CUET 2024 Maths Chapter 1 - Relations and Functions MCQs

Maths Chapter 1 – Relations and Functions MCQ Question Answers for CUET 2024

1. 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.equivalence

d.reflexive

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.47

c.-25

d.50

3. Question

a.one-one onto

b.many-one into

c.many-one onto

d.one-one into

4. Question

a.10

b.-1

c.1

d.0

5. Question

a.Associative

b.Both (a) and (b)

c.Commutative

d.None of these

6. 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.(1/2, 5/2)

c.(3, 0)

d.(7, 0)

7. Question

a.a

b.c

c.d

d.b

8. Question

a.a

b.d

c.b

d.c

9. Question

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

10. Question

a.not associative

b.commutative

c.both (a) and (b)

d.not commutative

11.

Question

a.one-one but not onto

b.neither one-one nor onto

c.onto but not one-one

d.one-one and onto

12. Question

a.±2

b.±1

c.±3

d.±4

13. 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.4

b.3

c.1

d.2

14. Question

a.80 at (3, 2)

b.95 at (2, 3)

c.30 at (3, 0)

d.75 at (0, 3)

15. 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

16. 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.Reflexive, transitive but not symmetric

c.Equivalence

d.Transitive and symmetric

17.

Question

a.a bijection

b.a one-one function

c.neither one-one nor onto

d.an onto function

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

a.10

b.8

c.16

d.20

19. Question

a.non-symmetric

b.symmetric

c.equivalence

d.transitive

20. Question

a.16 sq. units

b.4 sq. units

c.3 sq. units

d.9 sq. units

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

a.6

b.2

c.8

d.4

22. 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.25

c.30

d.29

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

a.Many-one

b.One-one

c.None of these

d.Both (a) & (b)

24. 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.720

b.0

c.120

d.none of these

25. Question

a.reflexive only

b.Equivalence relation

c.Symmetric only

d.Transitive only

26. Question

a.3

b.5

c.6

d.1

27. Question

a.a

b.b

c.d

d.c

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

29. Question

a.None of these

b.g is not one-one on R

c.g is one-one on R

d.g is bijective on R

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

a.fourth quadrant

b.second quadrant

c.first quadrant

d.third quadrant

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

a.A is a scalar matrix

b.A is a square matrix

c.A is a zero matrix

d.A is a diagonal matrix

32. Question

a.c

b.b

c.a

d.d

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

a.36

b.none of these

c.35

d.34

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

a.5

b.3!

c.23

d.33

35. 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 transitive

c.symmetric and transitive

d.reflexive but not symmetric

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

a.a constant

b.none of these

c.a function to be optimized

d.a relation between the variables

37. Question

a.c

b.a

c.b

d.d

38. 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

39. 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.2

c.1

d.3

40. Question

a.2

b.0

c.3

d.1

41. Question

a.π

b.-1

c.1

d.0

42.

Question

a.a

b.b

c.d

d.c

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

a.5

b.3

c.1

d.2

44. Question

a.associative

b.commutative

c.None of these

d.Both (a) and (b)

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.neither injection nor surjection

c.injection but not surjection

d.a bijection

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

a.commutative

b.None of these

c.associative

d.Both (a) and (b)

47. Question

a.b

b.c

c.a

d.d

48. Question

a.3

b.None of these

c.1

d.7/2

49. Question

a.a

b.c

c.d

d.b

Also See :

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

CUET 2024 Maths Chapter 1 – Relations and Functions MCQ Question and Answers – MCQs for Practice

Maths Chapter 1 – Relations and Functions MCQ Question Answers for CUET 2024

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