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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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New post 02 Sep 2010, 12:46
2
4
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

62% (01:12) correct 38% (01:04) wrong based on 319 sessions

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

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New post 02 Sep 2010, 13:57
2
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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New post 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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New post 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

answer E......
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Re: A diffcult Math problem  [#permalink]

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New post 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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New post 24 Aug 2011, 04:13
1
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]

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New post 03 Mar 2015, 23:19
1
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

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

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New post 20 Dec 2015, 10:54
1
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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New post 01 Nov 2018, 09:43
We are not given any information on the relationship between n and k.

Therefore, n could be either bigger, equal or smaller than k. Unless we have information on the relationship between the two number we are not able to answer the question posed in the question stem.

Hence the answer should be E.

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Re: If n and k are positive integers, is n/k an even integer?   [#permalink] 01 Nov 2018, 09:43
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