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# Gmat prep Q

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Manager
Joined: 30 Dec 2008
Posts: 121

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12 Jan 2009, 17:51
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If r is the remainder when the positive integer n is divided by 7, what is the value of r

1. when n is divided by 21, the remainder is an odd number
2. when n is divided by 28, the remainder is 3

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Manager
Status: Stanford GSB
Joined: 02 Jun 2008
Posts: 93

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13 Jan 2009, 11:01
The possible reminders can be 1,2,3,4,5 and 6. We have the pinpoint the exact remainder

St 1: when n is divided by 21 ( 7 and 3) the remainder is an odd number.
But it cannot be 7, 3 or 9 . Hence the possibilities are : 1 and 5.
Hence there can be two remainders ,1 and 5, when divided by 7.
NOT SUFFICIENT

St 2: when n is divided by 28 the remainder is 3.
As 7 is a factor of 28, the remainder for 7 will be 3
SUFFICIENT

I will post my collection of remainder problems tomorrow. It will be helpful for you.
Manager
Joined: 30 Dec 2008
Posts: 121

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13 Jan 2009, 14:40
Thanks Sandip.
Yea if you have a collection you can upload along w/ ans or explanation that would be great.

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Re: Gmat prep Q   [#permalink] 13 Jan 2009, 14:40
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# Gmat prep Q

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