amitdgr wrote:

If \(x\) is an integer, is \(x\) a prime number?

1. \(x\) is a multiple of a prime number

2. \(x\) is a product of two integers

if x is a multiple of a prime number, doesn't it mean that x is NOT prime. isn't the first statement alone sufficient ? Am I missing something ??

A prime number is a multiple of itself. That is the reason, stmt1 cannot be sufficient.

From stmt1, x can be 2,3, 4,5, 6,7,8,9,10,11.......and hence not sufficient as x can be a prime or a non-prime.

From stmt2, again x can be anything (e.g. 2 = 2*1, 3 = 3*1, and so on).

Hence, to me, the answer should be E.

FROM 1: X can be any integer > 1.

FROM 2: X can be any integer.

neither each alone nor togather is sufficient to answer.

Verbal: http://gmatclub.com/forum/new-to-the-verbal-forum-please-read-this-first-77546.html

Math: http://gmatclub.com/forum/new-to-the-math-forum-please-read-this-first-77764.html

Gmat: http://gmatclub.com/forum/everything-you-need-to-prepare-for-the-gmat-revised-77983.html

GT