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is x/3 < x ?

This topic has 2 expert replies and 0 member replies

is x/3 < x ?

Post Sat Nov 04, 2017 6:53 am
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    $$Is\ \ \frac{x}{3}
    $$\left(1\right)\ \ x<\ 0$$

    $$(2)\ \ x\ \ does\ \ not\ \ equal\ -1.$$

    The OA is A.

    I need help to solve this DS question. Please, can any expert explain it for me? Thanks.

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    Post Sun Nov 05, 2017 8:48 am
    LUANDATO wrote:
    $$Is\ \ \frac{x}{3}
    $$\left(1\right)\ \ x<\ 0$$

    $$(2)\ \ x\ \ does\ \ not\ \ equal\ -1.$$

    The OA is A.

    I need help to solve this DS question. Please, can any expert explain it for me? Thanks.
    A rephrase is helpful here.

    Start by multiplying both sides of the inequality in question by 3. " Is x/3 < x?", becomes
    Is x < 3x?
    Subtract 'x' from both sides
    Is 0 < 2x?
    Divide both sides by 2
    Is 0 < x?

    Statement 1: Well if x < 0, we know it's not greater than 0, so this statement alone is sufficient.

    Statement 2: Clearly not sufficient. x could be -10 or 10, etc.

    The answer is A

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    Post Thu Nov 09, 2017 11:44 am
    Hi LUANDATO,

    We're asked if X/3 is less than X. This is a YES/NO question and we can solve it with a mix of Number Property Rules and by TESTing VALUES.

    1) X < 0

    Fact 1 tells us that X is NEGATIVE. When dividing a negative number by 3, the result is ALWAYS CLOSER to 0 than X is. For example:
    IF...
    X = -3, then (-3)/3 = -1 and -1 is closer to zero than -3 is... so the answer to the question is NO.
    This pattern exists with ANY negative number, so the answer to the question is ALWAYS NO.
    Fact 1 is SUFFICIENT

    2) X does NOT equal -1

    IF...
    X = -3, then (-3)/3 = -1 and -1 is closer to 0 than -3 is... so the answer to the question is NO.
    X = 3, then 3/3 = 1... so the answer to the question is YES.
    Fact 2 is INSUFFICIENT

    Final Answer: A

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

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