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If x is greater than 7, is y less than x?

This topic has 1 expert reply and 0 member replies

If x is greater than 7, is y less than x?

Post Fri Nov 03, 2017 6:17 am
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    If x is greater than 7, is y less than x?

    (1) y^2> 49
    (2) x^2 - y^2 > 0

    How will i know the whether the statement is sufficient?

    OA B

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    Post Thu Nov 09, 2017 9:56 pm
    lheiannie07 wrote:
    If x is greater than 7, is y less than x?

    (1) y^2> 49
    (2) x^2 - y^2 > 0

    How will i know the whether the statement is sufficient?

    OA B
    (1) y^2 > 49

    Case 1: Say y = 9, and x = 8, then the answer is No.
    Case 2: Say y = -9, and x = 8, then the answer is Yes. Insufficient.

    (2) x^2 - y^2 > 0

    => x^2 > y^2

    Case 1: If x = 8, and x = 7, then the answer is Yes.
    Case 2: We cannot assume a negative value for x such that its magnitude is greater than that of y since x is a positive number. Thus, x > y. The answer is Yes. Sufficient.

    The correct answer: B

    Hope this helps!

    -Jay
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    Manhattan Review GMAT Prep

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    Thanked by: lheiannie07

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