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big_math_dataset

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A shopkeeper cheats to the extent of 10% while buying and selling, by using false weights. His total gain 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?
3500 – (1000 ÷ 20.50) is equal to :
If two balls are randomly selected from a green urn containing 6 black and 6 white balls and placed into a yellow urn initially containing 5 black and 3 white balls. What is the probability that the yellow urn will contain an equal number of black and white balls after the change?
In a system of coding ACCESS is coded CEEGUU, POINTFF as HHKPQRV, LIMERICK as EGKKMNOT and LAMINATE as CCGKNOPV Waht is likely to be the word of which the code is COTUV?
A man can row his boat with the stream at 6 km/h and against the stream in 4 km/h. The man's rate is?
A dishonest dealer professes to sell goods at the cost price but uses a weight of 800 grams per kg, what is his percent?
The banker’s discount on Rs. 1600 at 15% per annum is the same as true discount on Rs. 1680 for the same time and at the same rate. The time is :
Simplfy b - [b -(a+b) - {b - (b - a+b)} + 3a]
If a × b = 2a - 3b + ab, then 3 × 5 + 5 × 3 is equal to :
If A,BCD is a four-digit positive integer such that A,BCD is equal to the product of the two-digit number AB and the three digit number ABC, which of the following two-digit numbers cannot be a factor of A,BCD? (Note: the first digit of a number cannot be equal to 0.) I. AD II. CD III. CA
If the cost price of 50 articles is equal to the selling price of 45 articles, then the gain or loss percent is?
The mass of the sun is approximately 2 × 10^20 kg and the mass of the moon is approximately 8 × 10^12 kg. The mass of the sun is approximately how many times the mass of the moon?
If seven machines working at the same rate can do 3/4 of a job in 30 minutes, how many minutes would it take two machines working at the same rate to do 3/5 of the job?
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 160kg then find the average weight of all the 7 rounds?
The ratio of the radius of two circles is 1: 3, and then the ratio of their areas is?
The average monthly income of P and Q is Rs. 5100. The average monthly income of Q and R is 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is?
The total weight of nine nougat nuggets is 7 oz. What is the average (arithmetic mean) weight of one such nougat nugget?
If x is the sum of six consecutive integers, then x is divisible by which of the following: I. 6 II. 7 III. 3
If t>0, which of the following must be true?
X and Y invested in a business. They earned some profit which they divided in the ratio of 2 : 4. If X invested Rs.40,000. the amount invested by Y is
In an office, totally there are 800 employees and 25% of the total employees are males. 40% of the males in the office are at-least 50 years old. Find the number of males aged below 50 years?
A man in a train travelling at 20km/hr notices that a train going in the opposite direction passes him in 5 sec.If the length of this train is 140m find its speed .
If 1 + x^4 + x^3 + x^2 + x = 80, then the average (arithmetic mean)W of x, x^2, x^3, x^4 and x^5 is equal to which of the following?
A man took loan from a bank at the rate of 4 % p.a. S.I. After 10 years he had to pay Rs. 2000 interest only for the period. The principal amount borrowed by him was?
A man can row a distance of 6 km in 60 min with the help of the tide. The direction of the tide reverses with the same speed. Now he travels a further 20 km in 10 hours. How much time he would have saved if the direction of tide has not changed?
A salesman’s terms were changed from a flat commission of 5% on all his sales to a fixed salary of Rs.1000 plus 2.5% commission on all sales exceeding Rs. 4,000. If his remuneration as per new scheme was Rs. 600 more than that by the previous schema, his sales were worth?
A can give B 100 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?
List Z consists of 12 consecutive integers. If -4 is the least integer in list Z, what is the range of positive integers in list Z?
An automotive test consisted of driving a car the same distance three separate times, first at an average rate of 40 miles per hour, then 50 miles per hour, then 60 miles per hour. If the test took 111 hours to complete, how many miles was the car driven during the entire test?
The y intercept of a line L is 8. If the slope of L is negative, which of the following could be the x intercept of L. I. -1 II. 0 III. 6
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 into it. The mass of the man is ?
A larger cube has 8 cubic inch as a volume and in the cube there are 8 smaller cubes such that their volume is 1 cubic inch. What is the difference between the surface areas’ sum of the 8 smaller cubes and the surface area of the larger cube, in square inch?
A certain club has 11 members, including Harry. One of the 11 members is to be chosen at random to be the president, one of the remaining 10 members is to be chosen at random to be the secretary, and one of the remaining 9 members is to be chosen at random to be the treasurer. What is the probability that Harry will ei...
In how many ways can the letters of the word "PROBLEC" be rearranged to make 7 letter words such that none of the letters repeat?
Tub A and tub B contain 540 liters of water each. Every minute tub A loses 25 liters of water while tub B loses 15 liters. If in X minutes tub B will contain 6 times as much water as tub A, what is X?
Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
There are 35 students in a hostel. If the no. of students increases by 11, the expenses of the mess increase by Rs.42/day while the average expenditure per head diminishes by Rs1. Find the original expenditure of the mess?
Find the number which is nearest to 3105 and is exactly divisible by 21.
Raj is working on a set of Data Sufficiency problems for his December GMAT: a geometry problem, an algebra problem, and a data interpretation problem. He has determined that statement 1 of the geometry problem is insufficient on its own, that both statement 1 and 2 of the algebra problem are insufficient on their own, ...
A 5% stock yields 10%. The market value of the stock is:
If two numbers are in the ratio 2:3. If 5 is subtracted from both of the numbers then the ratio becomes 3:4 then find the smallest number?
The average of numbers 0.44204, 0.44203, 0.44202 and 0.44201 is ?
The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
How long does a lorry 200 m long traveling at 80 kmph takes to cross a bridge of 200 m in length?
A dishonest dealer professes to sell goods at the cost price but uses a weight of 896 grams per kg, what is his percent?
Walking 7/6 of his usual rate, a boy reaches his school 4 min early. Find his usual time to reach the school?
In a classroom, the average age of boys (b) is g and the average age of girls (g) is b. The average age of all is b+g. At the time of calculation, the class teacher, who is 42 years old was also present in the class. Can you find the value of b+g?
6 friends visited a book stall and brought 6 books, and everyone decided to contribute equally to the total bill of $400. If one of the friends had a coupon for 5% off the total bill, and if each friend still contributed equally after the coupon was applied to the bill, how much did each friend pay?
The average age of seven persons sitting in a row facing east is 28 years. If the average age of the first three persons is 21 years and the average age of the last three persons is 34 years, then find the age of the person sitting in the middle of the row?
Bob wants a bunch of bananas and insists that the bunch contains a prime number of bananas. The bunches contain the following number of bananas. Which bunch should Bob buy?
Two trains travelling in the same direction at 58 and 22 kmph completely pass off another in 1 minute. If the length of the first train is 110 m, what is the length of the second train?
By selling an umbrella for Rs. 300, a shopkeeper gains 20%. During a clearance sale, the shopkeeper alows a discount of 10% on the marked price. His gain percent during the sale is :
Which among the following represents a sum of 3 consecutive even integers?
The probability that A speaks truth is 4/5 and that of B speaking truth is 3/4. What is the probability that they agree in stating the same fact?
For each hour of production, a certain factory requires 1 assembly line worker for every 25 units to be produced in that hour. The factory also requires 10 managers regardless of the number of units to be produced. Which of the following expressions represents the total number of assembly line workers and managers that...
The compound interest earned by Sunil on a certain amount at the end of two years at the rate of 8% p.a. was Rs.2828.80. Find the total amount that Sunil got back at the end of two years in the form of principal plus interest earned
Income of A is 25% more than the income of B. What is the income of B in terms of income of A?
A solution is made of water and pure acid. If 75% of the solution is water, how many litters of pure acid are in 20 litters of this solution?
Find compound interest on $ 16000 at 15% per annum for 2 years 4 months, compounded annually.
sue has 3 apples. Billy has 10 apples. If billy steals all of sues apples and eats 4 how many does he have left?
Tough and Tricky questions: Exponents. If 3^m3^m3^m = 7^n, then m/n =
What is the ratio of y to x if (x + 3y) / ( x - y) = 3/7?
If x : y = 3 : 5, find the value of (2x + 4y) : (3x – y)
If n is a positive integer and the product of all integers from 1 to n, inclusive, is a multiple of 840, what is the least possible value of n?
What is the median from the below series 90, 93, 93, 88, 95, 88, 97, 87, and 98
Rs. 1300 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/2:1/3:1/4?
On a race track a maximum of 5 horses can race together at a time. There are a total of 25 horses. There is no way of timing the races. What is the minimum number R of races we need to conduct to get the top 3 fastest horses?
Calculate the value of n from the below equation: y^4−20y+1=22
Find the area of trapezium whose parallel sides are 18 cm and 12 cm long, and the distance between them is 14 cm?
A and B’s salaries together amount to Rs. 2,000. A spends 95% of his salary and B spends 85% of his. If now their savings are the same, what is A’s salary?
The sum of the two numbers is 12 and their product is 35.What is the sum of the reciprocals of these numbers?
Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 70 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
In N is a positive integer less than 200, and 14N/60 is an integer, then N has how many different positive prime factors A?
The population of a village is 13400. It increases annually at the rate of 21% p.a. What will be its population after 2 years?
Speed of a boat in standing water is 9 kmph and the speed of the stream is 1.5 kmph. A man rows to place at a distance of 210 km and comes back to the starting point. The total time taken by him is:
Lucy invested $10,000 in a new mutual fund account exactly three years ago. The value of the account increased by 10 percent during the first year, increased by 7 percent during the second year, and decreased by 10 percent during the third year. What is the value of the account today?
What is the sum of all three digit integers formed using the digits 3,4 and 5 (repetition is allowed)
What is the remainder when 7^74 - 5^74 is divided by 12?
40 persons like apple. 7 like orange and mango dislike apple. 10 like mango and apple and dislike orange. 4 like all. How many people like apple?
Which of the following numbers is divisible by 12?
An advertising agency finds that, of its 200 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?
A rectangular room has the rectangular shaped rug shown as above figure such that the rug’s area is 180 square feet and its length is 8 feet longer than its width. If the uniform width between the rug and room is 8 feet, what is the area of the region uncovered by the rug (shaded region), in square feet?
Gita, Hussain, Inge, Jeong, Karen, and Leila are seated in a row of six chairs. How many seating arrangements are possible if Gita cannot sit next to Inge and Jeong must sit next to Leila?
How many such pairs of digits are there in the number 421579368 each of which has as many digits between them in the number as when they are arranged in ascending order?
Anna left for city A from city B at 5.20 a.m. She traveled at the speed of 80 km/hr for 2 hrs 15 min. After that the speed was reduced to 60 km/hr. If the distance between two cities is 350 kms, at what time did Anna reach city A?
If the speed of a man is 63 km per hour, then what is the distance traveled by him in 25 seconds ?
What is the product of the greatest 2 digit multiple of 3 and the greatest 2 digit prime number?
If X is the sum of first 30 positive even integers and Y is the sum of first 30 positive odd integers, what is the value of x-y? Please try to explain your answers
If 3 persons can do 3 times of a particular work in 3 days, then, 7 persons can do 7 times of that work in ?
What is the units digit of 33^2 * 17^3 * 49^3?
10x + 2y = -6 6x + y = 1 In the system of equations above, what is the value of x?
There are 9color balls at a row. From that how many ways can 9 different color balls be arranged in a row so that black, white, red and green are never together?
In how many ways can the letters of wordINTELLIGENTbe arranged such that all the Consonants always appear together?
In a garden , there are 10 rows and 12 columns of mango trees. the distance between the two trees is 2 m and a distance of one meter is left from all sides of the boundary of the length of the garden is :
Caleb and Frank are partners in a business. Caleb runs the business and receives 8% of the profit for managing the business, the rest is divided in proportion of their capitals. Caleb invested Rs.5000 and Frank invested Rs.10000. the rest is divided in proportion of their capitals. Out of a total profit of Rs.6000, how...
34. The side surface of a cylinder can is rolled with a rectangular plate. If the height of a cylinder tank is 8 feet and the perimeter of the circular base Is 6 feet, what is the diagonal of the rectangular plate?
A car finishes a journey in ten hours at the speed of 60 km/hr. If the same distance is to be covered in eight hours how much more speed does the car have to gain?
If a randomly selected positive single digit multiple of 3 is multiplied by a randomly selected prime number less than 20, what is the probability W that this product will be a multiple of 45?
If the money was put in for the same duration of time by A,B and C, three business partners and four times A’s capital is equal to 6 times B’s capital is equal to 10 times C’s capital. Determine that out of a total profit of Rs 4650 what is C’s share?