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big_math_dataset

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A cistern is normally filled in 14 hours but takes two hours longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty it in?
If the numbers representing volume and surface area of a cube are equal, then the length of the edge of the cube in terms of the unit of measurement will be
Sachin Tendulkar bough a red ferrari with a strange 5 digit numbered plate.The water image of the number is 78633 more than my car number.All the digits of sachin's car number are distinct. What is the original number on sachin's number plate?
The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 60 metres?
{-10, -6, -5, -4, -2.5, -1, 0, 2.5, 4, 6, 7, 10} A number is to be selected at random from the set above. What is the probability that the number selected will be a solution of the equation (x+4)(x+10)(2x-5) = 0?
of polynomial for degree of x>+1 where f(x2)=f(x)2=f(f(x))
How many words can be formed by using all letters of the word “BIHAR”
The amount of principal Rs.4000 at compound interest at the ratio of 10% p.a. for 3 years is
A man can row a boat at 36 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 100 km upstream?
A person got Rs.48 more when he invested a certain sum at compound interest instead of simple interest for two years at 8% p.a. Find the sum?
Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. What are the marks obtained by them?
In a bag containing 3balls, a white ball was placed and then 1ball was taken out at random. What is the probability that the extracted ball would turn on to be white, if all possible hypothesis concerning the color of theballs that initiallyin the bag were equally possible ?
On dividing 190 by a number, the quotient is 9 and the remainder is 1. Find the divisor?
The average mark of the students of a class in a particular exam is 90. If 2 students whose average mark in that exam is 45 are excluded, the average mark of the remaining will be 95. Find the number of students who wrote the exam?
The set S has 36 different subsets each of which contains exactly two elements. How many subsets of S could contain exactly six elements each?
The length, breadth and height of a room are in the ratio 4 : 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
If Z= Y^2 + d W+ 9 does not cut the x-axis, then which of the following could be a possible value of d? I. 0 II. -3 III. 9
The number of stamps that P and Q had were in the ratio of 7:4 respectively. After P gave Q 8 stamps, the ratio of the number of P's stamps to the number of Q's stamps was 6:5. As a result of the gift, P had how many more stamps than Q?
How many positive even integers less than 100 contain digits 5 or 7?
3^b + 3^b + 3^b =
A and B go around a circular track of length 150 m on a cycle at speeds of 36 kmph and 54 kmph. After how much time will they meet for the first time at the starting point?
Donna, Chris, and Austin have a total of $93 in their wallets. Donna has $7 more than Chris. Austin has 3 times what Donna has. How much do they have in their wallets?
Rs.1500 is divided into two parts such that if one part is invested at 6% and the other at 5% the whole annual interest from both the sum is Rs.80. How much was lent at 5%?
A grocer purchased 20 kg of rice at the rate of 15 per kg and 30 kg of rice at the rate of 13 per kg. At what price per kg should he sell the mixture to earn 331/3% profit on the cost price?
Weights of two friends Ram and Shyam are in the ratio 4:5. If Ram's weight is increased by 10% and total weight of Ram and Shyam become 82.8 kg, with an increases of 15%. By what percent did the weight of Shyam has to be increased?
The radius of a semi circle is 6.7 cm then its perimeter is?
The average weight of 8 person's increases by 3 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?
The average marks of a class of 30 students is 40 and that of another class of 50 students is 60. Find the average marks of all the students?
20 litres of mixture contains 40% alcohol and the rest water. If 8litres of water be mixed with it, the percentage of alcohol in the new mixture would be?
Three numbers are in the ratio 4 : 5 : 6 and their average is 25 . The largest number is:
The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8 is:
Calculate the standard deviation of each data set {10,10,10,10,10}
If x is a positive even number, then each of the following is odd EXCEPT
A rectangular box of volume x has width, depth and height in the ratio of 5:1:2 (in that order). What is the width as a function of x?
A man has a job, which requires him to work 8 straight days and rest on the ninth day. If he started work on Monday, find the day of the week on which he gets his 12th rest day.
A vessel contains 20 liters of a mixture of milk and water in the ratio 3:2. 10 liters of the mixture are removed and replaced with an equal quantity of pure milk. If the process is repeated once more, find the ratio of milk and water in the final mixture obtained?
By selling an article at Rs.800, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 35%?
What is the smallest positive integer x for which x3+5xx3+5x has a value more than 80?
The cash realised on selling a 14% stock is Rs.109.25, brokerage being 1/4% is
X and Y invest Rs.21000 and Rs.17500 respectively in a business. At the end of the year, they make a profit of Rs.24200. What is the share of X in the profit?
How many terminating zeroes W does 200! have?
P, Q and R can do a work in 20, 30 and 60 days respectively. How many days does it need to complete the work if P does the work and he is assisted by Q and R on every third day?
30 buckets of water fill a tank when the capacity of each bucket is 13.5 litres. How many buckets will be required to fill the same tank if the capacity of each bucket is 9 litres?
Surekha started a business investing Rs.25,000 in 1999. In 2000, he invested an additional amount of Rs. 10,000 and Rajesh joined him with an amount of Rs. 35,000. In 2001, Surekha invested another additional amount of Rs.10,000 and Jay joined them with an amount of Rs.35,000. What will be Rajesh's share in the profit ...
A boy rides his bicycle 10 km at an average speed of 12 km/hr and again travels 12 km at an average speed of 10 km/hr. His average speed for the entire trip is approximately?
A man can row at 5 kmph in still water. If the velocity of current is 1 kmph and it takes him 1 hour to row to a place and come back, how far is the place?
On Monday, Lou drives his vehicle with 27-inch tires, averaging x miles per hour. On Tuesday, Lou switches the tires on his vehicle to 30-inch tires yet drives to work at the same average speed as on Monday. What is the percent change from Monday to Tuesday in the average number of revolutions that Lou's tires make per...
If x = a!, which of these following values of a is the least possible value (in this list) for which the last 10 digits of the integer x will all be zero?
Two persons A and B can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 3 days?
At a certain company, each employee has a salary grade s that is at least 1 and at most 5. Each employee receives an hourly wage p, in dollars, determined by the formula p = 9.50 + 0.25(s – 1). An employee with a salary grade of 4 receives how many more dollars per hour than an employee with a salary grade of 1?
A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?
Take a marker and start from a corner of a cube. How many edges you can trace if you dont move the marker twice anywhere and never remove it? (You can move the marker only on the corner and edges)
X and Y invest Rs.21000 and Rs.17500 respectively in a business. At the end of the year, they make a profit of Rs.26400. What is the share of X in the profit?
An article is bought for Rs.675 and sold for Rs.900, find the gain percent?
Two cups X and Y contain coffee and water combined in the ratio 8:5 and 5:2 correspondingly. What is the ratio in these 2 combinations be combined to get a new combination has coffee and a water in the ratio of 9:4?
A seller uses 840gm in place of 1kg to sell his goods. Find his actual % profit or loss, when he sells his article his article on 4% gain on cost price?
Write 840,000,000,000 in scientific notation.
The product of all the prime numbers less than 20 is closest to which of the following powers of 20 ?
Tough and Tricky questions: Distance/Rate. On a reconnaissance mission, a state-of-the-art nuclear powered submarine traveled 300 miles to reposition itself in the proximity of an aircraft carrier. This journey would have taken 1.5 hour less if the submarine had traveled 10 miles per hour faster. What was the average s...
A merchant sells an item at a 20% discount, but still makes a gross profit of 20 percent of the cost. What percent W of the cost would the gross profit on the item have been if it had been sold without the discount?
The expression 10^12−120 is divisible by all of the following integers EXCEPT
The public library has exactly 2 floors. It has 1/3 as many shelves on its 2nd floor as it does on its 1st. If the second floor has 5/6 as many books per shelf as the first floor, what fraction of the library's books are on the first floor?
Seller selling an apple for Rs.19, a Seller loses 1/6th of what it costs him. The CP of the apple is?
Ifaequals the sum of the even integers from 2 to 60, inclusive, andbequals the sum of the odd integers from 1 to 59, inclusive, what is the value of a - b ?
The value of (1/log3 60 + 1/log4 60 + 1/log5 60) is:
Rich has 3 green, 2 red and 3 blue balls in a bag. He randomly picks 5 from the bag without replacement. What is the probability W that of the 5 drawn balls, Rich has picked 1 red, 2 green, and 2 blue balls?
Eight years ago, Ajay's age was 4/3 times that of Vijay. Eight years hence, Ajay's age will be 6/5 times that of Vijay. What is the present age of Ajay?
A, B and C start a business each investing 20,000. After 6 months A withdrew 5000, B withdrew 4000 and C invests 6000 more. At the end of the year, a total profit of 67,600 was recorded. Find the share of B.
In a fuel station the service costs $1.75 per car, every liter of fuel costs 0.65$. Assuming that a company owns 12 cars and that every fuel tank contains 45 liters and they are all empty, how much money total will it cost to fuel all cars?
The point A and point B is 30 miles apart, the point B and point C is 25 miles apart. A car travels from point A to point B in 30 min and point B to point C in 40 min. What is the average speed of the car?
The L.C.M of two numbers is 2310 and their H.C.F is 30. If one number is 385 the Other is
If n is a positive integer, which of the following is a possible value of |46 - 5n| ?
The length of a train and that of a platform are equal. If with a speed of 54 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is?
Sum of three numbers 286, If the first number be twice then second and third number be one third of the first, then the second number is
Rony walks along Sunrise Boulevard daily. He starts walking at 07:00 from block 10 and walks to block 90 where he turns around and walks back to block 70, where he stops at 07:20. The blocks along the boulevard are numbered sequentially (1,2,3), and each block measures 35 meters. What is Rony's speed in meters per minu...
Rs.1200 is divided so that 5 times the first share, 10 times the 2nd share and fifteen times third share amount to the same. What is the value of the second share?
Mohit sold an article for $12000. Had he offered a discount of 10% on the selling price, he would have earned a profit of 8%. What is the cost price of the article?
A cab driver 5 days income was $250, $400, $750, $400 , $500. Then his average income is?
The average weight of 25 persons sitting in a boat had some value. A new person added to them whose weight was 46 kg only. Due to his arrival, the average weight of all the persons decreased by 5 kg. Find the average weight of first 25 persons?
What is the next number of the following sequence. 3, 10, 13, 20, 23, 30,
A regular square is inscribed in a circle. If A and B are adjacent vertices of the pentagon and O is the center of the circle, what is the value of ∠OAB ?
5 noun, 4 verbs and 3 adjectives are written on blackboard.we can form sentence by choosing 1 from each available set without caring it makes sense or not.what is the number of ways of doing this??
The Coen family consists of a father, a mother, two children and a dog. A photographer is about to take the family's picture. How many different arrangements (of standing in a row) does the photographer have, if it is known that the father insists of standing by his first child?
If x < y < z and y-x > 1, where x is an even integer and y and z are odd integers, what is the least possible value of z - x?
A certain city with a population of 144,000 is to be divided into 11 voting districts , and no district is to have a population that is more than 10 percent greater than the population of any other district What is the minimum possible population that the least populated district could have ?
2, 6, 12, 20, 30, 42, 56, (...)
In what ratio must water be mixed with milk to gain 1623% on selling the mixture at cost price?
Two mixers and one T.V. cost Rs. 7000, while two T.V.s and a mixer cost Rs, 9800. The value of one T.V. is:
The cost C, in dollars, to remove p percent of a certain pollutant from a pond is estimated by using the formula C = 100,000p/(100 - p). According to this estimate, how much more would it cost to remove 90 percent of the pollutant from the pond than it would cost to remove 40 percent of the pollutant?
The average age of a class of 12 students is 8 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher
A man counted his animals, 80 heads and 280 legs (ducks and goats). how many goats are there?
A fisherman sells 300 fish for Rs. 9000 at a profit of Rs. 6 per fish. Find his cost price for one metre of cloth?
Pipe A can fill a tank in 6 hours, pipe B in 8 hours, and pipe C in 24 hours. If all the pipes are open, in how many hours will the tank be filled?
If x is the reciprocal of a positive integer, then the maximum value of x^y, where y = –x^2, is achieved when x is the reciprocal of
The area of an isosceles trapezoid with sides of length 5 and bases of length 9 and 15 is?
In what time will a train 200 m long cross an electric pole, it its speed be 144 km/hr?
The price of rice falls by 10%. How much rice can be bought now with the money that was sufficient to buy 20 kg of rice previously?
The total marks obtained by a student in Mathematics and Physics is 40 and his score in Chemistry is 20 marks more than that in Physics. Find the average marks scored in Mathamatics and Chemistry together.
Can you find a number such that if we multiply that number by 1 or 2 or 3 or 4 or 5 or 6, then the resultant number contains same all digits (of course in a different place)
On a partly cloudy day, Derek decides to walk back from work. When it is sunny, he walks at a speed of s miles/hr (s is an integer) and when it gets cloudy, he increases his speed to (s + 1) miles/hr. If his average speed for the entire distance is 2.8 miles/hr, what fraction E of the total distance did he cover while ...