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big_math_dataset

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The average salary per head of the entire staff of an office including the officers and clerks is Rs.90. The average salary of officers is Rs.600 and that of the clerks is Rs.84. If the number of officers is 2, find the number of officers in the office?
(1+0.0001)/(0.00004+1) The value of the expression above is closet to which of the following?
49 * 49 * 49 * 49 = 7?
One fourth of a solution that was 10% salt by weight was replaced by a second solution resulting in a solution that was 16 percent sugar by weight. The second solution was what percent salt by weight?
If a, b, c are consecutive positive integers and b<a<c, which of the following must be true? I. c-b=2 II. abc is an even integer III. (a+b+c)/3 is an integer
A tank has both an inlet pipe and an outlet pipe. Working alone, the inlet pipe can fill up the tank in 5 hours. Working alone, the outlet pipe can empty out the tank in 15 hours. If it is desired that the tank should be filled, from empty, exactly 7 hours after the inlet pipe is turned on at 9:30am, then at what time ...
The largest 4 digit number exactly divisible by 88 is?
An entrance exam question paper consists of five problems, each problem having three choices. In how many ways can a student attempt one or more problems?
A man can hit a target once in 5 shots. If he fires 4 shots in succession, how many ways that he will hit his target?
One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in
Average age of 9 members of a club is 29 years. If 2 more persons with the average age of 40 years have become the members of the club, find average age of all the 11 members.
A city had 600 migrants in the year 2000. Since then, The number of migrants in a countrythe city has doubled every 3 years. If there were 600 migrants in the country in the year 2000, What was the increase in the population of migrants during the period from 2009 to 2012?
how many 3 digit numbers can be formed by using 2,4 and 5 such that product of the digits of numbers become even...
In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 4 boys when a boy gets any no. of prizes?
4,5,9,18,34,?
Pipe A can fill a tank in 8 hours, pipe B in 16 hours and pipe C in 48 hours. If all the pipes are open,in how many hours will the tank be filled ?
A certain amount earns simple interest of 1750 after 7 years Had the interest been 2% more, how much more interest would it have earned?
A car runs at the speed of 30 km per hour when not serviced and runs at 120 kmph when serviced. After servicing the car covers a certain distance in 8 hours. How much time will the car take to cover the same distance when not serviced?
For any numbers a and b, a#b = ab(4 − b). If a and a#b both represent positive numbers, which of the following could be a value of b?
A can give B 100 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?
10% of (50% of $500) is?
Let's say in a lottery John have a 4% chance of winning the jackpot. All lined up and 1st four people on the line lose. John is 5th in the row. What's the chance of John winning now?
A,B,C invested some money such that capital of C is half of B and capital of B is half of A. If they get a profit of Rs.7000 then profit share of B is
The average monthly salary of 24 employees in an organisation is Rs. 1500. If the manager's salary is added, then the average salary increases by Rs. 400. What is the manager's monthly salary ?
If x is a positive integer such that x3 + 8x2 + 12x-385 = 0, then x is
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red?
A bicycle wheel has a diameter of 0.81m. How many complete revolutions does it make in 1km?
We have 8 people and 5 chairs. In how many ways chairs can be occupy?
there r 5 papers Ratio of marks obtained in each subject is 6:7:8:9:10. Total marks obtained is 60%. 50% is pass marks. In how many subjects did he get above 50%.
Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800, Deepak's share is:
Dara ran on a treadmill that had a readout indicating the time remaining in her exercise session. When the readout indicated 24 min 18 sec, she had completed 10% of her exercise session. The readout indicated which of the following when she had completed 40% of her exercise session?
Mike weighs twice as much as Mary. Mike's weight is 150% of Michelle's weight. Alan weighs 20% more than Charlie. Charlie weighs 170% of Mary's weight. Which of these 5 people weighs the highest?
Rahim bought 65 books for Rs.1150 from one shop and 50 books for Rs.920 from another. What is the average price he paid per book ?
At what price must an article costing Rs.66.5 be marked in order that after deducting 5% from the list price. It may be sold at a profit of 25% on the cost price?
What is the CP of Rs 100 stock at 5 discount, with 1/5% brokerage?
A take twice as much time as B or thrice as much time to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in?
Of the 40 animals at the shelter, 20 percent are cats. How many dogs must be adopted in order to bring the number of cats up to 50 percent of the animals in the shelter?
A bus covers a certain distance at a speed of 54 kmph excluding stoppages and 45 kmph including stoppages.for how many minutes does the bus stop per hour?
In a lottery, there are 11 prizes and 55 blanks. A lottery is drawn at random. What is the probability of getting a prize?
Nitin's age was equal to square of some number last year and the following year it would be cube of a number. If again Nitin's age has to be equal to the cube of some number, then for how long he will have to wait?
The probability of a team winning a match given Matt is playing the match is 0.75. The probability of the team winning a match given Matt is not playing the match is 0.5. The probability of Matt playing any match is 0.8. If it is known that the team has won the last match, what is the probability that Matt played the m...
A trader marked the price of a car 20% above the cost price and allowed the purchaser 5% discount on the marked price there by gained $8400. Find the cost price of the Bike?
A solution of 66 litres contains milk and water in the ratio 7:x. If four litres of water is added to the solution, the ratio becomes 3:2, find the value of x?
Unit size cubes are stacked inside a big rectangular box having dimensions corresponding to three consecutive multiples of 5. Choose exact number of cubes that can completely fill the box.
The value of a machine depreciates at 20% per annum. If its present value is Rs. 1,50,000, at what price should it be sold after two years such that a profit of Rs. 28,000 is made?
The difference between the two digit number and the number obtained by interchanging its digits is 54. The difference between the digits is?
Thirty percent of the women in a college class are science majors, and the non-science majors make up 60% of the class. What percentage of the men are science majors if 40% of the class are men?
Two trains start simultaneously from opposite ends of a 150-km route and travel toward each other on parallel tracks. Train X, traveling at a constant rate, completes the 150-km trip in 4 hours. Train Y, travelling at a constant rate, completes the 150-km trip in 3.5 hours. How many kilometers had Train X traveled when...
Some items were bought at 6 items for Rs. 5 and sold at 5 items for Rs. 6. What is the gain percentage?
In how many different ways can the letters of the word 'DANCING' be arranged in such a way that the vowels always come together?
How many even number in the range between 20 to 100 inclusive are not divisible by 3
The area of a square field is 64816 sq m. How long will a lady take to cross the field diagonally at the rate of 7.2 km/hr?
What is the lowest possible common multiple of 2 distinct integers, each greater than 150?
From a group of 6boys&4girls a Committee of 4 persons is to be formed. In how many different ways can it be done, so that the committee has at least 2 boys?
A man sells an article at 5% profit. If he had bought it at 5% less and sold it for 1 less, he would have gained 10%. The cost price of the article is :
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red?
A circle graph shows how the budget of a certain company was spent: 55 percent for salaries, 9 percent for research and development, 5 percent for utilities, 4 percent for equipment, 2 percent for supplies, and the remainder for transportation. If the area of each sector of the graph is proportional to the percent of t...
In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?
The digits of a two-digit number differ by six. Find the difference of the number and the number formed by reversing its digits?
A 12% stock yielding 10% is quoted at:
A fort had provision of food for 150 men for 45 days. After 10 days, 25 men left the fort. The number of days for which the remaining food will last, is:
The total car population in a Mumbai is 2,94,00 out of which 1,50,00 are made by Honda. Out of every 100 Honda cars, 98 are red in color, but only 53% of the total car population is red. Find the % of non-Honda cars that are red
A reduction of 20% in the price of salt enables a lady to obtain 25 kgs more for Rs.100, find the original price per kg?
At a loading dock, each worker on the night crew loaded 3/4 as many boxes as each worker on the day crew. If the night crew has 2/3 as many workers as the day crew, what fraction of all the boxes loaded by the two crews did the day crew load?
The cost to rent a small bus for a trip is x dollars, which is to be shared equally among the people taking the trip. If 10 people take the trip rather than 14, how many more dollars, in terms of x, will it cost per person?
If each side of a square is increased by 25%, find the percentage change in its area?
In how many ways can the letters of wordTREATMENTbe arranged such that all the Consonants always appear together?
In right triangle ABC, AC is the hypotenuse. If AC is 40 and AB + BC = 60, what is the area of the triangle ABC?
Ramu bought an old car for Rs. 42000. He spent Rs. 13000 on repairs and sold it for Rs. 64900. What is his profit percent?
The apartment on King-Williams street is an asset that its value is tramping about. From the year 1973 to 1983 it's value decreased by 16% and from 1983 to 1993 it's value increased by 16%. What is the value of the asset in 1993 if in 1973 it was worth $50,000?
Two boys starts from the same place walking at the rate of 5 kmph and 5.5 kmph respectively in the same direction. What time will they take to be 8.5 km apart?
A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train?
Rounded to three decimal places, 1.005^4 =
A solution of X pounds of water and sugar is boiled until 20% of the water content evaporates. Originally r% of sugar was present in the solution. After evaporation, what percentage of the solution is sugar?
In the coordinate plane a slope of the line K is 3/2 times the y-intercept of the line K. What is the x-intercept of the line K?
Rahul went to a shop and bought things worth Rs. 30, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Today is Wednesday. After 36 days, it will be :
n May Mrs Lee's earnings were 60 percent of the Lee family's total income. In June Mrs Lee earned 20 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 ?
A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 60 km downstream?
A man rows down stream 32km and 14 km upstream. if he takes 6 hrs to covereach distance, then the velocity of the current is
A large box contains 20 small boxes and each small box contains 25 chocolate bars. How many chocolate bars are in the large box?
The average of 9 numbers is 8 and the average of 7 other numbers is 6. What is the average of all 16 numbers?
A trader sold an article on a certain price with 40% profit. If he sold double of previous selling price then find its profit %
length =9 feet breadth =37−9/2=14 feet Area =9×14=126 square feet
A certain shade of gray paint is obtained by mixing 3 parts of white paint with 5 parts of black paint. If 2 gallons of the mixture is needed and the individual colors can be purchased only in one gallon or half gallon cans, what is the least amount Q of paint, in gallons, that must be purchased in order to measure out...
If log 27 = 1.497, then the value of log 9 is:
A man rides at the rate of 50km/hr. But stops 30minutes to change horses at the end of every 25th kilometer. How long will he take to go a distance of 250 kilometers?
The average of marks obtained by 120candidates was 35. If the avg of marks of passed candidates was 39 and that of failed candidates was 39 and that of failed candidates was 15, the no.of candidates who passed the examination is?
Peter invests a sum of money and gets back an amount of $ 815 in 3 years . David invests an equal amount of money and gets an amount of $870 in 4 years. If both amounts were invested at the same rate (simple interest ) What was the sum of money invested ?
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 m cube) is:
The average of first five multiples of 5 is
At what rate of CI per year will a sum of Rs. 1200 become Rs. 1348.32 in 2 years?
40 percent of the ducks included in a certain side effects study were male. If some of the ducks had side effects during the study and 10 percent of the ducks who had side effects were male, what was the ratio of the side effect rate for the male ducks to the side effect rate for the female ducks?
John had a stock of 900 books in his bookshop. He sold 75 on Monday, 50 on Tuesday, 64 on Wednesday, 78 on Thursday and 135 on Friday. What percentage of the books were not sold?
If (x - 1)(x - 2) = x^2 + x, what is a possible value of x?
A pump can fill a tank with water in 2 hours. Because of a leak, it took 2 1/6 hours to fill the tank. The leak can drain all the water of the tank in?
6, 11, 21, 36, 56, 81, 111, 146, 186, ?
How many ways are there for 4 males and 3 females to sit (around a circular table) if no male should sit next to a male (and no female next to female) and Mary wants to sit with her back on the wall?
A completes a work in 12 days and B complete the same work in 18 days. If both of them work together, then the number of days required to complete the work will be
On Saturday morning, Malachi will begin a camping vacation and he will return home at the end of the first day on which it rains. If on the first three days of the vacation the probability of rain on each day is 0.4, what is the probability that Malachi will return home at the end of the day on the following Monday?