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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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enigma123
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Is q^2 an odd integer? (1) q is an odd integer (2) q^4 is a [#permalink] New post   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.
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Re: Is q^2 an odd integer? (1) q is an odd integer (2) q^4 is a [#permalink] New post   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.

Answer: A.

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

Please clarify.
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Re: Is q^2 an odd integer? (1) q is an odd integer (2) q^4 is a [#permalink] New post   19 Mar 2012, 23:31
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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.

Please clarify.


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] New post   30 May 2017, 11:36
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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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