## Maths Chapter 1 – Relations and Functions MCQ Question Answers for Various Entrance Exams

1. Question a.
b.
c.
d.

2. Question a.
b.
c.
d.

3. Question a.
b.
c.
d.

4. The smallest integer function f(x) = [x] is
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b.
c.
d.

5. Question a.
b.
c.
d.

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

7.

Question a.
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c.
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8. Question a.
b.
c.
d.

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

10. 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.

11. Question a.
b.
c.
d.

12. 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.
b.
c.
d.

13. Number of binary operations on the set {a, b} are
a.
b.
c.
d.

14. 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.
b.
c.
d.

15. Question a.
b.
c.
d.

16. 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.
b.
c.
d.

17. Question a.
b.
c.
d.

18.

Question a.
b.
c.
d.

19. Question a.
b.
c.
d.

20. Question a.
b.
c.
d.

21. Question a.
b.
c.
d.

22. Question a.
b.
c.
d.

23. 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.

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

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

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