# MCQ Questions for Class 11 Maths Chapter 1 Sets with answers

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Below you will find MCQ Questions of Chapter 1 Sets Class 11 Maths Free PDF Download that will help you in gaining good marks in the examinations and also cracking competitive exams. These Class 11 MCQ Questions with answers will widen your skills and understand concepts in a better manner.

# MCQ Questions for Class 11 Maths Chapter 1 Sets with answers

1. (A’)’ = ?

(a) ∪ – A

(b) A’

(c) ∪

(d) A

► (d) A

2. Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {1, 2, 5}, B = {6, 7}. Then A ∩ B’ is :

(a) A

(b) B

(c) B’

(d) None

► (a) A

3. If (x – 1, y + 1) = (5, 6), then the value of x and y is given by

(a) x = 5, y = 5

(b) x = 6, y = 5

(c) x = 5, y = 6

(d) x = 0, y = 0

► (b) x = 6, y = 5

4. If n (A) = 3 and n (B) = 6 and A ⊆ B, then the number of elements in A ∩ B is equal to

(a) 9

(b) 3

(c) 6

(d) 0

► (b) 3

5. Let A  and B be two sets then (A ∪ B)′ ∪ (A′ ∩ B) is equal to

(a) A'

(b) A

(c) B'

(d) None of these

► (a) A'

6. The cardinality of the power set of {0, 1, 2 . . ., 10} is ______.

(a) 1024

(b) 1023

(c) 2048

(d) 2043

► (c) 2048

7. If A = {0,1,5, 4, 7}. Then the total number subsets of A are

(a) 32

(b) 64

(c) 40

(d) None of these

► (a) 32

8. What is the cardinality of the set of odd positive integers less than 10?

(a) 10

(b) 5

(c) 3

(d) 20

► (b) 5

9. If A and B be two sets such that n (A) = 70, n (B) = 60, and n (A ∪ B) = 110. Then n (A ∩ B) is equal to

(a) 20

(b) 120

(c) 240

(d) 100

► (a) 20

10. If A and B be any two sets, then (A ∪ B)‘ is equal to

(a) A′ ∪ B′

(b) A ∪ B

(c) A ∩ B

(d) A′ ∩ B′

► (d) A′ ∩ B′

11. Which of the following sets are null sets

(a) {x: |x |< -4, x ?N}

(b) 2 and 3

(c) Set of all prime numbers between 15 and 19

(d) {x: x < 5, x > 6}

► (b) 2 and 3

12. Which of the following statements is true?

(a) {3} ∈ {1, 3, 5}

(b) {1} ∈ {1, 3, 5}

(c) {3, 5} ∈ {1, 3, 5}

(d) 3 ∈ {1, 3, 5}

► (d) 3 ∈ {1, 3, 5}

13. If the sets A and B are defined as A = {(x, y) : y = ex, x ∈ R}; B = {(x, y) : y = x,x ∈ R}, then

(a) B ⊆ A

(b) A ⊆ B

(c) A ∪ B = A

(d) A ∩ B = φ

► (d) A ∩ B = φ

14. Let A = {x : x ∈ R, |x| < 1}; B = {x : x ∈ R, |x − 1| ≥ 1} and A ∪ B = R − D, then the set D is (R ∈ Set of real numbers)

(a) {x : 1 < x ≤ 2}

(b) {x : 1 ≤ x ≤ 2}

(c) {x : 1 ≤ x < 2}

(d) None of these

► (c) {x : 1 ≤ x < 2}

15. The range of the function f(x) = 3x – 2‚ is

(a) (- ∞, ∞)

(b) R – {3}

(c) (- ∞, 0)

(d) (0, – ∞)

► (a) (- ∞, ∞)

16. If A and B are sets, then A ∩ (B – A) is

(a) ϕ

(b) B

(c) A

(d) None of these

► (a) ϕ

17. Empty set is a?

(a) Finite Set

(b) Invalid Set

(c) None of the above

(d) Infinite Set

► (a) Finite Set

18. Which set is the subset of all given sets?

(a) {1}

(b) {0}

(c) { }

(d) {1, 2, 3, 4}

► (c) { }

19. Which of the following two sets are equal?

(a) A = {1, 2} and B = {1}

(b) A = {1, 2} and B = {1, 2, 3}

(c) A = {1, 2, 3} and B = {2, 1, 3}

(d) A = {1, 2, 4} and B = {1, 2, 3}

► (c) A = {1, 2, 3} and B = {2, 1, 3}

20. Given n(U) = 20 ,n(A) = 12,n(B) = 9,n(A ∩ B) = 4, where U is the universal set, A and B are subsets of U, then n((A ∪ B)c) =

(a) 17

(b) 9

(c) 3

(d) 11

► (c) 3

21. If A = {a, b}, B = {c, d}, C = {d, e}, then {(a, c), (a, d),(a, e), (b, c), (b, d), (b, e)} is equal to

(a) A × (B ∩ C)

(b) A ∪ (B ∩ C)

(c) A ∩ (B ∪ C)

(d) A × (B ∪ C)

► (d) A × (B ∪ C)

22. If A, B, C be any three sets such that A ∪ B = A ∪ C and A ∩ B = A ∩ C, then

(a) A = C

(b) A = B

(c) A = B = C

(d) B = C

► (d) B = C

23. Given the sets A = {1, 2, 3}, B = {3 , 4}, C = {4 , 5, 6}, then A ∪ (B ∩ C) is

(a) {3}

(b) {1, 2 ,3 , 4, 5, 6}

(c) {1, 2 , 3 , 4}

(d) None of these

► (c) {1, 2 , 3 , 4}

24. If A = {2, 4, 6, 8} and U = {1, 2, 3, 4, 5, 6, 7, 8, 9,}, then A’=

(a) {1,3,5,7,9}

(b) {1,3,5,7}

(c) {1,3,5,6,9}

(d) {1,3,5,8,9}

► (a) {1,3,5,7,9}

Hope the given MCQ Questions will help you in cracking exams with good marks. These Sets MCQ Questions will help you in practising more and more questions in less time.