Hi rommysingh,
This question is based around a couple of different patterns (some obvious, some not). You can TEST VALUES to answer the question...
We're told that N cannot be 0. We're asked if |N| < 4. This is a YES/NO question.
Fact 1: N^2 > 16
You probably recognize that this means that N > 4 or N < -4. This Fact gives us a consistent result; here's the proof:
IF...
N = 5, then the answer to the question is NO.
IF....
N = -5, then the answer to the question is NO.
No matter what value you use for N, under these 'restrictions', the answer to the question is ALWAYS NO.
Fact 1 is SUFFICIENT
Fact 2: 1/|N| > N
You can approach this Fact in a couple of different ways: with Algebra and Number Properties or by TESTing VALUES. Notice how the 'left side' of the inequality will ALWAYS be POSITIVE.....
IF...
N = -2, then 1/|-2| is > -2 and the answer to the question is YES.
IF...
N = -5, then 1/|-5| is > -5 and the answer to the question is NO.
Fact 2 is INSUFFICIENT
Final Answer: A
GMAT assassins aren't born, they're made,
Rich
