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big_math_dataset

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1/2, 1/4, .... In the sequence above each term after after the first one-half the previous term. If x is the tenth term of the sequence, then x satisfies which of the following inequalities?
If d is a positive integer greater than 1, what is the sum of the multiples of d from d to d^2, inclusive?
At a certain zoo, the ratio of sea lions to penguins is 4 to 11. If there are 84 more penguins than sea lions at the zoo, how many sea lions are there?
Jane makes toy bears. When she works with an assistant, she makes 80 percent more bears per week and works 10 percent fewer hours each week. Having an assistant increases Jane’s output of toy bears per hour by what percent W?
if length of rectangle is increased by 10%, and breadth is decreased by 10%.what will it effect on area of rectangle?
if p/q=3/4 then3p+6q=?
If 9x-3y=12 and 3x-5y=7 then 6x-2y = ?
Anand and Deepak started a business investing Rs. 6,000 and Rs. 8,000 respectively. Out of a total profit of Rs.4,600. Deepak's share is?
The prime sum of an integer n greater than 1 is the sum of all the prime factors of n, including repetitions. For example , the prime sum of 12 is 7, since 12 = 2 x 2 x 3 and 2 +2 + 3 = 7. For which of the following integers is the prime sum greater than 34 ?
A man can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
The factorial expression 13!/2! is not divisible by which of the following integers?
16.02 × 0.0001 = ?
For how many different pairs of positive integers (a, b) can the fraction 2/15 be written as the sum 1/a + 1/b ?
A train 280 m long, running with a speed of 63 km/hr will pass a tree in?
The maximum number of students among them 1340 pens and 1280 pencils can be distributed in such a way that each student get the same number of pens and same number of pencils?
If x + y = 3 and y/x= 2 then y = ?
How many gallons of milk that is 10 percent butter-fat must be added to 8 gallons of milk that is 35 percent butterfat to obtain milk that is 20 percent butterfat?
The positive integer f is divisible by 10. What is the remainder of dividing f(2+4)(1+f) by 5?
A certain number when divided by 39 leaves a remainder 19, what is the remainder when the same number is divided by 13?
At a certain company, each employee has a salary grade s that is at least 1 and at most 7. Each employee receives an hourly wage p, in dollars, determined by the formula p = 9.50 + 0.25(s – 1). An employee with a salary grade of 7 receives how many more dollars per hour than an employee with a salary grade of 1?
The greatest common factor of 16 and the positive integer n is 4, and the greatest common factor of n and 45 is 3. Which of the following could be the greatest common factor of n and 30?
Working alone, sawyer finishes cleaning half the house in a third of the time it takes Nick to clean the entire house alone. sawyer alone cleans the entire house in 6 hours. How many hours will it take Nick and sawyer to clean the entire house if they work together?
A coin is tossed until sequence HTH appears (H denotes the fall of heads, T denotes the fall of tails). What is the probability W that the game will end after the fourth throw?
The area of sector of a circle whose radius is 12 metro and whose angle at the center is 42° is?
A motor starts with the speed of 70 kmph with its speed increasing every two hours by 10 kmph. In how many hours will it cover 345 kms?
0.5, 0.55, 0.65, 0.8, ?
The ratio of ducks and frogs in a pond is 37 : 39 respectively. The average number of ducks and frogs in the pond is 150. What is the number of frogs in the pond ?
If each digit in the set of A = (6,7,8,9) is exactly used once, in how many ways can the digits be arranged such that the 6 and 7 are not adjacent?
The sale price of an article including the sales tax is Rs. 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 13%, then the cost price of the article is:
The largest 4 digit number exactly divisible by 88 is:
A 80 cm long wire is to be cut into two pieces so that one piece will be 3/5th of the other, how many centimeters will the shorter piece be?
What is the are of an equilateral triangle of side 16 cm?
A batsman scored 150 runs which included 3 boundaries and 8 sixes. What % of his total score did he make by running between the wickets
A man sells 12 candies for rs12 and loses rs 2.40. if he sells 12 candies for rs 16. how much does he gain or loss?
A mixture of 150 liters of wine and water contains 10% water. How much more water should be added so that water becomes 25% of the new mixture?
A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected, if it should have 5 seniors and 5 juniors?
A began a business with Rs. 85,000. He was joined afterwards by B with Rs. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?
A perfect square is defined as the square of an integer and a perfect cube is defined as the cube of an integer. How many positive integers n are there such that n is less than 30,000 and at the same time n is a perfect square and a perfect cube?
The bankers discount and the true discount of a sum at 10% per annum simple interest for the same time are Rs.180 and Rs.120 respectively. What is the sum and the time?
The HCF and LCM of two numbers m and n are respectively 6 and 210. If m + n = 80, then 1/m + 1/n is equal to
If f(x) = 2x − √x and g(x) = x^2, what is f(g(3))?
A car driver travels from the plains to the hill station, which are 200 km apart at an average speed of 45km/hr. in return trip, he covers the same distance at an average speed of 20km/hr. the average speed of the car over the entire distance of 400 km is
4539,1513,378.25,75.65,12.60 ?
If 2A = 3B = 4C, find A : B : C
A salt manufacturing company produced a total of 5000 tonnes of salt in January of a particular year. Starting from February its production increased by 100 tonnes every month over the previous months until the end of the year. Find its average monthly production for that year?
A square has a side 5 centimeters shorter than the side of a second square. The area of the larger square is four times the area of the smaller square. Find the side of each square
. A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent?
The simple interest on a sum of money will be Rs.1000 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year?
In a 80 meters race A beats B by 56 m or 7 seconds. A's time over the course is:
A man invests Rs.5000 for 3 years at 5% p.a. compound interest reckoned yearly. Income tax at the rate of 20% on the interest earned is deducted at the end of each year. Find the amount at the end of the third year A). B) C) D)
A boat can move upstream at 25 kmph and downstream at 35 kmph, then the speed of the current is?
A shopkeeper sells 500 metres of cloth for Rs. 18000 at a loss of Rs.5 per metre. Find his cost price for one metre of cloth?
An empty pool being filled with water at a constant rate takes 6hours to fill to 3/5 of its capacity.how much more time will it take to finish filling the pool?
How many meters are there in 660 centimeters?
Consider a Number 3.1n2 n represent the hundredths digit in the number shown above. If the number is rounded to the nearest hundredth, which of the following could be the tenths digit in the rounded number?
If x and y are integers and x=50y + 39, which of the following must be odd?
In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is of the number of students of 8 years of age which is 48. What is the total number of students in the school?
In the Bombay Stock Exchange there are 45% female employees and thus the number of male employees is exceeded by 72. Hence the total no. of employees in the BSE is:
Find the simple interest on the Rs. 2000 at 25/4% per annum for the period from 4th Feb 2005 to 18th April 2005
A man is 18 years older than his son. In eight years, his age will be twice the age of his son. The present age of this son is
Calculate 73196 ÷ ? = 631
The angles of a triangle are in the ratio 2: 6 : 4. Find the measurement of the 3 angles of triangle.
If it is 6:27 in the evening on a certain day, what time in the morning was it exactly 2,880,715 minutes earlier? (Assume standard time in one location.)
The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 500 resolutions?
Machines X and Y produce bottles at their respective constant rates. Machine X produces k bottles in 6 hours and machine Y produces k bottles in 3 hours. How many hours does it take machines X and Y , working simultaneously , to produce 12k bottles?
In Town X, 64 percent of the population are employed, and 44 percent of the population are employed males. What percent of the employed people in Town X are females?
If R is a negative integer and K is a positive integer, which of the following could be the standard deviation of a set {-7, -5, -3, R, 0, 1, 3, K, 7}? I. -1.5 II. -2 III. 0
An investment of $100 was made in a certain account and earned interest that was compounded annually. The annual interest rate was fixed for the duration of the investment, and after 12 years the $100 increased to $400 by earning interest. In how many years after the initial investment was made the $1000 have increased...
A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 650 m long?
Two Nascar stock cars take off from the starting line at the exact same time, heading in opposite directions. The Budweiser Car travels at 145 miles per hour, while the Stella Artois car travels at 150 miles per hour. At this rate, and ignoring other variable, how long will the cars have to drive in order to be 500 mil...
How many 3-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHM', if repetition of letters is not allowed?
10, 14, 26, 42, 70, ?
A person buys an article at Rs.500. At what price should he sell the article so as to make a profit of 60%?
A trader cheats both his supplier and customer by using faulty weights. When he buys from the supplier, he takes 10% more than the indicated weight. When he sells to his customer, he gives the customer a weight such that 30% of that is added to the weight, the weight claimed by the trader is obtained. If he charges the...
Fox jeans regularly sell for $10 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...
The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?
John must arrange 3 different physics books and 4 different mathematics books on one shelf. If the first book on the leftmost side is a mathematics book and no physics book is next to another physics book. How many different arrangements exist?
A bag contains 50 P, 25 P and 10 P coins in the ratio 5: 9: 4, amounting to Rs. 206. Find the number of coins of each type respectively.
If (A-B-C+D = 18) and (A+B-C-D = 4), what is the value of (B-D)^2?
A vendor sells 60 percent of the apples he had and throws away 40 percent of the remainder. The next day, the vendor sells 50 percent of the remaining apples and throws away the rest. In total, what percent of his apples does the vendor throw away?
A bookshop had science and art books in the ratio of 2:5. By the end of the week, 20% of both type of books were sold and 2240 books were unsold. How many science books were there at the starting?
A perfect cube is an integer whose cube root is an integer. For example, 27, 64 and 125 are perfect cubes. If p and q are perfect cubes, which of the following will not necessarily be a perfect cube?
find value for x from given equation? x + 1 = -3
If n is a positive integer, which of the following is a possible value of |71 - 5n| ?
SI on a certain sum of money for 3 yrs at 8 percent /annum is 1/2 the CI on Rs.4000 for 2 yrs at 10 percent/ annum. The sum placed on SI is?
The sum of two numbers is 40 and their product is 300. What will be the sum of their reciprocals?
The length of a rectangle is four times its width. If the area is 100 m2 what is the length of the rectangle?
There are 15 boys and 10 girls in a class. If three students are selected at random, in how many ways that 1 girl or 2 boys are selected ?
A shopkeeper sells 20% of his stock at 10% profit ans sells the remaining at a loss of 5%. He incurred an overall loss of Rs. 400. Find the total worth of the stock?
In a plastic company, 14 men working 8 hrs per day complete a piece of work in 12 days. To complete the same work in 6 days, working 14 hours a day, the number of men required is :
Five friends, Peter, Eric, Melyssa, Tony, and Carl, are pooling their money to buy a $1300 item. Peter has twice as much money as Melyssa. Tony has $60 more than Peter. Carl has 20% more than Tony and Eric has twice as much as Peter. If they put all their money together and spend the $1300, they will have $38 left. How...
Tickets for all but 100 seats in a 10,000-seat stadium were sold. Of the tickets sold, 30% were sold at half price and the remaining tickets were sold at the full price of $2. What was the total revenue from ticket sales?
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 person distributed 20% of his income to his 3 children each. He deposited 25% of his income to his wife's account. He donated 5% of remaining amount to an orphan house.Finally he has $40000. Find his total income?
A part of certain sum of money is invested at 9% per annum and the rest at 12% per annum, if the interest earned in each case for the same period is equal, then ratio of the sums invested is?
In what time will a railway train 50 m long moving at the rate of 36 kmph pass a telegraph post on its way?
With what number must 3.475817 be multiplied in order to obtain the number 34.75817?
The average of 11 results is 44, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
In a school 50% of the students are younger than 10, 1/20 are 10 years old and 1/10 are older than 10 but younger than 12, the remaining 70 students are 12 years or older. How many students are 10 years old?
Pointing to an old man, Kailash said, "His son is my son's uncle." How is the old man related to Kailash ?