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big_math_dataset

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Two trains, each 100 m long, moving in opposite directions, cross other in 8 sec. If one is moving twice as fast the other, then the speed of the faster train is?
If a - b = 6 and a2 + b2 = 48, find the value of ab.
The average monthly income of A and B is Rs. 5050. The average monthly income of B and C is Rs. 6250 and the average monthly income of A and C is Rs. 5200. What is the monthly income of A?
Express the ratio 3 2/3 : 7 1/3 in its simplest form.
If k is a positive integer, which of the following must be divisible by 27?
Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 2.10 km and 1.4 km respectively. The time taken by the slower train to cross the faster train in seconds is?
What is the unit digit in {(6374)1793 x (625)317 x (341491)}?
Last year a worker saved 10% of her annual salary. This year, she made 10% more money than last year and she saved 12% of her salary. The amount she saved this year was what percent of the amount she saved last year?
Today is Thursday. The day after 59 days will be?
Father is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:
4/15 of 5/7 of a number is greater than 4/9 of 2/5 of the same number by 24. What is half of that number?
If pq > 0, which of the following must be negative?
The ratio between the length and the breadth of a rectangular park is 3:2. If a man cycling along theboundary of the park at the speed of 12 km/hr completes one round in 8 min, then the area of the park (in sq. m) is?
A can give B 150 meters start and C 300 meters start in a kilometer race. How much start can B give C in a kilometer race?
It is being given that (232 + 1) is completely divisible by a whole number. Which of the following numbers is completely divisible by this number?
The population of a town is 10000. It increases annually at the rate of 20% p.a. What will be its population after 2 years?
A=√[2√63 + 2/(8+3√7)] =
A train 100 m long crosses a platform 180 m long in 14 sec; find the speed of the train?
As x increases from 169 to 155, which of the following must increase? I. 2x - 5 II. 1 - 1/x III. 1/(x^2 - x)
Find the sum The difference between the compound and S.I. on a certain sum of money for 2 years at 10% per annum is Rs.15of money?
Suppose you flip a fair coin five times. What is the probability that, in five flips, you get at least one head?
What is the number of 7-element subsets of the set {1, 2, 3, 4, 5, 6, 7, 8, 9} for which the sum of those 7 elements is a multiple of 3 ?
A dishonest dealer professes to sell goods at the cost price but uses a weight of 900 grams per kg, what is his percent?
A bag holds 2 blue marbles and 3 green marbles. If you removed two randomly selected marbles from the bag, without replacement, what is the probability that both would be blue?
If n is an integer greater than 6, which of the following must be divisible by 2?
The original price of a car was $25,000. Because the car owner thought he could get more money for the car, he set a new price by increasing the original price of the car by 5%. After a week, the car had not sold, so the owner discounted the new price by 5%, and the car was finally sold. What price was the car sold for?
The average of first seven prime numbers:
A certain manufacturer produces items for which the production costs consist of annual fixed costs totaling $130,000 and variables costs averaging $8 per item. If the manufacturer’s selling price per item is $12, how many items the manufacturer produce and sell to earn an annual profit of $140,000?
Kanul spent $3000 in buying raw materials, $1000 in buying machinery and 30% of the total amount he had as cash with him. What was the total amount?
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)?
If d is an even integer and d/18 is an odd integer, which of the following is NOT an even integer?
The largest 4 digit number exactly divisible by 88 is:
A chemist mixes one liter of pure water with x liters of a 60% salt solution, and the resulting mixture is a 10% salt solution. What is the value of x?
Which of the following data sets has the smallest standard deviation?
A cow is tethered in the middle of a field with a 14 feet long rope. If the cow grazes 100 sq.ft. per day, then approximately what time will be taken by the cow to graze the whole field?
The digit in the unit’s place of a number is equal to the digit in the ten’s place of half of that number and the digit in the ten’s place of that number is less than the digit in unit’s place of half of the number by 1. If the sum of the digits of number is 7, then what is the number
A local bank that has 14 branches uses a two-digit code to represent each of its branches. The same integer can be used for both digits of a code, and a pair of two-digit numbers that are the reverse of each other (such as 17 and 71) are considered as two separate codes. What is the fewest number of different integers required for the 14 codes?
Marie's seafood restaurant gets a delivery of fresh seafood every day, 7 days per week, and her delivery company charges herddollars per delivery plusccents per item delivered. If lst week Sarah's seafood restaurant had an average ofxitems per day delivered, then which of the following is the total cost, in dollars, of last week's deliveries ?
A merchant has 1000 kg of sugar part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The Quantity sold at 18% profit is?
A motorcyclist goes from Bombay to Pune, a distance of 256 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?
A clothing store originally bought 100 jackets at a total cost of j dollars. If each jacket was sold for 20 percent more than its original cost, what was the individual price, in terms of j, of each jacket sold?
If R is an integer greater than 6, which of the following must be divisible by 3?
The C.P of 10 pens is equal to the S.P of 12 pens. Find his gain % or loss%?
If two numbers x, a perfect square and y, a perfect cube are added results a two digit number, whose digits if reversed, difference is 72, Find x and y ?
A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good?
Concentrated grapes juice comes inside a cylinder tube with a radius of 2.5 inches and a height of 15 inches. The tubes are packed into wooden boxes, each with dimensions of 11 inches by 10 inches by 31 inches. How many tubes of concentrated grapes juice, at the most, can fit into 3 wooden boxes?
If x dollars is invested at 10 percent for one year and y dollars is invested at 8 percent for one year, the annual income from the 10 percent investment will exceed the annual income from the 8 percent investment by $74. If $2,000 is the total amount invested, how much is invested at 8 percent?
Find the value of (2 − 1/3) (1 − 1/4)(1 − 1/5)……… (1 − 1/99)(1 − 1/100)
At McDonalds you can order Chicken McNuggets in boxes of 6, 9, and 20. What is the largest number such that you can not order any combination of the above to achieve exactly the number you want?
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
By how much is three-fifth of 620 greater than four- seventh of 210 ?
A man is walking at the rate of 9 km/hr crosses a bridge in 15 minutes. The length of the bridge is
which one is odd? 4377 3954 9863 8454 9831
It takes Beth 9 minutes to do one oil change, and it takes Logan 12 minutes. At 4:56 pm, they both finish an oil change simultaneously. If Beth and Logan both began doing oil changes at exactly the same time and worked without pausing, when did they both start doing oil changes?
A man can row with a speed of 30 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?
Every Sunday, Giri jogs 3 miles. For the rest of the week, each day he jogs 1 mile more than the previous day. How many miles does giri jog in 2 weeks ?
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.83. How much was lent at 5%?
Sam and Nik start from A and B respectively at the same time and travel towards each other at constant speeds along the same route. After meeting at a point between A and B, Sam and Nik proceed to their destinations of B and A respectively. Sam reaches B 60 minutes after the two meet and Nik reaches A 90 minutes after their meeting. How long did Sam take to cover the distance between A and B?
If log 27 = 1.431, then the value of log 9 is:
What do you get if you add 7 to 290 three times?
On taking delivery of a consignment of eggs the market stall owner was furious to find that several were cracked. In fact, on counting them up in order to assess the damage he found that 72 were cracked, which was 12 per cent of the total consignment. How many eggs in total were in the consignment?
A train 275 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
A rectangular circuit board is designed to have width w inches, perimeter p inches, and area q square inches. Which of the following equations must be true?
If neha is 10 Both Sonali and priyanka is 15 Both sadaf and tanu is 10. how much is prinka by the same system ?
15 people can write 90 book in 20 days working 7 hour a day.then in how many day 240 can be written by 72 people?
A rectangular-shaped carpet remnant that measures x feet by y feet is priced at $80. What is the cost of the carpet, in dollars per square yard? (9 square feet = 1 square yard)
A 12 month project had a total budget of $24,000. After seven months, the project had spent $12,500. At this point, how much was the project under budget?
A cube has two of its faces painted half red and half white. The other faces are completely painted white. What is the ratio between the red painted areas and the white painted areas of the cube?
In a hostel there were 100 students. To accommodate 20 more students the average is decreased by rupees 5. But total expenditure increased by Rs.400. Find the total expenditure of the hostel now?
In a bank investment compounds annually at an interest rate of 34.1% What is the smallest investment period by which time the investment will more than triple in value?
What is the tens digit of 6^18?
A and B together invested Rs. 15,000 in a business. At the end of the year, out of total profit is Rs. 2,000 B's share was Rs. 600. A's investment was
By selling 50 meters of cloth. I gain the selling price of 15 meters. Find the gain percent?
The average age of a committee of 8 members is 36 years. A member aged 55 years retired and his place was taken by another member aged 39 years . The average age of present committee is;
Set S contains exactly 10 numbers and has an average (arithmetic mean) of 6.2. If one of the numbers in Set S is increased by 6, while all other numbers remain the same, what is the new average of Set S?
Car A is 10 miles behind car B, which is traveling in the same direction along the same route as Car A.Car A is traveling at a constant speed of 58 miles per hour and Car Bis traveling at a constant speed of 50miles per hour.How many hours will it take for Car A to overtake and drive 8 miles ahead of Car B?
If a/b = 4/3, Then (3a + 2b) / (3a - 2b) = ?
The positive two-digit integers p and q have the same digits, but in reverse order. Which of the following must be a factor of p + q?
P runs 20% faster than Q so P gives Q a 50 meter head start. If the race ends in a tie, how far (in meters) did P run in the race?
A Cricketer makes a score of 134 runs in the 22nd inning and thus increases his average by 3.5. Find his average after 22nd inning.
Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest?
If x and y are three-digit integers such that x > 400 and y<700, which of the following is closest to the maximum possible value of xy ?
A person covers a distance in 12 minutes. If runs at a speed of 12 km per hour on an average. Find the speed at which he must run to reduce the time of journey to 5 minutes.
How many number of 4 digits can be formed with the digits 1,2,3,4,5 if repetition of digits is not allowed?
You have a pair of unbiased dices. You throw them together till you get a sum of 4 or 7. What is the probability that you get a sum of 4 before the sum of 7?
Marge has C candies, where C is an integer such that 20 <C< 50. If Marge divides the candies equally among 5 children, she will have 2 candies remaining. If she divides the candies among 6 children, she will have 1 candy remaining. How many candies will remain if she divides the candies among 7 children?
A,B,and C were started a business, the total profit for one year is $56700.The profit sharing ratio is 8:9:10 (according to their investment they divide their profit).what is the profit of c?
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?
The distance between 2 cities A and B is 1000km. A train starts from A at 11 a.m. and travels towards B at 100 km/hr. Another starts from B at 12 P.m. and travels towards A at 150 km/hr. At what time do they meet?
One third of a two digit number exceeds its one fourth by 3. What is the sum of the digits of the number?
Find the one which does not belong to that group ?
If c = (1/4)a and b = 3c, then which of the following represents the result of a^2+b^2+c^2 in terms of c
If -13 < 7x + 1 < 29 and 19 < 2 - b < 23, what is the maximum possible integer value of x + y?
How many even number in the range between 15 to 100 inclusive are not divisible by 3
On a certain road, 20% of the motorists exceed the posted speed limit and receive speeding tickets, but 20% of the motorists who exceed the posted speed limit do not receive speeding tickets. What percent of the motorists on that road exceed the posted speed limit?
In 1970 there were 8,902 women stockbrokers in the United States. By 1978 the number had increased to 23,947. Approximately what was the percent increase?
If 2x = 3y = 20, then 12xy = ?
Two trains of equal lengths take 10 sec and 15 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction?
The value of AA+A(2A)(A)when A =4 is:
The fourth proportional to 12, 14 and 18 is?