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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
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    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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