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.many-one onto

b.one-one onto

c.one-one into

d.many-one into

2. Question

a.b

b.d

c.c

d.a

3. Question

a.b

b.a

c.c

d.d

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

a.35

b.34

c.none of these

d.36

5. Question

a.6

b.1

c.3

d.5

6. Question

a.reflexive only

b.Symmetric only

c.Transitive only

d.Equivalence relation

7. Question

a.associative

b.Both (a) and (b)

c.commutative

d.None of these

8. Question

a.-1

b.1

c.0

d.10

9. 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.surjection but not injection

c.a bijection

d.neither injection nor surjection

10. Question

a.9 sq. units

b.16 sq. units

c.4 sq. units

d.3 sq. units

11. 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

12. Question

a.a

b.c

c.d

d.b

13. Question

a.0

b.1

c.π

d.-1

14. Question

a.95 at (2, 3)

b.30 at (3, 0)

c.80 at (3, 2)

d.75 at (0, 3)

15. Question

a.Commutative

b.Both (a) and (b)

c.Associative

d.None of these

16. 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

17.

Question

a.onto but not one-one

b.one-one but not onto

c.one-one and onto

d.neither one-one nor onto

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

a.A is a square matrix

b.A is a diagonal matrix

c.A is a zero matrix

d.A is a scalar matrix

19. 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

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.1

b.4

c.2

d.3

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

a.33

b.3!

c.5

d.23

22.

Question

a.a

b.c

c.b

d.d

23. 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

24. Question

a.commutative

b.not commutative

c.not associative

d.both (a) and (b)

25. 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 symmetric

b.reflexive but not transitive

c.neither symmetric, nor transitive

d.symmetric and transitive

26.

Question

a.a one-one function

b.neither one-one nor onto

c.a bijection

d.an onto function

27. Question

a.b

b.d

c.c

d.a

28. 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.47

b.25

c.50

d.-25

29. Question

a.3

b.None of these

c.1

d.7/2

30. Question

a.c

b.b

c.d

d.a

31. Question

a.symmetric

b.transitive

c.equivalence

d.non-symmetric

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

a.Both (a) & (b)

b.One-one

c.Many-one

d.None of these

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

a.2

b.3

c.1

d.5

34. 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.3

d.2

35. 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)

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

37. 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

38. Question

a.±3

b.±4

c.±2

d.±1

39. Question

a.b

b.a

c.c

d.d

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

a.symmetric

b.equivalence

c.reflexive

d.symmetric and reflexive

41. Question

a.d

b.b

c.a

d.c

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

a.4

b.6

c.2

d.8

43. 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

44. Question

a.2

b.1

c.3

d.0

45. 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

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

a.second quadrant

b.first quadrant

c.third quadrant

d.fourth quadrant

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

a.None of these

b.one-one into

c.one-one onto

d.many-one onto

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

a.16

b.20

c.10

d.8

49. 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.35

b.30

c.29

d.25

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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