NCERT Class 11 Chapter 1 Maths Set Theory MCQ

NCERT Class 11 Chapter 1 Maths Set Theory MCQ | Questions & Answers: Do you wish to improve your knowledge regarding the Class 11 Chapter 1 Maths Set Theory concept? If yes, then this article is the perfect one for you. Check out the below section & attempt the quiz right away.

Page 1 of 25

1. 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}

Page 2 of 25

2. 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}

Page 3 of 25

3. 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 arenondisjoint.

Page 4 of 25

4. The set (A∪B∪C)∩(A∩B¢∩C¢)'∩C¢ is equal to

A. B∩C¢

B. A∩C

C. B∩ C

D. A∩C¢

Page 5 of 25

5. 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

Page 6 of 25

6. Which of the following is correct for A – B?

A. A ∩ B

B. A' ∩ B

C. A ∩ B'

D. A' ∩ B'

Page 7 of 25

7. Which one is different from the others ?
(i) empty (ii) void (iii) zero (iv) null :

A. (i)

B. (ii)

C. (iii)

D. (iv)

Page 8 of 25

8. 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

Page 9 of 25

9. 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

Page 10 of 25

10. 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)

Page 11 of 25

11. 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}

Page 12 of 25

12. If A = {1, 2, 3, 4, 5}, then the number of proper subsets of A is :

A. 31

B. 38

C. 48

D. 54

Page 13 of 25

13. 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]

Page 14 of 25

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

Page 15 of 25

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]

Page 16 of 25

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}}

Page 17 of 25

17. 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

Page 18 of 25

18. 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)

Page 19 of 25

19. 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}

Page 20 of 25

20. 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}

Page 21 of 25

21. If A and B are two sets, then A ∩ (A ∪ B)' equals :

A. A

B. B

C. f

D. None

Page 22 of 25

22. How many elements has P(A), if A = f ?

A. two

B. one

C. three

D. zero

Page 23 of 25

23. 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}

Page 24 of 25

24. 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'

Page 25 of 25

25. 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)