1 
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

2 
In how many ways you can answer one or more questions out of 6 questions each having an alternative?...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Combination

3 
Three small cruise ships, each carrying 10 passengers, will dock tomorrow. One ship will dock at Por...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Combination

4 
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

5 
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

6 
Given that there are 5 basketball players per team, in how many ways can you select 2 basketball pla...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Combination

7 
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

8 
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

9 
Father John forms a choir from the church attendants. 30 people attend John's church, and the ch...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Combination

10 
Which of the following is equal to 1?
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation

11 
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

12 
At the end of the day, a bakery gives everything that is unsold to food banks for the needy. If it h...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Partitions and Distributions

13 
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

14 
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

15 
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

16 
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

17 
If a die is cast and then a coin is tossed, find the number of all possible outcomes. Type in your ...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles

18 
Given 4 flags of different colours, how many different signals can be generated, if a signal require...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles

19 
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

20 
The number of positive integral solutions of a.b.c = 42 is Type in your answer as an integer if y...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Partitions and Distributions

21 
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

22 
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

23 
There are 11 students in a section. In how many ways can we award a first rank in Economics and a se...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles

24 
In order to go from city A to City C, one must pass through City B. There are 7 roads that lead to B...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles

25 
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

26 
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

27 
How many 3digit numbers can be formed from the digits 1, 2, 3, 4 and 5 assuming that repetiti...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles

28 
Find the total number ways in which Sumit can make at most one selection out of 3 flavors of Ha...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles

29 
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

30 
Which of the following represent(s) 8!?
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation

31 
Praneet was given the task to make three people: P, Q, and R to sit on three chairs C1, C2, and C3. ...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles

32 
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

33 
The number of nonnegative integral solutions of x1+x2+x3+x4 <= n (where n is a positive int...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Partitions and Distributions

34 
There are 3 roads from A to B, from B to C there are 4 roads, 3 direct roads from A to D and from C ...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles

35 
How many 3digit numbers can be formed from the digits 1, 2, 3, 4 and 5 assuming that repetitio...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles

36 
In how many ways can you put 5 identical beads in 3 different boxes? Type in your answer as an inte...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Partitions and Distributions

37 
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

38 
In a hotel menu, there are 5 Starters, 4 Soups, 9 Indian Main Courses, 11 Chinese Main Courses, and ...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles

39 
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

40 
Harry wants to go to a party. He has 6 Shirts, 8 Trousers, 4 Polo TShirts, 3 pairs of jeans, 4 Ties...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles

41 
Suppose you can travel from a place A to a place B by 3 buses, from place B to place C by 4 buses, f...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles

42 
Find the number of integral solutions to the equation x + y + z = 15
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Partitions and Distributions

43 
How many solutions are there are there for p+q+r+s=22 such that all of p, q, r, s are the whole numb...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Combination

44 
There are 5 doors to a lecture room. In how many ways can a student enter the room through a door an...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles

45 
A restaurant offers 5 choices of appetizers, 10 choices of main meals and 4 choices of desserts. A c...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles

46 
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

47 
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

48 
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

49 
The number of nonzero integral solutions of the equation a + b + c = 18 is. Type in your answer as...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Partitions and Distributions

50 
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

51 
If nPr = nCr, then what will be the value of r, if n=20? ...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation

52 
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

53 
The number of ways in which 30 coins of Rupee one each can be given to six persons so that none of t...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Partitions and Distributions

54 
Nine points are marked on a straight line and 10 points on another line which is parallel to th...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Partitions and Distributions

55 
The number of divisors of the form 4n+2 (n>=0) of the integer 240 is. Type in your answer as an ...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Partitions and Distributions

56 
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

57 
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

58 
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

59 
In how many ways can Sujata divide 15 Banoffee Pies among 5 kids, such that each gets at least 2 and...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Partitions and Distributions

60 
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
