Question

Cube of all odd natural numbers are odd.

• A. True
• B. False
• C. Ambiguous
• D. Data insufficient

Answer 1

The correct option is A True

We know, the multiplication of $3$ odd numbers, i.e. the cube of an odd natural number, will always be odd.

For example, consider the odd natural numbers $3$ and $5$.

Then, their cube is $3^3=27$ and $5^3=125$, whose units place is odd.

That is, the cubes are also odd.

Hence, we can say, a cube of all odd natural numbers is odd.

Therefore, the given statement is true, and option $A$ is correct.