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# When the integer n is divided by 6, the remainder is 3,

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Manager
Joined: 05 Sep 2007
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Location: New York
When the integer n is divided by 6, the remainder is 3, [#permalink]

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31 Mar 2008, 18:18
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When the integer n is divided by 6, the remainder is 3, Which of the following is NOT a multiple of 6?
(A) n – 3
(B) n + 3
(C) 2n
(D) 3n
(E) 4n

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Director
Joined: 10 Sep 2007
Posts: 933

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Re: PS: Int. [#permalink]

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31 Mar 2008, 18:29
n/6 leaves a remainder of 3.
So n can be expressed as 6k + 3.

A) n – 3 = 6k + 3 - 3 = 6k multiple of 6
(B) n + 3 = 6k + 3 + 3 = 6k + 6 multiple of 6
(C) 2n = 2(6k + 3) = 12k + 6 multiple of 6
(D) 3n = 3(6k + 3) = 18k + 9 NOT a multiple of 6
(E) 4n = 4(6k + 3) = 24k + 12 multiple of 6

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Re: PS: Int.   [#permalink] 31 Mar 2008, 18:29
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# When the integer n is divided by 6, the remainder is 3,

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