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

1. 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.
b.
c.
d.

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

3. Question a.
b.
c.
d.

4. Let R be the relation “is congruent to” on the set of all triangles in a plane is
a.
b.
c.
d.

5. The function f : R → R defined by f(x) = 3 – 4x is
a.
b.
c.
d.

6. Objective function of a L.P.P.is
a.
b.
c.
d.

7. The maximum number of equivalence relations on the set A = {1, 2, 3} are
a.
b.
c.
d.

8. Question a.
b.
c.
d.

9. 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.
b.
c.
d.

10. Question a.
b.
c.
d.

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

12. Question a.
b.
c.
d.

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

14. Question a.
b.
c.
d.

15. Question a.
b.
c.
d.

16.

Question a.
b.
c.
d.

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

18. 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.
b.
c.
d.

19. Question a.
b.
c.
d.

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

21. Question a.
b.
c.
d.

22. Question a.
b.
c.
d.

23. Question a.
b.
c.
d.

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

25.

Question a.
b.
c.
d.

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