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big_math_dataset

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If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance travelled by him is:
Abhay's age after six years will be three -seven of his father 's age . TTen years ago, the ratio of heir ages was 1 : 5. What is Abhay's fathers age at present ?
In a group of ducks and cows, the total number of legs are 22 more than twice the no. of heads. Find the total no.of buffaloes.
A certain restaurant offers 5 kinds of cheese and 2 kinds of fruit for its dessert platter. If each dessert platter contains an equal number of kinds of cheese and kinds of fruit, how many different dessert platters could the restaurant offer?
Tom, working alone, can paint a room in 16 hours. Peter and John, working independently, can paint the same room in 8 hours and 4 hours, respectively. Tom starts painting the room and works on his own for two hour. He is then joined by Peter and they work together for two hour. Finally, John joins them and the three of...
Three guests check into a hotel room. The clerk says the bill is $30, so each guest pays $10. Later the clerk realizes the bill should only be $25. To rectify this, he gives the bellhop $5 to return to the guests. On the way to the room, the bellhop realizes that he cannot divide the money equally. As the guests didn’t...
If X is to be chosen at random from the integers between 1 to 6, inclusive, and Y is to be chosen at random from the integers between 7 and 10, inclusive, what is the probability that X + Y will be even?
If X is invested in a bank at a rate of simple interest of y% p.a. for two years, then the interest earned is 800. if X is invested at y% p.a., for two years when the interest is compounded annually, the interest is 820. What is the value of X?
Rob also compared the Empire State Building and the Petronas Towers. What is the height difference between the two if the Empire State Building is 356m tall and the Petronas Towers is 370m tall?
In the third grade of Windblown School there are 90 students, one third of them failed the math test and 1/6 failed that literature test. At least how many students failed both tests?
Arun purchased 30 kg of wheat at the rate of Rs. 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg. He mixed the two and sold the mixture. Approximately what price per kg should be sell the mixture to make 20% profit?
An analyst will recommend a combination of 2 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 6 industrial stocks, 5 transportation stocks, and 4 utility stocks, how many different combinations of 6 stocks are possible?
If the LCM and HCF of 8 and another number is 24 and 4 respectively. Find the other number ?
544, 509, 474, 439, ... ?
A big container is 30% full with water. If 45 liters of water is added, the container becomes 3/4 full. What is the capacity of the big container?
The average temperature of the town in the first four days of a month was 58 degrees. The average for the second, third, fourth and fifth days was 61 degrees. If the temperatures of the first and fifth days were in the ratio 7 : 8, then what is the temperature on the fifth day ?
A call center has two teams. Each member of Team A was able to process 3/5 calls as compared to each member of Team B. If Team A has 5/8 as many number of call center agents as Team B, what fraction of the total calls was processed by Team B?
Four of the five parts numbered (a), (b), (c), (d) and (e) are exactly equal. Which of the parts is not equal to the other four? The number of that part is the answer.
If |u+v|=|u-v|, then u*v must be equal to:
What positive number, when squared, is equal to the cube of the positive square root of 12?
Evaluate 3.6×0.48×2.50 / 0.12×0.09×0.5
An aircraft company has 20 planes in its fleet. Every year it retires 5 of its planes and replaces then with 6 newer planes. How many years will it take the company, starting from 2010, to reduce the number of it s old planes to less than half of its fleet?
Mario and Nina each have a bag of marbles, each of which contains 4 blue marbles, 10 red marbles, and 6 white marbles. If Mario and Nina each select one marble from their respective bags, what is the probability that either Mario or Nina select a red marble?
A can do a piece of work 40 days. B can do work in 60 days. In how many days they will complete the work together?
If mn > 0, which of the following must be negative?
If it takes 4 identical printing presses exactly 4 hours to print 6,000 newspapers, how long would it take 2 of these presses to print 5,000 newspapers?
What will be the fraction of 6%
How many times in a day the hands of a clock are straight?
Sushil got thrice as many marks in English as in Science. His total marks in English, Science and Maths are 152. If the ratio of his marks in English and Maths is 1:5, find his marks in Science?
Pam and Stanley packed several boxes with reams of paper. While both packed, Pam packed 80% of the boxes. After Pam stopped, Stanley packed the same number of boxes that he had packed while working with Pam. What is the ratio of the number of boxes Pam packed to the number of boxes Stanley packed?
Ginger over the course of an average work-week wanted to see how much she spent on lunch daily. On Monday and Thursday, she spent $5.43 total. On Tuesday and Wednesday, she spent $3.54 on each day. On Friday, she spent $4.89 on lunch. What was her average daily cost?
The volume of a rectangular swimming pool is 840 cubic meters and water is flowing into the swimming pool. If the surface level of the water is rising at the rate of 0.5 meters per minute, what is the rate R, in cubic meters per minutes, at which the water is flowing into the swimming pool?
The ratio of investments of two partners A and B is 7:5 and the ratio of their profits is 7:10. If A invested the money for 5 months, find for how much time did B invest the money ?
In a market, a dozen eggs cost as much as a pound of rice, and a half-liter of kerosene costs as much as 6 eggs. If the cost of each pound of rice is $0.33, then how many cents does a liter of kerosene cost? [One dollar has 100 cents.]
A sum of money amounts to Rs. 9800 after 5 years and Rs. 12005 after 8 years at the same rate of simple interest. The rate of interest per annum is:
At a dinner party 3 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?
Find the lowest common multiple of 24, 36 and 42.
Ray writes a two digit number. He sees that the number exceeds 4 times the sum of its digits by 3. If the number is increased by 18, the result is the same as the number formed by reversing the digits. Find the sum of the digits of the number.
25% of 30% of 45% is equal to?
In what ratio should a variety of rice costing Rs. 6 per kg be mixed with another variety of rice costing Rs. 8.75 per kg to obtain a mixture costing Rs. 7.50 per kg?
A shopkeeper buys mangoes at the rate of 6 a rupee and sells them at 4 a rupee. Find his net profit or loss percent?
A boat running up stram takes 6 hours to cover a certain distance, while it takes 10 hours to cover the same distance running down stream. what is the ratio between the speed of the boat and the speed of water current respectively?
A bank issued credit card numbers and the corresponding PIN (Personal Identification Number). Both are 3-digit numbers up to 996. Pinaki was the last to get the credit card and so he had the last possible credit card number. He was afraid of forgetting his PIN. He wrote down the number 124 in his diary to remember his ...
A tank has 5 inlet pipes. Three pipes are narrow and two are wide. Each of the three narrow pipes works at 1/2 the rate of each of the wide pipes. All the pipes working together will take what fraction K of time taken by the two wide pipes working together to fill the tank?
A box measuring 36 inches long by 45 inches wide by 18 inches deep is to be filled entirely with identical cubes. No space is to be left unfilled. What is the smallest number of cubes that can accomplish this objective?
Find the sum lend at C.I. at 5 p.c per annum will amount to Rs.441 in 2 years?
A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that all the four bulbs are defective?
If a, b, y are integers, 33 = aby, and a < b < y, what is the smallest possible value of a?
Two trains each 250 m in length are running on the same parallel lines in opposite directions with the speed of 80 kmph and 70 kmph respectively. In what time will they cross each other completely?
A certain team has 8 members, including Joey. A three-member relay team will be selected as follows: one of the 8 members is to be chosen at random to run first, one of the remaining 7 members is to be chosen at random to run second, and one of the remaining 6 members is to be chosen at random to run third. What is the...
Two trains are running in opposite directions with the same speed. If the length of each train is 120 m and they cross each other in 8 sec, then the speed of each train is?
If a tire rotates at 400 revolutions per minute when the car is traveling 168km/h, what is the circumference of the tire?
Each month, after Jill pays for rent, utilities, food, and other necessary expenses, she has one fifth of her net monthly salary left as discretionary income. Of this discretionary income, she puts 30% into a vacation fund, 20% into savings, and spends 35% on eating out and socializing. This leaves her with $105 dollar...
75 persons Major in physics, 83 major in chemistry, 10 not at major in these subjects u want to find number of students majoring in both subjects
A man, his wife and daughter worked in a graden. The man worked for 3 days, his wife for 2 days and daughter for 4 days. The ratio of daily wages for man to women is 5 : 4 and the ratio for man to daughter is 5 : 3. If their total earnings is mounted to Rs. 105, then find the daily wage of the daughter.
Of the 160 people at a party, 70 were women, and 50 women tried the appetizer. If 50 people did not try the appetizer, what is the total number of men who tried the appetizer?
One pipe can fill a pool 1.5 times faster than a second pipe. When both pipes are opened, they fill the pool in five hours. How long would it take to fill the pool if only the slower pipe is used?
A cistern 6m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:
Find the ratio between 1hr 30 minutes and 2hrs 40 minutes.
A man can row upstream at 25 kmph and downstream at 31 kmph, and then find the speed of the man in still water?
The length of the bridge, which a train 130 m long and traveling at 45 km/hr can cross in 30 sec is?
A, B AND C TOGETHER EARN RS. 300 PER DAY WHILE A AND C TOGETHER EARN RS. 188 AND B AND C TOGETHER EARN RS. 152. THE DAILY EARNING OF C IS:
A rectangular field has a length 10 meters more than it is width. If the area of the field is 119, what is the length (in meters) of the rectangular field?
Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
A tailor trims 6 feet from opposite edges of a square piece of cloth, and 5 feet from the other two edges. If 80 square feet of cloth remain, what was the length of a side of the original piece of cloth?
How much pure alcohol should be added to 400ml of a 15% solution to make the strength of solution 28%?
The ratio of the ages of three people is 4:6:7. Six years ago, the sum of their ages was 50. Find their present ages.
The symphony sells two kinds of tickets: orchestra, for $30, and upper tiers, for $12. On a certain night, the symphony sells 90 tickets and gets $1800 in revenue from the sales. How many orchestra tickets did they sell?
what is the sum of all 5 digits numbers which can be formed with the digits 0,1,2,3,4 without repetition
A merchant sold two items for Rs.1700 each, and makes a profit of 25% from the first item and a loss of 20% from the second item. calculate the total gain or loss.
I have only 1$ and 2$ note. I want to give 95$ to John. How many maximum number of 2$ note I need?
An amount of money is to be divided among P, Q and R in the ratio of 4 : 9 : 16. If R gets 4 times more than P, what is Q’s share in it?
If x is an integer and y = 3x + 7, which of the following CANNOT be a divisor of y?
Mr. Kramer, the losing candidate in a two-candidate election, received 942,568 votes, which was exactly 25 percent of all votes cast. Approximately what percent of the remaining votes would he need to have received in order to have won at least 50 percent of all the votes cast?
Addison High School’s senior class has 200 boys and 160 girls. If 60% of the boys and 75% of the girls attended college, what percentage of the total class that did not attend college?
How many seconds will a 500 metre long train moving with a speed of 63 km/hr, take to cross a man walking with a speed of 3 km/hr in the direction of the train ?
Two trains, one from Hyderabd to Bangalore and the other from Bangalore to Hyderabad, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is ?
If n^2 = m^2, which of the following must be true?
If n is a positive integer, what is the remainder when (6^(4n+3))(6^n) is divided by 10?
An amount of Rs. 55000 is invested in two types of shares. The first yields an interest of 9% p.a and the second, 11% p.a. If the total interest at the end of one year is 9 3/4 %, then the amount invested in each share was?
The greatest number of four digits which is divisible by 10, 13, 40 and 60 is:
If 1 = 3 2 = 6 3 = 9 4 = 12 5 = 15 Then 9 = ? Hint: Its a logic Riddle not a mathematical riddle
Simple interest on a sum at 4% per annum for 2 years is Rs.80.The compound interest on the same sum for the same period is :
The charge for a single room at Hotel P is 25 percent less than the charge for a single room at Hotel R and 10 percent less than the charge for a single room at Hotel G. The charge for a single room at Hotel R is what percent greater than the charge for a single room at Hotel G ?
If a = 105 and a^3= 21 * 25 * 35 * b, what is the value of b?
What is the scope including 1/41+1/42+1/43+......+1/50?
The average age of a husband and a wife is 23 years when they were married five years ago but now the average age of the husband, wife and child is 20 years(the child was born during the interval). What is the present age of the child?
A can do a piece of work in 36 days, B in 54 days and C in 72 days. All the three began the work together on the Dec. 15, 2000, but A left 8 days and B 12 days before the completion of the work. If C took the rest for a week then in how many days, the work was finished from the day it started ? Sol. Let the total time ...
A technician makes a round-trip to and from a certain service center by the same route. If the technician completes the drive to the center and then completes 30 percent of the drive from the center, what percent of the round-trip has the technician completed?
If x^2+(1/x^2)=5, x^4+(1/x^4)=?
In the xy-plane, the line y = k is the perpendicular bisector of the line segment PQ and the line x = d is the perpendicular bisector of the line segment RQ. If the coordinates of the point R are (-d, -k), then what are the coordinates of the point P?
Ross has 60 shirts, 3/4 of the shirts are green and 1/10 is without buttons. Therefore Ross has between ___ and ___ shirts with buttons that are not green.
A is a working partner and B is a sleeping partner in the business. A puts in Rs.15000 and B Rs.25000, A receives 10% of the profit for managing the business the rest being divided in proportion of their capitals. Out of a total profit of Rs.9600, money received by A is?
What is the sum of the integers 45 through 175 inclusive?
which of the following options must be accurate if given the equation below: h=-e^7 I. h is positive. II. If e is negative then h is negative. III. e is non-negative.
The side of a square has the length of 9. What is the area of the region shaded?
2 students appeared at an examination. 1 of them secured 9 marks more than the other one and hismarks was 56% of the sum of their marks. Find the marks obtained by them are?
a^2*b^2+a^2+b^2=259 b^2*c^2+b^2+c^2=1299 c^2*a^2+c^2+a^2=499 then find b=?
John and Jane went out for a dinner and they ordered the same dish. Both used a 10% discount coupon. John paid a 15% tip over the original price of the dish, while Jane paid the tip over the discounted price for the coupon. If John paid $0.36 more than Jane, what was the original price of the dish?
If a population of women in a town is 50% of men . What is the population of men as a percentage of population of women ?