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big_math_dataset

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Kim has 9 pairs of shoes; each pair is a different color. If Kim randomly selects 2 shoes without replacement from the 18 shoes, what is the probability that she will select 2 shoes of the same color?
x and y are positive integers. If y + x is odd, then which of the following must be even?
A car traveling at a certain constant speed takes 15 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 60 kilometers per hour. At what speed, in kilometers per hour, is the car traveling?
A train running at the speed of 60 km/hr crosses a pole in 9 sec. What is the length of the train?
Let Raj be 3 years older than Ravi and Hema be two years younger than Ravi. Raj is three times as old as Rahul who is Hema’s brother. The ratio of the ages of Hema and Her brother is 3:2. Find by how much percentage Raj’s age is more than Hema’s when Raj will be 20 years old.
A is twice as good a work man as B and together they finish the work in 12 days. In how many days A alone can finish the work?
Monica planned her birthday party. She prepared 5 muffins for each of her guests and kept aside two additional muffins in case someone will want extra. After the party, it turned out that one of the guests didn't come but every one of the guests that did come ate six muffins and 2 muffins remained. How many guests did ...
In a certain mathematical activity, we have five cards with five different prime numbers on them. We will distribute these five cards among three envelope: all could go in any envelope, or they could be broken up in any way among the envelopes. Then in each envelop, we find the product of all the cards in that envelope...
In a single throw of a die what is the probability of getting a number greater than 2 ?
34 men can complete a piece of work in 18 days. In how many days will 17 men complete the same work?
A fruits marks his fruit baskets 40% more than the real price and allows 15% discount. His profit is:
Two trains move in the same direction at speeds 50 kmph and 32 kmph respectively. A man in the slower train observes that 15 seconds elapse before the faster train completely passes by him. What is the length of faster train?
If –2 < x < 2 and x ≠ 0, which of the following inequalities must be true? I. x^3 < x II. x^2 < |x| III. x^4 – x^5 > x^3 – x^2
The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 12000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is:
Enrollment in City College in 1980 was 210 percent of enrollment in 1990. What was the percent increase in the college’s enrollment from 1980 to 1990?
Set S is the prime integers between 0 and 30. If three numbers are chosen randomly from set S, what is the probability that the sum of these three numbers is odd?
Divide Rs. 1301 between A and B, so that the amount of A after 7 years is equal to the amount of B after 9 years, the interest being compounded at 4% per annum.
If T < y < -1, which of the following is true?
A, B and C started a business by investing Rs. 1,20,000, Rs. 1,35,000 and ,Rs.1,50,000 respectively. Find the share of each, out of an annual profit of Rs. 56,700.
If a and b are both prime numbers greater than 10, which of the following CANNOT be true? I. ab is an even number. II. The difference between a and b equals 117. III. The sum of a and b is even.
Two trains, one from P to Q and the other from Q to P, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is
It is given that 2^32 + 1 is exactly divisible by a certain number. Which one of the following is also divisible by the same number B?
If two numbers, a and b, are to be chosen from a set of 4 consecutive integers starting with 1 and a set of three consecutive even integers starting with 6, respectively, what is the probability that b/a will not be an integer?
If |x| = 7x - 5, then x = ?
The maximum number of students among them 1048 pens and 828 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is:
An art gallery owner is hanging paintings for a new show. Of the eight paintings she has to choose from, she can only hang two on the main wall of the gallery. Assuming that she hangs as many as possible on that wall, in how many ways can she arrange the paintings?
A watch passes through three hands and each person gains 25%. If the third person sells it for $125, what did the first person pay for it?
The distance between Delhi and Mathura is 140 kms. A starts from Delhi with a speed of 20 kmph at 7 a.m. for Mathura and B starts from Mathura with a speed of 25 kmph at 8 p.m. from Delhi. When will they meet?
A number when multiplied by 3 and then subtracted by 2 becomes the reverse of itself. Can you find out which smallest number is that?
A batsman scored 100 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?
There are 10000 families, having 4 children for each family. In how many families 2 daughters are probable.
If the average marks of three batches of 55, 60 and 45 students respectively is 40, 62, 58, then the average marks of all the students is
How many odd three-digit integers greater than 600 are there such that all their digits are different?
How many seconds will a 500 meter long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Let Y be the smallest positive integer such that 12 and 8 are factors of 20*Y, So the value of Y is:
If the sales tax reduced from 3 1/2 % to 3 1/3%, then what difference does it make to a person who purchases an article with market price of $ 8400 ?
A number, x is chosen at random from the set of positive integers less than 20. What is the probability that (18/x) > x?
If a committee of 3 people is to be selected from among 8 married couples so that the committee does not include two people who are married to each other, how many such committees are possible?
A certain restaurant offers 8 kinds of cheese and 2 kinds of fruit for its dessert platter. If each dessert platter contains an equal number of kinds of cheese and kinds of fruit, how many different dessert platters could the restaurant offer?
Braun invested a certain sum of money at 8% p.a. simple interest for 'n' years. At the end of 'n' years, Braun got back 4 times his original investment. What is the value of n?
A train covers a distance of 12 km in 10 min. If it takes 3 sec to pass a telegraph post, then the length of the train is?
A lady bought five books namely A,B,C,D,E to distribute her 3 child. How many ways she can distribute books?
A man invested Rs. 1552 in a stock at 97 to obtain an income of Rs. 128. The dividend from the stock is:
What is the value of the following expression? (1/ (2^2 – 1)) + (1/ (4^2 – 1)) + (1/ (6^2 – 1)) + .... + (1/ (16^2 – 1))
In final exam of class IX there are 50 students 10 % students failed. How many students passed to class X?
16 men can complete a piece of work in 25 days. In how many days can 20 men complete that piece of work?
Find the principal which yields a simple interest of Rs. 20 and compound interest of Rs. 22 in two years, at the same percent rate per annum?
When positive integer N is divided by positive integer J, the remainder is 25. If N/J = 204.05, what is value of J?
Anu can do a work in 6 days and Binu alone in 9 days. Anu and Binu undertook to do it for Rs.5400. With help of Minu, they completed the work in 3 days. How much is to be paid to Minu and Anu?
If money is invested at r percent interest, compounded annually, the amount of the investment will double in approximately 50/r years. If Luke's parents invested $15,500 in a long term bond that pays 12 percent interest compounded annually, what will be the approximate total amount of the investment 12 years later, whe...
If log72 = m, then log4928 is equal to
The simple interest accrued on an amount of ₹ 84000 at the end of 3 yr is ₹ 30240. What would be the compound interest accrued on the same amount at the same rate in the same period?
Rs.2500 is divided into two parts such that if one part be put out at 5% simple interest and the other at 6%, the yearly annual income may be Rs.140. How much was lent at 5%?
ACME’s manufacturing costs for sets of horseshoes include a $11,450 initial outlay, and $19.75 per set. They can sell the sets for $52.50. If profit is revenue from sales minus manufacturing costs, and the company produces and sells 987 sets of horseshoes, what was their profit?
A person purchased a TV set for Rs. 13000 and a DVD player for Rs. 5000. He sold both the items together for Rs. 21600. What percentage of profit did he make?
a man owns 2/3 of market reserch beauro buzness,and sells 3/4 of his shares for 45000rs,what is the value of buzness?
here's an easy question of averages, but let's try to see innovative ways of solving this. A class has 12 boys and x girls. Average score of boys and girls is 84 and 92 respectively. the average of the whole class is 86, what is the value of x?
In the quadratic equation ax2 - 11x + 40 = 0, if the sum of two roots is 1.1, what is the product of the two roots?
How many different positive integers exist between 106 and 107, the sum of whose digits is equal to 2?
Rashmi walks to her bus stop at 5 kmph and reaches there late by 10 minutes. On the next day,she increases her speed to 6 kmph and reaches the bus stop 10 minutes early.How far is the bus stop ?
Two angles of a triangle have ratio 5:3, and the third angle is the difference of the other two. Find the smallest angle of such a triangle in degrees.
There are two sticks of which the longer one is 10 cm longer than the short stick. Find the length of the shorter stick if the total length of both the sticks is 24 cm?
At a florist shop on a certain day, all corsages sold for either $20 or $30. If 10 of the corsages that sold for $30 had instead sold for $20, then the store's revenue from corsages that day would have been reduced by 20 percent. What was the store's actual revenue from corsages that day?
If a rod is sold for Rs.34.80, there is a loss of 25%. Find out the CP of the rod?
In the city of San Durango, 60 people own cats, dogs, or rabbits. If 30 people owned cats, 40 owned dogs, 18 owned rabbits, and 12 owned exactly two of the three types of pet, how many people owned all three?
Which is greater than 4?
A shopkeeper sold an article offering a discount of 5% and earned a profit of 23.5%. What would have been the percentage of profit earned if no discount was offered?
A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km
Ravi bought 5 pencil and 10 eraser for Rs 4 . Sheetal bought 3 pencil and 9 eraser for Rs 3 then what would be the cost of pencil and eraser.
A coin is tossed live times. What is the probability that there is at the least one tail?
The average of a batsman for 40 innings is 50 runs. His highest score exceeds his lowest score by 172 runs. If these two innings are excluded, his average drops by 2 runs. Find his highest score.
The product of the digits of the four-digit number T is 36. No two digits of are identical. How many different numbers are possible values of T ?
Set A of 8 positive integers may have the same element and have 37. And set B of 8 positive integers must have different elements and have 37. When m and n are the greatest possible differences between 37 and other elements’ sums in set A and set B, respectively, m-n=?
A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current?
A boats man can row in still water at speed of 7 km/hr. It takes 6 hours more to travel the same distance in upstream than in downstream if the speed of the river is 3 km/hr. what is the distance between the two destinations?
If 7^r is a factor of the product of the integers from 1 to 100, inclusive, what is the largest value of r?
How many integers between 100 and 190, inclusive, cannot be evenly divided by 3 nor 5?
If selling price is doubled, the profit triples. Find the profit percent:
Each of 435 bags contains at least one of the following three items: raisins, almonds, and peanuts. The number of bags that contain only raisins is 10 times the number of bags that contain only peanuts. The number of bags that contain only almonds is 20 times the number of bags that contain only raisins and peanuts. Th...
If the price of a certain bond on May 1st was 2/3 the price of the bond on June 1st and the price of the bond on July 1st was 25% greater than the price of the bond on May 1st. then the price of the bond on June 1st st was what percent of the average (arithmetic mean) price of the bond on May 1st and July 1st?
I. x2 + 3x - 18 = 0, II. y2 + y - 30 = 0 to solve both the equations to find the values of x and y?
In a jar there are 15 white balls, 25 red balls, 10 blue balls and 20 green balls. How many balls must be taken out in order to make sure we took out 8 of the same color?
Alice and Heather are 20 miles apart and walk towards each other along the same route. Alice walks at constant rate that is 1 mile per hour faster than heather's constant rate of 5 miles/hour. If Heather starts her journey 24 minutes after Alice, how far from the original destination has Heather walked when the two mee...
Let p be a prime number greater than 2, and let N = 32p. How many odd divisors does N have?
Given two fair dice, what is the probability Z that the sum of their numbers is 4 if exactly one die shows a 3?
If x and y are integers such that |y + 3| ≤ 3 and 2y – 3x + 6 = 0, what is the least possible value W of the product xy?
One-third of 1206 is what percent of 200?
In a clock (Conventional clock with numbers 1 to 12 in order)is cut into 3 pieces such that the sum of each piece in AP with a common difference of 1. What is the count of numbers in each piece? and what are the numbers?
In how many different ways can the letters of the word ‘PREPTY’ be arranged?
Mr. loyd wants to fence his Square shaped land of 150Sqft each side.If a pole is laid every 30ft how many poles do he need?
Find the number of ways in which 8 different beads can be arranged to form a necklace.
Double of Quarter of 1 percent written as a decimal is :
A cubical block of metal weighs 6 pounds. How much will another cube of the same metal weigh if its sides are twice as long?
What will come in place of the x in the following Number series? 11, 14, 19, 22, 27, 30, 35, 38, 43 , 46,51 ,x
John has 10pairs of dark blue socks and 10pairs of black socks. He keeps them all in the same bag. If he picks out 3socks at random, then what is the probability thathe will get a matching pair?
105 candies are distributed to children with the same number of candies for each child. What can’t be the range which includes the number of children?
A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12600 after a year?
A box contains 5 green, 4 yellow and 3 white marbles, 3 marbles are drawn at random. What is the probability that they are not of the same colour?
The product of all the prime numbers less than 12 is closest to which of the following powers of 10 ?
In a class of 20 students, 3 students did not borrow any books from the library, 9 students each borrowed 1 book, 4 students each borrowed 2 books, and the rest borrowed at least 3 books. If the average number of books per student was 2, what is the maximum number of books any single student could have borrowed?