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big_math_dataset

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A man invested Rs.1552 in a stock at 97 to obtain an income of Rs.128. What is the dividend from the stock?
Krishnakumar, Raghunandan, Chinnan and Aibak had an interesting discussion on the following: Find the range of real values of x not satisfying even one of the inequalities 6x - 8 > 40 and 9x - 19 > 80"
If x < y < 0, which of the following must be true?
If x is a positive integer, then the least value of x for which x! is divisible by 10,000 is? Can someone please explain intuitively what the question is asking?
Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed? A. B. C. D. E.
For any real number x, the operatoris defined as: (x) = x(2 − x) If p + 1 =(p + 1), then p =
9 people decided to split the restaurant bill evenly. If the bill was $514.16 dollars, how much money did they 1 cent is the smallest unit?
A man bought a horse and a cart. If he sold the horse at 10 % loss and the cart at 20 % gain, he would not lose anything; but if he sold the horse at 5% loss and the cart at 5% gain, he would lose Rs. 10 in the bargain. The amount paid by him was Rs.­­­­_______ for the horse and Rs.________ for the cart
Two boys starts from the same place walking at the rate of 4.5 kmph and 5.5 kmph respectively in the same direction. What time will they take to be 9.5 km apart?
A and B walk around a circular track. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. If they start at 8 a.m. from the same point in opposite directions, how many times shall they cross each other before 9.00 a.m.?
Find the largest number of four digits which is exactly divisible by 27,18,12,21
IF 2+7=57 ; 3+6=63 ; 5+9=206 Then 5+8=?
A train running at the speed of 52 km/hr crosses a pole in 9 seconds. Find the length of the train?
Every person in a certain group is either a Lakers fan or a Warriors fan, but not both. The ratio of Lakers fans to Warriors fans is 9 to 4. If 40 Lakers fans change teams to become Warriors fans, the ratio of Warriors fans to Lakers fans will be 1 to 1. How many people are in the group?
If Jesse flips a coin 7 times in a row, what is the probability that the result will be 2 heads and 2 tails at all the times ?
The area of the square formed on the diagonal of a rectangle as its side is 108 1/3 % more than the area of the rectangle. If the perimeter of the rectangle is 28 units, find the difference between the sides of the rectangle?
A certain car dealership sells economy cars, luxury cars, and sport utility vehicles. The ratio of economy to luxury cars is 3:1. The ratio of economy cars to sport utility vehicles is 4:3. What is the ratio of luxury cars to sport utility vehicles?
Bookman purchased 55 copies of a new book released recently, 10 of which are hardback and sold for $20 each, and rest are paperback and sold for $10 each. If 14 copies were sold and the total value of the remaining books was 460, how many paperback copies were sold?
If a car had increased its average speed for a 210 mile journey by 5 mph, the journey would have been completed in one hour less. What was the original speed of the car for the journey?
A recycling facility is staffed by 10 floor workers and one manager. All of the floor workers are paid equal wages, but the manager is paid n times as much as a floor worker. If the manager’s wages account for 1/10 of all wages paid at the facility, what is the value of n?
If a car went the first third of the distance at 80 kmh, the second third at 24 kmh, and the last third at 44 kmh, what was the average speed of the car for the entire trip?
In a certain candy store, 22% of the customers are caught sampling the candy and are charged a small fine, but 20% of the customers who sample the candy are not caught. What is the total percent of all customers who sample candy?
For any positive integer n, the sum of the first n positive integers equals n(n+1)/2. What is the sum z of all the even integers between 99 and 301?
Jhon's average (arithmetic mean) test score on 5 tests is 87. What must be the Jhon's score on a 6th test for the Jhon's average score on the 6 tests to be 85?
A parking garage rents parking spaces for $10 per week or $42 per month. How much does a person save in a year by renting by the month rather than by the week?
The distance that light travels in one year is approximately 5,870,000,000,000 miles. The distance light travels in 100 years is:
In how many different ways can the letters of the word FLUTE be arranged in such a way that the vowels occupy only the even positions?
The perimeters of two squares are 80 cm and 32 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares?
N is one of the numbers below. N is such that when multiplied by 0.75 gives 1. Which number is equal to N?
The integer Q has a tens digit of 6 and a units digit of 7. The units digit of integer y is 8. The product of Q and y has a tens digit of 8. Which of the following is a possible tens digit of integer y?
In how many years will a sum of money doubles itself at 5% per annum on simple interest?
A saxophone player practices 2 hours a day Sunday through Saturday of one week, then Sunday through Friday of a second week. How many hours would she need to practice on Saturday and Sunday combined in order to have practiced an average (arithmetic mean) of 3 hours a day over the two week period?
Pat, kate and mark charged a total of 144 hours to a certain project . If pat charged twice as much time to the project as kate and 1/3 as much times as mark, how many more hours did mark charge to the project than kate.
While working alone at their constant rates, computer X can process 240 files in 12 hours, and computer Y can process 240 files in 3 hours. If all files processed by these computers are the same size, how many hours would it take the two computers, working at the same time at their respective constant rates, to process...
On one side of a coin there is the number 0 and on the other side the number 1. What is the probability that the sum of three coin tosses will be 2 if a 1 was the value of the first coin flip ?
A number when divided by 3 leaves a remainder 1. When the quotient is divided by 2, it leaves a remainder 1. What will be the remainder when the number is divided by 6?
How much interest will $10,000 earn in 9 months at an annual rate of 3%?
An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq m?
The length of a rectangular floor is more thanits breadth by 200%. If Rs.324 is requiredto paint the floor at the rate of Rs.3/sq m, what would be the length of the floor?
There are 21 balls in a box: 8 balls are green, 8 are blue and 5 are white. Then 1 green and 1 blue balls are taken from the box and put away. What is the probability that a blue ball is selected at random from the box?
A batch of cookies was divided amomg 3 tins: 3/4 of all the cookies were placed in either the blue or the green tin, and the rest were placed in the red tin. If 1/4 of all the cookies were placed in the blue tin, what fraction of the cookies that were placed in the other tins were placed in the green tin
When Greenville State University decided to move its fine arts collection to a new library, it had to package the collection in 20-inch by 20-inch by 15-inch boxes. If the university pays $0.90 for every box, and if the university needs 3.06 million cubic inches to package the collection, what is the minimum amount the...
The sequence x1, x2, x3,..., is such that Xn = 1/n - (1/(n+1)). What is the sum of the first 5 terms of the sequence?
162 students represent x percent of the boys at a school. If the boys at the school make up 50% of the total school population of x students, what is x?
A, B and C can complete a piece of work in 24, 6 and 12 days respectively. Working together, they will complete the same work in:
At what time between 4 and 5 o’clock will the hands of a watch point in opposite directions?
Difference between the length &breadth of a rectangle is 25 m. If its perimeter is 206 m, then its area is?
Each person who attended a company meeting was either a stockholder in the company, an employee of the company, or both. If 55 percent of those who attended the meeting were stockholders and 61 percent were employees, what percent were stockholders who were not employees?
In what time will a train 200 m long cross an electric pole, it its speed be 144 km/hr?
Machine P and Machine Q are each used to manufacture 550 sprockets. It takes Machine P 10 hours longer to produce 550 sprockets than Machine Q. Machine Q produces 10% more sprockets per hour than Machine A. How many sprockets per hour does Machine A produce?
A car drives 40 miles on local roads at 20 mph, and 180 miles on the highway at 60 mph, what is the average speed of the entire trip?
Tim and Jim enter into a partnership by investing $700 and $300 respectively. At the end of one year, they divided their profits such that a third of the profit is divided equally for the efforts they have put into the business and the remaining amount of profit is divided in the ratio of the investments they made in t...
A certain characteristic in a large population has a distribution that is symmetric about the mean m. If 68% of the distribution lies one standard deviation g of the mean, what percent of the distribution is less than m+g?
What is 92% of 4/5?
If the arithmetic mean of p and q is 10 and the arithmetic mean of q and r is 20, what is the value of r-p?
A coin is tossed live times. What is the probability that there is at the least one tail?
A department of ten people - five men and five women - needs to send a team of five to a conference. If they want to make sure that there are no more than three members of the team from any one gender, how many distinct groups are possible to send?
The different of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and 15 as remainder.What is the smaller number ?
An error 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is
A man decides to buy a nice horse. He pays $60 for it, and he is very content with the strong animal. After a year, the value of the horse has increased to $70 and he decides to sell the horse. However, already a few days later he regrets his decision to sell the beautiful horse, and he buys it again. Unfortunately, he...
A company that ships boxes to a total of 12 distribution centers uses color coding to identify each center. If either a single color or a pair of two different colors is chosen to represent each center and if each center is uniquely represented by that choice of one or two colors, what is the minimum number of colors n...
A student's mark was wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by 1/2. What is the number of students in the class?
A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
Anne traveled from City A to City B in 4 hours, and her speed was between 29 miles per hour and 61 miles per hour. John traveled from City A to City B along the same route in 2 hours, and his speed was between 50 miles per hour and 61 miles per hour. Which of the following could be the distance, in miles, from City A t...
Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Seven years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years?
John walking at 4 Kmph reaches his office 8 minutes late. If he walks at 6 Kmph, he reaches there 8 minutes earlier. How far is the office from his house?
John purchased 8kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg. How much amount did he pay to the shopkeeper?
Ram professes to sell his goods at the cost price but he made use of 800 grms instead of a kg, what is the gain percent?
The speed of a train including stoppages is 90 kmph and excluding stoppages is 120 kmph. Of how many minutes does the train stop per hour?
Find the cost of fencing around a circular field of diameter 30 m at the rate of Rs.2 a meter?
Jayant opened a shop investing Rs. 30,000. Madhu joined him 2 months later, investing Rs. 45,000. They earned a profit of Rs. 58,000 after completion of one year. What will be Madhu's share of profit?
A can contains a mixture of liquids A and B is the ratio 7:5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7:9. How many liter of liquid A was contained by the can initially?
S is the infinite sequence S1 = 2, S2 = 22, S3 = 222,...Sk = Sk–1 + 2(10k–1). If p is the sum of the first 30 terms of S, what is the ninth digit of p, counting right to left from the units digit?
Using all the letters of the word "THURSDAY", how many different words can be formed?
What is the median of a set of consecutive integers if the sum of nth number from the beginning and nth number from the end is 200?
What is the probability of getting a number less than 4 when a die is rolled?
John and Steve are speed walkers in a race. John is 12 meters behind Steve when he begins his final push. John blazes to the finish at a pace of 4.2 m/s, while Steve maintains a blistering 3.7 m/s speed. If John finishes the race 2 meters ahead of Steve, how long was John’s final push?
38 69 22 73 31 47 13 52 Which of the following numbers is greater than three fourths of the numbers but less than one fourth of the numbers in the list above?
Judges will select 4 finalists from the 8 contestants entered in a singing competition. The judges will then rank the contestants and award prizes to the 3 highest ranked contestants: a blue ribbon for first place, a red ribbon for second place, and a yellow ribbon for third place. How many different arrangements of pr...
Jack has two dice, one has six equally probable sides, labeled 1, 2, 3, 4, 5, 6, and the other has seven equally probable sides, labeled 1, 2, 3, 4, 5, 6, 7. If Jack rolls both dice what is the probability that both of the numbers will be 3?
5 men are equal to as many women as are equal to 8 boys. All of them earn Rs.120 only. Men’s wages are?
Three 6 faced dice are thrown together. The probability that all the three show the same number on them is ?
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?
Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
If x is an odd negative integer and y is an even integer, which of the following statements must be true? I. (3x + 2y) is positive integer II. (xy)^2 is positive integer III. (y^2 - x) is negative integer
9 basketball players are trying out to be on a newly formed basketball team. Of these players, 5 will be chosen for the team. If 6 of the players are guards and 3 of the players are forwards, how many different teams of 3 guards and 2 forwards can be chosen?
If a certain coin is flipped, the probability that the coin will land heads is 1/2. If the coin is flipped 5 times, what is the probability that it will land heads up on the first 2 flips but not on the last 3 flips?
Six children — A, B, C, D, E, and F — are going to sit in six chairs in a row. Child E must be somewhere to the left of child F. How many possible configurations are there for the children?
If the first day of a year (other than leap year) was Tuesday, then which was the last day of that year?
If f(x)= 5x^2- 2x+6 and g(y)= 3y-6, then g(f(x))
Bullock likes to keep a spare tyre in his car every time. On a certain day, he travels 1, 00,000 km and just to make the most of all the tyres, he changes the tyres between his journey such that each tyre runs the same distance. What is the distance traveled by each tyre?
If x/y = 0.3, then (2x - y)/(2x + y) = ?
Suppose you want to buy three loaves of bread that cost $1.50 each and a jar of peanut butter that costs $4. A jar of jelly is $2.75, but you don’t need any jelly. You have $10. How much money will you have left over?
The side of a rhombus is 28 m and length of one of its diagonals is 12 m. The area of the rhombus is?
From the set of numbers x, y, t, z and w, how many different combinations can we have without the t in them? Ex:. (x,y), (x), (w,z,y,x), etc and (x,y)=(y,x)
A number is four less than six times the other number. If the sum of both the number is 38, what are the numbers?
How many digits are in (8×10^8)(10×10^10)?
In a 200 meters race A beats B by 35 m or 7 seconds.A’s time over the course is :
John makes $40 a week from his job. He earns a raise and now makes $80 a week. What is the % increase?
In a theatre all rows have same no. Of . One family buys 10 tickets of first two row. 3 members want to sit in first row and 2 in second row. In how many ways they can be seated.