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

✓ Correct Answer: Option C

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. Insufficient. Combining (1) and (2), N must satisfy both conditions. Common numbers include 11, 23, 35... All these numbers have a remainder of 5 when divided by 6. Sufficient.