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big_math_dataset

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Of 1000 surveyed students, 20% of those who read book A also read book B and 25% of those who read book B also read book A. If each student read at least one of the books, what is the difference between the number of students who read only book A and the number of students who read only book B?
The remainder of the division of a number by 63 is 27. What will be the remainder when that number is divided by 9? Please explain
There is a 75% chance that Tigers will not win at all during the whole season. There is a 25% chance that Germany will not play at all in the whole season. What is the greatest possible probability that the Tigers will win and Germany will play during the season?
If x = 2, then what is the value of 8x √x3 – x2
If x is three times larger than n , and if 2n+3 is 20% of 25, what is the value of ?
f(x) is a function such that f(x) + 3f(8 - x) = x for all real numbers x. Find the value of f(2).
If x and y are integers such that x^2-2x+2y+3=2x^2-3x+y+1, we can deduce that y is
If n = 2lk, where l and k are distinct prime numbers greater than 2, how many different positive even divisors does n have, including n ?
Beginning in Town A, Biker Bob rides his bike 10 miles west, 5 miles north, 5 miles east, and then 15 miles north, to Town B. How far apart are Town A and Town B? (Ignore the curvature of the earth.)
The average of first five multiples of 8 is :
A box contains eleven bulbs out of which six are defective. If six bulbs are chosen at random, find the probability that all the six bulbs are defective?
The population of a town is 8000. It decreases annually at the rate of 10% p.a. What will be its population after 3 years?
Evaluate: 11 + sqrt(- 4 + 6×4÷3) =?
A man spends 2/5 of his salary on house rent, 3/10 of his salary on food, and 1/8 of his salary on conveyance. if he has Rs 1400 left with him, find his expenditure on food and conveyance
If average temperature of june,july and august is 31,and july,august september is 30. find tempearture of september if temperature of june is 29.
If 6111309× 3145208 × K^2 is divisible by 3, which of the following could be the value of K?
A starts business with a capital of Rs.1200 B and C join with some investments after 3 and 6 months respectively. If the end of a year, the profit is divided in the ratio 2:3:5 respectively. What is B's investment in the business?
Mohit sold an article for $15000. Had he offered a discount of 10% on the selling price, he would have earned a profit of 8%. What is the cost price of the article?
P can complete a work in 12 days working 8 hours a day. Q can complete the same work in 8 days working 10 hours a day. If both P and Q work together, working 8 hours a day, in how many days can they complete the work?
In a certain neighborhood, there are half as many beige houses as white houses, and 7 times as many white houses as brown houses. What is the ratio of the number of brown houses to the number of beige houses?
A man has some hens and cows. If the number of heads be 48 and the number of feet equals 140, then the number of hens will be
Two years ago, Sam put $1,000 into a savings account. At the end of the first year, his account had accrued $100 in interest bringing his total balance to $1,100. The next year, his account balance increased by 10%. At the end of the two years, by what percent has Sam's account balance increased from his initial deposi...
If the tens digit of positive integers m, y are 6, how many values of the tens digit of 2(m+y) can be there?
A jar contains 3 black, 3 white and 1 green balls. If you pick two balls at the same time, what's the probability that one ball is black and one is white?
A man buys an article for 12% less than its value and sells it for 12% more than its value. His gain or loss percent is:
If log8 x + log 8 1/6 = 1/3, then the value of x is:
For what value of x between − 6 and 6, inclusive, is the value of x^2 − 10x + 16 the greatest?
A man can reach certain place in 50hours. If he reduces his speed by 1/10th, he goes 100km less in time. Find his speed?
In how many years does a sum of Rs. 3000 yield a simple interest of Rs. 12500 at 15% p.a.?
John and David can finish a job together in 2 hours. If John can do the job by himself in 3 hours, what percent of the job does David do?
What is the Compound Interest on Rs.6500 at 5.5% p.a. compounded half-yearly for 1 year.
Plane leaves from Chelsea every 25 minutes from West Ham airport. Air hostess told Frank Lampard that the plane had left 25 minutes ago and the next plane for Chelsea will leave at 7:00 p.m. At what time air hostess convey this information to Frank Lampard?
By travelling at 40 kmph, a person reaches his destination on time. He covered two-third the total distance in one-third of the total time. What speed should he maintain for the remaining distance to reach his destination on time?
The value of a machine depreciates at 20% per annum. If its present value is Rs. 1,50,000, at what price should it be sold after two years such that a profit of Rs. 24,000 is made?
K = wxyz, where w, x, y, z are prime numbers. Not including 1 and K, how many factors does K have?
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is?
A man purchases 8 pens for Rs.9 and sells 9 pens for Rs.8, how much profit or loss does he make?
By selling a house for Rs.45000, it was found that 1/8 of the outlay was gained, what ought the selling to price to have been in order to have lost 9 p.c?
In how many ways can three boys can be seated on five chairs?
A basket has 4 apples and 3 oranges. Two fruits are picked at random. The probability that at least 2 apples are picked is
Find a sum for first 11 prime numbers?
Find the 18th term of an arithmetic progression whose first term is 4 and the common difference is 5.
The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 km in 4 hours, then the speed of the first train is:
When Jessica withdrew $400 from her bank account, her account balance decreased by 2/5. If she deposits an amount equal to 1/4 of the remaining balance, what will be the final balance in her bank account?
A thief is noticed by a policeman from a distance of 300 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes ?
If in k+1 years from now John will be m years old, then how old was John t-1 years ago?
On average, Machine A will produce a completed item once every four minutes, and Machine B will produce a completed item once every five minutes. The number of items Machine A produces in a 24-hour period is approximately what percent greater than the number of items Machine B would produce in that same period?
A company organized a recruiting process for 3 vacant positions of assistant manager for its product launches. The company's efforts yielded 14 eligible candidates. How many sets of 3 candidates can the company choose to fill the 3 assistant manager positions?
Three 6 faced dice are thrown together. The probability that all the three show the same number on them is?
If m and n are positive integers of I such that m is a factor of n, how many positive multiples of m are less than or equal to 2n ?
Which of the following numbers is divisible by 5?
In how many ways 4 boys and 2 girls can be seated in a row so that they are alternate.
If Sn is the sum of the first n terms of a certain sequence and if Sn = n(n+2) for all positive integers n, what is the third term of the sequence?
In a class,10 students like to play Basketball and 8 like to play Cricket. 4 students like to play on both Basketball and Cricket. How many students like to play Basketball or Cricket or both?
Set R has a mean of 12 and a standard deviation of 1.5. We are going to add two additional numbers to Set S. Which pair of numbers would decrease the standard deviation the most?
If the height of a triangle is decreased by 40%, land its base is increased by 40%, what will be the effect on its area?
2 log10 5 + log10 8 – ½ log10 4 = ?
What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 20%?
The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 867 sq m, then what is the breadth of the rectangular plot?
The ratio of boys and girls in a college is 5:6.if 25% of boys and 25%of girls are scholarship holders.then what percentage of students does not get the scholarship?
A is faster than B. A and B each walk 24 km. The sum of their speeds is 7 km/hr and the sum of times taken by them is 14 hours. Then, A's speed is equal to?
If population of certain city increases at the rate of 4%. If population in 1981 was 138910, then population in 1979 was?
Silk is purchased for $250 per square yard at the Silk Market. The silk is cut into patterns and made into s-size shirts - the excess silk is discarded (1/5 of the silk material). The area is 2 square yards in the pattern that makes 1 side of an s-size shirt. If 2 sides make one shirt, how much money is needed to buy s...
Two cars cover the same distance at the speed of 56 and 64 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car.
Insert the missing number. 12, 25, 49, 99, 197, 395, (...)
A certain board game is played by rolling a pair of fair six-sided dice and then moving one's piece forward the number of spaces indicated by the sum showing on the dice. A player is frozen if her opponent's piece comes to rest in the space already occupied by her piece. If player A is about to roll and is currently fi...
Rs.2500 is divided into two parts such that if one part be put out at 5% simple interest and the other at 6%, the yearly annual income may be Rs.140. How much was lent at 5%?
Of the films Empty Set Studios released last year, 60% were comedies and the rest were horror films. 75% of the comedies were profitable, but 75% of the horror moves were unprofitable. If the studio made a total of 50 films, and broke even on none of them, how many of their films were profitable?
A number is missing from the number series below. Can you find it ? 84, 155, ?, 399 , 584, 819.
Total dinning bill for 7 people was $211.00.If they add 15% tip and divided the bill evenly , approximate.What was each persons find share$
sushi decided to save a certain amount of her monthly salary each month and her salary was unchanged from month to month. If sushi 's savings by the end of the year from these monthly savings were seven times the amount she spent per month, what should be the fraction of her salary that she spent each month?
In an election between the two candidates, the candidates who gets 70% of votes polled is winned by 160 vote’s majority. What is the total number of votes polled?
Prints a page 30 pg per min .If the printed for 2 hours except 10 min.Where there was an paper jam,how many page did it print
solve this logic number sequence( based on circles in digits) puzzle by the correct digit? 8080=6 1357=0 2022=1 1999=3 6666=?
A and B invests Rs.8000 and Rs.9000 in a business. After 4 months, A withdraws half of his capital and 2 months later, B withdraws one-third of his capital. In what ratio should they share the profits at the end of the year?
A sum fetched total simple interest of 4016.25 at the rate of 11 p.c.p.a. in 5 years. What is the sum?
A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 190 m long?
An aeroplane covers a certain distance at a speed of 120 kmph in 4 hours. To cover the same distance in 1 2/3 hours, it must travel at a speed of:
The present worth of Rs.1183 due in 2 years at 4% per annum compound interest is
A father said his son , " I was as old as you are at present at the time of your birth. " If the father age is 40 now, the son age 5 years back was
A rectangular field has to be fenced on three sides leaving a side of 25 feet uncovered. If the area of the field is 880 sq. feet, how many feet of fencing will be required?
At a dinner party 7 people are to be seated around a circular table. Two sitting arrangements are considered different only when the positions of the people are different relative to each other.What is the total number of possible sitting arrangements or the group?
In a convention where they distributes prizes. In how many ways can 3 prizes be distributed among 4 boys when a boy gets any number of prizes?
Find the area of trapezium whose parallel sides are 30 cm and 18 cm long, and the distance between them is 15 cm.
A store sells women purses for $50 each and men's wallets for $40 each. On every women purse, the store makes a profit of $10 while on every men's wallet it makes a profit of $6. If on a given day the store's sales amounted to $1000, which of the following cannot be the profit made on that day?
A + B = C D - C = A E - B = C Based on the above equations, can you find out the outcome for: D + F=?
A man invested Rs. 4455 in Rs. 10 shares quoted at Rs. 8.25. If the rate of dividend be 12%,his annual income is :
Thomas's age and Matt's age are in the ratio 3:5. Two years ago the ratio of their ages was 5:9. Find the ratio of their ages four years hence?
The average score of a cricketer for ten matches is 38.9 runs. If the average for first six matches is 42, then average for last four matches is
The number N is 5,2H1, where H represents the ten's digit. If N is divisible by 3, what is the value of H?
In how many ways can a committee of 5 people comprising at least 3 boys be formed using a group of 5 boys and 6 girls?
5216 × 51 = ?
The division of a whole number N by 13 gives a quotient of 28 and a remainder of 2. Find N.
S is a set containing 6 different positive odd primes. T is a set containing 8 different numbers, all of which are members of S. Which of the following statements CANNOT be true?
A child must place 6 different toys in 4 different bins. If any of the toys can go in any of the bins, in how many ways can the child place the toys into the bins?
If –1 < x <0 and x ≠ 0, which of the following inequalities must be true? I. x^3 < x II. x^2 < |x| III. x^4 – x^5 > x^3 – x^2
If the number 91876*2 is completely divisible by 8, then the smallest whole number in place of * will be?
A man walking at a rate of 15km/hr crosses a bridge in 10 minutes. The length of the bridge is?
which number need to add to 859622 to get a number exactly divisible by 456?
10 books are placed at random in a shelf. The probability that a pair of books will always be together is