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# What is the remainder when positive integer x is divided by 3?

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What is the remainder when positive integer x is divided by 3?  [#permalink]

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Updated on: 13 Mar 2018, 21:48
3
00:00

Difficulty:

5% (low)

Question Stats:

79% (00:59) correct 21% (01:34) wrong based on 141 sessions

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What is the remainder when positive integer x is divided by 3?

(1) When x is divided by 6 remainder is 2
(2) When x is divided by 15, remainder is 2

Originally posted by ronr34 on 25 Sep 2013, 09:37.
Last edited by Bunuel on 13 Mar 2018, 21:48, edited 2 times in total.
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Re: What is the remainder when positive integer x is divided by 3?  [#permalink]

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25 Sep 2013, 09:41
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ronr34 wrote:
What is the remainder when positive integer x is divided by 3?

(1) When x is divided by 6 remainder is 2
(2) When x is divided by 15, remainder is 2

I think it's D but can anyone else verify this?

What is the remainder when positive integer x is divided by 3?

(1) When x is divided by 6 remainder is 2 --> x = 6q + 2 = {multiple of 3} + 2, thus the remainder when x is divided by 3 is 2. Sufficient.

(2) When x is divided by 15, remainder is 2 --> x = 15p + 2 = {multiple of 3} + 2, thus the remainder when x is divided by 3 is 2. Sufficient.

Hope it's clear.
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Re: What is the remainder when positive integer x is divided by 3?  [#permalink]

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22 Apr 2016, 07:41
since 6 and 15 are both multiples of 3 and 2 is smaller than 3, then they will have the same remainder 2. Hence D
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Re: What is the remainder when positive integer x is divided by 3?  [#permalink]

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13 Mar 2018, 14:22
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Re: What is the remainder when positive integer x is divided by 3?   [#permalink] 13 Mar 2018, 14:22
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