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big_math_dataset

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What is the greatest prime factor of 1+2+3+。。。+106?
Sum of the squares of 3 no. is 252 and the sum of their products taken two at a time is 116. Find the sum?
How many different ways can 2 students be seated in a row of 3 desks, so that there is always at least one empty desk between the students?
After a storm deposits 120 billion gallons of water into the city reservoir, the reservoir is 85% full. If the original contents of the reservoir totaled 220 billion gallons, the reservoir was approximately what percentage full before the storm?
What is the ratio of the volumes of a right cylinder to that of a right cone having equal diameters?
If Greg buys 6 shirts, 4 trousers and 2 ties, the total cost is $80. If Greg buys 4 shirts, 2 trousers and 2 ties, the total cost is $140. How much will it cost him to buy 3 trousers, 5 shirts and 2 ties?
(X)+1315+9211-1569=11901. Calculate the value of X
Length of a rectangular plot is 20 mtr more than its breadth. If the cost of fencin gthe plot at 26.50 per meter is Rs. 5300, what is the length of the plot in mtr?
217 x 217 + 183 x 183=?
How many of the positive factors of 85 , 105 and how many common factors are there in numbers?
The average weight of A, B and C is 44 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:
If x < y < z and y - x > 5, where x is an even integer and y and z are odd integers, what is the least possible value D of z - x?
John and Lewis leave Chennai for Bangalore simultaneously at 8 P.M in the night driving in two cars at speeds of 50 mph and 70 mph respectively. As soon as Lewis reaches Bangalore he returns back to Chennai along the same route and meets John on the way back. If the distance between the two cities is 210 miles, how far...
There are 10 seats around a circular table. If 8 men and 2 women have to seated around a circular table, such that no two women have to be separated by at least one man. If P and Q denote the respective number of ways of seating these people around a table when seats are numbered and unnumbered, then P : Q equals?
If the President and Vice President must sit next to each other in a row with 1 other members of the Board, how many different seating arrangements are possible?
At 1:00, Annie starts to bicycle along a 58 mile road at a constant speed of 14 miles per hour. Thirty minutes earlier, Scott started bicycling towards Annie on the same road at a constant speed of 12 miles per hour. At what time will they meet?
8.008/1.001
Sandy is younger than Molly by 14 years. If the ratio of their ages is 7:9, how old is Sandy?
Linda spent 3/5 of her savings on furniture and the rest on a TV. If the TV cost her $400, what were her original savings?
How many ways are there to award a gold, silver and bronze medal to 5 contending teams?
The sub-duplicate ratio of 25:16 is
Find large number from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
One water pump can fill half of a certain empty tank in 5 hours. Another pump can fill half of the same tank in 5.5 hours. Working together, how long will it take these two pumps to fill the entire tank?
Walking at 5/6 of her normal speed, a worker is 12 minutes later than usual in reaching her office. The usual time (in minutes) taken by her to cover the distance between her home and her office is
Janes can eat 25 marshmallows is 20 minutes. Dylan can eat 25 in one hour. In how much time will the two eat 150 marshmallows?
Three students appear at an examination of Mathematics. The probability of their success are 1/3, 1/4, 3/5 respectively. Find the probability of success of at least two.
Factor: 3y(x – 3) -2(x – 3)
If x+|x|+y=2 and x+|y|-y=6 what is x+y=?
Alex deposited x dollars into a new account that earned 9 percent annual interest, compounded annually. One year later Alex deposited an additional x dollars into the account. If there were no other transactions and if the account contained w dollars at the end of two years, which of the following expresses x in terms ...
A bus starts from city X. The number of women in the bus is half of the number of men. In city Y, 10 men leave the bus and five women enter. Now, number of men and women is equal. In the beginning, how many passengers entered the bus ?
In a certain book club, the members are voting between two books – a mystery novel and a biography – to decide which book the group will read next. There are 2 times as many votes for the mystery novel as there are votes for the biography. The ratio of biography votes to the total number of votes is
The work done by a man, a woman and a child is in the ratio of 3:2:1. There are 20 men, 30 women & 48 children in a factory. Their weekly wages amount to Rs.840, which is divided in the ratio of work done by the men, women and children. What will be the wages of 15 men, 21 women & 30 children for 2 weeks?
A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?
A board of length L feet is cut into two pieces such that the length of piece A is 4 feet less than three times the length of piece B. Which of the following is the length, in feet, of piece A?
A producer of tea blends two varieties of tea from two tea gardens one costing Rs 18 per kg and another Rs 20 per kg in the ratio 5 : 3. If he sells the blended variety at Rs 23 per kg, then his gain percent is
A city with a population of 126,160 is to be divided into 7 voting districts, and no district is to have a population that is more than 10 percent greater than the population of any other district. What is the minimum possible population that the least populated district could have?
A cicketer bas a certain average for 10 innings, In the eleventh inning, he scorod 108 runs, thereby increasing his average by 6 runs. His new average is
The average age of three boys is 25 years and their ages are in the proportion 3 : 5 : 7. The age of the youngest boy is
A certain sum of money at simple interest amounted Rs.945 in 9 years at 3% per annum, find the sum?
A train 250 m long running at 72 kmph crosses a platform in 40 sec. What is the length of the platform?
Four different children have jelly beans: Aaron has 5, Bianca has 7, Callie has 8, and Dante has 9. How many jelly beans must Dante give to Aaron to ensure that no child has more than 1 fewer jelly beans than any other child?
If 0 < m < 1 < n< 5, which of the following must be less than 1? I.m/n II. mn III. n - m
An error 10% in excess is made while measuring the side of a square. Now What is the percentage of error in the calculated area of the square?
What is the HCF of 2/3, 5/9 and 6/5
The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 km. then find the speed of the faster train?
Which of the following must be subtracted from 2^120 so that the resulting integer will be a multiple of 3?
A room of 2m 40cm long and 4m 20cm broad is to be paved with square tiles. Find the least number of square tiles required to cover the floor.
Mr. Yutaro’s class contains 12 boys and 4 girls. If two students are chosen, one at a time, from the class, what is the probability that a boy and a girl are chosen?
The perimeter of a triangle is 36 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
For what value(s) of n is the following equation satisfied: 2n-6-5n = 5n+7-4n
8 men can dig a pit in 20 days. If a man works half as much again a s a boy, then 4 men and 9 boys can dig a similar pit in:
If n is a prime number and n ≠ 3, which of the following could be the remainder when 100! + n is divided by 3? I. 2 II. 1 III. 0
One pump drains one-half of a pond in 5 hours, and then a second pump starts draining the pond. The two pumps working together finish emptying the pond in one-half hour. How long would it take the second pump to drain the pond if it had to do the job alone?
The H.C.F. of two numbers is 30 and the other two factors of their L.C.M. are 15 and 12. The larger of the two numbers is
If a number is chosen at random from the set of first 20 natural numbers, The probability that it is either an even number or a prime number is?
If 22 lines are drawn in a plane such that no two of them are parallel and no three are concurrent, then in how many points do they intersect?
If p is a natural number and p! ends with f trailing zeros, then the number of zeros that (5p)! ends with will be
A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :
(4300731)-! = 2535618. Find value of !?
Without any stoppage, a person travels a certain distance at an average speed of 42 km/h, and with stoppages he covers the same distance at an average speed of 28 km/h. How many minutes per hour does he stop?
Mrs. A. invested $45,000; part at 5%, and part at 8%. The total interest on the investment was $3,150. How much did she invest at each rate?
Certain stocks in January were 40% less than they were in February and 15% greater than they were in March. What was the percentage decrease in the stocks from February to March?
A man took loan from a bank at the rate of 12% p.a. simple interest. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was:
24 oz of juice P and 25 oz of juice V are mixed to make smothies R and Y . The ratio of p to V in smothie R is 4 is to 1 and that in Y is 1is to 5.How many ounces of juice P are contained in the smothie R?
The cost of 4 bags and 12 purses is Rs.820, what is the cost of 10 bags and 30 purses?
If the area of a circle decreases by 66%, then the radius of a circle decreases by
Find the probability that a number selected from numbers 1, 2, 3,..., 35 is a prime number, when each of the given numbers is equally likely to be selected?
Mr. Wayne bungee jumps from the top of a building straight to the ground at a constant speed. 3 seconds after he starts plummeting he passes the 20th floor. 15 seconds after he starts plummeting he passes the 5th floor. Each floor is 4.2 meters high. What is Mr. Wayne's speed in meters per second?
If b<0, which of the following represents a positive number?
What should come in place of the question mark (?) in the following number series? 11 19 29 41 55 ?
A boy was asked to find 7/9 of a number. But he divided the number by 7/9, Thus he got 32 more than the correct answer. Find the number.
A family has two children. find the probability that both the children are girls given that at least one of them is a girl?
Baseball's World Series matches 2 teams against each other in a best-of-seven series. The first team to win four games wins the series and no subsequent games are played. If you have no special information about either of the teams, what is the probability T that the World Series will consist of fewer than 7 games?
Triathlete Dan runs along a 2-mile stretch of river and then swims back along the same route. If Dan runs at a rate of 10 miles per hour and swims at a rate of 8 miles per hour, what is his average rate for the entire trip in miles per minute?
The least number which when divided by 5,6,7 And 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is :
A shopkeeper sold an article offering a discount of 4% and earned a profit of 38%. What would have been the percentage of profit earned if no discount was offered?
Ajay can ride 50km in 1 hour. In how many hours he can ride 500km?
The average of five numbers is 27. If one number is excluded, the average becomes 25. The excluded number is
An oil cylinder was 3/4th full. When two bottles of oil is poured into it, it is 4/5th full. How many bottles of oil can the full cylinder hold?
If C is the temperature in degrees Celsins and F is the temperature in degrees Fahrenheit, then the relationship between temperatures on the two scales is expressed by the equation 9C=5(F-32). The temperature to boil water at sea level altitude and to boil on top of Mt. Everest differed by 15 degrees on the Fahrenheit ...
A certain company has records stored with a record storage firm in 15-inch by 12-inch by 10-inch boxes. The boxes occupy 1.08 million cubic inches of space. If the company pays $0.2 per box per month for the record storage, what is the total amount that the company pays each month for record storage?
You have been given a physical balance and 7 weights of 57, 55, 45, 44, 43, 41 and 85 kgs. Keeping weights on one pan and object on the other, what is the maximum you can weigh less than 199 kgs.
Look at this series: 2, 4, 6, 8, 10, ... What number should come next?
I bought two books; for Rs. 480. I sold one at a gain of 10% and other at a gain of 20% and then I found each book was sold at the same price. Find the cost of the book sold at a lesser gain ?
How many integers between 1 and 10^19 are such that the sum of their digits is 2?
From the third term,each term in the sequence a(1),a(2),a(3),a(4),a(5),a(6) is the sum of the preceding two terms that is a(n)=a(n-1)+a(n-2) for n=3,4,5,6.if a(5)=36 what is the sum of all the six terms?
If Henry were to add 4 gallons of water to a tank that is already 3/4 full of water, the tank would be 7/8 full. How many gallons of water would the tank hold if it were full?
70% of all students in a class commute by public transportation. If 10% of the students aspire to be scientists, which of the following can be the percentage of students who do not commute by public transportation and do not aspire to be scientists? I. 10% II. 25% III. 80%
If a card is randomly drawn from a well shuffled pack of cards, what is the probability of drawing a club, or a red jack, or a red queen?
The average height of 20 students in a class was calculated as 175 cm. It has later found that the height of one of the students in the class was incorrectly written as 151 cm whereas the actual height was 131 cm. What was the actual average height of the students in the class?
A camera lens filter kit containing 5 filters sells for $72.50. If the filters are purchased individually, 2 of them are priced at $12.45 each, 2 at $14.05 each, 1 at $11.50. The amount saved by purchasing the kit is what percent of the total price of the 5 filters purchased individually?
The sum of the ages of 5 children born at the intervals of 3 years each is 50 years. what is the age of the youngest child ?
David has $2,400 at the beginning of his trip, after spending money, he still has exactly $800 less than he spent on the trip. How much money does John still have?
An agent, gets a commission of 5% on the sales of cloth. If on a certain day, he gets Rs. 12.50 as commission, the cloth sold through him on that day is worth
1,-3,2,-4,3,-5.... upto 2000 terms. find the average
How many multiples of 5 are there between 10 and 100, exclusive ?
If a lies in the range (-2,1) then which of the following statements must be true?
Peter read E 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?
If y is divisible by the square of an even prime number and x is the actual square of an even prime number, then what is the units digit of x^y?
A's speed is 20/13 times that of B. If A and B run a race, what part of the length of the race should A give B as a head start, so that B beats A by 80% of the length of the race?