Question

Cube of any positive integer is of the form $9m$, $9m+1$ or $9m+8$, where $m$ is a non-negative integer.

• A. True
• B. False
• C. Neither
• D. Either

Answer 1

The correct option is A True

Let us start with the smallest cube number, i.e. $8=9\ast 0+8(9m+8form)$

Let us take the next cube number, i.e. $27=9\ast 3\left(9mform\right)$

Let us take the next cube number, i.e. $64=9\ast 7+1(9m+1form)$

Thus, cube of any positive integer is in the form of $9m,9m+1or9m+8$