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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.'
'If a natural number is odd, then its square is also odd.'
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(i) A natural number is odd implies that its square is odd.
(ii) The natural number is odd only if its square is odd.
(iii) If the square of a natural number is not odd then the natural number is also not odd.
(iv) For a natural number to be odd it is necessary that its square is odd.
(v) For a square of a natural number to be odd, it is sufficient that the number is odd.
(ii) The natural number is odd only if its square is odd.
(iii) If the square of a natural number is not odd then the natural number is also not odd.
(iv) For a natural number to be odd it is necessary that its square is odd.
(v) For a square of a natural number to be odd, it is sufficient that the number is odd.
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