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When 15n where n is a positive integer, is divided by 6, the remainder

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When 15n where n is a positive integer, is divided by 6, the remainder [#permalink]

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New post 12 Nov 2017, 23:40
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When 15n, where n is a positive integer, is divided by 6, the remainder is x. What is the value of x?

(1) When n is divided by 2, the remainder is 0.

(2) When n is divided by 3, the remainder is 0.
Spoiler: OA

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Re: When 15n where n is a positive integer, is divided by 6, the remainder [#permalink]

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New post 12 Nov 2017, 23:51
A

From st1 we can know that n is a positive even number.
ie2,4,6,8...
So 15n/6 will always give the remainder 0. Sufficient

From st2 n is a multiple of 3. For odd multiples of 3 the remainder of 15n/6 is 3. But for even multiple of 3 it’s 0. Two values. So insufficient


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Re: When 15n where n is a positive integer, is divided by 6, the remainder [#permalink]

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New post 13 Nov 2017, 00:44
Since 15n=3*5*n and has 3 as a factor, we just need to figure out whether n is a multiple of 2 or not
(1) Sufficient, now we know that n is divisible by 2, so the remainder when 15n is divided by 6 is zero
(2) This information gives us no new inferences, because 15n has 3 as a factor itself

Answer A.
Re: When 15n where n is a positive integer, is divided by 6, the remainder   [#permalink] 13 Nov 2017, 00:44
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