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UPSC PYQPrelims 2025

Civil Services Examination · Question 66

In a certain code if 64 is written as 343 and 216 is written as 729, then how is 512 written in that code?

  1. 1000
  2. 1331
  3. 1728
  4. 2197
Show answer & explanation

Answer: (B) 1331

Explanation

64 = 4³ becomes 7³ and 216 = 6³ becomes 9³ (base + 3). 512 = 8³ becomes 11³ = 1331. (Answer as per the official UPSC answer key.)