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If A is a non empty set, then R ⊂ A × A is said to be a relation on A. A relation R on 'A' is said to be
(i) Reflexive if aRa, i.e. (a, a) ∈ R ≠a ∈ A.
(ii) Symmetric if aRb then bRa i.e. if (a, b) ∈ R then (b, a) ∈ R and (b, c) ∈ R then (a, c) ∈ R. ≠a, b, c ∈ A.
(iii) Transitive if aRb and bRc then aRc i.e. if (a, b) ∈ R and (b, c) ∈ R then (a, c) ∈ R. ≠a, b, c ∈ A.

Relation R on A is an equivalence relation if R is reflexive, symmetric and transitive. Now answer the question.

I. The relation = (equals to) on the set of all integers Z is
(a) reflexive and symmetrici but not transitive
(b) equivalence relation
(c) reflexive but not symmetric
(d) symmetric but not transitive

II. On the set of all integrs Z, the relation '>' (greater than) is
a) transitive b) equivalence relation c) reflexive d) symmetric

III. On the set of all integers Z, the relation '<' (less than) is
(a) symmetric but not tronsitive
B) transitive
(c) reflexive but not symmetric
(d) symmetric but not reflexive