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big_math_dataset

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A starts business with Rs. 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is B's contribution in the capital?
A train running at a speed of 36 kmph crosses an electric pole in 12 seconds. In how much time will it cross a 330 m long platform?
Find the fourth proportion to 5,10,15
In a carton containing a dozen mirrors is dropped, which of the following cannot be the ratio of broken mirrors to unbroken mirrors?
7, 26, 63, 124, 215, 342, (....)
For any positive integer n, the sum of the first n positive integers equals n(n+1)/2. What is the sum x of all the even integers between 99 and 301?
A boat covers a certain distance downstream in 1 hour, while it comes back in 11⁄2 hours. If the speed of the stream be 3 kmph, what is the speed of the boat in still water?
Find the area of the quadrilateral of one of its diagonals is 20 cm and its off sets 9 cm and 6 cm?
In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 100, the dividend is:
The length of the bridge, which a train 140 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
The ages of 2 persons differ by 35 years. If 10 years ago the elder one be 6 times as old as the younger one, find the present age of elder person.
A painting crew painted 80 houses. They painted the first y houses at a rate of x houses per week. Then more painters arrived and everyone worked together to paint the remaining houses at a rate of 6.25x houses per week. How many weeks did it take to paint all 80 houses, in terms of x and y?
What is the next number of the following sequence 2, 12, 4, 24, 8, 48, (...)
A committee has 5 men and 6 women. What are the number of ways of selecting 2 men and 3 women from the given committee?
15% of 75 is the same as vx% of 450.find x.
In a set of numbers from 100 to 1000 inclusive, how many integers are odd and do not contain the digit 9?
Can you deduce the pattern and find the next number in the series? 13, 24, 35, 46, __?
What is the perimeter of a triangle with sides 7 and 5 that has the maximum possible area?
A cistern is filled by a tap in 8 1/2 hours. Due to leak in the bottom of the cistern, it takes half an hour longer to fill the cistern. If the cistern is full how many hours will it take the leak to empty it?
If x + y = 11 and x – y = 3, then x^2 - y^2 =
During a particular baseball game, the probability of a team's pitcher throwing a strike on each throw is 2/5. What is the least number of times that the pitcher should pitch the ball that will increase the probability of getting a strike at least once to more than 50%.
In a box of 12 pens, a total of 6 are defective. If a customer buys 2 pens selected at random from the box, what is the probability that neither pen will be defective?
A train 125 m long passes a man, running at 15 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
What is the probability of rolling two normal six-sided dice and getting exactly one six?
A man walking at the rate of 5 km/hr crosses a bridge in 15 minutes. What is the length of the bridge (in metres)?
How many positive integers, from 2 to 100, inclusive, are not divisible by even integers greater than 1?
How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 132 m length?
Jerry, an electrician, worked 7 months out of the year. What percent of the year did he work? (round answer to the nearest hundredth) What percent 12 is 7? 12 months = 1 year
For any positive integer n, the sum of the first n positive integers equals n(n+1)/2. What is the sum of all the even integers between 99 and 181?
The value of a stock is X dollars. On Sunday the stock's value grew by third of its value, but on Monday its value dropped to a third of its new value. What is the stock's value at the end of Monday?
If a sum of money doubles itself in 15 years at simple interest, the ratepercent per annum is
If the diagonal of a rectangle is 17cm long and its perimeter is 46 cm. Find the area of the rectangle.
A beekeeper has 100,000 bees living in five beehives. Among these beehives, the sizes of the beehives are proportional to the numbers of bees living in them. No beehive has less than 80% the number of bees of any other beehive. What is the maximum possible number of bees that the greatest beehive could have?
A bullet train 140 m long is running at 60 kmph. In how much time will it pass a platform 410 m long?
Suzie’s Discount Footwear sells all pairs of shoes for one price and all pairs of boots for another price. On Monday the store sold 22 pairs of shoes and 16 pairs of boots for $460. On Tuesday the store sold 8 pairs of shoes and 32 pairs of boots for $560. How much more do pairs of boots cost than pairs of shoes at Suz...
If x/y=4 and y is not '0' what % of x is 2x-y
It takes Megan 7 minutes to run a mile, and it takes Mike 8 minutes. If Megan and Mike both begin running at exactly 8:00 a.m. without pausing, when is the first time at which they will finish running a mile simultaneously?
There r 4 prime numbers in ascending order. The multiplication of first 3 is 385 and that of last 3is 1001. what is the last number is
A batsman hits a score of 78 runs in the 16th inning and thus increases his average by 4. Find his average after 16th inning.
The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 km. then find the speed of the faster train?
A person borrows Rs.5000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 8% p.a for 2 years. Find his gain in the transaction per year.
If a is a positive integer, and if the units digit of a^2 is 9 and the units digit of (a+1)^2 is 4, what is the units D digit of (a+2)^2?
The H.C.F. of two numbers is 28 and the other two factors of their L.C.M. are 12 and 15. The larger of the two numbers is
If n is a positive integer and n^2 is divisible by 36, then the largest positive integer that must divide n is
As a bicycle salesperson, Norman earns a fixed salary of $20 per week plus $6 per bicycle for the first six bicycles he sells, $12 per bicycle for the next six bicycles he sells, and $18 per bicycle for every bicycle sold after the first 12. This week, Norman earned more than twice as much as he did last week. If he so...
Find the number of ways of arranging the boy and 3 guests at a circular table so that the boy always sits in a particular seat?
In the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30. In the sport formulation, the ratio of flavoring to corn syrup is three times as great as in the standard formulation, and the ratio of flavoring to water is half that of the standard formulation. If ...
The incomes of two persons A and B are in the ratio 3:4. If each saves Rs.100 per month, the ratio of their expenditures is 1:2 . Find their incomes?
In a card game, a combination of three aces beats all others. If Jose is the first to draw from a standard deck of 52 cards, what is the probability that he wins the game with the best possible combination?
At a certain health club, 30 percent of the members use both the pool and sauna, but 50 percent of the members who use the pool do not use the sauna. What percent of the members of the health club use the pool?
The number of bacteria in a petri dish increased by 50 percent every 2 hours. If there were 108 million bacteria in the dish at 1: 00 p.m., at what time were there 32 million bacteria in the dish?
Ram's salary is 25% more than Raja's. How much percent is Raja's salary less than Ram's?
A box contains 7 pairs of shoes (14 shoes in total). If two shoes are selected at random, what it is the probability that they are matching shoes?
In a certain game, you perform three tasks. You flip a coin, and success would be heads. You roll a single die, and success would be a two. You pick a card from a full playing-card deck, and success would be picking a spades card. If exactly one of these three tasks is successful, then you win the game. What is the pro...
In what time will a train 100 m long cross an electric pole, it its speed be 144 km/hr?
A survey of n people in the town of Eros found that 50% of them preferred Brand A. Another survey of 100 people in the town of Angie found that 60% preferred Brand A. In total, 55% of all the people surveyed together preferred Brand A. What is the total number of people surveyed?
A person was asked to state his age in years. His reply was, "Take my age three years hence, multiply it by 3 and then subtract three times my age three years ago and you will know how old I am." What was the age of the person?
If A,B,C,D,E,F,G,H,I,J are in an decreasing Arithmetic Progression as such. Then Which of the following operations will result in only median being modified not the mean. A) A is removed B) A and J are removed C) B and I are removed D) A,B,C,H,I,J are removed E) A and E are removed
A tank is filled in SIXTEEN hours by three pipes A, B and C. Pipe A is twice as fast as pipe B, and B is twice as fast as C. How much time will pipe B alone take to fill the tank?
The sum of three consecutive multiples of 3 is 72. What is the largest number?
If you select two cards from a pile of cards numbered 1 to 10, what is the probability that the sum of the numbers is more than 17?
Sum of 36 odd numbers is?
Ram covers a part of the journey at 20 kmph and the balance at 70 kmph taking total of 8 hours to cover the distance of 400 km. How many hours has been driving at 20 kmph?
A train passes a station platform in 31 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 16 cm. What is the length of the wire?
Company M produces two kinds of stereos: basic and deluxe. Of the stereos produced by Company S last month, 2/3 were basic and the rest were deluxe. If it takes 1.5 as many hours to produce a deluxe stereo as it does to produce a basic stereo, then the number of hours it took to produce the deluxe stereos last month wa...
In a six-sided polygon WQRSTV ∠W measures 48° less than the average (arithmetic mean) of the remaining five angles. What does ∠W equal to, in degrees?
Calculate the value of r: 6r^2-17r+6 = 254
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
A person crosses a 600600 metre long street in 55 minutes. What is his speed in km per hour?
If M/N = 6/5,then 3M+2N = ? If p/q = 5/4 , then 2p+q= ? If PQRST is a parallelogram what it the ratio of triangle PQS & parallelogram PQRST
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 – 2). An employee with a salary grade of 5 receives how many more dollars per hour than an employee with a salary grade of 1?
If a and b are positive integers and (3^a)^b = 3^3, what is the value of 3^a*3^b?
What is the probability that a leap year has 53 Sundays and 52 Mondays?
A man can row upstream at 55 kmph and downstream at 65 kmph, and then find the speed of the man in still water?
In a room with 10 people, 6 people have exactly 1 friend in the room and 5 people have exactly 2 friends in the room (Assuming that friendship is a mutual relationship, i.e. if Jane is Paul's friend, Paul is Jane's friend). If two individuals are selected from the room at random, what is the probability that those two ...
If an integer x is to be selected at random from 1 to 100, inclusive, what is probability x(x+1) will be divisible by 2?
The parameter of a square is equal to the perimeter of a rectangle of length 18 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)
A boatman can row 96 km downstream in 8 hr. If the speed of the current is 4 km/hr, then find in what time will be able to cover 8 km upstream?
Two tests had the same maximum mark. The pass percentages in the first and the second test were 40% and 45% respectively. A candidate scored 216 marks in the second test and failed by 75 marks in that test. Find the pass mark in the first test?
Three pieces of timber 36 m, 42 m and 54 m long have to be divided into planks of the same length, What is the greatest possible length of each plank ?
A polygon has 54 diagonals. How many sides does it have? Self made
A person buys an article at Rs.500. At what price should he sell the article so as to make a profit of 30%?
Nitin’s salary is reduced by 10% and then reduced salary is increased by 10%. Find ,how many percentage his present salary is less as compared to his previous salary?
Jill, who lives in City C, plans to visit 5 different cities, M, L, S,N,and O. She plans to visit each city exactly once and return to City C after the 5 visits. She can visit the cities in any order. In how many different orders can she visit the 5 cities?
A pair of articles was bought for $900 at a discount of 10%. What must be the marked price of each of the article?
Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is
Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. If the faster train passes the slower train in 36 seconds,what is the length of each train?
What is the 4 digit number in which the 1st digit is 1/3 of the second, the 3rd is the sum of the 1st and 2nd, and the last is three times the second?
A man sells two articles for Rs.3640 each and he gains 25% on the first and loses 25% on the next. Find his total gain or loss?
A merchant marks his goods up by 40% and then offers a discount of 20% on the marked price. What % profit does the merchant make after the discount?
An athlete runs 200 metres race in 40 seconds. What is his speed?
The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?
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?
Two pipes can fill a tank in 18 minutes and 15 minutes. An outlet pipe can empty the tank in 45 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?
Eric, Nick and Archi make contributions to the Society Of Nature Protection in the ratio of 5:3:2.5. If altogether they contribute 5145 Nis, how much more money does Nick contribute than Archi?
Two trains of equal are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is?
At a certain diner, Joe ordered 3 doughnuts and a cup of coffee and was charged $ 2.25. Stella ordered 2 doughnuts and a cup of coffee and was charged $ 1.35. What is the price of 2 doughnuts?
Jane makes toy bears. When she works with an assistant, she makes 80 percent more bears per week and works 10 percent fewer hours each week. Having an assistant increases Jane’s output of toy bears per hour by what percent T?
O(x) represents the least odd integer greater than x, whereas o(x) represents the greatest odd integer less than x. Likewise, E(x) represents the least even integer greater than x, whereas e(x) represents the greatest even integer less than x. According to these definitions, the value of O(5.3) + E(–6.7) + o(–7.3) + e(...