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big_math_dataset

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A train 110 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
A pupil's marks were wrongly entered as 83 instead of 63. Due to the average marks for the class got increased by half. The number of pupils in the class is?
If the sum and difference of two numbers are 20 and 10 respectively, then the difference of their square is:
The compound interest earned by Sunil on a certain amount at the end of two years at the rate of 5% p.a. was Rs.492. Find the total amount that Sunil got back at the end of two years in the form of principal plus interest earned.
If p<0, which of the following must be true?
A man can row with a speed of 12 kmph in still water. If the stream flows at 11 kmph, then the speed in downstream is?
What is the minimum number of square marbles required to tile a floor of length 2 metres 89 cm and width 3 metres 74 cm?
If x and y are different integers and x^2 = xy, which of the following must be true ? I. x = 1 II. y = 0 III. x = 0
The sum of the numbers is 110. If the first number be twice the second and third number be one-third of the first, then the second number is:
If the sides of a triangle are 39 cm, 32 cm and 10 cm, what is its area?
A reduction in the price of petrol by 10% enables a motorist to buy 5 gallons more for $250. Find the original price of petrol?
A train running at the speed of 60 km/hr crosses a pole in 21 sec. What is the length of the train?
Running at their respective constant rate, machine X takes 2 days longer to produce w widgets than machines Y. AT these rates, if the two machines together produce 5w/4 widgets in 3 days, how many days would it take machine X alone to produce 1w widgets.
Mark is playing poker at a casino. Mark starts playing with 120 chips, 20% of which are $100 chips and 80% of which are $20 chips. For his first bet, Mark places chips, 10% of which are $100 chips, in the center of the table. If 70% of Mark's remaining chips are $20 chips, how much money did Mark bet?
Walking at 75% of his usual speed a man takes 24 minutes more to cover a distance. What is his usual time to cover this distance?
Jason is 4 times older than Bob at present. 8 years ago Jason was 12 times older. How old are Bob?
Out of a total of 1,000 employees at a certain corporation, 52 percent are female and 40 percent of these females work in research. If 50 percent of the total number of employees work in research, how many male employees do NOT work in research?
For what value of 'm' will the quadratic equation x2 - mx + 4 = 0 have real and equal roots?
What is the place value of 6 in the numeral 6259
A jar contains 5 black and 2 white balls. If you pick two balls at the same time, what's the probability that one ball is black and one is white?
This is how Edward’s Lotteries work. First, 9 different numbers are selected. Tickets with exactly 4 of the 9 numbers randomly selected are printed such that no two tickets have the same set of numbers. Finally, the winning ticket is the one containing the 4 numbers drawn from the 9 randomly. There is exactly one winni...
if m>0 and y is m percent of x, then, in terms of m, x is what percent of y?
Sebastian bought a meal at a restaurant and left a 15% tip. With the tip, he paid exactly $35.88. How much did the meal cost without the tip?
A man takes 5 5 hours 45 45 min in walking to a certain place and riding back. He would have gained 2 2 hours by riding both ways. The time he would take to walk both ways is
If the average of seven numbers is 35. If one is included. The average become 40. The included number is:
Forty ladies and fifty gentlemen are present at a party. There are 20 couples among them. If a lady and a gentleman is selected at random, what is the probability that they will be not be a couple?
Factory X's bulbs work for over 5000 hours in 75% of cases, whereas factory Y's bulbs work for over 5000 hours in 65% of cases. It is known that factory X supplies 70% of the total bulbs available. What is the chance that a purchased bulb will work for longer than 5000 hours?
A certain tire company can produce tires at a cost of $22,500 per batch plus $11 per tire. The company can sell tires to the wholesaler at a cost of $20 per tire. If a batch of 15,000 tires is produced and sold, what is the company’s profit per tire?
A sum of Rs. 1360 has been divided among A, B and C such that A gets of what B gets and B gets of what C gets. B's share is:
Every Monday, Marina eats one croissant and every Tuesday she eats two croissants. On each subsequent day of the week, she eats a number of croissants equal to the sum of the croissants eaten on the two previous days, with the exception that if she eats more than four croissants on any particular day, the next day she ...
Two stations A and B are 110 km apart on a straight line. One train starts from A at 4 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 38 years now, the son's age five years back was:
64, 81, 100, 144, 196, ?, F ind the missing number(?).
A batsman makes a score of 64 runs in the 16th innings and thus increased his average by 3. Find his average after the 16th inning?
If 2x = 3y = 10, then 15xy = ?
The ratio of three numbers is 5:3:4 and their sum is 108. The second number of the three numbers is?
In a ratio which is equal to 2:4, if the antecedent is 50, then the consequent is?
The vertices of a rectangle in the standard (x,y) coordinate place are (0,0), (0,4), (7,0) and (7,4). If a line through (4,4) partitions the interior of this rectangle into 2 regions that have equal areas, what is the slope of this line?
Beginning in Town A, Biker Bob rides his bike 8 miles west, 5 miles north, 4 miles east, and then 15 miles north, to Town B. How far apart are Town A and Town B? (Ignore the curvature of the earth.)
A tourist purchased a total of $1,100 worth of traveler’s checks in $10 and $50 denominations, During the trip the tourist cashed 7 checks and then lost all of the rest. If the number of $10 checks cashed was one more or one less than the number of $50 checks cashed, what is the minimum possible value of the checks tha...
Find the cost of fencing around a circular field of diameter 40 m at the rate of Rs.3 a meter?
36 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work?
The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 80 metres?
The average monthly salary of 660 workers in a factory is Rs. 380. The average monthly salary of officers is Rs. 2100 and the average monthly salary of the other workers is Rs. 340. Find the number of other workers.
There are 6 fictions and 6 non-fictions. How many cases are there such that 2 fictions and 2 non-fictions are selected from them?
mixture contains alcohol and water in the ratio 4 : 3. If 4 liters of water is added to the mixture, the ratio becomes 4: 5. Find the quantity of alcohol in the given mixture.
If the value of a piece of office decreases by 10% while the new tax rate on the office represent 110% of the original tax rate, what is the effect on the taxes?
A, B and C invest in a partnership in the ratio: 7/2, 4/3, 6/5. After 4 months, A increases his share 50%. If the total profit at the end of one year be Rs. 16,200, then what is B's share in the profit?
The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle?
Connie has a number of gold bars, all of different weights. She gives the 24 lightest bars, which weigh 45% of the total weight, to Brennan. She gives the 13 heaviest bars, which weigh 26% of the total weight, to Maya. She gives the rest of the bars to Blair. How many bars did Blair receive?
If thrice the age of the son is added to the father then the sum would be 56. But if twice the age of father is added to the son then the total would be 72. Find the ages of father and son.
A box contains 8 red marbles, 6 green marbles & 10 pink marbles. One marble is drawn at random from box. What is the probability that the marble drawn is green?
A sum of money becomes double itself in 8 years at simple interest. How many times will it become 10 years at the same rate?
If x > 0, which of the following could be true? I. x^3 > x^2 II. x^2 = x III. x^2 > x^3
A boat can move upstream at 25 kmph and downstream at 35 kmph, then the speed of the current is?
Company A has an annual budget for a certain project, and 1/4 of this budget was spent during the first quarter of the year. If 1/8 of the remainder of the budget was spent during the second quarter, what fraction of the budget was left at the end of the second quarter?
Country X taxes each of its citizens an amount equal to 12 percent of the first $40,000 of income, plus 20 percent of all income in excess of $40,000. If a citizen of Country X is taxed a total of $8,000, what is her income?
A professor will assign seven projects to three students. If two students each got 2 projects, and the other one got 3 projects, how many ways are possible?
If C + D = 9 and C and D are any numbers, which of the following is a possible value for 2C+3D?
A & B are two towns. A person covers the distance from A to B on cycle at 17kmph and returns to A by a boat running at a uniform speed of 8kmph. His average speed for the whole journey is
Jane makes toy bears. When she works with an assistant, she makes 80 percent more bears per week and works 10 percent fewer hours each week. Having an assistant increases Jane’s output of toy bears per hour by what percent E?
A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by:
To fill an art exhibit, the gents in an art course are assigned to create one piece of artwork each in the following distribution: 1/3 are sculptures, 1/8 are oil paintings, 1/2 are watercolors, and the remaining 10 pieces are mosaics. How many gents are in the art class?
Each of the 20 boxes in a certain shipment weighs either 10 pounds or 20 pounds, and the average (arithmetic mean) weight of the boxes in the shipment is 18 pounds. If the average weight of the boxes in the shipment is to be reduced to 12 pounds by removing some of the 20-pound boxes, how many 20-pound boxes must be re...
fill in ht blank: (a) the point with coordinates (0,0) is called ____ of a rectangular coordinate system, (b) to find the y-intercept of a line, we let ___ equal ___ and solve for ___; to find x- intercept , we let ____ equal 0 and solve for___
Jack and Paul are running 1000m. Jack runs 1.5Km/hr faster than Paul but also finishes the race 1.5 sec earlier. What is the speed of Jack??
A shop keeper marked 20% above the cost price and offered 15% discount then find it's net profit?
If q is not equal to zero, andq+1/q = 3, then what is the value of q^4 + (1/q)^4?
Pipes A and B can fill a tank in 9 and 6 hours respectively. Pipe C can empty it in 18 hours. If all the three pipes are opened together, then the tank will be filled in?
A batsman had a certain average of runs for 16 innings. In the 17th innings, he made a score of 87 runs thereby increasing his average by 3. What is his average after 17 innings?
If x ≠ 0 and (y-x)/x=(y+x)/y, which of the following expressions is equal to its opposite?
Approximately how many cubic feet of water are needed to fill a circular swimming pool that is 70 feet across and 9 feet deep?
Three 6 faced dice are thrown together. The probability that all the three show the same number on them is
Solve the given two equations and find the inequality of X and Y. (a) x^2-1=0 and (b) y^2+4y+3=0
After decreasing 50% in the price of an article costs Rs.1200. Find the actual cost of an article?
In f is a positive integer smaller than 200 and (14f)/60 is an integer, then f has how many different positive prime factors?
The perimeter of a semi circle is 198 cm then the radius is?
. A boy has six trousers and 8 shirts. In how many different ways can he select a trouser and a shirt?
(0.8)(power 3) - (0.5)(power 3)/ (0.8)(power 2) + 0.40 + (0.5)(power 2) is:
If the value of a piece of plaza decreases by 10% while the new tax rate on the plaza represent 110% of the original tax rate, what is the effect on the taxes?
A dealer marks his goods 20% above cost price. He then allows some discount on it and makes a profit of 8%. The rate of discount is:
A solution of cough syrup has 15% alcohol. Another solution has 5% alcohol. How many litres of the second solution must be added to 20 litres of the first solution to make a solution of 10% alcohol?
A librarian has a set of nine books, including four different books about Abraham Lincoln. The librarian wants to put the nine books on a shelf with the four Lincoln books next to each other, somewhere on the shelf among the other five books. How many different arrangements of the nine books are possible?
Which of the following is a prime number ??
The perimeter of an equilateral triangle is 60. If one of the sides of the equilateral triangle is the side of an isosceles triangle of perimeter 55, then how long is the base of isosceles triangle?
One fourth of one third of two fifth of a number is 15. What will be40% of that number
Pipe A fills a tank of capacity 800 liters at the rate of 40 liters a minute. Another pipe B fills the same tank at the rate of 30 liters a minute. A pipe at the bottom of the tank drains the tank at the rate of 20 liters a minute. If pipe A is kept open for a minute and then closed and pipe B is open for a minute and ...
What was the day of the week on, 16th July, 1776?
Each of the positive integers a and c is a four-digit integer. If each of the digits 0 through 9 appears in one of these three integers, what is the maximum possible value of the sum of a and c?
In a series of consecutive numbers, 26 is the eighth smallest number and 25 is the tenth largest number. What is the range of the series?
The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 500 resolutions.
Best friends Sprite and Icey have are playing a game of marbles. They invite 16 of their friends to play with them. There are 36 marbles in the bag. If all 18 people are playing, how many marbles does each person get?
If a 3-digit integer is selected at random from the integers 100 through 199, inclusive, what is the probability that the second digit is two greater than the first digit and the third digit is less than the second digit?
Find the odd man out 31, 37, 41, 45, 55, 58, 61, 67
The C.P of 15 books is equal to the S.P of 18 books. Find his gain% or loss%?
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?
A straight pipe 1 yard in length was marked off in halves and also in thirds. If the pipe was then cut into separate pieces at each of these markings, which of the following gives all the different lengths of the pieces, in fractions of a yard?
In a certain game, a large container is filled with red, yellow, green, and blue beads worth, respectively, 7, 5, 3, and 2 points each. A number of beads are then removed from the container. If the product of the point values of the removed beads is 147,000, how many red beads were removed?
Find the sum lend at C.I. at 5 p.c per annum will amount to Rs.441 in 2 years?
Two water pumps, working simultaneously at their respective constant rates, took exactly five hours to fill a certain swimming pool. If the constant rate of one pump was 1.5 times the constant rate of the other, how many hours would it have taken the faster pump to fill the pool if it had worked alone at its constant r...