On the set of integers Z, define f:Z Z as f(n)= cases n 2 , & n is even 0, & n is odd cases , then f is

JEE Main Mathematics question

On the set of integers , define as , then is

Answer: (C)

Injective? (odd) and (odd), so two different inputs share an image — not injective. Surjective? Take any ;

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Question ID VK-007367