Question

Let \(R\) be a relation defined on the set \(Z\) of all integers and \(x R y\) when \(x+2 y\) is divisible by 3 . Then
(A) \(\mathrm{R}\) is not transitive
(B) \(\mathrm{R}\) is symmetric only
(C) \(\mathrm{R}\) is an equivalence relation
(D) \(\mathrm{R}\) is not an equivalence relation

Answer 1

Correct answer is (D)

Answer 2

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