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# If n and k are positive integers, is n/k an even integer?

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If n and k are positive integers, is n/k an even integer? [#permalink]

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02 Sep 2010, 12:46
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If n and k are positive integers, is n/k an even integer?

(1) n is divisible by 8.
(2) k is divisible by 4.
[Reveal] Spoiler: OA
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Re: If n and k are positive integers, is n/k an even integer? [#permalink]

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02 Sep 2010, 13:57
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E

Assume n= 24 (divisible by 8) and k = 8 (divisible by 4)

n/k = 3/2

Assume n= 32 (divisible by 8) and k = 8 (divisible by 4)

n/k = 4

So (I) and (II) are together insufficient
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Re: If n and k are positive integers, is n/k an even integer? [#permalink]

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02 Sep 2010, 14:02
udaymathapati wrote:
If n and k are positive integers, is n/k an even integer?
(1) n is divisible by 8.
(2) k is divisible by 4.

I would go with E

plugin 40/12.

it simplifies to 2*5/3 which is not even an integer. You can also try numbers that answer yes to the question.
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Re: If n and k are positive integers, is n/k an even integer? [#permalink]

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02 Sep 2010, 14:04
If n and k are positive integers, is n/k an even integer?
(1) n is divisible by 8.
(2) k is divisible by 4.

Explanation
1) n is divisible by 8 --> 8/8 = 1 (odd) 8/3 ,8/5 gives nothing not even an integer
2) k is divisible by 4 --> 25/4 = gives nothing not even an integer

combining both

16/12 --> gives nothing not even an integer

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If n and k are positive integers, is n/k an even integer? [#permalink]

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24 Aug 2011, 00:52
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If n and k are positive integers, is n/k an even integer?

(1)n is divisible by 8
(2)k is divisible by 4
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Re: A diffcult Math problem [#permalink]

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24 Aug 2011, 03:43
The answer is E as n/k can be a fraction.
eg.
8*2=16
4*8=32
16/32=0.5
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Re: A diffcult Math problem [#permalink]

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24 Aug 2011, 04:13
we have to find n/q:

combined: n=8a and k=4b so

n/k= 8a/4b= 2a/b so n/k= 2a/b if a and b are 2 and 2 the answer is yes=2*2/2=2 (n/k is even) but if a and b are 3 and 2 then 2*3/2=3 (the answer is no. 3 is odd)
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Re: If n and k are positive integers, is n/k an even integer? [#permalink]

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03 Mar 2015, 10:23
Hello from the GMAT Club BumpBot!

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Re: If n and k are positive integers, is n/k an even integer? [#permalink]

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03 Mar 2015, 23:19
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Hi All,

While it might be easy to run through this question without taking any notes (and still get it correct), there's something to be said for practicing to PROVE that your answer is correct. This level of attention to detail will help you to hone your skills on ALL DS questions.

We're told that N and K are positive integers. We're asked if N/K is an EVEN INTEGER. This is a YES/NO question.

Fact 1: N is divisible by 8

IF....
N = 8
K = 1
Then 8/1 = 8 and the answer to the question is YES

IF....
N = 8
K = 8
Then 8/8 = 1 and the answer to the question is NO
Fact 1 is INSUFFICIENT

Fact 2: K is divisible by 4

IF....
N = 8
K = 4
Then 8/4 = 2 and the answer to the question is YES

IF...
N = 7
K = 4
Then 7/4 = 1.75 and the answer to the question is NO
Fact 2 is INSUFFICIENT

Combined, we know...
N is divisible by 8
K is divisible by 4

IF....
N = 8
K = 4
Then 8/4 = 2 and the answer to the question is YES

IF....
N = 8
K = 8
8/8 = 1 and the answer to the question is NO
Combined, INSUFFICIENT

[Reveal] Spoiler:
E

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Re: If n and k are positive integers, is n/k an even integer? [#permalink]

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20 Dec 2015, 10:54
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The question asks whether n/k = 2n

Each statement alone is insufficientt

Combining the two statements n/k can be written as (8 * something)/(4 * something)

While at first chance it may seem that 8 gets cancelled by 4, leaves a 2 and rest multiplied by 2 is even. But we don't know the something/something else. it may be 2 * 7/9 which is not an integer at all (n and k are positive integers, this does not imply their division is one too)

Hence, E
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Re: If n and k are positive integers, is n/k an even integer? [#permalink]

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17 Apr 2017, 03:28
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 n and k are positive integers, is n/k an even integer?   [#permalink] 17 Apr 2017, 03:28
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