Relations and Functions MCQs Class 12 Maths Chapter 1 MCQ Quiz

Relations and Functions MCQ Question Answers for CUET 2026 from Class 12 Maths Chapter 1

To score full marks in the CUET 2026 Maths exam, Practice Class 12 Maths Chapter 1 Relations and Functions MCQ Test any number of times free on our website. These questions have been created by our experts from the latest Class 12 Maths Syllabus and as per latest exam pattern. Multiple Choice Questions (MCQs) are a type of objective assessment in which a person is asked to choose one or more correct answers from a list of available options. An MCQ presents a question along with several possible answers. Most of the exams in India including CUET exam conduct online test to check your knowledge

Class 12 Maths Chapter 1 MCQs

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1. Let A = {x : -1 ≤ x ≤ 1} and f : A → A is a function defined by f(x) = x |x| then f is

a.injection but not surjection

b.neither injection nor surjection

c.surjection but not injection

d.a bijection

2. Question

a.±3

b.±2

c.±1

d.±4

3. Question

a.non-symmetric

b.symmetric

c.equivalence

d.transitive

4. If * is a binary operation on set of integers I defined by a * b = 3a + 4b – 2, then find the value of 4 * 5.

a.30

b.35

c.25

d.29

5. If a matrix A is both symmetric and skew-symmetric, then

a.A is a scalar matrix

b.A is a diagonal matrix

c.A is a square matrix

d.A is a zero matrix

6. Question

a.a

b.c

c.b

d.d

7. Question

a.Both (a) and (b)

b.Associative

c.None of these

d.Commutative

8. The smallest integer function f(x) = [x] is

a.None of these

b.Both (a) & (b)

c.Many-one

d.One-one

9. Let R be the relation “is congruent to” on the set of all triangles in a plane is

a.equivalence

b.symmetric and reflexive

c.reflexive

d.symmetric

10. Question

a.4 sq. units

b.9 sq. units

c.16 sq. units

d.3 sq. units

11. Let R be a relation on the set N of natural numbers denoted by nRm ⇔ n is a factor of m (i.e. n | m). Then, R is

a.Reflexive and symmetric

b.Equivalence

c.Reflexive, transitive but not symmetric

d.Transitive and symmetric

12. Question

a.b

b.a

c.c

d.d

13. Question

a.not associative

b.both (a) and (b)

c.not commutative

d.commutative

14. Question

a.absolute maxima at x = 2 and absolute minima at x = -2

b.absolute minima at x = 2 and absolute maxima at x = -2

c.local minima at x = 2, and local maxima at x = -2

d.a local maxima at x = 2 and local minima at x = -2

15. Let A = {1, 2, 3}. Then the number of relations containing (1, 2) and (1, 3), which are reflexive and symmetric but not transitive is

a.1

b.4

c.2

d.3

16. If there is an error of a% in measuring the edge of a cube, then the percentage error in its surface area is

17. Question

a.-1

b.π

c.0

d.1

18. Region represented by x ≥ 0, y ≥ 0 is

a.third quadrant

b.second quadrant

c.first quadrant

d.fourth quadrant

19. Question

a.Both (a) and (b)

b.commutative

c.None of these

d.associative

20. Objective function of a L.P.P.is

a.a constant

b.a function to be optimized

c.none of these

d.a relation between the variables

21. The maximum number of equivalence relations on the set A = {1, 2, 3} are

a.3

b.2

c.5

d.1

22. If N be the set of all-natural numbers, consider f : N → N such that f(x) = 2x, ∀ x ∈ N, then f is

a.one-one into

b.many-one onto

c.None of these

d.one-one onto

23. Question

a.b

b.c

c.a

d.d

24. Question

a.0

b.10

c.1

d.-1

25. Let * be the binary operation on N given by a * b = HCF (a, b) where, a, b ∈ N. Find the value of 22 * 4.

a.2

b.4

c.1

d.3

26. Question

a.c

b.b

c.a

d.d

27. Question

a.80 at (3, 2)

b.75 at (0, 3)

c.30 at (3, 0)

d.95 at (2, 3)

28. Question

a.many-one into

b.one-one onto

c.many-one onto

d.one-one into

29. Question

a.1

b.0

c.3

d.2

30. Question

a.b

b.c

c.a

d.d

31. Z = 7x + y, subject to 5x + y ≥ 5, x + y ≥ 3, x ≥ 0, y ≥ 0. The minimum value of Z occurs at

a.(7, 0)

b.(0, 5)

c.(3, 0)

d.(1/2, 5/2)

32.

Question

a.onto but not one-one

b.neither one-one nor onto

c.one-one and onto

d.one-one but not onto

33. Question

a.c

b.d

c.a

d.b

34.

Question

a.a

b.c

c.b

d.d

35. Question

a.b

b.c

c.a

d.d

36. Total number of equivalence relations defined in the set S = {a, b, c} is

a.33

b.5

c.23

d.3!

37. Question

a.reflexive only

b.Equivalence relation

c.Symmetric only

d.Transitive only

38.

Question

a.neither one-one nor onto

b.a one-one function

c.a bijection

d.an onto function

39. The maximum value of f = 4x + 3y subject to constraints x ≥ 0, y ≥ 0, 2x + 3y ≤ 18; x + y ≥ 10 is

a.36

b.35

c.none of these

d.34

40. Let A = {1, 2, 3} and consider the relation R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3)}. Then R is

a.symmetric and transitive

b.neither symmetric, nor transitive

c.reflexive but not symmetric

d.reflexive but not transitive

41. Let a, b and c be vectors with magnitudes 3, 4 and 5 respectively and a + b + c = 0, then the values of a.b + b.c + c.a is

a.50

b.47

c.-25

d.25

42. The number of commutative binary operations that can be defined on a set of 2 elements is

a.4

b.6

c.8

d.2

43. Question

a.None of these

b.1

c.7/2

d.3

44. Question

a.g is one-one on R

b.g is bijective on R

c.g is not one-one on R

d.None of these

45. Let A = N × N and * be the binary operation on A defined by (a, b) * (c, d) = (a + c, b + d). Then * is

a.Both (a) and (b)

b.commutative

c.associative

d.None of these

46. Question

a.1

b.5

c.6

d.3

47. Number of binary operations on the set {a, b} are

a.10

b.8

c.16

d.20

48. The function f : R → R defined by f(x) = 3 – 4x is

a.Onto

b.None one-one

c.Not onto

d.None of these

49. If set A contains 5 elements and the set B contains 6 elements, then the number of one-one and onto mappings from A to B is

a.none of these

b.720

c.0

d.120

To summarize, revising for free using our MCQs on Class 12 Maths Chapter 1 Relations and Functions is highly beneficial for scoring full marks on the CUET 2026 Maths exam. We provide a sophisticated online test platform tailored for unlimited practice through proficiently crafted questions built on the most recent syllabus and exam pattern. Practicing MCQs regularly will boost conceptual understanding as they are significant for objective assessments. Start practicing now to succeed in your CUET 2026 Maths exam!

Also See :

Inverse Trigonometric Functions MCQs Class 12 Chapter 2
Matrices MCQs Class 12 Chapter 3
Determinants MCQs Class 12 Chapter 4
Continuity and Differentiability MCQs Class 12 Chapter 5
Applications of Derivatives MCQs Class 12 Chapter 6
Integrals MCQs Class 12 Chapter 7
Application of the Integrals MCQs Class 12 Chapter 8
Differential Equations MCQs Class 12 Chapter 9
Vectors MCQs Class 12 Chapter 10
Three Dimensional Geometry MCQs Class 12 Chapter 11
Linear Programming MCQs Class 12 Chapter 12
Multiplication Theorem Probability MCQs Class 12 Chapter 13

Relations and Functions MCQs Class 12 Maths Chapter 1 – MCQ Question and Answers

Relations and Functions MCQ Question Answers for CUET 2026 from Class 12 Maths Chapter 1

Class 12 Maths Chapter 1 MCQs

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