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

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

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New post 27 Aug 2014, 06:51
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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.
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Re: If m and n are positive integers, and m=2n and k=3m, then - [#permalink]

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New post 27 Aug 2014, 06:59
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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.

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

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New post 02 Sep 2014, 03:17
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

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

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New post 28 Dec 2016, 10:47
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Re: If m and n are positive integers, and m=2n and k=3m, then - [#permalink]

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New post 10 Mar 2018, 20:04
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, 20:04
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