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big_math_dataset

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A started a business with an investment of Rs. 70000 and after 6 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 52000, then the share of B is?
Of the 5 numbers, whose average is 75, the first is one-fourth of the sum of the last 4. The first number is?
The students of a particular class were given two tests for evaluation. Twenty Five percent of the class cleared both the tests and forty five percent of the students were able to clear the first test. You have to calculate the percentage of those students who passed the first test and were also able to pass the second...
Let a, b, c, d be four integers such that a + b + c + d = 4m + 1 where m is a positive integer. Given m, which one of the following is necessarily true?
For any positive integer n, the sum of the first n positive integers equals n(n+1)/2. What is the sum of odd all the integers between 1 and 50?
Find the area of a cuboid of length 8cm , breadth 6 cm . and height 9cm.
If 10a = 6b = 20, then 120ab =
Positive integer x has n factors; 3x has 3 factors; Which of the following values can n take? I. 1 II. 2 III. 3
In how many different ways can the letters of the word 'LEADING' be arranged such that the vowels should always come together?
If P(A) = 2/15, P(B) = 7/15, and P(A ∪ B) = 16/15 Find P(A|B)
Two different solutions of alcohol with respective proportions of alcohol to water of 3:1 and 2:3 were combined. What is the concentration of alcohol in the new solution if the first solution was 6 times the amount of the second solution?
A train covers a distance of 12 km in 16 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?
A machine puts c caps on bottles in m minutes. How many E hours will it take to put caps on b bottles?
What least number should be added to 1056, so that the sum is completely divisible by 23? A. B. 3 C. 2 D. 1
What is the ratio between the volumes of a cylinder and cone of the same height and of the same diameter
What is the probability of getting a King and a Queen in a single draw of two cards from a pack of well-shuffled cards?
If a boy lost 4% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44%?
On four consecutive flips of a coin, what is the probability that all four produce the same result?
What is the greatest positive integer x such that 4^x is a factor of 64^10?
The average of 6 no.'s is 6.40. The average of 2 of them is 6.2, while the average of the other 2 is 6.1. What is the average of the remaining 2 no's?
3889 + 12.952 - ? = 3854.002
A motorcyclist goes from Bombay to Pune, a distance of 192 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?
The average monthly income of A and B is Rs. 5050. The average monthly income of B and C is Rs. 6250 and the average monthly income of A and C is Rs. 5200. What is the monthly income of A?
If W is the set of all the integers between 10 and 332, inclusive, that are either multiples of 3 or multiples of 2 or multiples of both, then W contains how many numbers?
For any positive integer N, the sum of the first N positive integers equals N(N+1)/2 . If M and N are positive integers and M > N, what is the sum of all the integers between M and N, inclusive?
A women purchased 3 towels @ Rs.100 each, 5 towels @ Rs.150 each and two towels at a certain rate which is now slipped off from his memory. But she remembers that the average price of the towels was Rs.155. Find the unknown rate of two towels?
A and B enter into partnership with capital as 7:9. At the end of 8 months, A withdraws. If they receive the profits in the ratio of 8:9 find how long B's capital was used?
Which of the following describes all values of x for which 1–x^2 = 0?
5005 - 5000 ÷ 10.00 = ?
The ratio of the radius of two circles is 1: 3, and then the ratio of their areas is?
What is the greater of the two numbers whose product is 1280, given that the sum of the two numbers exceeds their difference by 32?
Find the fraction which has the same ratio to 2/3 that 3/5 has to 6/7
An amount of Rs. 3000 becomes Rs. 3600 in four years at simple interest. If the rate of interest was 1% more, then what was be the total amount?
If a quarter Kg of potato costs 60 paise, How many paise will 200 gm cost?
In the set of positive integers from 1 to 80, what is the sum of all the odd multiples of 5?
The difference between the two numbers is 1/3 of the larger number. If the smaller one is 48 the larger one is
Jerry and john play a card game. In the beginning of the game they have an equal number of cards. Each player, at her turn, gives the other a third of her cards. john plays first, giving Jerry a third of her cards. Jerry plays next, and john follows. Then the game ends. jerry ended up with 14 more cards than Michelle. ...
The ratio of two numbers is 5 to 1. The sum is 18. What are the two numbers?
A drawer holds 5 red hats and 5 blue hats. What is the probability of getting exactly three red hats or exactly three blue hats when taking out 5 hats randomly out of the drawer and returning each hat before taking out the next one?
From group of 15 cricket players a team of 11 players is to be chosen. How many ways this can be done?
How many 3/4 foot pieces of cable can be cut out of a piece that is 30 feet long?
The ratio of the area of a square mirror to its frame is 16 to 33. If the frame has a uniform width (s) around the mirror, which of the following could be the value, in inches, of s ? I. 2 II. 3 1/2 III. 5
The diagonals of a rhombus are 22 cm and 30 cm. Find its area?
Two women can do a work in 4 days. Six men can complete the same work in 3 days. What is the ratio between the capacity of a man and a woman?
85% of a number is added to 24, the result is the same number. Find the number?
Kamal obtained 96, 65, 82, 67 and 85 marks(out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?
The sum of two numbers is 25 and their difference is 13. Find their product.
For each of her sales, a saleswoman receives a commission equal to 20 percent of the first $500 of the total amount of the sale, plus 35 percent of the total amount in excess of $500. If the total amount of one of her sales was $800, the saleswoman’s commission was approximately what percent of the total amount of the ...
A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 50 years now, the son's age five years back was?
1, 8, 27, 64, 125, 216, (....)
A shipment of 1500 heads of cabbage, each of which was approximately the same size was purchased for $600.The day the shipment arrived 2/3 of the heads were sold, each at 25% above the cost per head.The following day the rest were sold at a price per head equal to 12% less than the price each head sold for the day befo...
A train running at the speed of 60 km/hr crosses a pole in 15 sec. What is the length of the train?
An escalator moves towards the top level at the rate of 10 ft.sec and its length is 112 feet. If a person walks on the moving escalator at the rate of 4 feet per second towards the top level, how much time does he take to cover the entire length.
If FRIEND is coded as HUMJTK, how is CANDLE written in that code ?
The average of 10 numbers is calculated as 16. It is discovered later on that while calculating the average, the number 35 was incorrectly read as 25, and this incorrect number was used in the calculation. What is the correct average?
After 10% of the inhabitants of a village disappeared, a panic set in during which 25% of the remaining inhabitants left the village. At that time, the population was reduced to 5265. What was the number of original inhabitants?
A BAG CONTAINS 6 WHITE AND 4 BLACK BALLS .2 BALLS ARE DRAWN AT RANDOM. FIND THE PROBABILITY THAT THEY ARE OF SAME COLOUR.
A certain company had a total annual expenditure of 1.47∗10^7 on employee salaries last year. If the company employed 420 people, what was the average employee salary?
which number need to add to 859622 to get a number exactly divisible by 456?
A rectangular with dimensions 16 inches by 20 inches is to be divided into squares of equal size. Which of the following could be a length of a side of the squares?
A woman invested $1,000, part at 5% and the rest at 6%. Her total investment with interest at the end of the year was $1,054. How much did she invest at 5%?
CX, EV, GT, IR, ?
The figure shown can be folded into the shape of a cube. In the resulting cube, which of the lettered faces is opposite the face marked x?
A cylinder and a cone have the same height and same radius of base. The ratio between the volumes of the cylinder and the cone is:
A 10-by-5 inch piece of paper is used to form the lateral surface of a cylinder. If the entire piece of paper is used to make the lateral surface, which of the following must be true of the two possible cylinders that can be formed?
A BUS is running at a speed of 40 km/hr and it crosses a post in 18 seconds. What is the length of the BUS ?
The average age of the mother and her six children is 8 years which is reduced by 5 years if the age of the mother is excluded. How old is the mother?
If a and b are positive real numbers, and a^3 + b^3 = 25, then the greatest possible value of a is between:
The “length of integer x” refers to the number of prime factors, not necessarily distinct, that x has. (If x = 60, the length of x would be 4 because 60 = 2 × 2 × 3 × 5.) What is the greatest possible length of integer z if z < 1,080?
How many distinct integer values of n satisfy the inequality||n-3| + 2| ≤ 12?
How is 2% expressed as a decimal fraction?
There are 1200 jelly beans divided between two jars, Jar X and Jar Y. If there are 400 fewer jelly beans in jar X than three times the number of beans in jar Y, how many beans are in jar X?
f n = 3^4 - 2^4, which of the following is NOT a factor of n?
The banker's discount on a bill due 4 months hence at 15% is $6.20. The true discount is:
Find the area of the quadrilateral of one of its diagonals is 10 cm and its off sets 7 cm and 3 cm?
If ab > 0, which of the following must be negative?
Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800, Deepak's share is :
Some persons can do a piece of work in 12 days. Two times the number of these people will do half of that work in?
Find the value of x: 2x² + 9x − 5.
Ram's age and Shyam's age are in the ratio 3:4. Seven years ago the ratio of their ages was 2:3. Find the ratio of their ages five years hence?
A salesman`s commission is 5% on all sales upto Rs.10,000 and 4% on all sales exceeding this.He remits Rs.31,100 to his parent company after deducing his commission . Find the total sales.
What is the remainder when 263251 is divided by 9?
A set of numbers has the property that for any number x in the set, x+4 is also in the set. If -4 is in the set, which of the following must also be in the set 1. 0 2. -8 3. 8
A began business with Rs.45000 and was joined afterwards by B with Rs.5400. When did B join if the profits at the end of the year were divided in the ratio of 2:1?
If 40% of a number is greater than 80% of 5 by 2, what is the number?
If a coin is flipped, the probability that the coin will land tails is 1/2. If the coin is flipped 5 times, what is the probability that it will land tails up on the first 2 flips and not on the last 3 flips?
If a is a positive integer then 4^(2a) + (64^a)/(2^(2a)) =
There are 5 locks and 5 keys and each of the 5 keys matches each of the 5 locks. What is the minimum and the maximum trial numbers of attempts needed to confirm that each of the 5 keys matches each of the 5 locks?
A and B starts a business with Rs.8000 each, and after 4 months, B withdraws half of his capital . How should they share the profits at the end of the 19 months?
In the set of positive integers from 1 to 60, what is the sum of all the odd multiples of 5?
Two bus tickets from city A to B and three tickets from city A to C cost Rs. 154 but three tickets from city A to B and two tickets from city A to C cost Rs. 146. What are the fares for cities B and C from A ?
If the difference between the length and breadth of a rectangle is 23 m and its perimeter is 206 m, what is its area?
If Yury has been writing programming code for 11 hours at a rate of 5 lines of code per 20 seconds, how many lines of code has he written?
The sum of five numbers is 750. The average of the first two numbers is 75 and the third number is 130. Find the average of the two numbers?
The number of sequences in which 7 players can throw a ball, so that the youngest player may not be the last is?
If Jake loses 8 pounds, he will weigh twice as much as his sister Kendra. Together they now weigh 287 pounds. What is Jake’s present weight, in pounds?
A number x is mistakenly divided by 10 instead of being multiplied by 10. what is the percentage error in the result?
A man buys an item at Rs. 1200 and sells it at the loss of 20 percent. Then what is the selling price of that item
10 books are placed at random in a shelf. The probability that a pair of books will always be together is?
An automobile parts supplier charges $25 per package of gaskets. When a customer orders more than 10 packages of gaskets, the supplier charges 4/5 the price for each package in excess of 10. During a certain week, the supplier sold 60 packages of gaskets. If 25 percent of the gaskets went to Company X, 15 percent to Co...