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# Which of the following statements do not convey the same meaning as the statement-A “If a natural number is odd, then its square is also odd.”

$\begin {array} {1 1} (A)\;A\: natural\: number\: is\: odd\: implies\: that\: its\: square\: is\: odd \\ (B)\;A\: natural\: number\: is\: odd \: only \: if\: its\: square\: is \: odd \\ (C)\;If \: the \: square\: of\: a\: natural\: number \: is \: not\: odd,\: then\: the \:natural \: number\: is \: also\: not\: odd \\ (D)\;For\: a \: natural\: number\: to \: be \: odd,\: it \: isn’t\: necessary\: for\: its\: square\: to \: be\: odd \end {array}$

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## 1 Answer

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Ans : (D)
For a natural number to be odd, it isn’t necessary for its square to be odd.
answered Jan 18, 2014

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