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# If n is an integer, what is the remainder when n is divided

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Manager
Joined: 22 Mar 2009
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Schools: Darden:Tepper:UCUIC:Kenan Flager:Nanyang:NUS:ISB:UCI Merage:Emory
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Kudos [?]: 29 [0], given: 7

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23 Oct 2009, 02:47
Thanks guys.....

Never thought I was weak in divisor concepts.....Gmat tiger thank u!!!!
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12 Nov 2009, 19:39
1) -> n+1=7X ( x is an arbitrary integer) => n=7x-1 so remainder is 6 sufficient

2) -> n+8 =7x (where x is another arbitrary integer, positive or negative or even 0) => n=7x-8 => remainder is -1 sufficient.

Answer should be D. Each condition is sufficient.
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Re: If n is an integer, what is the remainder when n is divided [#permalink]

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12 Oct 2013, 07:25
vcbabu wrote:
If n is an integer, what is the remainder when n is divided by 7?

(1) n+1 is divisible by 7
(2) n+8 is divisible by 7

Let's tackle this one.

Statement 1: n+1 = 7k, then n = 7k-1
So when divided by 7 the remainder will be -1. But we can't have a remainder of -1. So what we'll do is correct for the excess. Just add 7 and voila you will have a remainder of 6.

This is suff

Statement 2: n+8 = 7p, n= 7p-8. Same thing here we have a negative remainder of -1. Add 7. Remainder 6.

This is suff as well.

So answer is in fact (D)

Kudos if you like
Re: If n is an integer, what is the remainder when n is divided   [#permalink] 12 Oct 2013, 07:25

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