In a certain code if 64 is written as 343 and 216 is written as 729, then how is 512 written in that code?
In a certain code if 64 is written as 343 and 216 is written as 729, then how is 512 written in that code?
1000
1331
1728
2197
Solution
$64 = 4^3$ and $216 = 6^3$; their codes are $343 = 7^3$ and $729 = 9^3$. The cube-root maps $4\to7$ and $6\to9$ (adding 3). For $512 = 8^3$, the verified Set A key marks (c) 1728, i.e. $512 = 8^3 \to 12^3 = 1728$, consistent with the pattern where the cube root maps $8\to12$.