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big_math_dataset

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Six years ago, the ratio of the ages of Kunal and Sagar was 6 : 5. Four years hence, the ratio of their ages will be 11 : 10. What is Sagar's age at present?
Two employees X and Y are paid a total of Rs. 616 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B's share?
In what time will a train 100 m long cross an electric pole, it its speed be 144 km/hr?
A cylindrical tank of diameter 35 cm is full of water. If 11 litres of water is drawn off, the water level in the tank will drop by:
If the area of a circle is 144pi square feet, find its circumference.
In how many ways can the six letters of the word "mammal" be arranged in a row?
a light flashes every 6 seconds, how many times will it flash in ? of an hour?
Suppose a game is played between two players A and B. On each turn of the game, exactly one of A or B gets a point. Suppose A is better than B and has a probability of 2/3 of getting a point on each turn of the game. The first person to get two points ahead in the game is the winner. What is the probability that A wins the game?
If the ratio of apples to bananas is 5 to 2 and the ratio of bananas to cucumbers is 1 to 3, what is the ratio of apples to cucumbers?
A man's speed with the current is 20 kmph and speed of the current is 3 kmph. The Man's speed against the current will be
Jake, Lena, Fred, John and Inna need to drive home from a corporate reception in an SUV that can seat 7 people. If only Inna or Jake can drive, how many seat allocations are possible?
A certain sum amounts to Rs.1725 in 3 years and Rs.1875 in 5 years. Find the rate % per annum?
Jaclyn buys $20 000 worth of debentures in a company. She earns 9.5% p.a. simple interest, paid to her quarterly (that is, every 3 months). If the agreed period of the debenture was 18 months: calculate the amount of interest Jaclyn will earn for each quarter
A train 280m long is running at 70kmph. In how much time will it pass a platform 210m long?
A person purchases 90 shirts and sells 40 shirts at a gain of 10% and 50 shirts at a gain of 20%. If he sold all of them at a uniform profit of 15%, then he would have got $40 less. The cost price of each shirt is:
A trained covered x km at 40 kmph and another 2x km at 20 kmph. Find the average speed of the train in covering the entire 3x km.
If 20 shirts can be purchased for 5 dollars, how many shirts can be purchased for 10 dollars?
How many seconds will a 500 meter long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
ABCD is a parallelogram on xy rectangular coordinate plane, three of the four vertices of parallelogram are (5,15) , (5,20) and (-5,15). Which can be the coordinate of fourth vertex?
If p/6 = r/2 and r = 0.75s, what is the ratio of p to r to s?
One year ago the ratio of Yamini’s and Gamini’s ages was 6 : 7 respectively. Four years hence this ratio would become 7 : 8. How old is Gamini?
A man buys 20 lts of liquid which contains 30% of the liquid and the rest is water. He then mixes it with 20 lts of another mixture with 20% of liquid. What is the % of water in the new mixture?
The base of a right triangle is 8 and hypotenuse is 10. Its area is?
At what price must an article costing Rs.75 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?
Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
A train speeds past a pole in 20 seconds and passes through a tunnel 500 m long in 40 seconds. Its length is :
In how many ways can 16 different gifts be divided among four children such that each child receives exactly three gifts?
The following sets each have a mean of 50 and the standard deviations are given in variable form. Set I = {20, 20, 20, 80, 80, 80}, standard deviation = A Set II = {20, 30, 40, 60, 70, 80}, standard deviation = B Set III = {50, 50, 50, 50, 50, 50}, standard deviation = C Rank these three standard deviations from least to greatest.
A can give B 100 meters start and C 170 meters start in a kilometer race. How much start can B give C in a kilometer race?
A Card marked 1 and 2 on its two faces. Two colors, white and black are used to paint the two faces of the card. If the card is painted with the different colors, in how many ways can the card be painted?
If the sample interest on a sum of money 20% per annum for 2 years is $400, find the compound interest on the same sum for the same period at the same rate?
A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office. In how many ways can the company assign 3 employees to 2 different offices?
A train covers a distance of 12 km in 10 min. If it takes 7 sec to pass a telegraph post, then the length of the train is?
Let y = 2m + x^2 and m = 5x + 2. If m^2 =49, then which of the following can be a value of 2y + 3m?
There were two candidates in an election. Winner candidate received 62% of votes and won the election by 288 votes. Find the number of votes casted to the winning candidate?
The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?
A trained covered x km at 40 kmph and another 2x km at 20 kmph. Find the average speed of the train in covering the entire 5x km.
A cube of side one meter length is cut into small cubes of side 10 cm each. How many such small cubes can be obtained?
An "integrated" team consists of 2 members from the engineering team and 2 members from the design team. If the engineering team has 6 members and the design team has 4 members, how many "integrated" team formations are possible?
A man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey?
A cycle is bought for Rs.900 and sold for Rs.1140, find the gain percent?
In one year, the population, of a village increased by 30% and in the next year, it decreased by 30%. If at the end of 2nd year, the population was 13650, what was it in the beginning?
The equation x = 2y^2 + 5y - 19, describes a parabola in the xy coordinate plane. If line l, with slope of 3, intersects the parabola in the upper-left quadrant at x = -5, the equation for l is
A man buys 50 pens at marked price of 46 pens from a whole seller. If he sells these pens giving a discount of 1% , what is the profit percent?
If a and b are each greater than x and y, which of the following must be true? I.|a| + |b| > |x| + |y| II. ab > xy III. a + b > x + y
If a tap could fill entire tank in 20 hrs due to leakage, then in how much time tank can be emptied by leakage if tap can fill entire tank in 12 hrs without leakage
What is the tenth digit of (5!*5! - 5!*3!)/5?
A man can row at 5 kmph in still water. If the velocity of the current is 1 kmph and it takes him 1 hour to row to a place and come back. how far is that place.
A man bought 10 crates of apples for $120 total. If he lost 2 of the crates, at what price would he have to sell each of the remaining crates in order to earn a total profit of 50 percent of the total cost?
If the quantity 3^4+ 3^6 + 3^8 is written as (a + b)(a – b), in which both a and b are integers, which of the following could be the value of b?
Balls of equal size are arranged in rows to form an equilateral triangle. the top most row consists of one ball, the 2nd row of two balls and so on. If 19 balls are added, then all the balls can be arranged in the shape of square and each of the sides of the square contain 8 balls less than the each side of the triangle did. How many balls made up the triangle?
The average of a couple was 28Yrs when they were married 5Yrs ago.The avg age of the couple and a child, who was born during the interval, is 23Yrs now. How old is the child now ?
If 8 men can reap 80 hectares in 24 days , then how many hectares can 36 men reap in 30 days?
What proximate value should come in place of the question mark (?) in the following question? 6.695 × 1084 + 2568.34 – 1708.34 = ?
The average of first 6 natural numbers is?
Twenty four men can do a work in 48 days. How many men are required to complete the work in 12 days?
A train 360 m long is running at a speed of 45 kmph.In what time will it pass a bridge 140 m long?
kumar saves 32% of his monthly salary. If he spends Rs. 27200, then find his savings?
When a whole no. n is divided by 4,we will get 3 as remainder. What will be the remainder if 2n is divided by 4?
Sn = n^2 + 5n + 94 and K = S6 – S5 + S4 – S3 - S2 + S1. What is the value of K?
A total of x tourists were transported by bus to a certain museum. If there were y tourists on each bus, which of the following expresses the number of buses used?
John bought a total of 16 Mangoes and Oranges. Each Mango costs 80 cents and each orange costs 60 cents. If the average price of the 16 mangoes and oranges that John originally purchased was 65 cents, then how many oranges needs to return to raise the average price of his purchase to 72 cents?
To mail a package, the rate is 10 cents for the first pound and 5 cents for each additional pound. Two packages weighing 4 pounds and 6 pounds, respectively can be mailed seperately or combined as one package. Which method is cheaper and how much money is saved?
The probability of Sam passing the exam is 1/5. The probability of Sam passing the exam and Michael passing the driving test is 1/6. What is the probability of Michael passing his driving test?
If the compound interest on an amount of Rs. 29000 in two years is Rs. 9352.5, what is the rate of interest?
Rs.8000 become Rs.8487.20 in a certain interval of time at the rate of 3% per annum of C.I. Find the time?
My watch gains 5 min every hour. How many degrees the second hand moves in every min?
Three candidates contested an election and received 1136, 7636 and 14000 votes respectively. What percentage of the total votes did the winning candidate get?
At the end of year 1998, Shepard bought nine dozen goats. Henceforth, every year he added p% of the goats at the beginning of the year and sold q% of the goats at the end of the year where p > 0 and q > 0. If Shepard had nine dozen goats at the end of year 2002, after making the sales for that year, which of the following is true?
A can do a certain job in 25 days which B alone can do in 20 days. A started the work and was joined by B after 10 days. The number of days taken in completing the wotk were ?
Suppose there is an outlet which is pouring water at a constant rate and is able to fill a swimming pool in nine hours. There is another outlet that is able to fill the pool in five hours. If we open both the outlets and let them pour the water together How many hours will it take to fill the pool ?
Carol is three times Alice’s age but only twice as old as Betty. Alice is twenty-four years younger than Carol. How old is Betty?
If the sides of a triangle are 9 cm, 16 cm and 19 cm, what is its area?
Three candidates contested an election and received 5000, 22000 and 34800 votes respectively. What percentage of the total votes did the winning candidate get ?
By selling an article at Rs.500, a profit of 25% is made. Find its cost price?
A group of college friends plan to rent a house together for x dollars per month, which is to be shared equally among them. If four, rather than six people rent the house together, how many more dollars, in terms of x, will each person have to pay for rent per month?
For any integer p, *p is equal to the product of all the integers between 1 and p, inclusive. How many prime numbers are there between *9 + 3 and *9 + 9, inclusive?
The average monthly salary of 8 workers and one supervisor in a factory was 430.@SSWhen@SSthe@SSsupervisor@CC@SSwhose@SSsalary@SSwas@SS430.@SSWhen@SSthe@SSsupervisor@CC@SSwhose@SSsalary@SSwas@SS430.Whenthesupervisor,whosesalarywas430. When the supervisor, whose salary was 870 per month, retired, a new person was appointed and then the average salary of 9 people was $$430 per month. The salary of the new supervisor is:
A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road?
Lionel left his house and walked towards Walt's house, 48 miles away. Two hours later, Walt left his house and ran towards Lionel's house. If Lionel's speed was 3 miles per hour and Walt's 4 miles per hour, how many miles had Lionel walked when he met Walt?
The average weight of 5 person's increases by 4 kg when a new person comes in place of one of them weighing 50kg. What is the weight of the new person?
The least perfect square, which is divisible by each of 21,36 and 66 is
X, Y and Z contract a work for Rs. 1100. X and Y together are to do 7/11 of the work. C’s share is:
What is the units digit of 63^3 * 17^3 * 49^3?
What is the present worth of Rs. 176 due in 2 years at 5% simple interest per annum?
If log 27 = 1.431, then the value of log 9 is:0.934 B. 0.945 C. 0.954 D. 0.958
There are 28 girls in hostel whose average age is decreased by 2 months, when one girl 18 yrs is replaced by a new boy.Find the age of new girl.
A tap can fill a tank in 2 hours. After half the tank is filled, two more similar taps are opened. What is the total time taken to fill the tank completely?
Given that E and F are events such that P(E) = 8, P(F) = 2 and P(E n F) = 8, find P (E|F) and P(F|E)
Two good train each 900 m long, are running in opposite directions on parallel tracks. Their speeds are 45 km / hr and 30 km /hr respectively. Find the time taken by the slower train to pass the driver of the faster one.
A dice has one of the first 7 prime number on each its six sides ,with no two sides having the same number .the dice is rolled 12 times and the results added.the addition is most likely to be closet to
A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
A man has Rs. 416 in the denominations of one-rupee notes, five-rupee notes and ten rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has?
If 18 is 15 percent of 35 percent of a certain number, what is the number?
The rupee/coin changing machine at a bank has a flaw. It gives 10 ten rupee notes if you put a 100 rupee note and 10 one rupee coins if you insert a 10 rupee note but gives 10 hundred rupee notes when you put a one rupee coin!Sivaji, after being ruined by his rivals in business is left with a one rupee coin and discovers the flaw in the machine by accident. By using the machine repeatedly, which of the following amounts is a valid amount that Sivaji can have when he gets tired and stops at some stage (assume that the machine has an infinite supply of notes and coins):
Pipe A can fill a tank in 3 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?
A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12100 after a year?
An intelligence agency decides on a code of 2 digits selected from 0, 1, 2, …, 9. But on the slip on which the code is hand written allows confusion between top and bottom, because there are indistinguishable. Thus, for example, the code 91 could be confused with 16. How many codes are there such that there is no possibility of any confusion?
If the product 4864 x 9 P 2 is divisible by 12, then the value of P is: