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Joined: 31 Dec 1969
Location: United States
Concentration: Marketing, Other
GPA: 3.64
WE: Accounting (Accounting)
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Kudos [?]: 70 [0], given: 78626

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PS [#permalink] New post 02 Jun 2004, 10:47
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does anyone know a trick on how to solve these types of problems?

what is the tens digit of 221^4? thanks
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Joined: 07 May 2004
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Location: Ukraine, Russia(part-time)
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Re: PS [#permalink] New post 03 Jun 2004, 01:22
gmatgmatgmat wrote:
does anyone know a trick on how to solve these types of problems?

what is the tens digit of 221^4? thanks


That's really simple:

221 = 22*10 + 1. => 221^4 = (22*10 + 1)^4 = [(22*10)^4 + ... ]+ 4*22*10 + 1 => 8 is the tenth digit of this number, because 100 divides sum in [...].
Joined: 31 Dec 1969
Location: United States
Concentration: Marketing, Other
GPA: 3.64
WE: Accounting (Accounting)
Followers: 0

Kudos [?]: 70 [0], given: 78626

CAT Tests
thank [#permalink] New post 03 Jun 2004, 07:27
thanks emmanuel! :-D
thank   [#permalink] 03 Jun 2004, 07:27
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