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

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If j and k are integers and j^2/k is odd, which of the following must  [#permalink]

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27 Aug 2018, 11:00
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Difficulty:

55% (hard)

Question Stats:

53% (01:21) correct 47% (01:07) wrong based on 34 sessions

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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. $$j^2 > k$$

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Posts: 71
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GMAT 1: 600 Q48 V25
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Re: If j and k are integers and j^2/k is odd, which of the following must  [#permalink]

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27 Aug 2018, 11:25
1
A. j and k are both even j=3 and k=9

B. j=k j=3 and k=9

C. If j is even, k is even must be true. If j is even, j^2 must be even. And k must be even to $$(j^2)/k$$ be odd. Ex: j=10 and k=20

D. j is divisible by k j=3 and k=9

E. j^2>k j=3 and k=9

Option C
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Re: If j and k are integers and j^2/k is odd, which of the following must  [#permalink]

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27 Aug 2018, 14:28
carcass wrote:
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. $$j^2 > k$$

https://gmatclub.com/forum/if-j-and-k-a ... fl=similar
This question is already discussed in the forum.
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Joined: 28 Feb 2014
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Re: If j and k are integers and j^2/k is odd, which of the following must  [#permalink]

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28 Aug 2018, 00:16
The question states that j^2 / k is odd, therefore it can be written that j^2 = ka, where a is odd. Now there are two cases:

Case I: If both are odd, j = 9 and k = 3, then j^2 / k = 9^2 / = 27, is odd.
Case II: If both are even , j = 6 and k = 4, then j^2 / k = 6^2 / 4 = 9, is odd.

To determine, which option must be true, then option C is correct.
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Joined: 02 Sep 2009
Posts: 55150
Re: If j and k are integers and j^2/k is odd, which of the following must  [#permalink]

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28 Aug 2018, 04:35
carcass wrote:
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. $$j^2 > k$$

Discussed here: https://gmatclub.com/forum/if-j-and-k-a ... 07617.html
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Re: If j and k are integers and j^2/k is odd, which of the following must   [#permalink] 28 Aug 2018, 04:35
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# If j and k are integers and j^2/k is odd, which of the following must

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