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What is the reminder when 9^1 + 9^2 + 9^3 + ...... + 9^9 is

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VP
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What is the reminder when 9^1 + 9^2 + 9^3 + ...... + 9^9 is [#permalink]

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New post 06 May 2005, 06:45
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What is the reminder when 9^1 + 9^2 + 9^3 + ...... + 9^9 is divided by 6?

(1) 0
(2) 3
(3) 4
(4) None of these
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If your mind can conceive it and your heart can believe it, have faith that you can achieve it.

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Director
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 [#permalink]

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New post 06 May 2005, 07:13
Ans is 3.

the unit value is always going to be 9, so from 19 to 99 (which are the possible values of the 10 digits) can only have remainder 1, 3 or 5. since 1 and 5 are not in the answer choice, then 3 it is

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VP
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Re: PS - Remainder by 6 [#permalink]

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New post 06 May 2005, 07:25
christoph wrote:
What is the reminder when 9^1 + 9^2 + 9^3 + ...... + 9^9 is divided by 6?

(1) 0
(2) 3
(3) 4
(4) None of these


9/6 .....3

9^2 /6 .....3

9^3 /6 ......3
.....

so 9*9 /6 ....3

OA is B.

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Re: PS - Remainder by 6   [#permalink] 06 May 2005, 07:25
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What is the reminder when 9^1 + 9^2 + 9^3 + ...... + 9^9 is

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