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big_math_dataset

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A and B started business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B's share in the total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?
The area of a square field is 28808 sq m. How long will a lady take to cross the field diagonally at the rate of 7.2 km/hr?
A rectangular table seats 7 people on each of two sides, with every person directly facing another person across the table. If 14 people choose their seats at random, what is probability that person P directly faces person Q?
A man & his wife appear in an interview for 2vacancies in the same post. The probability of husband's selection is 1/7 & the probability of wife's selection is 1/5. What is the probability that only 1 of them is selected ?
If a, t, and c are consecutive even integers and a < t < c, all of the following must be divisible by 4 EXCEPT
The difference between a two digit number and the number obtained by interchanging the positions of its digit is 36. What is the difference between the two digits of that number?
How many positive numbers not greater than 4300 can be formed using the digits 0,1,2,3,4 where repeatation is allowed?
A train crosses a platform of 200 m in 20 sec, same train crosses another platform of length 350 m in 25 sec. then find the length of the train?
The ratio of three numbers is 5:3:4 and their sum is 108. The second number of the three numbers is?
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 16 months?
Worker A takes 10 hours to do a job. Worker B takes 12 hours to do the same job. How long it take both A & B, working together but independently, to do the same job?
The simple form of the ratio 4/2:2/5 is?
What is the smallest no. which must be added to 8261955 so as to obtain a sum which is divisible by 11?
A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 700 m long?
There are 5 cars to be displayed in 5 parking spaces with all the cars facing the same direction. Of the 5 cars, 3 are red, 1 is blue and 1 is yellow. If the cars are identical except for color, how many different display arrangements of the 5 cars are possible?
If w is 40 percent less than e, e 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?
Which of the following is NOT the sum of the squares of two integers?
Which of the following cannot be the square of an integer
Two cubes of their volumes in the ratio 64 : 125. The ratio of their surface area is:
Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is ?
What is the banker's discount if the true discount on a bill of Rs.540 is Rs.90 ?
In one year, the population, of a village increased by 10% and in the next year, it decreased by 10%. If at the end of 2nd year, the population was 7920, what was it in the beginning?
During a trip, Francine traveled x percent of the total distance at an average speed of 40 miles per hour and the rest of the distance at an average speed of 80 miles per hour. In terms of x, what was Francine's average speed for the entire trip?
The ratio between the present ages of P and Q is 6:7. If Q is 4 years old than P, what will be the ratio of the ages of P and Q after 4 years
Pipes A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in:
Simple interest on a certain sum is 9.8 over 20 of the sum. Find the rate per cent and time, if both are equal.
An businessman earns an income of Re 2 on the first day of his business. On every subsequent day, he earns an income which is just double of that made on the previous day. On the 20th day of business, he earns an income of:
Walking 6/7th of his usual speed, a man is 12 minutes too late. The usual time taken by him to cover that distance is :
Raju age after 25 years will be 5 times his age 5 years back, What is the present age of Raju
What is the least integer that is a sum of four different prime numbers each greater than 10?
At Company K, 15 percent of the employees are secretaries and 60 percent are salespeople. If there are 55 other employees of Company K, how many employees does Company K have?
If you divide 7^93 by 5, which remainder do you get?
An athlete runs 200 meters race in 18sec. His speed is?
The number of roots common between the two equations x3+3x2+4x+5=0x3+3x2+4x+5=0 and x3+2x2+7x+3=0x3+2x2+7x+3=0 is
If a quality control check is made inspecting a sample of 2 light bulbs from a box of 8 lighbulbs, how many different samples can be chosen?
A boy want to make a cuboid of dimension 5m, 6m, 7m from small cubes of .04 m3. Later he realized he can make same cuboid by making it hollow. Then it takes some cubes less. What is the no. of these cubes?
If X,Y is 20%,25% greater than Z then how much percentage is X smaller than Y?
A data set with a mean of 60 has a standard deviation of 8.7. Which of the following is the smallest number that falls within one standard deviation of the mean?
Anne traveled from City A to City B in 4 hours, and her speed was between 20 miles per hour and 40 miles per hour. John traveled from City A to City B along the same route in 2 hours, and his speed was between 45 miles per hour and 60 miles per hour. Which of the following could be the distance, in miles, from City A t...
At the time of marriage, a man was 6 years elder to his wife. 14 years after their marriage, his age is 8/7 times the age of his wife. What was wife's age at the time of marriage ? Choose one answer.
g(a) is defined as the product of all even integers k such that 0 < k ≤ x. For example, g(14) = 2 × 4 × 6 × 8 × 10 × 12 × 14. If g(y) is divisible by 4^11, what is the smallest possible value for a?
A merchant has 1000 kg of sugar part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The Quantity sold at 18% profit is
A train 960 m long passed a pole in 24 sec. How long will it take to pass a platform 800 m long?
All the students of class are told to sit in circle shape. Here the boy at the 6 th position is exactly opposite to 16 th boy. Total number of boys in the class?
The speed of a boat in upstream is 75 kmph and the speed of the boat downstream is 115 kmph. Find the speed of the boat in still water and the speed of the stream?
Data sufficiency question: There are six people. Each cast one vote in favor of other five. Who won the elections? i) 4 older cast their vote in favor of the oldest candidate ii) 2 younger cast their vote to the second oldest
A committee has 5 men and 6 women. What are the number of ways of selecting 2 men and 3 women from the given committee?
What is the smallest positive integer x such that 864x is the cube of a positive integer
The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 12 units?
A is twice as good a work man as B and together they finish a piece of work in 24 days.The number of days taken by A alone to finish the work is :
For a particular American football game, the probability of a team's quarterback throwing a completed pass on each throw is 3/10. What is the least number of times that the quarterback should throw the ball that will increase the probability of getting a completed pass at least once to more than 50%.
If x and y are multiples of 2 then which are all the multiples of 2 1) x*y 2) x^y 3) x+y 4) x-y 5) x/y
A father was as old as his son's present at the time of your birth. If the father's age is 38 years now, the son's age 5years back was?
what is the sum of the first 30 odd natural numbers
How many times digit 10 is used while writing numbers from 100 to 1000?
Workers at a campaign office have 3000 fliers to send out. If they send out 1/5 of them in the morning and 1/4 of the remaining ones out during the afternoon, how many are left for the next day?
Arun went for a movie nine days ago. He goes to watch movies only on Thursdays. What day of the week is today?
By selling 12 toffees for a rupee, a man loses 20%. How many for a rupee should be sell to get a gain of 20%?
When working alone, painter W can paint a room in 2 hours, and working alone, painter X can paint the same room in f hours. When the two painters work together and independently, they can paint the room in 3/4 of an hour. What is the value of f?
If 2 tables and 3 chairs cost Rs, 3500 and 3 tables and 2 chairs cost Rs. 4000, then how much does a table cost ?
A type A machine can complete a job in 5 hours and a type B machine can complete the job in 7 hours. How many hours will it take 2 type A machines and 3 type B machines working together and independently to complete the job?
A boat ma goes 2km against the current of the stream in 1 hr and goes 1 km along the current in 10 min. how long will it take to go 5 km in stationary water
A bowl was filled with 10 ounces of water, and 0.012 ounce of the water evaporated each day during a 50-day period. What percent of the original amount of water evaporated during this period?
By selling 12 toffees for a rupee, a man loses 20%. How many for a rupee should be sell to get a gain of 20%?
If John invested $ 1 at 6 percent interest compounded annually, the total value of the investment, in dollars, at the end of 4 years would be
2, -6, 18, -54, 162, (...)
A trader bought a car at 20% discount on its original price. He sold it at a 40% increase on the price he bought it. What percent of profit did he make on the original price?
A man can row his boat with the stream at 22 km/h and against the stream in 10 km/h. The man's rate is?
Every year an amount increases by 1/8th of itself. How much will it be after two years if its present value is Rs.2880?
Rahim travels 4 Kms in 15 minutes and another 4 Kms in 5 mins. Deepak travels at the average speed of Rahim. Then what could be the distance covered by him in 50 minutes:
If the positive integer x is a multiple of 3 and the positive integer y is a multiple of 3, then xy must be a multiple of which of the following? I. 3 II. 12 III. 9
A man buys a cycle for Rs. 800 and sells it at a loss of 15%. What is the selling price of the cycle?
If n divided by 7 has a remainder of 2, what is the remainder when 5 times n is divided by 7?
If the simple interest on a sum of money for 2 years at 5% per annum is Rs.50, what is the compound interest on the same at the same rate and for the same time?
Find the product of the local value and absolute value of 6 in 564823
In how much time will a train of length 130 m, moving at 36 kmph cross an electric pole?
The original price of a certain TV set is discounted by s percent, and the reduced price is then discounted by 2s percent. If P is the original price of the TV Set, which of the following represents the price of the television set after the two successive discounts?
A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B = 1:3 and B:C = 1:5. If the total runs scored by all of them are 95, the runs scored by C are?
There are 15 stamps from which two stamps will be selected. Tom has five stamps which are same as five of the ten stamps to be selected. What is the probability that two stamps selected will not be one of the stamps that Tom has?
During the first two weeks of June, the total rainfall in Springdale was 40 inches. If the rainfall during the second week was 1.5 times the rainfall during the first week, what was the rainfall in inches during the second week of June?
On selling 17 balls at Rs. 720, there is a loss equal to the cost price of 5 balls. The cost price of a ball is:
A sock drawer contains 3 socks, each one a different solid color. The colors of the socks are red, orange and violet. If a person reaches into the drawer and pulls out two socks, how many different color combinations are possible in the selected pair of socks?
A shopkeeper buys two articles for Rs.1000 each and then sells them, making 60% profit on the first article and 60% loss on second article. Find the net profit or loss percent?
A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 265 m long?
-20 , -16 , -12 , -8 .... In the sequence above, each term after the first is 3 greater than the preceding term. Which of the following could not be a term in the sequence?
If x and y are integers such that |y + 3| ≤ 3 and 2y – 3x + 6 = 0, what is the least possible value T of the product xy?
In a certain alphabet, 8 letters contain a dot and a straight line. 24 letters contain a straight line but do not contain a dot. If that alphabet has 40 letters, all of which contain either a dot or a straight line or both, how many letters contain a dot but do not contain a straight line?
A man invests Rs. 6,000 at the rate of 5% per annum. How much more should he invest at the rate of 8%, so that he can earn a total of 6% per annum?
When a certain number X is divided by 63, the remainder is 11. What is the remainder when X is divided by 9?
Three pipes of same capacity can fill a tank in 8 hours. If there are only two pipes of same capacity, the tank can be filled in.
The ratio between the present ages of P and Q is 6:7. If Q is 4 years old than P, what will be the ratio of the ages of P and Q after 4 years?
Three unbiased coins are tossed. What is the probability of getting at most two heads?
Two numbers are in the ratio 3:5. If 9 be subtracted from each, they are in the ratio of 9:17. The first number is:
How many 4-digit numbers (ABCD) can be formed such that |A – D| = 2?
The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 45 kmph, find the speed of the stream?
Village X has a population of 68000, which is decreasing at the rate of 1200 per year. Village Y has a population of 42000, which is increasing at the rate of 800 per year .in how many years will the population of the two villages be equal?
Shweta buys a product at 25% discount rate. At what % over the cost price should she sell the product to make an overall 25% profit over the listed price?
If each year the population of the country grows by 10%, how many years will elapse before the population of the country doubles?
The ratio of the present ages of P and Q is 3:4. 5 years ago, the ratio of their ages was 5:7. Find the their present ages?
The number of cars present at a particular time was measured at 2,999 different locations on Tuesday and on Wednesday. The number of locations that had more cars on Wednesday was 10% higher than the number of locations that had more cars on Tuesday. How many of the locations had more cars on Tuesday?