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# If n is a positive integer, what is the value of the

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VP
Joined: 26 Apr 2004
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If n is a positive integer, what is the value of the [#permalink]

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23 Aug 2004, 20:32
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If n is a positive integer, what is the value of the hundreds digit of 30^n ?

(1) 30^n > 1000
(2) n is a multiple of 3

Director
Joined: 20 Jul 2004
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23 Aug 2004, 21:07
n=1, 30^1=030 (Hundredth digit = 0)
n=2, 30^2=900 (Hundredth digit = 9)
n=3, 30^3=27000 (Hundredth digit = 0)
n=4, 30^4=810000 (Hundredth digit = 0)
For any further n, Hundredth digit = 0.

I. 30^n > 1000
Hundredth digit = 0.

II. n is a multiple of 3
Hundredth digit = 0.

So, D.
23 Aug 2004, 21:07
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