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big_math_dataset

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The owner of a cell phone shop charges his customer 23% more than the cost price. If a customer paid Rs.8,302 for a cell phone, then what was the cost price of the cell phone?
If (x/y)=(10/5), find the value (x^2+y^2)/(x^2-y^2)
What is the sum of all the numbers between 300 and 1000 which are divisible by 179?
Define w* by the equation w* = π-w. Then ((−π)*)* =
A palindrome is a number that reads the same forward and backward, such as 145. How many odd, 4-digit numbers are palindromes?
The cost of the paint is rs.30 per kg. if 1kg of paint covers 18sq.ft, how much will it cost to paint outside of a cube having 6 feet each side
A boy goes to his school from his house at a speed of 3 km/hr and returns at a speed of 2 km/hr. If he takes 5 hours in going and coming. The distance between his house and school is?
A certain high school has 500 students. Of these students, 40 are taking music, 20 are taking art, and 10 are taking both music and art. How many students are taking neither music nor art?
A man on tour travels first 100 km at 64 km/hr and the next 100 km at 80 km/hr. Find the average speed for first 200 km of tour.
How many numbers up to 300 and 700 are divisible by 2, 3 and 7 both together?
An article is bought for Rs.575 and sold for Rs.675, find the gain percent?
Two ropes are given to you. Both of the ropes will take exactly an hour each to burn fully. You are asked to measure forty five minutes using the two ropes. How will you achieve to do it?
Little Texas Drilling Company has three wells, each producing oil at a constant rate. Well A produces one barrel every two minutes. Well B produces one barrel every three minutes. Well C produces one barrel every four minutes. How many hours does it take Little Texas Drilling Company to produce 115 barrels of oil?
If x and y are positive integers such that y is a multiple of 5 and 3x + 6y = 600, then x must be a multiple of which of the following?
Which resistive component is designed to be temperature sensitive?
Sam purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?
Roger can read a book in k minutes. What part of the book can he read in 6 minutes? (k>8)
Two trains starting at same time, one from Bangalore to Mysore and other in opposite direction arrive at their destination 1 hr and 4 hours respectively after passing each other. How much faster is one train from other?
The greatest number of four digits which is divisible by 18, 25, 40 and 75 is:
Last year, Company X made q dollars in profit. two Thrid of the profit went to the company’s founder. The rest was split evenly among his Three other partners. In terms of q, how much did each of the other partners receive?
Johnny makes $3.25 per hour at his work. If he works 8 hours, how much money will he earn?
The circumferences of the fore and hind-wheels of a carriage are 2 2/5 and 3 3/7 meters respectively. A chalk mark is put on the point of contact of each wheel with the ground at any given moment. How far will the carriage have travelled so that their chalk marks may be again on the ground at the same time?
Two cyclist start on a circular track from a given point but in opposite direction with speeds of 7m/s and 8m/s. If the circumference of the circle is 675meters, after what time will they meet at the starting point?
Two men started from the same place walk at the rate of 10kmph and 12kmph respectively. What time will they take to be 2 km apart, if they walk in the same direction?
A sum of money becomes triple itself in 5 years at simple interest. How many years will it become six times at the same rate?
There is food for 760 men for 22 days. How many more men should join after two days so that the same food may last for 16 days more?
A certain bag contains 100 balls — 20 white, 30 green, 10 yellow, 37 red, and 3 purple. If a ball is to be chosen at random, what is the probability that the ball will be neither red nor purple?
A 2 digit known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is
A retailer purchases shirts from a wholesaler and then sells the shirts in her store at a retail price that is 50 percent greater than the wholesale price. If the retailer decreases the retail price by 30 percent this will have the same effect as increasing the wholesale price by what percent?
The area of the largest circle that can be drawn inside a square of side 70 Cm in length is:
A man can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
If 5a + 7b = n, where a and b are positive integers, what is the largest possible value of n for which exactly one pair of integers (a, b) makes the equation true?
If a survey shows that 36 citizens out of a sample of 300 support a particular Senate bill, what percent of the sample does not support the bill?
In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit
A solution of 100 litres contains milk and water in the ratio 5:x. If ten litres of water is added to the solution, the ratio becomes 3:2, find the value of x?
The tax on a commodity is diminished by 18% and its consumption increased by 15%. The effect on revenue 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 130 marks, the no of questions he attempts correctly is :
Jake, Lena, Fred, and Inna need to drive home from a corporate reception in an SUV that can seat 7 people. If only Inna or Jake can drive, how many seat allocations are possible?
Pump A can fill a tank of water in 5 hours. Pump B can fill the same tank in 8 hours. How long does it take the two pumps working together to fill the tank?(round your answer to the nearest minute).
John and Jacob set out together on bicycle traveling at 15 and 12 miles per hour, respectively. After 40 minutes, John stops to fix a flat tire. If it takes John two hour to fix the flat tire and Jacob continues to ride during this time, how many hours will it take John to catch up to Jacob assuming he resumes his ride...
The average of first five prime numbers which are odd is?
Cole drove from home to work at an average speed of 60 kmh. He then returned home at an average speed of 90 kmh. If the round trip took a total of 2 hours, how many minutes did it take Cole to drive to work?
Suppose you work for a manufacturing plant that pays you $12.50 an hour plus $0.16 for each widget you make. How many widgets must you produce in a 40 hour week to earn $750 (before payroll deductions)?
The product of all the prime numbers less than 20 is closest to which of the following powers of 10?
Dick and Jane each saved $1,000 in 1989. In 1990 Dick saved 15 percent more than in 1989, and together he and Jane saved a total of $2,000. Approximately what percent less did Jane save in 1990 than in 1989?
The average of 11numbers is 500. Out of 11numbers the average of first 6no. is 50, and last 6numbers is 60 then find 6th number?
If w is 40 percent less than q, q 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?
The greatest common factor of positive integers m and n is 9. What is the greatest common factor of (2m^2, 2n^2)?
Two pipes A and B can fill a tank in 5 hrs and 20 hrs respectively. If both the pipes are opened simultaneously, how much time will be taken to fill the tank?
If 1 = 6 2 = 12 3 = 18 4 = 24 5 = 30 Then 6 = ? Hint: Its a logic Riddle not a mathematical riddle
Which of the following is a prime number ??
A city council will select 2 of 8 available firefighters and 1 of 6 available police officers to serve on an advisory panel. How many different groups of 3 could serve on the panel?
The angle between the minute hand and the hour hand of a clock when the time is 8:30
If x^2 − 2x − 15 = (x + r)( x + s) for all values of x, and if r and s are constants, then which of the following is a possible value of r − s?
the sum of the ages of 5 children born at the intervals of 3 year each is 50 year. what is the age of the youngest child ?
Working together, John and Jack can type 30 pages in one hour. If they would be able to type 35 pages in one hour if Jack increases his typing speed by 25%, what is the ratio of Jack's normal typing speed to that of John?
A man divides his property so that his son’s share to his wife’s and the wife’s share to his daughter are both in the ratio 3 : 1. If the daughter gets 10,000 less than the son, find the total worth of the property.
A merchant has 100 lbs of sugar, part of which he sells at 7% profit and the rest at 17% profit. He gains 10 % on the whole. Find how much is sold at 7% profit?
A can do a work in 12days. When he had worked for 3days, B joinedhim. If they complete the work in 3more days, in how manydays can Balone finish the work?
The sum of first five prime numbers is?
Naomi drives to the beauty parlor in 60 minutes. On the way back, her average speed is half the average speed as it was to the way to the parlor. How much time will it take Naomi to travel two round trips to the beauty parlor?
If the price of 20 toys is 540, then what will the price of 15 toys ?
A clock loses two minutes every three hours for 4 days and gains 1% in the subsequent 6 days. If it was set right on Friday at 11 AM, what will be the time at the end of 10 days?
A salesman sold twice as much pears in the afternoon than in the morning. If he sold 360 kilograms of pears that day, how many kilograms did he sell in the morning and how many in the afternoon?
If the bus had traveled 60 kmh faster than it actually did, the trip of 120 km would have lasted 1 hour less. Find the speed of the bus.
The sum of two numbers is 95. Their difference is 5. The bigger number is
A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a king of heart is
Three people each took 5 tests. If the ranges of their scores in the 5 practice tests were 17, 28 and 34, what is the minimum possible range in scores of the three test-takers?
You buy a piece of land with an area of √400, how long is one side of the land plot?
#p is defined as 2p-20 for any number p. What is p, if #(#(#p))=12?
If 2^z is a factor of 25!, which of the following could be the value of z? I. 22 II. 23 III. 24
The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles?
If 4 men can colour 48 m long cloth in 2 days, then 2 men can colour 36 m long cloth in
A sum of Rs.4700 is invested at a compound interest for three years, the rate of interest being 10% p.a., 20% p.a. and 25% p.a. for the 1st, 2nd and the 3rd years respectively. Find the interest received at the end of the three years.
A dress on sale in a shop is marked at $X. During the discount sale its price is reduced by 15%. Staff are allowed afurther 10% reduction on thedis counted price. If a staff member buys thedress what will she have to pay in terms of X?
Cost of 2 bats and 3 balls is Rs.1300. The cost of 3 bats and 2 balls is Rs.1200. The cost of each balls is more than that of each bat by?
If 11 and 13 are prime numbers, which of the following CANNOT be the sum of a and b?
A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined then after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed among A, B and C?
A shop keeper had some books. He sells 40% books and still has 420 books. Originally, he had
There were totally 100 men.81 are married.75 have T.V, 85 have radio,70 have A.C. How many men have T.V, radio, A.C and also married?
When 200 is divided by positive integer x, the remainder is 5. What is the remainder when 395 is divided by x?
A = {2, 3, 5, 7, 11} B = {2, 4, 6, 17} Two integers will be randomly selected from sets A and B, one integer from set A and one from set B, and then multiplied together. How many different products can be obtained?
A 270m long train running at the speed of 120kmph crosses another train running in opposite direction at the speed of 80kmph in 9 second. What is the length of the other train?
A sum of 15,600 amounts to 21,200 in 5 years at the rate of simple interest. What is the rate of interest?
10 books are placed at random in a shelf. The probability that a pair of books will always be together is
(540 + ?) × 3/5 - 120 = 483
Lilly has 10 fish and Rosy has 14 fish. In total, how many fish do they have in all?
What quantity of water should be added to reduce 20 liters of 80% acidic liquid to 20% acidic liquid?
Ashis's height is 25% more than Babji, by how much percent Babji's height is less than Ashis.
A bullet train 140 m long is running at 60 kmph. In how much time will it pass a platform 210 m long?
Incomes of two companies A and B are in the ratio of 5 : 8. Had the income of company A been more by 35 lakh, the ratio of their incomes would have been 5 : 4. What is the income of company B?
Two employees X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
If N is the least positive integer that is divisible by every integer from 3 to 10 inclusive, then N/7 is =
If A got 70 marks and B got 60 marks, then what percent of A's mark is B's mark?
A male leader is to be selected from a class of students having 15 boys and 20 girls. In how many ways can select?
How many seconds will a 500 meter long train moving with a speed of 63 km/hr, take to cross a man walking with a speed of 3 km/hr in the direction of the train ?
Kid have 8 black balls and 8 white balls. He is trying to arrange a ball in a row then in how many ways can he arrange these balls in a row so that balls of different colors alternate?
If √x = x, then which of the following must be true?
Andrew started saving at the beginning of the year and had saved $240 by the end of the year. He continued to save and by the end of 2 years had saved a total of $600. Which of the following is closest to the percent increase in the amount Andrew saved during the second year compared to the amount he saved during the f...
The total age of A and B is 12 years more than the total age of B and C. C is how many year younger than A