Hi All,

This DS question can be solved by TESTing VALUES. You'll have to be thorough with your thinking though (the absolute value signs *hint* that you'll need to consider 0 and negative values as part of your work).

We're asked if |X-Z| > |X-Y|. This is a YES/NO question.

Fact 1: |Z| >|Y|

Since there's no mention of X, you might instinctively think that this is insufficient, but here's the PROOF:

IF...

X = 1

Y = 0

Z = 1

|1-1| is NOT > |1-0| so the answer to the question is NO.

IF...

X = -1

Y = 0

Z = 1

|-1-1| IS > |-1-0| so the answer to the question is YES.

Fact 2: 0 > X

This Fact doesn't mention Y or Z, so you might also instinctively think that this is insufficient, but here's the PROOF:

IF...

X = -1

Y = 0

Z = 1

|-1-1| IS > |-1-0| so the answer to the question is YES.

IF...

X = -1

Y = 0

Z = -2

Then |-1-(-2)| is NOT > |-1-0| so the answer to the question is NO.

Fact 2 is INSUFFICIENT.

Combined, we know...

|Z| > |Y|

0 > X

Thankfully, we already have all of the proof that we need (in the above examples)...

IF...

X = -1

Y = 0

Z = 1

|-1-1| IS > |-1-0| so the answer to the question is YES.

IF...

X = -1

Y = 0

Z = -2

Then |-1-(-2)| is NOT > |-1-0| so the answer to the question is NO.

Combined, INSUFFICIENT.

Final Answer:

GMAT assassins aren't born, they're made,

Rich

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