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# If N is a positive integer, is N divisible by 12?

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Math Expert
Joined: 02 Sep 2009
Posts: 52296
If N is a positive integer, is N divisible by 12?  [#permalink]

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18 Apr 2017, 22:37
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Difficulty:

25% (medium)

Question Stats:

79% (00:38) correct 21% (00:51) wrong based on 45 sessions

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If N is a positive integer, is N divisible by 12?

(1) N is divisible by 6.
(2) N is divisible by 2.

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Joined: 06 Jul 2016
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Concentration: Strategy, Finance
Re: If N is a positive integer, is N divisible by 12?  [#permalink]

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18 Apr 2017, 22:41
1) N can take multiple values. Yes and No. Not Sufficient.
2) N is an even integer. Yes (12) and No (4). Not Sufficient.
1) & 2) together - Still not sufficient.
E is the correct answer.

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Re: If N is a positive integer, is N divisible by 12?  [#permalink]

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19 Apr 2017, 02:19
If N is a positive integer, is N divisible by 12?

(1) N is divisible by 6.
(2) N is divisible by 2.

The question is asking if N has 2^2 and 3^1 as its prime factors ?

1) That means N has at least 2^1 and 3^1 as its prime factors but we don't know anything else that could help us answer the question.

Insufficient.

BCE

2) N has at least 2^1.
Insufficient.

Both the statements:
Statement 1: N is divisible by 6 that means it is divisible by 2 and 3.
Statement 2: N is divisible by 2 (this information we already have from statement 1).

The answer is E.
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Re: If N is a positive integer, is N divisible by 12? &nbs [#permalink] 19 Apr 2017, 02:19
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# If N is a positive integer, is N divisible by 12?

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