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# Is n an integer? (1) 2n is an integer. (2) n/2 is an integer

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Joined: 01 Sep 2010
Posts: 3283
Is n an integer? (1) 2n is an integer. (2) n/2 is an integer  [#permalink]

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02 Nov 2018, 02:43
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1
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Difficulty:

15% (low)

Question Stats:

83% (00:38) correct 17% (00:32) wrong based on 24 sessions

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Is n an integer?

(1) 2n is an integer.

(2) $$\frac{n}{2}$$ is an integer

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Joined: 07 Dec 2017
Posts: 867
Re: Is n an integer? (1) 2n is an integer. (2) n/2 is an integer  [#permalink]

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02 Nov 2018, 03:13
1
carcass wrote:
Is n an integer?

(1) 2n is an integer.

(2) $$\frac{n}{2}$$ is an integer

With simple expressions, it is easy to look for simple examples.
This is an Alternative approach.

(1) Say 2n = 1. Then n = 1/2, not an integer. Say 2n = 0. Then n = 0, an integer.
Insufficient.

(2) Say n/2 = 1. Then n = 2, an integer. Similarly, for any integer k, if n/2 = k then n = 2k, an integer.
Sufficient

(B) is our answer.
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Re: Is n an integer? (1) 2n is an integer. (2) n/2 is an integer &nbs [#permalink] 02 Nov 2018, 03:13
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# Is n an integer? (1) 2n is an integer. (2) n/2 is an integer

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