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

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If j and k are integers and j^2/k is odd, which of the follo [#permalink] New post 27 Aug 2018, 10:00
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If j and k are integers and \(\frac{j^2}{k}\) 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. \(j^2 > k\)
[Reveal] Spoiler: OA

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Re: If j and k are integers and j^2/k is odd, which of the follo [#permalink] New post 29 Aug 2018, 12:23
Got wrong...solution plz..
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Re: If j and k are integers and j^2/k is odd, which of the follo [#permalink] New post 31 Aug 2018, 02:55
if we go as per the corrct answerr given here. E/E can be odd or can be even but never an interger. non integers are not considered even or odd in GRE. so
i think the C is wrong choice.

What we can be certain is this that J is divisible by K. Please elucidate me here if I am wrong.
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Re: If j and k are integers and j^2/k is odd, which of the follo [#permalink] New post 31 Aug 2018, 06:22
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IshanGre wrote:
if we go as per the corrct answerr given here. E/E can be odd or can be even but never an interger. non integers are not considered even or odd in GRE. so
i think the C is wrong choice.

What we can be certain is this that J is divisible by K. Please elucidate me here if I am wrong.



Here \(\frac{j^2}{k}\) is odd that is a given so the statement 'E/E can be odd or can be even ' is irrelevant.

\(\frac{j^2}{k}\) is an integer and that too odd. So what are values (even or odd) of k if j is even (given)

You have to go backwards it is already given that the fraction is an odd integer.
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Re: If j and k are integers and j^2/k is odd, which of the follo [#permalink] New post 31 Aug 2018, 21:37
Please explain with an example?
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Re: If j and k are integers and j^2/k is odd, which of the follo [#permalink] New post 01 Sep 2018, 05:39
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Arc29 wrote:
Please explain with an example?



Here let us consider the option one at a time:

Option A ::: j and k are both even: It may not be true because if j=1 and k=1 then we can get \(\frac{j^2}{k}= Odd\)

OPtion B::: j = k: it may not be true because if j=5 and k=1; it still satisfy the equation \(\frac{j^2}{k} = Odd\)

Option C ::: If j is even, k is even , this may be true \(\frac{j^2}{k} = odd\) or \(j^2\) = k*Odd, so if j = even then k has to be even to satisfy the equation (Even * Odd = Even)

Option D::: If j is divisible by k this may not be true because if j = 3 , k = 9 , it still satisfy the equation \(\frac{j^2}{k} = Odd\)

Option E ::: \(j^2 > k\) It may not be true, because if j = 1 and k = 1 then \(j^2 = k\) and it still satisfy the equation \(\frac{j^2}{k} = Odd\)
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Re: If j and k are integers and j^2/k is odd, which of the follo [#permalink] New post 02 Sep 2018, 04:24
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j^2/k is odd implies that both j^2 and k are odd or both are even. So it is like, if j is odd, k is also odd or if k is even then j is even. It cannot be the case that j^2 is odd and k is even or vice versa, because in such a case you will not get an integer.

Now look at the options:
A) j and k are both even - but they can be odd also. so this is not certain and hence out
B) there is no evidence of j and k being equal. so this is not certain and hence out
C) Compare it with option A. Here it is given that j is even and hence k is even, this is exactly what we have concluded above
D) j is divisible by k. Not necessarily. consider j=4 and k=16
E) j^2 > k : this may not always be the case, consider j = 4 and k = 16

So the correct answer is C
Re: If j and k are integers and j^2/k is odd, which of the follo   [#permalink] 02 Sep 2018, 04:24
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If j and k are integers and j^2/k is odd, which of the follo

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