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big_math_dataset

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An advertising agency finds that, of its 180 clients, 115 use Television, 110 use Radio and 130 use Magazines. Also, 85 use Television and Magazines, 75 use Television and Radio, 95 use Radio and Magazines. How many use all the three?
30 is subtracted from 40% of a number, the result is 50. Find the number?
A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good.
A retailer bought a machine at a wholesale price of $99 and later on sold it after a 10% discount of the retail price. If the retailer made a profit equivalent to 20% of the whole price, what is the retail price of the machine?
Eddy and Freddy start simultaneously from city A and they travel to City B and City C respectively. Eddy takes 3 hours and Freddy takes 4 hours to complete the journey. If the distance between City A and City B is 540 kms and City A and City C is 300 kms. What is the ratio of their average speed of travel? (Eddy: Fredd...
A group of 10 representatives is to be selected out of 16 seniors and 10 juniors. In how many different ways can the group be selected, if it should have 5 seniors and 5 juniors?
A, B and C enter into a partnership. They invest Rs. 40,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. IN what ratio will the profit be shared at the end of 3 years?
The difference between the place value and the face value of 6 in the numerical 856973 is
In how many ways can Ann, Bob, Chuck, Don and Ed be seated in a row such that Ann and Bob are not seated next to each other?
A car is running at a speed of 90kmph. What distance will it cover in 10sec?
The difference of two numbers is 11 and one-fifth of their sum is 9. Find the numbers.
Which of the following Equation is NOT equivalent to 25x^2 = y^2 - 9?Which of the following Equation is NOT equivalent to 25x^2 = y^2 - 4?
Find out the C.I on Rs.5000 at 4% p.a. compound half-yearly for 1 1/2 year?
The angles of a triangle are in the ratio 1 : 2 :3 . Find the measurement of the 3angles of triangle.
A circle is circumscribed around a quadrilateral, and the quadrilateral is ABCD, What is the value of arc BDA when angle A is 35 degrees?
A real estate agent received a 6% commission on the selling price of a house. If his commission was $8,880, what was the selling price of the house?
Find out the number of ways in which 6 rings of different types can be worn in 3 fingers?
A walks at 30 kmph and 30 hours after his start, B cycles after him at 48 kmph. How far from the start does B catch up with A?
What is the value of x^2yz − xyz^2, if x = -1, y = 1, and z = 3?
3 friends A, B, C went for week end party to McDonald’s restaurant and there they measure there weights in some order In 7 rounds. A, B, C, AB, BC, AC, ABC. Final round measure is 170kg then find the average weight of all the 7 rounds?
If the mean of numbers 12, x, 42, 78 and 104 is 62, then what is the mean of 128, 255, 511, 1023 and x?
A vessel contains a mixture of two milk M and N is the ratio 7 : 5. When 9 ltr of mixture are drawn off and the vessel is filled with B, the ratio of Mand N becomes 7 : 9. How many ltrof liquid M was contained by the can initially?
Tom and Beth each drove from Smallville to Crown City by different routes. Tom drove an an average speed of 40 miles per hour and completed the trip in 30 minutes. Beth's route was 5 miles longer, and it took her 20 minutes more than Tom to complete the trip. How many miles per hour was Beth's average speed on this tri...
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 man is
The ration between the present ages of P and Q is 1:2. If Q is 8 years older than P, what will be the ratio of the ages of P and Q after 8 years?
The sum of three numbers is 98. If the ratio between first and second be 2 : 3 and that between second and third be 5 : 8, then the second number is?
The last time Parag bought Diwali cards, he found that the four types of cards that he liked were priced Rs.2.50, Rs.3.50, Rs.3.00 and Rs.5.00 each. As Rahul wanted 50 cards, he took ten each of two kinds and fifteen each of the other two, putting down the exact number of 10 rupees notes on the counter payment. How man...
The cost to rent a small bus for a trip is x dollars, which is to be shared equally among the people taking the trip. If 10 people take the trip rather than 30, how many more dollars, in terms of x, will it cost per person?
In a series of three football matches between Germany and Argentina , the probability of Germany winning a match is 1/3 and the probability that the match ends in a draw is 1/4. If a win gets the team 2 points, a draw 1 point and a loss 0 Points, What is the probability that Germany will end up in 3 draws in the series...
A sales executive receives an annual bonus if he meets a certain target. This year, the salesman has so far sold 1/4 of last year's quota. If this year's quota is reduced by 20 percent from last year, how much target percentage of this year's target does he still need to complete to get bonus?
The product of two numbers is 9375 and the quotient, when the larger one is divided by the smaller, is 15. The sum of the numbers is :
In a deck of cards there are 52 cards numbered from 1 to 13. There are 4 cards of each number in the deck. If you insert 12 more cards with the number 10 on them and you shuffle the deck really good, what is the probability to pull out a card with a number 10 on it?
Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 12 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
Look at this series: 0.6, 0.3, ____, 0.075, 0.0375, ... What number should fill the blank?
A tap can fill a tank in 6 hours. After half the tank is filled, two more similar taps are opened. What is the total time taken to fill the tank completely?
Find out the C.I on Rs.2000 at 4% p.a. compound half-yearly for 1 1/2 years.
Excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 31 kmph. Of how many minutes does the train stop per hour?
A small beaker is 1/2 filled with salt water. Another beaker, which has five times the capacity of the small beaker, is 1/3 filled with fresh water. After dumping all of the salt water from the small beaker into the large beaker, to what fraction of its capacity will the large beaker be filled?
A man walks at a speed of 4 km/hr and runs at a speed of 7 km/hr. How much time will the man require to cover a distance of 10 1/2 km, if he completes half of the distance, i.e., (5 1/4) km on foot and the other half by running?
Given that E and F are events such that P(E) = 0.16, P(F) = 0.4 and P(E n F) = 0.4, find P (E|F) and P(F|E)
A group of 6 members to be made from 8 boys and 6 girls. How many ways of forming group provided that there will be exactly 3 boys?
A certain no. when divided by 80 leaves a remainder 25, what is the remainder if the same no.be divided by 15?
Seats for Maths, Physics and Biology are in the ratio of 9 : 7 : 8 respectively. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the respective ratio of increased seats?
An urn contains 5 black and 3 white balls. Two balls are drawn from the urn one after the other without replacement. What is the probability that both drawn balls are black?
John has 12 clients and he wants to use color coding to identify each client. If either a single color or a pair of two different colors can represent a client code, what is the minimum number of colors needed for the coding? Assume that changing the color order within a pair does not produce different codes.
A wolf eats 5 Kg of meat in 2 days. A baby tiger eats 3 Kg of meat in 4 days. How much meat can the two combined eat in three days?
In how many ways can a team of 5 be chosen out of a batch of 8 players?
All factors of a positive integer X are multiplied and the product obtained is X^3. If X is greater than 1, how many factors does X have?
The length of rectangle is thrice its breadth and its perimeter is 96 m, find the area of the rectangle?
The scoring system in a certain football competition goes as follows: 3 points for victory, 1 point for a draw, and 0 points for defeat. Each team plays 20 matches. If a team scored 12 points after 5 games, what is the least number of the remaining matches it has to win to reach the 40-point mark by the end of the tour...
5, 11, 17, 25, 33, 43, ?
A letter lock consists of three rings each marked with thirteen different letters. The number of distinct unsuccessful attempts to open the lock is at the most ?
Victor gets 95 % marks in examinations. If these are 285 marks, find the maximum marks.
Which number is the odd one out ? 9654 4832 5945 7642 7963 8216 3669
There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is:
The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 5 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?
Uncle Bruce is baking chocolate chip cookies. He has 40 ounces of dough (with no chocolate) and 20 ounces of chocolate. How much chocolate is left over if he uses all the dough but only wants the cookies to consist of 25% chocolate?
A straight fence is to be constructed from posts 6 inches wide and separated by lengths of chain 7 feet long. If a certain fence begins and ends with a post, which of the following could not be the length of the fence in feet? (12 inches = 1 foot)
y = 248 - 198x Which of the following values of x gives the greatest value of y in the equation above?
A number when divided by 45, gives 30 as quotient and 0 as remainder. What will be the remainder when dividing the same number by 15
If 525/999=0.525, what is the 81st digit to the right of the decimal point in the decimal equivalent of the fraction?
Car Dealership X, the total profit from sales increased by 8 percent over the previous years, while the number of cars sold decreased by 8 percent over the previous years. Approximately what was the average percent increase in profit per car over the previous year.
A cashier mentally reversed the digits of one customer's correct amount of change and thus gave the customer an incorrect amount of change. If the cash register contained 9 cents more than it should have as a result of this error, which of the following could have been the correct amount of change in cents?
A sum of money is put out at compound interest for 2 years at 20%. It would fetch Rs.964 more if the interest were payable half-yearly, then it were pay able yearly. Find the sum.
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?
The perimeters of two squares are 44 cm and 32 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares .
A housewife has 11 litre of solution that contains sodium carbonate solution and benzene solution in the ratio 3 : 1. She adds 250 ml of 3 : 2 solution of sodium carbonate and benzene solution to it and then uses 250 ml of the combined mixture to make strong organic solution How much of pure sodium carbonate solution i...
Set X consists of the integers from 10 to 15, inclusive, while set Y consists of the integers from 5 to 10, inclusive. How many distinct integers do belong to the both sets at the same time?
Which of the following is the Highest Common Factor of 49, 63 and 77?
A hare and a jackal are running a race. Three leaps of the hare are equal to four leaps of the jackal. For every one leap of the hare, the jackal takes two leaps. Find the ratio of the speed of the hare to the speed of the jackal.
In how many different number of ways 4 boys and 3 girls can sit on a bench such that girls always sit together?
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue?
In Goshawk-Eurasian nature reserve 30 percent of the birds are Hawks, and 40 percent of the non-Hawks are Paddyfield-Warblers. If there are 25 percent as many Kingfishers as Paddyfield-Warblers in the reserve, then what percent of the birds in the nature reserve are not Hawks, Paddyfield-Warblers, or Kingfishers?
A trader purchased on old bicycle for 480. He spent 20% of the cost on its repair. If he wants to earn 144 as net profit on it, how much percentage should he add to the purchase price of the bicycle?
The present worth of $169 due in 2 years at 4% per annum compound interest is?
What least number mustbe subtracted from 427398 so that remaining no.is divisible by 15
Here is 15 dots. If you select 3 dots randomly, what is the probability that 3 dots make a triangle?
Ten animals of a circus has to be placed inside in ten cages one in each cage. If 4 of the cage are too small for 6 of the animal then find the number of ways of caging the animal.
What least number should be added to 1015, so that the sum is completely divisible by 25?
If Re.250 amounts to Rs.550 over a period of 4 years. What is the rate of simple interest?
if x/4-x-3/6=1,then find the value of x.
5 men are equal to as many women as are equal to 8 boys. All of them earn Rs.105 only. Men’s wages are?
Solve the given two equations and find the inequality of X and Y.(a) x^2-7x+12=0 and (b) y^2+y-12=0
Laura can paint 1/x of a certain room in 20 minutes. What fraction W of the same room can Joseph paint in 20 minutes if the two of them can paint the room in an hour, working together at their respective rates?
In a graduating class, the difference between the highest and lowest salaries is $100,000. The median salary is $50,000 higher than the lowest salary and the average salary is $20,000 higher than the median. What is the minimum number of students Q in the class?
A welder received an order to make a 1 million liter cube-shaped tank. If he has only 4x2 meter sheets of metal that can be cut, how many metal sheets will be required for this order P? (1 cubic meter = 1,000 liters)
12 business executives and 7 chairmen meet at a conference. If each business executive shakes the hand of every other business executive and every chairman once, and each chairman shakes the hand of each of the business executives but not the other chairmen, how many handshakes would take place?
If north becomes south-west ant south-west becomes east and all the directions changed in the same manner,then what will be the direction for south-east?
Jane makes toy bears. When she works with an assistant, she makes 80 percent more bears per week and works 10 percent fewer hours each week. Having an assistant increases Jane’s output of toy bears per hour by what percent Q?
In the xy-plane, the points (c, d), (c, -d), and (-c, -d) are three vertices of a certain square. If c < 0 and d > 0, which of the following points M is in the same quadrant as the fourth vertex of the square?
Rs. 925 becomes Rs. 956 in 3 years at a certain rate of simple interest.If the rate of interest is increased by 4% ,What amount will Rs. 925 become in 3 years ?
If x < y < z and y - x > 5, where x is an even integer and y and z are odd integers, what is the least possible value Q of z - x?
Find large number from below question The difference of two numbers is 1385. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
A Mersenne number is a positive integer that is one less than any power of 2. A Mersenne prime is a Mersenne number that also happens to be prime. The largest known prime number, 2^(43112609) - 1, is a Mersenne prime. If the largest known Mersenne prime were multiplied by the smallest Mersenne prime, which of the follo...
Two trains of length 200 m and 300 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 36 kmph and 72 kmph. In how much time will the trains cross each other?
The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on atleast one ticket is?
There are 100 students in a college class of which 36 are boys studying Tamil & 13 girls not studying Tamil. If there are 55 girls in all, then the probability that a boy picked up at random is not studying Tamil, is
If the average cost of a house was $50,000 in 1960 and was x in 2005, what was the average increase in home prices per year over this period?
The total of the ages of Amar, Akbar and Anthony is 50 years. What was the total of their ages three years ago ?
Vijay bought 160 shirts at the rate of Rs. 200 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%?