QUESTION

CSAT

Medium

Reasoning

Prelims 2025

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

Select an option to attempt

Explanation

Recognize the numbers as cubes: $64 = 4^3$ → coded as $343 = 7^3$ $216 = 6^3$ → coded as $729 = 9^3$

Each base is increased by 3 before cubing: $4$ → $7$ ( $4+3$ ), $6$ → $9$ ( $6+3$ )

Apply same rule to 512: $512 = 8^3$ → $(8+3)^3 = 11^3 = 1331$

Therefore code for 512 is 1331.

Trusted by 2L aspirants

Practice UPSC Prelims PYQs Smarter

An AI-powered ecosystem to learn, practice, and evaluate with discipline

Download App