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If n is an integer, which

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boomgoesthegmat Senior | Next Rank: 100 Posts Default Avatar
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If n is an integer, which

Post Tue May 03, 2016 2:53 pm
If n is an integer, which of the following must be even?

A) n + 1
B) n + 2
C) 2n
D) 2n + 1
E) n^2

OA: C

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Post Tue May 03, 2016 3:54 pm
boomgoesthegmat wrote:
If n is an integer, which of the following must be even?

A) n + 1
B) n + 2
C) 2n
D) 2n + 1
E) n^2

The definition of an even number is that it can be written as the product of 2 and some integer.
So the correct answer is C

Alternatively, we can show that A, B, D and E need not be even numbers.

A) If n = 2, then n+1 is NOT even. ELIMINATE.
B) If n = 1, then n+2 is NOT even. ELIMINATE.
C) If n = 1, then 2n+1 is NOT even. ELIMINATE.
D) If n = 1, then n^2 is NOT even. ELIMINATE.

Cheers,
Brent

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Thanked by: boomgoesthegmat, Joy Shaha
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