CUET 2024 Maths Chapter 1 - Relations and Functions MCQs

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

1. Question

a.Commutative

b.Both (a) and (b)

c.Associative

d.None of these

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

a.a function to be optimized

b.a constant

c.none of these

d.a relation between the variables

Question

a.a

b.b

c.c

d.d

4. 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 into

b.one-one onto

c.None of these

d.many-one onto

5. Question

a.g is one-one on R

b.g is bijective on R

c.g is not one-one on R

d.None of these

6. 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.commutative

c.Both (a) and (b)

d.associative

7. 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.neither injection nor surjection

c.surjection but not injection

d.a bijection

8. Question

a.a

b.b

c.d

d.c

9. Question

a.many-one onto

b.many-one into

c.one-one onto

d.one-one into

10. 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

11.

Question

a.a one-one function

b.neither one-one nor onto

c.a bijection

d.an onto function

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

a.fourth quadrant

b.first quadrant

c.second quadrant

d.third quadrant

13. Question

a.3

b.5

c.1

d.6

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

a.None of these

b.Both (a) & (b)

c.Many-one

d.One-one

15. Question

a.c

b.b

c.a

d.d

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

a.23

b.33

c.3!

d.5

17. Question

a.symmetric

b.equivalence

c.transitive

d.non-symmetric

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

a.35

b.36

c.none of these

d.34

19. Question

a.±1

b.±4

c.±3

d.±2

20. 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.120

c.720

d.0

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

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

a.8

b.16

c.10

d.20

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

a.1

b.5

c.3

d.2

24. Question

a.3

b.1

c.2

d.0

25. 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

26. Question

a.d

b.b

c.a

d.c

27. Question

a.d

b.a

c.b

d.c

28. 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

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

a.8

b.6

c.4

d.2

30. Question

a.d

b.b

c.a

d.c

31. Question

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

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

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

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

32. 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 scalar matrix

d.A is a diagonal matrix

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

a.None one-one

b.Onto

c.None of these

d.Not onto

34.

Question

a.neither one-one nor onto

b.one-one and onto

c.one-one but not onto

d.onto but not one-one

35. 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.29

c.30

d.25

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

a.(7, 0)

b.(3, 0)

c.(1/2, 5/2)

d.(0, 5)

37. 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.Transitive and symmetric

b.Equivalence

c.Reflexive and symmetric

d.Reflexive, transitive but not symmetric

38. Question

a.16 sq. units

b.9 sq. units

c.4 sq. units

d.3 sq. units

39. 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.symmetric and transitive

c.reflexive but not transitive

d.neither symmetric, nor transitive

40. 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.3

d.2

41. Question

a.b

b.a

c.c

d.d

42. Question

a.reflexive only

b.Symmetric only

c.Equivalence relation

d.Transitive only

43. Question

a.80 at (3, 2)

b.30 at (3, 0)

c.75 at (0, 3)

d.95 at (2, 3)

44. Question

a.not commutative

b.commutative

c.not associative

d.both (a) and (b)

45. Question

a.π

b.0

c.1

d.-1

46. Question

a.1

b.7/2

c.3

d.None of these

47. Question

a.c

b.d

c.b

d.a

48. Question

a.None of these

b.Both (a) and (b)

c.commutative

d.associative

49. Question

a.-1

b.1

c.0

d.10

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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