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Is rw = 0?

This topic has 2 expert replies and 0 member replies
jjjinapinch Senior | Next Rank: 100 Posts Default Avatar
Joined
24 Jul 2017
Posted:
83 messages

Is rw = 0?

Post Mon Jul 24, 2017 9:30 am
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    Is rw = 0?
    (1) -6 < r < 5
    (2) 6 < w < 10

    Official Guide question
    Answer: E

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    Post Mon Jul 24, 2017 10:20 am
    jjjinapinch wrote:
    Is rw = 0?
    (1) -6 < r < 5
    (2) 6 < w < 10

    Official Guide question
    Answer: E
    Target question: Is rw = 0?
    Since each statement ALONE fails to provide information about both variables, let's jump straight to....

    Statements 1 and 2 combined
    There are several values of r and w that BOTH statements. Here are two:
    Case a: r = 0 and w = 7, in which case rw = (0)(7) = 0
    Case b: r = 1 and w = 7, in which case rw = (1)(7) = 7
    Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT

    Answer: E

    Cheers,
    Brent

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    Post Mon Jul 24, 2017 8:49 pm
    jjjinapinch wrote:
    Is rw = 0?
    (1) -6 < r < 5
    (2) 6 < w < 10

    Official Guide question
    Answer: E
    We have to see whether rw = 0?

    rw = 0 if at least of the two variables r and w is 0, else not.

    Statement 1: -6 < r < 5

    From this inequality, we get that r may or may not be 0.

    If r = 0, rw = 0, the answer is YES.
    However, if r ≠ 0, then we do not have any information about w. If w ≠ 0, then rw ≠ 0, thus, the answer is No. Insufficient.

    Statement 2: 6 < w < 10

    From this inequality, we get that w ≠ 0. But we do not know about r. It may or may not be 0. Insufficnet.

    Statement 1 & 2:

    Even after combining the two statements, we cannot get the unique answer as r may or may not be 0, making rw may or may not be 0. Insufficient.

    The correct answer: E

    Hope this helps!

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