What is the reminder when 9^1 + 9^2 + 9^3 + ...... + 9^9 is : PS Archive
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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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06 May 2005, 05:45
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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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Director
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06 May 2005, 06:13
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
VP
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Re: PS - Remainder by 6 [#permalink]

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06 May 2005, 06:25
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.
Re: PS - Remainder by 6   [#permalink] 06 May 2005, 06:25
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