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# what is the remainder when the positive integer n is divided

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Manager
Status: GMAT BATTLE - WIN OR DIE
Joined: 02 May 2011
Posts: 175
Concentration: General Management, Entrepreneurship
GMAT Date: 12-22-2011
GPA: 3.81
WE: General Management (Hospitality and Tourism)
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Kudos [?]: 20 [0], given: 13

what is the remainder when the positive integer n is divided [#permalink]  18 Jun 2011, 06:06
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Difficulty:

5% (low)

Question Stats:

61% (01:44) correct 39% (00:03) wrong based on 18 sessions
what is the remainder when the positive integer n is divided by 6?
1) n is a multiple of 5
2) n is a multiple of 12
[Reveal] Spoiler: OA
Manager
Joined: 08 Sep 2010
Posts: 59
Followers: 0

Kudos [?]: 7 [0], given: 4

Re: what is the remainder when the positive integer n is divided [#permalink]  18 Jun 2011, 07:29
WishMasterUA wrote:
what is the remainder when the positive integer n is divided by 6?
1) n is a multiple of 5
2) n is a multiple of 12

(1)
just plug in numbers.
say n = 5. 5/6 = remainder = 1
if n = 15, 15/6 --> remainder = 3
if n= 20, 20/6 --> remainder = 2

hence we can't be certain....therefore insufficient.

(2) n is a multiple of 12 and 12 is a multiple of 6.

therefore n/6 will have a 0 remainder.

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Kudos [?]: 107 [0], given: 13

Re: what is the remainder when the positive integer n is divided [#permalink]  18 Jun 2011, 07:33
WishMasterUA wrote:
what is the remainder when the positive integer n is divided by 6?
1) n is a multiple of 5
2) n is a multiple of 12

Think in in terms of prime factor, we need atleast one 2 and one 3 to be a multiple of 6
st:1 doesnt have it
st 2: 12 = 2^2*3 gives us a 2 and a 3.
hence B
Re: what is the remainder when the positive integer n is divided   [#permalink] 18 Jun 2011, 07:33
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