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big_math_dataset

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Which one of the following numbers is the greatest positive integer x such that 3^x is a factor of 729^5?
Solve below question 2x + 1 = -11
A man can hit a target once in 4 shots. If he fires 4 shots in succession, what is the probability that he will hit his target?
John's Bank's saving amount is decreased 50% due to loan payment and current balance is Rs.50000. Find the actual balance before deduction?
16 balls are numbered 1 to 16. A ball is drawn and then another ball is drawn without replacement. What is the probability that both balls have even numbers?
The wages earned by Robin is 35% more than that earned by Erica. The wages earned by Charles is 60% more than that earned by Erica. How much % is the wages earned by Charles more than that earned by Robin?
A four-character password consists of one letter of the alphabet and three different digits between 0 and 9, inclusive. The letter must appear as the second or third character of the password. How many different passwords are possible?
A can do a work in 20days, B in 30days. A alone start the work after 10days he left work. In how many days B can finish the work?
If a is a positive integer, and if the units digit of a^2 is 9 and the units digit of (a+1)^2 is 4, what is the units U digit of (a+2)^2?
How many of the positive divisors G of 120 are also multiples of 4 not including 120?
Look at this series: 439,404, 369, 334, 299, 264 ... What number should come next?
The side of a square is increased by 25% then how much % does its area increases?
A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, A receives:
A number x is multiplied with itself and then added to the product of 4 and x. If the result of these two operations is -3, what is the value of x?
When y is divided by 276, the remainder is 44. What is the remainder when the same y is divided by 23?
If the average of 5 positive integers is 45 and the difference between the largest and the smallest of these 5 numbers is 10, what is the maximum value possible for the largest of these 5 integers?
From a total of 5 boys and 6 girls, how many 4-person committees can be selected if the committee must have exactly 2 boys and 2 girls?
Mary can divide his herd into 5 equal parts and also to 6 equal parts, but not to 9 equal parts. What could be the number of cows Mary has in his herd?
An order was placed for the supply of a carper whose length and breadth were in the ratio of 3 : 2. Subsequently, the dimensions of the carpet were altered such that its length and breadth were in the ratio 7 : 3 but were was no change in its parameter. Find the ratio of the areas of the carpets in both the ?
If 3 (A's capital) = 8 (B's capital) = 10 (C's capital). Then the ratio of their capitals is?
3889 + 12.543 - ? = 3854.002
Yesterday's closing prices of 2,200 different stocks listed on a certain stock exchange were all different from today's closing prices. The number of stocks that closed at a higher price today than yesterday was 20 percent greater than the number that closed at a lower price. How many of the stocks closed at a higher price today than yesterday?
In a group of people, if 30 people were made to stand in each column, 16 columns could be formed. If 60 people were made to stand in a column, how many columns could be formed?
A train running at the speed of 60 km/hr crosses a pole in 9 sec. What is the length of the train?
Each Machine of type A has 3 steel parts and 2 chrome parts. Each machine of type B has 2 steel parts and 4 chrome parts. If a certain group of type A and type B machines has a total of 50 steel parts and 66 chrome parts, how many machines are in the group
A committee of 2 persons is to be formed from 3 company secretaries, 4 economists and 1 chartered accountant. What is the probability that each of the three professions is represented in the committee?
There are, in a certain league, 10 teams, and each team face another team for a total of 10 times. How many games are played in the season?
The profit earned by selling an article for Rs. 832 is equal to the loss incurred when the same article is sold for Rs. 448. What should be the sale price for making 60% profit?
The fourth proportional to 12, 14 and 18 is?
Uncle Bruce is baking chocolate chip cookies. He has 36 ounces of dough (with no chocolate) and 10 ounces of chocolate. How much chocolate is left over if he uses all the dough but only wants the cookies to consist of 20% chocolate?
Divide Rs. 1500 among A, B and C so that A receives 1/3 as much as B and C together and B receives 2/3 as A and C together. A's share is?
Two pipes can separately fill a tank in 20 and 30 hours respectively. Both the pipes are opened to fill the tank but when the tank is full, a leak develops in the tank through which one-third of water supplied by both the pipes goes out. What is the total time taken to fill the tank?
In a recent election, Ms. Robinson received 8000 voters cast by independent voters, that is, voters not registered with a specific political party. She also received 25 percent of the votes cast by those voters registered with a political party. IF N is the total number of votes cast in the election and 40 percent of the votes cast were cast by independent voters, which of the following represents the number of votes that Mrs. Robbins received?
The parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places
Two trains of length 250 m and 120 m are 50 m apart. They start moving towards each other on parallel tracks, at speeds 64 kmph and 42 kmph. After how much time will the trains meet?
The vertices of a rectangle in the standard (x,y) coordinate place are (0,0), (0,3), (6,0) and (6,3). If a line through (2,2) partitions the interior of this rectangle into 2 regions that have equal areas, what is the slope of this line?
The sum of ages of 5 children born at the intervals of 8 years each is 90 years. What is the age of the youngest child?
Sally has a gold credit card with a certain spending limit, and a platinum card with twice the spending limit of the gold card. Currently, she has a balance on her gold card that is 1/3 of the spending limit on that card, and she has a balance on her platinum card that is 1/6 of the spending limit on that card. If Sally transfers the entire balance on her gold card to her platinum card, what portion of her limit on the platinum card will remain unspent?
The average age of a family of 6 members is 28 years.If the age of the youngest member is 7 years,what was the average age of the family at the birth of the youngest member?
There are some passengers riding on a bus. At the first stop, half the passengers get off and nobody gets on the bus. This pattern continues as the bus goes to the next stops. If only one passenger gets off at stop number 7, how many passengers were on the bus originally?
If √2n = 64, then the value of n is :
The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 867 sq m, then what is the breadth of the rectangular plot?
A rectangular box measures internally 1.6 m long, I m broad and 60 cm deep.The number of cubical blocks each of edge 20 cm that can be packed inside the box is
Louie takes out a three-month loan of $1000. The lender charges him 30% interest per month compounded monthly. The terms of the loan state that Louie must repay the loan in three equal monthly payments. To the nearest dollar, how much does Louie have to pay each month?
On a certain transatlantic crossing, 20 percent of a ship’s passengers held round-trip tickets and also took their cars abroad the ship. If 20 percent of the passengers with round-trip tickets did not take their cars abroad the ship, what percent of the ship’s passengers held round-trip tickets?
If a committee of 4 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 such committees are possible?
a is the hundreds digit of the three digit integer x, b is the tens digit of x, and c is the units digit of x. 2a = b = 4c, and a > 0. What is the difference between the two greatest possible values of x? Tip: Dont stop till you have exhausted all answer choices to arrive at the correct one.
Six cards numbered from 1 to 6 are placed in a cardboard box . First one card is drawn and then put back into the bowl; then a second card is drawn. If the cards are drawn at random and if the sum of the numbers on the cards is 10, what is the probability that one of the two cards drawn is numbered 5 ?
There are 8 teams in a certain league and each team plays each of the other teams exactly once. If each game is played by 2 teams, what is the total number of games played?
The list price of an article is Rs.65. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is?
Average of 7 numbers is zero. At most how many numbers may be greater than zero
A line that passes through (–1, –4) and (5, k) has a slope = k. What is the value of k?
n a 1000m race, if A gives B a start of 40m, A wing by 19sec. But if A gives B start of 30sec, B wins by 40m. Find the time taken by B to run 3000m race?
Tom wants to buy items costing $25.35, $70.69, and $85.96. He earns $6.50 an hour doing odd jobs. If ten percent of his income is put aside for other purposes, how many hours must he work to earn the money he needs for his purchases? Round your answer to the nearest whole hour.
A and B invested Rs.15000 and Rs.20,000 respectively in a business. How should a loss of Rs.2800 be divided between them at the end of year? (in rupees)
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is?
If 70% of a number exceeds 28% of it by 39.9, then find the number?
Find the ratio in which rice at Rs. 7.30 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg
If S + A < S - A < A - S, which of the following is correct?
A man took loan from a bank at the rate of 12% p.a. simple interest. After 3 years he had to pay Dollar 5400 interest only for the period. The principal amount borrowed by him was:
In a certain province in India there are 15 cities. If a single road segment connects only two cities, how many road segments are required in order to connect the cities so that each city is connected to all other cities with a single road segment?
There are 6 orators A, B, C, D, E, F. In how many ways can the arrangements be made so that A always comes before B and B always comes before C.
Which of the following is non-negative?
In a group of 3 boys and 2 girls can be formed out of a total of 4 boys and4 girls?
What will come in place of the x in the following Number series? 5,28,57,88,125
A sun is divided among X, Y and Z in such a way that for each 2 rupees X gets, Y gets 1 rupee 50 paisa and Z gets 1 rupee 20 paisa. If the share of X is RS. 125, what is the total amount?
The average temperature for Monday, Tuesday, Wednesday and Thursday was 48 degrees and for Tuesday, Wednesday, Thursday and Friday was 46 degrees. If the temperature on Monday was 42 degrees. Find the temperature on Friday?
A hollow cube of size 5 cm is taken, with a thickness of 1 cm. It is made of smaller cubes of size 1 cm. If 4 faces of the outer surface of the cube are painted, totally how many faces of the smaller cubes remain unpainted?
A group of n students can be divided into equal groups of 4 with 1 student left over or equal groups of 7 with 2 students left over. What is the sum of the two smallest possible values of n?
If −y ≥ x, and −x < −4, then which of the following must be true?
The average of six numbers is 3.95. The average of two of them is 3.4, while the average of the other two is 3.85. What is the average of the remaining two numbers ?
what is the least number. which should be added to 0.0355 to make it a perfect square?
A man can row 7 ½ kmph in still water.if in a river running at 1.5 km/hr an hour,it takes him 50 minutes to row to a place and back,how far off is the place?
Which of the following is a prime number ?
A and B can do a piece of work in 3 days, B and C in 4 days, C and A in 6 days. How long will C take to do it?
If n is an integer, f(n) = f(n-1) - n and f(4)=15. What is the value of f(6)?
There are 21 students in a class. In how many different ways can a committee of 3 students be formed?
Tough and Tricky questions: Exponents. If 7^(3x-1)*3^(4y-3) = 49^x*27^y, then x + y =
An error 3% in excess is made while measuring the side of a square. What is the percentage of error in the calculated area of the square?
The CI on Rs 30000 at 7% per annum for a certain period is 4347.The period is ?
The temperature of a certain cup of coffee 6 minutes after it was poured was 120 degrees Fahrenheit. If the temperature F of the coffee t minutes after it was poured can be determined by the formula F = 120*2^(-at) + 60, where F is in degrees Fahrenheit and a is a constant. Then the temperature of the coffee 30 minutes after it was poured was how many degrees Fahrenheit?
A committee of 5 people is to be selected from 7 people. How many different committees are possible?
The annual budget of a certain college is to be shown on a circle graph. If the size of each sector of the graph is to be proportional to the amount of the budget it represents, how many degrees of the circle should be used to represent an item that is 30 percent of the budget?
Difference of two numbers is 1860. If 7.5% of the number is 12.5% of the other number , find the number ?
What is the greatest positive integer n such that 3^n is a factor of 36^450?
A and B are partners in a business. A contributes 1/4 of the capital for 15 months and B received 2/3 of the profit. For how long B's money was used ?
If x < y < z and y - x > 5, where x is an even integer and y and z are odd integers, what is the least possible value S of z - x?
A is a working partner and B is a sleeping partner in the business. A puts in Rs.15000 and B Rs.25000, A receives 10% of the profit for managing the business the rest being divided in proportion of their capitals. Out of a total profit of Rs.9600, money received by A is?
What is the place value of 7 in the numeral 2734?
A bowl was half full of water. 4 cups of water were then added to the bowl, filling the bowl to 70% of its capacity. How many cups of water are now in the bowl?
Last month, John rejected 0.5% of the products that he inspected and Jane rejected 1.00 percent of the products that she inspected. If total of 0.75 percent of the products produced last month were rejected, what fraction of the products did Jane inspect?
What is the greatest value of n such that 17^n is a factor of 17! ?
What is the area of square field whose side of length 20 m?
In the biology lab of "Jefferson" High School there are 2.16*10^6 germs, equally divided among 10,800 Petri dishes. How many germs live happily in a single dish?
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is?
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. What is the total distance traveled by the man?
If r = 199,999 and s = 991,999, which of the following is the units digit of r^2 + s^3?
A profit of Rs. 900 is divided between X and Y in the ratio of 1/2:1/3 . What is the difference between their profit shares ?
A train speeds past a pole in 15 sec and a platform 100 m long in 25 sec, its length is?
What will come in place of the x in the following Number series? 6, 12, 21, x , 48