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big_math_dataset

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If y exceeds x by 25%, then x is less than y by?
In a 500 member association consisting of men and women, exactly 20% of men and exactly 50 % women are homeowners. What is the least number of members who are homeowners?
7/9 of 3/5 of a number is greater than 2/9 of 5/6 of the same number by 152. What is half of that number?
In a class of 120 students, 25 did not opt for math. 10 did not opt for science and 2 did not opt for either. How many students of the class opted for both math and science?
The number N is 6,2X4, where X represents the ten's digit. If N is divisible by 9, what is the value of X?
A man invested Rs. 1552 in a stock at 97 to obtain an income of Rs. 128. The dividend from the stock is:
A Scooter is sold for Rs. 65000, a shop keeper gains 25%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is?
How many 6 digit number can be formed from the digits 1, 2, 3, 4, 5, 6 which are divisible by 4 and digits are not repeated?
The current birth rate per thousand is 50, where as corresponding death rate is 10 per thousand. The net growth rate in terms of population increase in percent is given by?
A machine puts c caps on bottles in m hours. How many hours will it take to put caps on b bottles?
If 5% more is gained by selling an article for Rs. 350 than by selling it for Rs. 320, the cost of the article is
How many of the positive factors of 24 are not factors of 26
Calculate the HCF of 64, 318, 250
A certain cube floating in a bucket of water has between 80 and 90 percent of its volume below the surface of the water. If between 6 and 13 cubic centimeters of the cube's volume is above the surface of the water, then the length of a side of the cube is approximately
the radius of the circle is reduced from 5cm to 4cm then the % change of area .
Sum of the squares of three numbers is 138 and the sum of their products taken two at a time is 131. Find the sum?
Balls of equal size are arranged in rows to form an equilateral triangle. the top most row consists of one ball, the 2nd row of two balls and so on. If 1104 balls are added, then all the balls can be arranged in the shape of square and each of the sides of the square contain 8 balls less than the each side of the trian...
Find the probability that a number selected from numbers 1, 2, 3,..., 30 is a prime number, when each of the given numbers is equally likely to be selected?
The price of a car is marked at $10,000. If the car has successive discounts of 25%, 20% and 10%, then at what price does a customer buy the car?
Each of the integers from 0 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into a hat. If 2 of the slips are the drawn, without replacement, what is the probability that both have a even number written on it?
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 75 km/hr?
John was thrice as old as Tom 6 yrs back. He will be 5/3 times as old as Tom 6 years hence. How old is Tom today?
the cyclist walking at a constant rate of 15 miles per hour is passed by a car traveling in the same direction along the same path at 60 miles per hour. the car stops to wait for the cyclist for 6 minutes after passing her, while the cyclist continues to go at her constant rate, how many minutes must the car wait until...
A dishonest dealer professes to sell goods at the cost price but uses a weight of 840 grams per kg, what is his percent?
The visitors of a modern art museum who watched a certain Picasso painting were asked to fill in a short questionnaire indicating whether they had enjoyed looking at the picture and whether they felt they had understood it. According to the results of the survey, all 110 visitors who did not enjoy the painting also did...
A person started from point A to point B and returned back to A with a speed of 60 kmh. If the distance between A and B is 120km, calculate the time he travelled
If the sum of three consecutive even numbers is 44 more than the average of these numbers, then the largest of these numbers is?
If a: b :: 3 : 7, then what is (5a+6b): (a-2b)?
A is twice as good a workman as B and they took 8 days together to do the work B alone can do it in.
A can do a job in 16 days, B can do same job in 12 days. With the help of C they did the job in 4 days. C alone can do the same job in how many days ?
Bert and Rebecca were looking at the price of a condominium. The price of the condominium was 25% more than Bert had in savings, and separately, the same price was also 50% more than Rebecca had in savings. What is the ratio of what Bert has in savings to what Rebecca has in savings.
A cylindrical vessel of a certain height and radius can hold 30 liters of water in it when filled to the brim. All the water in the cylindrical vessel is transferred to a spherical vessel. If the height and radius of the cylindrical vessel is the same as the radius of the spherical vessel, what percentage of the capaci...
A fruit seller had some oranges. He sells 30% oranges and still has 420 oranges. How many oranges he had originally?
A man is 18 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is
A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?
A man desired to get into his work building, however he had forgotten his code. However, he did recollect five pieces of information -> Sum of 5th number and 3rd number is 14. -> Difference of 4th and 2nd number is 1. -> The 1st number is one less than twice the 2nd number. ->The 2nd number and the 3rd number equals 10...
On a Monday in a certain restaurant, 20 percent of the 160 customers ordered the daily special. On Tuesday, only 10 percent of the 120 customers ordered the special. For the two days combined, what percent of the customers ordered the daily special?
The mean of four integers Q will not change if all the integers are multiplied by any constant. What is always true about this set of numbers? I. The mean of the set is 0 II. The sum of the largest member and the smallest member of the set is 0 III. The set contains both positive and negative integers
Jerry travels 8 miles at an average speed of 40 miles per hour, stops for 14 minutes, and then travels another 20 miles at an average speed of 60 miles per hour. What is Jerry’s average speed, in miles per hour, for this trip?
P and Q invested in a shop. The profits were divided in the ratio of 2 : 3 respectively. If P invested Rs. 40,000, the amount invested by Q is:
Each of the following equations E has at least one solution EXCEPT
If 10 farmers can reap a field in 8 days, then 8 farmers will reap the same field in :
In a fuel station the service costs $1.75 per car, every liter of fuel costs 0.65$. Assuming that a company owns 12 cars and that every fuel tank contains 58 liters and they are all empty, how much money total will it cost to fuel all cars?
The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 100 resolutions.
If the square root of 5625 is 75, then √5625 + √56.25 + √0.5625 is equal to
A boy was asked to find the value of 3/8 of a sum of money. Instead of multiplying The sum by 3/8 he divided it by 3/8 and then his answer exceeded by Rs. 55. Find the Correct be x.
A grocer has a sale of Rs. 5266, Rs. 5768, Rs. 5922, Rs. 5678 and Rs. 6029 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 5600?
The ratio between the length and the breadth of a rectangular park is 3:2. If a man cycling along theoundary of the park at the speed of 12km/hr completes one round in 8 min, then the area of the park (in sq. m) is?
A dog travelled for 2 hours. He covered the first half of the distance at 10 kmph and remaining half of the distance at 5 kmph. Find the distance travelled by the dog?
What will be the fraction of 50%
How many words can be formed by using all letters of the word ‘CAT’ ?
Two trains each 120m in length each, are running on two parallel lines in opposite directions. If one goes at the speed of 85km/h while the other travels at 65km/h. how long will it take for them to pass each other completely.
A sum of money place at compound interest doubles itself in 4 years. In how many years will it amount to eight times itself?
Vijay lent out an amount Rs. 10000 into two parts, one at 8% p.a. and the remaining at 10% p.a. both on simple interest. At the end of the year he received Rs. 890 as total interest. What was the amount he lent out at 8% pa.a?
3 machines a,b,c can be used to produce a product. Machine a will take 60 hours to produce a million units. Machine b is twice as fast as machine a. Machine c takes the same amount of time as machine a and b taken together. How much time will be required to produce a million units if all the three machines are used sim...
Five persons are to be selected from a group of 7 males and 6 females to form party so that at least 3 male members are there on the committee. What are the possible number of ways to form the party ?
If 0.75 : x :: 10 : 8, then x is equal to:
In country Z, 18% of the people do not have a university diploma but have the job of their choice, and 25% of the people who do not have the job of their choice have a university diploma. If 40% of the people have the job of their choice, what percent of the people have a university diploma?
On a certain day, Tim invested $1,000 at 10 percent annual interest, compounded annually, and Lana invested 2,000 at 5 percent annual interest, compounded annually.The total amount of interest earned by Tim’s investment in the first 2 years was how much greater than the total amount of interest earned by Lana’s investm...
Peter invests $100,000 in an account that pays 12% annual interest: the interest is paid once, at the end of the year. Martha invests $100,000 in an account that pays 12% annual interest, compounding monthly at the end of each month. At the end of one full year, compared to Peter's account, approximately how much more ...
A crow leaves its nest, and flies back and forth from its nest to a nearby ditch to gather worms. The distance between the nest and the ditch is 300 meters. In one and a half hours, the crow manages to bring worms to its nest 15 times. What is the speed of the crow in kilometers per hour?
How many pieces of 75 cm can be cut from a rope 60 meters long?
How many cubes of edge 2 dm can be cut out of a meter cube?
Father is aged three times more than his son Sunil. After 8 years, he would be two and a half times of Sunil's age. After further 8 years, how many times would he be of Sunil's age?
The C.P of 15 pens is equal to the S.P of 18 pens. Find his gain% or loss%?
If a quarter kg of onions costs 90 paise, how many paise will 100 gm cost?
In what time will a train 100 meters long cross an electric pole, if its speed is 36 km/hr
Which of the following is the lowest positive integer that is divisible by the first 8 positive integer multiples of 5?
All the stocks on the over-the-counter market are designated by either a 7 letter or 6 letter codes that is created by using the 26 letters of the alphabet. Which of the following gives the maximum number of different stocks that can be designated with these codes?
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?
A, B and C started a business with capitals of Rs. 8000, Rs. 10000 and Rs. 12000 respectively. At the end of the year, the profit share of B is Rs. 1500. The difference between the profit shares of A and C is?
The effective annual rate of interest corresponding to a nominal rate of 6% per annum payable half-yearly is?
Firm A's revenues are described by the equation Ra = 17.12x and its costs by Ca = 12.87x + 2400. Firm B's revenues are described by the equation Rb = 13.27x and its costs by Cb = 8.77x + 1500. (x denotes the quantity of sales). If A's volume of sales increases from 1000 to 3000 over the same period that B's volume incr...
How many multiples of 4 are less than 6540, and also multiples of 7?
In a 150 member association consisting of men and women, exactly 10% of men and exactly 20 % women are homeowners. What is the least number of members who are homeowners?
A and B enter into partnership with capital as 7:9. At the end of 8 months, A withdraws. If they receive the profits in the ratio of 8:9 find how long B's capital was used?
A cricketer has a certain average for 10 innings. In the eleventh inning, he scored 108 runs, there by increasing his average by 5 runs. His new average is:
An urn contains 15 black and 5 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?
If n is a prime number greater than 17, what is the remainder when n^2 is divided by 12 ?
The length of a rectangular floor is more than its breadth by 500%. If Rs. 324 is required to paint the floor at the rate of Rs. 6 per sq m, then what would be the length of the floor?
Anmol can eat 27 pastries in a hour. Aakriti can eat 2 pastries in 10 minutes. Divya can eat 7 pastries in 20 minutes. How long will it take them to eat a 240 pastries ?
How many different 3 digit numbers can be formed from the number 891 by re-arranging its digits so that the odd digits occupy even position
Two sets A and B consists only of positive integers such that mean of set A is 55 . If set R consist of all the elements of both A and B such that mean of R is 80 then the mean of set B is =>
What decimal of an hour is a second ?
A store owner estimates that the average price of type A products will increase by 35% next year and that the price of type B products will increase by 10% next year. This year, the total amount paid for type A products was $4500 and the total price paid for type B products was $8300. According to the store owner's est...
Average of five numbers is 27. If one number is excluded the average becomes 25. The excluded number is
A gambler bought $3,000 worth of chips at a casino in denominations of $20 and $100. That evening, the gambler lost 13 chips, and then cashed in the remainder. If the number of $20 chips lost was 3 more or 3 less than the number of $100 chips lost, what is the largest amount of money that the gambler could have receive...
An article is bought for Rs.675 and sold for Rs.900, find the gain percent?
The measures of the 2 acute angles of a triangle are in the ratio of 2:7. What are the measures of the 2 angles?
Find the area of a parallelogram with base 22 cm and height 14 cm?
Find √? /20 = 4 ?
24 oz of juice P and 25 oz of juice V are mixed to make smothies M and Y . The ratio of p to V in smothie M is 4 is to 1 and that in Y is 1is to 5.How many ounces of juice P are contained in the smothie M?
If n = 30! + 27, then n is divisible by which of the following? I. 25 II. 27 III. 29
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 6400 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
The least number,which when divided by 48,60,72,108 and 140 leaves 38,50,62,98 and 130 as remainder respectively, is :
A buffet costs rs300. owner reduced the price 20% less. he got profit of 25% on its revenue. what is the percentage increase in number of customers?
The population of a village is 10000. It increases annually at the rate of 20% p.a. What will be its population after 2 years?
For any integer k greater than 1, the symbol k* denotes the product of all the fractions of the form 1/t, where t is an integer between 1 and k, inclusive. What is the value of 5*/6* ?
A man can row upstream at 25 kmph and downstream at 41 kmph, and then find the speed of the man in still water?
Let the polynomials be: P1(x)=3x2−7x+4, P2(x)=−5x2−4x+2, P1(x)+P2(x)=