1 
Set A = {2,3,4,5} Set B = {4,5,6,7,8} Two integers will be randomly selected from the sets above, ...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

2 
The probability that event M will not occur is 0.8 and the probability that event R will not occur i...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

3 
A 20 sided fair die, with sides numbered 120, is rolled. The probability that 1 turns up is . T...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

4 
The probability that a number selected from numbers 1,2,3,...,30 is a prime number is (Given that...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

5 
Out of 17 applicants  8 guys and 9 girls, two persons are to be selected for a task. What is the pr...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

6 
Gregory has an MP3 player called the Jumble. The Jumble randomly selects a song for the user to list...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

7 
A fivedigit number is formed by using digits 1, 2, 3, 4 and 5 without repetition. What is the proba...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

8 
In a race, the odds in favor of cars P, Q, R, S are 1:3, 1:4, 1:5 and 1:6 respectively. Find th...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

9 
The sum of probabilities of all the elementary events of an experiment is _______. (An elemen...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

10 
If we know that the following is true P(A or B) = P(A) + P(B) then what is the underlying as...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

11 
A bag contains 8 red balls and x blue balls, the odd against drawing a blue ball are 2: 5. What is t...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

12 
A bag contains 40 balls out of which some are red, some are blue and remaining are black. If the pro...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

13 
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

14 
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

15 
Identify statements which define Independent Events:
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Advanced Probability
Conditional Probability

16 
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

17 
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

18 
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

19 
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

20 
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

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 
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

23 
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

24 
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

25 
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

26 
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

27 
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

28 
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

29 
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

30 
A man bets on number 16 on a roulette wheel 14 times and losses each time. On the 15th spa...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Advanced Probability
Independent Events

31 
Two dice are tossed. The probability that the total score is a prime number is: Type in your answer...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

32 
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

33 
For which of the following experiments, the number of outcomes exceed 50?
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

34 
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

35 
If the occurrence of one event means that another cannot happen, then the events are:
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

36 
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

37 
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

38 
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

39 
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

40 
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

41 
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

42 
Which of the following represent(s) 8!?
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation

43 
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

44 
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

45 
A pair of dice are thrown simultaneously. Find the probability that the sum obtained is 9 when one d...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Advanced Probability
Conditional Probability

46 
If two events (both with probability greater than 0) are mutually exclusive, then:
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Advanced Probability
Independent Events

47 
Find the number of integral solutions to the equation x + y + z = 15
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Partitions and Distributions

48 
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

49 
A letter is chosen at random from the word 'SURREPTITIOUS'. Find the probability that it'...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

50 
A bag contains 21 toys numbered 1 to 21. Sia draws a toy and then another toy, without replacement. ...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

51 
James is going to call one person from his contacts at random. He has 30 total contacts. 15 of those...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

52 
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

53 
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

54 
Which of the following is incorrect?
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

55 
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

56 
Three boxes contain 6 red, 4 black; 5 red, 5 black and 4 red, 6 black balls respectively. One of the...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Advanced Probability

57 
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

58 
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

59 
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

60 
Two brothers X and Y appeared for an exam. Let A be the event that X is sel...
CAT
Quantitative Ability
Combinatorics and Probability
Probability

61 
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

62 
A bag contains 6 red jelly beans, 4 green jelly beans, and 4 blue jell...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Advanced Probability
Independent Events

63 
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

64 
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

65 
Giovanna owns a farm. She is going to randomly select one animal to present at the state fair. She h...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

66 
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

67 
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

68 
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

69 
A card is drawn at random from a pack of 52 cards. What is the probability that it is neither a spad...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

70 
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

71 
A husband and wife appeared in an interview for two vacancies in the same organization. The probabil...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

72 
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

73 
Each of the letters of the word MISSISSIPPI are written on separate pieces of paper that are then fo...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

74 
Which of the following is equal to 1?
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation

75 
Isiah has a corporate proposal. The probability that vicepresident Alan will approve the...
CAT
Quantitative Ability
Combinatorics and Probability
Probability

76 
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

77 
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

78 
For two events A and B let P(A)=P and P(B)=0.3 and P(AUB)=0.6, then find P so that A and B are indep...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Advanced Probability
Independent Events

79 
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

80 
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

81 
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

82 
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

83 
A bag contains 10 balls numbered from 0 to 9. the balls are such that the person picking a ball out ...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Advanced Probability
Independent Events

84 
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

85 
A medical treatment has a success rate of .6. Two patients will be treated with this treatment. Assu...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Advanced Probability
Independent Events

86 
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

87 
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

88 
The probability of drawing a blue and an orange ball in succession in that order from a bag containi...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Advanced Probability
Conditional Probability

89 
Let A and B be the two events such that P(A) = 1/2, P(B)= 1/3 and P(A ∩ B)=1/4. Find P(A'B&...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Advanced Probability
Conditional Probability

90 
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

91 
For an event E, which of the following is true:
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

92 
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

93 
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

94 
An urn contains 4 white, 6 black and 8 red balls. If 3 balls are drawn one by one without replacemen...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Advanced Probability
Conditional Probability

95 
In a class, 45% of the students read English, 30% read French and 20% read both English and French. ...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Advanced Probability
Conditional Probability

96 
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

97 
The figure shown represents a board with 4 rows of pegs, and at the bottom of the board are 4 cell...
CAT
Quantitative Ability
Combinatorics and Probability
Probability

98 
In a boltmaking factory, machines A, B and C manufacture 25%, 35% and 40% respectively, of the tota...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Advanced Probability

99 
If A and B are events such that P(AB) = P(BA), then
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Advanced Probability
Conditional Probability

100 
A bag contains 9 white and 5 yellow balls, and another bag contains 6 white and 8 yellow balls. If o...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Advanced Probability
Conditional Probability

101 
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

102 
Anil throws a biased coin on which heads appears in 70% of the trials. In a game involving this coin...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Advanced Probability

103 
A box contains 4 chocobars and 4 ice creams. Tom eats 3 of them, by randomly choosing. What is the p...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Advanced Probability
Independent Events

104 
Two dice are thrown simultaneously. Find the probability of getting a multiple of 2 on one dice and ...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

105 
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

106 
Isiah has a corporate proposal. The probability that vicepresident Alan will approve the propo...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Advanced Probability
Independent Events

107 
A pack contains 4 blue, 2 red and 3 black pens. If a pen is drawn at random from the pack, replaced ...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Advanced Probability
Independent Events

108 
There are two bags. The first bag contains 4 white and 5 black balls and the second bag contains 5 w...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Advanced Probability

109 
What is the probability of drawing a king and a queen consecutively from a deck of 52 cards, wi...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Advanced Probability
Independent Events

110 
Match the following (Considering all experiments are conducted in an unbiased fashion) ...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Advanced Probability
Independent Events

111 
If p is chosen at random from the set {1,2,3,4} and q is to be chosen at random from the set {5,6,7}...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

112 
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

113 
For the following rule to be true P(A and B) = P(A) P(B) the events need to be: ...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

114 
Probability of an Event E + Probability of an Event 'not E' = Type in your answer as a...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

115 
A card is drawn from a wellshuffled pack of 52 cards. The following two events E and F take place i...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Advanced Probability
Conditional Probability

116 
A dice is thrown then what will be the number of sample space? Type in your answer as an integer if...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics
