If n is an integer, then n is divisible by how many positive integers?
(1) n is the product of two different prime numbers.
(2) n and 23 are each divisible by the same number of positive integers.
(1) Suppose n = pq, where p and q are different primes. As neither prime have any nontrivial factors, the factors of n are 1, p, q, and pq = n. So there are four positive integers that are factors of n.
(2) 23 is a prime number, so it has exactly two factors. That means n also has 2 factors.
Therefore, D is the correct answer.
One thing unusual about this question: The answers obtained by (1) and (2) are not the same. Normally for the GMAT, the answers are the same. I wonder whether there is a typographical error in (2).