# Class 11 Mathematics Set Theory MCQs

## Set Theory Class 11 MCQ

Class 11 Set Theory students should refer to the following multiple-choice questions with answers for Set Theory in standard 11. These MCQ questions with answers for Grade 11 Set Theory will come in exams and help you to score good marks

### Class 11 Set Theory MCQ Questions with Answers

Question : Given the sets

A = {1, 3, 5}, B = {2, 4, 6} and C = {0, 2, 4, 6, 8}.
Which of the following may be considered as
universal set for all the three sets A, B and C?
(a) {0, 1, 2, 3, 4, 5, 6}
(b) f
(c) {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
(d) {1, 2, 3, 4, 5, 6, 7, 8}

Question : The set {x : x is an even prime number} can be written as
(a) {2}
(b) {2, 4}
(c) {2,14}
(d) {2, 4, 14}

Question : Let A and B be two non-empty subsets of a set
X such that A is not a subset of B, then :
(a) A is a subset of complement of B
(b) B is a subset of A
(c) A and B are disjoint
(d) A and the complement of B are nondisjoint.

Question : The set (A∪B∪C)∩(A∩B¢∩C¢)'∩C¢ is equal to
(a) B∩C¢
(b) A∩C
(c) B∩ C
(d) A∩C¢

Question : The set of intelligent students in a class is :
(a) A null set
(b) a singleton set
(c) a finite set
(d) Not a well defined collection

Question : Which of the following is correct for A – B?
(a) A ∩ B
(b) A' ∩ B
(c) A ∩ B'
(d) A' ∩ B'

Question : Which one is different from the others ?
(i) empty (ii) void (iii) zero (iv) null :
(a) (i)
(b) (ii)
(c) (iii)
(d) (iv)

Question : If A and B are two non-empty sets, then B ∩ (A ∪ B)c, where Xc denotes the complement of X, is equal to :
(a) Ac
(b) B
(c) Ac ∩ B
(d) f

Question : Which of the following collections are sets ?
(a) The collection of all the days of a week
(b) A collection of 11 best hockey player of India.
(c) The collection of all rich person of Delhi
(d) A collection of most dangerous animals of India.

Question : Which of the following properties are associative law ?
(a) A∪B = B∪ A
(b) A∪C = C ∪ A
(c) A∪D = D∪ A
(d) (A∪B)∪C = A∪(B∪C)

Question : If the sets A and B are as follows :
A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, then
(a) A – B = {1, 2}
(b) B – A = {5}
(c) [(A – B) – (B – A)] ∩ A = {1, 2}
(d) [(A – B) – (B – A)] ∪ A = {3, 4}

Question : If A = {1, 2, 3, 4, 5}, then the number of proper subsets of A is :
(a) 31
(b) 38
(c) 48
(d) 54

Question : The cardinality of the set P(P(P(f))) is
(a) 0
(b) 1
(c) 2
(d) 4
[P(A) represents power set of the set A]

Question : Let P be a set of squares, Q be set of parallelograms, R be a set of quadrilaterals and S be a set of rectangles. Consider the following :
1. P Ì Q
2. R Ì P
3. P Ì S
4. SÌ R
Which of the above are correct?
(a) 1, 2 and 3
(b) 1, 3 and 4
(c) 1, 2 and 4
(d) 3 and 4

Question : If A and B are finite sets, then which one of the following is the correct equation?
(a) n (A – B) = n (A) – n (B)
(b) n (A – B) = n (B – A)
(c) n (A – B) = n (A) – n (A ∩ B)
(d) n (A – B) = n (B) – n (A ∩ B)
[n (A) denotes the number of elements in A]

Question : If A = {x, y} then the power set of A is :
(a) {xx, yy}
(b) {f, x, y}
(c) {f,{x},{2y}}
(d) {f,{x},{y},{x,y}}

Question : Consider the following equations :
1. A – B = A – (A ∩ B)
2. A = (A ∩ B) ∪ (A – B)
3. A – (B ∪ C) = (A – B) ∪ (A – C)
Which of these is/are correct ?
(a) 1 and 3
(b) 2 only
(c) 2 and 3
(d) 1 and 2

Question : If A∪B ¹ f, then n(A∪B) = ?
(a) n(A) + n(B) - n(A∩B)
(b) n(A) - n(B) + n(A∩B)
(c) n(A) - n(B) - n(A∩ B)
(d) n(A) + n(B) + n(A∩ B)

Question : Let V = {a, e, i, o, u} and B = {a, i, k, u}. Value of V – B and B – V are respectively
(a) {e, 0} and {k}
(b) {e} and {k}
(c) {0} and {k}
(d) {e, 0} and {k, i}

Question : If A = {1, 2, 3, 4}, B = {2, 3, 5, 6} and C = {3, 4, 6,7}, then
(a) A – (B ∩ C) = {1, 3, 4}
(b) A – (B ∩ C) = {1, 2, 4}
(c) A – (B ∪ C) = {2, 3}
(d) A – (B ∪ C) = {f}

Question : If A and B are two sets, then A ∩ (A ∪ B)' equals :
(a) A
(b) B
(c) f
(d) None

Question : How many elements has P(A), if A = f ?
(a) two
(b) one
(c) three
(d) zero

Question : Let A = {a, b}, B = {a, b, c}. What is A∪B ?
(a) {a, b}
(b) {a, c}
(c) {a, b, c}
(d) {b, c}

Question : Which of the following is correct?
(a) A∪B¹A∪A'
(b) (A∩B)' = A'∪B'
(c) (A' ∪B') ¹A'∪A
(d) (A∩B)' = A'∩B'

Question : What is the simplified representation of
(A´ ∩ B´∩C) ∪ (B∩C) ∪ (A ∩ C), where A,B, C are subsets of a set X?
(a) A
(b) B
(c) C
(d) X∩ ( A∪ B∪ C)

Question : What does the shaded portion of the Venn diagram given above represent?

(a) (P∩Q)∩(P∩R)
(b) ((P∩Q) - R)∪((P∩R) -Q)
(c) ((P∪Q) -R)∩((P∩R) -Q)
(d) ((P∩Q)∪R)∩((P∪Q) -R)

Question : If the sets A and B are given by A = {1, 2, 3, 4},
B = {2, 4, 6, 8, 10} and the universal set
U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, then
(a) (A∪B)'= {5, 7, 9}
(b) (A∩B)'= {1, 3, 5, 6, 7}
(c) (A∩B)' = {1, 3, 5, 6, 7, 8}
(d) None of these

Question : If A and B are finite sets then (A – B) ∪ (B – A) equals:
(a) (A ∪ B) – A
(b) (A – B) ∪ B
(c) (A ∪ B) – (A ∩ B)
(d) (A – B) ∪ A

Question : Let A, B, C be any three non-empty sets. If A∪B = A ∪C, then which one of the following is definitely true?
(a) B = C
(b) B⊆C
(c) C⊆B
(d) none of these

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 Class 11 Mathematics Set Theory MCQs

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