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UPSC PYQPrelims 2025

Civil Services Examination · Question 47

Let P = QQQ be a 3-digit number. What is the HCF of P and 481?

  1. 1
  2. 13
  3. 37
  4. 481
Show answer & explanation

Answer: (C) 37

Explanation

QQQ = 111 × Q = 3 × 37 × Q and 481 = 13 × 37. Since Q is a single digit (not 13), the HCF is 37. (Answer as per the official UPSC answer key.)