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9.MCQs on Sets & Functions
Class 11 • Mathematics • NCERT
MCQs on Sets & Functions
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This MCQ practice set covers important questions from Sets, Relations, and Functions strictly based on NCERT Class 11 syllabus. These questions help students prepare confidently for school exams and competitive foundations.
Instructions
- All questions are based strictly on NCERT.
- Choose the correct option.
- Answer key is given at the end.
MCQs
- A set is a
A. Collection of objects
B. Well-defined collection of objects
C. Group of similar objects
D. Random collection - The empty set is also called
A. Singleton set
B. Universal set
C. Null set
D. Infinite set - The number of elements in the empty set is
A. 0
B. 1
C. Infinite
D. Undefined - If A = {1,2,3}, then number of subsets of A is
A. 3
B. 6
C. 8
D. 9 - If A ⊆ B and B ⊆ A, then
A. A ⊂ B
B. B ⊂ A
C. A = B
D. A ∩ B = ∅ - The union of two sets A and B contains
A. Only common elements
B. Elements of A only
C. Elements of B only
D. All elements of A and B - The intersection of two sets A and B contains
A. All elements of A
B. All elements of B
C. Common elements
D. No elements - An ordered pair (a, b) is equal to (b, a) when
A. a ≠ b
B. a = b
C. Always
D. Never - A relation from A to B is a subset of
A. B × A
B. A × B
C. A ∪ B
D. A ∩ B - A function is a relation in which every element of domain has
A. At least one image
B. Exactly one image
C. More than one image
D. No image - If f : A → B is a function, then A is called
A. Codomain
B. Range
C. Domain
D. Image - The range of a function is always
A. Equal to domain
B. Subset of codomain
C. Equal to codomain
D. Empty - A function f(x) = x² is
A. One–one
B. Onto
C. Many–one
D. Identity - If f : A → B is onto, then
A. Range ⊂ Codomain
B. Range = Codomain
C. Domain = Codomain
D. Domain ⊂ Range - The identity function on set A is defined as
A. f(x) = 1
B. f(x) = 0
C. f(x) = x
D. f(x) = x²
✅ Show Answer Key
- B
- C
- A
- C
- C
- D
- C
- B
- B
- B
- C
- B
- C
- B
- C
© Aviate Learning – Sets & Functions MCQs (NCERT Class 11)