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big_math_dataset

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During the break of a football match, the coach will make 3 substitutions. If the team consists of 15 players among which there are 2 forwards, what is the probability that none of the forwards will be substituted?
Nitin ranks 15th in a class of 47 students. What is rank from the last ?
There are three bags.The first bag has two blue rocks. The second bag has two red rocks. The third bag has a blue and a red rock. All bags are labeled but all labels are wrong.You are allowed to open one bag, pick one rock at random, see its color and put it back into the bag, without seeing the color of the other rock. How many such operations are necessary to correctly label the bags ?
When a certain number X is divided by 84, the remainder is 25. What is the remainder when X is divided by 14?
In a village of 2,500 people, 800 people are over 70 years old and 850 people are female. It is known that 40 percent of the females are younger than 70 years old. If no one in the village is 70 years old, what is the probability that a person chosen at random is either a male or younger than 70 years old?
In a garden there are 10 rows and 12 columns of mango trees. The distance between the two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden. The length of the garden is
A restaurant meal cost $30 and there was no tax. If the tip was more than 15 percent but less than 25 percent of the cost of the meal, then the total amount paid must have been between
Pam had $23. Then she saved $11 from her allowance and spent $6 on a comic book and $8 on a puzzle. How much money does Pam have left?
The two lines y=x and x=-9 intersect on the coordinate plane. What is the value of the area of the figure formed by the intersecting lines and the x-axis?
The average weight of 25 persons sitting in a boat had some value. A new person added to them whose weight was 46 kg only. Due to his arrival, the average weight of all the persons decreased by 5 kg. Find the average weight of first 25 persons?
The charge for a single room at Hotel P is 70 percent less than the charge for a single room at Hotel R and 10 percent less than the charge for a single room at Hotel G. The charge for a single room at Hotel R is what percent greater than the charge for a single room at Hotel G?
If q + | q | = 0, which of the following must be true?
The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is
A guy was asked to specify his age in years. He said, “Take my age 3 years hence, multiply it by three and subtract thrice of my age 3 years ago and you will know my age.” What was the age of that guy?
6, 11, 21, 36, 56, 81, ?
If two painters can complete four rooms in two hours, how many painters would it take to do 24 rooms in 8 hours?
Two trains are running in opposite directions with the same speed. If the length of each train is 60 m and they cross each other in 12 sec, then the speed of each train is?
Diana invested $61,293 in an account with a fixed annual percent of interest, compounding quarterly. At the end of five full years, she had $76,662.25 in principal plus interest. Approximately what was the annual percent rate of interest for this account?
Seven children — A, B, C, D, E, F — are going to sit in seven chairs in a row. The children CFE have to sit next to each other, and the others can sit in any order in any remaining chairs. How many possible configurations are there for the children?
A train traveling at 108 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?
X Y +Y X ________ The sum of the two digit numbers above is a three digit number PQ2, where each letter X, Y, P, and Q represents a different non zero digit. Which of the following can be the value of X? I) 7 II) 8 III) 9
An error 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is
On flipping 3 coins together what is the outcomes for at least one tail, three tail and three head?
A man can row downstream at 18 kmph and upstream at 16 kmph. Find the speed of the man in still water and the speed of stream respectively?
To furnish a kitchen in a model home an interior decorator is to select 2 chairs and 2 tables from the collection of chairs and tables in a warehouse that are all different from each other. If there are 5 chairs in the warehouse and if 120 different combinations are possible, how many tables are there in the warehouse?
What will be the ratio of simple interest earned by certain amount at the same rate of interest for 7 years and that for 11 years?
A boat can travel with a speed of 42 km/hr in still water. If the speed of the stream is 10 km/hr, find the time taken by the boat to go 80 km downstream
A train m leaves meerut at 5 a.m. and reaches delhi at 9 a.m. another train leaves delhi at 7 a.m. and reaches meerut at 10.30 a.m. at what time do the two trains_lavel3 cross each other ?
How many boxes do we need if we have to carry 250 apples into boxes that each hold 25 apples?
A set S = {x, -8, -6, -5, 5, 7, 9, y} with elements arranged in increasing order. If the median and the mean of the set are the same, what is the value of |x|-|y|?
Insert the missing number 2, 9, 28, 65, ...
When 242 is divided by a certain divisor the remainder obtained is 8. When 698 is divided by the same divisor the remainder obtained is 9. When the sum of the two numbers 242 and 698 is divided by the divisor, the remainder obtained is 4. What is the value of the divisor?
A grocer has a sale of Rs. 6400, Rs. 3545, Rs. 9500, Rs. 7500 for 4 consecutive months. How much sale must he have in the fifth month so that he gets an average sale of Rs. 5500?
the average distance between the sun and a certain planet is approximatly 4.7 10^8 inches. which of the following is the closest to the average distence between sun and the planet in kelometers? (1 km is approx 3.9 x 10^4 inches)
A man spends 35% of his income on food, 25% on children education and 80% of the remaining on house rent. What percent of his income he is left with?
A and B invests Rs.3000 and Rs.8000 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit?
At a summer camp with 2100 participants, 1/2 of the campers are aged 8 to 12. Next year, the number of campers aged 8 to 12 will increase by 1/3. After this change, what percentage of the total 2100 campers will the 8- to 12-year-olds represent?
The sum of the present ages of a father and his son is 42 years. Six years ago, father's age was four times the age of the son. After 6 years, son's age will be:
For integers x and y, if 91x = 8y, which of the following must be true? I. x > y II. y is not an integer III. The cube root of x is an integer
In the game of Yahtzee, a "full house" occurs when a player rolls five fair dice and the result is two dice showing one number and the other three all showing another (three of a kind). What is the probability that a player will roll a full house on one roll of each of the three remaining dice if that player has already rolled a pair on the first two?
If the volume of two cubes are in the ratio 64:1, the ratio of their edges is:
If p and q are prime numbers, how many divisors does the product p^4 * q^9 have?
Three positive integers a, b, and c are such that their average is 20 and a ≤ b ≤ c. If the median is (a + 13), what is the least possible value of c?
The smallest number which when divided by 20, 25, 35, 40 leaves the remainder 6 When divided by 14, 19, 23 and 34 respectively is the difference between divisor and The corresponding remainder is 6.
Suppose you work for a manufacturing plant that pays you $12.50 an hour and $.16 for each widget you make. How many widgets must you produce in a 40 hour week to earn $800 (before payroll deductions)?
A certain sum of money at simple interest amounted Rs.680 in 8 years at 3% per annum, find the sum?
Find the odd man out 1, 2, 5, 14, 41, 123
What is the value of (P + Q)/(P - Q) if P/Q is 7?
A car traveling at a certain constant speed takes 5 seconds longer to travel 1 km than it would take to travel 1 km at 75 km/hour. At what speed, in km/hr, is the car traveling?
A train 120 m long is running with a speed of 62 kmph. In what time will it pass a man who is running at 8 kmph in the same direction in which the train is going
A mixture contains milk and water in the ratio 6:3. On adding 10 litters of water, the ratio of milk to water becomes 6:5. The quantity of milk in the original mixture is?
The average of 9 numbers is 7 and the average of 7 other numbers is 10. What is the average of all 16 numbers?
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 average salary of a person for the months of January, February, March and April is Rs.8000 and that for the months February, March, April and May is Rs.8300. If his salary for the month of May is Rs.6500, find his salary for the month of January?
What is the product of all the prime factors of 24?
Let p and q be the root of the quadratic equation x2 - (∝ - 2)x - ∝ -1 =0. what is the minimum possible value of p2 + q2 ?
what is the Max number of rectangular boxes, each measuring 5 inches by 2 inches by 7 inches, that can be packed into a rectangular packing box measuring 15 inches by 20 inches by 35 inches, if all boxes are aligned in the same direction?
When a number is divided by 6 &then multiply by 12 the answer is 10 what is the no.?
In a group of 80 children and 10 youngsters, each child got sweets that are 20% of the total number of children and each youngster got sweets that are 25% of the total number of children. How many sweets were there?
The average marks of a class of 22 students is 40 and that of another class of 28 students is 60. Find the average marks of all the students?
If the letters of the word PLACE are arranged taken all at a time, find how many do not start with AE?
1600 men have provisions for 28 days in the temple. If after 4 days, 400 men leave the temple, how long will the food last now?
If the probability of rain on any given day in City X is 50%, what is probability that it rains on exactly 4 days in a 5 day period?
Running 3/4th of his usual rate, a man is 12min late. Find his usual time in hours ?
A sum of Rs. 125000 amounts to Rs. 15500 in 4 years at the rate of simple interest. What is the rate of interest?
In a market, a dozen eggs cost as much as a pound of rice, and a half-liter of kerosene costs as much as 8 eggs. If the cost of each pound of rice is $0.36, then how many cents does a liter of kerosene cost? [One dollar has 100 cents.]
The difference between the squares of two consecutive odd integers is a square<1000 whose root equals the combined sum of the digits of the two integers. What is the sum of the digits M of the larger integer?
How many three digit numbers that do not contain the digit 9 are there?
The difference between a number and its three-fifth is 50. What is the number?
One side of a rectangular field is 15 m and one of its diagonals is 17 m. Find the area of the field in meter square
A class contains five juniors and five seniors. If one member of the class is assigned at random to present a paper on a certain subject, and another member of the class is randomly assigned to assist him, what is the probability E that both will be juniors?
The length of the rectangular field is double its width. Inside the field there is square shaped pond 8m long. If the area of the pond is 1/8 of the area of the field. What is the length of the field?
A rectangular tiled patio is composed of 126 square tiles. The rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles. After the change in layout, the patio will still have 126 tiles, and it will still be rectangular. How many rows are in the tile patio before the change in layout?
Two numbers are in the ratio of 3:8. If 24 be subtracted from each, they are in the ratio of 4:9. Find the numbers?
Which of the following is closest to (-6/7)^199？
In a partnership between A, B and C. A's capital is Rs.8000. If his share of a profit of Rs.800 is Rs.200 and C's share is Rs.130, what is B's capital?
If 4 (P's Capital ) = 6 ( Q's Capital ) = 10 ( R's Capital ) , then out of the total profit of Rs 4340 , R will receive
If w and b are positive numbers, and w^3 + b^3 = 75, then the greatest possible value of w is between:
Peter's average (arithmetic mean) test score on 4 tests is 78. What must be the student's score on a 5th test for the Peter's average score on the 5 tests to be 80?
When 75% of a number is added to 75, the result is the same number. The number is
Two employees A and B are paid a total of Rs. 550 per week by their employer. If A is paid 120 percent of the sum paid to B, how much is B paid per week?
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?
Nil and Ethan are brothers. They left their home at the same time and drove to the same beach. Nil drove at a speed of 80 miles per hour. Ethan drove at a speed of 20 miles per hour. Nil arrived at the beach 0.5 hour earlier than Ethan. What is the distance between their home and the beach?
Solve the equation for x : 6x - 87 + 3x = 4 + 9 - x
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 sum P of the arithmetic sequence a, a+d, a+2d,..., a+(n-1)d is give by Pn = (n/2)*(2a + n-1)d. What is the sum of the integers 1 to 100 inclusive, with the even integers between 25 and 63 omitted.
If each year the population of the country grows by 30%, how many years will elapse before the population of the country doubles?
The area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of Rs.1.50 per meter. Two gates of 1 m width each are to be left for entrance. What is the total cost?
John read the quarter of the time that Tom read. Tom read only two-fifth of the time that Sasha read. Sasha read twice as long as Mike. If Mike read 5 hours, how long did John read?
The ratio of the number of boys and girls in a college is 7:8. If the percentage increase in the number of boys and girls be 20% and 10% respectively. What will be the new ratio?
Given a certain positive integer X, if x is divided by 5 the remainder is 3 and if it is divided by 7 the remainder is 5. What is the remainder when x is divided by 30.
If f(x)=2^x and x is a natural number, what CANNOT be the answer to f(x)?
A certain stationary store arranges notebooks on display such that each of the seven different colors of notebooks white,yellow, orange, green, red, blue, and purple are consecutive in a repeating pattern. If eight consecutively displayed notebooks are purchased, what is the probability that two of the notebooks are purple?
In the xy-coordinate system, if (m, n) and (m + 5, n + k) are two points on the line with the equation x = 2y + 5, then k =
A and B together invested Rs. 15,000 in a business. At the end of the year, out of total profit is Rs. 3,000 B's share was Rs. 1000. A's investment was
A certain company employs 5 senior officers and 4 junior officers. If a committee is to be created, that is made up of 3 senior officers and 1 junior officer, how many different committee are possible?
If a positive odd integer N has p positive factors, how many positive factors will 5N have ?
A certain bus driver is paid a regular rate of $16 per hour for any number of hours that does not exceed 40 hours per week. For any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75% higher than his regular rate. If last week the bus driver earned $1032 in total compensation, how many total hours did he work that week?
In how many seconds will a train 180 meters long pass an oak tree, if the speed of the train is 54 km/hr?
A full stationary oil tank that is a right circular cylinder has a radius of 100 feet and a height of 25 feet. Oil is pumped from the stationary tank to an oil truck that has a tank that is a right circular cylinder until the truck's tank is completely filled. If the truck's tank has a radius of 5 feet and a height of 12 feet, how far (in feet) did the oil level drop in the stationary tank?