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

2. If a relation R on the set {1, 2, 3} be defined by R = {(1, 2)}, then R is

3. Let us define a relation R in R as aRb if a ≥ b. Then R is

4. 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

5. The identity element for the binary operation * defined on Q ~ {0} as

6. If the 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

7. Let A = {1, 2,3,…. n} and B = { a, b}. Then the number of surjections from A into B is

8. Let f : R → R be defined by f (x) = \(\frac{1}{x}\) ∀ x ∈ R. Then f is

9. Which of the following functions from Z into Z are bijective?

10. Let f: R → R be the function defined by f(x) = x³ + 5. Then f