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, 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.25

c.50

d.47

2. Question

a.c

b.a

c.d

d.b

3. Question

a.75 at (0, 3)

b.80 at (3, 2)

c.95 at (2, 3)

d.30 at (3, 0)

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

a.a function to be optimized

b.a relation between the variables

c.a constant

d.none of these

5. Question

a.Both (a) and (b)

b.associative

c.commutative

d.None of these

6. Question

a.d

b.c

c.b

d.a

7. Question

a.a

b.b

c.d

d.c

8. Question

a.one-one onto

b.many-one into

c.one-one into

d.many-one onto

9. 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, transitive but not symmetric

b.Reflexive and symmetric

c.Equivalence

d.Transitive and symmetric

10. Question

a.None of these

b.g is bijective on R

c.g is not one-one on R

d.g is one-one on R

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

a.many-one onto

b.None of these

c.one-one onto

d.one-one into

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

a.3!

b.23

c.33

d.5

13.

Question

a.a bijection

b.neither one-one nor onto

c.a one-one function

d.an onto function

14. Question

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

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

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

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

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

a.2

b.5

c.1

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.c

b.d

c.b

d.a

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

a.Many-one

b.One-one

c.None of these

d.Both (a) & (b)

19. 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.neither injection nor surjection

c.a bijection

d.injection but not surjection

20. 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.4

b.3

c.2

d.1

21. Question

a.Transitive only

b.Symmetric only

c.reflexive only

d.Equivalence relation

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

a.associative

b.Both (a) and (b)

c.commutative

d.None of these

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

a.None of these

b.Not onto

c.Onto

d.None one-one

24. Question

a.b

b.c

c.d

d.a

25. 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.0

b.120

c.720

d.none of these

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

a.2

b.4

c.6

d.8

27. Question

a.b

b.c

c.a

d.d

28.

Question

a.one-one but not onto

b.neither one-one nor onto

c.one-one and onto

d.onto but not one-one

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

a.reflexive

b.symmetric and reflexive

c.equivalence

d.symmetric

30. Question

a.d

b.b

c.c

d.a

31. Question

a.3

b.1

c.None of these

d.7/2

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

a.(3, 0)

b.(1/2, 5/2)

c.(7, 0)

d.(0, 5)

33. Question

a.0

b.π

c.1

d.-1

34. Question

a.both (a) and (b)

b.commutative

c.not associative

d.not commutative

35. Question

a.4 sq. units

b.16 sq. units

c.9 sq. units

d.3 sq. units

36. Question

a.2

b.1

c.0

d.3

37. Question

a.None of these

b.Both (a) and (b)

c.Associative

d.Commutative

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

a.20

b.10

c.8

d.16

39. Question

a.10

b.0

c.1

d.-1

40. Question

a.1

b.5

c.3

d.6

41. Question

a.non-symmetric

b.transitive

c.symmetric

d.equivalence

42. 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

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

a.first quadrant

b.second quadrant

c.fourth quadrant

d.third quadrant

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

a.A is a square matrix

b.A is a scalar matrix

c.A is a zero matrix

d.A is a diagonal matrix

45. 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.2

b.1

c.3

d.4

46. Question

a.d

b.c

c.a

d.b

47. 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.25

b.35

c.30

d.29

48. 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.neither symmetric, nor transitive

b.reflexive but not symmetric

c.reflexive but not transitive

d.symmetric and transitive

49. Question

a.±2

b.±1

c.±3

d.±4

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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