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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] New post 02 Sep 2010, 11:46
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

58% (01:53) correct 42% (00:46) wrong based on 67 sessions
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] New post 02 Sep 2010, 12:57
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] New post 02 Sep 2010, 13:02
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] New post 02 Sep 2010, 13:04
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

answer E......
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If n and k are positive integers, is n/k an even integer? [#permalink] New post 23 Aug 2011, 23:52
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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] New post 24 Aug 2011, 02:43
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] New post 24 Aug 2011, 03:13
we have to find n/q:

S1-nothing about k
S2- nothing about n.

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] New post 03 Mar 2015, 09:23
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Re: If n and k are positive integers, is n/k an even integer? [#permalink] New post 03 Mar 2015, 22:19
Expert's post
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

Final Answer:
[Reveal] Spoiler:
E


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Re: If n and k are positive integers, is n/k an even integer?   [#permalink] 03 Mar 2015, 22:19
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