# Class 11 Mathematics Chapter 1 Sets MCQ Questions with Answer

Sets Class 11 MCQ is one of the best strategies to prepare for the CBSE Class 11 Board exam. If you want to complete a grasp concept or work on one’s score, there is no method except constant practice. Students can improve their speed and accuracy by doing more Sets class 11 MCQ which will help them all through their board test.

## Sets Class 11 MCQ Questions with Answer

Class 11 Math MCQ with answers are given here to Chapter 1 Sets. These MCQs are based on the latest CBSE board syllabus and relate to the latest Class 11 Mathematics syllabus. By Solving these Class 11 MCQs, you will be able to analyze all of the concepts quickly in the Chapter and get ready for the Class 11 Annual exam.

Learn Sets Class 11 MCQ with answers pdf free download according to the latest CBSE and NCERT syllabus. Students should prepare for the examination by solving CBSE Class 11 Sets MCQ with answers given below.

Question 1 : 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 2 : Which of the following is correct for A – B?
(a) A ∩ B
(b) A’ ∩ B
(c) A ∩ B’
(d) A’ ∩ B’

Question 3 : Which one is different from the others ?
(i) empty (ii) void (iii) zero (iv) null :
(a) (i)
(b) (ii)
(c) (iii)
(d) (iv)

Question 4 : 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 5: 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 6 : 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 7: 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 8: 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 9 : 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 10 : 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 11 : 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 12 : 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 13 : 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 14 : 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 15 : 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]

Whoever needs to take the CBSE Class 11 Board Exam should look at this MCQ. To the Students who will show up in CBSE Class 11 Mathematics Board Exams, It is suggested to practice more and more questions. Aside from the sample paper you more likely had solved. These Sets Class 11 MCQ are ready by the subject specialists themselves.

Question 16 : 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 17 : 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 18 : If A and B are two sets, then A ∩ (A ∪ B)’ equals :
(a) A
(b) B
(c) f
(d) None

Question 19 : How many elements has P(A), if A = f ?
(a) two
(b) one
(c) three
(d) zero

Question 20 : 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 21 : 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 22. 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 23 : 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 24 : 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 25 : 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 26: 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

Question 27 : 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 28 : 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 29 : 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)

You can easily get good marks If you study with the help of Class 11 Sets MCQ. We trust that information provided is useful for you. NCERT MCQ Questions for Class 11 Sets PDF Free Download would without a doubt create positive results.

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