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big_math_dataset

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A train crosses a platform of 130 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
The total monthly income of four men and two women is 46,000. If every woman earns 500 more than a man then what is the monthly income of a woman?
A sun is divided among X, Y and Z in such a way that for each three rupees X gets, Y gets two rupees and Z gets 80 paisa. If the share of Y is RS. 55, what is the total amount of X and Y?
The grade point average of one third of the classroom is 30; the grade point average of the rest is 33. What is the grade point average of the whole class?
Two trains are running in opposite directions in the same speed. The length of each train is 120 meter. If they cross each other in 8 seconds, the speed of each train (in km/hr) is
A shopkeeper has 280 kg of apples. He sells 40% of these at 20% profit and remaining 50% at 30% profit. Find his % profit on total.
Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
two branch of tree bird sit in way if one bird of the first branch goes to second branch there ratio become equal and if bird from second branch goes to first branch ratio become double than first. what are there ratio in sitting ?
The value of x.320 ÷ 2 ÷ 3 = X
In a race with 30 runners where 3 trophies will be given to the top 5 runners (the trophies are distinct: first place, second place, etc), how many ways can this be done?
How many keyboards do you need if you have to place 1024 keys into keyboards that each hold 32 keys?
In certain year in Country C, x sets of twins and y sets of triplets were born. If there were z total babies born in Country C in this year, and x and y were both greater than 0, which of the following represents the fraction R of all babies born who were NOT part of a set of twins or triplets?
What positive number, when squared, is equal to the cube of the positive square root of 16?
0.002 x 0.5 = ?
How many different values of positive integer x, for which |x+6|<x, are there?
In Mike's opinion, his weight is greater than 65kg but leas than 72 kg. His brother does not agree with Mike and he thinks that Mike's weight is greater than 60kg but less than 70kg. His mother's view is that his weight cannot be greater than 68 kg. If all of them are correct in their estimation, what is the average of...
A trailer carries 3, 4 and 5 crates on a trip. Each crate weighs no less than 120 kg. What is the maximum weight of the crates on a single trip?
The ratio of the volumes of two cubes is 729 : 1331. What is the ratio of their total surface areas?
If 0 < m < 1 < n< 6, which of the following must be less than 1? I.m/n II. mn III. n - m
A and B undertake to do a piece of work for $500. A alone can do it in 5days while B alone can do it in 10days. With the help of C, they finish it in 2days. Find the share of C?
Light glows for every 13 seconds . How many max. times did it glow between 1:57:58 and 3:20:47 am.
A train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 18 seconds. What is the length of the platform in meters?
120 is what percent of 40? .
In a certain bathtub, both the cold-water and the hot-water fixtures leak. The cold-water leak alone would fill an empty bucket in c hours, and the hot-water leak alone would fill the same bucket in h hours, where c < h. If both fixtures began to leak at the same time into the empty bucket at their respective constant ...
The average age of a group of 10 students was 20. The average age increased by 3 years when two new students joined the group. What is the average age of the two new students who joined the group?
If x and y are positive integers, Choose which of the following CANNOT be the greatest common divisor of 35x and 20y?
An amount of Rs.1638 was divided among A, B and C, in the ratio 1/2 : 1/3 : 1/4. Find the share of C?
Calculate the dividend from Caleb's stock, if Caleb he invested Rs. 2500 at 79 to obtain an income of Rs. 200.
X does a work in 40 days. Y does the same work in 60 days. In how many days they together will do the same work?
Eighteen years ago,a father was three times as old as his son.Now the father is only twice as old as his son.Then the sum of the present ages of the son and the father is :
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?
12 men can complete a piece of work in 30 days. In how many days can 10 men complete that piece of work?
If m is an integer such that (-2)^2m=2^(12-m) then m=?
A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old id the mother at present?
In a certain city, 60 percent of the registered voters are Democrats and the rest are Republicans. In a mayoral race, if 70 percent of the registered voters who are Democrats and 20 percent of the registered voters who are Republicans are expected to vote for Candidate A, what percent of the registered voters are expec...
A family consists of two grandparents, two parents, and three grandchildren. The average age of the grandparents is 65 years, the average age of the parents is 36 years, and the average age of the grandchildren is 5 years. What is the average age (in years) of the family?
What is 992*992?
A garden center sells a certain grass seed in 5-pound bags at $13.85 per bag, 10-pound bags at $20.40 per bag, and 25-pound bags $32.25 per bag. If a customer is to buy at least 65 pounds of the grass seed, but no more than 80 pounds, what is the least possible cost of the grass seed that the customer will buy?
If the 15th day of a month is three days earlier than Saturday, What day will it be on the 24th day of the month?
A and B go around a circular track of length 600 m on a cycle at speeds of 36 kmph and 54 kmph. After how much time will they meet for the first time at the starting point?
A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is:
An woman sitting in a train which is travelling at 25 kmph observes that a goods train travelling in a opposite direction, takes 3 seconds to pass him. If the goods train is 140 m long, find its speed.
Q as a percentage of P is equal to P as a percentage of (P + Q). Find Q as a percentage of P.
Find the least number must be subtracted from 899830 so that remaining no.is divisible by 16?
A candidate who gets 20% of the marks fails by 40 marks. But another candidate who gets 30% marks gets 20 marks more than necessary for passing. Find the number of marks for passing?
Find how many positive integers less than 10,000 are there such thatthe sum of the digits of the no. is divisible by 3?
A certain school implemented a reading program for its students, with the goal of getting each student to read 5 books per month year-round. If the school has c classes made up of s students in each class, how many books will the entire student body read in one year?
Which of the following is a multiple of 6!-120?
A chef cuts a watermelon along its horizontal diameter once and then along its vertical diameter twice at right angle to each other. A slice is removed (other pieces remains intact). What will be the total surface area of the remaining portion?
If m = 3^n, what is the greatest value of n for which m is a factor of 28!
How many integers between 1000 and 10000 have no digits other than 4, 5 or 6?
United Telephone charges a base rate of $7.00 for service, plus an additional charge of $0.25 per minute. Atlantic Call charges a base rate of $12.00 for service, plus an additional charge of $0.20 per minute. For what number of minutes would the bills for each telephone company be the same?
A small company employs 3 men and 5 women. If a team of 4 employees is to be randomly selected to organize the company retreat, what is the probability Q that the team will have exactly 2 women?
10 books are placed at random in a shelf. The probability that a pair of books will always be together is ?
Is a given rectangular block, a cube? I. At least 2 faces of the rectangular block are squares. II. The volume of the block is 64.
If s is the sum of consecutive even integers w, x, y, and z, where w < x < y < z, all of the following must be true EXCEPT
A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 80%?
5. Find the value for log58 + 5(1/1000)
If the President and Vice President must sit next to each other in a row with 2 other members of the Board, how many different seating arrangements are possible?
here are 5 Rock songs, 6 karnatic songs and 3 Indi pop songs. How many different albums can be formed using the above albums should contain at least 1 Rock song and 1 karnatic song?
3 people are sitting in a 4 seat row watching a football game. At halftime they all get up. When they return, they each randomly sit down on one of the 4 chairs. What is the likelihood that none of the 4 end up sitting in the same chair that they sat in during the first half?
Average of six numbers comes out to be 3.95. Average of two of the numbers is 3.4 while the average of other two is 3.85. Determine the average of the two numbers left.
The rate of a certain chemical reaction is directly proportional to the square of the concentration of chemical A present and inversely proportional to the concentration of chemical E present. If the concentration of chemical E is increased by 100 percent, which of the following is closest to the percent change in the ...
Peter read R books last year, and Nikki read N books last year. If Peter read 35 more books than Nikki last year, which of the following reflects this relationship?
Simplify 25−[2−(6+2(7−8−5¯¯¯¯¯¯¯¯¯¯¯))]
A man performs 1/2 of the total journey by rail, 1/3 by bus and the remaining 6km on foot. His total journey is
To fill a tank, 25 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to two-fifth of its present ?
The average expenditure of a labourer for 6 months was 95 and he fell into debt. In the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30. His monthly income i
A four-character password consists of one letter of the alphabet and three different digits between 0 and 7, inclusive. The letter must appear as the second or third character of the password. How many different passwords are possible?
A single discount equivalent to the discount series of 20%, 10% and 5% is?
If p/8 = r/2 and r = 0.75s, what is the ratio of p to r to s?
A car gets 40 kilometers per gallon of gasoline. How many gallons of gasoline would the car need to travel 190 kilometers?
In a cricket team, the average of eleven players is 28 years. Out of these, the average ages of three groups of three players each are 25 years, 28 years and 34 years respectively. If in these groups, the captain and the youngest player are not included, and the captain is eleven years older than the youngest player, w...
What sum of money put at C.I amounts in 2 years to Rs.8820 and in 3 years to Rs.9261?
How many kg of sugar costing Rs. 9/kg must be mixed with 27kg of sugar costing Rs. 7/ kg so that there may be a gain of 10% the mixture at Rs. 9.24 per kg?
By how much does the larger root of the equation 2q^2+5q = 12 exceed the smaller root?
A basketball player succeeds with 80% of her free throws. If she has a set of three free throws, what is the probability that she succeeds at least once?
What is x if x + 2y = 10 and y = 4?
A batsman scored 150runs which included 5 boundaries and 5 sixes. What percent of his total score did he make by running between the wickets.
If shares of two persons in profits are Rs.400 and Rs.600 then ratio of their capitals is
If the cost of x metres of wire is d rupees, then what is the cost of y metres of wire at the same rate?
An investor receives a total combined return of 7% on his two different investments. On his $10,000 investment he receives a return of 6%. What is the return on his $20,000 investment?
A train 320 m in length crosses a telegraph post in 16 seconds. The speed of the train is?
P is able to do a piece of work in 5 days and Q can do the same work in 10 days. If they can work together for 3 days, what is the fraction of work completed?
If 50 percent of X is 25 percent of Y, then what is the relation between X and Y?
In a game of billiards, A can give B 20 points in 60 and he can give C 30 points in 60. How many points can B give C in a game of 100?
A dozen bananas and 10 pounds of oranges are currently at the same price. If the price of a dozen bananas rises by 20 percent and the price of oranges rises by 4 %. How much more will it cost to buy a dozen bananas and 10 pounds of oranges.
What is the rate percent when the simple interest on Rs.4000 amount to Rs.640 in 2 Years?
If x is divisible by 20, 14, and 70, which of the following must be the least multiple of x?
The longest side of a triangle is 3 times the shortest side and the third side is 2 cm shorter than the longest side. If the perimeter of the triangle is at least 61 cm,What is the minimum length of the shortest side?
Let the function T(n) represent the product of the first n prime numbers, where n > 0. If x = T(n) + 1, which of the following must be true? (i) x is always odd (ii) x is always prime (iii) x is never the square of an integer
A rower can row upstream at 15 kph and downstream at 35 kph. What is the speed of the rower in still water?
A university cafeteria offers 5 flavors of pizza - pork,pepperoni, chicken, Hawaiian and vegetarian. If a customer has an option (but not the obligation) to add extra cheese, mushrooms or both to any kind of pizza, how many different pizza varieties are available ?
A man goes from A to B at a speed of 20 kmph and comes back to A at a speed of 30 kmph. Find his average speed for the entire journey?
A certain car can travel 40 kilometers on a liter of fuel. If the fuel tank’s contents decrease by 3.9 gallons over a period of 5.7 hours as the car moves at a constant speed, how fast is the car moving, in miles per hour? (1 gallon = 3.8 liters; 1 mile = 1.6 kilometers)
An area of a circularplace is 17 hectares. Find the cost of fencing it at the rate of Rs. 3 permeter approximately.
A 12 month project had a total budget of $18,000. After five months, the project had spent $6,400. At this point, how much was the project under budget?
Dana borrows 6500 pounds annually for her college education. If Dana gives her parents 3% of that amount back each month, how much will she still owe her parents after four years of college?
A work could be completed in 100days by x workers. However, due to the absence of 10workers, it was completed in 110days. The original no.of workers was:
When m is divided by 9, the remainder is 4. When m is divided by 13, the remainder is 10. If 1 < m < 200, what is the greatest possible value of m?