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Is rw = 0?

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Is rw = 0? [#permalink]

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New post 19 Sep 2015, 13:08
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Is rw = 0?

(1) −6 < r < 5
(2) 6 < w < 10

Source: [OG 2016]
[Reveal] Spoiler: OA

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Last edited by ENGRTOMBA2018 on 19 Sep 2015, 14:51, edited 1 time in total.
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Re: Is rw = 0? [#permalink]

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New post 19 Sep 2015, 14:56
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BrainLab wrote:
Is rw = 0?

(1) −6 < r < 5
(2) 6 < w < 10

Source: [OG 2016]


Is rw=0---> will be true if 1 of the r=0 or w=0 or r=w=0 is true.

Per statement 1, -6<r<5, you will get a "yes" with r=0 for all values of 'w' but a "no" with r=-4 and w=10. Thus not sufficient.

Per statement 2, 6<w<10, you will get a "yes" with r=0 for all values of 'w' but a "no" with r=-4 and w=8. Thus not sufficient.

Combining, -6<r<5 and 6<w<10, you get a "yes" if r=0 and w=7 but get a "no" for r=-4 and w=8. Thus still the statements are not sufficient.

E is thus the correct answer.

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Is rw = 0? [#permalink]

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New post 13 Oct 2017, 14:48
Statement 1 is telling us that r could be positive or negative (i.e. r could be -4 or 3) so we do not know what r equals
This is insufficient AND we do not know what w equals.

Statement 2 is telling us that w is a positive number between 6 and 10 (but w can't be 6 or 10!) so we do not know what w equals.
This is insufficient AND we do not know what r equals

Combining both statements still gives insufficient information so the answer is E. Since we are given only inequalities for r and w, then we cannot solve the equation. You could also think of it as: combining both statements we cannot definitively say what r and/or w equals so we cannot solve rw.

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Is rw = 0?   [#permalink] 13 Oct 2017, 14:48
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