List of top Questions asked in GRE

Ten different letters of an alphabet are given. 2 of these letters followed by 2 digits are used to number the products of a company. In how many ways can the products be numbered?

If \(P(2n+1,n-1):P(2n-1,n) = 3:5\), find \(n\).

A polygon has 20 diagonals. How many sides does it have?

A box contains 5 red and 4 blue balls. In how many ways can 4 balls be chosen such that there are at most 3 balls of each colour?

Four students have to be chosen: 2 girls as the captain and vice-captain and 2 boys as the captain and vice-captain of the school. There are 15 eligible girls and 12 eligible boys. In how many ways can they be chosen if Sunita is sure to be the captain?

A teacher prepares a test with 5 objective questions, of which 4 have to be answered. The first 2 questions each have 3 choices and the last 3 each have 4 choices. Find the total number of ways to answer the paper.

How many 5-digit numbers are there with distinct digits?

In how many ways can 15 students be seated in a row such that the 2 most talkative children never sit together?

In a school, 5 colours are allotted to each house. If the flag of Tagore House has to be a sequence of three blocks of different colours, how many flags can they choose from?

Find the number of words which can be formed by using the letters of the word EQUATION if each word has to start with a vowel.

How many five-digit numbers can be formed using the digits 0, 2, 3, 4 and 5, when repetition is allowed, such that the number formed is divisible by 2 or 5 or both?

A group of five students averaged 85 points on an exam taken out of 100 total points. If the addition of two additional students raises the group average to 88 points, what is the minimum score that one of those two students can receive? Assume that 100 is the highest score for the exam.

In a bag, there are 10 red, 15 green, and 12 blue marbles. If you draw two marbles (without replacing), what is the approximate probability of drawing two different colors?

How many different license passwords can one make if said password must contain exactly 6 characters, two of which are distinct numbers, another of which must be an uppercase letter, and the remaining 3 can be any digit or letter (upper- or lower-case) such that there are no repetitions of any characters in the password?

Sample Set A has 25 data points with an arithmetic mean of 50. Sample Set B has 75 data points with an arithmetic mean of 100. Quantity A: The arithmetic mean of the 100 data points encompassing A and B. Quantity B: 80

Which statement is correct assuming that \(a\) represents the range, \(b\) represents the mean, \(c\) represents the median, and \(d\) represents the mode for the number set: 8, 3, 11, 12, 3, 4, 6, 15, 1 ?

If you join all the vertices of a heptagon, how many quadrilaterals will you get?

Let \( p = 4 \times 6 \times 11 \times n \), where \( n \) is a positive integer. Compare the following:
Quantity A: Remainder when \( p \) is divided by 5
Quantity B: Remainder when \( p \) is divided by 33

Which of the following is a graph for the values of \( x \) defined by the inequality \( 26 \leq 2x<64 \)?

Sam is a caterer who needs to bake 300 pies. Each pie requires 4 apples. Apples are sold in bushels, with 126 apples in each bushel. How many bushels must Sam order to ensure he has enough apples?

What is the sum of all of the four-digit integers that can be created with the digits 1, 2, 3, and 4?

Which of the following defines any term in a linear sequence having 30 for its first term and 126 for its ninth term?

Robert has 22.8% of his cereal left. Choose the decimal that best represents how much of his cereal he has eaten.

The greatest prime factor of 144 is \( x \)
The greatest prime factor of 96 is \( y \)

The price of a pair of sneakers was $ 80 for the last six months of last year. On January first, the price increased by 20%. After the price increase, an employee bought these sneakers with a 10% employee discount. What price did the employee pay?