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UPSC PYQPrelims 2025

Civil Services Examination · Question 35

What is the maximum value of n such that 7 × 343 × 385 × 1000 × 2401 × 77777 is divisible by 35^n?

  1. 3
  2. 4
  3. 5
  4. 7
Show answer & explanation

Answer: (B) 4

Explanation

35 = 5 × 7. Powers of 5: 385 gives 1 and 1000 gives 3, total 4. Powers of 7 are far more (10). So n = 4. (Answer as per the official UPSC answer key.)