General Knowledge Questions

1. The number of all one-one functions from set A = {1, 2, 3} to itself is

(a) 2 (b) 6 (c) 3 (d) 1

Ans b

2. A relation R from A to B is an arbitrary subset of

(a) A × B (b) B × A (c) A × A (d) B × B

Ans b

3. A relation R in a set A is said to be an equivalence relation, if R is

(a) symmetric only (b) reflexive only

(c) transitive only (d) All of these

Ans d

4. A₁ coincides with the set of all integers in Z which are related to ...A..., A₂ coincides with the set of all integers which are related to ...B... and A₃ coincides with the set of all integers in Z which are related to ...C... . Here, A, B and C are respectively

(a) one, zero, two (b) zero, one, two

(c) two, one, zero (d) one, two, zero

Ans b

5. If (a, b) ÎR, where R is a relation, then (a) (a, b) is not an ordered pair (b) a = b only (c) ab = 1 only (d) a is related to b under the relation R

 

Ans d