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 1-20, 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 five-digit 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 non-zero 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 3-digit 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 T-Shirts, 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 non-negative 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&#39... 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 3-digit 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 vice-president 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 cricket-eleven 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 52-card deck, how many 5-card 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 eight-digit 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 bolt-making 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(A|B) = P(B|A), 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 vice-president 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 well-shuffled 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