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06 Feb 2014, 01:22
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Is p^2 an odd integer?
(1) p is an odd integer.
(2) \(\sqrt{p}\) is an odd integer.
(1) p is an odd integer.
(2) \(\sqrt{p}\) is an odd integer.
06 Feb 2014, 01:22
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SOLUTION
Is p^2 an odd integer?
(1) p is an odd integer --> \(p^2=odd^2=odd\). Sufficient.
(2) \(\sqrt{p}\) is an odd integer --> \(\sqrt{p}=odd\) --> \(p=odd^2=odd\) --> \(p^2=odd^2=odd\). Sufficient.
Answer: D.
Is p^2 an odd integer?
(1) p is an odd integer --> \(p^2=odd^2=odd\). Sufficient.
(2) \(\sqrt{p}\) is an odd integer --> \(\sqrt{p}=odd\) --> \(p=odd^2=odd\) --> \(p^2=odd^2=odd\). Sufficient.
Answer: D.
06 Feb 2014, 02:55
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D.
(1) p is odd. \(p^2\) is odd*odd = odd Sufficient.
(2)\(\sqrt{p}\) is odd, hence \(p^2 = ( \sqrt{p})^4\) is also odd. Sufficient.
(1) p is odd. \(p^2\) is odd*odd = odd Sufficient.
(2)\(\sqrt{p}\) is odd, hence \(p^2 = ( \sqrt{p})^4\) is also odd. Sufficient.
