Question

Rewrite the following statement in five different ways conveying the same meaning.

If a natural number is odd then its square is also odd.

Answer 1

The given statement can be written in five different ways as follows:

1. A natural number is odd implies that its square is odd.
2. A natural number is odd only if its square is odd.
3. For a natural number to be odd it is necessary that its square is odd.
4. For the square of a natural number to be odd it is sufficient that the number is odd.
5. If the square of a natural number is not odd then the natural number is not odd.