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big_math_dataset

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Three boys, two girls, and two women are to be seated on a bench. If one specific boy must be seated on one of the end seats, and one specific girl must me seated exactly in the middle, find the number of possible arrangements T.
The present ages of three persons in proportions 10 : 1 : 5. Eight years ago, the sum of their ages was 56. Find their present ages (in years).
If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 65, then the average marks of all the students is:
The sum of the terms of an infinite G.P is 7 and the sum of the cubes of the terms is 1,225. Find the first term of the series.
For what value of x, is |x – 3| + |x + 1| + |x| = 8?
Robert is travelling on his cycle andhas calculated to reach point A at 2 PM. if he travels at 10 kmph, he will reach there at 12Pm if he travels at 15 kmph. At what speed must he travel to reach A at 1 PM?
A boat crossed a lake from North to West at the speed of 5 km/h, entered a river and covered twice as much distance going upstream at 4 km/h. It then turned around and stopped at the south shore of the lake. If it averaged 3.6 km/h that day, what was its approximate downstream speed?
In racing over a given distance d at uniform speed, A can beat B by 20 meters, B can beat C by 5 meters, and A can beat C by 24 meters. What is the distance d in meters?
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
The speed of a boat in still water is 40 kmph and the speed of the current is 16 kmph. Find the speed downstream and upstream?
There are 27 different three-digit integers that can be formed using only the digits 1, 2 and 3. If all 27 of the integers were listed, what would their sum be?
The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is 6250 and the average monthly income of P and R is Rs. 5500. The monthly income of P is?
The length of a rectangle is increased to 2 times its original size and its width is increased to 3 times its original size. If the area of the new rectangle is equal to 1800 square meters, what is the area of the original rectangle?
The population of a town increased from 1,75,000 to 2,62,500 in a decade. The average percent increase of population per year is:
Equal weights of two alloys containing tin, copper and lead in the ratio 3:2:7 and 4:11:3 are melted and mixed together. What is the ratio of tin, copper and lead in the resultant alloy?
The diameter of a garden roller is 1.2 m and it is 2 m long. How much area will it cover in 5 revolutions ? (use π = 22⁄7)
Two trains are moving in opposite directions with speed of 90 km/hr and 90 km/hr respectively. Their lengths are 1.10 km and 0.9 km respectively. the slower train cross the faster train in --- seconds
In a caravan, in addition to 60 hens, there are 35 goats and 6 camels with some keepers. If the total number of feet be 193 more than the number of heads in the caravan, the number of keepers is
If a, b, c, d, and x are nonzero numbers, which of the following conditions must be true for (ax)^61(bx)^21(cx)^14(dx)^6>0?
A cricket player whose bowling average was 23.50 runs per wicket, takes 5 wicket for 52 runs in a match. Due to this his average decreases by 0.50. What will be the number of wickets taken by him till the last match?
The list price of an article is Rs.70. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is?
A certain galaxy is known to comprise approximately 4 x 10^10 stars. Of every 50 million of these stars, one is larger in mass than our sun. Approximately how many stars in this galaxy are larger than the sun?
A train 125 m long passes a man, running at 20 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
Albert started a business investing Rs. 45,000. After 3 months, peter joined him with a capital of Rs. 60,000. After another 6 months, Ronald joined them with a capital of Rs. 90,000. At the end of the year, they made a profit of Rs. 16,500. Find the share of each.
It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the cars is:
A sum of money deposited at C.I. amounts to Rs.2420 in 2 years and to Rs.2662 in 3 years. Find the rate percent?
The average of first seven multiples of 3 is:
Thin rectangular slab of potato was cut into two pieces for an osmosis lab. One piece is 50mm greater than the other. If the original uncut slab is 600mm, what is the length of the other piece of the potato after it is cut.
Length of a rectangular plot is 20mtr more than its breadth. If the cost of fencing gthe plot at 26.50 per meter is Rs. 5300, what is the length of the plot in mtr?
If y exceeds x by 40%, then x is less than y by?
Two trains 210 m and 260 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?
Mary invested a certain sum of money in a bank that paid simple interest. The amount grew to $260 at the end of 2 years. She waited for another 4 years and got a final amount of $380. What was the principal amount that she invested at the beginning?
It takes Warner 30 minutes to walk to the car park and 90 min to drive to work. At what time should he get out of the house in order to get to work at 9:00 a.m.?
Marcella has 23 pairs of shoes. If she loses 9 individual shoes, what is the greatest number of matching pairs she could have left?
The ratio between the length and the breadth of a rectangular park is 3 : 4. If a man cycling along the boundary of the park at the speed of 15 km/hr completes one round in 10 min, then the area of the park (in sq. m) is?
97 students take part in a test and the median score is 85. Which of the following descriptions must be correct? I.At most 49 students’ score are equal to or more than 85 II. At least 49 students’ score are less than 85. III. .At least 49 students’ score are equal to or more than 85.
I bought two books; for Rs.480. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss?
One hour after Matthew started waking from q to y, a distance of 45km, Johnny started walking along the same road from y to q. Matthew's walking rate was 3 km per hour and Johnny's was 4km per hour, how many km had Johnny walked when they met?
Jill invests $10000 in an account that pays an annual rate of 3.96%, compounding semi-annually. Approximately how much T does she have in her account after two years?
Ten high school boys gather at the gym for a game of basketball. Two teams of 5 people each will be created. How many ways are there to create these 2 teams?
An college has 6 employees; there are 5 female employees and 1 male employee. In how many ways can a 3-person committee be created if the committee must include the male employee?
The population of a city increases by 6% per year but due to migration it decrease by 1% per years. What will be the percentage increase in population in 3 years?
A student chose a number, multiplied it by 2, then subtracted 138 from the result and got 110. What was the number he chose?
Sandy buys an old scooter for $800 and spends $200 on its repairs. If Sandy sells the scooter for $1200, what is the gain percent?
What is the smallest number H which when increased by 5 is completely divisible by 8, 11 and 24?
10^(60) ÷ 10^(58) = ?
1395 x 1395
The length of a rectangular floor is more than its breadth by 200%. If Rs. 324 is required to paint the floor at the rate of Rs. 3 per sq m, then what would be the length of the floor?
63 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?
In a board game, a stack of 44 cards, 7 of which have pictures of fruit, are shuffled and then placed face down. If the first 2 cards selected do not have pictures of fruit, what is the probability that the third card selected will have a picture of fruit?
If x, y, and z are consecutive odd integers, with x < y < z, then which of the following must be true? I. x + y + z is odd II. (x+z)/y is not an integer III. xy/2 is not an integer
If the length of the side of a square is doubled, what is the ratio of the areas of the original square to the area of the new square?
The average salary of all the workers in a workshop is Rs. 9000. The average salary of 6 technicians is Rs. 12000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is?
Susan drove an average speed of 30 miles per hour for the first 40 miles of a trip then at a average speed of 15 miles/hr for the remaining 40 miles of the trip if she made no stops during the trip what was susan's avg speed in miles/hr for the entire trip
In 10 years, P will be as old as Q is now. Forty years ago, Q was twice as old as P was then. How old is P now?
Two numbers are in the ratio 3:5. If 9 be subtracted from each, they are in the ratio of 9:17. The first number is:
The bankers gain of a certain sum due 2 years hence at 10% per annum is Rs 24 .The percent worth is
If 2994 ÷ 14.5 = 175, then 29.94 ÷ 1.45 = ?
A cupcake recipe calls for 2 cups of sugar, and makes 2 dozen cupcakes. A caterer will supply cupcakes for 150 guests at a birthday party in which there should be at least 2 cupcakes per guest. What is the minimum amount of sugar needed?
The least number which must be subtracted from 820 to make it exactly divisible by 9 is:
A man buys s cycle for $100 and sells it at a loss of 50%. What is the selling price of the cycle?
What is the value of the 201st term of asequence if the first term of the sequence is2 and each successive term is 4 more thanthe term immediately preceding it?
In X game of billiards, X can give Y 20 points in 60 and he can give Z 30 points in 60. How many points can Y give Z in X game of 100?
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 3/4 as many workers as the day crew, what fraction of all the boxes loaded by the two crews did the day crew load?
If a commission of 10% is given on the marked price of a book, the publisher gains 20%. If the commission is increased to 15%, the gain is:
A candidate who gets 20% marks fails by 10 marks but another candidate who gets 42% marks gets 12% more than the passing marks. Find the maximum marks.
In a survey of parents, exactly 7/8 of the mothers and 3/4 of the fathers held full-time jobs. If 60 percent of the parents surveyed were women, what percent of the parents did not hold full-time jobs?
Two pipes A and B can fill a tank in 6 hours and 4 hours respectively. If they are opened on alternate hours and if pipe A is opened first, in how many hours, the tank shall be full ?
The number of years of service of the eight employees in a production department are 15, 10, 9, 17, 6, 3, 14 and 16. What is the range in the number of years of service of the eight employees?
1397 x 1397 = ?
If it would take one machine 8 minutes to fill a large production order and another machine 12 minutes to fill the same order, how many minutes would it take both machines working together, at their respective rates, to fill the order?
If $5,000 is invested in an account at a simple annual rate of r percent, the interest is $250. When $15,000 is invested at the same interest rate, what is the interest from the investment?
The area of sector of a circle whose radius is 12 metro and whose angle at the center is 42° is?
A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
AMOUNT OF BACTERIA PRESENT Time Amount 1:00 P.M. 14.0 grams 4:00 P.M. x grams 7:00 P.M. 18.4 grams Data for a certain biology experiment are given in the table above. If the amount of bacteria present increased by the same fraction during each of the two 3-hour periods shown, how many grams of bacteria were present at 4:00 P.M.?
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 65 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?
Frederique traveled x/8 of the total distance of a trip at an average speed of 40 miles per hour, where 1=<x=<7. She traveled the rest of the distance at an average speed of 60 miles per hour. In terms of x, what was Frederique's average speed for the entire trip?
Each of the following numbers has a remainder of 2 when divided by 4 except:
A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. The time required by the first pipe is?
Bert left the house with N dollars. He spent 1/4 of this at the hardware store, then $9 at the dry cleaners, and then half of what was left at the grocery store. When he got home, he had $12 left in his pocket. What was the value of N?
A person travels equal distances with speeds of 4 km/hr, 5 km/hr and 6 km/hr and takes a total time of 47 minutes. The total distance is?
Jackson Consulting reduced headcount by laying off 20% of its employees. If the earnings of each of the remaining employees were the same before and after the layoffs, what is the maximum percentage by which the average earnings of the employees at the company could have increased from its level before the layoffs to its level after the layoffs?
Length of train is 130 meters and speed of train is 45 km/hour. This train can pass a bridge in 30 seconds, then find the length of the bridge
Kevin professes to sell his goods at the cost price but he made use of 300 grams instead of a kg, what is the gain percent?
If A lends Rs. 3500 to B at 10% p.a. and B lends the same sum to C at 11.5% p.a., then the gain of B (in Rs.) in a period of 3 years is
A man buys an article for $100. and sells it for $125. Find the gain percent?
A woman traveled 20 kilometer in 14 meter per second and another 20 kilometer in 18 miles per second. what is the average speed of the entire trip?
The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 21 years. The present age of the husband is
Some of 45%-intensity red paint is replaced with 25% solution of red paint such that the new paint intensity is 40%. What fraction of the original paint was replaced?
A train running at a speed of 60 kmph crosses a pole in 15 seconds.What is the length of the train?
Anthony and Cindy were each given x dollars in advance to perform at a community festival. Anthony eventually performed on all 14 days of the festival, while Cindy performed on 6 fewer days than Anthony performed. If Cindy gives Anthony y dollars of her advance payment so that they would have each received the same daily rate, what was Anthony paid in advance, in terms of y?
On a test consisting of 30 questions. No. of wrong answers is 50% less than number of right answers. Each answer was either right or wrong. What is the ratio of right answers to wrong answers?
Before leaving for his business trip, Chad asks his assistant to choose and pack three shirts from his closet, which currently contains seven shirts. If each shirt is a different color, including one blue shirt and one pink shirt, and the assistant chooses the shirts at random, what is the probability that the pink shirt will be one of the shirts packed but the blue shirt will not?
A car traveled 560 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city. If the car traveled 6 fewer miles per gallon in the city than on the highway, how many miles per gallon did the car travel in the city?
287 x 287 + 269 x 269 - 2 x 287 x 269 = ?
The sum of four consecutive even numbers is 292. What would be the smallest number?
The average of 6 no.'s is 2.5. The average of 2 of them is 1.1, while the average of the other 2 is 1.4. What is the average of the remaining 2 no's?
In a recent election, Ms. Robbins received 5,000 votes cast by independent voters, that is, voters not registered with a specific political party. She also received 10 percent of the votes cast by those voters registered with a political party. If N is the total number of votes cast in the election and 40 percent of the votes cast were cast by independent voters, which of the following represents the number of votes that Ms. Robbins received?
If y = 30p, and p is prime, what is the greatest common factor of y and 6p, in terms of p?
M = {-6, -5, -4, -3, -2} T = {-2, -1, 1, 2, 3, 4} If an integer is to be randomly selected from set M above and an integer is to be randomly selected from set T above, what is the probability that the product of the two integers will be negative?