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GMAT Data Sufficiency (DS) | Re: If a and n are integers and n > 1, is n odd?

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Good question +1. We are asked if n is odd given that 'a' and 'n' are integers.

From statement 1 we have that 'n' must be odd so that if 'a' is negative then negative ^ even is positive > negative^ odd. Therefore sufficient.

Statement 2 tells s that n must be odd otherwise if n is even then both numbers will have even exponent and there's no way that a^even> a^3even.

Therefore D is the correct answer choice

Hope it clarifies
Cheers!
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