DS -- Remainders

This topic has expert replies
Newbie | Next Rank: 10 Posts
Posts: 8
Joined: Wed Mar 04, 2009 12:12 pm

DS -- Remainders

by msch14 » Wed Jun 03, 2009 5:14 pm
What is the remainder when positive integer x is divided by 3?
A). When x is divided by 6, the remainder is 2.
B). When x is divided by 15, the remainder is 2.




OA D. Please help!

Senior | Next Rank: 100 Posts
Posts: 38
Joined: Fri Feb 20, 2009 8:45 am
Thanked: 5 times

by syr » Wed Jun 03, 2009 5:20 pm
Consider numbers here ...

1) When x is divided by 6, remainder is 2
Hence x = 8, 14, 20 etc
Therefore, when x is divided by 3 ie 8/3 remainder 2, 14/3 remainder 2, 20/3 remainder 2

Thus definitely 2 is remainder when x is divided by 3

2) When x is divided by 15, remainder is 2
Hence x = 17, 32, 47 etc
Therefore, when x is divided by 3 ie 17/3 remainder 2, 32/3 remainder 2, 47/2 remainder 2

Again, consistently 2 is remainder when x is divided by 3

Thus D

HTH

Newbie | Next Rank: 10 Posts
Posts: 8
Joined: Wed Mar 04, 2009 12:12 pm

by msch14 » Wed Jun 03, 2009 5:58 pm
Thank you!

Senior | Next Rank: 100 Posts
Posts: 59
Joined: Fri Feb 29, 2008 9:00 am
Thanked: 4 times

by agoyal2 » Thu Jun 04, 2009 5:38 am
msch14, would appreciate if you could use the spoiler tag to hide the OA.. Thanks!

Junior | Next Rank: 30 Posts
Posts: 17
Joined: Tue Jul 14, 2009 6:15 am
Location: DC
Thanked: 1 times
GMAT Score:710

by mgshorrGMAT » Tue Sep 01, 2009 3:30 pm
Thanks