Objective Questions

Questions (112)

#	Question	Topic	Actions
1	How many ways are there to arrange the letters of the word “GARDEN” with the vo…	PERMUTATIONS AND COMBINATIONS	View
2	In how many ways can 7 pictures be hanged on 9 pegs?	PERMUTATIONS AND COMBINATIONS	View
3	Ten buses are plying between two places A and B. In how many ways can a person …	PERMUTATIONS AND COMBINATIONS	View
4	There are 10 points on a circle. By joining them, how many chords can be drawn?	PERMUTATIONS AND COMBINATIONS	View
5	There are 10 non-collinear points in a plane. By joining them, how many triangl…	PERMUTATIONS AND COMBINATIONS	View
6	If ⁿP₄ : ⁿP₂ = 12, find the value o…	PERMUTATIONS AND COMBINATIONS	View
7	How many different words (with or without meaning) can be made using all the vo…	PERMUTATIONS AND COMBINATIONS	View
8	In how many ways can 4 boys be chosen from 7 boys to make a committee?	PERMUTATIONS AND COMBINATIONS	View
9	How many different words can be formed by using all the letters of the word “SC…	PERMUTATIONS AND COMBINATIONS	View
10	In an examination, there are three multiple choice questions and each question …	PERMUTATIONS AND COMBINATIONS	View
11	A gentleman has 6 friends to invite. In how many ways can he send invitation ca…	PERMUTATIONS AND COMBINATIONS	View
12	If there are 12 persons in a party, and if each two of them shake hands with ea…	PERMUTATIONS AND COMBINATIONS	View
13	If ¹²C₅ = ¹²C_r, then what is the va…	PERMUTATIONS AND COMBINATIONS	View
14	If ¹²C₅ + ¹²C₆ = ^XC_…	PERMUTATIONS AND COMBINATIONS	View
15	If ^n-1P₃ : ⁿP₄ = 1 : 9, then what i…	PERMUTATIONS AND COMBINATIONS	View
16	What is the number of ways to arrange the letters of the word 'BANANA' so that …	PERMUTATIONS AND COMBINATIONS	View
17	What is the value of n, if P(15, n − 1) : P(16, n − 2) = 3 : 4?	PERMUTATIONS AND COMBINATIONS	View
18	The number of words which can be formed from the letters of the word MAXIMUM, i…	PERMUTATIONS AND COMBINATIONS	View
19	If 7 points out of 12 are in the same straight line, then what is the number of…	PERMUTATIONS AND COMBINATIONS	View
20	In how many ways can a bowler take four wickets in a single 6-ball over?	PERMUTATIONS AND COMBINATIONS	View
21	What is the number of signals that can be sent by 6 flags of different colours …	PERMUTATIONS AND COMBINATIONS	View
22	There are 6 letters and 3 post boxes. The number of ways in which these letters…	PERMUTATIONS AND COMBINATIONS	View
23	If ⁿC₁ = ⁿC₂, then which of the fol…	PERMUTATIONS AND COMBINATIONS	View
24	If ⁿC_r + ⁿC_r+1 = ⁿ⁺¹C	PERMUTATIONS AND COMBINATIONS	View
25	If ⁴³C_r-6 = ⁴³C_3r+1, then the value…	PERMUTATIONS AND COMBINATIONS	View
26	How many ways are there to arrange the letters of the word 'GARDEN' with the vo…	PERMUTATIONS AND COMBINATIONS	View
27	In how many ways 7 pictures can be hanged on 9 pegs?	PERMUTATIONS AND COMBINATIONS	View
28	Ten buses are plying between two places A and B. In how many ways a person can …	PERMUTATIONS AND COMBINATIONS	View
29	There are 10 points on a circle. By joining them how many chords can be drawn?	PERMUTATIONS AND COMBINATIONS	View
30	There are 10 non-collinear points in a plane. By joining them how many triangle…	PERMUTATIONS AND COMBINATIONS	View
31	What is the number of ways to arrange the letters of the word 'BANANA' such tha…	PERMUTATIONS AND COMBINATIONS	View
32	The number of words which can be formed from the letters of the word 'MAXIMUM',…	PERMUTATIONS AND COMBINATIONS	View
33	What is the number of signals that can be sent by 6 flags of different colours,…	PERMUTATIONS AND COMBINATIONS	View
34	If mC₁ = nC2, then which of the following relations is true?	PERMUTATIONS AND COMBINATIONS	View
35	If nCr + nCr+1 = n+1Cx, then the value of x is:	PERMUTATIONS AND COMBINATIONS	View
36	If 43Cr-6 = 43C3r+1, then what is the value of r?	PERMUTATIONS AND COMBINATIONS	View
37	Which of the following formulas represents the number of diagonals of an n-side…	PERMUTATIONS AND COMBINATIONS	View
38	What is the number of ways of arrangement of letters of the word 'BANANA' so th…	PERMUTATIONS AND COMBINATIONS	View
39	The number of words which can be formed from the letters of the word MAXIMUM, i…	PERMUTATIONS AND COMBINATIONS	View
40	There are 6 letters and 3 post boxes. The number of ways in which these letters…	PERMUTATIONS AND COMBINATIONS	View
41	If mC1 = nC2, then which of the following relations holds true?	PERMUTATIONS AND COMBINATIONS	View
42	If nCr + nCr+1 = n+1Cx, then x = ?	PERMUTATIONS AND COMBINATIONS	View
43	If 43Cr-6 = 43C3r+1, then value of r is -	PERMUTATIONS AND COMBINATIONS	View
44	What is the value of r, if 12C5 = 12Cr?	PERMUTATIONS AND COMBINATIONS	View
45	What is the value of x, if 12C5 + 12C6 = XC6?	PERMUTATIONS AND COMBINATIONS	View
46	If n-1P3 : nP4 = 1 : 9, then what is the value of n?	PERMUTATIONS AND COMBINATIONS	View
47	The number of diagonals in an n-sided polygon is:	PERMUTATIONS AND COMBINATIONS	View
48	Which of the following statements is TRUE?	PERMUTATIONS AND COMBINATIONS	View
49	What is the value of n, if P(15, n - 1) : P(16, n - 2) = 3 : 4?	PERMUTATIONS AND COMBINATIONS	View
50	Given that 12C5 = 12Cr, and r ≠ 5, what is the value of r?	PERMUTATIONS AND COMBINATIONS	View
51	What is the value of 6! / 3!?	PERMUTATIONS AND COMBINATIONS	View
52	If 12C5 + 12C6 = XC6, then what is the value of X?	PERMUTATIONS AND COMBINATIONS	View
53	In how many ways can a bowler take four wickets in a single 6 balls over?	PERMUTATIONS AND COMBINATIONS	View
54	According to the document, what is the definition of an Experiment in pr…	Quantifying Uncertainty	View
55	Which of the following best defines a Sample Space S according to the pr…	Quantifying Uncertainty	View
56	In probability, an Event E is defined as:	Quantifying Uncertainty	View
57	When are two events, E and F, considered Mutually Exclusive (D…	Quantifying Uncertainty	View
58	The first axiom of probability, Non-negativity, states that for any even…	Quantifying Uncertainty	View
59	According to the axioms of probability, what is the probability of the entire <…	Quantifying Uncertainty	View
60	The Additivity for Disjoint Events axiom states that if events E₁	Quantifying Uncertainty	View
61	Which of the following is the correct formula for the Complement Rule, a…	Quantifying Uncertainty	View
62	In the General Addition Rule, P(E ∪ F) = P(E) + P(F) – P(EF), …	Quantifying Uncertainty	View
63	The probability of an event E given that event F has occurred, de…	Quantifying Uncertainty	View
64	Rearranging the definition of conditional probability leads to the Multiplic…	Quantifying Uncertainty	View
65	Events E and F are considered statistically independent if:	Quantifying Uncertainty	View
66	According to the 'Critical Warning' on Slide 18, what is the relationship betwe…	Quantifying Uncertainty	View
67	The Law of Total Probability (Slide 22) states that the total probabilit…	Quantifying Uncertainty	View
68	In Bayes' Theorem, P(F_j\|E) is referred to as the:	Quantifying Uncertainty	View
69	According to the document, which set operation represents the event that both E…	Quantifying Uncertainty	View
70	What is the definition of a 'Sample Space S' according to the provided material?	Quantifying Uncertainty	View
71	Which of the following statements correctly represents the first Axiom of Proba…	Quantifying Uncertainty	View
72	If events E₁, E₂, ... are mutually exclusive, what does t…	Quantifying Uncertainty	View
73	The Complement Rule states that for any event E, P(E^c) = 1 - P(E). W…	Quantifying Uncertainty	View
74	In the solved example of drawing a card from a 52-card deck, what is the probab…	Quantifying Uncertainty	View
75	Which of the following is the correct definition of Conditional Probability, P(…	Quantifying Uncertainty	View
76	When rolling two dice, if the first die is a 6, what is the probability that th…	Quantifying Uncertainty	View
77	Given an urn with 3 red (R) and 2 blue (B) balls, if we draw 2 balls without re…	Quantifying Uncertainty	View
78	Which statement correctly describes statistically independent events E and F?	Quantifying Uncertainty	View
79	What is the key difference between 'Disjoint' events and 'Independent' events?	Quantifying Uncertainty	View
80	In the context of Bayes' Theorem, what does P(F_j\|E) represent?	Quantifying Uncertainty	View
81	In the 'Disease Testing Problem' (Slides 24-26), after a person tests positive …	Quantifying Uncertainty	View
82	The document states that probability is a mathematical system built on three ax…	Quantifying Uncertainty	View
83	According to the summary, what is the role of Conditional Probability?	Quantifying Uncertainty	View
84	What are the key characteristics of a Sample Space S, as defined in the …	Quantifying Uncertainty	View
85	Which of the following best describes an Event E in probability theory?	Quantifying Uncertainty	View
86	Based on the definitions provided, when are two events E and F co…	Quantifying Uncertainty	View
87	Which of the following statements represents the Non-negativity axiom of…	Quantifying Uncertainty	View
88	What does the Probability of the Sample Space axiom state?	Quantifying Uncertainty	View
89	The Complement Rule states that for any event E, the probability …	Quantifying Uncertainty	View
90	Which formula represents the General Addition Rule for any two events	Quantifying Uncertainty	View
91	What is the definition of Conditional Probability P(E\|F)?	Quantifying Uncertainty	View
92	How does the Multiplication Rule relate to conditional probability for f…	Quantifying Uncertainty	View
93	When are two events E and F considered Statistically Independe…	Quantifying Uncertainty	View
94	What is the critical distinction between Disjoint events and Independ…	Quantifying Uncertainty	View
95	The Law of Total Probability is used to calculate P(E) when the sample s…	Quantifying Uncertainty	View
96	In the context of Bayes' Theorem, what does P(F_j) represent?	Quantifying Uncertainty	View
97	In the context of Bayes' Theorem, what does P(F_j\|E) represent?	Quantifying Uncertainty	View
98	According to the document's 'Critical Warning' on Slide 18, what is the key dif…	Quantifying Uncertainty	View
99	In Bayes' Theorem, as described on Slide 23, what does P(E\|F_j) repre…	Quantifying Uncertainty	View
100	After applying Bayes' Theorem in the 'Disease Testing Problem' (Slides 24-26), …	Quantifying Uncertainty	View

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Questions (112)