Hi All,

This DS question can be solved with a mix of Number Properties and TESTing VALUES.

We're told that N is NOT equal to 0. We're asked if |N| < 4. This is a YES/NO question.

Fact 1: N^2 > 16

Since we're dealing with a squared term, we have to consider both positive and negative possibilities.

N^2 > 16 means that....

N can be greater than 4

and

N can be less than -4

So, N could be 4.1, 4.7, 5, 6, 7, etc. Each of these values would gives us a NO answer.

N could also be -4.1, -4.2, -5, -6, -8, etc. Each of these values would also gives us a NO answer.

Given the restrictions in Fact 1, the answer to the question is ALWAYS NO.

Fact 1 is SUFFICIENT

Fact 2: 1/|N| > N

Since |N| will always be positive in this question (since N CANNOT be 0), we know that ANY negative value for N will fit Fact 2...

IF....

N = -1

1/|-1| > -1

|-1| IS < 4 and the answer to the question is YES.

IF....

N = -5

1/|-5| > -5

|-5| is NOT < 4 and the answer to the question is NO.

Fact 2 is INSUFFICIENT

Final Answer:

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

Rich

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