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big_math_dataset

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Which of the following is equal to (x-1)!/(x-2)!?
A sum was put at simple interest at a certain rate for 10 years . Had it been put at 5% higher rate , it would have fetched Rs.150 more. What was the Sum?
A cylindrical water tower with radius 14 m and height 20 m is 3/4 full at noon. Every minute, .08π m3 is drawn from tank, while .03π m3 is added. Additionally, starting at 1pm and continuing each hour on the hour, there is a periodic drain of 4π m3. From noon, how many hours will it take to drain the entire tank?
50^51^52 /11
If there are only 2 wheelers and 4 wheelers parked in a school located at the heart of the city, find the number of 4 wheelers parked there if the total number of wheels is 66?
There are 5 married couples and a group of three is to be formed out of them; how many arrangements are there if a husband and wife may not be in the same group?
A bat is bought for Rs.400 and sold at a gain of 20% find its selling price
On dividing 181 by a number, the quotient is 9 and the remainder is 1. Find the divisor?
Renuka bought an electric drill at 90% of the regular price. She paid $450 for the drill. What was the regular price?
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train?
X can finish a work in 25 days. Y can finish the same work in 20 days. Y worked for 12 days and left the job. how many days does X alone need to finish the remaining work?
A tap can fill a tank in 6 hours. After half the tank is filled three more similar taps are opened. What is the total time taken to fill the tank completely?
What percent of the different arrangements of the letters of the word AFACUT are those in which the vowels appear together?
How many bricks, each measuring 100 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm?
The average (arithmetic mean) of the integers from 100 to 400, inclusive, is how much greater than the average of the integers from 50 to 250, inclusive?
If log10 2 = 0.3010, then log2 10 is equal to:
The ages of Patrick and Michael are in the ratio of 3 : 5 and that of Michael and Monica are in the ratio of 3 : 5. If the sum of their ages is 98, what is the difference between the ages of Patrick and Monica?
At what rate percent per annum will the simple interest on a sum of money be 2/5 of the amount in 10 years?
The perimeter of one square is 48 cm and that of another is 20 cm. Find the perimeter and the diagonal of a square which is equal in area to these two combined?
Machine–A produces 40% of the total output and Machine-B produces 60% of the total output. An average of nine units out of a thousand goods manufactured by Machine-A and one unit of 200 units produced by Machine-B prove to be defective. What is the probability that a unit chosen at random from the total daily output of...
Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800, Deepak's share is?
The area of a circle is four times its circumference. What is the diameter of the Circle?
X starts a business with Rs.45000. Y joins in the business after 3 months with Rs.36000. What will be the ratio in which they should share the profit at the end of the year?
Sonika deposited Rs.8000 which amounted to Rs.9200 after 3 years at simple interest. Had the interest been 1% more. She would get how much?
The square root of 64009 is:
QUANT 4-PACK SERIES Problem Solving Pack 4 Question 2 For every positive integer n... For every positive integer n that is greater than 1, the function t(n) is defined to be the sum of all of the odd integers from 1 to n, inclusive. The t(n) could have any of the following units digits except…?
10% of a number is added to 45, the result is the same number. Find the number?
Which of the following leads to the correct mathematical solution for the number of ways that the letters of the word BOOK could be arranged to create a four-letter code?
A certain sum is invested at simple interest at 15% p.a. for two years instead of investing at 12% p.a. for the same time period. Therefore the interest received is more by Rs. 720. Find the sum?
In a group of 4 boys and 6 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be selected?
A committee is reviewing a total of 20x black-and-white films and 8y color films for a festival. If the committee selects y/x% of the black-and-white films and all of the color films, what fraction of the selected films are in color?
Complete the numerical series by replacing the question mark with the correct numbers. 5+3+2 = 151022 9+2+4 = 183652 8+6+3 = 482466 5+4+5 = 202541 9+5+5 = ??????
The current of a stream runs at the rate of 4 kmph. A boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water?
The following list follows a peculiar pattern. Can you find it out and guess the next number? 2, 12, 36, 80, 150, 252, ?
If log1087.5 = 3.9421, then the number of digits in (875)10 is?
If a and b are positive integers, and a=5b+20, the greatest common divisor of a and b CANNOT be
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?
Median C of price of the car is 52,000. which could be the median of the other two. 35000, 44000, x, y, 57000.
A car travelling with 5/7 of its actual speed covers 42 km in 1 hr 40 min 48 sec. Find the actual speed of the car.
In how many different number of ways 5 boys and 4 girls can sit on a bench?
Three men start together to travel the same way around a circular track of 11 kilometers in circumference. Their speeds are 4, 5 and 8 kilometers per hour respectively. When will they meet at a starting point?
The batting average of a particular batsman is 58 runs in 46 innings. If the difference in his highest and lowest score is 150 runs and his average excluding these two innings is 58 runs, find his highest score.
In a certain animal population, for each of the first 3 months of life, the probability that an animal will die during that month is 1/10. For a group of 600 newborn members of the population, approximately how many would be expected to survive the first 3 months of life?
Matt is touring a nation in which coins are issued in two amounts, 2¢ and 5¢, which are made of iron and copper, respectively. If Matt has five iron coins and five copper coins, how many different sums from 1¢ to 35¢ can he make with a combination of his coins?
The rate of a certain chemical reaction is directly proportional to the square of the concentration of chemical Q present and inversely proportional to the concentration of chemical B present. If the concentration of chemical B is increased by 100 percent, which of the following is closest to the percent change in the ...
The true discount on a bill of Rs. 2460 is Rs. 360. What is the banker's discount?
According to the direction on a can of frozen orange juice concentrate is to be mixed with 3 cans of water to make orange juice . How many 6 - ounce cans of the concentrate are required to prepare 200 6-ounce servings of orange juice?
A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 40 years now, the son's age five years back was
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
A train is 360 meter long is running at a speed of 72 km/hour. In what time will it pass a bridge of 140 meter length?
It costs $3 for the first 1/3 hour to use the laundry machine at the Laundromat. After the first ¼ hour it costs $12 per hour. If a certain customer uses the laundry machine for 2 hours and 35 minutes, how much will it cost him?
If the true discount on a certain sum due 6 months hence at 15% is Rs.120. What is the banker's discount on the same sum for the same time and at the same rate?
The sum of two consecutive even integers is 26. What are the two numbers?
If 12 men can do a piece of work in 25 hours, in how many hours will 15 men do it ?
A person buys an article at Rs.500. At what price should he sell the article so as to make a profit of 20%?
A man gains 20% by selling an article for a certain price. If the sells it at double the price, the percentage of profit will be
A man is 28 years older than his son. In two years, his age will be twice the age of his son. What is the present age of his son?
Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 588 as interest at the end of the loan period, what was the rate of interest?
A rectangular grass field is 75 m * 55 m, it has a path of 3.5 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?
If Jack walked 4 miles in 1 hour and 15 minutes, what was his rate of walking in miles per hour?
The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is
If |5x-5| = 150, what is the sum of all the possible values of x?
Salesperson A's compensation for any week is $360 plus 6 percent of the portion of A's total sales above $1,000 for that week. Salesperson B's compensation for any week is 10 percent of A's total sales for that week. For what amount of total weekly sales would both salepeople earn the same compensation?
John and Beth each drove from Smallville to Crown City by different routes. John drove an an average speed of 40 miles per hour and completed the trip in 30 minutes. Beth's route was 5 miles longer, and it took her 20 minutes more than John to complete the trip. How many miles per hour was Beth's average speed on this ...
How many odd prime numbers are there less than 125?
In a stack of boards at a lumber yard, the 8th board counting from the top of the stack is immediately below the 7th board counting from the bottom of the stack. how many boards are in the stack?
A fruit seller had some oranges. He sells 40% oranges and still has 600 oranges. How many oranges he had originally?
Calculate how much time could be saved if the train would run at its usual speed, given that it ran at 3/4 of its own speed and got to its destination in 10 hours?
The jogging track in a sports complex is 1000 meters in circumference. Deepak and his wife start from the same point and walk in opposite directions at 20 km/hr and 17 km/hr respectively. They will meet for the first time in?
In a factory, an average of 50 TV's are produced per day for the fist 25days of the months. A few workers fell ill for the next 5days reducing the daily avg for the month to 43 sets/day . The average production per day for day last 5days is ?
In how many different ways can five people be seated on a five-seat bench if two of them must sit next to each other?
A survey was conducted to find out how many people in a housing colony of 144 residents could swim, dance and drive a car. It was found that the number of people who could not swim was 89, the number of people who could not dance was 100 and that the number of people who could not drive a car was 90. If the number of p...
Working alone, Printers X, Y, and Z can do a certain printing job, consisting of a large number of pages, in 12, 20, and 20 hours, respectively. What is the ratio of the time it takes Printer X to do the job, working alone at its rate, to the time it takes Printers Y and Z to do the job, working together at their indiv...
The average weight of 6 person's increases by 3.5 kg when a new person comes in place of one of them weighing 47 kg. What might be the weight of the new person?
if k is a positive integer greater than 8, which of the following must be divisible by 4?
Sometimes one is mystified at the starting reductions some people make in their price and wonders on what principle the reductions are based. To quote an example three years ago a friend offered me a used typewriter for $1024. A year later he offered me the same for $640 and last year he wanted $400 and now he is willi...
A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
In how many different number of ways 3 boys and 1 girl can sit on a bench?
Five years ago, the average age of A, B, C and D was 45 yr. with E joining them now, the average of all the five is 49 yr. How old is E?
An internet recently hired 8 new network,in addvertisement 20 network already employed.All new network cam from university A.In addition 75%of computer addvertisement came from same university A.what fraction of original 20 network addvertisement came from same univerity A? pls help to solve
The H.C.F. of two numbers is 11 and their L.C.M. is 693. If one of the numbers is 77, find the other.
John, Karen, and Luke collected cans of vegetables for a food drive. The number of cans that John collected was 1/3 the number of cans that Karen collected and 1/4 the number of cans that Luke collected. The number of cans that Luke collected was what fraction of the total number of cans that John, Karen, and Luke coll...
8 men and 14 women are working together in a field. After working for 3 days, 5 men and 8 women leave the work. How many more days will be required to complete the work ? I. 19 men and 12 women together can complete the work in 18 days. II. 16 men complete two-third of the work in 16 days III. In a day, the work done b...
What is the total gain or loss if a merchant sold two items for Rs.2100 each, and makes a profit of 18% from the first item and a loss of 15% from the second item.
If Rs. 782 be divided into three parts, proportional to 1/2:2/3:3/4, then the third part is?
Three consecutive even numbers are such that thrice the first number exceeds double the third number by four. What is the third number?
What is the largest number of infinite lines that intersect at exactly two vertices?
A river 2m deep and 45 m wide is flowing at the rate of 2 kmph the amount of water that runs into the sea per minute is?
A family consists of 2 man, 2 women and 3 transgender. The average age of the man is 67 years, that of the women is 35 years and that of the transgender is 6 years. What is the average age of the family?
How many seconds will it take for a car that is traveling at a constant rate of 90 miles per hour to travel a distance of 22 yards? (1 mile = 1,160 yards)
Sum of the two number is 14 and difference of their square is 28. Find the numbers.
When x is multiplied by 3, the result is 14 more than the result of subtracting x from 26. What is the value of x?
There are 35 kids in a play school. 26 kids play with white color balls and some kids play with yellow color balls and 19 kids play with both color balls. How many kids use yellow color balls?
One hour after Matthew started waking from r to y, a distance of 45km, Johnny started walking along the same road from y to r. 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?
When positive integer n is divided by 5, the remainder is 1. When n is divided by 7, the remainder is 3. What is the smallest positive integer k such that k+n is a multiple of 37?
Danny and Steve are running towards each other, each one from his own house. Danny can reach Steve's house in 27 minutes of running, which is half the time it takes Steve to reach Danny's house. If the two started to run at the same time, how much time longer will it take Steve to reach the halfway point between their ...
If the price of gold increases by 50%, find by how much the quantity of ornaments must be reduced, so that the expenditure may remain the same as before?
If A can be complete the piece of work in 10 days and B can complete the same piece of work in 20 days.In how many days the work can be complete if both are work together?
Sum of two numbers is 40. Two times of the first exceeds by 5 from the three times of the other. Then the numbers will be?
A can do a piece of work in 8 days. He works at it for 4 days and then B finishes it in 6 days. In how many days can A and B together finish the work?