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# What is the remainder when the positive integer n is divided by 6? (1

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What is the remainder when the positive integer n is divided by 6? (1 [#permalink]

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18 Jun 2011, 07:06
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82% (01:30) correct 18% (00:40) wrong based on 111 sessions

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What is the remainder when the positive integer n is divided by 6?

(1) n is multiple of 5
(2) n is a multiple of 12

OPEN DISCUSSION OF THIS QUESTION IS HERE: what-is-the-remainder-when-the-positive-integer-n-is-divided-140692.html
[Reveal] Spoiler: OA
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Re: What is the remainder when the positive integer n is divided by 6? (1 [#permalink]

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18 Jun 2011, 08:29
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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Re: What is the remainder when the positive integer n is divided by 6? (1 [#permalink]

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18 Jun 2011, 08:33
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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
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Re: What is the remainder when the positive integer n is divided by 6? (1 [#permalink]

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04 Nov 2014, 21:53
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Re: What is the remainder when the positive integer n is divided by 6? (1 [#permalink]

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05 Nov 2014, 04:56
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What is the remainder when the positive integer n is divided by 6?

(1) n is multiple of 5. If n=5, then n yields the remainder of 5 when divided by 6 but if n=10, then n yields the remainder of 4 when divided by 6. We already have two different answers, which means that this statement is not sufficient.

(2) n is a multiple of 12. Every multiple of 12 is also a multiple of 6, thus n divided by 6 yields the remainder of 0. Sufficient.

OPEN DISCUSSION OF THIS QUESTION IS HERE: what-is-the-remainder-when-the-positive-integer-n-is-divided-140692.html
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Re: What is the remainder when the positive integer n is divided by 6? (1   [#permalink] 05 Nov 2014, 04:56
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