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big_math_dataset

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A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue?
The compound ratio of 2/3, 6/7, 1/5 and 1/8 is given by?
The Malibu Country Club needs to drain its pool for refinishing. The hose they use to drain it can remove 60 cubic feet of water per minute. If the pool is 60 feet wide by 100 feet long by 10 feet deep and is currently at 80% capacity, how long will it take to drain the pool?
Rs.1210 were divided among 3 person P, Q, R so that P:Q=5:4 and Q: R=9:10. Then R gets the amount?
If 40 men can make 30 boxes in 20 days, How many more men are needed to make 60 boxes in 25 days?
What is the ratio between perimeters of two squares one having 3 times the diagonal then the other?
10 play kabadi, 30 play kho kho only, 5 play both gmaes. Then how many in total?
A train running at the speed of 300 km/hr crosses a pole in 15 seconds. What is the length of the train?
A superhero flies at an incredible rate of 1000 kilometers per minute. What is her speed in miles per hour? [1km = 0.6 miles]
Tickets numbered 1 to 30 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?
A train 125 m long passes a man, running at 15 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
In Jonathan's pen there are 300 sheep's. 5/6 of the sheep's are white, 2/3 of the sheep's have soft wool. What can't be the number of white sheep's that also have soft wool in the pen?
The initial price of an article is Rs.2000 which increases 30% increse in its price in the first year,a 20% decrease in the second year and a 10% increase in the next year. What is the final price of the article ?
A certain truck uses 18 gallons of diesel fuel in traveling 240 miles. In order for the truck to travel the same distance using 10 gallons of diesel fuel, by how many miles per gallon must the truck’s fuel mileage be increased?
A fast food company plans to build 4 new restaurants. If there are 12 sites that satisfy the company's criteria for location of new restaurant, in how many different ways can company select the 4 sites needed for the new restaurant if the order of selection doesn't matter.
The average mark of a class of twenty students is 64. If three students whose marks are 32,28 and 34 are removed , then find the approximate average mark of the remaining students of the class.
A manufacturer is using glass as the surface for the multi-touch screen of its smartphone. The glass on the manufactured phone has a 8% probability of not passing quality control tests. The quality control manager bundles the smartphone in groups of 10. If that bundle has any smartphone that does not pass the quality c...
Find the value of y from given equation: (12)^3 x 6^4 ÷ 432 = y?
{(481 + 426)2 - 4 x 481 x 426} = ?
Indu gave Bindu Rs.625 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest?
Magnabulk Corp sells boxes holding x magnets each. The boxes are shipped in crates, each holding b boxes. What is the price charged per magnet, in cents, if Magnabulk charges m dollars for each crate?
in how many ways u can form a group of 11 members from 5 men and 11 women if the men member not more than 3?
A person was fined for exceeding the speed limit by 10 km/hr.Another person was also fined for exceeding the same speed limit by twice the same.If the second person was traveling at a speed of 35 km/hr,find the speed limit.
The total age of A and B is 11 years more than the total age of B and C. C is how many year younger than A
3-3*5+2=
In the Hillside summer camp there are 60 children. 90% of the children are boys and the rest are girls. The camp administrator decided to make the number of girls only 5% of the total number of children in the camp. How many more boys must she bring to make that happen?
If n is a positive integer, what is the remainder when (7^(4n+3))(3^n) is divided by 10?
When 6 + 2 = 85, 8 + 3 = 115, 7 + 5 = 125, then 5 + 8 = ?
A honey bee flies for 10 seconds, from a daisy to a rose. It immediately continues to a poppy, flying for 6 additional seconds. The distance the bee passed, flying from the daisy to the rose is 8 meters longer than the distance it passed flying from the rose to the poppy. The bee flies to the poppy at 3 meters per seco...
How many of the following numbers are divisible by 3 but not by 9 ? 2133, 2343, 3474, 4131, 5286, 5340, 6336, 7347, 8115, 9276
For all numbers c and d, the operation @ is defined by c@d = c^2 - cd. If xy ≠ 0, then which of the following can be equal to zero? I. x@y II. (xy)@y III. x@(x + y)
Have a look at the formula P = nRT/V. if R is doubled, T is doubled and V is quadrupled, by what factor does P change.
John walking at 4 Kmph reaches his office 8 minutes late. If he walks at 6 Kmph, he reaches there 7 minutes earlier. How far is the office from his house?
One fill pipe A is 3 times faster than second fill pipe B and takes 10 minutes less time to fill a cistern than B takes. Find when the cistern will be full if fill pipe B is only opened.
Thurston wrote an important seven-digit phone number on a napkin, but the last three numbers got smudged. Thurston remembers only that the last three digits contained at least one zero and at least one non-zero integer. If Thurston dials 40 phone numbers by using the readable digits followed by 40 different random comb...
What is the least integer greater than 0+0.5?
Mathematics, physics, and chemistry books are stored on a library shelf that can accommodate 25 books. Currently, 20% of the shelf spots remain empty. There are twice as many mathematics books as physics books and the number of physics books is 4 greater than that of the chemistry books. Ricardo selects 1 book at rando...
A train covers a certain distance at a speed of 200kmph in 4 hours. To cover the same distance in 1 3/4 hours, it must travel at a speed of
Two bus tickets from city A to B and three tickets from city A to C cost Rs. 308 but three tickets from city A to B and two tickets from city A to C cost Rs. 292. What are the fares for cities B and C from A ?
A total of 3000 chocolates were distributed among 120 boys and girls such that each boy received 2 chocolates and each girl received 3 chocolates. Find the respective number of boys and girls?
What is the next number of the following sequence. 8, 8, 6, 2,.... ?
A train 500 m long passes a man, running at 9 km/hr in the same direction in which the train is going, in 20seconds. The speed of the train is:
How many ways are there for 3 males and 4 females to sit (around a circular table) if no male should sit next to a male (and no female next to female) and Mary wants to sit with her back on the wall?
Think of a number, divide it by 6 and add 5 to it. The result is 17. What is the number thought of?
The distance from City A to City B is 180 miles. While driving from City A to City B, Bob drives at a constant speed of 40 miles per hour. Alice leaves City A 30 minutes after Bob. What is the minimum constant speed in miles per hour that Alice must exceed in order to arrive in City B before Bob?
If the perimeter of a rectangular garden is 1200 m, its length when its breadth is 240 m is?
It takes Johnson 10 minutes to walk to the car park and 20 min to drive to work. At what time should he get out of the house in order to get to work at 9:00 a.m.?
What is the least value of integer N such that N! is divisible by 888 ?
Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm.
If -1 < x < 0, which of the following must be true? I. x^4 < x^3 II. x^6 < 1 – x III. x^5 < x^2
How many ways are there to arrange the letters in the word freelancer ?
In a certain game, each player scores either 2 or 5 points. If n players score 2 points and m players score 5 points and the total number of points scored is 60, what is the least possible difference between n and m.
If the average of ten numbers is 20, then which of the following could be the standard deviation of the ten numbers? I. 0 II. 10 III. 20
A garrison of 500 men has provisions for 20 days. At the end of 14 days, a reinforcement arrives, and it is now found that the provisions will last only for 3 days more. What is the reinforcement?
To be considered grade AD, an egg must weigh between 75 and 90 grams, including the shell. Shells of grade AD eggs weigh between 3 and 5 grams. What is the smallest possible mass, in grams, of a 12-egg omelet, assuming that only grade AD eggs are used, the shells are all discarded, and no mass is lost in the cooking pr...
There are 5 bags three of which each contains 5 white and 2 black balls, and remaining 2 bags each contains 1 white and 4 black ball; a black ball has been drawn, find the chance that it came from second group.
A work which could be finished in 10 days was finished 3 days earlier after 10 more men joined. The number of men employed was?
With out any halt a train travels a certain distance with an average speed of 55 km ph , and with halts it covers the same distance at an average speed of 30 kmph. When it is traveling with halts, how many minutes/per hour does the train halt on an average ?
Simplify: 8755 x 95
The total age of A and B is 12 years more than the total age of B and C. C is how many years younger than A?
Ten coins are tossed simultaneously. In how many of the outcomes will the second coin turn up a head?
There are 80 people and 3 clubs M, S, and Z in a company. 20 people joined M, 22 people joined S and 15 people joined Z. If the members of M did not join any other club, at most, how many people of the company did not join any club?
A family has two children. find the probability that both the children are girls given that at least one of them is a girl?
The value of (34.5*0.473*1.567)/(0.0673*23.25*7.57) is close to
Three candidates contested an election and received 3000, 7500 and 6500 votes respectively. What percentage of the total votes did the winning candidate get ?
Albert has a box of crayons. Each box contains 20 different colored crayons. How many crayons does Albert have if he buys 2 additional boxes?
The city of Boston decided to reconstruct its major tunnels. It estimated the job would require 612 mini projects spread evenly over an 18 month plan of completion. Only 108 mini projects had been successfully completed after 9 months. At this time, the construction was behind schedule by how many projects?
Its not easy having a mathematics professor as a friend. When she invited you to her house she says, “All the houses on my side of the street are numbered consecutively in even numbers. There are Six houses on my Side of my block and sum of their numbers is 9870. You don’t know which block I live on, and it’s a long st...
capacity of doing work of A is double than B.if both together finish a work in 12 days,then B alone in how many days will finish the work?
Find the value of 72519 x 9999 = m?
Look at this series: VI, 10, V, 11, __, 12, III, ... What number should fill the blank?
The angle between the minute hand and the hour hand of a clock when the time is 4.20, is:
Which of the following is equal to the value of 2^2 + 2^2 + 3^2 + 3^2 + 3^2 ?
The number N is 5,H48, where H represents the hundred's digit. If N is divisible by 11, what is the value of H
The digital sum of a number is the sum of its digits. For how many of the positive integers 24-100 inclusive is the digital sum a multiple of 7?
In a certain game, you pick a card from a standard deck of 52 cards. If the card is a heart, you win. If the card is not a heart, the person replaces the card to the deck, reshuffles, and draws again. The person keeps repeating that process until he picks a heart, and the point is to measure: how many draws did it take...
Jim wishes to buy 3 gifts that cost 31 dollars, 9 dollars, and 12 dollars. He has 1/4 of the money he needs. How much more money must he earn in order to buy the gifts?
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?
A truck carrying cans of soup contains P stacks. Each stack contains Q cases, and each case contains 3Q cans. How many cans of soup are contained in 6 trucks?
A necklace is made by stringing N individual beads together in the repeating pattern red bead, green bead, white bead, blue bead and yellow bead. If the necklace begins with a red bead and ends with a white bead, then N could be:
The probability that a man will be alive for 10more yrs is 3/4 & the probability that his wife will alive for 10 more yrs is 3/7. The probability that none of them will be alive for 10 more yrs, is
How many hours in one year?
If f(c)=c^2 and c is a positive integer, which of the following CANNOT be the value of f(f(c))?
Half of 6 percent written as decimal is
Indu gave Bindu Rs.2500 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest?
In how many ways can 5 letters be posted in 3 post boxes, if any number of letters can be posted in all of the three post boxes?
A goods train runs at the speed of 72 km/hr and crosses a 210 m long platform in 26 sec. What is the length of the goods train?
In a race with 9 competitors, the first-place finisher receives a gold medal, the second-place finisher receives a silver medal, and the third-place finisher receives a bronze medal. If there are no ties, in how many different ways may these three medals be awarded?
Out of four numbers ,the average of first three is 20 and that of the last three is 15. If the last number is 18,the first number is :
If (a) '1 2 3' stands for 'These are girls', (b) '135' stands for 'girls are clever' and (c) '156' stands for 'clever girls sing', which numerical stands for 'clever'?
The length of minute hand of a clock is 5.4 cm. What is the area covered by this in 20 minutes
Evaluate: 55 - 12*3*2 = ?
A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
In an increasing sequence of 12 consecutive even integers, the sum of the first 4 integers is 268. What is the sum of all the integers in the sequence?
How many consonants are present between the first and sixth vowel in the sequence of English alphabet ?
What is the total surface area in square meters of a rectangular solid whose length is 5 meters, width is 4 meters, and depth is 1 meters?
Find the odd man out 864, 420, 200, 90, 40, 16, 6
Running at their respective constant rates, machine X takes 6 days longer to produce w widgets than machine Y. At these rates, if the two machines together produce 5/4 w widgets in 3 days, how many days would it take machine X alone to produce 2w widgets?
In a certain quiz that consists of 8 questions, each question after the first is worth 4 points more than the preceding question. If the 10 questions on the quiz are worth a total of 360 points, how many points is the third question worth?
The five sides of a pentagon have lengths of 2, 3, 4, 5 and 6 inches. Three pentagons are considered different only when the positions of the side lengths are different relative to each others. What is the total number of different possible pentagons that could be drawn using these five side lengths ?