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What is the remainder when n is divided by 6?

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What is the remainder when n is divided by 6? [#permalink] New post 28 May 2011, 14:00
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67% (01:27) correct 33% (01:28) wrong based on 12 sessions
15) What is the remainder when n is divided by 6?
I) n when divided by 12 leaves a remainder of 1
II) n when divided by 3 leaves a remainder of 1
[Reveal] Spoiler: OA

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Re: Reminders [#permalink] New post 28 May 2011, 14:26
If N is divided by 6 or a multiple of 6 will always have the same Reminder, so first statement is OK.
Regarding statement 2, If N is divided by 3 or a multiple of 3, it won't necessary have the same reminder as if it was divided by 6 or a multiple of 6 (i.e in this case, if N = 4, 10, etc)...
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Re: Reminders [#permalink] New post 28 May 2011, 16:01
aeros232 wrote:
If N is divided by 6 or a multiple of 6 will always have the same Reminder, so first statement is OK.
Regarding statement 2, If N is divided by 3 or a multiple of 3, it won't necessary have the same reminder as if it was divided by 6 or a multiple of 6 (i.e in this case, if N = 4, 10, etc)...


you are right -
st-1 => the values of n could be 13, 25, 37, 49...
there is pattern above... so whenever n is divided by 6, the remainder is 1
sufficient

st-2 => the values of n could be 4, 7, 10, 13, 16...
now when n is divided by 6, the remainder is 4 or 1.
not sufficient.
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Re: Reminders [#permalink] New post 29 May 2011, 01:21
(1)

n = 12k + 1

=> n = 6*2k + 1

=> n = 6 * integer + 1

So Remainder = 1

Sufficient

(2)

n = 3k + 1

=> n = 1,4,7,10

So n/6 gives remainder as 1 and 4

Insufficient

Answer - A
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Re: Reminders   [#permalink] 29 May 2011, 01:21
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