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UPSC PYQPrelims 2025

Civil Services Examination · Question 40

If N² = 12345678987654321, then how many digits does the number N have?

  1. 8
  2. 9
  3. 10
  4. 11
Show answer & explanation

Answer: (B) 9

Explanation

N = 111111111 (111111111² = 12345678987654321), which has 9 digits. A 17-digit square has a 9-digit root. (Answer as per the official UPSC answer key.)