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If x, y, and z are integers, what is the remainder . . .

This topic has 1 expert reply and 0 member replies

If x, y, and z are integers, what is the remainder . . .

Post Thu Sep 14, 2017 2:35 pm
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    If x, y, and z are integers, what is the remainder when xyz is divided by 2?

    (1) 6xy is even.
    (2) 9zx is even.

    B is the OA?

    Why is B the correct choice? Can any expert help me here?

    Need free GMAT or MBA advice from an expert? Register for Beat The GMAT now and post your question in these forums!
    Post Thu Sep 14, 2017 6:34 pm
    Vincen wrote:
    If x, y, and z are integers, what is the remainder when xyz is divided by 2?

    (1) 6xy is even.
    (2) 9zx is even.
    Statement 1:
    Let x=1 and y = 1, with the result that 6xy = 6*1*1 = 6.
    Case 1: z=2
    In this case, (xyz)/2 = (1*1*2)/2 = 1 R0.
    Case 2: z=3
    In this case, (xyz)/2 = (1*1*3)/2 = 1 R1.
    Since the remainder can be different values, INSUFFICIENT.

    Statement 2:
    9zx will be even only if zx is even.
    Implication:
    xyz = (y)(zx) = (y)(even) = even.
    Since xyz is even, dividing xyz by 2 will yield a remainder of 0.
    SUFFICIENT.

    The correct answer is B.

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    Thanked by: Vincen
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