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 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.Equivalence

b.Transitive and symmetric

c.Reflexive, transitive but not symmetric

d.Reflexive and symmetric

2. 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.25

b.50

c.47

d.-25

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

a.A is a zero matrix

b.A is a square matrix

c.A is a scalar matrix

d.A is a diagonal matrix

4. Question

a.None of these

b.commutative

c.associative

d.Both (a) and (b)

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

a.Onto

b.None of these

c.None one-one

d.Not onto

6. Question

a.30 at (3, 0)

b.95 at (2, 3)

c.80 at (3, 2)

d.75 at (0, 3)

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

a.(0, 5)

b.(3, 0)

c.(7, 0)

d.(1/2, 5/2)

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

a.symmetric and reflexive

b.symmetric

c.reflexive

d.equivalence

9. 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 onto

b.many-one onto

c.one-one into

d.None of these

10. Question

a.a

b.b

c.c

d.d

11. Question

a.a

b.b

c.c

d.d

12. 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.3

c.4

d.2

13. Question

a.d

b.b

c.a

d.c

14. Question

a.16 sq. units

b.3 sq. units

c.9 sq. units

d.4 sq. units

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

a.None of these

b.associative

c.commutative

d.Both (a) and (b)

16. Question

a.3

b.None of these

c.7/2

d.1

17.

Question

a.neither one-one nor onto

b.onto but not one-one

c.one-one and onto

d.one-one but not onto

18.

Question

a.a bijection

b.neither one-one nor onto

c.a one-one function

d.an onto function

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

a.2

b.6

c.4

d.8

20. Question

a.commutative

b.not associative

c.both (a) and (b)

d.not commutative

21. 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.29

b.30

c.35

d.25

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

a.fourth quadrant

b.second quadrant

c.third quadrant

d.first quadrant

23. Question

a.non-symmetric

b.transitive

c.symmetric

d.equivalence

24. Question

a.Transitive only

b.reflexive only

c.Symmetric only

d.Equivalence relation

25. Question

a.g is one-one on R

b.g is bijective on R

c.None of these

d.g is not one-one on R

26. Question

a.d

b.a

c.b

d.c

27. Question

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

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

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

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

28.

Question

a.d

b.a

c.c

d.b

29. Question

a.1

b.0

c.-1

d.10

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

a.One-one

b.None of these

c.Many-one

d.Both (a) & (b)

31. 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.reflexive but not transitive

b.symmetric and transitive

c.neither symmetric, nor transitive

d.reflexive but not symmetric

32. 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.3

b.4

c.1

d.2

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

34. Question

a.many-one onto

b.many-one into

c.one-one into

d.one-one onto

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

a.5

b.33

c.23

d.3!

36. 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.0

c.120

d.720

37. Question

a.Both (a) and (b)

b.Associative

c.None of these

d.Commutative

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

a.3

b.1

c.5

d.2

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

a.8

b.16

c.20

d.10

40. Question

a.a

b.b

c.c

d.d

41. Question

a.a

b.d

c.b

d.c

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

a.none of these

b.34

c.35

d.36

43. Question

a.2

b.0

c.3

d.1

44. Question

a.1

b.3

c.6

d.5

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

a.surjection but not injection

b.a bijection

c.injection but not surjection

d.neither injection nor surjection

46. Question

a.b

b.c

c.d

d.a

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

a.none of these

b.a constant

c.a function to be optimized

d.a relation between the variables

48. Question

a.±3

b.±1

c.±4

d.±2

49. Question

a.-1

b.0

c.1

d.π

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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