Is integer p divisible by 6?
A
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D
Statements (1) and (2) TOGETHER are NOT sufficient.
✓ Correct Answer: Option C
To be divisible by 6, p must be divisible by both 2 and 3. (1) states p is divisible by 3 (sufficient for 3). (2) states p is divisible by 4, which means p is divisible by 2 (sufficient for 2). Together, p is divisible by both 2 and 3, hence by 6.
💡 Why is C) the correct answer?
The correct answer to the question "Is integer p divisible by 6?" is Option C: BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient..
The other options — A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient., B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient., D) Statements (1) and (2) TOGETHER are NOT sufficient. — are incorrect for this GMAT Exam Prep question. As explained above: To be divisible by 6, p must be divisible by both 2 and 3. (1) states p is divisible by 3 (sufficient for 3). (2) states p is divisible by 4, which means p is divisible by 2 (sufficient for 2). Toget…
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