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Is the positive integer n odd?

This topic has 1 expert reply and 0 member replies

Is the positive integer n odd?

Post Mon Sep 18, 2017 4:58 am
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    Is the positive integer n odd?

    (1) n= 2k+1, where K is positive integer
    (2) 2n+1 is an odd integer

    OA: B

    I confused why the answer is B instead of D?

    Need free GMAT or MBA advice from an expert? Register for Beat The GMAT now and post your question in these forums!
    Post Mon Sep 18, 2017 5:35 am
    ardz24 wrote:
    Is the positive integer n odd?

    (1) n= 2k+1, where K is positive integer
    (2) 2n+1 is an odd integer

    OA: B

    I confused why the answer is B instead of D?
    What's the source of this question?
    I ask because the correct answer to this question is neither B nor D.
    The correct answer is A

    (1) If n= 2k+1 (where k is positive integer) then n is definitely odd. In fact, this is the actual definition of an odd integer.

    (2) If n = 4, then 2n + 1 = (2)(4) + 1 = 9 (and odd number). In this case, n is EVEN
    If n = 3, then 2n + 1 = (2)(3) + 1 = 7 (and odd number). In this case, n is ODD
    So, statement 2 is NOT sufficient.

    Answer: A

    Cheers,
    Brent

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