Can You solve this "remainder" question?

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EbrahimHashem: Junior | Next Rank: 30 Posts; Posts: 29; Joined: Mon Mar 09, 2009 6:39 am

by EbrahimHashem » Thu Jun 25, 2009 6:46 pm

What is the remainder when integer n is dvided by 10?

(1) when n is divided by 110, the remainder is 75.
(2) When n is divided by 100, the remainder is 25.

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Source: Beat The GMAT — Data Sufficiency | Thu Jun 25, 2009 6:46 pm

cramya: Legendary Member; Posts: 2467; Joined: Thu Aug 28, 2008 6:14 pmFollowed by: 11 members; Thanked: 331 times

by cramya » Thu Jun 25, 2009 9:52 pm

D

Stmt I

n = 110q+75

110 always divisble by 10 so the remiander will be what 75 will leave when divided by 10 i.e 5

SUFF

Stmt II

n = 100q+25

100 always divisble by 10 so the remiander will be what 25 will leave when divided by 10 i.e 5

SUFF

Only prob is the 2 statements here contradict each other i.e. if we take n=75 then it does not leave a remainder 25 when divided by 100. In gmat q's this will not be the case

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nitya34: Master | Next Rank: 500 Posts; Posts: 179; Joined: Tue Jan 08, 2008 7:23 pm; Thanked: 11 times; GMAT Score:590

by nitya34 » Fri Jun 26, 2009 1:02 am

..........

Last edited by nitya34 on Fri Jun 26, 2009 1:06 am, edited 1 time in total.

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nitya34: Master | Next Rank: 500 Posts; Posts: 179; Joined: Tue Jan 08, 2008 7:23 pm; Thanked: 11 times; GMAT Score:590

by nitya34 » Fri Jun 26, 2009 1:04 am

agreed D

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rahulg83: Legendary Member; Posts: 575; Joined: Tue Nov 04, 2008 2:58 amFollowed by: 4 members; Location: India; Thanked: 18 times; GMAT Score:710

by rahulg83 » Fri Jun 26, 2009 2:06 am

matter of seconds..

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Ian Stewart: GMAT Instructor; Posts: 2623; Joined: Mon Jun 02, 2008 3:17 amFollowed by: 355 members; Location: Montreal; Thanked: 1090 times; GMAT Score:780

by Ian Stewart » Fri Jun 26, 2009 3:03 am

cramya wrote: Only prob is the 2 statements here contradict each other i.e. if we take n=75 then it does not leave a remainder 25 when divided by 100. In gmat q's this will not be the case

Yes, n can't be 75, but the statements aren't contradictory - n could be 625, 1725, 2825, etc.

For online GMAT math tutoring, or to buy my higher-level Quant books and problem sets, contact me at ianstewartgmat at gmail.com

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cubicle_bound_misfit: Master | Next Rank: 500 Posts; Posts: 246; Joined: Mon May 19, 2008 7:34 am; Location: Texaco Gas Station; Thanked: 7 times

by cubicle_bound_misfit » Fri Jun 26, 2009 5:51 am

Basically,

the question is asking ...what is the unit digit of n

Using both statements independently,
each time unit digit is 5 (use VIC method)

hence D.

Cubicle Bound Misfit

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cramya: Legendary Member; Posts: 2467; Joined: Thu Aug 28, 2008 6:14 pmFollowed by: 11 members; Thanked: 331 times

by cramya » Fri Jun 26, 2009 4:16 pm

Yes, n can't be 75, but the statements aren't contradictory - n could be 625, 1725, 2825, etc.

Thanks Ian!

Regards,
CR

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