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DS -- Remainders

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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!
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Source: — Data Sufficiency |
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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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by msch14 » Wed Jun 03, 2009 5:58 pm
Thank you!
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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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by mgshorrGMAT » Tue Sep 01, 2009 3:30 pm
Thanks
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