divisibility ! confused !thanks

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charmaine: Senior | Next Rank: 100 Posts; Posts: 71; Joined: Sun May 18, 2008 11:04 pm; Thanked: 1 times

by charmaine » Tue Sep 09, 2008 11:27 pm

If K is a positive integer less than 10 and N = 4,321 + K, what is the value of K?
(1) N is divisible by 3.
(2) N is divisible by 7.
ans. B

i got C do not know why its B ?
thanks for the help guys !

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Source: Beat The GMAT — Data Sufficiency | Tue Sep 09, 2008 11:27 pm

MadhurG: Newbie | Next Rank: 10 Posts; Posts: 1; Joined: Thu Jun 12, 2008 12:12 am

by MadhurG » Wed Sep 10, 2008 12:37 am

If we divide 4321 by 3 - remainder 1 - to make it divisible by 3
values of K (less than 10) are 2,5 and 8.

Stmt 1 insufficient

If we divide 4321 by 7 - remainder 2 - to make it divisible by 7
value of K (less than 10) is just 5.

Stmt 2 sufficient.

Hence B

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