BTGmoderatorLU wrote: ↑Sat Nov 17, 2018 1:56 pm
Source: GMAT Paper Tests
Can the positive integer p be expressed as the product of two integers, each of which is greater than 1?
1) 31 < p < 37
2) p is odd.
The OA is
A.
Solution:
Question Stem Analysis:
We need to determine whether integer p can be expressed as the product of two integers, each of which is greater than 1. That is, we need to determine whether p is a composite number.
Statement One Alone:
We see that p can be 32, 33, 34, 35, or 36. Since each one of these numbers is a composite number, statement one alone is sufficient.
Statement Two Alone:
Statement two alone is not sufficient. For example, if p = 15, then p can be expressed as the product of two integers, each of which is greater than 1 (notice that 15 = 3 x 5). However,if p = 17, then p can’t be expressed as the product of two integers, each of which is greater than 1 (notice that 17 is a prime).
Answer: A
