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big_math_dataset

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Out of 6 consonants and 3 vowels, how many words of 4 consonants and 2 vowels can be formed?
The probability of Sam passing the exam is 1/4. The probability of Sam passing the exam and Michael passing the driving test is 1/7. What is the probability of Michael passing his driving test?
If 8^x = 2^21, what is x?
An old priest fell on a bottom of the well of a church. The well is 15 inches deep. At day time, the old priest climbs 5-inches but when at dark he slip back 4 inches. In how many days priest will come out of the well ?
Company S produces two kinds of stereos: basic and deluxe. Of the stereos produced by Company S last month, 2/3 were basic and the rest were deluxe. If it takes 6/5 as many hours to produce a deluxe stereo as it does to produce a basic stereo, then the number of hours it took to produce the deluxe stereos last month wa...
If 6a = 7b = 20, then 84ab =
A gang of 8 boys goes on an tour in 2 cars, of which 1 canseat 5 & the other only 4. In how many ways can they travel?
If a certain number is divisible by 25 and 38, it is NOT necessarily divisible by which of the following?
An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 1 hours, it must travel at a speed of:
The sector of a circle has radius of 21 cm and central angle 135o. Find its perimeter?
The “d-number” of a number x is defined as the ones digit of 2^x. Antony rolls a die with 6 sides labeled with the integers from 1 to 6, each of which has an equal probability of landing face-up. He then takes 3^d, where d is the d-number of the result of his die roll, and plots 3^d on a number line as the point A. Fin...
A can run 4 times as fast as B and gives B a start of 75 m. How long should the race course be so that A and B might reach in the same time?
A's speed is 15/13 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 B beats A by 40% of the length of the race?
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 25%?
A, B and C can do a piece of work in 7 days, 21 days and 28 days respectively. How long will they taken, if all the three work together?
A man can row his boat with the stream at 24 km/h and against the stream in 10 km/h. The man's rate is?
The cost of 9 kgs. of sugar is Rs.279. What is the cost of .153 kgs. of sugar?
It is required to fix a pipe such that water flowing through it at a speed of 7 metres per minute fills a tank of capacity 440 cubic metres in 10 minutes. The inner radius of the pipe should be :
What is the next number of the following sequence. 6, 9, 18, 45, 108, 351, ..
If x/4 – (x – 3)/5 = 1, then find the value of x.
In the first M games of a team's season, the ratio of the team's wins to its losses was 1:3. In the subsequent N games, the ratio of the team´s wins to losses was 2:3. If M:N = 4:5, what was the ratio of the team's wins to its losses for all M+N games?
10 camels cost as much as 24 horses, 16 horses cost as much as 4 oxen and 6 oxen as much as 4 elephants. If the cost of 10 elephants is Rs.170000, find the cost of a camel?
P and Q are both positive integers. When P is divided by Q, the remainder is some positive integer D, and when P is divided by (Q + 8), the remainder is also D. If P/Q = 1020.75 and P/(Q + 8) = 816.6, then which of the following gives the correct set of {D, Q}?
A 12% item produces 20%. The market value of the item is:
What is the value of √25% ?
A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man?
The sale price sarees listed for Rs.400 after successive discount is 15% and 5% is?
If a, b and c are even integers, which of the following could be the value of a^2 + b^2 + c^2?
A train traveling at 36 kmph crosses a platform in 30 seconds and a man standing on the platform in 12 seconds. What is the length of the platform in meters?
The probability that a number selected at random from the first 50 natural numbers is a composite number is
Two trains of equal are running on parallel lines in the same direction at 48km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is?
If p/q = 3/11 , then 2p+q= ?
Two trains 140 m and 180 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
Simplify 25+[5−(6+2(7−8−5¯¯¯¯¯¯¯¯¯¯¯))]
If the integer n has exactly five positive divisors, including 1 and n, how many positive divisors does √n have?
Find the value of x from the below equation? : x^2+5x+25 = 0
A person purchased a TV set for Rs. 25000 and a DVD player for Rs. 8000. He sold both the items together for Rs. 42900. What percentage of profit did he make?
In how many different number of ways 4 men and 1 women can sit on a shopa which can accommodate persons?
P started from his house towards west. After walking a distance of 25 m. He turned to the right and walked 10 m. He then again turned to the right and walked 15 m. After this he is to turn right at 1350 and to cover 30 m. In which direction should he go?
The standard deviation of a normal distribution of data is 2, and 3 standard deviations below the mean is greater than 47. What is a possible value for the mean of the distribution?
Employees of a certain company are each to receive a unique 6-digit identification code consisting of the digits 0, 1, 2, 3, 4, and 5 such that no digit is used more than once in any given code. In valid codes, the second digit in the code is exactly twice the first digit. How many valid codes are there?
An artist who needs to buy only paint and canvas finds that the cost of canvas has decreased by 40 percent and the cost of paint has decreased by 60 percent. If paint previously accounted for 4 times as much of the expense of painting as did canvas, by what percent did the total cost for paint and canvas decrease?
Out of four numbers ,the average of first three is 16 and that of the last three is 15. If the last number is 21,the first number is :
The average earning of amechanic for the first 4days of a week is Rs.11 and for the last four days is Rs.22. If heearns Rs.20 on the fourth day, his average earning forthe whole week is?
On a ranch, a rancher can place a loop of rope, called a lasso, once in every 2 throws around a cow’s neck. What is the probability that the rancher will be able to place a lasso around a cow’s neck at least once in 6 attempts?
A 415 m long train is running at 63 km/hr. In how much time will it cross a tunnel 285 m long?
When a certain number X is divided by 72, the remainder is 19. What is the remainder when X is divided by 8?
In how many ways a President, VP and Water-boy can be selected from a group of 10 people.
Difference between the length &breadth of a rectangle is 2 m. If its perimeter is 76 m, then its area is??
A certain galaxy is known to comprise approximately 5 x 10^11 stars. Of every 50 million of these stars, one is larger in mass than our sun. Approximately how many stars in this galaxy are larger than the sun?
A man traveled from the village to the post-office at the rate of 25 kmph and walked back at the rate of 4 kmph. If the whole journey took 5 hours 48 minutes, find the distance of the post-office from the village ?
The average age of a group of 10 persons was decreased by 3 years when one person, whose age was 42 years, was replaced by a new person. Find the age of the new person?
600 x 223 + 600 x 77 = ?
Find the ones digit of 73^352
In a class, 30% of the students offered English, 20% offered Hindi and 10% offered both. If a student is selected at random, what is the probability that he has offered English and Hindi
A rectangular wall is covered entirely with two kinds of decorative tiles: regular and jumbo. 1/3 of the tiles are jumbo tiles, which have a length three times that of regular tiles and have the same ratio of length to width as the regular tiles. If regular tiles cover 40 square feet of the wall, and no tiles overlap, ...
An IT company pays an average salary of $2000 for its 30 team leads and $5000 for it 2 managers. What is the average salary for the company?
If a, b, c, d, e and f are integers and (ab + cdef) < 0, then what is the maximum number S of integers that can be negative?
What is the greatest possible length which can be used to measure exactly the lengths 18 m, 40 m and 6 m 50cm?
A gym offers 11 levels of fitness classes, and in an attempt to reward those who progress toward higher levels of fitness it charges $50 less per course for each level of fitness. Jessica completed all 11 levels by taking one course at each level, and her total cost was $4675. What is the cost V for a course at the gym...
If X and Y are sets of integers, X # Y denotes the set of integers that belong to set X or set Y, but not both. If X consists of 8 integers, Y consists of 18 integers, and 6 of the integers are in both X and Y, then X # Y consists of how many integers?
In a certain game, you perform three tasks. You flip a quarter, and success would be heads. You roll a single die, and success would be a four. You pick a card from a full playing-card deck, and success would be picking a spades card. If any of these task are successful, then you win the game. What is the probability o...
Difference between the length &breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is?? We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103?
A can contains a mixture of liquids A and B is the ratio 7:5. When 18 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7:9. How many liter of liquid A was contained by the can initially?
A worker earns $20 on the first day and spends $15 on the second day. The worker earns $20 on the third day and spends $15 on the fourth day. If this pattern continues, on which day will the worker first reach a net total of $90?
I have a few sweets to be distributed. If I keep 2, 3 or 4 in a pack, I am left with one sweet. If I keep 5 in a pack, I am left with none. What is the minimum number of sweets I have to pack and distribute ?
The sequence of numbers a1, a2, a3, ..., an is defined by an = 1/n - 1/(n+2) for each integer n >= 1. What is the sum of the first 80 terms of this sequence?
A train 2500 m long is running at the speed of 30 km / hr. Find the time taken by it to pass a man standing near the railway line in seconds
Which number doesn't belong to the following sequence?
If the average of ten numbers is 30, then which of the following could be the standard deviation of the ten numbers? I. 0 II. 30 III. 20
The total age of A and B is 12 years more than the total age of B and C. C is how many years younger than A?
A reduction of 15% in the price of wheat enables a house wife to obtain 3 kgs more for Rs.500, what is the reduced price for kg?
In a sample of associates at a law firm, 30 percent are second-year associates, and 60 percent are not first-year associates. What percentage of the associates at the law firm have been there for more than two years?
Alice is trying to plan her budget. She knows that she has $4000 to spend this month. She needs to budget equal amounts on rent, food, utilities, savings, and spending money. She also wants to divide her spending money into four equal categories: Books, Clothes, Gifts, and Restaurants. How much money should Alice budge...
The amount of water (in ml) that should be added to reduce 9 ml. Lotion, containing 50% alcohol, to a lotion containing 20% alcohol, is?
By selling 50 meters of cloth. I gain the selling price of 15 meters. Find the gain percent?
A bag contains 7 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour iS?
In a apartment, 30% of the people speak English, 20% speak Hindi and 10% speak both. If a people is selected at random, what is the probability that he has speak English or Hindi?
20, 19, 17, ?, 10, 5
Of the 200 students at University XYZ majoring in one or more of the engineering disciplines, 150 are majoring in electrical and 150 are majoring in mechanical. If at least 30 of the students are not majoring in either electrical or mechanical, then the number of students majoring in both electrical and mechanical coul...
Express a speed of 720 kmph in meters per second?
18 men can complete a piece of work in 20 days. In how many days can 12 men complete that piece of work?
5 speakers gathered to deliver speeches on two topics. Even though 5 speeches were initially planned to be delivered, due to lack of time only 2 speeches were finally decided to be delivered. Topics are to be spoken in a specific order and the speeches differ with respect to speaker or topic. How many such two speeches...
Two kinds of Vodka are mixed in the ratio 1:2 and 2:1 and they are sold fetching the profit 10% and 25% respectively. If the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4/3 and 5/3 times respectively, then the mixture will fetch the profit of
The ratio of the ages of Mini and Minakshi is 4 : 3. The sum of their ages is 28 years. The ratio of their ages after 8 years will be
The ratio of P's and Q's ages is 5 : 7. If the difference between the present age of Q and the age of P six years hence is 2 then what is the total of present ages of P and Q?
David spends $320 buying his favorite dolls. If he buys only small Monkey dolls, which are $3 cheaper than the large Monkey dolls, he could buy 24 more dolls than if he were to buy only large Monkey dolls. How much does a large Monkey doll cost?
How many seconds will a 500 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
The mean daily profit made by a shopkeeper in a month of 30 days was Rs. 350. If the mean profit for the first fifteen days was Rs. 265, then the mean profit for the last 15 days would be
Michelle deposited a certain sum of money in a savings account on July 1st, 2007. She earns an 6.4% interest compounded semiannually. The sum of money in the account on December 31st, 2009 is approximately what percent of the initial deposit?
How many times in a day, are the hands of a clock in straight line but opposite in direction?
A basketball team composed of 12 players scored 100 points in a particular contest. If none of the individual players scored fewer than 7 points, what is the greatest number of points E that an individual player might have scored?
If there are 664,579 prime numbers among the first 10 million positive integers, approximately what percent of the first 10 million positive integers are prime numbers?
Twenty four men can do a work in 35 days. How many men are required to complete the work in 21 days?
An athlete runs 150 metres race in 24 seconds. What is his speed?
The radius of a circular wheel is 1.75 m, how many revolutions will it make in traveling 1 km?
Left shifting a number by 1 is always equivalent to multiplying it by 2.
An outlet pipe can empty 2/3 rd of a cistern in 12 minutes. In 8 minutes, what part of the cistern will be emptied?
Isaac’s salary is reduced by 60% and then reduced salary is increased by 60%. Find ,how many percentage his present salary is less as compared to his previous salary?
14 different biology books and 8 different chemistry books lie on a shelf. In how many ways can a student pick 2 books of each type?