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# What is the remainder when 99^999999 is divided by 23?

Author Message
Director
Joined: 18 Jul 2018
Posts: 500
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
What is the remainder when 99^999999 is divided by 23?  [#permalink]

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13 Aug 2018, 23:33
1
00:00

Difficulty:

(N/A)

Question Stats:

33% (00:00) correct 67% (00:42) wrong based on 3 sessions

### HideShow timer Statistics

What is the remainder when $$99^{999999}$$ is divided by 23?

1) 0
2) 7
3) 9
4) 17
5) 22

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Joined: 25 Feb 2013
Posts: 1217
Location: India
GPA: 3.82
What is the remainder when 99^999999 is divided by 23?  [#permalink]

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14 Aug 2018, 09:37
Afc0892 wrote:
What is the remainder when $$99^{999999}$$ is divided by 23?

1) 0
2) 7
3) 9
4) 17
5) 22

This is a very popular question based on Euler theorem and I am not sure whether it comes under the scope of GMAT.

Bunuel can you check or may be provide an alternate solution
What is the remainder when 99^999999 is divided by 23? &nbs [#permalink] 14 Aug 2018, 09:37
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