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big_math_dataset

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If W is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3^k is a factor of W?
At what rate percent per annum will a sum of money double in 6 years.
What decimal fraction is 70 ml of a litre ?
There are 8 baskets numbered from 1 to 8 and filled with apples. 10 children are asked to pick apples one by one from each basket such that the number of apples picked by each child from each basket is equal to the number marked on the basket. If there were 1000 apples in total and the baskets were filled in such a way that none of the basket became empty in the process, how many apples were left in the end?
If two numbers x, a perfect square and y, a perfect cube are added results a two digit number, whose digits if reversed, difference is 9, Find x and y ?
The food in a camp lasts for 40 men for 35 days. If ten more men join, how many days will the food last?
The total of the ages of Amar, Akbar and Anthony is 80 years. What was the total of their ages three years ago ?
If (x+4)^2/(x+10)=8, then the difference between the two possible values of x is:
If m and n are nonzero integers and 390m = 150n, then mn must be divisible by
A is the average (arithmetic mean) of the first 7 positive multiples of 6 and B is the median of the first 3 positive multiples of positive integer n. If the value of A^2 – B^2 is zero, what is the value of n?
Two pipes P and Q can fill a cistern in 10 and 25 minutes respectively. Both are opened together, but at the end of 5 minutes the first is turned off. How much longer will the cistern take to fill?
4 litres of water is mixed in certain amount of pure milk whose cost is Rs. 3 per litre. If the dishonest milkman earns a profit of 20% by selling the mixture at initial price then what is the quantity of pure milk obtained by the customer?
When two coins are tossed,Find the probability of getting all tails?
Ravi purchased 20 dozens of toys at the rate of Rs. 340 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?
Let x, y and z be distinct integers, x and y are odd and positive, and z is even and positive. Which one of the following statements cannot be true?
Boy sells a book for Rs. 450 he gets a loss of 10%, find CP of the book?
The radius of a cylindrical vessel is 7cm and height is 3cm. Find the whole surface of the cylinder?
What will $2000 amount to in three years if it is invested at 20% per year compound interest, with the interest being compounded annually?
Solve the equation for x : 6x - 27 + 3x = 4 + 9 - x?
Pipes A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in:
In a certain store, the profit is 320% of the cost. If the cost increases by 40% but the selling price remains constant, approximately what percentage of the selling price is the profit
A family consists of grandparents, parents and three grand children. The average age of the grandparents is 67 years, that of the parents is 37 years and that of the grandchildren is 6 years. What is the average age of the family?
A starts a business with a capital of Rs. 85,000. B joins in the business with Rs.42500 after some time. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?
A train 240 m in length crosses a telegraph post in 16 seconds. The speed of the train is?
A & B throws a pair of dice and winner is one who gets a sum of 9 first.if A starts throwing first Then what is the ratio of A winning over B?
A boy wants to go abroad by boat and return by flight. He has a choice of 8 different boat to go and 6 flight to return. In how many ways, can the boy perform his journey?
A man is standing on a railway bridge which is 180 m long. He finds that a train crosses the bridge in 20 seconds but himself in 8 seconds. Find the length of the train and its speed.
How many ways are there to arrange the letters in the word accessibility ?
Sam and Nik start from A and B respectively at the same time and travel towards each other at constant speeds along the same route. Sam meets Nik at point C on the road which is 600m away from starting point A and 400m away from point B. The speed of Sam is 50 m/m(meter/minute). How much time did Sam take to cover the distance between A and B?
A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent?
The present average age of a family of five members is 26 years. If the present age of the youngest member in the family is ten years, then what was the average age of the family at the time of the birth of the youngest member ? (Assume no death occurred in the family since the birth of the youngest)?
In a school the number of girls is 15 more that that of the boys. now if 19% of the girls were newly joined and 25% of the boys were newly joined the number of girls is 9 more than that of the boys how many girls and boys were there?
Rose made a part payment of $300 toward buying a brand new car, which represents 5% of the total cost of the car, how much remains to be paid?
A certain list of 100 data has an average (arithmetic mean) of 7 and a standard deviation of d, where d is positive. Which of the following pairs of data, when added to the list, must result in a list of 104 data with standard deviation less than d?
If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is?
Pipe A can fill a tank in 16 hrs and pipe B can fill it in 24 hrs. If both the pipes are opened in the empty tank. In how many hours will it be fill 5/4th of that tank?
The area of the Rest room is 40 m2 that of a longer wall 10 m2 and of the shorter wall 1 m2, find the edge of the new cube?
A parts store is having a store-wide sale of 10% off all merchandise. An out-of-stock part can be backordered, but at a 20% fee. If a customer orders an out-of-stock part whose presale price was $40, how much will he pay?
An ice cream store received shipments of ingredients on Tuesday and Wednesday. Tuesday's shipment had 6 different packages, with an average (arithmetic mean) of 11 and 2/3 pounds. Wednesday's shipment included 7 packages, weighing an average of 9 and 3/7 pounds. What was the average package weight, in pounds, of the shipments received on both days?
If 2464 / 1.12 = 2200, then 246.4 / 11.2 is equal to?
Fresh grapes contain 90% by weight while dried grapes contain 20% water by weight. What is the weight of dry grapes available from 25 kg of fresh grapes?
On flipping 3 coins together what is the outcomes for at least One tail and three heads?
An agent wants to sell x% of a list of 10,000 apartments in a residential area. After market price decreases, the agent must reduce this selection by (x − 8)%. In terms of x, how many apartments will he be able to sell?
If four coins are tossed, the probability of getting two heads and two tails i
A boat crossed a lake from North to East at the speed of 7 km/h, entered a river and covered twice as much distance going upstream at 6 km/h. It then turned around and stopped at the south shore of the lake. If it averaged 3.8 km/h that day, what was its approximate downstream speed?
At a dinner party,3 people are to be seated around a circular table. Two seating arrangements are considered different only when the positions of the people are different relative to each other. What is the total number of different possible seating arrangements for the group?
A man can swim in still water at 9 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
If w/x = 1/3 and w/y = 4/15, then (x + y)/y =
In a city, 40% of the adults are illiterate while 85% of the children are literate. If the ratio of the adults to that of the children is 2 : 3, then what percent of the population is literate ?
If x+y=4 and x2y3 + y2x3=36, what is the value of xy?
Trapezoid JKLM in the x-y plane has coordinates J = (–2, –1), K = (–2, 1), L = (6, 7), and M = (6, –1). What is its perimeter?
The two lines y = x and x = -2 intersect on the coordinate plane. If z represents the area of the figure formed by the intersecting lines and the x-axis, what is the side length of a cube whose surface area is equal to 6z?
The average of runs of a cricket player of 20 innings was 32. How many runs must he make in his next innings so as to increase his average of runs by 6 ?
300 × ? + (12 + 4) × 1/8 = 602
Walking at the rate of 4 kmph a man cover certain distance in 2 hr 45 min. Running at a speed of 16.5 kmph the man will cover the same distance in.
If C is a whole number, C+1 is a whole number after that. If A is a whole number, what is a whole number before that?
A can do a piece of work in 4 hours; B and C together can do it in 2 hours, which A and C together can do it in 2 hours. How long will B alone take to do it?
Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm.
Adam borrowed some money at the rate of 6% p.a. for the first two years, at the rate of 9% p.a. for the next three years, and at the rate of 14% p.a. for the period beyond four years. If he pays a total interest of 11,900 at the end of nine years, how much money did he borrow?
A man has Rs. 544 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
If r>0, which of the following must be true?
A train of 24 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.5 km long?
A motorcyclist started riding at highway marker A, drove 120 miles to highway marker B, and then, without pausing, continued to highway marker C, where she stopped. The average speed of the motorcyclist, over the course of the entire trip, was 20 miles per hour. If the ride from marker A to marker B lasted 3 times as many hours as the rest of the ride, and the distance from marker B to marker C was half of the distance from marker A to marker B, what was the average speed, in miles per hour, of the motorcyclist while driving from marker B to marker C?
The average weight of a class is x pounds. When a new student weighing 90 pounds joins the class, the average decreases by 1 pound. In a few months the student’s weight increases to 110 pounds and the average weight of the class becomes x + 4 pounds. None of the other students’ weights changed. What is the value of x?
Margaret is 10 years more than twice the age of his son. The age of son is 12. Find the age of mother and find the difference between their ages
Tina’s cat weighs 2.6 kilograms. Her dog weighs 6 times as much as her cat. How much does her dog weigh in kilograms?
If it takes 70 workers 3 hours to disassemble the exhibition rides at a small amusement park, how many hours would it take 30 workers to do this same job?
g(x) is defined as the product of all even integers k such that 0 < k ≤ x. For example, g(14) = 2 × 4 × 6 × 8 × 10 × 12 × 14. If g(e) is divisible by 4^11, what is the smallest possible value for e?
A rectangular grass field is 75 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.2 per sq m?
Due to an increase in 30% in the price of eggs, 3 eggs less are available for Rs. 7.80. Find the present rate of eggs per dozen.
Which of the following could be the value of x, if |-6x + 24| = 54?
Juan is a gold medalist in athletics. In the month of May, if Juan takes 11 seconds to run y yards, how many seconds will it take him to run x yards at the same rate?
Sonika deposited Rs.8000 which amounted to Rs.9200 after 3 years at simple interest. Had the interest been 2.5% more. She would get how much?
There are between 500 and 510 cards in a collection of cards. If they are counted out 3 at a time, there are 2 left over, but if they are counted out 4 at a time, there is 1 left over. How many cards are in the collection?
Solve:- 555 x 555 x 555 + 555 x 555 x 555 = ?(555 x 555 - 555 x 555 + 555 x 555)
A fair 2 sided coin is flipped 4 times. What is the probability that tails will be the result at least twice, but not more than 4 times?
Rs.590 is divided amongst A, B, C so that 5 times A's share, six times B's share and eight times C's share are all equal. Find C's share?
Find the value of 72516 x 9999 = m?
What is the value of 4^5+4^4?
If a truck is traveling at a constant rate of 54 kilometers per hour, how many seconds will it take the truck to travel a distance of 600 meters? (1 kilometer = 1000 meters)
When a number is divided by 6 &then multiply by 12 the answer is 15 what is the no.?
For all even integers n, h(n) is defined to be the sum of the even integers between 4 and n, inclusive. What is the value of h(18)/h(10) ?
A is thrice as efficient as B and is, therefore, able to finish a piece of work 10 days earlier than B. In how many days A and B will finish it together?
On multiplying a number by 7, the product is a number each of whose digits is 3. The smallest such number is:
By selling 50 meters of cloth. I gain the selling price of 15 meters. Find the gain percent?
What decimal of an hour is a second ?
In an election a candidate who gets 84% of the votes is elected by a majority of 476 votes. What is the total number of votes polled?
The Shopkeeper increased the price of a product by 25% so that customer finds it difficult to purchase the required amount. But somehow the customer managed to purchase only 64% of the required amount. What is the net difference in the expenditure on that product?
When running a mile during a recent track meet, Nuria was initially credited with a final time of 3 minutes, 44 seconds. Shortly after her run, officials realized that the timing mechanism malfunctioned. The stopwatch did not begin timing her until 11/25 of a minute after she began to run. If the time was otherwise correct, how long did it actually take Nuria to run the mile?
In how many ways can the letters of the word CAVERN be arranged in a row so that the vowels appear in alphabetic order?
If two letters are chosen at random (without replacement) from the word DANCE, what is the probability that none of the letters are vowels?
A train running at the speed of 60 km/hr crosses a pole in 15 seconds. Find the length of the train.
Mrs. Rodger got a weekly raise of $147. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.
Calculate how many seconds it will take for 4 bells to toll together again, given that they begin to toll together respectively at the intervals of 5, 6, 10 and 12 seconds. ?
In a certain archery competition, points were awarded as follows: the first place winner receives 11 points, the second place winner receives 7 points, the third place winner receives 5 points and the fourth place winner receives 2 points. No other points are awarded. John participated several times in the competition and finished first, second, third, or fourth each time. The product of all the points he received was 38500. How many times did he participate in the competition?
What is the area of a square field whose diagonal of length 22 m?
Two cars are traveling towards each other. If car A is traveling at a speed of 50 mph and car B is traveling 12% slower, how much time will it take the cars to meet if the initial distance between the two is 825 miles?
The cost of 2 chairs and 3 tables is Rs.1700. The cost of 3 chairs and 2 tables is Rs.1200. The cost of each table is more than that of each chair by?
Trapezoid JKLM in the x-y plane has coordinates J = (–2, –3), K = (–2, 1), L = (6, 7), and M = (6, –3). What is its perimeter?
If 6 (A's capital) = 8 (B's capital) = 16 (C's capital). Then the ratio of their capitals is?