12 rolls of paper towels sells for $ 9. the cost of one roll sold individually is $ 1. what is the percent w of savings per roll for the 12 - roll package over the cost of 12 rolls purchased individually ?
Options: a. 9 %, b. 11 %, c. 15 %, d. 25 %, e. 90 %
Output: d
Problem: the ratio between the number of sheep and the number of horses at the stewart farm is 5 to 7, if each horse is fed 230 ounces of horse food per day and the farm needs a total 12,880 ounces of horse food per day, what is the number of sheep in the farm ?
Options: a. 18, b. 28, c. 40, d. 56, e. 60
Output: c
Problem: a rectangular box of volume v has width, depth and height in the ratio of 2: 1: 3 ( in that order ). what is the height as a function of v ?
Options: ['a. ( v / 2 ) ^ ( 1 / 3 )', 'b. ( 2 v / 6 ) ^ ( 1 / 3 )', 'c. ( 9 v / 2 ) ^ ( 1 / 3 )', 'd. ( 4 v / 3 ) ^ ( 1 / 3 )', 'e. ( 4 v / 2 ) ^ ( 1 / 3 )']
Output: c
Problem: calculate the amount that an investor needs to be invest to earn $ 1005 in interest in 12 months if the investor plans to invest x dollars in a savings account that pays interest at an annual rate of 11 % compounded semi - annually ?
Options: a. 8000, b. 8100, c. 8900, d. 8600, e. 8400
Output: c
Problem: a reduction of 42 % in the price of bananas would enable a man to obtain 64 more for rs. 40, what is reduced price per dozen ?
Options: a. 2.15, b. 8.15, c. 7.15, d. 3.15, e. 1.15
Output: d
Problem: a train crosses a bridge of length 1500 m in 70 seconds and a lamp post on the bridge in 20 seconds. what is the length of the train in metres ?
Options: a. 375 m, b. 750 m, c. 250 m, d. 600 m, e. 300 m
Output: d
Problem: what will be the cost of building a fence around a square plot with area equal to 289 square feet, if the price per foot of building the fence is rs. 58 ?
Options: a. 3944, b. 3932, c. 3929, d. 3926, e. 3902
Output: a
Problem: for a race a distance of 224 meters can be covered by p in 28 seconds and q in 56 seconds. by what distance does p defeat q eventually ?
Options: a. 232 m, b. 224 m, c. 244 m, d. 231 m, e. 236 m
Output: b
Problem: points a, b, and, c have xy - coordinates ( 2,0 ), ( 8,12 ), and ( 14,0 ), respectively. points x, y, and z have xy - coordinates ( 6,0 ), ( 8,4 ), and ( 10,0 ), respectively. what fraction d of the area of triangle abc is the area of triangle xyz ?
Options: a. 1 / 9, b. 1 / 8, c. 1 / 6, d. 1 / 5, e. 1 / 3
Output: a
Problem: the dimensions of a field are 20 m by 10 m. a pit 8 m long, 5 m wide and 2 m deep is dug in one corner of the field and the earth removed has been evenly spread over the remaining area of the field. what will be the rise in the height of field as a result of this operation ?
Options: ['a. 1 m', 'b. 2 m', 'c. 0.5 m', 'd. 0.75 m', 'e. 1.5 m']
Output: c
Problem: the grade point average of the entire class is 90. if the average of one third of the class is 96, what is the average of the rest ?
Options: a. 92, b. 89, c. 88, d. 87, e. 86
Output: d
Problem: last year department store x had a sales total for december that was 6 times the average ( arithmetic mean ) of the monthly sales totals for january through november. the sales total for december was what fraction of the sales total for the year ?
Options: a. 6 / 17, b. 4 / 15, c. 1 / 3, d. 4 / 11, e. 4 / 5
Output: a
Problem: points a, b, and, c have xy - coordinates ( 2,0 ), ( 8,12 ), and ( 14,0 ), respectively. points x, y, and z have xy - coordinates ( 6,0 ), ( 8,4 ), and ( 10,0 ), respectively. what fraction c of the area of triangle abc is the area of triangle xyz ?
Options: ['a. 1 / 9', 'b. 1 / 8', 'c. 1 / 6', 'd. 1 / 5', 'e. 1 / 3']
Output: a
Problem: if x is the median of the set { 9 / 2, 11 / 3, x, 28 / 9, 21 / 5 }, x could be
Options: a. 16 / 5, b. 17 / 5, c. 4 / 7, d. 30 / 7, e. 4
Output: e
Problem: a can do a piece of work in 4 days. b can do it in 7 days. with the assistance of c they completed the work in 2 days. find in how many days can c alone do it ?
Options: a. 22 days, b. 28 / 3 days, c. 67 days, d. 17 / 5 days, e. 18 days
Output: b
Problem: how many integers from 101 to 200, inclusive, are divisible by 3 but not divisible by 7 ?
Options: a. 20, b. 25, c. 28, d. 30, e. 40
Output: c
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 30 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 50 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. 84, c. 132, d. 144, e. 180
Output: b
Problem: what is the remainder when 7 ^ 74 - 10 ^ 74 is divided by 24 ?
Options: a. 3, b. 1, c. 2, d. 0, e. none of these
Output: d
Problem: what least no. must be subtracted from 101054 so that remaining no. is divisible by 10 ?
Options: a. 6, b. 4, c. 8, d. 5, e. 3
Output: b
Problem: at what rate percent on simple interest will rs. 750 amount to rs. 900 in 8 years ?
Options: a. 6 %, b. 2.5 %, c. 4 %, d. 5 %, e. 3.5 %
Output: b
Problem: machine – x produces 50 % of the total output and machine - y produces 75 % of the total output. an average of 9 units out of a 1000 goods manufactured by machine - x and two unit of 500 units produced by machine - x prove to be defective. what is the probability that a unit chosen at random from the total daily output of the factory is defective ?
Options: a. 0.008, b. 0.1, c. 0.12, d. 0.006, e. 0.007
Output: d
Problem: what is the units digit of ( 5 ! * 4 ! + 6 ! * 5 ! ) / 2 ?
Options: a. 4, b. 3, c. 0, d. 1, e. 2
Output: c
Problem: find the cost of fencing around a circular field of diameter 22 m at the rate of rs. 2.50 a meter ?
Options: a. 188, b. 172, c. 278, d. 279, e. 222
Output: b
Problem: two cycles are standing side - by - side. one cycle, which is 2.5 feets tall, casts a shadow that is 5 feets long. the other cycle is 2 feets tall. compute, in feets, the length of the shadow that the shorter cycle casts.
Options: a. 3, b. 4, c. 6, d. 8, e. 10
Output: b
Problem: stacy has a 12 page history paper due in 12 days. how many pages per day would she have to write to finish on time ?
Options: a. 9, b. 8, c. 10, d. 1, e. 6
Output: d
Problem: a shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 10 % while buying and by 20 % while selling. what is his percentage profit ?
Options: a. 10.22 %, b. 20.22 %, c. 21.22 %, d. 10 %, e. ca n ' t be calculated
Output: d
Problem: on a two - dimensional coordinate plane, the line a = x ^ 2 - x ^ 3 touches the x - axis in how many places ?
Options: a. 0, b. 1, c. 2, d. 3, e. 4
Output: c
Problem: if the wages of 6 men for 15 days be rs. 2100, then find the wages of for 12 days.
Options: a. rs. 2420, b. rs. 2500, c. rs. 2520, d. rs. 2020, e. rs. 2650
Output: c
Problem: a technician makes a round - trip to and from a certain service center by the same route. if the technician completes the drive to the center and then completes 40 percent of the drive from the center, what percent of the round - trip has the technician completed ?
Options: a. 5 %, b. 70 %, c. 25 %, d. 40 %, e. 55 %
Output: b
Problem: what is the number of integers from 1 to 1000 ( inclusive. that are divisible by neither 11 nor by 35 ?
Options: a. 884, b. 890, c. 892, d. 910, e. 945
Output: a
Problem: convert the 15 / 36 m / s into kilometers per hour ?
Options: a. 1.7, b. 1.5, c. 1.3, d. 1.1, e. 1.2
Output: b
Problem: 3 positive integers a, b, and c are such that their average is 20 and a ≤ b ≤ c. if the median is ( a + 13 ), what is the least possible value of c ?
Options: a. 21, b. 22, c. 23, d. 24, e. 25
Output: e
Problem: if a certain coin is flipped, the probability that the coin will land heads is 1 / 2. if the coin is flipped 6 times, what is the probability that it will land heads up on the first 4 flips but not on the last 2 flips ?
Options: a. 1 / 8, b. 1 / 16, c. 1 / 32, d. 1 / 64, e. 1 / 128
Output: d
Problem: if n is a positive integer, what is the remainder when ( 6 ^ ( 4 n + 3 ) ) ( 6 ^ n ) is divided by 10 ?
Options: a. 7, b. 2, c. 4, d. 6, e. 8
Output: a
Problem: what number is 60 more than two - fourth of itself ?
Options: a. 180, b. 225, c. 288, d. 324, e. 336
Output: a
Problem: a man goes downstream at 10 kmph, and upstream 8 kmph. the speed of the stream is
Options: a. 0 kmph, b. 4 kmph, c. 1 kmph, d. 2.5 kmph, e. 26 kmph
Output: c
Problem: if shares of two persons in profits are rs. 600 and rs. 1000 then ratio of their capitals is
Options: a. 3: 5, b. 2: 3, c. 4: 3, d. 1: 3, e. 1: 2
Output: a
Problem: if a * b * c = ( √ ( a + 2 ) ( b + 3 ) ) / ( c + 1 ), find the value of 6 * 15 * 1.
Options: a. 8, b. 5, c. 2, d. 3, e. 4
Output: c
Problem: if 2 ^ 2 n + 2 ^ 2 n + 2 ^ 2 n + 2 ^ 2 n = 4 ^ 22, then n =
Options: a. 3, b. 6, c. 12, d. 23, e. 21
Output: e
Problem: a is the average ( arithmetic mean ) of the first 7 positive multiples of 5 and b is the median of the first 3 positive multiples of positive integer n. if the value of a ^ 2 – b ^ 2 is zero, what is the value of n ?
Options: a. 5, b. 6, c. 10, d. 15, e. 20
Output: c
Problem: length of a rectangular plot is 10 mtr more than its breadth. if the cost of fencin g the plot at 26.50 per meter is rs. 5300, what is the length of the plot in mtr ?
Options: a. 46 m, b. 55 m, c. 58 m, d. 78 m, e. 80 m
Output: b
Problem: 2 men and 4 women are lined up in a row. what is the number of cases where they stand with each other in turn ? ( the number of cases in which men ( or women ) do not stand next to each other )
Options: a. 12, b. 15, c. 18, d. 21, e. 48
Output: e
Problem: the sale price sarees listed for rs. 375 after successive discount is 20 % and 15 % is ?
Options: a. 227, b. 268, c. 342, d. 787, e. 285
Output: e
Problem: each day a man meets his wife at the train station after work, and then she drives him home. she always arrives exactly on time to pick him up. one day he catches an earlier train and arrives at the station an hour early. he immediately begins walking home along the same route the wife drives. eventually his wife sees him on her way to the station and drives him the rest of the way home. when they arrive home the man notices that they arrived 40 minutes earlier than usual. how much time did the man spend walking ?
Options: a. 45 minutes, b. 50 minutes, c. 40 minutes, d. 55 minutes, e. 35 minutes
Output: c
Problem: students at a school were on average 180 cm tall. the average female height was 170 cm, and the average male height was 184 cms. what was the ratio a of men to women ?
Options: a. 5: 2, b. 5: 1, c. 4: 3, d. 4: 1, e. 3: 1
Output: a
Problem: if ( 8000 ) ( 6000 ) = ( 480 ) ( 10 ^ y ), what is the value of y ?
Options: a. 5, b. 4, c. 3, d. 2, e. 1
Output: a
Problem: if ( 5 + k ) ( 5 - k ) = ( 5 ^ 2 ) - ( 2 ^ 3 ), then what is the value of k ?
Options: a. 1, b. 3, c. 4, d. 2, e. 6
Output: d
Problem: a train consists of 48 boxcars pulled by 2 engines. the boxcars are 15 meters long and the two engines are each 20 meters long. it crosses over a highway 24 meters wide at a speed of 14 m / s. how long does it take for the entire train to cross ?
Options: a. 56 sec, b. 63 sec, c. 72 sec, d. 81 sec, e. 88 sec
Output: a
Problem: the average age of 40 students in a class is 10 years. if teacher ' s age is also included then average increases 1 year then find the teacher ' s age ?
Options: a. 59, b. 55, c. 61, d. 51, e. 36
Output: d
Problem: a store reported total sales of $ 416 million for february of this year. if the total sales for the same month last year was $ 320 million, approximately what was the percent increase in sales ?
Options: a. 2 %, b. 17 %, c. 30 %, d. 65 %, e. 83 %
Output: c
Problem: the ratio of the radius of two circles is 2: 5, and then the ratio of their areas is ?
Options: a. 4: 25, b. 2: 9, c. 1: 9, d. 3: 7, e. 3: 4
Output: a
Problem: a, b and c start a business each investing 20,000. after 5 months a withdrew 5000, b withdrew 4000 and c invests 6000 more. at the end of the year, a total profit of 69,900 was recorded. find the share of b.
Options: a. 20,000, b. 21,200, c. 28,200, d. 20,500, e. none of these
Output: c
Problem: of the families in city x in 2000, 30 percent owned a personal computer. the number of families in city x owning a computer in 2004 was 20 percent greater than it was in 1994, and the total number of families in city x was 10 percent greater in 2004 than it was in 2000. what percent of the families in city x owned a personal computer in 1998 ?
Options: a. 55.42 %, b. 52.25 %, c. 56.23 %, d. 30.70 %, e. 32.72 %
Output: e
Problem: raman mixed 48 kg of butter at rs. 150 per kg with 36 kg butter at the rate of rs. 125 per kg. at what price per kg should he sell the mixture to make a profit of 40 % in the transaction ?
Options: a. 129, b. 287, c. 195, d. 188, e. 112
Output: c
Problem: how many odd factors does 460 have ?
Options: a. 3, b. 4, c. 5, d. 6, e. 8
Output: b
Problem: how many integers between 50 and 100 can be evenly divided by neither 3 nor 5 ?
Options: a. 24, b. 25, c. 26, d. 27, e. 28
Output: c
Problem: a certain high school has 500 students. of these students, 30 are taking music, 10 are taking art, and 10 are taking both music and art. how many students are taking neither music nor art ?
Options: a. 430, b. 440, c. 450, d. 460, e. 470
Output: e
Problem: in what time will a train 100 metres long cross an electric pole, if its speed be 144 km / hr ?
Options: a. 2.5 sec, b. 4.25 sec, c. 5 sec, d. 12.5 sec, e. none
Output: a
Problem: in a garden, there are 10 rows and 13 columns of mango trees. the distance between the two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden. the length of the garden is
Options: a. 20 m, b. 22 m, c. 24 m, d. 26 m, e. 28 m
Output: d
Problem: how many 3 - digit even numbers are possible such that if one of the digits is 3, the next / succeeding digit to it should be 7 ?
Options: a. 495, b. 305, c. 365, d. 405, e. 5
Output: e
Problem: a certain company reported that the revenue on sales increased 40 % from 2000 to 2003, and increased 70 % from 2000 to 2005. what was the approximate percent increase in revenue for this store from 2003 to 2005 ?
Options: a. 50 %, b. 40 %, c. 35 %, d. 32 %, e. 21 %
Output: e
Problem: a start walking from a place at a uniform speed of 4 kmph in a particular direction. after half an hour, b starts from the same place and walks in the same direction as a at a uniform speed and overtakes a after 1 hour 48 minutes. find the speed of b.
Options: a. 4.7 kmph, b. 4.6 kmph, c. 4 kmph, d. 7 kmph, e. 5.3 kmph
Output: b
Problem: due to construction, the speed limit along an 9 - mile section of highway is reduced from 55 miles per hour to 40 miles per hour. approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ?
Options: a. a. 5.61, b. b. 3.69, c. c. 10, d. d. 15, e. e. 24
Output: b
Problem: how many figures are required to number the pages the pages of a book containing 2200 pages ?
Options: a. 7593, b. 6693, c. 7693, d. 7793, e. 7893
Output: c
Problem: there are two cars. one is 100 miles north of the other. simultaneously, the car to the north is driven westward at 10 miles per hour and the other car is driven eastward at 15 miles per hour. how many miles apart are the cars after 3 hours ?
Options: a. 125, b. 150, c. 200, d. 225, e. 250
Output: a
Problem: what decimal fraction is 90 ml of a litre ?
Options: a.. 9, b.. 009, c.. 09, d. 0.09, e. none of these
Output: c
Problem: what is the smallest integer k for which 64 ^ k > 4 ^ 20 ?
Options: a. 4, b. 5, c. 6, d. 7, e. 8
Output: d
Problem: a cyclist traveled for two days. on the second day the cyclist traveled 4 hours longer and at an average speed 10 mile per hour slower than she traveled on the first day. if during the two days she traveled a total of 210 miles and spent a total of 12 hours traveling, what was her average speed on the second day ?
Options: a. 5 mph, b. 10 mph, c. 20 mph, d. 30 mph, e. 40 mph
Output: d
Problem: a cistern 8 m long and 4 m wide contains water up to a depth of 1 m 25 cm. the total area of the wet surface is :
Options: a. 62 m 2, b. 50 m 2, c. 53.5 m 2, d. 55 m 2, e. 57 m 2
Output: a
Problem: if 2994 ã · 14.5 = 179, then 29.94 ã · 1.45 = ?
Options: a. 17.1, b. 17.3, c. 17.5, d. 17.7, e. 17.9
Output: e
Problem: ( √ 27 + √ 243 ) / √ 75 = ?
Options: a. 2 √ 2, b. 2 √ 3, c. 3 √ 2, d. 3 √ 3, e. 12 / 5
Output: e
Problem: a set s = { x, - 8, - 7, - 6, 6, 8, 9, y } with elements arranged in increasing order. if the median and the mean of the set are the same, what is the value of | x | - | y | ?
Options: a. 1, b. 0, c. 2, d. - 1, e. can not be determined
Output: c
Problem: two trains, one from howrah to patna and the other from patna to howrah, start simultaneously. after they meet, the trains reach their destinations after 10 hours and 8 hours respectively. the ratio of their speeds is
Options: a. 4: 9, b. 4: 3, c. 4: 12, d. 4: 8, e. 4: 5
Output: e
Problem: in a certain pond, 50 fish were caught, tagged, and returned to the pond. a few days later, 50 fish were caught again, of which 8 were found to have been tagged. if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond ?
Options: a. 400, b. 625, c. 1,250, d. 2,500, e. 312
Output: e
Problem: what is the sum of the digits of integer k, if k = ( 10 ^ 45 - 46 )
Options: a. 356, b. 366, c. 363, d. 396, e. 408
Output: d
Problem: if 5 a = 3125, then the value of 5 ( a - 3 ) is :
Options: a. 25, b. 125, c. 625, d. 1625, e. none of these
Output: a
Problem: in an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. if he attempts all 60 questions and secures 130 marks, the no of questions he attempts correctly is :
Options: a. 33, b. 38, c. 99, d. 27, e. 71
Output: b
Problem: there are 27 different 3 - digit integers that can be formed using only the digits 3, 4 and 5. if all 27 of the integers were listed, what would their sum be ?
Options: a. 11,888, b. 11,988, c. 12,088, d. 12,188, e. 12,288
Output: b
Problem: if f ( x ) = 12 - x ^ 2 / 2 and f ( 2 k ) = 4 k, what is one possible value for k ?
Options: a. 2, b. 3, c. 4, d. 6, e. 8
Output: c
Problem: what is the units digit of 2222 ^ ( 555 ) * 3333 ^ ( 222 ) ?
Options: a. 0, b. 2, c. 4, d. 6, e. 8
Output: b
Problem: a is half good a work man as b and together they finish a job in 20 days. in how many days working alone b finish the job ?
Options: a. 98 days, b. 30 days, c. 17 days, d. 18 days, e. 19 days
Output: b
Problem: what is the value of n if the sum of the consecutive odd intergers y from 1 to n equals 169 ?
Options: a. 47, b. 25, c. 37, d. 33, e. 29
Output: b
Problem: if log 4 x + log 4 ( 1 / 6 ) = 1 / 2 then the value of x is ?
Options: a. 18, b. 24, c. 16, d. 12, e. 10
Output: d
Problem: what quantity of water should taken out to concentrate 27 liters of 40 % acidic liquid to 60 % acidic liquid ?
Options: a. 5 liters, b. 10 liters, c. 15 liters, d. 9 liters, e. 6 liters
Output: d
Problem: marts income is 30 percent more than tims income and tims income is 40 percent less than juans income. what percentage of juans income is marts income
Options: a. 124 %, b. b. 120 %, c. c. 78 %, d. d. 80 %, e. e. 64 %
Output: c
Problem: there is a 5 - digit number. the fifth digit is one fourth of the third digit and one half of the fourth digit. third digit is one half of the first digit. second digit is 5 more than the fifth digit. what is that 5 - digit number ?
Options: a. 86421, b. 86424, c. 89421, d. 96421, e. 76421
Output: a
Problem: what is the tens digit of 6 ^ 10 ?
Options: a. 7, b. 3, c. 5, d. 1, e. 9
Output: a
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. 840. find the sum ?
Options: a. 7000, b. 2787, c. 2799, d. 2699, e. 2790
Output: a
Problem: for any number z, z * is defined as the greatest positive even integer less than or equal to y. what is the value of 6.15 – 6.15 * ?
Options: a. 1.5, b. 0.15, c. 6.25, d. 0.25, e. 6.0
Output: b
Problem: when positive integer x is divided by positive integer y, the remainder is 9. if x / y = 96.15, what is the value of y ?
Options: a. 96, b. 60, c. 48, d. 25, e. 12
Output: b
Problem: the cost of the paint is rs. 40.00 per kg. if 1 kg of paint covers 20 sq. ft, how much will it cost to paint outside of a cube having 10 feet each side
Options: a. rs. 1200, b. rs. 672, c. rs. 546, d. rs. 876, e. none of these
Output: a
Problem: what is the perimeter of a rectangular field whose diagonal is 10 m and length is 3 m ?
Options: ['a. 12 m', 'b. 5 m', 'c. 10 m', 'd. 8 m', 'e. 6 m']
Output: d
Problem: cereal a is 10 % sugar by weight, whereas healthier but less delicious cereal b is 2 % sugar by weight. to make a delicious and healthy mixture that is 3 % sugar, what should be the ratio of cereal a to cereal b, by weight ?
Options: a. 2: 9, b. 2: 7, c. 1: 7, d. 1: 4, e. 1: 3
Output: c
Problem: a man can row at 5 kmph in still water. if the velocity of current is 3 kmph and it takes him 1 hour to row to a place and come back, how far is the place ?
Options: a. 2.4 km, b. 2.9 km, c. 3.4 km, d. 4.4 km, e. 1.6 km
Output: e
Problem: a 120.00001 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. what is the length of the other train ?
Options: a. 220 meter, b. 225 meter, c. 380 meter, d. 435 meter, e. none of these
Output: c
Problem: the ratio between the length and the breadth of a rectangular plot is 7: 5. if the perimeter of the plot is 288 metres, what is its area ?
Options: ['a. 1320 sq. metres', 'b. 3260 sq. metres', 'c. 4280 sq. metres', 'd. 5040 sq. metres', 'e. none of these']
Output: d
Problem: during the first two weeks of january, the total rainfall in springdale was 20 inches. if the rainfall during the second week was 1.5 times the rainfall during the first week, what was the rainfall during the second week of january ?
Options: a. 5 inches, b. 6 inches, c. 9 inches, d. 10 inches, e. 12 inches
Output: e
Problem: the set s consists of 5 numbers: { 1, 2,3, 4,5 }. if all possible subsets including the null set are created and one subset is chosen at random, what is the probability that the subset has 3 or 4 as its largest number ?
Options: a. 3 / 4, b. 3 / 8, c. 3 / 16, d. 5 / 16, e. 3 / 32
Output: b
Problem: an exam consists of 8 true / false questions. brian forgets to study, so he must guess blindly on each question. if any score above 80 % is a passing grade, what is the probability that brian passes ?
Options: a. 1 / 16, b. 37 / 256, c. 1 / 2, d. 219 / 256, e. 125 / 256
Output: e
Problem: in a certain animal population, for each of the first 3 months of life, the probability that an animal will die during that month is 1 / 4. for a group of 200 newborn members of the population, approximately how many would be expected to survive the first 3 months of life ?
Options: a. 40, b. 46, c. 52, d. 62, e. 85
Output: e
Problem: how many 4 digit numbers are there, if it is known that the first digit is even, the second is odd, the third is prime, the fourth ( units digit ) is divisible by 4, and the digit 2 can be used only once ?
Options: a. 20, b. 150, c. 225, d. 300, e. 320
Output: c
Problem: a salesman sold twice as much pears in the afternoon than in the morning. if he sold $ 390 kilograms of pears that day, how many kilograms did he sell in the afternoon ?
Options: a. 120, b. 180, c. 260, d. 280, e. 320
Output: c
Problem: if a randomly selected positive single digit multiple of 3 is multiplied by a randomly selected prime number less than 20, what is the probability q that this product will be a multiple of 45 ?
Options: a. 1 / 32, b. 1 / 28, c. 1 / 24, d. 1 / 16, e. 1 / 14
Output: c
Problem: a certain high school has 500 students. of these students, 20 are taking music, 20 are taking art, and 10 are taking both music and art. how many students are taking neither music nor art ?
Options: a. 430, b. 440, c. 450, d. 460, e. 470
Output: e
Problem: a courier charges for packages to a certain destination are 65 cents for the first 250 grams and 10 cents for each additional 100 grams or part thereof. what could be the weight in grams of a package for which the charge is $ 2.15 ?
Options: a. 980, b. 1120, c. 1260, d. 1420, e. 1670
Output: e
Problem: if rs. 7500 are borrowed at c. i at the rate of 4 % per annum, then after 1 year the amount to be paid is ?
Options: a. 3377, b. 2688, c. 2688, d. 7800, e. 1268
Output: d
Problem: a shopkeeper buys mangoes at the rate of 7 a rupee and sells them at 5 a rupee. find his net profit or loss percent ?
Options: a. 40 %, b. 90 %, c. 33 %, d. 35 %, e. 30 %
Output: a
Problem: the difference between a number and its two - fifth is 510. what is 12 % of that number ?
Options: a. 58, b. 110, c. 76, d. 102, e. 86
Output: d
Problem: a car gets 24 miles to the gallon. if it is modified to use a solar panel, it will use only 75 percent as much fuel as it does now. if the fuel tank holds 12 gallons, how many more miles will the car be able to travel, per full tank of fuel, after it has been modified ?
Options: a. 96, b. 100, c. 104, d. 108, e. 112
Output: a
Problem: the h. c. f. of two numbers is 15 and the other two factors of their l. c. m. are 11 and 15. the larger of the two numbers is :
Options: a. 225, b. 300, c. 299, d. 322, e. 345
Output: a
Problem: in a dance competition the points in each round for the first, second, third and fourth position were 10050, 2010. no other points were given. ashita participated in several rounds in the competition and the product of her score was 50000. in how many rounds did she participate ?
Options: a. 3, b. 2, c. 1, d. 5, e. can not be determined
Output: e
Problem: a metallic sheet is of rectangular shape with dimensions 46 m x 36 m. from each of its corners, a square is cut off so as to make an open box. if the length of the square is 8 m, the volume of the box ( in m 3 ) is :
Options: a. 4830, b. 5120, c. 6420, d. 4800, e. 8960
Output: d
Problem: in an election between two candidates, one got 60 % of the total valid votes, 30 % of the votes were invalid. if the total number of votes was 9000, the number of valid votes that the other candidate got, was :
Options: a. 2500, b. 2520, c. 3000, d. 3100, e. none of these
Output: b
Problem: on a certain road, 10 % of the motorists exceed the posted speed limit and receive speeding tickets, but 20 % of the motorists who exceed the posted speed limit do not receive speeding tickets. what percent of the motorists on that road exceed the posted speed limit ?
Options: a. 10.5 %, b. 12.5 %, c. 15 %, d. 22 %, e. 30 %
Output: b
Problem: x and y are two towns. ganesh covers the distance from x to y at an average speed of 60 km / hr. however, he covers the distance from y to x at an average speed of 30 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: c
Problem: a drink vendor has 20 liters of maaza, 144 liters of pepsi and 368 liters of sprite. he wants to pack them in cans, so that each can contains the same number of liters of a drink, and does n ' t want to mix any two drinks in a can. what is the least number of cans required ?
Options: a. 135, b. 137, c. 142, d. 130, e. 133
Output: e
Problem: jonathan can type a 40 page document in 40 minutes, susan can type it in 30 minutes, and jack can type it in 24 minutes. working together, how much time will it take them to type the same document ?
Options: a. 5 minutes, b. 10 minutes, c. 15 minutes, d. 18 minutes, e. 20 minutes
Output: b
Problem: find the least number must be subtracted from 62575 so that remaining number is divisible by 99.
Options: a. 93, b. 7, c. 54, d. 9, e. 6
Output: b
Problem: a man is 12 years older than his brother. in two years, his age will be twice the age of his brother. the present age of his brother is :
Options: a. 10, b. 21, c. 22, d. 23, e. 24
Output: a
Problem: a certain mixture of nuts consists of 5 parts almonds to 2 parts walnuts, by weight. what is the number of pounds of almonds in 280 pounds of the mixture ?
Options: a. 200, b. 84, c. 40, d. 28, e. 20
Output: a
Problem: how many 4 - digit numbers that do not contain the digits 2, 3, 4, 5, 6, or 7 are there ?
Options: a. 168, b. 176, c. 184, d. 192, e. 200
Output: d
Problem: how many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm ?
Options: a. 5600, b. 6000, c. 6400, d. 7200, e. none
Output: c
Problem: the average weight of 6 person ' s increases by 1.8 kg when a new person comes in place of one of them weighing 69 kg. what might be the weight of the new person ?
Options: a. 73 kg, b. 79.8 kg, c. 86 kg, d. data inadequate, e. none of these
Output: b
Problem: a man took a loan at rate of 12 % per annum simple interest. after 3 years he had to pay 7200 interest. the principal amount borrowed by him was.
Options: a. rs 14000, b. rs 15000, c. rs 16000, d. rs 20000, e. none of these
Output: d
Problem: a certain company retirement plan has arule of 70 provision that allows an employee to retire when the employee ' s age plus years of employment with the company total at least 70. in what year could a female employee hired in 1986 on her 30 nd birthday first be eligible to retire under this provision ?
Options: a. 2003, b. 2004, c. 2005, d. 2006, e. 2007
Output: d
Problem: i had rs. 10000 with me. out of this, money i lent some money to a for 2 years at 15 % simple interest. i lent the remaining money to b for an equal number of years at 18 % simple interest. after 2 years, i found that a had given me rs. 360 more as interest as compared to ( b. the amount of money which i had lent to b must have been
Options: a. 2000, b. 3000, c. 4000, d. 5000, e. 6000
Output: c