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The digits in units's place of number (1...

The digits in units's place of number `(10^(2013)-1)/(10^33-1)` is._____________.

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Verified by Experts

The correct Answer is:
1
`(10^(2013)-1)/(10^(33)-1)=((10^(33))^(61)-1)/(10^(33)-1)`
`=((10^(33))^(60)+(10^(33))^(58)+..+(10^(33))+1)`
Thus, the digit in unit place is 1
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