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big_math_dataset

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Which of the following numbers should not be included in the set? 331, 482, 551, 263, 381, 242, 111
Find the highest common factor of 36 and 84.
A car ferry can hold up to 60 tons of cargo. What is the greatest number of vehicles that the ferry can carry if half the vehicles are cars with an average (arithmetic mean) weight of 0.75 tons and half of the vehicles are trucks with an average (arithmetic mean) weight of 5 tons?
A and B complete a work in 10 days. A alone can do it in 40 days. If both together can do the work in how many days?
What will be the ratio of simple interest earned by certain amount at the same rate of interest for 4 years and that for 9 years?
Hitesh is 40 years old and Ronnie is 60years old. How many years ago was the ratio of their ages 3:5?
Peter mixed 24 kg of butter at $150 per kg with 36 kg butter at the rate of $125 per kg. At what price per kg should he sell the mixture to make a profit of 40% in the transaction?
The largest number amongst the following that will perfectly divide 101100 – 1 is?
Harkamal purchased 8kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 75 per kg. How much amount did he pay to the shopkeeper?
If a family spends 40 percent of its household budget on rent and utilities, 30 percent to food, and 20 percent on other bills, what fraction of their monthly budget is available for savings ?
A boat can move upstream at 25 kmph and downstream at 35 kmph, then the speed of the current is?
A rectangular tiled patio is composed of 40 square tiles. The rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles. After the change in layout, the patio will still have 40 tiles, and it will still be rectangular. How many rows are in the tile patio before the change in layout?
krishna has 20 apples.ram has 15 apples. Totally how many apples they have in all?
Ram is able to sell a hand-carved statue for $770 which was a 10% profit over his cost. How much did the statue originally cost him?
n a certain flower shop, which stocks four types of flowers, there are 1/3 as many violets as carnations, and 1/4 as many tulips as violets. If there are equal numbers of roses and tulips, what percent of the flowers in the shop are carnations?
PZQW : NXOU :: FISK :?
Machine X can complete a job in half the time it takes Machine Y to complete the same job, and Machine Z takes 50% longer than Machine X to complete the job. If all three machines always work at their respective, constant rates, what is the ratio J of the amount of time it will take Machines X and Z to complete the job to the ratio of the amount of time it will take Machines Y and Z to complete the job?
A certain number of workers can do a work in 45 days. If there were 10 workers more it could be finished in 10 days less. How many workers are there?
A train 575 m long crosses a tunnel of length 325 in 90 sec. What is the speed of the train in kmph.
If X and Y are both positive two-digit integers and share no digits, and X > Y, what is the smallest possible value of X - Y?
Find the average of first 4 multiples of 9?
A table is bought for Rs.500/- and sold at a loss of 10% find its selling price
If the remainder is 11 when the integer n is divided by 20, what is the remainder when 2n is divided by 10?
The average age of 15 students of a class is 15 years. Out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years. Tee age of the 15th student is?
On Children's Day, sweets were to be equally distributed among 175 children in a school. Actually on the Children's Day, 35 children were absent and therefore each child got 4 sweets extra. Total how many sweets were available for distribution ?
A circular well with a diameter of 6 metres , is dug to a depth of 24 metres. What is the volume of the earth dug out?
Two men started from the same place walk at the rate of 10kmph and 12kmph respectively. What time will they take to be 30 km apart, if they walk in the same direction?
A total of 3000 chocolates were distributed among 120 boys and girls such that each boy received 2 chocolates and each girl received 3 chocolates. Find the respective number of boys and girls?
A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is:
A person sold two cows each for Rs.9900. If he gained 10% on one and lost 20% on the other, then which of the following is true?
A and B starts a business with Rs.8000 each, and after 4 months, B withdraws half of his capital . How should they share the profits at the end of the 18 months?
A train travels at an average of 50 miles per hour for 2 1/2 hours and then travels at a speed of 70miles per hour for 1 1/2 hours. How far did the train travel in the entire 4 hours?
In an examination, 35% candidates failed in one subject and 42% failed in another subject while 15% failed in both the subjects. If 2500 candidates appeared at the end of the examination how many passed in either subject but not in both?
12 men work 8 hours per day to complete the work in 10 days. To complete the same work in 10 days, working 12 hours a day, the number of men required?
Which of the following numbers is not prime?
If A's height is 30% less than that of B, how much percent B's height is more than that of A?
There are 8 magazines lying on a table; 4 are movie magazines and the other 4 are education magzines. If 3 magazines are to be selected at random from the 8 magazines, what is the probability that at least one of the movie magazine will be selected?
A is thrice as efficient as B and is, therefore, able to finish a piece of work 10 days earlier than B. In how many days A and B will finish it together?
5n + 2 > 12 and 7n - 12 < 44; n must be between which numbers?
A cistern is filled by pipe A in 8 hours and the full cistern can be leaked out by an exhaust pipe B in 12 hours. If both the pipes are opened, in what time the cistern is full?
When sold at a 60% discount, a sweater nets the merchant a 20% profit on the wholesale cost at which he initially purchased the item. By what % is the sweater marked up from wholesale at its normal retail price?
A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?
Exactly 36% of the numbers in set Q are even multiples of 3. If 40% of the even integers in set Q are not multiples of 3, what percent of the numbers in set Q are not even integers?
If |x - 16| = 2x, then x=?
The areas, in kilometers squared, of some countries are given below. USA: 9,629,091, Russia: 17,098,242, China: 9,598,094, Canada: 9,984,670, the UK: 242,400 and India: 3,287,263. What is the difference between the areas of Russia and China?
A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12100 after a year?
54671 - 14456 - 31466 = ?
Insert the missing number 121, 112, ..., 97, 91, 86
The distance between two stars is 2.5 × 10^5 light years. What is the distance between the two stars in parsecs? (1 parsec = 3.26 light years)
A can complete a work in 12days and B can do the same work in 6days. If A after doing 3days, leaves the work, find in how many days B will do the remaining work?
Two numbers are respectively 20% and 25% more than a third number. The percentage that is first of the second is?
After decreasing 24% in the price of an article costs Rs.912. Find the actual cost of an article?
Paul earns $12000 an year from his job. His income increased and now makes $13500 an year. What is the percent increase?
A tank is filled in eight hours by three 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?
(9568422 x 558) = ?
A number is missing from the number series below. Can you find it ? 84, ?, 258, 399 , 584, 819.
5 men are equal to as many women as are equal to 8 boys. All of them earn Rs.75 only. Men’s wages are?
If in a certain sequence of consecutive multiples of 100, the median is 750, and the greatest term is 1200, how many terms that are smaller than 650 are there in the sequence?
Pipe A fills a tank in 56 minutes. Pipe B can fill the same tank 7 times as fast as pipe A. If both the pipes are kept open when the tank is empty, how many minutes will it take to fill the tank?
If x and y are distinct prime numbers less than ten, what must be true about the product of x and y?
One side of a rectangle is 3 cm shorter than the other side. If we increase the length of each side by 1 cm, then the area of the rectangle will increase by 24 cm2. Find the lengths of all sides.
The angles of a triangle are in the ratio 1:3:8. Find the measurement of the three angles of triangle.
A sun is divided among X, Y and Z in such a way that for each rupee X gets, Y gets 45 paisa and Z gets 30 paisa. If the share of Y is RS. 27, what is the total amount?
Cost of 16 mirror and 8 comb is Rs.360 and the cost of 4 mirror and 4 comb is Rs.96. Find the cost of each mirror?
A 90-liter solution of cool-drink is made from 5% jasmine water. If 6.5 liters of jasmine and 13.5 liters of water were added to the solution, what percent of the solution is jasmine?
In a market, a dozen eggs cost as much as a pound of rice, and a half-liter of kerosene costs as much as 6 eggs. If the cost of each pound of rice is $0.24, then how many cents does a liter of kerosene cost? [One dollar has 100 cents.]
A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
How many months are in 3 years?
What will be the fraction of 10%
The number of arrangements that can be made with the letters of the word COPY so that the vowels occupy the even places?
A bowl has only 6 apples and 6 bananas. If one piece of fruit is selected from the bowl at random, and a second piece is selected from the bowl without replacing the first, what is the probability that both pieces of fruit chosen are apples?
If n ≠ 0, which of the following must be greater than n? I. 4n II. n^2 III. 2 - n
A train 250 m long running at 72 kmph crosses a platform in 30 sec. What is the length of the platform?
A train 300 m long passed a pole in 22 sec. How long will it take to pass a platform 725 m long?
From 5 positive numbers and 6 negative numbers, how many groups of 4 numbers, yielding a positive product, can be formed?
A man can row a boat at 14 kmph in still water. If the speed of the stream is 5 kmph, what is the time taken to row a distance of 80 km downstream?
Working simultaneously at their respective constant rates, Machines A and B produce 800 nails in x hours. Working alone at its constant rate, Machine A produces 800 nails in q hours. In terms of x and q, how many hours does it take Machine B, working alone at its constant rate, to produce 800 nails?
2 men and 3 boys can do a piece of work in 10 days while 3 men and 2 boys can do the same work in 8 days.In how many days can 2 men and 1 boy do the work?
The ratio of the incomes of A and B is 5:4 and the ratio of their expenditure is 3:2. If at the end of the year, each saves $1600 then the income of A is?
A salesman’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?
The cross-section of a cannel is a trapezium in shape. If the cannel is 10 m wide at the top and 6 m wide at the bottom and the area of cross-section is 640 sq m, the depth of cannel is?
Mr Shivkumar started a business, investing 25000 in 1996. In 1997 he invested an additional amount of 10000 and Mr Rakesh joined him with an amount of 35000. In 1998, Mr Shivkumar invested another additional amount of 10000 and Mr Suresh joined them with an amount of 35000. What will be Rakesh’s share in the profit of 150000 earned at the end of three years from the start of the business in 1996?
There are 250 scraps. For each 11 cutting one extra can be obtained. How much maximum is possible, if one cut by one unit?
a man have 800kg mango.he found 8% of its mango are rotten.then how much mango is rotten?
In a graduating class, 40 percent of the students are male. In this class, 50 percent of the male students and 40 percent of the female students are 25 years old or older. If one student in the class is randomly selected, approximately what is the probability that he or she will be less than 25 years old?
If 2x=y=6z, what is x-z, in terms of y?
which of the following could be the greatest common factor of positive integers 4 and 6 ? I) 8 II) 4 III) 2
Ajay pays Rs 8.0 per litre of spirit. He adds water and sells the mixture at Rs 9 per litre, thereby making 40 % profit. The proportion of water to spirit received by the customers is
Cole drove from home to work at an average speed of 80 kmh. He then returned home at an average speed of 120 kmh. If the round trip took a total of 2 hours, how many minutes did it take Cole to drive to work?
Cereal A is 10% sugar by weight, whereas healthier but less delicious Cereal B is 2% sugar by weight. To make a delicious and healthy mixture that is 5% sugar, what should be the ratio of Cereal A to Cereal B, by weight?
What will be the cost of building a fence around a square plot with area equal to 36 sq ft, if the price per foot of building the fence is Rs. 58?
2 dice are tossed. What is the probability that the total score is a prime no. is?
A and B entered into a partnership investing Rs.25000 and Rs.30000 respectively. After 4 months C also joined the business with an investment of Rs.35000. What is the share of C in an annual profit of Rs.47000?
9 men are equal to as many women as are equal to 7 boys. All of them earn Rs.216 only. Men’s wages are?
The average age of 3 girls is 24 years and their ages are in the proportion 1:2:3. The age of the youngest girl is?
In flip of coin seven times in a row, what is the probability that the result will not be tails at any ?
12 buckets of water fill a tank when the capacity of each bucket is 49 litres. How many buckets will be needed to fill the same tank, if the capacity of each bucket is 7 litres?
As they say, beggars can't be choosers, in fact begger take what they can get. A begger on the street can make one cigarette out of every 6 cigarette butts he finds. After one whole day of searching and checking public ashtrays the begger finds a total of 72 cigarette butts. How many cigarettes can he make and smoke from the butts he found?
Given that x and y are nonnegative integers, compute the number of pairs (x, y) such that 5x + y = 20.
A and B can finish a work in 16 days while A alone can do the same work in 24 days. In how many days B alone will complete the work?