Data Sufficiency

sukh wrote:If the value of p is one of the numbers 2 and 3 then is pq not=6 ?
1. If p equals 2 , then q equals 3
2. If q equals 3 , then p equals 2

The question doesn't really make sense (the 'if' clauses in each statement are something you would never see on the GMAT), but regardless the answer certainly is not C.

From Statement 1, we know that if p=2, the answer to the question is 'no. But we don't know that p equals 2 at all; perhaps p=3 and q=50 the answer is 'yes'.

From Statement 2, we know that if q=3, the answer to the question is 'no'. But we don't know that q equals 3 at all; perhaps q=200 and p=3 and the answer is 'yes'.

Even combining the two Statements, it is possible that p=2 and q=3, or that p=3 and q=100, just to give two scenarios among many possibilities, so we can get a yes or no answer to the question and the answer is E.

If Statement 2 were changed to read "If p equals 3 , then q equals 2" then the two statements combined would become sufficient to give a 'no' answer here, but as written, the answer is certainly not C. Regardless, you'll never see a similar question on the GMAT so it isn't important to study this question.