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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
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24 Jul 2017
Posted:
83 messages

Is rw = 0?

Post Mon Jul 24, 2017 9:30 am
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 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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GMAT/MBA Expert

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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