DS -- Remainders

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msch14: Newbie | Next Rank: 10 Posts; Posts: 8; Joined: Wed Mar 04, 2009 12:12 pm

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!

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Source: Beat The GMAT — Data Sufficiency | Wed Jun 03, 2009 5:14 pm

syr: 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

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msch14: 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!

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agoyal2: 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!

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mgshorrGMAT: 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

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