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big_math_dataset

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Shekhar started a business investing Rs.25,000 in 1999.In 2000,he invested an additional amount of Rs.10,000 and Rajeev joined him with an amount of Rs.35,000.In 2001,Shekhar invested another additional amount of Rs.10,000 and Jatin joined them with an amount of Rs.35,000.What will be Rajeev’s share in the profit of Rs.2,10,000 earned at the end of 3 years from the start of the business in 1999 ?
The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8339 for a computer table, then what was the cost price of the computer table?
The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 2500 resolutions?
The present population of a town is 500. Population increase rate is 10% p.a. Find the population of town before 2 years?
70, 75, 80, 85, 90, 105, 105, 130, 130, 130 The list shown consists of the times, in seconds, that it took each of 10 schoolchildren to run a distance of 400 on of meters. If the standard devastation of the 10 running times is 23.4 seconds, rounded to the nearest tenth of a second, how many of the 10 running times are more than 1 standard deviation below the mean of the 10 running times?
The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be:
In the third grade of Windblown School there are 108 students, one third of them failed the math test and 1/6 failed that literature test. At least how many students failed both tests?
There are 4 more women than men on Centerville's board of education. If there are 14 members on the board, how many are women?
One urn contains two pieces of candy{one green and one red. A second urn contains four pieces of candy{one green and three red. For each urn, each piece of candy is equally likely of being picked. You pick a piece of candy from each urn and eat the two chosen candies. If you eat exactly one piece of green candy, you draw a second piece of candy from the urn still containing a green piece of candy. You now eat the candy you just chose. What is the probability that you ate two pieces of green candy?
An athlete runs 200 meters in 24 seconds. His speed is ?
In an election between the two candidates ,The candidates who gets 60% of votes polled is wined by 280 votes majority. What is the total number of votes polled?
Two numbers are in the ratio 3 : 4. If their L.C.M. is 48. what is sum of the numbers?
How many options are there for a code consisting of 2 even digits followed by 2 odd digits?
Evaluate the expression [x : (y - 3)] ⋅ (-4) - [xy + (-3)] : -1 = ? when x = -5 and y = -2
If the given two numbers are respectively 7% and 28% of a third number, then what percentage is the first of the second ?
Two trains each 250 m in length are running on the same parallel lines in opposite directions with the speed of 80 kmph and 70 kmph respectively. In what time will they cross each other completely?
If y = 35p, and p is prime, what is the greatest common factor of y and 14p, in terms of p?
A man can do a piece of work in 6days, but with the help of his son, he can finish it in 3days. In what time can the son do it alone?
Consider a set S = {2, 4, 6, 8, x, y} with distinct elements. If x and y are both prime numbers and 0 < x < 40 and 0 < y < 40, which of the following MUST be true? I. The maximum possible range of the set is greater than 33. II. The median can never be an even number. III. If y = 37, the average of the set will be greater than the median.
A circular mat with diameter 20 inches is placed on a square tabletop, each of whose sides is 30 inches long. Which of the following is closest to the fraction of the tabletop covered by the mat?
If apples are bought at the rate of 30 for Rs.100. How many apples must be sold for Rs.100 so as to gain 20%?
How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 132 m length?
Nicky and Cristina are running a 300 meter race. Since Cristina is faster than Nicky, she gives him a 12 second head start. If Cristina runs at a pace of 5 meters per second and Nicky runs at a pace of only 3 meters per second, how many seconds will Nicky have run before Cristina catches up to him?
Ifaequals the sum of the even integers from 2 to 20, inclusive, andbequals the sum of the odd integers from 1 to 19, inclusive, what is the value of (a - b)/2 ?
Replace X with the appropriate number in 4 , 5 , 14 , 15 , 24 , 25 , X
What should come in place of the question mark (?) in the following equation? 10000+ 566 = 45+ ?
By selling 15 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?
A train 500 m long can cross an electric pole in 10 sec and then find the speed of the train?
A sum at simple interests at 13 ½ % per annum amounts to Rs.2502.50 after 4 years find the sum.
Chang Li has pet cockroaches that multiply at the same rate every week. The first week he had 5, the next week he had 10, the second week he had 20, and the fourth week he had 80. How many did he have on week 3?
If the positive integer x is a multiple of 5 and the positive integer y is a multiple of 6, then xy must be a multiple of which of the following? I. 8 II. 12 III 18
Two trains start from P and Q respectively and travel towards each other at a speed of 50 km/hr and 40 km/hr respectively. By the time they meet, the first train has traveled 100 km more than the second. The distance between P and Q is?
All of the students of the Music High School are in the band, the orchestra, or both. 90 percent of the students are in only one group. There are 84 students in the band. If 60 percent of the students are in the band only, how many students are in the orchestra only?
Danny bought 2Q steaks for W dollars. Jerome buys R steaks for a 50% discount, how much will the steaks cost him in cents?
The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 12000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is?
When a certain perfect square is increased by 148, the result is another perfect square. What is the value of the original perfect square?
If population of certain city increases at the rate of 5%. If population in 1981 was 138915, then population in 1978 was?
If G = 775 × 778 × 781, what is the remainder when G is divided by 14?
How many bricks, each measuring 25 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?
ABCDEFGHI is a regular polygon with nine sides. What is the measure in degrees of angle ACB?
An uneducated retailer marks all his goods at 40% above the cost price and thinking that he will still make 25% profit, offers a discount of 25% on the marked price. What is his actual profit on the sales?
21 ball numbered 1 to 21. A ballis drawn and then another ball is drawn without replacement.
The maximum numbers of students among them 451 pens and 410 toys can be distributed in such a way that each student gets the same number of pens and same number of toys is
If you cut a 18ft piece of wood into two pieces making one piece 4ft longer than the other. What size is the smaller piece?
When is |x-14| = 14-x?
The average age of a husband, wife and their child 5 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is?
What least no. must be subtracted from 427398 so that remaining no.is divisible by 10?
If the selling price of 50 articles is equal to the cost price of 30 articles, then the loss or gain percent is:
If 4 spiders make 3 webs in 9 days, then how many days are needed for 1 spider to make 1 web?
A man on tour travels first 160 km at 72 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is:
Find out the C.I on Rs.9000 at 4% p.a. compound half-yearly for 1 1/2 years
A customer bought a product at the shop. However, the shopkeeper increased the price of the product by 10% so that the customer could not buy the required amount of the product. The customer managed to buy only 80% of the required amount. What is the difference in the amount of money that the customer paid for the second purchase compared to the first purchase?
The population of a town increased from 75,000 to 2,25,000 in a decade. The average percent increase of population per year is :
In how many ways can 4 men & 3 women can be made from a gang of 6 men & 7 women ?
The side of a square is increased by 10% then how much % does its area increases?
What is the sum of the different positive prime factors of 550?
Two dice are tossed. The probability that the total score is a prime number is:
The average (arithmetic mean) of y numbers is x. If 10 is added to the set of numbers, then the average will be x - 5. What is the value of y in terms of x ?
The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 3025 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
The mean of 50 observations was 36. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean is?
A division of a company consists of six men and five women. If two of these employees are randomly selected as representatives of the division, what is the probability that both representatives will be female?
HOW MANY KGS OF TEA WORTH RS.20/KG MUST BE BLENDED WITH 30 KGS OF TEA WORTH RS.30/KG SO THAT BY SELLING THE BLENDED VARIETY AT RS.30/KG THERE SHOULD BE A GAIN OF 10%
If the reciprocals of two consecutive positive integers are added together, what is the sum in terms of the greater integer d?
Find the natural number nearest to 9217 which completely divides 88 without giving any remainder.
If 15 students in a class average 70% on an exam and 10 students average 90% on the same exam, what is the average in percent for all 25 students?
If X,Y is 24%,30% smaller than Z then how much percentage is Y greater than X?
The difference between a number and its two-fifth is 510. What is 40% of that number?
If a boat goes 7 km upstream in 42 minutes and the speed of the stream is 4 kmph, then the speed of the boat in still water is
If A:B = 1/3: 1/2 B:C = 1/3:1/2 then A:B:C?
There 3 kinds of books in the library physics, chemistry and biology. Ratio of physics to chemistry is 3 to 2; ratio of chemistry to biology is 4 to 3, and the total of the books is more than 3000. Which one of following can be the total R of the book?
If x, y, and z are consecutive odd integers, with x < y < z, then which of the following must be true? I. x + y is odd II. (x+z)/y is an integer III. xz is even
If A = c% of y and B = y% of c, then which of the following is true?
A table is bought for Rs.1020/- and sold at Rs.750/- find the loss percentage
Riya and Priya set on a journey. Riya moves eastward at a speed of 25kmph and Priya moves westward at a speed of 40 kmph.How far will be priya from Riya after 15 minutes
An unbiased die is tossed. Find the probability of getting a multiple of 4
A number of 53 marbles is to be divided and contain with boxes. If each box is to contain 3, 4, or 5 marbles, what is the largest possible number of boxes?
The hen lays 3 eggs then she lays 6 eggs more. Totally how many eggs she lays?
The operation T is defined by x T y=1/x+1/y for all nonzero numbers x and y. If z is a number greater than 1, which of the following must be true. I. x T (-z)=0 II. 2/z T 2/z=z III. z T z/z-1=1
N is an even 3-digit number such that the last 3 digits of N^2 are N itself. What is the value of N?
A 12% stock yielding 10% is quoted at :
Sheik Abdullah decides to buy 2 new cars for his collection. If he has to choose between nine different cars, what is the number of purchasing possibilities he has?
At a certain school, the ratio of the number of English majors to the number of Sociology majors is 5 to 2, and the ratio of the number of Psychology majors to the number of Sociology majors is 3 to 4. If the ratio of the number of History majors to the number of English majors is 5 to 3, what is the ratio of the number of Psychology majors to the number of History majors
If p = ||q – 3| – 2|, for how many values of q is m = 6?
x% of y is y% of ?
How many odd three-digit integers greater than 400 are there such that all their digits are different?
In a can, there is a mixture of milk and water in the ratio 4 : 5. If it is filled with an additional 8 litres of milk the can would be full and ratio of milk and water would become 6 : 5. Find the capacity of the can? A. 40
If (n+2)!/n!=110, n=?
g is a negative number and h is a positive number, which of the following options must be positive?
In a right angled triangle, two sides are consecutive whole number in which one side is hypotenuse. what could be the possible length of third side?
In 1990 a total of p earthquakes occurred worldwide, some but not all of which occurred in Asia. If r of these earthquakes occurred in Asia, which of the following represents the ratio of the number of earthquakes that occurred in Asia to the number that did NOT occur in Asia?
The length of a rectangle is double its width. If the length is diminished by 5cm and the width is increased by 5cm then its area is increased by 75cm square. What is the length of the rectangle?
The two roots of the quadratic equation x2 - 85x + c = 0 are prime numbers. What is the value of c?
A person was asked to state his age in years. His reply was, "Take my age three years hence, multiply it by 3 and then subtract three times my age three years ago and you will know how old I am." What was the age of the person?
A credit union customer borrowed $15,000, but received y dollars less than this due to discounting. If there was a separate $20 service charge, then, in terms of y, the service charge was what fraction of the amount that the customer received?
If a cards are drawn from apack of 82 cards. The probability of getting a queen of club or a king of heart is
5 years ago Kate was 5 times as old as her Son. 5 years hence her age will be 8 less than three times the corresponding age of her Son. Find the age of son?
If the selling price of 50 articles is equal to the cost price of 30 articles, then the loss or gain percent is:
P alone can complete a job in 12 days. The work done by Q alone in one day is equal to one-half of the work done by P alone in one day. In how many days can the work be completed if P and Q work together?
Jane makes toy bears. When she works with an assistant, she makes 70 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?
Maya purchase 15 jars in a store then she returned 5 jars to store .Now how many jars she had?