Is rw = 0?

[BTGModeratorVI]

Is rw = 0?

(1) −6 < r < 5
(2) 6 < w < 10


Answer: E
Source: Official guide

[Brent@GMATPrepNow]

Is rw = 0?

(1) −6 < r < 5
(2) 6 < w < 10


Answer: E
Source: Official guide

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

[Scott@TargetTestPrep]

Is rw = 0?

(1) −6 < r < 5
(2) 6 < w < 10


Answer: E
Source: Official guide

Solution:

Question Stem Analysis:

We need to determine whether rw is 0.

Statement One Alone:

Since we don’t know anything about the value of w, we can’t determine whether rw is 0. Statement one alone is not sufficient.

Statement Two Alone:

Since we don’t know anything about the value of r, we can’t determine whether rw is 0. Statement two alone is not sufficient.

Statements One and Two Together:

With the two statements, we still don’t have enough information to determine whether rw is 0. For example, if r = 0 and w = 7, then rw = 0. However, if r = 1 and w = 7, then rw ≠ 0. Both statements together are still not sufficient.

Answer: E