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big_math_dataset

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The volume of a cube is 1728 cc. Find its surface?
Ram is working on a set of Data Sufficiency problems for his December GMAT: a geometry problem, an algebra problem, and a data interpretation problem. He has determined that statement 1 of the geometry problem is insufficient on its own, that both statement 1 and 2 of the algebra problem are insufficient on their own, ...
The average runs scored by a batsman in 20 matches is 40. In the next 10 matches the batsman scored an average of 13 runs. Find his average in all the 30 matches?
Suppose in 1960, the consumer price index was 70 while in 2015 it is 280. What monthly salary in 2015 would have the same purchasing power as a monthly salary of 800 dollars in 1960?
At Daifu university, 40% of all students are members of both a chess club and a swim team. If 20% of members of the swim team are not members of the chess club, what percentage of all Daifu students are members of the swim team?
Each of the 11 letters A, H, I, M, O, T, U, V, W, X and Z appears same when looked at in a mirror. They are called symmetric letters. Other letters in the alphabet are asymmetric letters. How many three letter computer passwords can be formed (no repetition allowed) with at least one symmetric letter?
1,000^2 + 1,001^2 +1,002^2 + 1,003^2 + 1,004^2 + 1,005^2+ 1,006^2 =
On the first of the year, James invested x dollars at Proudstar bank in an account that yields 2.4% in interest every quarter year. At the end of the year, during which he made no additional deposits or withdrawals, he had y dollars in the account. If James had invested the same amount in an account which pays interest...
The center of a circle is (5, -1). (5, 7) is outside the circle, and (1, -1) is inside the circle. If the radius, r, is an integer, how many possible values are there for r?
Nil and Ethan are brothers. They left their home at the same time and drove to the same beach. Nil drove at a speed of 50 miles per hour. Ethan drove at a speed of 20 miles per hour. Nil arrived at the beach 0.5 hour earlier than Ethan. What is the distance between their home and the beach?
Ram and Krishna start from A and B respectively at the same time and travel towards each other at constant speeds along the same route. Ram meets Krishna at point C on the road which is 900m away from starting point A and 600m away from point B. The time taken by Ram to reach point B is 20minutes. Find the constant spe...
A table is bought for Rs.940/- and sold at Rs.820/- find the loss percentage
Rahul can finish one-fifth of hhis homework in one hour.Neha can finish three-seventh of her homework in one hout thirty minutes and riya can finish three fourth of her homework in three hours thirty minutes.If all of them start their homework at 12:00pm and can go to play as soon as they all finish their homework,when...
Pipe A can fill a tank in 6 hours. Due to a leak at the bottom, it takes 9 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank?
An engagement team consists of a project manager, two team leaders, and four consultants. There are 2 candidates for the position of project manager, 3 candidates for the position of team leader, and 7 candidates for the 4 consultant slots. If 2 out of 7 consultants refuse to be on the same team, how many different tea...
A distributor sells a product through an online store, which take a commission of 20% of the price set by the distributor. The distributor obtains the product from a producer at the price of $16 per item. What is the price that the buyer observers online if the distributor wants to maintain a 20% profit on the cost of ...
112 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part?
An employee’s annual salary was increased 50%. If her old annual salary equals $80,000 , what was the new salary?
Tom read a book containing 560 pages by reading the same number of pages each day. If he would have finished the book 5 days earlier by reading 16 pages a day more, how many days did Tom spend reading the book?
If A:B = 1/2: 1/3 B:C = 1/2:1/3 then A:B:C?
At a party, there were five times as many females as males and four times as many adults as children. Which of the following could NOT be the number of people at the party?
Using all the letters of the word "THURSDAY", how many different words can be formed?
The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?
There are three departments having students 64,58,24 .In an exam they have to be seated in rooms such that each room has equal number of students and each room has students of one type only (No mixing of departments). Find the minimum number of rooms required?
A girl sold a book at a profit of 7%. Did she sold it for Rs.7.50 more, 22% would have been gained. Find the CP?
If the probability that Green Bay wins the Super Bowl is 1/12 and the probability that Milwaukee wins the World Series is 1/20, what is the approximate probability that either Green Bay wins the Super Bowl or Milwaukee wins the World Series?
A man is 28 years older than his son. In two years, his age will be twice the age of his son. The present age of the son is
10, 20, 12, 24, 16, 32, ?
Pipe A can fill a tank in 16 minutes and pipe B cam empty it in 24 minutes. If both the pipes are opened together after how many minutes should pipe B be closed, so that the tank is filled in 30 minutes?
Puzzle !!! 🙂 if 111 = 09 444 = 12 777 = 15 then 888 = ???
In a consumer survey, 65% of those surveyed liked at least one of three products: 1, 2, and 3. 40% of those asked liked product 1, 35% liked product 2, and 15% liked product 3. If 7% of the people in the survey liked all three of the products, what percentage of the survey participants liked more than one of the three ...
A man can row upstream at 10 kmph and downstream at 20 kmph, and then find the speed of the man in still water?
A vessel of capacity 90 litres is fully filled with pure milk. Nine litres of milk is removed from the vessel and replaced with water. Nine litres of the solution thus formed is removed and replaced with water. Find the quantity of pure milk in the final milk solution?
In a forest 150 deer were caught, tagged with electronic markers, then released. A week later, 50 deer were captured in the same forest. Of these 50 deer, it was found that 20 had been tagged with the electronic markers. If the percentage of tagged deer in the second sample approximates the percentage of tagged deer in...
What is the sum of all even numbers from 1 to 801?
A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 4 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?
Of the diplomats attending a summit conference, 25 speak French, 32 do not speak Russian, and 20% of the diplomats speak neither French nor Russian. If 10% of the diplomats speak both languages, then how many diplomats attended the conference?
A bank pays interest to its customers on the last day of the year. The interest paid to a customer is calculated as 10% of the average monthly balance maintained by the customer. John is a customer at the bank. On the last day, when the interest was accumulated into his account, his bank balance doubled to $5680. What ...
In a hostel there were 100 students. To accommodate some more students the average budget is decreased by rupees 10. But total expenditure increased by Rs.400. If the total expenditure of the hostel now 5400, find the number of student joined?
Which one of the given numbers is completely divisible by 45?
lexus car agency has 243 cars.he sold some cars at 9% profit and rest at 36% profit thus he gains 17% on the sale of all his cars.the no. of cars sold at 36% profit is?
39 persons can repair a road in 12 days, working 10 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?
How many zeros does 65! end with?
What is the units digit of (3^16)(4^13)?
A sum of money becomes 7/6 of itself in 5 years at a certain rate of simple interest. The rate per annum is?
A train 150 m long is running at a speed of 68 kmph. How long does it take to pass a man who is running at 8 kmph in the same direction as the train?
In an election between two candidates, 70% of the voters cast their votes, out of which 4% of the votes were declared invalid. A candidate got 6552000 votes which were 75% of the total valid votes. Find the total number of votes enrolled in that election.
Simplify: 0.3*0.3+0.3*0.3
A starts business with Rs.3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is B’s contribution in the Capital ?
How many multiples of 2 are there between 0 and 100, exclusive ?
If 2 cards are selected (with replacement) at random from the deck of 52 cards then what is the probability that one of the selected cards will be red and the other will be black? A deck of cards has a total of 52 cards, consisting of 4 suits: spades (black), hearts (red), diamonds (red), and clubs (black). In each sui...
For the past n days, the average (arithmetic mean) daily production at a company was 30 units. If today's production of 90 units raises the average to 35 units per day, what is the value of n ?
The G.C.D of 1.08, 0.42 and 0.9 is
The difference between the squares of two consecutive odd integers is a square<1000 whose root equals the combined sum of the digits of the two integers. What is the sum of the digits X of the larger integer?
John and Karen begin running at opposite ends of a trail until they meet somewhere in between their starting points. They each run at their respective constant rates until John gets a cramp and stops. If Karen runs 50% faster than John, who is only able to cover 25% of the distance w before he stops, what percent longe...
If 1+2+3+...+n=n (n+1), then 3 (1+3+5+....+79)=?
Look at this series: 72, 76, 73, 77, 74, __, 75, ... What number should fill the blank?
Find large number from question the difference of two numbers is 1365.On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder?
In a friendship gang Raja has 9 gang, in how many ways can he invite one or more of the gang to his house?
The average height of 20 girls out of a class of 50 is 142 cm. and that of the remaining girls is 149 cm. The average height of the whole class is :
A certain bag contains 60 balls — 22 white, 18 green, 5 yellow, 6 red, and 9 purple. If a ball is to be chosen at random, what is the probability that the ball will be neither red nor purple?
A boy runs 200 metres in 60 seconds. What is his speed ?
In a certain state, the ratio of registered Republicans to registered Democrats is 3 to 2, and every registered voter is either a Republican or a Democrat. If 75 percent of the Republicans and 15 percent of the Democrats are expected to vote for Candidate X, and everyone else is expected to vote for Candidate Y, by wha...
A man spends 50% of his income on food, 15% on children education and 50% of the remaining on house rent. What percent of his income he is left with?
There are 12 points in a given plane, no three of which are on the same line. If one of the points is represented as 'A', then how many triangles can be determined with the 12 points that contain the point A?
The monthly income of Suman in the year 2009 was approximately what percentage of the monthly income of Jyothi in the year 2010?
Two cars cover the same distance at the speed of 60 and 64 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car.
The length of rectangle is thrice its breadth and its perimeter is 96 m, find the area of the rectangle?
The letters B,G,I,N and R are rearranged to form the word 'Bring'. Find its probability.
What is the 25th digit to the right of the decimal point in the decimal form of 6/11?
On Thursday Mabel handled 90 transactions. Anthony handled 10% more transactions than Mabel, Cal handled 2/3rds of the transactions that Anthony handled, and Jade handled 19 more transactions than Cal. How much transactions did Jade handled?
Subtracting 10% from X is the same as multiplying X by what number?
In the simple subtraction problem below some single digits are replaced by letters .Fined the value of 7A+5D+6CD?
Caleb spends $74.50 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?
A girl has exactly 6 quarters, 6 dimes, and 10 nickels in her pocket. If she withdraws a number of these coins at random, how many coins would she have to withdraw to ensure that she has at least a 50 percent chance of withdrawing at least one quarter?
In a ratio which is equal to 4:6, if the antecedent is 20, then the consequent is?
A certain team has 14 members, including Joey. A three-member relay team will be selected as follows: one of the 14 members is to be chosen at random to run first, one of the remaining 13 members is to be chosen at random to run second, and one of the remaining 12 members is to be chosen at random to run third. What is...
When a plot is sold for Rs. 18,700, the owner loses 15%. At what price must that plot be sold in order to gain 15%?
The ratio of a to b is 4 to 5, where a and b are positive. If x equals a increased by 25 percent of a, and m equals b decreased by 60 percent of b, what is the value of m/x?
The sum of two consecutive integers is 61. Find the numbers.
Average between 2 sets of numbers is closer to the set with more no's?
If the wheel is 14 cm then the number of revolutions to cover a distance of 1408 cm is?
If it takes a machine 4⁄5 minute to produce one item, how many items will it produce in 2 hours?
If points A and B are (4+1) units apart, which of the following can have only one possible value? I. The area of a square region with side AB II. The circumference of a circle passing through points A and B III. The area of a rectangular region with diagonal AB
In a party attended by 10 persons, each clinch their glass with every other. How many glass clinches?
If the positive integer y is divisible by 3, 8, and 12, then which of the following must y be divisible by? I. 24 II. 36 III. 48
How many possible integer values are there for x if |6x - 3| < 6 ?
If |x - 8| = x, then x=?
At what rate percent per annum will a sum of money double in 8 years.
The L.C.M of two numbers is 48. The numbers are in the ratio 1:2. The sum of numbers is:
225 metres long yard, 26 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between 2consecutive trees
How many multiples of 5 are there between 5 to 100?
If V is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3^k is a factor of V?
Which of the following is the equation of the line in the xy-plane that has slope 0 (I) x = 3 (II) y = 3 (III) x + y = 0
The cost of the paint is rs.20 per kg. if 1kg of paint covers 15 sq.ft, how much will it cost to paint outside of a cube having 5 feet each side
Find the average of first 30 natural numbers.
If there are 56 laborers in a crew, and on a certain day, 30 were present. Calculate the percentage that showed up for work? (round to the nearest tenth).
A, B and C can do a piece of work in 24, 30 and 40 days respectively. They start the work together but C leaves 4 days before the completion of the work. In how many days is the work done?
Two horses begin running on an oval course at the same time. One runs each lap in 8 minutes; the other takes 12 minutes to run each lap. How Many minutes after the start will the faster horse have a one lap lead?
Stuart bought a sweater on sale for 30% off the original price and another 25% off the discounted price. If the original price of the sweater was $80, what was the final price of the sweater?