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big_math_dataset

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On a trip covering 850 km, a bicyclist travels the first 400 km at 20 km per hour and the remainder of the distance at 15 km per hour. What is the average speed, in km per hour, for the entire trip?
The average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?
A ladder 25m long reaches a window of building 20m above the ground. Then the distance of the foot of the ladder from the building is?
Roja and Pooja start moving in the opposite directions from a pole. They are moving at the speeds of 2 km/hr and 3 km/hr respectively. After 4 hours what will be the distance between them?
A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 588, what was his profit?
A rainstorm increased the amount of water stored in State J reservoirs from 180 billion gallons to 200 billion gallons. If the storm increased the amount of water in the reservoirs to 60 percent of total capacity, approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm?
A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 29.16, the number of the member is the group is:
If 15% of 30% of 50% of a number is 90, then what is the number?
There are three places P, Q and R such that 3 roads connects P and Q and 4 roads connects Q and R. In how many ways can one travel from P to R?
The average (arithmetic mean) of four different positive integers is 4. If the first of these integers in 3 times the second integer and the second integer is 6 less than the third integer, what is the least possible value of the fourth integer?
A school currently maintains a fixed number of students per class. If the ratio of students per class were to be increased by 1, 10 fewer classes would be run for a total of 120 students. What is the current ratio of students per class?
6^5 + 6^5 + 6^5 + 6^5 =
On the first day of her vacation, Louisa traveled 240 miles. On the second day, traveling at the same average speed, she traveled 420 miles. If the 240-mile trip took 3 hours less than the 420-mile trip, what was the average speed, in miles per hour?
One hour after Adrienne started walking the 60 miles from X to Y, John started walking from X to Y as well. Adrienne walks 3 miles per hour and John walks 1 mile per hour faster than Adrienne. How far from X will John be when he catches up to Adrienne?
5358 x 55 = ?
A student gets 50% in one subject, 60% in the other. To get an overall of 60% how much should get in third subject.
Dhoni has x dollars more than Rahul has, and together they have a total of y dollars. Which of the following represents the number of dollars that Rahul has?
If the 9th day of a month is two days earlier than Monday, What day will it be on the nineteenth day of the month?
x, y, and z are three positive integers whose average is 10. If x≤y≤z and z-x=3, which of the following could be the median T of x, y, and z? I. 9 II. 10 III. 11
If s and t are positive integers such that s/t = 64.24, which of the following could be the remainder when s is divided by t?
A tank has both an inlet pipe and an outlet pipe. Working alone, the inlet pipe can fill up the tank in 4 hours. Working alone, the outlet pipe can empty out the tank in 8 hours. If it is desired that the tank should be filled, from empty, exactly 6 hours after the inlet pipe is turned on at 9:30am, then at what time should the outlet pipe be opened ?
Set A: 3, q, 8, 10 Set B: 4, y, 9, 11 The terms of each set above are given in ascending order. If the median of Set A is equal to the median of Set B, what is the value of y – q?
Two trains of equal length, running with the speeds of 60 and 40 kmph, take 36 seconds to cross each other while they are running in the same direction. What time will they take to cross each other if they are running in opposite directions?
$500 will become $1000 in 5 years find the rate of interest?
The average of 11 numbers is 10.9. If the average of first six is 10.5 and that of the last six is 11.4 the sixth number is?
9 men went to a restaurant for taking their snacks. Eight of them spent Rs.15 each on their snacks and the ninth spent Rs.8 more than the average expenditure of all the nine. What was the total money spent by them.
The sum of present age of Abe and the age before 7 years is 27. Find the present age of Abe. What will be his age after 7 years?
If 42.18 = k(14 + m/50), where k and m are positive integers and m < 50, then what is the value of k + m ?
A certain number of horses and an equal number of men are going somewhere. Half of the owners are on their horses' back while the remaining ones are walking along leading their horses. If the number of legs walking on the ground is 90, how many horses are there ?
How many 5 digit number can be formed out of digits 0,2,4,6,8 that is divisible by 8.
The length, breadth and height of a room are in the ratio 9 : 4 : 2. If the breadth and height are halved while the length is doubled, then the total area of the four walls of the room will
A chair is bought for Rs.500/- and sold at a loss of 10% find its selling price
A person purchased a TV set for Rs. 13000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 31150. What percentage of profit did he make?
A cistern of capacity 40 litres has an inlet and an outlet pipe. When both the pipes are opened at once, it takes 8 minutes to fill the cistern. However, if the outflow rate is increased 1.5 times, the cistern never gets filled. Which of the following can be the outflow rate?
Of the 24 participants in a certain competition, half are male, and half of the males are younger than 18 years of age. If half of the female competitors are also younger than 18 years of age, into how many distinct groups of 4 competitors could the participants be divided if each group must contain two males under 18 years of age and 2 females over 18 years of age?
The speed of a boat in still water is 30kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
In how many different F ways can 4 ladies and 4 gentlemen be seated at a round table so that all ladies sit together?
16384, 8192, 2048, 256, 16, ?
George went to a fruit market with certain amount of money. With this money he can buy either 50 oranges or 40 mangoes. He retains 5% of the money for taxi fare and buys 25 mangoes. How many oranges can he buy?
A manufacturer sells a pair of glasses to a wholesale dealer at a profit of 18%. The wholesaler sells the same to retailer at a profit of 20%. The retailer in turn sells them to a customer for Rs. 30.09, there by earning a profit of 25%. The cost price for the manufacturer is?
A, B, C enter into a partnership investing Rs. 35,000, Rs. 45,000 and Rs. 55,000 respectively. The respective shares of A, B, C in annual profit of Rs. 40,500 are?
If by selling an article for Rs.60, a person loses 1/7 of money, what would he have gained or lost % by selling it for Rs.77?
In a class, if 50% of the boys were girls, then there would be 50% more girls than boys. What percentage of the overall class is girls?
The ratio of two quantities is 2 to 5. If each of the quantities is increased by 8, what is the ratio of these two new quantities?
A garrison of 400 men had a provision for 31 days. After 28 days 280 persons re-enforcement leave the garrison. Find the number of days for which the remaining ration will be sufficient?
Tanks X and Y contain 500 and 200 gallons of water respectively. If water is being pumped out of tank X at a rate of K gallons per minute and water is being added to tank Y at a rate of M gallons per minute, how many hours will elapse before the two tanks contain equal amounts of water?
In how many different number of ways 4 boys and 3 girls can sit on a bench such that girls always sit together?
The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on atleast one ticket is?
2x + y = 13 |y| <= 13 For how many ordered pairs (x , y) that are solutions of the system above are x and y both integers?
Find the cost of fencing around a circular field of diameter 12 m at the rate of Rs.3.50 a meter?
A palindrome is a number that reads the same forward and backward, such as 242. How many even nine-digit numbers are palindromes?
The population of a bacteria colony doubles every day. If it was started 6 days ago with 2 bacteria and each bacteria lives for 12 days, how large is the colony today?
The least number of complete years in which a sum of money put out at 20% C.I. will be more than doubled is?
A 270 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train?
What is the total number of integers between 20 and 100 that are divisible by 9?
In shop there are 10 bulbs, a total of 4 are defective. If a customer buys 4 bulbs selected at random from the box, what is the probability that neither bulbs will be defective?
A salesman's income consists of a commission and a base salary of $350 per week. Over the past 5 weeks, his weekly income totals have been $556, $413, $420, $436 and $395. What must his average (arithmetic mean) commission be per week over the next two weeks so that his average weekly income is $500 over the 7-week period?
The population of a town is 216400. If it increase at the rate of 4% per annum. What will be its population for 3years hence?
If u and v are positive integers, and 3 is not a factor of v, then v may be which of the following?
In how many different ways can 2 identical blue balls and 2 identical red balls be shared among 4 children such that each child receives a ball?
If x^2 + y^2 = 20 and xy = 3, then (x − y)^2 =
If k, l, and m are distinct positive prime numbers, then (k^3)(l)(m) has how many different positive factors greater than 1?
A man can row a boat at 18 kmph in still water. If the speed of the stream is 12 kmph, what is the time taken to row a distance of 90 km downstream?
Ayisha's age is 1/6th of her father's age. Ayisha's father's age will be twice Shankar's age after 10 years. If Shankar's eight birthdays was celebrated two years before, then what is Ayisha's present age.
3 years ago, the average age of P and Q was 20years. With R joining them, theiraverage age becomes 23years. What is the age of R?
For all integers x>1. <x>=2x+(2x-1)+(2x-2)+......2+1. What is the value of <2>*<3>?
Tea worth Rs.126 per kg are mixed with a third variety in the ratio 1: 1 : 2. If the mixture is worth Rs.173 per kg, the price of the third variety per kg will be
A man rows his boat 78 km downstream and 56 km upstream, taking 4 hours each time. Find the speed of the stream?
A person can row at 10 kmph in still water. If the velocity of the current is 2 kmph and it takes him 10 hour to row to a place and come back, how far is the place?
If f(x) = k(x - k) and k is a constant, what is the value of f(6) - f(2), in terms of k?
Insert the missing number. 2, 6, 12, 20, 30, 42, 56, (....)
If each day a tree loses half its remaining leaves, what fraction of its leaves will it have lost after 5 days ?
In the junior basketball league there are 15 teams, 2/3 of them are bad and ½ are rich. What can't be the number of teams that are rich and bad?
How much tea worth $0.93 per pound must be mixed with tea worth $0.75 per pound to produce 10 pounds worth $0.85 per pound?
Four of the five parts numbered (a), (b), (c), (d) and (e) in the following equation are exactly equal. You have to find out the part that is not equal to the other four. The number of that part is the answer.
The angles of a triangle are in the ratio 4:6:8. Find the measurement of the largest of three angles of triangle.
In store B there are 10 pairs of pants for every 40 store A has. The price ratio between the pants in store A and the pants in store B is 3:4. If all the pants were sold in both places until the stock ran out, what is the ratio between the total amount stores B earned to the total amount store A earned?
Find the expenditure on digging a well 14m deep and of 3m diameter at Rs.19 per cubic meter?
Man bought 20 shares of Rs. 50 at 5 discount, the rate of dividend being 11 1/2. The rate of interest obtained is:
An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq m?
Series F(n) is such that i*F(i) = j*F(j) for any pair of positive integers (i, j). If F(1) is a positive integer, which of the following is possible? I. 2*F(100) = F(99) + F(98) II. F(1) is the only integer in the series III. The series does not contain negative numbers
For all numbers l and m, the operation @ is defined by l@m = l^2 - lm. If xy ≠ 0, then which of the following can be equal to zero? I. x@y II. (xy)@y III. x@(x + y)
An investment with the Brown company yields 10% compounded annually over 2 years, while an investment with Green Crop. yields 20% annually over the same period. If Fernando invests a given amount in Green Corp, by what percent should Rita's initial investment exceed Fernando's, if she wants to invest in Brown but match the final value of his investment?
A crew can row a certain course up the stream in 84 minutes; they can row the same course down stream in 12 minutes less than they can row it in still water. How long would they take to row down with the stream
Ramu rides his bike at an average speed of 45 km/hr and reaches his desitination in four hours. Somu covers the same distance in six hours. If Ramu covered his journey at an average speed which was 9 km/hr less and Somu covered his journey at an average speed which was 10 km/hr more, then the difference in their times taken to reach the destination would be (in minutes).
If 8 spiders make 4 webs in 9 days, then how many days are needed for 1 spider to make 1 web?
Eight participants are participating in a competition. In how many ways can the first three prizes be won?
The length and breadth of a rectangle is increased by 10% and 25% respectively. What is the increase in the area?
An bus covers a certain distance at a speed of 220 kmph in 5 hours. To cover the samedistance in 1hr, it must travel at a speed of?
A person travelled from his house to office at 30km/hr and office to house at 10km/hr. Then find the average speed?
Which of the following is not a leap year ?
The average age of a class of 39 students is 15 years. If the age of the teacher be included, then the average increases by3 months. Find the age of the teacher.
Bob wants to run a mile in the same time as his sister. If Bob’s time for a mile is currently 10 minutes 40 seconds and his sister’s time is currently 5 minutes 20 seconds, by what percent does Bob need to improve his time in order run a mile in the same time as his sister?
In a 1 km race, A beats B by 28 meters in 7sec. Find A's time over the course?
If Rs.480 amount to Rs.540 in 4 years, what will it amount to in 6 years at the same rate % per annum?
42 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work ?
If 25% of x is 15 less than 15% of 1500, then x is?
A can complete a work in 12days and B can do the same work in 8days. If A after doing 2days, leaves the work, find in how many days B will do the remaining work?
Mangala completes a piece of work in 15 days, Raju completes the same work in 30 days. If both of them work together, then the number of days required to complete the work is?
If the simple interest on a sum of money at fifteen percent per annum for four years is Rs.9000, compound interest on the same sum for the same period at the same rate of interest is