JEE Main Mathematics question

Mathematics Function JEE Main

A mapping , where is the set of natural numbers, is defined as for . Then, is

(A)Surjective but not injective
(B)Injective but not surjective
(C)Bijective
(D)Neither injective nor surjectiveCorrect

Answer: (D)

Solution

For odd , is odd (square of an odd number). For even , is also odd. So every image is odd, and even numbers such as 2 are never

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Question ID VK-007358