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forum.virtualchallengemeets.com • View topic - AIME I 2010 #2

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AIME I 2010 #2

American Mathematics Contest & American Invitational Mathematics Examination. See for more information
Note:USAMO/IMO-level questions need to go in the Olympiad section.
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AIME I 2010 #2

Postby stupidityismygam » Tue Mar 23, 2010 2:25 am

Find the remainder when [unparseable or potentially dangerous latex formula] is divided by [unparseable or potentially dangerous latex formula]
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Re: AIME I 2010 #2

Postby klebian » Tue Mar 23, 2010 10:56 am

Let's see if we can find a pattern. 9 = 9 (mod 1000), 9*99 = 891 (mod 1000), 9*99*999 = 109 (mod 1000), 9*99*999*9999 = 891 (mod 1000). So it alternates between 109 and 891, and the answer is [unparseable or potentially dangerous latex formula].
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Re: AIME I 2010 #2

Postby stupidityismygam » Tue Mar 23, 2010 12:23 pm

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