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big_math_dataset

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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?
A car dealership has 40 cars on the lot, 15% of which are silver. If the dealership receives a new shipment of 80 cars, 30% of which are not silver, what percentage of total number of cars are silver?
How many such 3's are there in the following number sequence which are immediately Preceded by an odd number and immediately followed by an even number? 5 3 8 9 4 3 7 2 3 8 1 3 8 4 2 3 5 7 3 4 2 3 6
If the range Q of the six numbers 4,3,14,7,10 and x is 12, what is the difference between the greatest possible value of x and least possible value of x?
Find the value of (√1.21)/(√0.81) + (√0.81)/(√0.49) is
There are 10person among whom 2are brother. The total no.of ways in which these persons can be seated around a round table so that exactly 1person sit between the brothers, is equal to?
By selling 50 meters of cloth. I gain the selling price of 15 meters. Find the gain percent?
The S.I. on a certain sum of money for 3 years at 8% per annum is half the C.I. on Rs. 4000 for 2 years at 10% per annum. The sum placed on S.I. is?
In a market, a dozen eggs cost as much as a pound of rice, and a half-liter of kerosene costs as much as 8 eggs. If the cost of each pound of rice is $0.33, then how many W cents does a liter of kerosene cost? [One dollar has 100 cents.]
Oak Street begins at Pine Street and runs directly east for 2 kilometers until it ends when it meets Maple Street. Oak Street is intersected every 400 meters by a perpendicular street, and each of those streets other than Pine Street and Maple Street is given a number beginning at 1st Street (one block east of Pine Street) and continuing consecutively (2nd Street, 3rd Street, etc...) until the highest-numbered street one block west of Maple Street. What is the highest-numbered street that intersects Oak Street?
A one-foot stick is marked in 1/3 and 1/4 portion. How many total markings will there be, including the end points?
The ratio between the present ages of P and Q is 5:7 respectively. If the difference between Q's present age and P's age after 6 years is 2. What is the total of P's and Q's present ages?
A team has to design a flag. The team has three yellow strips of cloth and four green strips of cloth that they must use as is to make the flag. How many different flags can the team design with the materials at hand?
John distributes his pencil among his 4 friends Rose, Mary, Ranjan, and Rohit in the ratio 1/4 : 1/3 :1/4:1/5 . What is the minimum no. of pencils that the person should have?
In a certain pet shop, the ratio of dogs to cats to bunnies in stock is 4 : 7 : 9. If the shop carries 364 dogs and bunnies total in stock, how many dogs are there?
Find the area, diameter = 11m.
The length and width of a rectangle are integer values. What is the area of the smallest such rectangle that can be inscribed in a circle whose radius is also an integer
A real estate agent received a 6% commission on the selling price of a house. If his commission was $8,880, what was the selling price of the house?
A car going at 40 miles per hour set out on an 90-mile trip at 9:00 A.M. Exactly 10 minutes later, a second car left from the same place and followed the same route. How fast, in miles per hour, was the second car going if it caught up with the first car at 10:30 A.M.?
If 10 lions can kill 10 deers in 10 minutes how long will it take 100 lions to kill 100 deers?
There is a total of 84 marbles in a box, each of which is red, green, blue, or white. If one marble is drawn from the box at random, the probability that it will be white is 1/4 and the probability that it will be green is 2/7. What is the probability that the marble will be either red or blue?
At a conference, the only events scheduled for the day are seminars and breaks. All seminars are the same length and are 10 times as long as each break. A break must be between two consecutive seminars. If the first seminar begins at 9:00 a.m. and the third one ends at 11:40 a.m., how long W will the conference last if there are a total of 6 seminars that day?
Which of the following triples of numbers have the same standard deviation as the numbers a, b, and c? I. a-2, b-2, c-2 II. 0, a-b, c-b III. a-4, b+5, c-1
In a class of 5 students, average weight of the 4 lightest students is 40 kgs, Average weight of the 4 heaviest students is 45 kgs. What is the difference between the the maximum and minimum possible average weight overall?
Two trains A and B starting from two points and travelling in opposite directions, reach their destinations 9 hours and 16 hours respectively after meeting each other. If the train A travels at 80kmph, find the rate at which the train B runs.
A train of length 250 m crosses a bridge of length 150m in 20 seconds. What is the speed of train?
The perimeter of a rhombus are 24 cm and 10 cm, the area and the perimeter of the rhombus is
In a series of six consecutive odd numbers, the sum of the second and fifth numbers is 28. What is the third number?
What will be the compound interest on a sum of Rs. 45,000 after 3 years at the rate of 12% p.a.?
x,y are odd and z is even then ((x^2+y^2)z^2)/8 is
'a' and 'b' are positive integers such that their LCM is 20 and their HCF is 1. What is the addition of the maximum and minimum possible values of 'a + b'?
The present population of a town is 1240. Population increase rate is 4% p.a. Find the population of town after 1 years?
Which of the following numbers doesn't have a divisor greater than 1 that is the square of an integer?
If g and f are both odd prime numbers andg < f, then how many different positive integer factors does2gfhave?
What is (25^7+25) / 25?
A started a business with an investment of Rs. 70000 and after 9 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 76000, then the share of B is?
If s,t ,and u are positive real numbers such that s(t+u) = 152, t(u+s) =162 , and u(s+t) = 170, then stu is
During a Thanksgiving weekend, a car rental company rented six-tenths of their vehicles, including two-fifths of the 4WDs that it had. If 40% of the vehicles are 4WDs, then what percent of the vehicles that were not rented were not 4WDs?
Jack needs to arrive at the flower shop before 2 p.m, and the car rental by 3:30 pm, before he picks Sally up for their date at 5:30. It is now 12 p.m. the flower shop is 1.2 miles from Jacks house. He walks at a pace of 3.1 miles per hour. The flower shop is about .6 miles from the car rental shop, where Jack must walk to next. He can then drive the last 4.3 miles to Sallys house with an approx speed of 35 mph. When should he leave for each destination, in order based on the distance between stops Jack's walking speed, and finally the travel in the car?
Evaluate: 6302.5 + 630.25 + 63.025 + 6.3025 + 0.63025
What approximate value should come in place of question mark (?) in the following equation 287.532 + 1894.029 – 657.48 = 743.095 + ?
The cost of producing x tools by a company is given by C(x) = 1000 x + 5500 (in $) a) What is the cost of 100 tools?
A person buys an article at Rs.400. At what price should he sell the article so as to make a profit of 40%?
The average of 6 no.'s is 3.95. The average of 2of them is 3.8, while the average of theother 2 is 3.85. What is the average of the remaining 2 no's?
Two MBA admissions committees are to be formed randomly from 6 second year MBAs with 3 members each. What is the probability Q that Jane will be on the same committee as Albert?
Find large number from below 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
If z = 343 * 64 * 9 / 63, Find the unit digit of z,
A circular well with a diameter of 4 metres , is dug to a depth of 24 metres. What is the volume of the earth dug out?
A car traveling at a certain constant speed takes 10 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 40 kilometers per hour. At what speed, in kilometers per hour, is the car traveling?
A shopkeeper has 280 kg of apples. He sells 40% of these at 20% profit and remaining 60% at 20% profit. Find his % profit on total.
A shopkeeper purchased 70 kg of potatoes for Rs. 420 and sold the whole lot at the rate of Rs. 6.50 per kg. What will be his gain percent?
The average of 25 result is 18.The average of 1st 12 of them is 14 & that of last 12 is 17.Find the 13th result.
If shares of two persons in profits are Rs.600 and Rs.300 then ratio of their capitals is
There are ten players in the basketball team. If the average height of the players is 170 cm, what will be the new average height if a 192 cm player will join the team?
The speed of a boat in upstream is 60 kmph and the speed of the boat downstream is 90 kmph. Find the speed of the boat in still water and the speed of the stream?
The total age of A and B is 15 years more than the total age of B and C. C is how many year younger than
A shopkeeper sold 10articles at the cost price of 8 articles. Then find the profit% or lost% ?
The total age of A and B is 18 years more than the total age of B and C. C is how many years younger than A ?
Working individually, Emma can wrap presents for 6 hours and Troy can wrap presents in 8 hours. If Emma and Troy work together but independently at the task for 2 hours, at which point Troy leaves, how many remaining hours will it take Emma to complete the task alone?
Find the value of (100+ 20/90) × 90
A rainstorm increased the amount of water stored in State J reservoirs from 124 billion gallons to 140 billion gallons. If the storm increased the amount of water in the reservoirs to 80 percent of total capacity, approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm?
An inspector rejects 15% of the meters as defective. How many will he examine to reject 15?
If f(x) = x - 4, then (f o f)(3) = ?
The sum of all solutions for x in the equation x^2 – 8x + 21 = |x – 4|+ 7 is equal to:
A 40-liter solution of alcohol and water is 5 percent alcohol. If 2.5 liters of alcohol and 7.5 liters of water are added to this solution, what percent of the solution produced is alcohol?
Timmy and Tommy Pumpernickel are leaving home for college today. Peter and Patty Pumpernickel stand and wave goodbye as their pride and joy head off to schools at opposite ends of the state. If Timmy drives a slow 45 miles/ hour and Tommy "the lead foot" Pumpernickel drives a jaw dropping 75 miles per hour, how long until they are 500 miles away from one another?
A man has $ 10,000 to invest. He invests $ 4000 at 5 % and $ 3500 at 4 %. In order to have a yearly income of $ 500, he must invest the remainder at
There are 6 boxes numbered 1, 2, ... 6. Each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. The total number of ways in which this can be done is:
If 20 men can build a wall 112 metres long in 6 days, what length of a similar wall can be built by 15 men in 3 days?
A palindrome is a number that reads the same forward and backward, such as 242. How many even thirteen-digit numbers are palindromes?
A rectangular table seats 8 people on each of two sides, with every person directly facing another person across the table. If 16 people choose their seats at random, what is probability that person P directly faces person Q?
A certain stock exchange designates each stock with a 1, 2 or 3 letter code, where each letter is selected from the 8 letters of the alphabet. If the letters may be repeated and if the same letters used in a different order, constitute a different code, how many diff stocks is it possible to designate with these codes?
What approximate value should come in place of the a in the following equation? 10% of 6275 + 20% of 7584 = a
The mark up between "normal plan" price and "premium plan" price is 30 percent of the "normal plan" price. The markup is what percent of the "premium plan" price ? (markup = difference between normal and premium price plans)
Car X began traveling at an average speed of 35 miles per hour. After 72 minutes, car Y began traveling at an average speed of 42 miles per hour. When both cars had traveled the same distance, both cars stopped. How many miles did car X travel from the time car Y began traveling until both cars stopped?
The ratio between the school ages of Neelam and Shaan is 5:6 respectively. If the ratio between the one-third age of Neelam and half of Shaan's age of 5:9, then what is the school age of Shaan?
let p be the product of the positive integers between 1 and 7 inclusive. How many distinct prime factors does p have?
The ratio of investments of two partners P and Q is 7:5 and the ratio of their profits is 7:10. If P invested the money for 5 months, find for how much time did Q invest the money?
For each of her sales, a saleswoman receives a commission equal to 20 percent of the first $500 of the total amount of the sale, plus 40 percent of the total amount in excess of $500. If the total amount of one of her sales was $800, the saleswoman’s commission was approximately what percent of the total amount of the sale?
If abc ≠ 1 and the sum of the reciprocals of a, b, and c equals the reciprocal of the product of a, b, and c, then a =
g(x) is defined as the product of all even integers k such that 0 < k ≤ x. For example, g(14) = 2 × 4 × 6 × 8 × 10 × 12 × 14. If g(z) is divisible by 4^11, what is the smallest possible value for z?
A certain list of 300 test scores has an arithmetic mean of 75 and a standard deviation of d, where d is positive. Which of the following two test scores, when added to the list, must result in a list of 301 test scores with a standard deviation less than d?
For all positive integers n and m, the function A(n) equals the following product: (1 + 1/2 + 1/2^2)(1 + 1/3 + 3^2)(1 + 1/9 + 9^2)…(1 + 1/p_n + 1/p_n^2), where p_n is the nth smallest prime number, while B(m) equals the sum of the reciprocals of all the positive integers from 1 through m, inclusive. The largest reciprocal of an integer in the sum that B(25) represents that is NOT present in the distributed expansion of A(5) is
If s and t are positive integers such that s/t = 64.15, which of the following could be the remainder when s is divided by t ?
In Town X, 96 percent of the population are employed, and 24 percent of the population are employed males. What percent of the employed people in Town X are females?
On Charlie's cell phone plan, he signed up for 8GB of data per 4 week period. If he went over the 8GB per month, it would cost him an extra $10.00 per GB. In the first week, he used 2 GB; in the 2nd week, he used 3 GB; in the 3rd week, he used 5 GB; and in the 4th week, he used a whopping 10GB. How much extra did Charlie need to pay on his cell phone bill?
The ratio between the speeds of two trains is 3: 4. If the second train runs 400 kms in 6 hours, then the speed of the first train is ?
In how many different number of ways 6 men and 2 women can sit on a shopa which can accommodate persons?
If 2994 ÷ 14.5 = 173, then 29.94 ÷ 1.45 = ?
1764 can be expressed as a product of primes as
There are 600 boys in a hostel. Each plays either hockey or football or both. If 75% play hockey and 35% play football, how many play both?
A volume of 10936 l water is in a container of sphere. How many hemisphere of volume 4l each will be required to transfer all the water into the small hemispheres?
The unit digit in the product (624 * 708 * 913 * 463) is:
In business, A and C invested amounts in the ratio 3:2, whereas the ratio between amounts invested by A and B was 3:1, If Rs 60000 was their profit, how much amount did C receive.
The average of four positive integers is 69. The highest integer is 93 and the least integer is 39. The difference between the remaining two integers is 28. Which of the following integers is the higher of the remaining two integers?
3 men, 4 women and 6 children can complete a work in 7 days. A woman does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 7 days?
If GAVE is coded as 4657 and RAT is coded as 333. How is GATE coded?
The perimeter of an isosceles right triangle is 4 + 4 sq rt 2. What is the length of the hypotenuse of the triangle?
If the numerator of a fraction is increased by 2 and the denominator is increased by 1, the fraction becomes 5⁄8 and if the numerator of the same fraction is increased by 3 and the denominator is increased by I the fraction becomes 3⁄4. What is the original fraction?
A city had 400 migrants in the year 2000. Since then, The number of migrants in a countrythe city has doubled every 3 years. If there were 400 migrants in the country in the year 2000, What was the increase in the population of migrants during the period from 2009 to 2012?