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

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VP
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If n is a positive integer, what is the value of the [#permalink] New post 23 Aug 2004, 19:32
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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



please solve this, thanks
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 [#permalink] New post 23 Aug 2004, 20:07
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.
  [#permalink] 23 Aug 2004, 20:07
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