Question

The cube of an $\text{odd}$ natural number is always __________.

• A. $\text{Even}$
• B. $\text{Odd}$
• C. $\text{Even or odd}$
• D. $\text{Can't say}$

Answer 1

Answer: (B)

$\text{Odd}$

The cube of a natural odd number is always odd.

For natural numbers, we know,

$\text{odd}\times \text{odd}=\text{odd}$

$\text{odd}\times \text{even}=\text{even}$

$\text{even}\times \text{even}=\text{even}$.

So, cube of a natural odd number is

$\text{odd}\times \text{odd}\times \text{odd}$

$=\text{odd}\times \text{odd}$

$=\text{odd}$.

Eg.: Cube of an odd number $3$ is $27$, which is also odd.

Hence, option $B$ is correct.