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big_math_dataset

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If a cloth merchant sells ‘a’ metres of cloth for Rs.x, then what is the selling price of ‘b’ metres of cloth?
In how many different ways can three letters be posted from seven different postboxes assuming no two letters can be posted from the same postbox?
A boat can travel with a speed of 12 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 68 km downstream.
what is a percent of b divided by b percent of a? (a) a (b) b (c) 1 (d) 10 (d) 100
At what time between 5.30 and 6 will the hands of a clock be at right angles?
Pipe A can fill a tank in 15 minutes and pipe B cam empty it in 24 minutes. If both the pipes are opened together after how many minutes should pipe B be closed, so that the tank is filled in 30 minutes?
A box contains four light out of which 2 are defective. If two light are chosen at random, find the probability that all the two light are defective?
a car runs 10,000 miles using 5 tyres interchangably. to have equal wornout by all tyres, how many miles each tyre should have run?
The rate of Interest on a sum of money is 9% p.a. for the first 3 years, 4% p.a. for the next 4 years, and 5% for the period beyond 7 years. If the S.I, Occured on the sum for the total period of 8 years is Rs. 540/-, the sum is
In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 60 questions and secures 140 marks, the no of questions he attempts correctly is :
If there are 4 peanuts in a box and Mary puts 8 more peanuts inside, how many peanuts are in the box?
The cost of an item was reduced from its usual selling price of $23.99 to $15.99. Which of the following is closest to the percent decrease in the price of the item?
If x^3 + y^3 = 200, then the greatest possible value of x is between
Mixture W is 20% oil and 80% material B by weight. If 2 more kilograms of oil are added to the 8 kilograms mixture W, how many kilograms of mixture W must be added to make a 70% material B in the new mixture?
A man has Rs.10350 in the form of Rs.50 notes and Rs.500 notes. The total number of notes are 126.Find the number of notes of Rs.50 denomination.
Eight friends go to see a movie at the local movie theater and sit in a row together. If there are two friends who refuse to sit next to each other, how many 8-person seating arrangements are possible?
A baseball pitcher won 80% of the games he pitched. If he pitched 35 ballgames, how many games did he win?
some money is distributed among A,B,C,D in the proportion of 1:3:4:2. If C gets $50 more than D, What is B's share?
If ghi < 0 and hi > 0, which of the following must be positive?
If x is 20 percent greater than 52, then x =
If a coin is tossed 7 times what is the probability that it will land either heads 7 times or tails 7 times?
A rectangular courtyard 3.78 meters long 5.25 meters wide is to be paved exactly with square tiles, all of the same size. what is the largest size of the tile which could be used for the purpose?
If there are 9 horizontal lines and 9 vertical lines in a chess board, how many rectangles can be formed in the chess board?
The perimeter of a triangle is 39 cm and the inradius of the triangle is 1.5 cm. What is the area of the triangle?
Approximately what percentage of the world’s forested area is represented by Finland given that Finland has 53.42 million hectares of forested land of the world’s 8.076 billion hectares of forested land.
Roja and Pooja start moving in the opposite directions from a pole. They are moving at the speeds of 8 km/hr and 3 km/hr respectively. After 4 hours what will be the distance between them?
8 men can dig a pit in 20 days.If a men work half as much again as a boy,then 4 men and 9 boys can dig a similar pit.Fint the days for 15 boys can dig?
the average monthly salary of 12 workers and 3 managers in a factory was Rs. 600. When one of the manager whose salary was Rs. 720, was replaced with a new manager, then the average salary of the team went down to 580. What is the salary of the new manager?
A train passes a station platform in 34 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
A pump can fill a tank with a water in 2 hours. Because of a leak, it took 2x1/3 hours to fill the tank. The leak can drain all the water of the tank in
Two cyclist start from the same places in opposite directions. One is going towards north at 5kmph and the other is going towards south 5kmph. What time will they take to be 50km apart?
Among three numbers, the first is twice the second and thrice the third. If the average of three numbers is 49.50, then what is the difference between the first and the third number?
In a 2000 m race, A beats B by 150 meters or 50 seconds. Find the speed of B?
In a village of 2,700 people, 900 people are over 70 years old and 1200 people are female. It is known that 40 percent of the females are younger than 70 years old. If no one in the village is 70 years old, what is the probability that a person chosen at random is either a male or younger than 70 years old?
A starts a business with Rs. 3500. After 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. Find out B's contribution in the capital.
An engine moves at the speed of 90 kmph without any coaches attached to it.Speed of the train reduces at the rate that varies directly as the square root of the number of coaches attached.When 9 coaches are attached speed decreases to 78 kmph.What will be the speed of train when 25 coaches are attached.
#p is defined as 2p-20 for any number p. What is p, if #(#(#p))=6?
A milk man has 20 liters of milk. If he mixes 5 liters of water, which is freely available, in 20 liters of pure milk.If the cost of pure milk is Rs.18 per liter,then the profit of the milkman, when he sells all the mixture at cost price is:
If 12 ounces of a strong vinegar solution are diluted with 50 ounces of water to form a four-percent vinegar solution, what was the concentration of the original solution?
In a group of 80 children and 10 youngsters, each child got sweets that are 15% of the total number of children and each youngster got sweets that are 25% of the total number of children. How many sweets were there?
A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is?
Seed mixture X is 40% ryegrass and 60% bluegrass by weight; seed mixture Y is 25% ryegrass and 75% fescue. If a mixture of X and Y contains 28% ryegrass, what percent of the weight of the mixture is from mixture X?
In a can, there is a mixture of milk and water in the ratio 4 : 5. If it is filled with an additional 8 litres of milk the can would be full and ratio of milk and water would become 6 : 5. Find the capacity of the can?
A and B can do a piece of work in 12 days and 16 days respectively. Both work for 3 days and then A goes away. Find how long will B take to complete the remaining work?
In a group of ducks and cows, the total number of legs are 24 more than twice the no. of heads. Find the total no.of buffaloes.
The cross-section of a cannel is a trapezium in shape. If the cannel is 15 m wide at the top and 9 m wide at the bottom and the area of cross-section is 636 sq m, the depth of cannel is?
Solution P is 20 percent lemonade and 80 percent carbonated water by volume; solution Q is 45 percent lemonade and 55 percent carbonated water by volume. If a mixture of PQ contains 65 percent carbonated water, what percent of the volume of the mixture is P?
In a group of people, if 30 people were made to stand in each column, 16 columns could be formed. If 48 people were made to stand in a column, how many columns could be formed?
A number of cats got together and decided to kill between them 999919 mice. Every cat killed an equal number of mice. Each cat killed more mice than there were cats. How many cats do you think there were?
A bag of cat food originally cost $14. After a 20% profit markup by the grocery store, it was then offered on sale for 10% off. What is the current sale price of the cat food?
A money lender finds that due to a fall in the annual rate of interest from 8% to 7 3/4 % his yearly income diminishes by Rs. 61.50, his capital is?
From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings?
Insert the missing number. 8, 7, 11, 12, 14, 17, 17, 22, (....)
The three solutions of the equation f(x) = 0 are - 4, 8, and 11. Therefore, the three solutions of the equation f(2 x) = 0 are
Ginger over the course of an average work-week wanted to see how much she spent on lunch daily. On Monday and Thursday, she spent $5.43 total. On Tuesday and Wednesday, she spent $3.54 on each day. On Friday, she spent $12.89 on lunch. What was her average daily cost?
The income tax in country X is 8% of any income up to $5000. For incomes over $5,000, an 8% tax is imposed on the first $5,000, and a 10% tax is imposed on the portion of the total income in excess of $5000. If Perry paid $950 in income tax last month, then what was Perry's income?
A and B together can do a piece of work in 8 days. If A alone can do the same work in 12 days, then B alone can do the same work in?
A windmill is taking advantage of strong air currents in order to produce electrical energy. On a typical day the wind speed is around 20 mph and in that speed the windmill produces 700 kw/h (kilowatts per hour). On a stormy day a windmill produces 20% more energy. How much kw/h can three windmills produce in two hours on a stormy day?
Rs.160 contained in a box consists of one rupee, 50 paisa and 25 paisa coins in the ratio 4:5:6. What is the number of 25 paisa coins?
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are drawn at random, what is the probability that at least one is green?
If Hema walks at 12 km/hr instead of 8 km/hr, she would have walked 20 km more. The actual distance travelled by Hema is ?
The speed of a car is 95 km in the first hour and 60 km in the second hour. What is the average speed of the car?
How many times digit 6 is used while writing numbers from 100 to 1400?
__2A x__B ____ CC In the multiplication problem above, A, B, and C represent distinct digits. If the sum of A and B is equal to 6, what is the value of C?
If 12 men can reap 120 acres of land in 36 days, how many acres of land can 54 men reap in 54 days?
In a certain mathematical activity, we have five cards with five different prime numbers on them. We will distribute these five cards among three envelope: all could go in any envelope, or they could be broken up in any way among the envelopes. Then in each envelop, we find the product of all the cards in that envelope: that is the “number” of the envelope. An envelope containing no cards has the number 1. We then put the three envelope numbers in order, from lowest to highest, and that is our set. How many different Y sets can be produced by this process?
Of the 200 employees at company X, 80 are full-time, and 150 have worked at company X for at least a year. There are 20 employees at company X who aren’t full-time and haven’t worked at company X for at least a year. How many full-time employees of company X have worked at the company for at least a year?
The total of a company's assets in 1994 was 100% greater than the total in 1993, which in turn was 300% greater than the total in 1992. If the total of the company's assets in 1992 was N dollars, what were the company's assets in 1994?
If n = 8^8 – 5, what is the units digit of n?
A pet store holds cats and dogs. If the difference between the number of cats and the number of dogs is 5. What could be the ratio of Cats to dogs in the pet store?
A and B together have Rs. 1210. If of A's amount is equal to of B's amount, how much amount does B have?
When 24 is divided by the positive integer d, the remainder is 4. Which of the following statements about d must be true? I. d is even II. dis a multiple of 5 III. d is a factor of 20
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 10 years ago. What is the current age of the oldest person for whom Jane could have baby-sat?
When 40 per cent of a number is added to another number the second number increases to its 140 per cent. What is the ratio between the first and the second number?
In a shop, the cost of 4 shirts, 4 pairs of trousers and 2 hats is $560. The cost of 9 shirts, 9 pairs of trousers and 6 hats is $1,290. What is the total cost of 1 shirt, 1 pair of trousers and 1 hat?
One year ago, the ratio of Sooraj's and Vimal's age was 6:7 respectively. Four years hence, this ratio would become 7:8. How old is Vimal?
If a and b are unique prime integers, which of the following must be odd?
A train running at a speed of 36 kmph crosses an electric pole in 12 seconds. In how much time will it cross a 350 m long platform?
A man can row downstream at the rate of 18 Kmph and upstream at 6 Kmph. Find the man’s rate in still water and rate of current?
A tank is filled by 3 pipes A,B,C in 3 hours. Pipe C is twice as fast as B and B is twice as fast as A. How much will pipe A alone take to fill the tank ?
An iron cubes of side 10 cm is hammered into a rectangular sheet of thickness 0.5 cm. If the sides of the sheet are in the ratio 1 : 5 the sides are
Pipe A can fill a tank in 10 hr, pipe B in 20hr and pipe C in 40hr. If all the pipes are open in how many hours will tank be filled?
If for any number N, f(N) is defined as the least integer that is greater than or equal to N^2, then what is the value of f(-1.5)?
Find the invalid no.from the following series 15 46 63 71 75 77 78
The function f(x) is defined for all positive integers x as the number of even factors of x and the function g(x) is defined for all positive integers x as the number of odd factors of x. For positive integers a and b if f(b)*g(a) = 0 and f(a) = 1, which of the following could be the least common multiple of a and b?
The profit earned by selling an article for $ 832 is equal to the loss incurred when the same article is sold for $ 448. What should be the sale price for making 55% profit?
In filling a room with gas 100 m * 10 m * 10 m the volumes of gas will be?
Three boys are ages 4, 6 and 7 respectively. Three girls are ages 5, 8 and 9, respectively. If two of the boys and two of the girls are randomly selected and the sum of the selected children's ages is r, what is the difference between the probability that r is even and the probability that r is odd?
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?
A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a king of heart is:
Today Chris ate 15 jellybeans. Bella ate 2/3 of the jellybeans Chris did, Frances ate 5 more jellybeans than Bella did , and Sandhya ate 20% more than Frances. How many jellybeans did Sandhya eat?
In a shop 40% of the articles are sold at a profit of 20% and the remaining at a loss of 10%.what is the overall profit/loss?
Vijay bought 160 shirts at the rate of Rs. 205 per shirt. The transport expenditure was Rs. 1400. He paid an octroi at the rate of Rs. 1.75 per shirt and labour charges were Rs. 320. What should be the selling price of one shirt, if he wants a profit of 20%?
A number is increased by 10% and then decreased by 10%, the final value of the number is ?
Mangala completes a piece of work in 9 days, Raju completes the same work in 21 days. If both of them work together, then the number of days required to complete the work is
What is the probability of getting a sum 9 from two throws of a dice?
In a covering a certain distance the speed of A and B are in the ratio of 6: 9, A takes 20 min more, than B to reach the destination. The time taken by A to reach the destination is:
In a renowned city, the average birth rate is 7 people every two seconds and the death rate is 2 people every two seconds. Estimate the size of the population net increase that occurs in one day.
9 baseball players each stand at different corners of a baseball diamond. The sides of the diamond are all of equal length. Two arrangements of baseball players are considered different only when the relative positions of the players differ. How many different ways can the baseball players arrange themselves around the diamond?
A is twice as fast as B. If B alone can do a piece of work in 24 days, in what time can A and B together complete the work?