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Is m divisible by n?

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Senior Manager
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Is m divisible by n?  [#permalink]

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New post 07 Mar 2017, 03:37
1
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

56% (01:09) correct 44% (01:57) wrong based on 39 sessions

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Is m divisible by n?

(1) m + n is divisible by m – n.

(2) m + n is divisible by n.
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Re: Is m divisible by n?  [#permalink]

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New post 07 Mar 2017, 06:56
vikasp99 wrote:
Is m divisible by n?

(1) m + n is divisible by m – n.

(2) m + n is divisible by n.


(1) m + n is divisible by m – n -> Assuming m=3 and n=2, m is not divisible by n. Assuming m=3 and n=1, m is divisible by n. - Not sufficient.

(2) m + n is divisible by n. -> m should definitely be divisible by n. - Sufficient.

Hence B.

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Re: Is m divisible by n?  [#permalink]

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New post 09 Mar 2017, 17:18
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vikasp99 wrote:
Is m divisible by n?

(1) m + n is divisible by m – n.

(2) m + n is divisible by n.


We need to determine whether m/n = integer.

Statement One Alone:

m + n is divisible by m – n.

Statement one alone is not sufficient to answer the question. For instance, if m = 6 and n = 3, then m is divisible by n; however, if m = 6 and n = 5, then m is not divisible by n. Statement one alone is not sufficient to answer the question.

Statement Two Alone:

m + n is divisible by n.

Since m + n is divisible by n, we know the following:

(m + n)/n = integer

m/n + n/n = integer

m/n + 1 = integer

m/n = integer - 1

Since any integer minus 1 is also an integer, m/n is an integer.

Answer: B
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Re: Is m divisible by n? &nbs [#permalink] 09 Mar 2017, 17:18
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