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Is rw = 0?

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Director
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Is rw = 0?  [#permalink]

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New post Updated on: 19 Sep 2015, 14:51
2
6
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

93% (00:40) correct 7% (00:46) wrong based on 987 sessions

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Is rw = 0?

(1) −6 < r < 5
(2) 6 < w < 10

Source: [OG 2016]

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Originally posted by BrainLab on 19 Sep 2015, 13:08.
Last edited by ENGRTOMBA2018 on 19 Sep 2015, 14:51, edited 1 time in total.
Edited the question and renamed the topic
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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
1
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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Re: Is rw = 0?  [#permalink]

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New post 10 Jan 2018, 09:05
Top Contributor
BrainLab wrote:
Is rw = 0?

(1) −6 < r < 5
(2) 6 < w < 10


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

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Brent
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Re: Is rw = 0? &nbs [#permalink] 10 Jan 2018, 09:05
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