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Is z an even integer?

This topic has 1 expert reply and 0 member replies

Is z an even integer?

Post Fri Sep 22, 2017 9:39 am
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    Is z an even integer?

    (1) z^2 is an even integer.

    (2) y*z is an even integer, where z and y are integers.

    The OA is C.

    How can I conclude with both statements that z is an even integer?

    Need free GMAT or MBA advice from an expert? Register for Beat The GMAT now and post your question in these forums!
    Post Sat Sep 23, 2017 10:35 am
    Hi Vincen,

    We're asked if Z is an EVEN INTEGER. This is a YES/NO question. We can solve it by TESTing VALUES.

    1) Z^2 is an EVEN integer.

    IF...
    Z^2 = 2, then Z = (root2) and the answer to the question is NO.
    Z^2 = 4, then Z = 2 and the answer to the question is YES.
    Fact 1 is INSUFFICIENT

    2) (Y)(Z) is an EVEN integer and Z and Y are INTEGERS

    IF...
    Y = 1 and Z = 2, then the answer to the question is YES.
    Y = 2 and Z = 1, then the answer to the question is NO.
    Fact 2 is INSUFFICIENT

    Combined, we know...
    Y and Z are INTEGERS
    Z^2 is an EVEN integer

    The ONLY way to square an INTEGER and end up with an EVEN integer is if you started with an EVEN integer. Fact 2 tells us that Z MUST be an integer, so Z MUST be even and the answer to the question is ALWAYS YES.
    Combined, SUFFICIENT

    Final Answer: C

    GMAT assassins aren't born, they're made,
    Rich

    _________________
    Contact Rich at Rich.C@empowergmat.com

    Thanked by: Vincen

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