MCQs on Sets for CBSE Class 11 Maths (NCERT-Based Practice Questions)

MCQs on Sets for CBSE Class 11 Maths

Class: 11 | Subject: Mathematics | Section: Sets & Functions
Topic: NCERT‑Based Practice Questions
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 set having no element is called:

A) Finite Set
B) Singleton Set
C) Empty Set
D) Universal Set

Answer: C) Empty Set
Explanation: A set with zero elements is called a null or empty set, denoted by ∅.

2. If A = {1,2,3} then n(A) equals:

A) 1
B) 2
C) 3
D) 0

Answer: C) 3
Explanation: n(A) denotes number of elements. Set A has three elements.

3. {a,e,i,o,u} is a:

A) Finite Set
B) Infinite Set
C) Equal Set
D) Null Set

Answer: A) Finite Set
Explanation: It has limited elements (5 vowels).

4. Roster form lists elements:

A) In statement form
B) One by one
C) Algebraically
D) Graphically

Answer: B) One by one
Explanation: Elements are written within braces separated by commas.

5. Universal set is denoted by:

A) U
B) V
C) S
D) E

Answer: A) U
Explanation: U represents the set containing all elements under discussion.

6. A ⊆ B means:

A) A = B
B) A is subset of B
C) B subset of A
D) Disjoint

Answer: B) A is subset of B
Explanation: Every element of A belongs to B.

7. Number of subsets of a set having 2 elements:

A) 2
B) 4
C) 6
D) 8

Answer: B) 4
Explanation: Total subsets = 2ⁿ = 2² = 4.

8. Power set contains:

A) Only proper subsets
B) All subsets
C) Only empty set
D) Only universal set

Answer: B) All subsets
Explanation: Includes empty set and the set itself.

9. A ∪ B represents:

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

Answer: B) Union
Explanation: Elements belonging to A or B or both.

10. A ∩ B represents:

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

Answer: B) Intersection
Explanation: Common elements of both sets.

11. Disjoint sets have:

A) Same elements
B) No common elements
C) Infinite elements
D) Equal elements

Answer: B) No common elements
Explanation: Their intersection is empty.

12. Complement of universal set is:

A) Universal set
B) Empty set
C) Finite set
D) Singleton

Answer: B) Empty set
Explanation: Nothing lies outside universal set.

13. If A ⊂ B and B ⊂ C then A ⊂ C is:

A) Reflexive
B) Symmetric
C) Transitive
D) Not true

Answer: C) Transitive
Explanation: Subset relation follows transitive property.

14. Venn diagrams are used to show:

A) Numbers
B) Set relations
C) Graphs
D) Equations

Answer: B) Set relations
Explanation: They visually represent operations and relationships.

15. Equal sets have:

A) Same number of elements only
B) Same elements
C) No elements
D) Infinite elements

Answer: B) Same elements
Explanation: Order does not matter.

16. Equivalent sets have:

A) Same elements
B) Same number of elements
C) Infinite elements
D) Subsets

Answer: B) Same number of elements
Explanation: Cardinality is equal.

17. Cartesian product A × B gives:

A) Subsets
B) Ordered pairs
C) Union
D) Difference

Answer: B) Ordered pairs
Explanation: Each element of A pairs with B.

18. If n(A)=3 and n(B)=2 then n(A×B)=

A) 5
B) 6
C) 3
D) 2

Answer: B) 6
Explanation: n(A×B)= n(A)×n(B).

19. A set which is subset of every set:

A) Universal
B) Empty set
C) Finite set
D) Power set

Answer: B) Empty set
Explanation: ∅ ⊆ every set.

20. Number of elements in power set of a 3‑element set:

A) 3
B) 6
C) 8
D) 9

Answer: C) 8
Explanation: Power set size = 2³ = 8.

MCQs on Sets for CBSE Class 11 Maths (NCERT-Based Practice Questions)

MCQs on Sets for CBSE Class 11 Maths

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