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big_math_dataset

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If a car had traveled 25 kmh faster than it actually did, the trip would have lasted 30 minutes less. If the car went exactly 75 km, at what speed did it travel?
In a class everyone will play at least one sport viz table tennis, cricket and badminton. 73 students play table tennis, 79 play badminton, 75 play cricket and 25 students play both table tennis and badminton, 24 play both table tennis and cricket 30 play. Badminton and cricket and 17 students play all the sports. How many students play only cricket ?
A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.12350. Find the share of A?
After 95 liters of petrol were poured into the tank, it was still 5% empty. How much petrol must be poured into the tank in order to fill it?
In a school 10% of the boys are same in number as 1/2th of the girls. what is the ratio of boys to the girls in the school?
In case P there are 2 red pens and 3 blue pens, in case Q there is 1 red pen and 4 blue pens. A case is randomly picked, what is the probability of picking up a red pen from case Q?
A team of eight entered for a shooting competition. The best marks man scored 85 points. If he had scored 92 points, the average scores for. The team would have been 84. How many points altogether did the team score?
The organizers of a fair projected a 25 percent increase in attendance this year over that of last year, but attendance this year actually decreased by 20 percent. What percent of the projected attendance was the actual attendance?
A train 110 m long is running with a speed of 30 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
A and B can do a piece of work in 8 days. With the help of C they finish the work in 4 days. C alone can do that piece of work in?
When a certain number X is divided by 143, the remainder is 42. Which of the following numbers, if added to X, would result in a number divisible by 13?
(√27+√243)/√48=?
Solution A is 20% chlorine and Solution B is 80% chlorine. If you have 30 ounces of solution A and 60 ounces of solution B, in what ratio could you mix Solution A with Solution B to produce 50 ounces of a 50% chlorine solution?
Find the number, the second digit of which is smaller than its first digit by 4, and if the number was divided by the digit’s sum, the quotient would be 7.
There is a 40% chance that Betty will visit Denmark this year, while there is a 30% chance that she will visit Peru this year. What is the probability that Betty will visit either Denmark or Peru this year, but NOT both?
The ratio of the arithmetic mean of two numbers to one of the numbers is 5:7. What is the ratio of the smaller number to the larger number?
At a tanning salon, customers are charged $10 for their first visit in a calendar month and $5 for each visit after that in the same calendar month. In the last calendar month, 100 customers visited the salon, of which 30 made a second visit, and 10 made a third visit. All other customers made only one visit. If those visits were the only source of revenue for the salon, what was the revenue for the last calendar month at the salon?
Light glows for every 16 seconds . How many times did it between 1:57:58 and 3:20:47 am
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If four marbles are picked at random, what is the probability that none is blue?
A bag contains 12 white and 18 black balls. 2balls are drawn in succession. What is the probability that first is white and second is black?
What is the area of square field whose side of length 15 m?
If seven numbers are randomly selected without replacement from set {1, 2, 3, 4, 5, 6, 7}, what is the probability that the numbers are selected in ascending order?
Solution x contains 75% water and 25% oil; how many more liters of water than liters of oil are in 200 liters of solution x?
What is the greatest prime factor of (14!13!) + (14!15!)?
In a jar there are balls in different colors: blue, red, green and yellow. The probability of drawing a blue ball is 1/5. The probability of drawing a red ball is 1/5. The probability of drawing a green ball is 1/10. If a jar cannot contain more than 50 balls, how many yellow balls are in the Jar?
How many numbers from 45 to 110 are exactly divisible by 12?
A train passes a station platform in 36 sec and a man standing on the platform in 24 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
Four staff members at a certain company worked on a project. The amounts of time that the four staff members worked on the project were in the ratio 2 to 3 to 5 to 6. If one of the four staff members worked on the project for 150 hours, which of the following CANNOT be the total number of hours that the four staff members worked on the project?
There are 2 sections A and B in a class, consisting of 24 and 16 students respectively. If the average weight of section A is 40kg and that of section B is 35kg, Find the average of the whole class?
The average amount with a group of seven numbers is Rs. 20. If the newly joined member has Rs. 56 with him, what was the average amount with the group before his joining the group?
Sue's trail mix is 30% nuts and 70% dried fruit. Jane's trail mix is 60% nuts and 40% chocolate chips. If the combined mixture of Sue and Jane's trails mix contains 40% nuts, what percent of the combined mixture is dried fruit?
If it is assumed that 65 percent of those who receive a questionnaire by mail will respond and 300 responses are needed, what is the minimum number of questionnaires that should be mailed?
The rate of increase of the price of sugar is observed to be two percent more than the inflation rate expressed in percentage. The price of sugar, on January 1, 1994, is Rs. 40 per kg. The inflation rate for the years 1994 and 1995 are expected to be 18% each. The expected price of sugar on January 1, 1996 would be
Susan weighs 10 pounds more than Anna does, and together they weigh a total of 110 pounds. Which of the following represents Anna’s weight in pounds?
If the pice of sugar rises from Rs. 6 per kg to Rs. 7.50 per kg, a person, to have no increase in his expenditure on sugar, will have to reduce his consumpion of sugar by
Before leaving home for the town of Madison, Pete checks a map which shows that Madison is 5 inches from his current location, Gardensquare. Pete arrives in Madison 3.5 hours later and drove at an average speed of 60 miles per hour. At what scale, in inches per mile, is the map drawn?
For 600 km journey it will take 8hrs, if 120 km is done by bus and the rest by car. It takes 20 minutes more, if 200 km is done by busand the rest by car. The ratio of the speed of the train to that of the cars is?
A seller of used cars has 16 cars to sell and each of his clients selected 2 cars that he liked most. If each car was selected exactly thrice, how many clients visited the garage?
If the length of a certain rectangle is decreased by 4 cm and the width is increased by 3 cm, a square with the same area as the original rectangle would result. Find the perimeter of the original rectangle.
How much is it cost $0.50 each tire for 8 tires?
Set A {3,3,3,4,5,5,5} has a standard deviation of 1. What will the standard deviation be if every number in the set is multiplied by 5?
If a certain manager had received a 10% raise instead of the 12% raise that she actually received, her salary would have been $65000. What was her actual salary after the raise?
Multiplication of 2 numbers is 9375 and the quotient, when the larger one is divided by the smalleris 15. Find the sum of the numbers?
x-1-x=5-then-x-4-3x-3-5x-2-3x-1-x-4-1
(164)^2 - (163)^2 =
45 litres of diesel is required to travel 600 km using a 800 cc engine. If the volume of diesel required to cover a distance varies directly as the capacity of the engine, then how many litres of diesel is required to travel 800 km using 1200 cc engine?
If q and s are positive integers such that (2^q)(4^s) = 16, then 2q + s =
Find the smallest positive integer n such that tn of the arithmetic sequence 20,19¼ ,18½ ,… is nagative
Rahul went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
If A(k)=(2k+1)^K, and k=0, what is the value of A(A(A(k)))?
What is the sum of the different positive prime factors of 1080?
The side of a square has the length of 7. What is the area of the region shaded?
Two friends plan to walk along a 33-km trail, starting at opposite ends of the trail at the same time. If Friend P's rate is 20% faster than Friend Q's, how many kilometers will Friend P have walked when they pass each other?
The ratio between the sale price and the cost price of an article is 6:5. What is the ratio between the profit and the cost price of that article?
How many 7 in between 1 to 90?
In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was :
If the compound interest on a certain sum of money for 4 years at 10% per annum be Rs. 993, what would be the simple interest?
ASvennumber is defined as a five-digit number which goes according to the following rules: the leftmost digit is even, any digit to the right of an even digit must be an odd digit, and any digit to the right of an odd digit can only be one of the digits 1 or 6. How many different 5-digit numbers areSvennumbers?
How many words can be formed from the letters of the word "AFTER", so that the vowels never comes together
Two same glasses are respectively 1/4th 1/5th full of milk. They are then filled with water and the contents mixed in a tumbler. The ratio of milk and water in the tumbler is?
The speed of a train that is 250 meter in length passing from a railway platform is 150 km/hour. The length of platform is 500 meter. What is the time taken by the train to cross the platform?
The difference between the place values of two sixes in the numerical 81369206 is
A 200 meter long train crosses a platform in 50 seconds while it crosses a signal pole in 42 seconds. What is the length of the platform?
Two persons start running simultaneously around a circular track of length 300 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions?
Pipe A can fill a tank in 4 hours, pipe B in 6 hours, and pipe C in 12 hours. If all the pipes are open, in how many hours will the tank be filled?
In a business, A and C invested amounts in the ratio 4 : 3 , whereas the ratio between amounts invested by A and B was 1 : 2 . If Rs 182100 was their profit, how much amount did B receive?
The third proportional to 1 and 2 is?
160% of 5/8 =
What is the remainder when 1044 * 1047 * 1050 * 1053 is divided by 33?
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?
P is three times as fast as Q and working together, they can complete a work in 18 days. In how many days can Q alone complete the work?
The probability that A speaks truth is 3/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact?
A composer’s guild is planning its spring concert, and ten pieces have been submitted for consideration. The director of the guild knows that they will only have time to present four of them. If the pieces can be played in any order, how many combinations of pieces are possible?
Kathleen can paint a room in 2 hours, and Anthony can paint an identical room in 3 hours. How many hours would it take Kathleen and Anthony to paint both rooms if they work together at their respective rates?
5/4 of all married couples have more than one child. 2/5 of all married couples have more than 3 children. What fraction of all married couples have 2 or 3 children?
Tough and Tricky questions: Exponents. If 2^m3^m3^m = 9^n, then m/n =
The sum of two numbers is 25 and their difference is 13. Find their product.
Find curved surface area of a cylinder with diameter of base 14 cm and height 60 cm.
Raman travelled for 10 hours. He covered the first half of the distance at 20 kmph and remaining half of the distance at 15 kmph. Find the distance travelled by Raman?
A girl has to make pizza with different toppings. There are 8 different toppings. In how many ways can she make pizzas with 2 different toppings?
A clock store sold a certain clock to a collector for 30 percent more than the store had originally paid for the clock. When the collector tried to resell the clock to the store, the store bought it back at 60 percent of what the collector had paid. The shop then sold the clock again at a profit of 90 percent on its buy-back price. If the difference between the clock's original cost to the shop and the clock's buy-back price was $150, for how much did the shop sell the clock the second time?
Which of the following is not a prime number ?
in a bus left side are 15 seats available,3 few seats in right side because in rear exit door .Each seat hold 3 people.In addition ,there is a seat back can sit 11 people all together .how many people can sit in a bus?
P is able to do a piece of work in 15 days and Q can do the same work in 20 days. If they can work together for 4 days, what is the fraction of work left?
The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is
In how many different ways can the letters of the word MISSISSIPPI be arranged if the vowels must always be together?
Before 6 years, dog A’s age was 4 times of dog B’s age and after 4 years, dog A’s age will be 3 times of dog B’s age. What is the difference of dog A’s age and dog B’s now?
In the year 1990 there are 5000 men 3000 women 2000 boys. In 1994 men are increased by 20% women are increased by ratio of boys and women?
A shirt goes on sale for 70% of its original price. One week later, the sale price is marked down 10%. The final price is what percent of the original price?
A die is thrown twice and the sum of the numbers appearing is observed to be 6. find the conditional probability that the number 4 has appeared at least once?
A book store bought copies of a new book by a popular author, in anticipation of robust sales. The store bought 400 copies from their supplier, each copy at wholesale price y. The store sold the first 150 copies in the first week at 80% more than y, and then over the next month, sold a 100 more at 20% more than y. Finally, to clear shelf space, the store sold the remaining copies to a bargain retailer at 40% less than y. What was the bookstore’s net percent profit or loss on the entire lot of 400 books?
A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?
The sector of a circle has radius of 21 cm and central angle 135o. Find its perimeter?
A man buys a cycle for Rs. 2000 and sells it at a loss of 10%. What is the selling price of the cycle?
6 noun, 4 verbs and 3 adjectives are written on blackboard.we can form sentence by choosing 1 from each available set without caring it makes sense or not.what is the number of ways of doing this??
The average weight of 29 students is 28 kg. By the admission of a new student, the average weight is reduced to 27.4 kg. The weight of the new student is
A train 120m long is running at 60kmph. In how much time will it pass a platform 240m long?
Factory X's bulbs work for over 4000 hours in 59% of cases, whereas factory Y's bulbs work for over 4000 hours in 65% of cases. It is known that factory X supplies 60% of the total bulbs available. What is the chance that a purchased bulb will work for longer than 4000 hours?
The average age of a committee of 8 members is 40 years. A member aged 55 years retired and his place was taken by another member aged 32 years . The average age of present committee is;
Tim is now 16 years older than Donna. If in 4 years Tim will be twice as old as Donna, how old will Tim be in 11 years?