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big_math_dataset

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A and B together have Rs. 1210. If 4/15 of A's amount is equal to 2/5 of B's amount, how much amount does B have?
Train starts from amritsar to Bombay at 9am. It reaches destination after 3days at 9:30am. Every day a train starts. How many trains does it come across on the way ?
For the past n days, the average (arithmetic mean) daily production at a company was 50 units. If today's production of 60 units raises the average to 55 units per day, what is the value of n ?
By selling 150 mangoes, a fruit-seller gains the selling price of 30 mangoes. Find the gain percent?
There were two candidates in an election. Winner candidate received 56% of votes and won the election by 288 votes. Find the number of votes casted to the winning candidate?
Rahul went to purchase a Nokia mobile handset, the shopkeeper told him to pay 20% tax if he asked the bill. Rahul manages to get the discount of 5% on the actual saleprice of the mobile and he paid the shopkeeper Rs. 3325 without tax. Besides he manages to avoid to pay 20% tax on the already discounted price, what is t...
A 2-year certificate of deposit is purchased for E dollars. If the certificate earns interest at a n annual rate of 6 percent compound quarterly, which of the following represents the value, in dollars, of the certificate at the end of 2 years?
Farm Tax is levied on the 50% of the cultivated Land. The tax department collected total $ 3840 through the farm Tax from the village of Mr. william. Mr. william paid only $ 480 as farm tax. The percentage of total land of Mr. willam over the total taxable land of the village is :
Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.15 km and 0.6 km respectively. The time taken by the slower train to cross the faster train in seconds is?
In the fifth grade at Parkway elementary school there are 420 students. 312 students are boys and 250 students are playing soccer. 86% of the students that play soccer are boys. How many girl student are in Parkway that is not playing soccer?
Fox jeans regularly sell for $15 a pair and Pony jeans regularly sell for $18 a pair. During a sale these regular unit prices are discounted at different rates so that a total of $9 is saved by purchasing 5 pairs of jeans: 3 pairs of Fox jeans and 2 pairs of Pony jeans. If the sum of the two discounts rates is 22 perce...
4^15 is equal to which of the following?
Sheila works 8 hours per day on Monday, Wednesday and Friday, and 6 hours per day on Tuesday and Thursday. She does not work on Saturday and Sunday. She earns $468 per week. How much does she earn in dollars per hour?
The Shopkeeper increased the price of a product by 22% so that customer finds it difficult to purchase the required amount. But somehow the customer managed to purchase only 70% of the required amount. What is the net difference in the expenditure on that product?
I sold a book at a profit of 10%. Had I sold it for $140 more, 15% would have been gained. Find the cost price?
In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?
In a 1000 m race, A beats B by 50 m and B beats C by 100 m. In the same race, by how many meters does A beat C?
0.009/x=0.05. find the value of X
If a: b = 7: 5, b: c = 9: 11, find a: b: c?
A man swims downstream 32 km and upstream 24 km taking 4 hours each time, what is the speed of the man in still water?
how many number of three digit numbers can be formed usingzs numbers 2,3,4,5 in which no repeatation..?
A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent?
The length of the bridge, which a train 130 m long and traveling at 45 km/hr can cross in 30 sec is?
Two trains 151 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet?
To fill an art exhibit, the boys in an art course are assigned to create one piece of artwork each in the following distribution: 1/3 are sculptures, 1/8 are oil paintings, 1/2 are watercolors, and the remaining 10 pieces are mosaics. How many boys are in the art class?
Let Q represent a set of six distinct prime numbers. If the sum of the numbers in Q is even and x is a member of Q, then what is the least possible value that x can be?
If 20% of a = b, then b% of 20 is the same as:
An article costs Rs. 600. What should be the marked price of an article so that after 10% discount, the trader makes 20% profit?
The average expenditure of a man for the first five months is Rs.120 and for the next seven months it is Rs.130. If he saves Rs.290 in that year, his monthly average income is :
Total 100 members are writing exam. In the 48 members are writing first exam. 45 members are writing second exam. 38 members are writing third exam. 5 members are writing all the three exams. How many members are writing 2 exams?
Evaluate: (1 - 1/10)(1 - 1/11)(1 - 1/12)...(1 - 1/99)(1 - 1/100)
A man’s speed with the current is 17 km/hr and the speed of the current is 2.5 km/hr. the man’s speed against the current is :
A pipe can fill a cistern in 20 minutes whereas the cistern when fill can be emptied by a leak in 28 minutes. When both pipes are opened, find when the cistern will be full?
Shopkeeper rise price by 34% and gives successive discount of 10% and 15%. What is overall % gain or loss?
On a test, students receive 5 points for each correct answer and are penalized by losing one point for each incorrect answer. There are 6 questions on the test and each question has 4 answer options, A, B, C, and D. It is known that 5 of the questions have option B as the correct answer and one question has option C as...
The ratio of the present ages of a son and his father is 1 : 5 and that of his mother and father is 4 : 5. After 2 years the ratio of the age of the son to that of his mother becomes 3 : 10. What is the present age of the father?
A and B invests Rs.3000 and Rs.4000 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit?
The difference of two numbers is 11. One third of their sum is 7. What are the two numbers?
A shade of paint is made by evenly mixing m gallons of white paint, costing $12 a gallon, with n gallons of blue paint, costing $30. What is the cost, in dollars per gallon, of the resulting mixture?
If the population of a certain country increases at the rate of one person every 20 seconds, by how many persons does the population increase in 30 minutes?
The smallest 3 digit prime number is:
By selling a watch for Rs.560/-, a man loses 20% what is that watch cost price?
In a division sum, the remainder is 0. As student mistook the divisor by 12 instead of 21 and obtained 35 as quotient. What is the correct quotient?
A person invested in all Rs. 2600 at 4%, 6% and 8% per annum simple interest. At the end of the year, he got the same interest in all the three cases. The money invested at 4% is?
If the area of circle is 452 sq cm then its circumference?
The diameter of a wheel is 0.7 m. How far will it travel in 200 revolutions
John left home and drove at the rate of 35 mph for 2 hours. He stopped for lunch then drove for another 3 hours at the rate of 55 mph to reach his destination. How many miles did John drive?
A, B and C rents a pasture for Rs.870. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should C pay?
40% of a number is more than 20% of 650 by 190. Find the number?
Machine A working alone can complete a job in 9 hours. Machine B working alone can do the same job in 12 hours. How long will it take both machines working together at their respective constant rates to complete the job?
In how many ways, a committee of 5 members can be selected from 6 men and 5 ladies, consisting of 3 men and 2 ladies?
If A is to be chosen at random from the set {56,85,41} and B is to be chosen at random from the set {1,2,3,4,5}, what is the probability that AB will be odd?
Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 7 seconds. What is the length of the fast train?
Johnny travels a total of one hour to and from school. On the way there he jogs at 5 miles per hour and on the return trip he gets picked up by the bus and returns home at 21 miles per hour. How far is it to the school?
Rs. 800 becomes Rs. 956 in 3 years at a rate of S.I. If the rate of interest is increased by 4%, what amount will Rs. 800 become in 3 years?
If y ≠ 3 and 2x/y is a prime integer greater than 2, which of the following must be true? I. x = y II. y = 1 III. x and y are prime integers.
In the list 3, 4, 5, 5, 5, 5, 7, 11, 21, what fraction of the data is less than the mode?
Eleven books consisting of 4 financial management, 3 marketing management and 4 system management are placed on a shelf at random order. What is the probability that the books of each kind are all together.
In the year 2011, Shantanu gets a total of Rs. 3832.5 as his pocket allowance. Find his pocket allowance per day.?
Three numbers are in the ratio 3:5:7. The largest number is 56. What is the difference between smallest and largest number?
A and B can do a piece of work in 40 days and 50 days respectively. They work together for 10 days and B leaves. In how many days the whole work is completed?
I had 30 donuts when I left home this morning but only 9 when I came back home. What percentage of the donuts are missing?
The average salary of 20 people in the shipping department at a certain firm is $1000. The salary of 10 of the employees is $600 each and the salary of 6 of the employees is $200 each. What is the average salary of the remaining employees?
A student was asked to find the arithmetic mean of the numbers 3, 11, 7, 9, 15, 13, 8, 19, 17, 21, 14 and x. He found the mean to be 12. What should be the number in place of x ?
The perimeter of a triangle is 48 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
For the positive numbers, n, n + 3, n + 5, n + 8, and n + 9, the mean is how much greater than the median?
If p/5 = r/2 and r = 0.75s, what is the ratio of p to r to s?
If 522x is a 3 digit no. with as a digit x. If the no.is divisible by 6, What is the value of the digit x is?
10% of a number is more than 20% of 650 by 190. Find the number?
Two dice are rolled. What is the probability the sum will be greater than 10?
If an amount of Rs 42,680 is distributed equally amongst 22 persons, how much amount would each person get?
How long will it take a train travelling at 68kmph to pass an electric pole if the train is 170 m long
A person travels equal distances with speeds of 3 km/hr, 4 km/hr and 5 km/hr and takes a total time of 52 minutes. The total distance is?
A company issued 20000 shares of par value Rs. 10 each. If the total divided declared by the company is Rs.24000, find the rate of dividend paid by the company.
Complete the series 6,120, 504, 1320
If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area?
The speed of a boat in upstream is 80 kmph and the speed of the boat downstream is 120 kmph. Find the speed of the boat in still water and the speed of the stream?
What was the day of the week on 15th May, 2006?
Of 61 players on a cricket team, 37 are throwers. The rest of the team is divided so one third are left- handed and the rest are right handed. Assuming that all throwers are right handed, how many right- handed players are there total?
A company plans to gradually replace its fleet of 20 cars with newer models. At the end of every year starting with 2000 it retires 5 of its old cars and buys 6 new models.How many years did it take before the number of older cars left in the company's fleet was less than 50 percent of the fleet?
A 40 gallon solution of salt and water is 10% salt. How many gallons of water must be added to the solution in order to decrease the salt to 8% of the volume?
The cost to rent a small bus for a trip is x dollars, which is to be shared equally among the people taking the trip. If 10 people take the trip rather than 24, how many more dollars, in terms of x, will it cost per person?
Find the value of m 32519 x 9999 = m?
A, Band C enter into partnership. A invests 3 times as much as B and B invests two-third of what C invests. At the end of the year, the profit earned is Rs. 7700. What is the share of B ?
An ant walks an average of 600 meters in 12 minutes. A beetle walks 15% less distance at the same time on the average. Assuming the beetle walks at her regular rate, what is its speed in km/h?
An empty fuel tank with a capacity of 218 gallons was filled partially with fuel A and then to capacity with fuel B. Fuel A contains 12% ethanol by volume and fuel B contains 16% ethanol by volume. If the full fuel tank contains 30 gallons of ethanol, how many gallons of fuel A were added?
eight mobsters have arrived at the theater for the premiere of the film “Goodbuddies.” One of the mobsters, Frankie, is an informer, and he's afraid that another member of his crew, Joey, is on to him. Frankie, wanting to keep Joey in his sights, insists upon standing behind Joey in line at the concession stand, though...
If all the 6 are replaced by 9, then the algebraic sum of all the numbers from 1 to 100(both inclusive) varies by
If n is an integer greater than 8, which of the following must be divisible by 8 ?
Tough and Tricky questions: Statistics. Set X consists of prime numbers {3, 11, 7, A, 17, 19}. If integer Y represents the product of all elements in set X and if 11Y is an even number, what is the range of set X?
A paper is in a square form whose one side is 20 cm. Two semi circles are drawn on its opposites as diameters. If these semi circles are cut down what is the area of the remaining paper?
A restaurant meal cost $34.50 and there was no tax. If the tip was more than 10 percent but less than 15 percent of the cost of the meal, then total amount paid must have been between:
The ratio of two numbers is 3:4 and their sum is 28. The greater of the two numbers is?
The sum of three consecutive even numbers is 42. Find the middle number of the three?
Mohit sold an article for Rs. 18000. Had he offered a discount of 25% on the selling price, he would have earned a profit of 8%. What is the cost price of the article?
An empty pool being filled with water at a constant rate takes 3hours to fill to 3/5 of its capacity.how much more time will it take to finish filling the pool?
The first flight out of Phoenix airport had a late departure. If the next three flights departed on-time, how many subsequent flights need to depart from Phoenix on-time, for the airport's on-time departure rate to be higher than 80%?
Average of 8 numbers is zero. At most how many numbers may be greater than zero
Sachin is younger than Rahul by 6 years. If the ratio of their ages is 7:9, find the age of Sachin
Which of the following could be the sum of the reciprocals of two prime numbers?