Let P = QQQ be a 3-digit number (where all digits are Q). What is the HCF of P and 481?

Question

Let P = QQQ be a 3-digit number (where all digits are Q). What is the HCF of P and 481?

1. A. 1
2. B. 13
3. C. 37 (Correct answer)
4. D. 481

Correct Answer

Option C — 37

Detailed Solution & Explanation

The correct answer is 37.

Key Points

• P = QQQ = Q × 111 = Q × 3 × 37. 481 = 13 × 37. HCF(QQQ, 481) = HCF(Q×3×37, 13×37) = 37 (since Q is a single digit, not divisible by 13). Answer: 37.