Solution:
Question Stem Analysis:
We need to determine the value of p, given that pq = 24 and both p and q are positive integers. We see that p (and q) are factors of 24. Therefore, p (and q) can be one of the following integers:
1, 2, 3, 4, 6, 8, 12, and 24
Statement One Alone:
Since q/6 is an integer, q is 6, 12, or 24, and p will then be 4, 2, or 1, respectively. Since p can take on more than one value, statement one alone is not sufficient.
Statement Two Alone:
Since p/2 is an integer, p is 2, 4, 6, 8, 12, or 24. Since p can take on more than one value, statement two alone is not sufficient.
Statements One and Two Together:
From the two statements, we see that p can still be either 2 or 4. Since p can take on more than one value, both statements are not sufficient.
Answer: E
