GMAT PRep DS 3

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Source: — Data Sufficiency |

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by Rahul@gurome » Thu Jan 20, 2011 2:53 am
adwaitkasbekar wrote:Is |x| = y - z?

1) x + y = z
2) x < 0
Statement 1: (x + y) = z
Implies, x = z - y
Now, if x ≥ 0, |x| = x = (z - y)
But, if x < 0, |x| = -x = -(z - y) = (y - z)

Not sufficient

Statement 2: x < 0
No information about y and z

Not sufficient

1 & 2 Together: As x < 0, |x| = -x = -(z - y) = (y - z)

Sufficient

The correct answer is C.
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