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big_math_dataset

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In March, Kurt ran an average of 1.2 miles an hour. If by June he had increased his pace by 10 seconds per mile, then which of the following expresses the number of hours it would take Kurt to complete one mile in June?
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 42 years now, the son's age 4 years back was:
In how many ways can the letters of the word ABACUS be rearranged such that the vowels always appear together?
A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m3) is:
Which one of the following numbers is exactly divisible by 12?
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?
A certain characteristic in a large population has a distribution that is symmetric about the mean m. 72 percent of the distribution lies within one standard deviation d of the mean. If the shelf’s average life is 7.6 years and the standard deviation is 2.6 years, what percent of the distribution has more than 10.2 years as a shelf’s average life?
Two cards are drawn at random from a pack of 52 cards.what is the probability that either both are black or both are queen?
A man swims downstream 36 km and upstream 48 km taking 6 hours each time, what is the speed of the man in still water?
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 33 ?
Curious Elva asked her father what he would gift for her nineteenth birthday. Father replied that it would depend on the day of the week and be one of SUNglasses, MONeybag, ..., FRIedcake, and SATchel. Please help Elva find the day of the week on 08-Jan-2029
If the mean of weight of students in a class of weight 38, 50, 70, 88 and 110 is 71.5 kg, what is the mean of the class if student of weight 50 kg left the class i.e state whether what will happen to original mean value ?
The minute hand of a clock overtakes the hour hand at intervals of 65 minutes of the correct time. How much a day does the clock gain or lose?
In how much time will a train of length 120 m, moving at 36 kmph cross an electric pole?
The population of Mangalore was 1283575 on Jan 1st 2011 and the growth rate of the population was 10% in the last year and 5% in the year prior to it,the only exception being 2009 because of huge exodus there was a decline of 20% in the population. What was the population in Jan 1 2005?
In a circuit board factory, all circuit boards that pass a verification process are certified. Every board that fails the verification process is indeed faulty, but 1/8 of those that pass are also faulty. Approximately how many faulty circuit boards exist in a group of 800 circuit boards where 64 fail inspection?
What will come in place of the x in the following Number series? 4, 10, 22, 46, 94, x
33 1/3% of 36 ?
A man covers a distance of 180 Km at 72 Kmph and next 190km at 88 Kmph. what is his average speed For his whole journey of 370 Km?
A pump can fill a tank with water in 6 hours. Because of a leak, it took 12 hours to fill the tank. The leak can drain all the water in ?
if a bullet fired out of a gun weighs M, takes T time to leave the barrel where it has been accelerated to V, how much recoil force will the firearm (of weight X) exert against the user? (negate effect of muzzle blast) Describe your answer as an equation for F=
In the Mountainside summer camp there are 50 children. 90% of the children are boys and the rest are girls. The camp administrator decided to make the number of girls only 5% of the total number of children in the camp. How many more boys must she bring to make that happen?
City A to city B, Raja drove for 1 hour at 72 mph and for 3 hours at 80 mph. What was the average speed for the whole trip?
In a local school district, the high school and middle school each received r dollars toward funding for the student arts program. The high school enrolled 100 students and the middle school enrolled 50 students. Later, the middle school transferred s dollars to the high school so that they would have received the same funding per student. Which of the following is equivalent to s?
A computer system uses alphanumeric case sensitive characters for its passwords. When the system was created it required users to create passwords having 4 characters in length. This year, it added the option of creating passwords having 3 characters in length. Which of the following gives the expression for the total number of passwords the new computer system can accept? Assume there are 62 unique alphanumeric case sensitive characters.
If x is to be chosen at random from the set {1, 2, 3, 4} and y is to be chosen at random from the set {5, 6}, what is the probability that xy will be even?
A car covers a distance of 1260 km in 10 hours. Find its speed?
Set A of 8 positive integers may have the same element and have 40. And set B of 8 positive integers must have different elements and have 40. When m and n are the greatest possible differences between 40 and other elements’ sums in set A and set B, respectively, m-n=?
A sum of money triples itself in twelve years at simple interest. Find the rate of interest?
A bag contains 6 red, 5 blue and 2 green balls. If 2 ballsare picked at random, what is the probability that both are red?
If |5x-15| = 100, then find the sum of the values of x?
The lunch menu at a certain restaurant contains 4 different entrees and 5 different side dishes. If a meal consists of 1 entree and 2 different side dishes, how many different meal combinations E could be chosen from this menu?
The difference between the simple interest on a certain sum at the rate of 10%per annum for 2 years and compound interest which is compounded every 6 months is Rs.124.05. what is the principal sum
If 15 students in a class average 73% on an exam and 10 students average 88% on the same exam, what is the average in percent for all 25 students?
Which of the following inequalities has a solution set, when graphed on the number line, is a single line segment of finite length?
A train running at the speed of 60 km/hr crosses a pole in 3 sec. What is the length of the train?
Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 25 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
25, 50, 100, 175, 275, (....)
A collection of books went on sale, and 2/3 of them were sold for $2.25 each. If none of the 40 remaining books were sold, what was the total amount received for the books that were sold?
By selling 32 mangoes in a dollar, a man loses 40%. How many mangoes must he sell in a dollar to gain 20% profit?
Two trains of equal lengths take 10 sec and 15 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction?
Calculate the average mark scored by Belinda if she had the following scores in an examination: 86, 50, 60, 67 and 79 marks (out of 100) in English Language, Spanish Language, Social Studies, Fine Art, and Physical Education respectively?
How many multiples of 10 are there between 81 and 358?
7^6n -1^ 6n When n is an integer > 0 is divisible by
Find the middle one when The sum of three consecutive even numbers is 162?
Mangala completes a piece of work in 30 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 a 5 percent deposit that has been paid toward the purchase of a certain product is $70, how much more remains to be paid?
If a lemon and apple together costs Rs.12, tomato and a lemon cost Rs.4 and an apple costs Rs.8 more than a lemon. What is the cost of lemon?
Of 50 applicants for a job, 30 had at least 5 years of prior work experience, 25 had advanced degrees, and 15 had at least 5 years of prior work experience and advanced degrees. How many of the applicants had neither 5 years of prior work experience nor advanced degrees?
The average weight of 19 students is 15kg. by the admission of a new student the average weight is reduced to 14.2 kg. the weight of the new student is ?
The jogging track in a sports complex is 1000 meters in circumference. Deepak and his wife start from the same point and walk in opposite directions at 20 km/hr and 15 km/hr respectively. They will meet for the first time in?
If the selling price of 50 articles is equal to the cost price of 40 articles, then the loss or gain percent is:
A trailer carries 3, 4 and 5 crates on a trip. Each crate weighs no less than 150 kg. What is the maximum weight of the crates on a single trip?
A person crosses a 400m long street in 10minnutes. What is his speed in km per hour?
Bony has twice as many marbles as Tony, and Tony has thrice as many marbles as Vinay. Which of the following cannot be the sum of marbles with all three of them ?
How many numbers between 100 and 756 are divisible by 2, 3, and 7 together?
A man can row a boat at 18 kmph in still water. If the speed of the stream is 3 kmph, what is the time taken to row a distance of 48 km downstream?
A student needs 30% of the marks on a test to pass the test. If the student gets 80 marks and fails the test by 100 marks, find the maximum marks set for the test.
Two trains each 250 m in length are running on the same parallel lines in opposite directions with the speed of 80 kmph and 70 kmph respectively. In what time will they cross each other completely?
A photograph measuring 2 1''⁄2 × 1 7''⁄8 is to be enlarged so that the length will be 4”. How many inches will the enlarged breadth be?
January 1, 2008 is Tuesday. What day of the week lies on Jan 1, 2009?
On dividing a number by 56, we get 29 as remainder. On dividing the same number by 8, what will be the remainder ?
In a kilometer race, If Abhishek gives Bharti a 40 m start, Abhishek wins by 19 sec. But if Abhishek gives Bharti a 30 sec start, Bharti wins by 40 m. Find the time taken by Bharti to run 5,000 m?
A man lent money of Rs. 2500 on simple interest for rate on interest being same as number of years. If he got Rs. 900 as interest amount at the end of the period then what is the rate of interest?
The ratio of the number of females to males at a party was 1:2 but when 5 females and 5 males left, the ratio became 1:3. How many people were at the party originally?
Evaluate: 30 - |-x + 6| for x = 10
The average (arithmetic mean) of the 5 positive integers k, m, r, s, and t is 16, and k < m < r < s < t. If t is 42, what is the greatest possible value of the median of the 5 integers?
The difference between a two-digit number and the number after interchanging the position of the two digits is 45. What is the difference between the two digits of the number?
A grocer has a sales of Euro 220, Euro 320, Euro 480, Euro 120and Euro 720 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Euro 620?
Carl is facing very difficult financial times and can only pay the interest on a $30,000 loan he has taken. The bank charges him a quarterly compound rate of 5%. What is the approximate interest he pays annually?
The greatest possible (straight line) distance, in inches, between any two points on a certain cube is 10. If the cube is modified so that its length is doubled and its width is doubled while its height remains unchanged, then what is the greatest possible (straight line) distance, in inches, between any two points on the modified box?
In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 8 boys when No boy gets more than one prize?
The Jhon purchased 550 square feet of Kentucky Gem sod at $1.89 per square foot and 270 square feet of Blue sod at $1.38 per square foot. What was the approximate average price per square foot paid for all the sod?
The value of (4.7×13.26 + 4.7×9.43+4.7×77.31) is
A, B and C are entered into a partnership. A invested Rs.6500 for 6 months, B invested Rs.8400 for 5 months and C invested for Rs.10000 for 3 months. A is a working partner and gets 5% of the total profit for the same. Find the share of C in a total profit of Rs.7400?
At present,the ratio between the ages of Arun and Deepak is 4:3. After 6 years, Arun’s age will be 26 years. What is the age of Deepak at present ?
Find the fourth proportional to 2.8, 4.6 and 7.6?
In a certain boys camp, 20% of the total boys are from school A and 30% of those study science. If there are 21 boys in the camp that are from school A but do not study science then what is the total number of boys in the camp?
Tough and Tricky questions: Work/Rate Problems. A group of 4 junior lawyers require 4 hours to complete a legal research assignment. How many hours would it take a group of three legal assistants to complete the same research assignment assuming that a legal assistant works at two-thirds the rate of a junior lawyer? Source: Chili Hot GMAT
Five people are on an elevator that stops at exactly 5 floors. What is the probability that exactly one person will push the button for each floor?
Income and expenditure of a person are in the ratio 5 : 4. If the income of the person is Rs. 15000, then find his savings?
In a jar there are 3 red gumballs and 2 blue gumballs. What is the probability of drawing at least one red gumball when drawing two consecutive balls randomly?
A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place?
For any numbers a and b, a#b = ab(5 − b). If a and a#b both represent positive numbers, which of the following could be a value of b?
The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is?
How many different positive integers exist between 10^5 and 10^6, the sum of whose digits is equal to 2?
A and B go around a circular track of length 200 m on a cycle at speeds of 36 kmph and 72 kmph. After how much time will they meet for the first time at the starting point?
The quantities S and T are positive and are related by the equation S=K/T, where k is a constant. If the value of S increases by 40 percent, then the value of T decreases by what percent?
The average of 15 numbers is 75. Average of the first 8 of them is 68 and that of the last 8 is 77. Find the 8th number?
An unbiased die is tossed. Find the probability of getting a multiple of 3
The radius of a semi circle is 6.4cm then its perimeter is?
if 111 = 09 444 = 12 777 = 15 then 888 = ???
The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 10 minutes, then the area of the park (in sq. m) is
Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
Abhi roll a dice and he will get money 3 times the outcome. He gives K to shaylendar for every roll. Finally he gets profit of 3 rupees in every roll. what is the value of k?
There are three vessels of equal capacity .Vessel A contains Milk and water in the ratio 7:3 ;Vessel B contains Milk and water in the ratio 2:1 and Vessel C contains Milk and water in the ratio 3:2 .If the mixture in all the three vessels is mixed up.What will be the ratio of water to milk ?
A scooter costs 25,000 when it is brand new. At the end of each year, its value is only 80% of what it was at the beginning of the year. What is the value of the scooter at the end of 3 years?
If a certain number is divisible by 16 and 30, it is NOT necessarily divisible by which of the following?
Sakshi can do a piece of work in 10 days.Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work :
A man buys an article for $10. and sells it for $15. Find the gain percent?