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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]

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19 Mar 2012, 04:59
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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]

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19 Mar 2012, 05:09
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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]

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19 Mar 2012, 05:18
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Re: Is q^2 an odd integer? (1) q is an odd integer (2) q^4 is a [#permalink]

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19 Mar 2012, 21:01
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]

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19 Mar 2012, 23:31
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]

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25 Dec 2015, 06:10
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Re: Is q^2 an odd integer? (1) q is an odd integer (2) q^4 is a [#permalink]

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30 May 2017, 11:36
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Is q^2 an odd integer? (1) q is an odd integer (2) q^4 is a   [#permalink] 30 May 2017, 11:36
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