1 
Find the number of permutations of the letters of the word ‘REMAINS’ such that the vowel...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation

2 
The employees at a hotel reservation center assign an eightdigit confirmation number (CN) to each c...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation

3 
The lock on a safe consists of three wheels, each of which may be set in eight different positions. ...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation
Combination

4 
How many different words can be formed with the letters of the word NAINITAL such that each of ...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation

5 
From a standard 52card deck, how many 5card hands will have 3 hearts and 2 spades?
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation
Combination

6 
How many five digit positive integers that are divisible by 3 can be formed using the digits 0, 1, 2...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation

7 
How many different words can be formed with the letters of the word RAINBOW so that the vowels occup...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation

8 
In how many ways can a cricketeleven be chosen out of 15 players if one a particular player is alwa...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation
Combination

9 
A group of 11 friends reserved 2 circular tables in a restaurant for dinner. One table has 5 chairs ...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation
Circular Permutation

10 
How many integers, greater than 999 but not greater than 4000, can be formed with the digits 0,1, 2,...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation

11 
In how many different ways can three persons A, B, C having 6, 7 and 8 one rupee coins respectively ...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation

12 
Which of the following is equal to 1?
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation

13 
In how many ways can we roll an unbiased die twice such that the sum of the numbers on the two throw...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation
Combination

14 
There are 5 black pens, 3 white pens, and 4 red pens in a box. In how many ways can 2 black pen...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation
Combination

15 
The number of ways in which a committee of 5 men and 6 women can be formed from 8 men and ...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation
Combination

16 
Which of the following represent(s) 8!?
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation

17 
Boxes numbered 1, 2, 3, 4 and 5 are kept in a row, each of which are to be filled with one ball, eit...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation
Combination

18 
How many three letter words with or without meaning can be formed from the letters of the word JINX?...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation
Combination

19 
A committee of three people is to be chosen from six people. Number of unique committees that can be...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation
Combination

20 
Find the number of different signals that can be generated by arranging at least 2 flags in ord...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation
Combination

21 
If nPr = nCr, then what will be the value of r, if n=20? ...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation

22 
Payal has to arrange five fruits, 3 identical Oranges, and 2 identical Pears, in a round plate,...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation
Circular Permutation

23 
In how many ways can 16 books on different subjects be divided equally into 4 groups?
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation
Combination

24 
If nC8 = nC15, find the value of n. Type in your answer as an integer if your answer is 1...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation

25 
How many numbers between 100 and 1000 can be formed from the digits 1,2,3,4,5 such that no digit is ...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation
Combination

26 
If nC9=nC11, find nC19 Type in your answer as an integer. For example, if your answer is 2, type in...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation

27 
In an Introductory Literature class, the professor may choose one of three specified novels, and cho...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation
Combination

28 
There are 10 seats around a circular table. If 8 men and 2 women have to seated around a circular ta...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation
Circular Permutation

29 
Out of 5 people, 3 are to be seated around a circular table. In how many ways can they sit? Type in...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation
Circular Permutation

30 
A computer system allows a user to set a three character long password, where each character is eith...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation
Combination

31 
Jignesh invited two of his colleagues Priyanka and Shipra over for dinner. In how many different way...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation
Circular Permutation
