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big_math_dataset

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A water tank is three-fifths full. Pipe A can fill a tank in 10 minutes and pipe B can empty it in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?
The length of a rectangular landscape is 4times its breadth. There is a playground in it whose area is 1200 square mtr & which is 1/3rd of the total landscape. What is the length of the landscape?
If n and y are positive integers and 450y = n^3, which of the following must be an integer?
If x and y are prime numbers such that x > y > 2, then x^2 − y^2 must be divisible by which one of the following numbers?
How many positive integers between 1 and 300 are there such that they are multiples of 9?
A can work three times as fast as B. Together they can finish a job in 18 days. In how many days can A complete the job alone?
A shopkeeper sells his goods at cost price but uses a faulty meter that weighs 850 grams. Find the profit percent.
Three workers have a productivity ratio of 2 to 3 to 4. All three workers are working on a job for 4 hours. At the beginning of the 5th hour, the slowest worker takes a break. The slowest worker comes back to work at the beginning of the 9th hour and begins working again. The job is done in ten hours. What was the ratio of the work performed by the fastest worker as compared to the slowest?
John makes $60 a week from his job. He earns a raise andnow makes $80 a week. What is the % increase?
pipes P and Q would fill a cistern 18 and 24 minutes respectively. Both pipes being opened, find when the first pipe must be turned off so that the cistern may be just filled in 12 minutes?
What is log3(4) log4(5)...log80(81)?
How many integers between 6000 and 7000 that have distinct digits and increase from left to right ?
Calculate the different number of ways 3 girls and 2 boys can sit on a bench?
A seven-digit phone number is divisible by 3. After adding the two digits of the area code the number is not divisible by 3, which of the following cannot be the area code?
A reduction of 40% in the price of bananas would enable a man to obtain 67 more for Rs.40, what is reduced price per dozen?
If M is the mean of x,y,z ; then what is the mean of z,y and x
Five years ago, the average age of A and B was 15 years. Average age of A, B and C today is 20 years. How old will C be after 15 years?
A guy was asked to specify his age in years. He said, “Take my age 5 years hence, multiply it by five and subtract five times of my age 5 years ago and you will know my age.” What was the age of that guy?
If 3/a + 4/a + 5/a is an integer, which of the following must also be an integer?
The largest natural number by which the product of three consecutive even natural numbers is always divisible, is
X can finish a work in 18 days. Y can finish the same work in 15 days. Yworked for 10 days and left the job. how many days does X alone need to finish the remaining work?
An alchemist discovered that the formula expressing the correct proportions needed to turn ordinary metal into gold is G = 1/2M + 15, where G is the number of gold bars and M is the number of metal bars. If a metal bar weighs twice as much as a gold bar, how many metal bars will yield an equal weight of gold?
On Sunday, Bill ran 4 more miles than he ran on Saturday. Julia did not run on Saturday, but she ran twice the number of miles on Sunday that Bill ran on Sunday. If Bill and Julia ran a total of 16 miles on Saturday and Sunday, how many miles did Bill run on Sunday?
In assembling a Bluetooth device, a factory uses one of two kinds of modules. One module costs $10 and the other one, that is cheaper, costs $3.5. The factory holds a $45 worth stock of 11 modules. How many of the modules in the stock are of the cheaper kind?
A dishonest dealer professes to sell goods at the cost price but uses a weight of 850 grams per kg, what is his percent?
In how many ways the letters of the word TIME be arranged?
Sue's trail mix is 30% nuts and 70% dried fruit. Jane's trail mix is 60% nuts and 40% chocolate chips. If the combined mixture of Sue and Jane's trails mix contains 48% nuts, what percent of the combined mixture is dried fruit?
Resident of town X participated in a survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 21 hours and std deviation of 2 hrs. The number of hours that pat, a resident of town X, watched television last week was between 1 and 2 standard deviation below the mean. Which of the following could be the number of hours that Pat watched television last week?
If 3 tic equals 6 tacs and 2 tacs equal 7 tocs, what is the ratio of one tic to one toc?
The total marks obtained by a student in Mathematics and Physics is 80 and his score in Chemistry is 20 marks more than that in Physics. Find the average marks scored in Mathamatics and Chemistry together.
A woman can do a piece of work in 40 days. Man is 25% more efficient than Woman. In how many days a man can do the same piece of work?
The sum of the ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?
How long will a boy take to run round a square field of side 60 meters, if he runs at the rate of 9km/hr?
Peter invested an amount of Rs. 12,000 at the rate of 10% p.a simple interest and another amount at the rate of 20% p.a. simple interest. The total interest earned at the end of one year on the total amount invested became 14% p.a. Find the total amount invested?
How many cubes of 10 cm edge can be put in a cubical box of 1 m edge.
15.03 × 0.01 = ?
Find the area of a rhombus whose side is 25 cm and one of the diagonals is 35 cm?
In a mixture of 45 litres the ratio of milk to water is 4:1. Additional 3 litres of water is added to the mixture. Find the ratio of milk to water in the resulting mixture.
Tough and Tricky questions: Ratios 1/5 of a certain class left on a field trip. 1/3 of the students who stayed behind did not want to go on the field trip (all the others did want to go). When another vehicle was located, 1/2 of the students who did want to go on the field trip but had been left behind were able to join. What fraction of the class ended up going on the field trip?
The proportion of copper and zinc in the brass is 13:7. How much zinc will there be in 100 kg of brass?
The sum and the product of the roots of the quadratic equation x2 + 20x + 3 = 0 are?
John want to buy a $100 Trouser at the store, but he think it’s too expensive. Finally, it goes on sale for $55. What is the percent decrease?
The triplicate ratio of 1:2 is?
A certain gallery is hanging a series of 7 paintings. All the paintings will be exhibited in a row along a single wall. Exactly 3 of the paintings are on panel, the remainder are on canvas. In how many ways can the paintings be exhibited if the works on panel must be the second and sixth in the row? OE
The average age of 28 students in a group is 11 years. When teacher’s age is included to it, the average increases by one. What is the teacher’s age in years?
Two cyclist start on a circular track from a given point but in opposite direction with speeds of 7m/s and 8m/s. If the circumference of the circle is 630meters, after what time will they meet at the starting point?
Average between two sets of numbers is closer to the set withmore numbers?
If an organization were to sell n tickets for a theater production, the total revenue from ticket sales would be 20 percent greater than the total costs of the production. If the organization actually sold all but 5 percent of the n tickets, the total revenue from ticket sales was what percent greater than the total costs of the production?
How many possible ways are there to select 2 stocks at random from 7 stocks?
A 6% stock yields 8%. The market value of the stock is
Which of the following number is divisible by 24 ?
Two trains of equal length are running on parallel lines in the same directions at 46km/hr. and 36km/hr. The faster trains pass the slower train in 54 seconds. The length of each train is:
An article is bought for Rs.1200 and sold for Rs.1300, find the loss percent?
If the number 53,1n9, where n represents the tens digit, is a multiple of 3, then the value of n could be which of the following?
A beauty pageant is being held with 50 competitors (one from each state in the USA). Each competitor has an equal chance of winning the competition. Four competitors will be chosen, and each will win either 1st, 2nd, 3rd, or 4th place. What is the probability California, Florida, and Hawaii will win three of the four places?
The mean of four integers E will not change if all the integers are multiplied by any constant. What is always true about this set of numbers? I. The mean of the set is 0 II. The sum of the largest member and the smallest member of the set is 0 III. The set contains both positive and negative integers
Sheila works 8 hours per day on Monday, Wednesday and Friday, and 6 hours per day on Tuesday and Thursday. She does not work on Saturday and Sunday. She earns $324 per week. How much does she earn in dollars per hour?
The number 4 is the smallest positive integer that has exactly three factors: 1, 2, and 4. If k is the next-highest integer that also has exactly three factors, what is the sum of the three factors of k?
John makes $60 a week from his job. He earns a raise andnow makes $70 a week. What is the % increase?
What is 0.01 percent of 15,356?
Two taps can separately fill a cistern 20 minutes and 30 minutes respectively and when the waste pipe is open, they can together fill it in 18 minutes. The waste pipe can empty the full cistern in?
If (8,000)(6,000) = (480)(10^y), what is the value of y?
The sum of two numbers is 16. The difference is 6. What are the two numbers?
Printer P can print one lakh books in 8 hours. Printer Q can print the same number of books in 10 hours while Printer R can print the same in 12 hours. All the Printers started printing at 9 A.M. Printer P is stopped at 11 A.M. and the remaining 2printers complete work. Approximately at what time will the printing of 1 lac books be completed?
Paul buys his co-workers donuts 24 glazed, 12 creme-filled and 6 with sprinkles. The glazed donuts cost $0.75 each, the creme-filled donuts cost $1.00 each, and the sprinkle covered donuts cost $0.50 each. What is the average cost Paul paid for each donut?
How many positive integers less than 100 have a remainder of 6 when divided by 13?
If the price of a certain computer increased 30 percent from d dollars to 377 dollars, then 2d =
For any number x, x* is defined as the greatest positive even integer less than or equal to x. What is the value of 5.2 – 5.2*?
The compound ratio of 5:6, 3:2 and 4:5?
The amount of water (in ml) that should be added to reduce 9 ml. Lotion, containing 50% alcohol, to a lotion containing 40% alcohol, is?
The sum of five numbers is 655. The average of the first two numbers is 85 and the third number is 125. Find the average of the two numbers?
When positive integer x is divided by positive integer y, the result is 59.32. What is the sum Q of all possible 2-digit remainders for x/y?
A trained covered x km at 40 kmph and another 2x km at 20 kmph. Find the average speed of the train in covering the entire 6x km.
If a#b = ab – b + b^2, then 3#8 =
The sum of the two digits of a number is 10. If the number is subtracted from the number obtained by reversing its digits, the result is 54. Find the number?
A survey is conducted on 800 people from a city. It is found that 6 1% of people surveyed speakHindi, 54.5% people speak Bangla and 37.5% of them speak English. 16.5% people can speak only Hindi and Bangla, 14.5% people can speak only Hindi and English and 6% people can speak only Bangla and English. Answer the following questions based on this information. How many people are there who can speak only Hindi ?
An engine moves at the speed of 60 kmph without any coaches attached to it.Speed of the train reduces at the rate that varies directly as the square root of the number of coaches attached.When 4 coaches are attached speed decreases to 48 kmph.What will be the speed of train when 36 coaches are attached.
Divide 5679 by 7 and find out remainder and quotient ?
If a and b are different values and a – b = 3(√a - √b), then in terms of b, a equals:
If a train, travelling at a speed of 90 kmph, crosses a pole in 5 sec, then the length of train is?
A train passes a station platform in 38 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?
The sum of four consecutive odd numbers is equal to the sum of 3 consecutive even numbers. Given that the middle term of the even numbers is greater than 101 and lesser than 220, how many such sequences can be formed?
Look at this series: 36, 34, 30, 28, 24, ... What number should come next?
What is the sum of all the multiples of 10 between 0 and 75?
P,Q and R together earn Rs.1890 in 9 days. P and R can earn Rs.600 in 5 days. Q and R in 7 days can earn Rs.910. How much amount does R can earn per day?
A cricketer has a certain average for 10 innings. In the eleventh inning, he scored 108 runs, there by increasing his average by 4 runs. His new average is:
During a recent track meet, Peter ran x meters of the 100 meter dash in 6 seconds; running at the same rate, how many seconds will it take Peter to run z meters of the 200 meter dash?
If A, B and C together can finish a piece of work in 4 days. A alone in 36 days and B in 18 days, then C alone can do it in?
An article is bought for Rs.980 and sold for Rs.788, find the loss percent?
A man takes 5 hours 45 min in walking to a certain place and riding back. He would have gained 2 hours by riding both ways. The time he would take to walk both ways is
Which of the following is between 14/19 and 19/23?
The diameter of a cylindrical tin is 8cm and height is 5 cm. Find the volume of the cylinder?
A dealer purchased an article at 3/4 of its list price and sold 50% more than the list price. Find his gain percent
Which of the following could be the value of x, if |14x – 56| = 196?
What is the remainder when 54487^(42787035) is divided by 5?
How many pieces of 85 cm length can be cut from a rod of 42.5 meters long?
What is the difference between the greatest and the smallest five digit numbers formed using the digits 7, 0, 3, 4 and 2 without repeating the digits?
How many ounces of a 60% salt solution must be added to 60 ounces of a 20 percent salt solution so that the resulting mixture is 40% salt?
The ratio of the present ages of P and Q is 3:4. 5 years ago, the ratio of their ages was 5:7. Find the their present ages?
If -4 < x < 4 and -6 < y < 3, which of the following specifies all the possible values of xy?