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big_math_dataset

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Triangle STV has sides ST = TV = 13, and SV = 10. What is the area?
A student committee that must consists of 6 members is to be formed from a pool of 8 candidates. How many different committees are possible
2^1 + 2^1 + 2^1 + 2^1 =
If M = 2N+1 where M is an Integer then which of the following is true?
A man purchases 2 watches for $ 500. He sells one at 15% profit and the other at a loss of 10%. He neither gains nor loses on the whole. Thus, the cost price of two watches are :
A man can row downstream at the rate of 10 Km/hr and upstream at 6 Km/hr. Find man's rate in still water and the rate of current?
In the youth summer village there are 300 people, 200 of them are not working,100 of them have families and 125 of them like to sing in the shower. What is the largest possible number of people in the village, which are working, that don't have families and that are singing in the shower?
The price of cooking oil has increased by 25%. The percentage of reduction that a family should effect in the use of cooking oil so as not to increase the expenditure on this account is?
In the quiet town ofNothintodothere are 600 inhabitants, 400 are unemployed and 200 are somnambulists. If half of the somnambulists are unemployed, how many are employed and are not somnambulists?
What is the sum of this series? 1, 3, 5, 7, 9, ...... 35.
A can do half the work in one day where as B can do it full. B can also do half the work of C in one day. Ratio in their efficiency will be?
The sum of the first n positive perfect squares, where n is a positive integer, is given by the formula n^3/3 + c*n^2 + n/6, where c is a constant. What is the sum of the first 20 positive perfect squares?
A rectangular photograph is surrounded by a border that is 3 inch wide on each side. The total area of the photograph and the border is M square inches. If the border had been 6 inches wide on each side, the total area would have been (M + 178) square inches. What is the perimeter of the photograph, in inches?
The price of 357 mangoes is Rs. 1517.25 what will be the approximate price of 9 dozens of such mangoes ?
If x, y, and z are consecutive odd integers, with x < y < z, then which of the following must be true? I. x + y is even II. (x+z)/y is an integer III. xz is even
If a 3-member subcommittee is to be formed from a certain 6-member committee, how many different such subcommittee are possible?
If m is not equal to zero, and m+1/m = 1, then what is the value of m^4 + (1/m)^4?
A girl has 12 jeans and 15 tops. In how many different ways can she select a jeans and a tops?
If a person allocates 20 percent of his budget to house rent, 30 percent to food, and 25 percent to clothes, what fraction of his budget remains for other allocations?
If a committee of 3 people is to be selected from among 4 married couples so that the committee does not include two people who are married to each other, how many such committees are possible?
If Jake loses 8 pounds, he will weigh twice as much as his sister Kendra. Together they now weigh 284 pounds. What is Jake’s present weight, in pounds?
A and B complete a work in 80 days. A alone can do it in 40 days. If both together can do the work in how many days?
A composer’s guild is planning its spring concert, and eight pieces have been submitted for consideration. The director of the guild knows that they will only have time to present five of them. If the pieces can be played in any order, how many combinations of pieces are possible?
Line k is in the rectangular coordinate system. If the f-intercept of k is -2, and the y-intercept is 3, which of the following is an equation of line k?
John's annual salary after a raise of 15% is $45,000. What was his salary before the raise?
The marks of 10 students of a class are 46,51,62,70,35,x,50,83,65,52. If the average marks is 55, find x.
The population of a town increases 20% and 25% respectively in two consecutive years. After the growth the present population of the town is 1500. Then what is the population of the town 2 years ago?
If 21!/3^x is an integer, what is the greatest possible value of x?
Max bungee jumps from the top of a building straight to the ground at a constant speed. 5 seconds after he starts plummeting he passes the 10th floor. 10 seconds after he starts plummeting he passes the 5th floor. Each floor is 5 meters high. What is Mr. Wayne's speed in meters per second?
In how many different number of ways 7 men and 2 women can sit on a shopa which can accommodate persons?
A mixture of 150 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture?
A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 22, then how old is B?
In 2008, the profits of Company N were 10 percent of revenues. In 2009, the revenues of Company N fell by 5 percent, but profits were 10 percent of revenues. The profits in 2009 were what percent of the profits in 2008?
A person can swim in still water at 10 km/h. If the speed of water 4 km/h, how many hours will the man take to swim back against the current for 12 km?
At the end of three years what will be the compound interest at the rate of 10% p.a. on an amount of Rs.20000?
In a simultaneous throw of two dice , what is the probability of getting to total of 10 or 11?
In the city of San Durango, 60 people own cats, dogs, or rabbits. If 38 people owned cats, 40 owned dogs, 10 owned rabbits, and 12 owned exactly two of the three types of pet, how many people owned all three?
The set X = {10,11,12,13,14}. The set Y = {2,3,4,5}. We will randomly choose one element x from set X and one element y from set Y. What is the probability that x / y will be an integer?
The sum of two numbers is 20. The larger number is four less than twice the smaller number. What are the two numbers?
Average between two sets of numbers is closer to the set with morenumbers?
A can finish a work in 12days, B in 9days and C in 2days, B and C start the work but are forced to leave after 3 days. The remaining work was done by A in?
An amount of Rs. 100000 is invested in two types of shares. The first yields an interest of 9% p.a and the second, 11% p.a. If the total interest at the end of one year is 9 3/4 %, then the amount invested in each share was?
If the price of an article went up by 20%, then by what percent should it be brought down to bring it back to its original price?
The average of 25 results is 8. The average of first 12 of them is 14 and that of last 12 is 17. Find the 13 result?
How many integers between 300 and 1400 are there such that their unit digit is odd?
Caleb spends $64.50 on 50 hamburgers for the marching band. If single burgers cost $1.00 each and double burgers cost $1.50 each, how many double burgers did he buy?
5b2 is a three-digit number with b as a missing digit. If the number is divisible by 6, the missing digit is:
The average salary of 16 people in the shipping department at a certain firm is $20,000. The salary of 5 of the employees is $25,000 each and the salary of 4 of the employees is $16,000 each. What is the average salary of the remaining employees?
If 314,314 bottles of water need to be placed in boxes and each box can contain at most 9 bottles of water. How many bottles of water will be in the last unfilled box?
A sun is divided among X, Y and Z in such a way that for each rupee X gets, Y gets 45 paisa and Z gets 30 paisa. If the share of Y is RS. 27, what is the total amount?
Mahesh marks an article 15% above the cost price of Rs. 540. What must be his discount percentage if he sells it at Rs. 460?
The average age of 30 boys of a class is equal to 14 yrs. When the age of the class teacher is included the average becomes 15 yrs. Find the age of the class teacher.
In how many years, Rs. 150 will produce the same interest at 6% as Rs. 400 produce in 2 years at 4½% ?
If P = k^3 – k, where k and P are positive integers, and k is given by the expression k=(10x)n+54k=(10x)n+54, where x and n are positive integers, then what is the remainder when P is divided by 4 ?
If a store adds 50 chairs to its current inventory, the total number of chairs will be the same as three-halves the current inventory of chairs. If the manager wants to increase the current inventory by 40%, what will the new inventory of chairs be?
A certain characteristic in a large population has a distribution that is symmetric about the mean m. If 68 percent of the distribution lies within one standard deviation d of the mean, what percent Q of the distribution is less than m +d ?
The cross-section of a cannel is a trapezium in shape. If the cannel is 8 m wide at the top and 6 m wide at the bottom and the area of cross-section is 700 sq m, the depth of cannel is?
Given 3^n, for any real integer of n, which of the following is a possible resultant?
Tough and Tricky questions: Word Problems. Operation # is defined as: a # b = 4a^2 + 4b^2 + 8ab for all non-negative integers. What is the value of (a + b) + 8, when a # b = 100?
How many odd three-digit integers greater than 700 are there such that all their digits are different?
The vertex of a rectangle are (1, 0), (9, 0), (1, 2) and (9, 2) respectively. If line L passes through the origin and divided the rectangle into two identical quadrilaterals, what is the slope of line L?
The months of the calendar have been coded in the following ways: January = 1071 February = 682 March = 1353 April = 154 May = 1335 June = 1046 July = 1047 August = 168 Using the same coding method, can you find out how to code September
The price of a certain painting increased by 10% during the first year and decreased by 15% during the second year. The price of the painting at the end of the 2-year period was what percent of the original price?
Find the number of ways of arranging the letters of the word "MATERIAL" such that all the vowels in the word are to come together?
total 52 matches are conducted in Knockout match type. How many players will be participated in that tournament?
The sum of three numbers is 343. If the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 8,then the second number is :
Pipes A and B can fill a tank in 8 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in
WHEN A PERSON SELLS TWO ITEMS $1300 each, ONE AT A GAIN OF 20% AND OTHER AT A LOSS OF 20%.THEN THE SELLER INCURES A LOSS OR GAIN OF:
In May Mrs Lee's earnings were 60 percent of the Lee family's total income. In June Mrs Lee earned 30 percent more than in May. If the rest of the family's income was the same both months, then, in June, Mrs Lee's earnings were approximately what percent of the Lee family's total income ?
If you roll 2 dice, what is the probability of rolling a 5?
There are 12 red balls, 10 blue balls, 12 green balls and 9 black balls in a bag. What is the minimum number of balls to be taken out of the bag to assure that you have all the balls of one color?
Two poles of height 6 meters and 11 meters stand on a plane ground. If the distance between their feet is 12 meters then find the difference in the distance between their tops:
One fourth of a solution that was 10 percent salt by weight was replaced by a second solution resulting in a solution that was 16 percent salt by weight. The second solution was what percent salt by weight ?
Working alone at its constant rate, machine A produces x boxes in 10 minutes and working alone at its constant rate, machine B produces 2x boxes in 5 minutes. How many minutes does it take machines A and B, working simultaneously at their respective constant rates, to produce 5x boxes?
A and B together can do a work In 4 days. A alone can do it in 12 days. What time B will take to do the work alone?
28, 26, 21, 19, 14, 12, ?
If money is invested at r percent interest, compounded annually, the amount of investment will double in approximately 70/r years. If Pat's parents invested $ 8000 in a long term bond that pays 4 percent interest, compounded annually, what will be the approximate total amount of investment 36 years later, when Pat is r...
An article is bought for Rs.400 and sold for Rs.360, find the loss percent?
If a committee of 3 people is to be selected from among 5 married couples so that the committee does not include two people who are married to each other, how many X such committees are possible?
3 buffaloes eat as much as 4 cows or 2 oxen. At a farm there are 15 buffaloes, 8 oxen and 24 cows. The fodder for these cattle is available for 24days. If 8 more cows & 9 more buffaloes are brought in, how long will the fodder last?
14, 18, x, 20 The median of the list of positive integers above is 16. Which of the following could be the average (arithmetic mean) of the list?
The price of an article is reduced by 25% in order to restore the must be increased by ?
With a uniform speed a car covers the distance in 8 hours. Had the speed been increased by 4 km/hr, the same distance could have been covered in 7 1/2 hours. What is the distance covered?
The salary of a person was reduced by 15%. By what percent should his reduced salary be raised so as to bring it at par with his original salary?
On a certain road 10% of the motorists exceed the posted speed limit and receive speeding tickets, but 30% of the motorists who exceed the posted speed limit do not receive speeding tickets. What percent of the motorists on the road exceed the posted speed limit?
Two numbers are such that the ratio between them is 3:5 but if each is increased by 10, the ratio between them becomes 5 : 7, the numbers are
A parallelogram has sides 12 cm and 9 cm. If the distance between its shorter sides is 8 cm, find the distance between its longer side.
A person buys an article at Rs.550. At what price should he sell the article so as to make a profit of 30%?
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 38 years now, the son's age five years back was:
If x represents the sum of all the positive three-digit numbers that can be constructed using each of the distinct nonzero digits a, b, and c exactly once, what is the largest integer by which x must be divisible?
On Thursday, the original price of a shirt was discounted by 20%. On Monday, the price of the shirt was marked up C percent so that the new price on Monday was 20% more than the original price before the discount. What is the value of C?
In a group of cows and chickens, the number of legs was 18 more than twice the number of heads. The number of cows was:
If the L.C.M of two numbers is 750 and their product is 18750, find the H.C.F of the numbers.
3 men and 7 women can complete a work in 10 days . But 4 men and 6 women need 8 days to complete the same work . In how many days will 10 women complete the same work?
The ‘moving walkway’ is a 300-foot long walkway consisting of a conveyor belt that moves continuously at 3 feet per second. When Bill steps on the walkway, a group of people that are also on the walkway stands 120 feet in front of him. He walks toward the group at a rate of 3 feet per second. Once Bill reaches the grou...
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is ?
21 buses are running between two places P and Q. In how many ways can a person go from P to Q and return by a different bus?
Private Benjamin is a member of a squad of 10 soldiers, which must volunteer 4 of its members for latrine duty. If the members of the latrine patrol are chosen randomly, what is the probability W that private Benjamin will be chosen for latrine duty?
Donovan took a math test and got 35 correct and 10 incorrect answers. What was the percentage of correct answers? (Round to the nearest hundredth)