MCQs For NCERT Class 11 Maths Sets With Answers

Please refer to the MCQ Questions for Class 11 Sets Maths Chapter 1 with Answers. The following Sets Class 11 Mathematics MCQ Questions have been designed based on the latest syllabus and examination pattern for Class 11. Our experts have designed MCQ Questions for Class 11 Sets with Answers for all chapters in your NCERT Class 11 Mathematics book. You can access all MCQs for Class 11 Mathematics

Sets Class 11 MCQ Questions with Answers

See below Sets Class 11 Mathematics MCQ Questions, solve the questions and compare your answers with the solutions provided below.

Question. If sets A and B are defined as   
A = {(x, y) : y = 1/x, x≠0 , xε R
B = {(x, y) : y = – x, x Î R}, then :
(a) A ∩B = A
(b) A ∩ B = B
(c) A ∩ B = Φ
(d) None of these

Question. Consider the set A of all determinants of order 3 with entries 0 and 1 only. Let B be the subset of A consisting of all determinants with value 1.   
Let C be the subset of the set A consisting of all  determinants with value -1. Then
(a) C is empty
(b) B has as many elements as C
(c) A = B∪ C
(d) B has twice as many elements as C

Question. If m is the universal set and P is a subset of m, then what is P ∩ {(P – m) ∪ (m – P)} equal to ?   
(a) f
(b) P’
(c) m
(d) P

Question.If f denotes the empty set, then which one of the following is correct ? 
(a) ΦεΦ
(b) Φε{Φ}
(c) {Φ}ε{Φ}
(d) 0εΦ

Question. Which one of the following statements is correct ? The power set of the null set is   
(a) null set
(b) a singleton set
(c) a finite set with two or more elements
(d) {ab |a Î R, b ÎN}

Question. Universal set,   
U = {x | x⁵ – 6x⁴ + 11x³ – 6x² = 0}
A = {x | x² – 5x + 6 = 0}
B = {x | x² – 3x + 2 = 0}
What is (A ∩ B)’ equal to ?
(a) {1, 3}
(b) {1, 2, 3}
(c) {0, 1, 3}
(d) {0, 1, 2, 3}

Question. Which one of the following operations on sets is not correct where B’ denotes the complement of B?   
(a) (B’ – A’) ∪ (A’ – B’) = (A ∪ B) – (A ∩ B)
(b) (A – B) ∪ (B – A) = (A’ ∪ B’) – (A’ ∩ B’)
(c) (B’ – A’) ∩ (A’ – B’) = (B – A) ∩ (A – B)
(d) (B’ – A’) ∩ (A’ – B’) = (B – A’) ∪ (A’ – B)

Question. let m = the set of all triangles, P = the set of all isosceles triangles, Q = the set of all equilateral triangles, R = the set of all right-angled triangles.   
What do the sets P ∩ Q and R – P represents respectively ?
(a) The set of isosceles triangles; the set of non- isosceles right angled triangles
(b) The set of isosceles triangles; the set of right angled triangles
(c) The set of equilateral triangles; the set of right angled triangles
(d) The set of isosceles triangles; the set of equilateral triangles

Question. Consider the following statements 1. Φε{Φ} 2. {Φ}εΦ   
Which of the statements given above is/are correct?
(a) 1 only
(b) 2 only
(c) Both 1 and 2
(d) Neither 1 nor 2

Question. Let A = {x : x is a multiple of 3} and B = { x : x is a multiple of 5}. Then A∩B is given by:   
(a) {15, 30, 45,…}
(b) {3, 6, 9,…}
(c) {15, 10, 15, 20…}
(d) {5, 10, 20,…}

Question. At a certain conference of 100 people, there are 29 Indian women and 23 Indian men. Of these Indian people 4 are doctors and 24 are either men or doctors. There are no foreign doctors. How many foreigners and women doctors are attending the conference?   
(a) 48, 1
(b) 34, 3
(c) 46, 4
(d) 42, 2

Question.If A is the set of the divisors of the number 15, B is the set of prime numbers smaller than 10 and C is the set of even numbers smaller than 9, then (A ∪ C) ∪ B is the set   
(a) {1, 3, 5}
(b) {1, 2, 3}
(c) {2, 3, 5}
(d) {2, 5}

Question.A set A has 3 elements and another set B has 6 elements. Then   
(a) 3 ≤ n (A ∪ B) ≤ 6
(b) 3 ≤ n (A ∪ B) ≤ 9
(c) 6 £ n (A ∪ B) ≤ 9
(d) 0 £ n (A ∪ B) ≤ 9

Question. Which of the following is a null set :   
(a) {0}
(b) {x : x > 0 or x < 0}
(c) {x : x 2 = 4 or x = 3}
(d) {x : x 2 + 1 = 0, x Î R}

Question. In a group of 52 persons, 16 drink tea but not coffee, while 33 drink tea. How many persons drink coffee but not tea ?   
(a) 17 
(b) 36
(c) 23
(d) 19

Question. In a town of 10000 families it was found that 40% families buy newspaper A, 20% families buy newspaper B and 10% families buy newspaper C, 5% families buy A and B, 3% buy B and C and 4% buy A and C. If 2% families buy all the three newspapers, then the number of families which buy A only is   
(a) 2900
(b) 1400
(c) 3300
(d) 3100

Question. In a class of 55 students, the number of students studying different subjects are, 23 in mathematics, 24 in Physics 19 in chemistry, 12 in mathematics and physics, 9 in mathematics and chemistry, 7 in physics and chemistry and 4 in all the three subjects. The number of students who  have taken exactly one subject is   
(a) 6
(b) 9
(c) 7
(d) all of these

Question. At a certain conference of 100 people, there are 29 Indian women and 23 Indian men. Of these Indian people 4 are doctors and 24 are either men or doctors. There are no foreign doctors.       
How many foreigners and women doctors are attending the conference?
(a) 48, 1
(b) 34, 3
(c) 46, 4
(d) 42, 2

Question. There are 600 student in a school. If 400 of them can speak Telugu, 300 can speak Hindi, then the number of students who can speak both Telugu and Hindi is:   
(a) 100
(b) 200
(c) 300
(d) 400

Question. In a class containing 120 students, 65 students drink tea and 84 students drink coffee. It x students drink both tea and coffee, what is the value of x ?   
(a) 39
(b) 65
(c) 29 ≤ x ≤ 65
(d) 29 ≤ x ≤ 84

Question. If P ={xÎR:f (x)=0} and Q ={xÎR:g(x)=0} then P ∪ Q is   
(a) {xÎR : f (x) + g(x) = 0}
(b) {xÎR : f (x) g(x) = 0}
(c) {xÎR : (f (x))2 + (g(x))2 = 0}
(d) none of these

Question. The set A = {x : x Î R, x2 = 16 and 2x = 6} equals   
(a) Φ
(b) {14, 3, 4}
(c) {3}
(d) {4}

Question. In a group of 500 students, there are 475 students who can speak Hindi and 200 can speak Bengali.     
What is the number of students who can speak Hindi only ?
(a) 275
(b) 300
(c) 325
(d) 350

Question. If X = {8n – 7n -1: nÎN} and Y = {49 (n -1):nÎN} then:     
(a) X ⊆ Y
(b) Y ⊂ X
(c) X = Y
(d) X ∪ Y = N

Question. Let F₁ be the set of parallelograms, F₂ the set of rectangles, F₃ the set of rhombuses, F₄ the set of squares and F₅ the set of trapeziums in a plane.   
Then F1 may be equal to
(a) F2 ∩ F3
(b) F3 ∩ F4
(c) F2 ∪ F5
(d) F2 ∪ F3 ∪ F4 ∪ F1

Question. Let f be a function on R or R given by f (x) = x² and let     
E = {x ε R:-1 ≤ x ≤ 0} and
F = {x ε R:0 ≤ x ≤ 1}
then which of the following is false
(a) f (E) = f (F)
(b) E ∩ F Ì f (E) ∩ f(F)
(c) E ∪ F Ì f (E) ∪ f(F)
(d) f (E ∩ F) = {0}

Question. Which of the following sets is a finite set?
(a) A = {x : x ∈ Z and x² – 5x + 6 = 0}
(b) B = {x : x ∈ Z and x² is even}
(c) D = {x : x ∈ Z and x > –10}
(d) All of these 

Question. Match the following statements in column-I with their symbolic forms in column-II. 

Codes:
     A B C D E
(a) 4 3 1 2 3
(b) 2 3 4 2 1
(c) 1 2 3 4 3
(d) 4 3 2 1 4 

Question. If A and B are two sets, then (A – B) ∪ (B – A) ∪ (A ∩ B) is equal to
(a) Only A
(b) A ∪ B
(c) (A ∪ B)’
(d) None of these 

Question. If a set is denoted as B = Φ, then the number of element in B is
(a) 3
(b) 2
(c) 1
(d) 0 

Question. Which one of the following is an infinite set ?
(a) The set of human beings on the earth
(b) The set of water drops in a glass of water
(c) The set of trees in a forest
(d) The set of all primes 

Question. The number of the proper subset of {a, b, c} is:
(a) 3
(b) 8
(c) 6
(d) 7 

Question. A = {x : x ¹ x} represents   
(a) {x}
(b) {1}
(c) { }
(d) {0}

Question. Two finite sets have m and n elements. The total number of subsets of the first set is 56 more than the total number of subsets of the second set. The values of m and n are     
(a) m = 7, n = 6
(b) m = 6, n = 3
(c) m = 5, n = 1
(d) m = 8, n = 7

ASSERTION-REASON TYPE QUESTIONS

(a) Assertion is correct, reason is correct; reason is a correct explanation for assertion.
(b) Assertion is correct, reason is correct; reason is not a correct explanation for assertion
(c) Assertion is correct, reason is incorrect 
(d) Assertion is incorrect, reason is correct.

Question. Assertion : The number of non-empty subsets of the set {a, b, c, d} are 15.
Reason : Number of non-empty subsets of a set having n elements are 2n – 1. 

Question. Suppose A, B and C are three arbitrary sets and U is a universal set.
Assertion : If B = U – A, then n(B) = n(U) – n(A). 
Reason : If C = A – B, then n(C) = n(A) – n(B).   

Question. Assertion : Let A = {1, {2, 3}}, then P(A) = {{1}, {2, 3}, Φ, {1, {2, 3}}}.
Reason : Power set is set of all subsets of A. 

Question. Assertion : The subsets of the set {1, {2}} are { }, {1}, {{2}} and {1, {2}}.
Reason : The total number of proper subsets of a set containing n elements is 2ⁿ – 1. 

Question. Assertion : For any two sets A and B, A – B ⊂ B . ‘
Reason : If A be any set, then A ∩ A’ = Φ. 

STATEMENT TYPE QUESTIONS

Question. State which of the following is/are true?
I. The set of animals living on the Earth is finite.
II. The set of circles passing through the origin (0, 0) is infinite.
(a) Only I
(b) Only II
(c) I and II
(d) None of these 

Question. Which of the following is/are true?
I. Every set A is a subset of itself.
II. Empty set is a subset of every set.
(a) Only I is true
(b) Only II is true
(c) Both I and II are true
(d) None of these 

Question. Consider the following statements
I. Φ ∈ {Φ}
II. {Φ} ⊆ Φ
Which of the statements given above is/are correct?
(a) Only I
(b) Only II
(c) Both I and II
(d) Neither I nor II   

Question. Which of the following is correct?
I. Number of non-empty subsets of a set having n elements are 2n – 1.
II. The number of non-empty subsets of the set {a, b, c, d} are 15.
(a) Only I is false
(b) Only II is false
(c) Both I and II are false
(d) Both I and II are true 

Question. Consider the following statements.
I. If An is the set of first n prime numbers, then ¹⁰U_n=2 A_n  is equal to {2, 3, 5, 7, 11, 13, 17, 19, 23, 29}
II. If A and B are two sets such that n (A ∪ B) = 50, n (A) = 28, n (B) = 32, then n (A ∩ B) = 10.
Which of these is correct?
(a) Only I is true
(b) Only II is true
(c) Both are true
(d) Both are false