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is w-y>0?

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Source: — Data Sufficiency |

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by Anurag@Gurome » Wed Dec 07, 2011 3:59 am
jainrahul1985 wrote:If w+x<0, is w-y>0?

1) x+y<0
2) y<x<w

(1) If x = 1, y = -2, w = -2 then x + y = x + w = 1 - 2 = -1 < 0. Here w - y = -2 + 2 = 0.
If x = -1, y = -3, w = -2 then x + y = -1 - 3 = -4 < 0. Here w + x = -2 - 1 = -3 < 0 and w - y = -2 + 3 = 1 > 0.
It can be seen that we don't get a definite answer.
So, (1) is NOT SUFFICIENT.

(2) Since y < w, so w - y will always be greater than 0. See the example below.
If y = -3, x = -2, w = -1, then w - y = -1 + 3 = 2 > 0
So, (2) is SUFFICIENT.

The correct answer is B.
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by GMATGuruNY » Wed Dec 07, 2011 5:49 am
jainrahul1985 wrote:If w+x<0, is w-y>0?

1) x+y<0
2) y<x<w
I received a PM, so here's another approach.

Question stem rephrased: Is w>y?

Statement 1: x+y < 0
Statement 1, rephrased: y < -x.
w+x<0, rephrased: w < -x.
We know that w and y are both less than than the same value (-x), but we cannot determine whether w>y.
INSUFFICIENT.

Statement 2: y<x<w
Thus, y<w.
SUFFICIENT.

The correct answer is B.
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