Official Explanation

Answer: A - Statement (1) is sufficient. If n/2 is an odd integer, we can find n by multiplying both sides by 2. n is 2 times an odd integer, which is always an even. If n is an even, then n^2 is an even -- an even times an even is always an even.

Statement (2) is not sufficient. Note that "not an even integer" does not mean "an odd integer." It could also refer to any non-integer, such as 4.5. If n = 3, then n^2 = 9 and n^2/2 = 4.5, which is not an even integer. In that case, the answer is "no." However, if n^2 = 2, then n^2/2 = 1, which is not an even integer. But in this case, n^2 is even, so the answer is "yes." Choice (A) is correct.

_________________

Got Kudos? Tis better to give than receive | ANALYSIS OF MOST DIFFICULT QUESTION TYPES

Need motivation? check out this video or this one | "We are what we repeatedly do. Excellence, then, is not an act, but a habit." - Aristotle

100 HARDEST CR QUESTIONS | 100 HARDEST SC QUESTIONS | 100 HARDEST PS QUESTIONS| 25 HARDEST QUESTIONS | 225 RC PASSAGES W/ TIMER!!!

PS QUESTION DIRECTORY|DS QUESTION DIRECTORY | SC QUESTION DIRECTORY | CR QUESTION DIRECTORY | RC QUESTION DIRECTORY

BEST OVERALL QUANT BOOK FOR THE MONEY | MAXIMIZE YOUR STUDY TIME