Venn Diagram & Set Operations MCQs Class 11 Maths

Class: 11 | Subject: Mathematics | Section: Sets & Functions
Topic: Venn Diagram & Set Operations – NCERT Based MCQs
Aligned with CBSE Board Examination Standard

Instructions: These Multiple Choice Questions (MCQs) are designed strictly as per the NCERT syllabus, making them ideal for CBSE Class 11 Board Examination practice. Each question includes a detailed concept‑clearing explanation.

1. A ∪ B represents:

A) Common elements
B) All elements of A and B
C) Elements in A only
D) Elements in B only

Answer: B
Explanation: Union contains elements belonging to A or B or both.

2. A ∩ B denotes:

A) Union
B) Intersection
C) Complement
D) Difference

Answer: B
Explanation: Intersection contains common elements.

3. If A and B are disjoint, then A ∩ B equals:

A) A
B) B
C) ∅
D) U

Answer: C
Explanation: Disjoint sets have no common elements.

4. Complement of A is denoted by:

A) A ∪ B
B) A′
C) A × B
D) A − B

Answer: B
Explanation: A′ contains elements not in A.

5. U − A equals:

A) A′
B) A ∩ U
C) A ∪ U
D) ∅

Answer: A
Explanation: Complement definition.

6. A − B means:

A) Common elements
B) Elements in A not in B
C) Elements in B not in A
D) Union

Answer: B
Explanation: Set difference operation.

7. Number of regions in 2‑set Venn diagram:

A) 2
B) 3
C) 4
D) 5

Answer: C
Explanation: A only, B only, intersection, outside.

8. De Morgan’s Law: (A ∪ B)′ equals:

A) A′ ∪ B′
B) A′ ∩ B′
C) A ∩ B
D) A ∪ B

Answer: B
Explanation: Complement of union = intersection of complements.

9. (A ∩ B)′ equals:

A) A′ ∩ B′
B) A′ ∪ B′
C) A ∪ B
D) None

Answer: B
Explanation: Second De Morgan’s law.

10. A ∪ ∅ equals:

A) ∅
B) A
C) U
D) B

Answer: B
Explanation: Union with empty set gives original set.

11. A ∩ U equals:

A) A
B) U
C) ∅
D) B

Answer: A
Explanation: Universal set contains all elements.

12. A ∪ U equals:

A) A
B) ∅
C) U
D) B

Answer: C
Explanation: Union with universal set gives U.

13. A ∩ ∅ equals:

A) A
B) ∅
C) U
D) B

Answer: B
Explanation: No common elements with empty set.

14. Venn diagrams are mainly used to:

A) Solve equations
B) Represent set relations visually
C) Plot graphs
D) Find derivatives

Answer: B
Explanation: Visual representation of sets.

15. If n(A)=20, n(B)=15, n(A∩B)=5, then n(A∪B)=

A) 30
B) 25
C) 20
D) 15

Answer: A
Explanation: n(A∪B)=n(A)+n(B)−n(A∩B).

16. If A ⊆ B then A ∩ B equals:

A) A
B) B
C) ∅
D) U

Answer: A
Explanation: All elements of A lie in B.

17. If A ⊆ B then A ∪ B equals:

A) A
B) B
C) ∅
D) None

Answer: B
Explanation: B already contains A.

18. Complement of ∅ is:

A) ∅
B) U
C) A
D) B

Answer: B
Explanation: Everything lies outside empty set.

19. Maximum intersection occurs when sets are:

A) Disjoint
B) Equal
C) Empty
D) Universal

Answer: B
Explanation: All elements common.

20. Region outside all circles represents:

A) Union
B) Complement of A∪B
C) Intersection
D) Difference

Answer: B
Explanation: Elements not in any set.

Venn Diagram & Set Operations MCQs Class 11 Maths

Venn Diagram & Set Operations MCQs Class 11 Maths

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