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# PS -Numbers

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Manager
Joined: 15 Apr 2008
Posts: 159

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08 Jan 2009, 11:17
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A number when divided by 3 leaves a remainder 1. when the quotient is divided by 2 it leaves a remainder 1 what will be the remainder when the number is divided by 6?

2
3
4
5

pls show working also

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SVP
Joined: 29 Aug 2007
Posts: 2452

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08 Jan 2009, 11:54
ALD wrote:
A number when divided by 3 leaves a remainder 1. when the quotient is divided by 2 it leaves a remainder 1 what will be the remainder when the number is divided by 6?

2
3
4
5

pls show working also

4. Sometime when answer choices are so naive, they themself reveal the answer.

Only 4 has reminder 1 when 4 is divided by 3. So no more work required.
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Manager
Joined: 04 Jan 2009
Posts: 234

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08 Jan 2009, 11:58
Let x be the number
x=3m+1
m=2n+1
x=6n+4
Hence, 4 is the correct answer.

BTW there are numbers such as 16, 28 and so on that fit the bill here.
ALD wrote:
A number when divided by 3 leaves a remainder 1. when the quotient is divided by 2 it leaves a remainder 1 what will be the remainder when the number is divided by 6?

2
3
4
5

pls show working also

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

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tusharvk

Re: PS -Numbers   [#permalink] 08 Jan 2009, 11:58
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