Rewrite the following statement with if then in five different ways conveying the same meaning: If a natural number is odd, then its square is also odd.

Explanation

statement p : a natural number is odd.
statement q : the square of this natural number is also odd.
Five statement conveying same meaning in which 'if-then' is used.
(i) if a natural number is odd, then it is sufficient that its square is also odd.
(ii) if the square of a nautral number is not odd, then the natural number is not odd.
(iii) for the square of a natural number to be odd, it is sufficient that the number is odd.
(iv) a natural number is odd imlies that its square is odd.
(v) A natural number is odd only if its square is odd.