Relations and Functions MCQs Class 12 Maths Chapter 1 MCQ Quiz

Relations and Functions MCQ Question Answers for CUET 2025 from Class 12 Maths Chapter 1

To score full marks in the CUET 2025 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. Question

a.1

b.π

c.0

d.-1

2. Question

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

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

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

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

3. Question

a.a

b.b

c.d

d.c

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

5. Question

a.a

b.c

c.b

d.d

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

a.16

b.8

c.10

d.20

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

a.4

b.2

c.8

d.6

8. 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.3

b.2

c.1

d.4

9. Question

a.commutative

b.associative

c.Both (a) and (b)

d.None of these

10. 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.30

c.35

d.29

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

a.A is a square matrix

b.A is a zero matrix

c.A is a diagonal matrix

d.A is a scalar matrix

12. Question

a.g is bijective on R

b.None of these

c.g is not one-one on R

d.g is one-one on R

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

a.5

b.33

c.3!

d.23

14. Question

a.a

b.b

c.c

d.d

15. 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

16. Question

a.7/2

b.None of these

c.3

d.1

17. Question

a.Associative

b.Commutative

c.Both (a) and (b)

d.None of these

18. Question

a.±4

b.±1

c.±3

d.±2

19. 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

20. Question

a.c

b.d

c.a

d.b

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

a.none of these

b.a function to be optimized

c.a relation between the variables

d.a constant

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

a.first quadrant

b.fourth quadrant

c.third quadrant

d.second quadrant

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

a.1

b.2

c.5

d.3

24. Question

a.16 sq. units

b.4 sq. units

c.9 sq. units

d.3 sq. units

25. Question

a.symmetric

b.non-symmetric

c.transitive

d.equivalence

26. 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.None of these

c.one-one into

d.many-one onto

27. 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 transitive

d.reflexive but not symmetric

28. Question

a.c

b.d

c.a

d.b

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

a.a bijection

b.injection but not surjection

c.surjection but not injection

d.neither injection nor surjection

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

a.(1/2, 5/2)

b.(3, 0)

c.(7, 0)

d.(0, 5)

31. 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.Both (a) and (b)

c.associative

d.commutative

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.2

c.4

d.1

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

a.Both (a) & (b)

b.None of these

c.One-one

d.Many-one

34. Question

a.a

b.c

c.b

d.d

35. Question

a.2

b.3

c.1

d.0

36. Question

a.95 at (2, 3)

b.75 at (0, 3)

c.80 at (3, 2)

d.30 at (3, 0)

37. Question

a.c

b.b

c.a

d.d

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

a.34

b.36

c.none of these

d.35

39. 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.720

c.none of these

d.120

40.

Question

a.c

b.b

c.a

d.d

41.

Question

a.neither one-one nor onto

b.an onto function

c.a one-one function

d.a bijection

42. 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.Transitive and symmetric

d.Equivalence

43. Question

a.5

b.6

c.1

d.3

44. Question

a.one-one onto

b.many-one onto

c.one-one into

d.many-one into

45.

Question

a.one-one and onto

b.onto but not one-one

c.neither one-one nor onto

d.one-one but not onto

46. Question

a.Transitive only

b.reflexive only

c.Symmetric only

d.Equivalence relation

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

a.Not onto

b.None one-one

c.None of these

d.Onto

48. Question

a.not associative

b.both (a) and (b)

c.not commutative

d.commutative

49. Question

a.1

b.-1

c.10

d.0

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 2025 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 2025 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 2025 from Class 12 Maths Chapter 1

Class 12 Maths Chapter 1 MCQs

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