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# Is q^2 an odd integer? (1) q is an odd integer (2) q^4 is a

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Is q^2 an odd integer? (1) q is an odd integer (2) q^4 is a [#permalink]  19 Mar 2012, 03:59
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Question Stats:

75% (01:23) correct 25% (00:10) wrong based on 12 sessions
Is q^2 an odd integer?

(1) q is an odd integer.
(2) q^4 is an odd integer.

How come the answer will be A? For me it should be straight D or I am reading something wrong.
[Reveal] Spoiler: OA

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Re: Is q^2 an odd integer? (1) q is an odd integer (2) q^4 is a [#permalink]  19 Mar 2012, 04:09
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Expert's post
Is q^2 an odd integer?

Notice that we are not told that q is an integer.

(1) q is an odd integer --> q^2 is odd. Sufficient.

(2) q^4 is an odd integer --> if $$q=odd$$ then the answer would be YES, but if $$q=\sqrt[4]{3}$$ then the answer would be NO, since $$q^2=\sqrt{3}$$ is not an integer at all. Not sufficient.

Hope it's clear.
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Re: Is q^2 an odd integer? (1) q is an odd integer (2) q^4 is a [#permalink]  19 Mar 2012, 04:18
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Re: Is q^2 an odd integer? (1) q is an odd integer (2) q^4 is a [#permalink]  19 Mar 2012, 20:01
Hi Bunuel,

q^4 is an odd integer --> if q=odd then the answer would be YES, but if q=\sqrt{3} then the answer would be NO, since \sqrt{3} is not an integer at all. Not sufficient.

My Question is if Q is equal to root 3 then Q square will be 3 which is odd. Which makes it sufficient to answer that Q square will be odd.

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Re: Is q^2 an odd integer? (1) q is an odd integer (2) q^4 is a [#permalink]  19 Mar 2012, 22:31
Expert's post
vinayaerostar wrote:
Hi Bunuel,

q^4 is an odd integer --> if q=odd then the answer would be YES, but if q=\sqrt{3} then the answer would be NO, since \sqrt{3} is not an integer at all. Not sufficient.

My Question is if Q is equal to root 3 then Q square will be 3 which is odd. Which makes it sufficient to answer that Q square will be odd.

There was a formatting error, it should be: " if $$q=\sqrt[4]{3}$$ then the answer would be NO, since $$q^2=\sqrt{3}$$ is not an integer at all".
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Re: Is q^2 an odd integer? (1) q is an odd integer (2) q^4 is a   [#permalink] 19 Mar 2012, 22:31
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