[User]
the ratio of the volumes of two cubes is 125 : 216. what is the ratio of their total surface areas?
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[Assistant] 13 : 18

[User]
the average weight of d, e and f is 42 kg. if the average weight of d and e be 35 kg and that of e and f be 41 kg, what is the weight of e?
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[Assistant] 26 kg

[User]
two trains 121 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 75 km and the other at the rate of 65 kmph. in what time will they be completely clear of each other from the moment they meet?
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[Assistant] 7.35

[User]
find the smallest number which when divided by 12 and 15 leaves respective remainders of 8 and 11.
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[Assistant] 56

[User]
a merchant marks his goods up by 20 % and then offers a discount of 10 % on the marked price. what % profit does the merchant make after the discount?
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[Assistant] 8 %


[User]
a batsman in his 20 th innings makes a score of 90, and thereby increases his average by 2. what is his average after the 20 th innings? he had never been ’ not out ’.
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[Assistant] 52

[User]
s ( n ) is a n - digit number formed by attaching the first n perfect squares, in order, into one integer. for example, s ( 1 ) = 1, s ( 2 ) = 14, s ( 3 ) = 149, s ( 4 ) = 14916, s ( 5 ) = 1491625, etc. how many digits are in s ( 99 )?
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[Assistant] 353

[User]
the h. c. f. of two numbers is 23 and the other two factors of their l. c. m. are 10 and 12. the larger of the two numbers is :
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[Assistant] 276

[User]
how many figures are required to number the pages the pages of a book containing 1210 pages?
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[Assistant] 3733

[User]
the average weight of a, b and c is 75 kg. if the average weight of a and b be 88 kg and that of b and c be 72 kg, then the weight of b is :
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[Assistant] 63 kg


[User]
a and b are mixed together in the ratio 9 : 11. what is the weight of mixture, if 26.1 kg of a has been consumed in it?
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[Assistant] 58

[User]
find the constant k so that : - x 2 - ( k + 12 ) x - 8 = - ( x - 2 ) ( x - 4 )
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[Assistant] 18

[User]
last year, company x paid out a total of $ 1, 050,000 in salaries to its 31 employees. if no employee earned a salary that is more than 20 % greater than any other employee, what is the lowest possible salary that any one employee earned?
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[Assistant] $ $ 28, 378.37

[User]
if n is a positive integer and the product of all integers from 1 to n, inclusive, is a multiple of 350, what is the least possible value of n?
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[Assistant] 7

[User]
the duplicate ratio of 2 : 3 is?
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[Assistant] 4 : 9


[User]
the water level in a rectangular swimming pool measuring 40 feet by 25 feet is to be lowered by 6 inches. how many gallons of water must be removed? ( 1 cu ft = 7.5 gallons )
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[Assistant] 3750

[User]
3 maths classes : a, b and c take an algebra test. the average score of class a is 83. the average score of class b is 76. the average score of class c is 85. the average score of class a and b is 79 and average score of class b and c is 81. what is the average score of classes a, b, c?
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[Assistant] 81.5

[User]
at a certain resort, each of the 39 food service employees is trained to work in a minimum of 1 restaurant and a maximum of 3 restaurants. the 3 restaurants are the family buffet, the dining room, and the snack bar. exactly 19 employees are trained to work in the family buffet, 18 are trained to work in the dining room, and 12 are trained to work in the snack bar. if 4 employees are trained to work in exactly 2 restaurants, how many employees are trained to work in all 3 restaurants?
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[Assistant] 3

[User]
the volume of a cube is 1728 cc. find its surface.
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[Assistant] 864

[User]
the length of rectangle is thrice its breadth and its perimeter is 40 m, find the area of the rectangle?
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[Assistant] 75


[User]
how many pieces of 75 cm can be cut from a rope 45 meters long?
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[Assistant] 60

[User]
in what ratio mental a at rs. 68 per kg be mixed with another metal at rs. 96 per kg so that cost of alloy ( mixture ) is rs. 75 per kg?
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[Assistant] 3 : 1

[User]
a shopkeeper fixes the marked price of an item 30 % above its cost price. the percentage of discount allowed to gain 6 % is
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[Assistant] 18.46 %

[User]
the product of two numbers is 120 and the sum of their squares is 289. find the sum?
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[Assistant] 23

[User]
find the sum of first 26 natural numbers
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[Assistant] 351


[User]
x + ( 1 / x ) = 3 find x ^ 2 + ( 1 / x ^ 2 )
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[Assistant] 7

[User]
a certain debt will be paid in 52 installments from january 1 to december 31 of a certain year. each of the first 8 payments is to be $ 410 ; each of the remaining payments is to be $ 65 more than each of the first 8 payments. what is the average ( arithmetic mean ) payment that will be made on the debt for the year?
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[Assistant] 465

[User]
the sum of the fourth and twelfth term of an arithmetic progression is 20. what is the sum of the first 20 terms of the arithmetic progression?
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[Assistant] 200

[User]
a alone can finish a work in 10 days which b alone can finish in 15 days. if they work together and finish it, then out of a total wages of rs. 3100, a will get :
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[Assistant] rs. 1860

[User]
crazy eddie has a key chain factory. eddie managed to decrease the cost of manufacturing his key chains while keeping the same selling price, and thus increased the profit from the sale of each key chain from 40 % of the selling price to 50 % of the selling price. if the manufacturing cost is now $ 50, what was it before the decrease?
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[Assistant] $ 60


[User]
while driving from a - ville to b - town, harriet drove at a constant speed of 110 kilometers per hour. upon arriving in b - town, harriet immediately turned and drove back to a - ville at a constant speed of 140 kilometers per hour. if the entire trip took 5 hours, how many minutes did it take harriet to drive from a - ville to b - town?
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[Assistant] 168

[User]
if the average of 1, 2, 4, 5, 6, 9, 9, 10, 12 and x is 7, what is the value of x?
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[Assistant] 12

[User]
a jogger running at 9 km / hr along side a railway track is 200 m ahead of the engine of a 200 m long train running at 45 km / hr in the same direction. in how much time will the train pass the jogger?
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[Assistant] 40

[User]
yesterday's closing prices of 2,200 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?
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[Assistant] 1,200

[User]
two goods trains each 680 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?
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[Assistant] 65.28


[User]
mike needs 30 % to pass. if he scored 212 marks and falls short by 25 marks, what was the maximum marks he could have got?
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[Assistant] 790

[User]
if r is the least positive integer that is divisible by every integer from 12 to 16 inclusive, then r / 13 is =
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[Assistant] 1680

[User]
a number is selected at random from the first 30 natural numbers. what is the probability that the number is a multiple of either 5 or 12?
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[Assistant] 4 / 15

[User]
an aeroplane covers a certain distance of 420 kmph in 6 hours. to cover the same distance in 4 2 / 3 hours, it must travel at a speed of?
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[Assistant] 540 km

[User]
for what value of x between − 5 and 5, inclusive, is the value of x ^ 2 − 10 x + 16 the greatest?
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[Assistant] − 5


[User]
what profit percent is made by selling an article at a certain price, if by selling at 2 / 3 rd of that price, there would be a loss of 15 %?
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[Assistant] 27.5 %

[User]
a boat running up stram takes 5 hours to cover a certain distance, while it takes 8 hours to cover the same distance running down stream. what is the ratio between the speed of the boat and the speed of water current respectively?
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[Assistant] 13 : 3

[User]
machine p and machine q are each used to manufacture 880 sprockets. it takes machine p 10 hours longer to produce 880 sprockets than machine q. machine q produces 10 % more sprockets per hour than machine a. how many sprockets per hour does machine a produce?
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[Assistant] 8

[User]
what is the average of 1200, 1300, 1400, 1510, 1520, 1530, and 1200?
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[Assistant] 1380

[User]
if w is 40 percent less than q, q is 40 percent less than y, and z is 46 percent less than y, then z is greater than w by what percent of w?
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[Assistant] 50 %


[User]
a man rows his boat 70 km downstream and 45 km upstream, taking 2 1 / 2 hours each time. find the speed of the stream?
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[Assistant] 5 kmph

[User]
a train passes a station platform in 48 sec and a man standing on the platform in 40 sec. if the speed of the train is 36 km / hr. what is the length of the platform?
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[Assistant] 80

[User]
a particular store purchased a stock of turtleneck sweaters and marked up its cost by 20 %. during the new year season, it further marked up its prices by 25 % of the original retail price. in february, the store then offered a discount of 12 %. what was its profit on the items sold in february?
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[Assistant] 32 %

[User]
a, b and c enter into partnership. a invests some money at the beginning, b invests double the amount after 6 months, and c invests thrice the amount after 8 months. if the annual gain be rs. 18600. a's share is?
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[Assistant] 6200

[User]
a student took 5 papers in an examination, where the full marks were the same for each paper. his marks in these papers were in the proportion of 5 : 6 : 7 : 8 : 9. in all papers together, the candidate obtained 60 % of the total marks. then the number of papers in which he got more than 50 % marks is
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[Assistant] 5


[User]
if x ¤ y = ( x + y ) ^ 2 - ( x - y ) ^ 2. then √ 6 ¤ √ 6 =
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[Assistant] 24

[User]
an investment yields an interest payment of $ 240 each month. if the simple annual interest rate is 9 %, what is the amount of the investment?
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[Assistant] $ 32,000

[User]
the inner circumference of a circular race track, 14 m wide, is 440 m. find radius of the outer circle?
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[Assistant] 84

[User]
the average speed of a car is 1 4 / 5 times the avg speed of a bike. a tractor covers 575 km in 25 hrs. how much distance will the car cover in 4 hrs if the speed of the bike is twice speed of the tractor?
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[Assistant] 331.2 km

[User]
there are 56 lights which are functional and each is controlled by a separate on / off switch. two children x and y start playing with the switches. x starts by pressing every third switch till he reaches the end. y, thereafter, presses every fifth switch till he too reaches the end. if all switches were in off position at the beggining, how many lights are switched on by the end of this operation?
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[Assistant] 17


[User]
how many multiples of 5 are there between 5 to 95?
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[Assistant] 17

[User]
the difference between the local value and face value of 7 in the numeral 657903 is :
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[Assistant] 6993

[User]
find the value of b from ( 15 ) ^ 2 x 9 ^ 2 ã · 356 = b.
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[Assistant] 51.2

[User]
an order was placed for a carpet whose length and width were in the ratio of 3 : 2. subsequently, the dimensions of the carpet were altered such that its length and width were in the ratio 1 : 1 but were was no change in its perimeter. what is the ratio of the areas of the carpets?
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[Assistant] 24 : 25

[User]
how many cuboids of length 5 m, width 2 m and height 3 m can be farmed from a cuboid of 18 m length, 15 m width and 2 m height.
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[Assistant] 18


[User]
36 men can complete a piece of work in 18 days. in how many days will 81 men complete the same work?
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[Assistant] 8

[User]
simplify : 0.2 * 0.4 + 0.6 * 0.8
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[Assistant] 0.56

[User]
what is 0.05 percent of 12,356?
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[Assistant] 6.178

[User]
15 lts are taken of from a container full of liquid a and replaced with liquid b. again 15 more lts of the mixture is taken and replaced with liquid b. after this process, if the container contains liquid a and b in the ratio 9 : 16, what is the capacity of the container s?
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[Assistant] c : 37.5

[User]
a 20 litre mixture of milk and water contains milk and water in the ratio 3 : 2. 10 litres of the mixture is removed and replaced with pure milk and the operation is repeated once more. at the end of the two removal and replacement, what is the ratio e of milk and water in the resultant mixture?
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[Assistant] 9 : 1


[User]
an article is bought for rs. 800 and sold for rs. 1200, find the loss percent?
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[Assistant] 50 %

[User]
when greenville state university decided to move its fine arts collection to a new library, it had to package the collection in 20 - inch by 20 - inch by 15 - inch boxes. if the university pays $ 0.50 for every box, and if the university needs 3.06 million cubic inches to package the collection, what is the minimum amount the university must spend on boxes?
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[Assistant] $ 255

[User]
diana works 10 hours per day on monday, wednesday and friday, and 15 hours per day on tuesday and thursday. she does not work on saturday and sunday. she earns $ 1800 per week. how much does she earn in dollars per hour?
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[Assistant] 30

[User]
a car travels at a speed of 65 miles per hour. how far will it travel in 8 hours?
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[Assistant] 520 miles

[User]
the mean of 50 observations was 36. it was found later that an observation 30 was wrongly taken as 23. the corrected new mean is :
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[Assistant] 36.14


[User]
a, b and c invest in the ratio of 3 : 4 : 5. the percentage of return on their investments are in the ratio of 6 : 5 : 4. find the total earnings, if b earns rs. 200 more than a :
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[Assistant] 5800

[User]
the average of first 14 even numbers is?
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[Assistant] 15

[User]
for what values of k will the pair of equations 4 ( 3 x + 4 y ) = 48 and kx + 12 y = 30 does not have a unique solution?
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[Assistant] 9

[User]
the sector of a circle has radius of 21 cm and central angle 120 o. find its perimeter?
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[Assistant] 86 cm

[User]
how many different positive integers are factors of 40?
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[Assistant] 6


[User]
a couple married in 1980 had two children, one in 1982 and the other in 1984. their combined ages will equal the years of the marriage in?
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[Assistant] 1986

[User]
find the expenditure on digging a well 14 m deep and of 3 m diameter at rs. 19 per cubic meter?
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[Assistant] 1881

[User]
at an election 2 candidates are participated and a candidate got 45 % of votes and defeated by 9000. and 83 votes are invalid. find the total polled votes?
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[Assistant] 90083

[User]
after working for 6 days, david was joined by moore. together they completed the remaining job in 3 days. how many days will it take both of them to complete the entire job, given that it would have taken david 12 days to complete the job alone?
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[Assistant] 6

[User]
how long does a train 110 m long running at the speed of 54 km / hr takes to cross a bridge 132 m length?
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[Assistant] 16.13 sec


[User]
by selling an article at rs. 800, a shopkeeper makes a profit of 25 %. at what price should he sell the article so as to make a loss of 35 %?
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[Assistant] 416

[User]
the average weight of 8 people increases by 2.5 kg when a new person comes in place of one of them weighing 55 kg. what is the weight of the new person?
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[Assistant] 75 kg

[User]
the length of a rectangular plot is 10 mtr more than its width. the cost of fencing the plot along its perimeter at the rate of rs. 6.5 mtr is rs. 910. the perimeter of the plot is?
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[Assistant] 140

[User]
what is the least number which should be added to 5432 so that the sum is exactly divisible by 5, 6, 4, and 3?
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[Assistant] 28

[User]
two airplanes take off from one airfield at noon. one flies due east at 203 miles per hour while the other flies directly northeast at 283 miles per hour. approximately how many miles apart are the airplanes at 2 p. m.?
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[Assistant] 406


[User]
a man can swim in still water at 6 km / h, but takes twice as long to swim upstream than downstream. the speed of the stream is?
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[Assistant] 2

[User]
the population of a town is 10000. it increases annually at the rate of 20 % p. a. what will be its population after 4 years?
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[Assistant] 20730

[User]
a certain roller coaster has 4 cars, and a passenger is equally likely to ride in any 1 of the 4 cars each time that passenger rides the roller coaster. if a certain passenger is to ride the roller coaster 4 times, what is the probability that the passenger will ride in each of the 4 cars?
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[Assistant] 3 / 32

[User]
what will be the ratio between the area of a rectangle and the area of a triangle with one of the sides of rectangle as base and a vertex on the opposite side of rectangle.
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[Assistant] 2 : 1

[User]
the average age of a, b and c is 25 years. if the average age of a and c is 29 years, what is the age of b in years?
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[Assistant] 17


[User]
in a college the ratio of the numbers of boys to the girls is 8 : 5. if there are 175 girls, the total number of students in the college is?
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[Assistant] 455

[User]
i spend 40 hours a week ( 5 days ) at work and like to organize my time so that i spend an equal number of hours on the two tasks i currently have. currently, i am spending 5 hours a day on task 1 and 3 on task 2. how many hours a week less do i need to spend on task 1 in order to evenly distribute my time?
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[Assistant] 5

[User]
what is the greatest of 3 consecutive integers whose sum is 27?
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[Assistant] 11

[User]
a pharmaceutical company received $ 5 million in royalties on the first $ 20 million in sales of and then $ 10 million in royalties on the next $ 108 million in sales. by approximately what percentage did the ratio of royalties to sales decrease from the first $ 20 million in sales to the next $ 108 million in sales?
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[Assistant] 26 %

[User]
peter brought a scooter for a certain sum of money. he spent 10 % of the cost on repairs and sold the scooter for a profit of $ 1100. how much did he spend on repairs if he made a profit of 20 %?
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[Assistant] 500


[User]
10 people can write 55 book in 12 days working 8 hour a day. then in how many day 198 can be written by 48 people?
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[Assistant] 9

[User]
a train 200 m long passes a man, running at 5 km / hr in the same direction in which the train is going, in 10 seconds. the speed of the train is :
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[Assistant] 77 km / hr

[User]
to fill a tank, 200 buckets of water is required. how many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to four - fifths of its present?
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[Assistant] 250

[User]
if the cost price of 19 articles is equal to the selling price of 16 articles, what is the percentage of profit or loss that the merchant makes?
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[Assistant] 18.75 % profit

[User]
the mean of 40 observations was 100. it was found later that an observation 50 was wrongly taken as 75 the corrected new mean is
Answer the question using a single word or phrase.

[Assistant] 99.375


[User]
the entrance fee for a fair is $ 5 for persons under the age of 18, and 20 % more for persons older. each ride at the fair costs $ 0.50. if joe goes with her 6 years old twin brothers, and they each took 3 rides in total. how much money does joe end up spending at the fair?
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[Assistant] 20.5

[User]
in the manufacture of a certain product, 7 percent of the units produced are defective and 5 percent of the defective units are shipped for sale. what percent of the units produced are defective units that are shipped for sale?
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[Assistant] 0.35 %

[User]
a bag contains 6 red, 5 blue and 2 green balls. if 2 ballsare picked at random, what is the probability that both are red?
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[Assistant] 5 / 26

[User]
if 1488 / 1.24 = 1200, then 148.8 / 12.4 is equal to?
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[Assistant] 12

[User]
the cross - section of a cannel is a trapezium in shape. if the cannel is 6 m wide at the top and 4 m wide at the bottom and the area of cross - section is 10290 sq m, the depth of cannel is?
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[Assistant] 258


[User]
a girl scout was selling boxes of cookies. in a month, she sold both boxes of chocolate chip cookies ( $ 1.25 each ) and boxes of plain cookies ( $ 0.75 each ). altogether, she sold 1,585 boxes for a combined value of $ 1, 586.25. how many boxes of plain cookies did she sell?
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[Assistant] 790

[User]
in what ratio p : q should the mixture p of milk and water in the ratio of 5 : 4 be mixed with another mixture q of milk and water in the ratio 2 : 7 so that the resultant mixture contains equal quantities of milk and water?
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[Assistant] 5 : 1

[User]
a certain company expects quarterly earnings of $ 0.80 per share of stock, half of which will be distributed as dividends to shareholders while the rest will be used for research and development. if earnings are greater than expected, shareholders will receive an additional $ 0.04 per share for each additional $ 0.10 of per share earnings. if quarterly earnings are $ 1.10 per share, what will be the dividend paid to a person who owns 500 shares of the company's stock?
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[Assistant] $ 260

[User]
the positive integers s and t leave remainders of 2 and 3, respectively, when divided by 6. s > t. what is the remainder when s – t is divided by 6?
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[Assistant] 5

[User]
what is the remainder when 9 ^ 381 is divided by 5?
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[Assistant] 4


[User]
the sum of ages of 5 children born 2 years different each is 40 years. what is the age of the elder child?
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[Assistant] 12

[User]
find large number from below question the difference of two no. is 1365. on dividing the larger no. by the smaller, we get 6 as quotient and the 15 as remainder?
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[Assistant] 1635

[User]
the compound interest earned by sunil on a certain amount at the end of two years at the rate of 4 % p. a. was rs. 326.40. find the total amount that sunil got back at the end of two years in the form of principal plus interest earned.
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[Assistant] rs. 4326.40

[User]
james and david work at a grocery shop with 6 other workers. for an internal review, 2 of the 6 workers will be randomly chosen to be interviewed. what is the probability that james and david will both be chosen?
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[Assistant] 1 / 15

[User]
60 % of a number is added to 120, the result is the same number. find the number?
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[Assistant] 300


[User]
in a 60 member association consisting of men and women, exactly 20 % of men and exactly 25 % women are homeowners. what is the least number of members who are homeowners?
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[Assistant] 13

[User]
if a card is drawn from a well shuffled pack of cards, the probability of drawing a spade or a king is -
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[Assistant] 4 / 13

[User]
a man swims downstream 30 km and upstream 18 km taking 6 hours each time, what is the speed of the man in still water?
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[Assistant] 4

[User]
what is the least value of x. so that 23 x 59 is divisible by 3.
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[Assistant] 2

[User]
if the sum of the 4 th term and the 12 th term of an arithmetic progression is 16, what is the sum of the first 15 terms of the progression?
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[Assistant] 120


[User]
the side of a square is increased by 25 % then how much % does its area increases?
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[Assistant] 56.25

[User]
if x = 1 - 2 t and y = 2 t - 2, then for what value of t does x = y?
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[Assistant] 3 / 4

[User]
pipes a and b can fill a tank in 6 and 4 hours. pipe c can empty it in 12 hours. if all pipes are opened together, then the tank will be filled in?
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[Assistant] 3 hr

[User]
a candidate got 35 % of the votes polled and he lost to his rival by 2370 votes. how many votes were cast?
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[Assistant] 7900

[User]
sonika bought a v. c. r. at the list price of 18,500. if the rate of sales tax was 8 %, find the amount she had to pay for purchasing the v. c. r.
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[Assistant] 19,980


[User]
a cistern 6 m long and 4 m wide contains water up to a depth of 1 m 25 cm. the total area of the west surface is :
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[Assistant] 49 m 2

[User]
at the wholesale store you can buy an 8 - pack of hot dogs for $ 1.55, a 20 - pack for $ 3.05, and a 250 - pack for $ 22.95. what is the greatest number of hot dogs you can buy at this store with $ 220?
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[Assistant] 2,218

[User]
if ( n + 2 )! / n! = 90, n =?
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[Assistant] 8

[User]
the triplicate ratio of 1 : 7 is?
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[Assistant] 1 : 343

[User]
what profit percent is made by selling an article at a certain price, if by selling at 3 / 4 rd of that price, there would be a loss of 20 %?
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[Assistant] 7 %


[User]
275.124 x 16.98 ã · 5.001 + 22.22 =?
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[Assistant] 957.641

[User]
a clock store sold a certain clock to a collector for 30 percent more than the store had originally paid for the clock. when the collector tried to resell the clock to the store, the store bought it back at 60 percent of what the collector had paid. the shop then sold the clock again at a profit of 90 percent on its buy - back price. if the difference between the clock's original cost to the shop and the clock's buy - back price was $ 150, for how much did the shop sell the clock the second time?
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[Assistant] $ 1010.46

[User]
a certain junior class has 1000 students and a certain senior class has 900 students. among these students, there are 60 siblings pairs each consisting of 1 junior and 1 senior. if 1 student is to be selected at random from each class, what is the probability that the 2 students selected will be a sibling pair?
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[Assistant] 2 / 30000

[User]
a money lender lent rs. 1000 at 3 % per year and rs. 1400 at 3 % per year. the amount should be returned to him when the total interest comes to rs. 350. find the number of years.
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[Assistant] 4.86

[User]
by weight, liquid x makes up 0.8 percent of solution a and 1.8 percent of solution b. if 400 grams of solution a are mixed with 700 grams of solution b, then liquid x accounts for what percent of the weight of the resulting solution?
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[Assistant] 1.58 %


[User]
if a - b = 3 and a ( power 2 ) + b ( power 2 ) = 21, find the value of ab.
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[Assistant] 6

[User]
out of 460 students of a school, 325 play football, 175 play cricket and 50 neither play football nor cricket. how many students play both football and cricket?
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[Assistant] 90

[User]
in a 8 x 8 chess board what is the total number of squares.
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[Assistant] 204

[User]
a can do a work in 15 days and b in 20 days. if they work on it together for 4 days, then the fraction of the work that is left is :
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[Assistant] 8 / 15

[User]
rakesh credits 15 % of his salary in his fixed deposit account and spends 30 % of the remaining amount on groceries. if the cash in hand is rs. 2380, what is his salary?
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[Assistant] rs. 4000


[User]
a salesman â € ™ s terms were changed from a flat commission of 5 % on all his sales to a fixed salary of rs. 1000 plus 2.5 % commission on all sales exceeding rs. 4,000. if his remuneration as per new scheme was rs. 600 more than that by the previous schema, his sales were worth
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[Assistant] 12000

[User]
if a light flashes every 6 seconds, how many times will it flash in ¾ of an hour?
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[Assistant] 451 times

[User]
by selling an article at rs. 400, a profit of 60 % is made. find its cost price?
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[Assistant] 250

[User]
while working alone at their constant rates, computer x can process 240 files in 12 hours, and computer y can process 240 files in 3 hours. if all files processed by these computers are the same size, how many hours would it take the two computers, working at the same time at their respective constant rates, to process a total of 240 files?
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[Assistant] 2.4

[User]
on dividing a number by 357, we get 39 as remainder. on dividing the same number 17, what will be the remainder?
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[Assistant] 5


[User]
two dogsled teams raced across a 300 mile course in wyoming. team a finished the course in 3 fewer hours than team r. if team a's average speed was 5 mph greater than team r's, what was team r's average mph?
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[Assistant] 20

[User]
the average marks of a class of 24 students is 40 and that of another class of 50 students is 60. find the average marks of all the students?
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[Assistant] 53.5

[User]
each month a retailer sells 100 identical items. on each item he makes a profit of $ 30 that constitutes 10 % of the item's price to the retailer. if the retailer contemplates giving a 5 % discount on the items he sells, what is the least number of items he will have to sell each month to justify the policy of the discount?
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[Assistant] 223

[User]
if x gets 25 % more than y and y gets 20 % more than z, the share of z out of rs. 555 will be :
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[Assistant] rs. 150

[User]
for integers x, y, and z, if ( 3 ^ x ) ( 4 ^ y ) ( 5 ^ z ) = 13107, 200000 and x + y + z = 16, what is the value of xy / z?
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[Assistant] 0


[User]
the length of a rectangular plot is thrice its breadth. if the area of the rectangular plot is 972 sq m, then what is the breadth of the rectangular plot?
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[Assistant] 18

[User]
the mean of 15 observations was 25. it was found later that an observation 40 was wrongly taken as 25. the corrected new mean is
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[Assistant] 26

[User]
what is the area of a square field whose diagonal of length 24 m?
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[Assistant] 240 sq m

[User]
if 40 % of a number is equal to two - thirds of another number, what is the ratio of the first number to the second?
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[Assistant] 5 : 3

[User]
( x ) + 3612 + 16125 - 6149 = 90189. calculate the value of x
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[Assistant] 76601


[User]
a grocer has a sale of rs. 2500, rs. 6500, rs. 9855, rs. 7230 and rs. 7000 for 5 consecutive months. how much sale must he have in the sixth month so that he gets an average sale of rs. 7500?
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[Assistant] s. 11915

[User]
a cyclist bikes x distance at 20 miles per hour and returns over the same path at 16 miles per hour. what is the cyclist's average rate for the round trip in miles per hour?
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[Assistant] 17.6

[User]
if a is an integer greater than 6 but less than 17 and b is an integer greater than 3 but less than 29, what is the range of a / b?
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[Assistant] 15 / 4

[User]
increasing the original price of a certain item by 25 percent and then increasing the new price by 25 percent is equivalent to increasing the original price by what percent?
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[Assistant] 56.25

[User]
ramu bought an old car for rs. 42000. he spent rs. 13000 on repairs and sold it for rs. 61900. what is his profit percent?
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[Assistant] 12.5


[User]
increasing the original price of an article by 5 percent and then increasing the new price by 5 percent is equivalent to increasing the original price by
Answer the question using a single word or phrase.

[Assistant] 10.25 %

[User]
there are 1200 jelly beans divided between two jars, jar x and jar y. if there are 400 fewer jelly beans in jar x than 3 times the number of beans in jar y, how many beans are in jar x?
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[Assistant] 800

[User]
if x is 20 percent more than y and y is 70 percent less than z, then x is what percent of z?
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[Assistant] 36 %

[User]
how many alphabets need to be there in a language if one were to make 1 million distinct 3 digit initials using the alphabets of the language?
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[Assistant] 100

[User]
a train covers a distance of 12 km in 10 min. if it takes 8 sec to pass a telegraph post, then the length of the train is?
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[Assistant] 160


[User]
at a certain restaurant, the ratio of the number of cooks to the number of waiters is 3 to 11. when 12 more waiters are hired, the ratio of the number of cooks to the number of waiters changes to 3 to 14. how many cooks does the restaurant have?
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[Assistant] 12

[User]
a 56 gallon solution of salt and water is 10 % salt. how many gallons of water must be added to the solution in order to decrease the salt to 8 % of the volume?
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[Assistant] 14

[User]
a, b and c invest in the ratio of 3 : 4 : 5. the percentage of return on their investments are in the ratio of 6 : 5 : 4. find the total earnings, if b earns rs. 120 more than a :
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[Assistant] 3480

[User]
if log 2 = 0.3010 and log 3 = 0.4771, the value of log 5 ( 512 )
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[Assistant] 3.876

[User]
what is the smallest positive integer x such that 507 + x is the cube of a positive integer?
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[Assistant] 5


[User]
a train which has 440 m long, is running 45 kmph. in what time will it cross a person moving at 9 kmph in same direction?
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[Assistant] 44 sec

[User]
two numbers have a h. c. f of 16 and a product of two numbers is 2560. find the l. c. m of the two numbers?
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[Assistant] 160

[User]
what is the tens digit of 36 ^ 4?
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[Assistant] 5

[User]
in an examination, there were 2,000 candidates, out of which 900 candidates were girls and rest were boys. if 38 % of the boys and 32 % of the girls passed, then the total percentage of failed candidates is?
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[Assistant] 64.75 %

[User]
an article is bought for rs. 600 and sold for rs. 450, find the loss percent?
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[Assistant] 25 %


[User]
0.003 * 0.5 =?
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[Assistant] 0.0015

[User]
a man rows his boat 60 km downstream and 30 km upstream taking 3 hrs each time. find the speed of the stream?
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[Assistant] 5 kmph

[User]
the ratio of the amount of the oil bill for the month of february to the amount of the oil bill for the month of january was 3 : 2. if the oil bill for february had been $ 10 more, the corresponding ratio would have been 5 : 3. how much was the oil bill for january?
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[Assistant] $ 60

[User]
what is the average ( arithmetic mean ) of all multiples of 10 from 10 to 600 inclusive?
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[Assistant] 305

[User]
a $ 74.95 lawn chair was sold for $ 59.95 at a special sale. by approximately what percent was the price decreased?
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[Assistant] 20 %


[User]
if rs. 595 be divided among a, b, c in such a way that a gets 2 / 3 of what b gets and b gets 1 / 4 of what c gets, then their shares are respectively?
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[Assistant] s. 420

[User]
a part - time employee ’ s hourly wage was increased by 50 %. she decided to decrease the number of hours worked per week so that her total income did not change. by approximately what percent should the number of hours worked be decreased?
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[Assistant] 33 %

[User]
cereal a is 10 % sugar by weight, whereas healthier but less delicious cereal b is 3 % sugar by weight. to make a delicious and healthy mixture that is 5 % sugar, what should be the ratio of cereal a to cereal b, by weight?
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[Assistant] 2 : 5

[User]
the q train leaves station a moving at a constant speed, and passes by stations b and c, in this order. it takes the q train 7 hours to reach station b, and 5 additional hours to reach station c. the distance between stations a and b is m kilometers longer than the distance between stations b and c. what is the distance between stations a and c in terms of m?
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[Assistant] 6 m

[User]
what is the area of a square field whose sides have a length of 12 meters?
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[Assistant] 144 sq m


[User]
if 4 a – 2 b – 2 c = 32 and √ 3 a - √ ( 2 b + 2 c ) = 4, what is the value of a + b + c?
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[Assistant] 12

[User]
a room is 6 meters 24 centimeters in length and 4 meters 32 centimeters in width. find the least number of square tiles of equal size required to cover the entire floor of the room.
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[Assistant] 117

[User]
how many integers are between 8 and 122 / 7, inclusive?
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[Assistant] 10

[User]
what percent of 10 is 10 percent of 1?
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[Assistant] 1 %

[User]
there are 60 supermarkets in the fgh chain. all of them are either in the us or canada. if there are 14 more fgh supermarkets in the us than in canada, how many fgh supermarkets are there in the us?
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[Assistant] 37


[User]
a man sitting in a train which is traveling at 50 kmph observes that a goods train, traveling in opposite direction, takes 9 seconds to pass him. if the goods train is 280 m long, find its speed.?
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[Assistant] 62 kmph

[User]
the cricket team of 11 members is 26 yrs old & the wicket keeper is 3 yrs older. if the ages ofthese 2 are excluded, the average age of the remainingplayers is 1 year less than the average age of the whole team. what is the average age of the team?
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[Assistant] 23

[User]
the true discount on a bill of rs. 2160 is rs. 360. what is the banker's discount?
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[Assistant] rs. 432

[User]
if the cost price is 82 % of the selling price, then what is the profit percent?
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[Assistant] 22 %

[User]
the average of first six prime numbers which are between 50 and 90 is
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[Assistant] 64


[User]
if 0.5 % of a = 85 paise, then the value of a is?
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[Assistant] rs. 170

[User]
suganya and suriya are partners in a business. suganya invests rs. 15,000 for 8 months and suriya invests rs. 42,000 for 10 months. out of a profit of rs. 31,570. suganya's share is
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[Assistant] rs. 7015.56

[User]
find the compound interest on $ 1200 for 5 years at 20 % p. a. if ci is component yearly?
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[Assistant] $ 1786

[User]
a person want to give his money of $ 15800 to his 4 children a, b, c, d in the ratio 5 : 9 : 6 : 5. what is the a + c share?
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[Assistant] $ 6952

[User]
a certain class of students is being divided into teams. the class can either be divided into 12 teams with an equal number of players on each team or 24 teams with an equal number of players on each team. what is the lowest possible number of students in the class?
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[Assistant] 24


[User]
tourist purchased a total of 30 travelers checks in $ 50 and $ 100 denominations. the total worth of the travelers checks is $ 1800. how many checks of $ 50 denominations can he spend so that average amount ( arithmetic mean ) of the remaining travelers checks is $ 62.5?
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[Assistant] 6

[User]
what will be the compound interest on rs. 40000 after 3 years at the rate of 12 % per annum
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[Assistant] rs 16197.12

[User]
how many pieces of 75 cm can be cut from a rope 54 meters long?
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[Assistant] 72

[User]
working alone, printers x, y, and z can do a certain printing job, consisting of a large number of pages, in 16, 10, and 20 hours, respectively. what is the ratio of the time it takes printer x to do the job, working alone at its rate, to the time it takes printers y and z to do the job, working together at their individual rates?
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[Assistant] 12 / 5

[User]
the average weight of 10 oarsmen in a boat is increased by 1.8 kg when one of the crew, who weight 53 kg is replaced by a new man. find the weight of the new man.
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[Assistant] 71 kg


[User]
in a rectangular coordinate system, what is the area of a rhombus whose vertices have the coordinates ( 0, 3.5 ), ( 7, 0 ), ( 0, - 3.5 ), ( - 7, 0 )?
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[Assistant] 49

[User]
how many multiples of 13 are less than 6000, and also multiples of 16?
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[Assistant] 29

[User]
two ants, arthur and amy, have discovered a picnic and are bringing crumbs back to the anthill. amy makes twice as many trips and carries one and a half times as many crumbs per trip as arthur. if arthur carries a total of m crumbs to the anthill, how many crumbs will amy bring to the anthill, in terms of m?
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[Assistant] mx

[User]
a man is walking at the rate of 7 km / hr crosses a bridge in 15 minutes. the length of the bridge is
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[Assistant] 1750 meters

[User]
average expenditure of a person for the first 3 days of a week is rs. 350 and for the next 4 days is rs. 420. average expenditure of the man for the whole week is :
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[Assistant] 390


[User]
compound interest of rs. 1000 at 10 % per annum for 1 1 / 2 years will be ( interest compounded half yearly ).
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[Assistant] rs. 157

[User]
4,25, 49,121, 169,289, 361,529,
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[Assistant] 841

[User]
what will be the vulgar fraction of 0.70
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[Assistant] 7 / 10

[User]
susan drove an average speed of 30 miles per hour for the first 40 miles of a trip then at a average speed of 15 miles / hr for the remaining 40 miles of the trip if she made no stops during the trip what was susan's avg speed in miles / hr for the entire trip
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[Assistant] 20

[User]
if 25 % of x is 15 less than 15 % of 1500, then x is?
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[Assistant] 840


[User]
two good train each 250 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.
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[Assistant] 24 sec

[User]
a is a working partner and b is a sleeping partner in the business. a puts in rs. 3500 and b rs. 1500, a receives 10 % of the profit for managing the business the rest being divided in proportion of their capitals. out of a total profit of rs. 9600, money received by a is?
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[Assistant] 7008

[User]
45 % of major airline companies equip their planes with wireless internet access. 70 % of major airlines offer passengers free on - board snacks. what is the greatest possible percentage of major airline companies that offer both wireless internet and free on - board snacks?
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[Assistant] 45 %

[User]
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 4725. what was the number of original inhabitants?
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[Assistant] 7000

[User]
a and b invests rs. 3000 and rs. 6500 respectively in a business. if a doubles his capital after 6 months. in what ratio should a and b divide that year's profit?
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[Assistant] 9 : 13


[User]
if a car went the first third of the distance at 10 kmh, the second third at 24 kmh, and the last third at 48 kmh, what was the average speed of the car for the entire trip?
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[Assistant] 19 kmh

[User]
if 70 % of an equal to 40 % of b, then ratio between a and b is?
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[Assistant] 4 : 7

[User]
a college has classes from 10 : 00 am until 1 : 40 pm. in this duration, there are 5 periods. if 5 minutes are provided between each period to leave one class and enter the next class, how many minutes long is each period?
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[Assistant] 40 min

[User]
a card game called “ high - low ” divides a deck of 52 playing cards into 2 types, “ high ” cards and “ low ” cards. there are an equal number of “ high ” cards and “ low ” cards in the deck and “ high ” cards are worth 2 points, while “ low ” cards are worth 1 point. if you draw cards one at a time, how many ways can you draw “ high ” and “ low ” cards to earn 5 points if you must draw exactly 3 “ low ” cards?
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[Assistant] 4

[User]
john distributes his pencil among his 4 friends rose, mary, ranjan, and rohit in the ratio 1 / 2 : 1 / 3 : 1 / 3 : 1 / 5. what is the minimum no. of pencils that the person should have?
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[Assistant] 41


[User]
a, b and c rents a pasture for rs. 870. a put in 12 horses for 8 months, b 16 horses for 9 months and 18 horses for 6 months. how much should b pay?
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[Assistant] 360

[User]
the surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 6 cm each. the radius of the sphere is
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[Assistant] 3 cm

[User]
the speed of a railway engine is 96 km per hour when no compartment is attached, and the reduction in speed is directly proportional to the square root of the number of compartments attached. if the speed of the train carried by this engine is 24 km per hour when 9 compartments are attached, the maximum number of compartments that can be carried by the engine is :
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[Assistant] 16

[User]
average of money that group of 4 friends pay for rent each month is $ 800. after one persons rent is increased by 20 % the new mean is $ 870. what was original rent of friend whose rent is increased?
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[Assistant] 1400

[User]
if n = 2 ^ 0.3 and n ^ b = 16, b must equal
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[Assistant] 40 / 3


[User]
the average mark of the students of a class in a particular exam is 90. if 3 students whose average mark in that exam is 40 are excluded, the average mark of the remaining will be 95. find the number of students who wrote the exam?
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[Assistant] 33

[User]
a survey of employers found that during 1993 employment costs rose 3.5 percent, where employment costs consist of salary costs and fringe - benefit costs. if salary costs rose 3 percent and fringe - benefit costs rose 6.5 percent during 1993, then fringe - benefit costs represented what percent of employment costs at the beginning of 1993?
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[Assistant] 14 %

[User]
machine a and machine b process the same work at different rates. machine c processes work as fast as machines a and b combined. machine d processes work 3 times as fast as machine c ; machine d ’ s work rate is also exactly 4 times machine b ’ s rate. assume all 4 machines work at fixed unchanging rates. if machine a works alone on a job, it takes 7 hours. if all 4 machines work together on the same job simultaneously, how many minutes will it take all of them to complete it?
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[Assistant] 21

[User]
in a company the manager wants to give some gifts to all of the workers. in each block there are about 200 workers are there. the total amount for giving the gifts for all the workers is $ 6000. the worth of the gift is 2 $. how many blocks are there in the company?
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[Assistant] 15

[User]
a 300 meter long train crosses a platform in 48 seconds while it crosses a signal pole in 18 seconds. what is the length of the platform?
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[Assistant] 500


[User]
from january 1, 2015, to january 1, 2017, the number of people enrolled in health maintenance organizations increased by 12 percent. the enrollment on january 1, 2017, was 45 million. how many million people, to the nearest million, were enrolled in health maintenance organizations on january 1, 2015?
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[Assistant] 40

[User]
what is the average ( arithmetic mean ) of the numbers 100, 150, 200, 200, 250, and 300?
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[Assistant] 200

[User]
andrew purchased 14 kg of grapes at the rate of 54 per kg and 10 kg of mangoes at the rate of 62 per kg. how much amount did he pay to the shopkeeper?
Answer the question using a single word or phrase.

[Assistant] 1376

[User]
two trains move in the same direction at speeds 50 kmph and 32 kmph respectively. a man in the slower train observes that 15 seconds elapse before the faster train completely passes by him. what is the length of faster train?
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[Assistant] 75 m

[User]
what will be the fraction of 30 %
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[Assistant] 3 / 10


[User]
jacob is 39 years old. he is 3 times as old as his brother. how old will jacob be when he is twice as old?
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[Assistant] 65

[User]
how many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 42 kmph?
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[Assistant] 21.4 sec

[User]
two cars of length 120 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. in what time will they be clear of each other from the moment they meet?
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[Assistant] 20 s

[User]
a student is ranked 6 th from right and 5 th from left. how many students are there in totality?
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[Assistant] 10

[User]
if 6 men can reap 60 acres of land in 10 days, how many acres of land can 12 men reap in 20 days?
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[Assistant] 240


[User]
solve for x and check : 15 x = 165
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[Assistant] 165

[User]
if ram and gohul can do a job in 10 days and 15 days independently. how many days would they take to complete the same job working simultaneously?
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[Assistant] 6

[User]
what will be the difference between simple and compound interest at 8 % per annum on a sum of rs. 1000 after 4 years?
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[Assistant] 40.5

[User]
a motorcyclist started riding at highway marker a, drove 120 miles to highway marker b, and then, without pausing, continued to highway marker c, where she stopped. the average speed of the motorcyclist, over the course of the entire trip, was 40 miles per hour. if the ride from marker a to marker b lasted 3 times as many hours as the rest of the ride, and the distance from marker b to marker c was half of the distance from marker a to marker b, what was the average speed, in miles per hour, of the motorcyclist while driving from marker b to marker c?
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[Assistant] 67.5

[User]
company x sells a selection of products at various price points. listed below are unit sales made for one particular day. how many unit sales on that day were greater than the mean sale price but less than the median sale price? $ 50, $ 50, $ 97, $ 97, $ 97, $ 120, $ 125, $ 155, $ 199, $ 199, $ 239
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[Assistant] 1


[User]
what is the probability that the sum of two dice will yield a 9, and then when both are thrown again, their sum will again yield a 9? assume that each die has 8 sides with faces numbered 1 to 8.
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[Assistant] 1 / 64

[User]
john want to buy a $ 100 trouser at the store, but he think it ’ s too expensive. finally, it goes on sale for $ 20. what is the percent decrease?
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[Assistant] 80 %

[User]
a soccer store typically sells replica jerseys at a discount of 30 percent to 50 percent off list price. during the annual summer sale, everything in the store is an additional 20 percent off the original list price. if a replica jersey's list price is $ 80, approximately what percent q of the list price is the lowest possible sale price?
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[Assistant] 40

[User]
how many two - digit numbers yield a remainder of 1 when divided by both 4 and 17?
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[Assistant] 1

[User]
the cost of an article is decreased by 20 %. if the original cost is $ 120, find the decrease cost.
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[Assistant] 96


[User]
3 log 3 ( - 5 ) =?
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[Assistant] undentified

[User]
sonika deposited rs. 12000 which amounted to rs. 19500 after 4 years at simple interest. had the interest been 3 % more. she would get how much?
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[Assistant] 20940

[User]
8 k 8 + k 88 - - - - - - - - 16 y 6 if k and y represent non - zero digits within the integers above, what is y?
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[Assistant] 6

[User]
a rectangular garden is to be twice as long as it is wide. if 900 yards of fencing, including the gate, will completely enclose the garden, what will be the length of the garden, in yards?
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[Assistant] 300

[User]
if x is an integer and 2.134 × 10 ^ x is less than 2, 100,000, what is the greatest possible value for x?
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[Assistant] 5


[User]
a man can do a piece of work in 8 days, but with the help of his son, he can finish it in 3 days. in what time can the son do it alone?
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[Assistant] 4 4 / 5

[User]
caleb and kyle built completed the construction of a shed in 10 and half days. if they were to work separately, how long will it take each for each of them to build the shed, if it will take caleb 2 day earlier than kyle?
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[Assistant] 20 and 22

[User]
in a manufacturing plant, it takes 36 machines 8 hours of continuous work to fill 8 standard orders. at this rate, how many hours of continuous work by 72 machines are required to fill 12 standard orders?
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[Assistant] 6

[User]
what is the smallest positive integer x such that 864 x is the cube of a positive integer
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[Assistant] 2

[User]
at the beginning of the year, the ratio of boys to girls in high school x was 3 to 4. during the year, 10 boys and twice as many girls transferred to another high school, while no new students joined high school x. if, at the end of the year, the ratio of boys to girls was 4 to 5, how many boys were there in high school x at the beginning of the year?
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[Assistant] 120


[User]
the total number of digits used in numbering the pages of a book having 360 pages is
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[Assistant] 972

[User]
222, 224, 228, 234, 242, (.... )
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[Assistant] 252

[User]
what is the area of an equilateral triangle whose one side length is 80?
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[Assistant] 1600 √ 3

[User]
a 2000 liter tank, half - full of water is being filled from a pipe with a flow rate of 1 kiloliter every 2 minutes. at the same time, the tank is losing water from two drains at a rate of 1 kiloliter every 4 minutes and every 6 minutes. how many minutes does it take to fill the tank completely?
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[Assistant] 12

[User]
share rs. 4800 among john, jose & binoy in the ration 2 : 4 : 6. find the amount received by john?
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[Assistant] 1600


[User]
the total circumference of two circles is 25. if the first circle has a circumference that is exactly twice the circumference of the second circle, then what is the approximate sum of their two radii?
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[Assistant] 4.0

[User]
the length of a train and that of a platform are equal. if with a speed of 144 k / hr, the train crosses the platform in one minute, then the length of the train ( in meters ) is?
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[Assistant] 1200

[User]
the cost of 10 kg of mangos is equal to the cost of 24 kg of rice. the cost of 6 kg of flour equals the cost of 2 kg of rice. the cost of each kg of flour is $ 20.50. find the total cost of 4 kg of mangos, 3 kg of rice and 5 kg of flour?
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[Assistant] 877.4

[User]
a is 1.5 times as fast as b. a alone can do the work in 30 days. if a and b working together in how many days will the work be completed?
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[Assistant] 18

[User]
if the numbers 1 to 95 are written on 95 pieces of paper, ( one on each ) and one piece is picked at random, then what is the probability that the number drawn is neither prime nor composite?
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[Assistant] 1 / 95


[User]
a train running at 1 / 6 of its own speed reached a place in 24 hours. how much time could be saved if the train would have run at its own speed?
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[Assistant] 20 hrs

[User]
a watch was sold at a loss of 10 %. if it was sold for rs. 168 more, there would have been a gain of 4 %. what is the cost price?
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[Assistant] s : 1200

[User]
a pump can fill a tank with a water in 2 hours. because of a leak, it took 3 hours to fill the tank. the leak can drain all the water of the full tank in how many hours?
Answer the question using a single word or phrase.

[Assistant] 6

[User]
a started a business with an investment of rs. 70000 and after 6 months b joined him investing rs. 120000. if the profit at the end of a year is rs. 52000, then the share of a is?
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[Assistant] s. 28000

[User]
on a trip, a cyclist averaged 9 miles per hour for the first 18 miles and 10 miles per hour for the remaining 12 miles. if the cyclist returned immediately via the same route and took a total of 7.2 hours for the round trip, what was the average speed ( in miles per hour ) for the return trip?
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[Assistant] 7.5


[User]
in town p, 60 percent of the population are employed, and 42 percent of the population are employed males. what percent of the employed people in town p are females?
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[Assistant] 30 %

[User]
an integer n between 1 and 100, inclusive, is to be chosen at random. what is the probability that n ( n + 1 ) will be divisible by 5?
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[Assistant] 2 / 5

[User]
when positive integer n is divided by 5, the remainder is 1. when n is divided by 7, the remainder is 3. what is the smallest positive integer k such that k + n is a multiple of 38?
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[Assistant] 7

[User]
jane started baby - sitting when she was 18 years old. whenever she baby - sat for a child, that child was no more than half her age at the time. jane is currently 34 years old, and she stopped baby - sitting 12 years ago. what is the current age of the oldest person for whom jane could have baby - sat?
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[Assistant] 25

[User]
each of the integers from 0 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into a hat. if 5 of the slips are the drawn, without replacement, what is the probability that all 5 have a odd number written on it?
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[Assistant] 1 / 12


[User]
of the total amount that jill spent on a shopping trip, excluding taxes, she spent 50 percent on clothing, 20 percent on food, and 30 percent on other items. if jill paid a 4 percent tax on the clothing, no tax on the food, and an 10 percent tax on all other items, then the total tax that she paid was what percent of the total amount that she spent, excluding taxes?
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[Assistant] 5 %

[User]
jeff has 252 ounces of peanut butter in 16, 28. and 40 ounce jars. he has an equal number of each sized jar. how many jars of peanut butter does jeff have?
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[Assistant] 9

[User]
if 20 men can build a wall 66 metres long in 12 days, what length of a similar can be built by 86 men in 8 days?
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[Assistant] 189.2 mtrs

[User]
the average of 6 no.'s is 2.5. the average of 2 of them is 1.1, while the average of the other 2 is 1.4. what is the average of the remaining 2 no's?
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[Assistant] 5

[User]
the sum of the first 92 positive even integers is 2,550. what is the sum of the odd integers from 101 to 200, inclusive?
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[Assistant] 11,700


[User]
a is an integer greater than 9 but less than 21, b is an integer greater than 19 but less than 31, what is the range of a / b?
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[Assistant] 2 / 3

[User]
if 18 percent of the students at a certain school went to a camping trip and took more than $ 100, and 75 percent of the students who went to the camping trip did not take more than $ 100, what percentage of the students at the school went to the camping trip?
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[Assistant] 72

[User]
a couple decides to have 2 children. if they succeed in having 2 children and each child is equally likely to be a boy or a girl, what is the probability that they will have exactly 1 girl and 1 boy?
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[Assistant] 1 / 2

[User]
a computer manufacturer produces a certain electronic component at a cost of $ 80 per component. shipping costs for delivering the components are $ 5 per unit. further, the manufacturer has costs of $ 16,500 a month related to the electronic component regardless of how many it produces. if the manufacturer produces and sells 150 components a month, what is the lowest price it can sell them for such that the costs do n't exceed the revenues?
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[Assistant] $ 195

[User]
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, 70 percent of books that were loaned out are returned and there are 60 books in the special collection at that time, how many books of the special collection were loaned out during that month?
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[Assistant] 50


[User]
a, b and c play a cricket match. the ratio of the runs scored by them in the match is a : b = 2 : 3 and b : c = 2 : 5. if the total runs scored by all of them are 100, the runs scored by c are?
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[Assistant] 60

[User]
the average age of an adult class is 50 years. 12 new students with an avg age of 32 years join the class. therefore decreasing the average by 4 years. find what was the original average age of the class?
Answer the question using a single word or phrase.

[Assistant] 42

[User]
anne and katherine are both saving money from their summer jobs to buy bicycles. if anne had $ 150 less, she would have exactly 1 / 3 as much as katherine. and if katherine had twice as much, she would have exactly 3 times as much as anne. how much money have they saved together? (
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[Assistant] $ 750

[User]
a train crosses a platform of 120 m in 15 sec, same train crosses another platform of length 180 m in 18 sec. then find the length of the train?
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[Assistant] 180

[User]
a ’ s speed is 32 / 27 times that of b. if a and b run a race, what part of the length of the race should a give b as a head start, so that the race ends in a dead heat?
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[Assistant] 5 / 32


[User]
how many cubes of 4 cm edge can be put in a cubical box of 1 m edge.
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[Assistant] 15625 cm

[User]
how many integers between 324,700 and 375,600 have tens digit 1 and units digit 3?
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[Assistant] 509

[User]
find the area of trapezium whose parallel sides are 12 cm and 16 cm long, and the distance between them is 14 cm?
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[Assistant] 196 cm 2

[User]
a train running at the speed of 58 km / hr crosses a pole in 9 sec. what is the length of the train?
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[Assistant] 145 m

[User]
if x and y are both odd prime numbers and x < y, how many distinct positive integer w factors does 2 xy have?
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[Assistant] 8


[User]
if it takes 4 identical printing presses exactly 6 hours to print 8000 newspapers, how long would it take 2 of these presses to print 6000 newspapers?
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[Assistant] 9 hrs

[User]
if ( t - 8 ) is a factor of t ^ 2 - kt - 43, then k =
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[Assistant] 3

[User]
a batsman in his 12 th innings makes a score of 55 and thereby increases his average by 1 runs. what is his average after the 12 th innings if he had never been ‘ not out ’?
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[Assistant] 44

[User]
find large number from below question the difference of two numbers is 2415. on dividing the larger number by the smaller, we get 21 as quotient and the 15 as remainder
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[Assistant] 2535

[User]
a train with a length of 100 meters, is traveling at a speed of 72 km / hr. the train enters a tunnel 2.3 km long. how many minutes does it take the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?
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[Assistant] 2.0


[User]
a garrison of 2000 men has provisions for 40 days. at the end of 20 days, a reinforcement arrives, and it is now found that the provisions will last only for 10 days more. what is the reinforcement?
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[Assistant] 2000

[User]
five bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 seconds respectively. in 20 minutes, how many times do they toll together?
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[Assistant] 11

[User]
if it is assumed that 60 percent of those who receive a questionnaire by mail will respond and 750 responses are needed, what is the minimum number of questionnaires that should be mailed?
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[Assistant] 1250

[User]
if the price of 357 apples is rs. 1517.25, what will be the approximate price of 49 dozens of such apples
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[Assistant] rs. 2500

[User]
if 9 men can reap 80 hectares in 24 days, then how many hectares can 36 men reap in 30 days?
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[Assistant] 400


[User]
two trains of equal length are running on parallel lines in the same directions at 46 km / hr. and 36 km / hr. the faster trains pass the slower train in 144 seconds. the length of each train is :
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[Assistant] 200 m

[User]
if an investor puts $ 900 in a savings account that earns 10 percent annual interest compounded semiannually, how much money will be in the account after one year?
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[Assistant] $ 992.25

[User]
if the wheel is 21 cm then the number of revolutions to cover a distance of 1056 cm is?
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[Assistant] 8

[User]
for each color copy, print shop x charges $ 1.25 and print shop y charges $ 2.75. how much greater is the charge for 60 color copies at print shop y than at print shop x?
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[Assistant] $ 90

[User]
a train 180 m long running at 75 kmph crosses a platform in 40 sec. what is the length of the platform?
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[Assistant] 683


[User]
a train is 327 meter long is running at a speed of 40 km / hour. in what time will it pass a bridge of 122 meter length?
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[Assistant] 40.41

[User]
if x + y = 2 x - 2 z, x - 2 y = 4 z and x + y + z = 21, what is the value of z / y?
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[Assistant] - 0.5.

[User]
if a person walks at 16 km / hr instead of 10 km / hr, he would have walked 20 km more. the actual distance traveled by him is :
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[Assistant] 33.3 km

[User]
if teena is driving at 55 miles per hour and is currently 7.5 miles behind coe, who is driving at 40 miles per hour in the same direction then in how many minutes will teena be 15 miles ahead of coe?
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[Assistant] 90

[User]
in a 500 m race, the ratio of the speeds of two contestants a and b is 2 : 4. a has a start of 300 m. then, a wins by :
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[Assistant] 100 m


[User]
the two lines y = x and x = - 8 intersect on the coordinate plane. what is the value of the area of the figure formed by the intersecting lines and the x - axis?
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[Assistant] 32

[User]
a school has received 60 % of the amount it needs for a new building by receiving a donation of $ 400 each from people already solicited. people already solicited represent 40 % of the people from whom the school will solicit donations. how much average contribution is requited from the remaining targeted people to complete the fund raising exercise?
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[Assistant] $ 177.78

[User]
the average of 11 numbers is 60. out of 11 numbers the average of first 6 no. is 58, and last 6 numbers is 65 then find 6 th number?
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[Assistant] 78

[User]
each month a retailer sells 100 identical items. on each item he makes a profit of $ 30 that constitutes 16 % of the item's price to the retailer. if the retailer contemplates giving a 5 % discount on the items he sells, what is the least number of items he will have to sell each month to justify the policy of the discount?
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[Assistant] 157

[User]
4 dice are thrown simultaneously on the board. find the probability show the same face.
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[Assistant] 1 / 216


[User]
if a 3 cm cube is cut into 1 cm cubes, then what is the percentage increase in the surface area of the resulting cubes?
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[Assistant] 200 %

[User]
the population of a town is 8000. it decreases annually at the rate of 10 % p. a. what will be its population after 2 years?
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[Assistant] 6480

[User]
jim ’ s taxi service charges an initial fee of $ 2.25 at the beginning of a trip and an additional charge of $ 0.15 for each 2 / 5 of a mile traveled. what is the total charge for a trip of 3.6 miles?
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[Assistant] $ 3.60

[User]
in a certain city, 70 percent of the registered voters are democrats and the rest are republicans. in a mayoral race, if 80 percent of the registered voters who are democrats and 30 percent of the registered voters who are republicans are expected to vote for candidate a, what percent of the registered voters are expected to vote for candidate a?
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[Assistant] 65 %

[User]
a and b can do a piece of work in 7 days. with the help of c they finish the work in 4 days. c alone can do that piece of work in?
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[Assistant] 9 1 / 3


[User]
the ratio between the length and the breadth of a rectangular park is 3 : 2. if a man cycling along the boundary of the park at the speed of 12 km / hr completes one round in 9 minutes, then the area of the park ( in sq. m ) is :
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[Assistant] 194400

[User]
a broker invested her own money in the stock market. during the first year, she increased her stock market wealth by 80 percent. in the second year, largely as a result of a slump in the stock market, she suffered a 30 percent decrease in the value of her stock investments. what was the net increase or decrease on her overall stock investment wealth by the end of the second year?
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[Assistant] 26 %

[User]
pipe a can fill a tank in 16 hrs and pipe b can fill it in 24 hrs. if both the pipes are opened in the empty tank. in how many hours will it be fill 5 / 4 th of that tank?
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[Assistant] 12

[User]
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. 504. find the sum?
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[Assistant] 4200

[User]
the average age of 8 men is increased by years when two of them whose ages are 21 years and 23 years are replaced by two new men. the average age of the two new men is
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[Assistant] 30


[User]
a boy traveled from the village to the post - office at the rate of 12.5 kmph and walked back at the rate of 2 kmph. if the whole journey took 5 hours 48 minutes, find the distance of the post - office from the village.
Answer the question using a single word or phrase.

[Assistant] 10 km

[User]
the sum of the numbers is 177. if the ratio between the first and the second be 5 : 3 and that between the second and third be 4 : 9, then find the second number?
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[Assistant] 45

[User]
if the height of a cone is increased by 190 % then its volume is increased by?
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[Assistant] 190

[User]
a green lizard can travel from the green cave to the blue cave in 108 minutes ; the blue lizard can travel from the blue cave to the green cave in 25 % less time. if the green lizard started to travel 7.5 minutes before the blue lizard, how many minutes after the blue lizard, will the green lizard pass the middle line?
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[Assistant] 6.

[User]
working alone, printers x, y, and z can do a certain printing job, consisting of a large number of pages, in 12, 16, and 18 hours, respectively. what is the ratio of the time it takes printer x to do the job, working alone at its rate, to the time it takes printers y and z to do the job, working together at their individual rates?
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[Assistant] 144 / 17


[User]
find the total number of prime factors in the expression ( 4 ) ^ 11 x ( 7 ) ^ 3 x ( 11 ) ^ 2
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[Assistant] 27

[User]
for a group of n people, k of whom are of the same sex, the ( n - k ) / n expression yields an index for a certain phenomenon in group dynamics for members of that sex. for a group that consists of 20 people, 7 of whom are females, by how much does the index for the females exceed the index for the males in the group?
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[Assistant] 0.3

[User]
the sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. their sum is :
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[Assistant] 20

[User]
the cost price of an article is 64 % of the marked price. calculate the gain percent after allowing a discount of 14 %?
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[Assistant] 34.375 %

[User]
a car travels first 160 km at 64 km / hr and the next 160 km at 80 km / hr. what is the average speed for the first 320 km of the tour?
Answer the question using a single word or phrase.

[Assistant] 71.11


[User]
a prize of $ 800 is to be distributed among 20 winners, each of whom must be awarded at least $ 20. if 2 / 5 of the prize will be distributed to 3 / 5 of the winners, what is the greatest possible individual award?
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[Assistant] $ 340

[User]
simple interest on a certain sum of money for 3 years at 10 % per annum is half the compound interest on rs. 6500 for 2 years at 14 % per annum. the sum placed on simple interest is
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[User]
mary works in a restaurant a maximum of 50 hours. for the first 20 hours, she is paid $ 8 per hour. for each overtime hour, she is paid at a rate which is 25 % higher than her regular rate. how much mary can earn in a week?
Answer the question using a single word or phrase.

[Assistant] 460

[User]
an outlet pipe empties a tank which is full in 5 hours. if the inlet pipe is kept open, which lets water in at the rate of 4 litres / min then outlet pipe would take 3 hours longer. find the capacity of the tank.
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[Assistant] 3200 litres

[User]
you buy a piece of land with an area of â ˆ š 625, how long is one side of the land plot?
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[Assistant] 25


[User]
in a division sum, the remainder is 4 and the divisor is 2 times the quotient and is obtained by adding 2 to the thrice of the remainder. the dividend is :
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[Assistant] 100

[User]
if the sum of two numbers is 42 and their product is 437, then find the absolute difference between the numbers.
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[Assistant] 4

[User]
for dinner, cara ate 240 grams of bread which was 8 times as much bread as she ate for lunch, and 6 times as much bread as she ate for breakfast. how much bread did cara eat in total?
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[Assistant] 310

[User]
if 50 % of a number is equal to one - third of another number, what is the ratio of first number to the second number?
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[Assistant] 2 : 3

[User]
the megatek corporation is displaying its distribution of employees by department in a circle graph. the size of each sector of the graph representing a department is proportional to the percentage of total employees in that department. if the section of the circle graph representing the manufacturing department takes up 180 ° of the circle, what percentage of megatek employees are in manufacturing?
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[Assistant] 50 %


[User]
compound x contains elements a and b at an approximate ratio, by weight, of 2 : 10. approximately how many grams of element b are there in 330 grams of compound x?
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[Assistant] 275

[User]
find the sum of first 30 natural numbers
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[Assistant] 465

[User]
a farmer with 1,350 acres of land had planted his fields with corn, sugar cane, and tobacco in the ratio of 5 : 3 : 1, respectively, but he wanted to make more money, so he shifted the ratio to 2 : 4 : 3, respectively. how many more acres of land were planted with tobacco under the new system?
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[Assistant] 300

[User]
the charge for a single room at hotel p is 70 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?
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[Assistant] 200 %

[User]
what least number should be added to 1021, so that the sum is completely divisible by 25?
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[Assistant] 4


[User]
a tank is filled in sixteen hours by 3 pipes a, b and c. pipe a is twice as fast as pipe b, and b is twice as fast as c. how much time will pipe b alone take to fill the tank?
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[Assistant] 56 hours

[User]
two numbers n and 16 have lcm = 48 and gcf = 18. find n.
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[Assistant] 54

[User]
when n is divided by 20, the remainder is 5. what is the remainder when n + 16 is divided by 5?
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[Assistant] 1

[User]
if a = { 10, 15, 18, 22, 36, 44 }, what is the product of mean and median of the numbers in a?
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[Assistant] 480

[User]
of the 3,600 employees of company x, 1 / 6 are clerical. if the clerical staff were to be reduced by 1 / 3, what percent of the total number of the remaining employees would then be clerical?
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[Assistant] 11.7 %


[User]
what is the maximum number of pieces of birthday cake of size 2 ” by 2 ” that can be cut from a cake 20 ” by 20 ”?
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[Assistant] 100

[User]
how many positive integers less than 50 are multiples of 2 but not multiples of 5?
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[Assistant] 20

[User]
if | 4 x + 14 | = 46, what is the sum of all the possible values of x?
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[Assistant] - 7

[User]
what is the least number. which should be added to 0.0282 to make it a perfect square?
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[Assistant] 0.0007

[User]
at the faculty of aerospace engineering, 302 students study random - processing methods, 232 students study scramjet rocket engines and 112 students study them both. if every student in the faculty has to study one of the two subjects, how many students are there in the faculty of aerospace engineering?
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[Assistant] 422


[User]
in a group of 100 people, 55 have visited iceland and 43 have visited norway. if 61 people have visited both iceland and norway, how many people have visited neither country?
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[Assistant] 63

[User]
a car was driving at 60 km / h for 20 minutes, and then at 90 km / h for another 40 minutes. what was its average speed?
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[Assistant] 80.

[User]
if ( a + b ) = 5, ( b + c ) = 9 and ( c + d ) = 3, what is the value of ( a + d )?
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[Assistant] - 1.

[User]
in 2008, the profits of company n were 10 percent of revenues. in 2009, the revenues of company n fell by 20 percent, but profits were 13 percent of revenues. the profits in 2009 were what percent of the profits in 2008?
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[Assistant] 104 %

[User]
150 ml of 30 % sulphuric acid was added to approximate 400 ml of 12 % sulphuric acid solution. find the approximate concentration c of the acid in the mixture?
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[Assistant] 1 / 6


[User]
a, b and c invests rs. 2000, rs. 3000 and rs. 4000 in a business. after one year a removed his money ; b and c continued the business for one more year. if the net profit after 2 years be rs. 3200, then a's share in the profit is?
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[Assistant] 400

[User]
a train is moving at a speed of 100 km / hour. the length of the train is 100 metre. in how much time will it cross a pole?
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[Assistant] 3.6 second

[User]
a ladder 14 feet long is leaning against a wall that is perpendicular to level ground. the bottom of the ladder is 9 feet from the base of the wall. if the top of the ladder slips down 1 feet, how many feet will the bottom of the ladder slip?
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[Assistant] 10

[User]
a trader sells 40 metres of cloth for rs. 8200 at a profit of rs. 30 per metre of cloth. how much profit will the trder earn on 40 metres of cloth?
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[Assistant] rs. 1200

[User]
a train 330 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?
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[Assistant] 18


[User]
a completes 80 % of a work in 20 days. then b also joins and a and b together finish the remaining work in 3 days. how long does it need for b if he alone completes the work?
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[Assistant] 37 1 / 2 days

[User]
if - 3 / ( a - 3 ) = 3 / ( a + 2 ), then a =?
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[Assistant] 1 / 2

[User]
company p had 15 percent more employees in december than it had in january. if company p had 460 employees in december, how many employees did it have in january?
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[Assistant] 400

[User]
a number is doubled and 5 is added. if the resultant is trebled, it becomes 117. what is that number?
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[Assistant] 17

[User]
find out the c. i on rs. 5000 at 4 % p. a. compound half - yearly for 1 1 / 2 years.
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[Assistant] 306.05


[User]
what is the greatest of 3 consecutive integers whose sum is 24?
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[Assistant] 9

[User]
i sold a book at a profit of 10 %. had i sold it for $ 120 more, 15 % would have been gained. find the cost price?
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[Assistant] $ 2400

[User]
how much is 25 % of 40 is greater than 4 / 5 of 25?
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[Assistant] 10

[User]
a certain car uses 12 gallons of gasoline in traveling 360 miles. in order for the car to travel the same distance using 10 gallons of gasoline, by how many miles per gallon must the car ’ s gas mileage be increased?
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[Assistant] 6

[User]
in an election between two candidates - lange and sobel - 70 % of the voters voted for sobel. of the election ` s voters, 60 % were male. if 35 % of the female voters voted for lange, what percentage of the male voters voted for sobel?
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[Assistant] 44


[User]
a river 4 m deep and 22 m wide is flowing at the rate of 2 kmph the amount of water that runs into the sea per minute is?
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[Assistant] 2933

[User]
a drink vendor has 40 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?
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[Assistant] 69

[User]
if x is 3 times larger than n, and if 2 n + 3 is 20 % of 25, what is the value of?
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[Assistant] 3

[User]
a one - foot stick is marked in 1 / 3 and 1 / 5 portion. how many total markings will there be, including the end points?
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[Assistant] 8

[User]
sachin is younger than rahul by 6 years. if their ages are in the respective ratio of 7 : 9, how old is sachin?
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[Assistant] 34


[User]
in arun's opinion, his weight is greater than 64 kg but leas than 72 kg. his brother does not agree with arun and he thinks that arun's weight is greater than 60 kg but less than 70 kg. his mother's view is that his weight can not be greater than 67 kg. if all of them are correct in their estimation, what is the average of diferent probable weights of arun?
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[Assistant] 65.5 kg

[User]
in may, the grounds keeper at spring lake golf club built a circular green with an area of 25 square feet. in august, he doubled the distance from the center of the green to the edge of the green. what is the total area of the renovated green?
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[Assistant] 100 pi

[User]
two trains are moving in opposite directions with speed of 110 km / hr and 90 km / hr respectively. their lengths are 1.10 km and 0.9 km respectively. the slower train cross the faster train in - - - seconds
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[Assistant] 36

[User]
in the xy - plane, a triangle has vertices ( 0,0 ), ( 4,0 ) and ( 4,10 ). if a point ( a, b ) is selected at random from the triangular region, what is the probability that a - b > 0?
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[Assistant] 2 / 5

[User]
into a room you store 38 black bottles and 4 green bottles, and you turn off the light. if you ask to someone look for 2 bottles without turn on the light, what is the probability of both the selected bottles will be green?
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[Assistant] 2 / 287


[User]
a, b and c enter into partnership. a invests some money at the beginning, b invests double the amount after 6 months, and c invests thrice the amount after 8 months. if the annual gain be rs. 27000. a's share is?
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[Assistant] 9000

[User]
a man swims downstream 120 km and upstream 50 km taking 5 hours each time ; what is the speed of the current?
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[Assistant] 7 kmph

[User]
pat, kate and mark charged a total of 198 hours to a certain project. if pat charged twice as much time to the project as kate and 1 / 3 as much times as mark, how many more hours did mark charge to the project than kate.
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[Assistant] 110

[User]
in the junior basketball league there are 18 teams, 1 / 3 of them are bad and ½ are rich. what ca n't be the number of teams that are rich and bad?
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[Assistant] 10.

[User]
kul is 22 years old and saras is 33 years. find the ratio of saras's age to kul's age.
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[Assistant] 3 / 2