What is the remainder when positive integer N is divided by 6?

The correct answer to the question "What is the remainder when positive integer N is divided 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) Each statement alone is sufficient. — are incorrect for this GMAT Exam Prep question. As explained above: From (1), N = 3k+2 (e.g., 2, 5, 8, 11...). Remainders when divided by 6 could be 2 or 5. Insufficient. From (2), N = 4j+3 (e.g., 3, 7, 11, 15...). Remainders when divided by 6 could be 1, 3, or 5. In…