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# If j and k are integers and j^2/k is odd, which of the

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If j and k are integers and j^2/k is odd, which of the [#permalink]  25 Feb 2012, 03:52
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If j and k are integers and j^2/k is odd, which of the following must be true?

(A) j and k are both even
(B) j = k
(C) If j is even, k is even
(D) j is divisible by k
(E) j^2 > k

What's the best way to approach these questions? Picking numbers or anything else?
[Reveal] Spoiler: OA

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Re: Must be true. [#permalink]  25 Feb 2012, 03:56
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If j and k are integers and j^2 / k is odd, which of the following must be true ?

Actually you can use mixed approach.

Given: $$j$$ and $$k$$ are integers and $$\frac{j^2}{k}=odd$$ --> $$j^2=k*odd$$

(A) j and k are both even: not necessarily true, for example $$j=1$$ and $$k=1$$;

(B) j = k: not necessarily true, for example $$j=3$$ and $$k=1$$;

(C) If j is even, k is even: as $$j^2=k*odd$$ then in order $$j$$ to be even $$k$$ must be even too, so this statement must be true;

(D) j is divisible by k: not necessarily true, for example $$j=3$$ and $$k=9$$;

(E) j^2 > k: not necessarily true, for example $$j=1$$ and $$k=1$$.

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Re: If j and k are integers and j^2/k is odd, which of the [#permalink]  28 Jun 2014, 16:44
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Re: If j and k are integers and j^2/k is odd, which of the   [#permalink] 28 Jun 2014, 16:44
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