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If k is an integer, is k even? (1) k > 1 (2) k^2 is an even integer

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Re: If k is an integer, is k even? (1) k > 1 (2) k^2 is an even integer [#permalink]
Bunuel wrote:
If k is an integer, is k even?

(1) k > 1
(2) k^2 is an even integer.

k is an integer, and we need to answer the question:

Is k even?

Statement One Alone:

=> k > 1

If k = 3, then k is odd. Whereas, if k = 2, then k is even.

Statement one is not sufficient. Eliminate answer choices A and D.

Statement Two Alone:

=> k^2 is an even integer.

If k were odd, then k^2 would be odd. Therefore, k must be even.

Statement two is sufficient.