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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]

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25 Feb 2012, 04:52
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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

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

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Last edited by Vyshak on 14 Jul 2016, 20:33, edited 1 time in total.
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Re: If j and k are integers and j^2/k is odd, which of the [#permalink]

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25 Feb 2012, 04:56
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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 $$k=1$$.

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

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28 Jun 2014, 17:44
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Re: If j and k are integers and j^2/k is odd, which of the [#permalink]

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19 Aug 2015, 09:17
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: If j and k are integers and j^2/k is odd, which of the [#permalink]

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13 Jul 2016, 20:28
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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
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Re: If j and k are integers and j^2/k is odd, which of the [#permalink]

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13 Jul 2016, 21:04
HARRY113 wrote:
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

Topic Merged. Please refer the above discussion and search before posting.

Rules for posting: rules-for-posting-please-read-this-before-posting-133935.html#p1092822
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Re: If j and k are integers and j^2/k is odd, which of the [#permalink]

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14 Jul 2016, 13:22
Bunuel wrote:
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 $$k=1$$.

Answer: C.

Hi Bunuel, please change format of the question, when I saw the question, I thought J to the power of 2/K and started to solve.

When I saw your solution, then I realized that I read the question in different way.Such typing mistakes must be avoided.
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Re: If j and k are integers and j^2/k is odd, which of the [#permalink]

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14 Jul 2016, 21:22
msk0657 wrote:
Bunuel wrote:
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 $$k=1$$.

Answer: C.

Hi Bunuel, please change format of the question, when I saw the question, I thought J to the power of 2/K and started to solve.

When I saw your solution, then I realized that I read the question in different way.Such typing mistakes must be avoided.

j^2/k mathematically can only mean j^2 divided by k. If it were j to the power of k/2 it would be written as j^(2/k).
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Re: If j and k are integers and j^2/k is odd, which of the [#permalink]

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14 Jul 2016, 21:35
change the equation to j^2 = odd number * k
a) j=81 k= 3 false
b) same as A
c) j= even j^=2 even = odd number K must be even true
d) j=3 k=9 ...false
e) j=k=1
Re: If j and k are integers and j^2/k is odd, which of the   [#permalink] 14 Jul 2016, 21:35
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