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# If m and n are positive integers, and m=2n and k=3m, then -

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Senior Manager
Joined: 21 Oct 2013
Posts: 418
If m and n are positive integers, and m=2n and k=3m, then -  [#permalink]

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27 Aug 2014, 05:51
1
3
00:00

Difficulty:

25% (medium)

Question Stats:

73% (01:38) correct 27% (02:04) wrong based on 206 sessions

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If m and n are positive integers, and m=2n and k=3m, then -

A) m/2 is a factor of k.
B) 2m is a factor of k.
C) 3m is a factor of k/2.
D) k is a factor of m.
E) k is a factor of m/2.
Math Expert
Joined: 02 Sep 2009
Posts: 52918
Re: If m and n are positive integers, and m=2n and k=3m, then -  [#permalink]

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27 Aug 2014, 05:59
2
goodyear2013 wrote:
If m and n are positive integers, and m=2n and k=3m, then -

A) m/2 is a factor of k.
B) 2m is a factor of k.
C) 3m is a factor of k/2.
D) k is a factor of m.
E) k is a factor of m/2.

m=2n --> m is even.
k=3m --> m is factor of k, thus m/2 = integer must also be a factor of k.

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Re: If m and n are positive integers, and m=2n and k=3m, then -  [#permalink]

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02 Sep 2014, 02:17
1
Solved by substitution

Let m = 2; n=3 & k = 18

Verified conditions one by one

A: m/2 is a factor of k. >>>>>>>. YES

B) 2m is a factor of k. >>>>>>> NO
C) 3m is a factor of k/2. >>>>>> NO
D) k is a factor of m. >>>>>>>>> NO
E) k is a factor of m/2. >>>>>> NO

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Joined: 12 Aug 2015
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Schools: Boston U '20 (M)
GRE 1: Q169 V154
If m and n are positive integers, and m=2n and k=3m, then -  [#permalink]

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28 Dec 2016, 09:47
Great Question.
Testing our domain knowledge for multiples and factors.
Here is what i did in this question =>

Notice k=3m=6n

1) => 2k/m => 2*3 = 6 Hence YES

Hence A

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Joined: 22 May 2015
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Re: If m and n are positive integers, and m=2n and k=3m, then -  [#permalink]

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10 Mar 2018, 19:04
Solved it using values ,

Say n = 1 => m =2 , K= 6. Only option A is valid.
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Re: If m and n are positive integers, and m=2n and k=3m, then -   [#permalink] 10 Mar 2018, 19:04
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# If m and n are positive integers, and m=2n and k=3m, then -

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