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If n is an integer > 0 what is

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If n is an integer > 0 what is [#permalink] New post 03 Jun 2018, 07:25
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If n is an integer > 0 what is the remainder when \(9^1^2^n^ +^3\) is divided by 10?

src: Orbit Test Prep

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Re: If n is an integer > 0 what is [#permalink] New post 04 Jun 2018, 07:36
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Approach :

Cyclicity of 9
9 ^1= 9
9^2= 81
9^3= 729 and so on.
hence, 9^even gives unit digit 1 while 9^odd gives unit digit 9.

Therefore,
9^(12n+3) shall give 9^odd digit with n as any integer > 0
Hence, Numerator shall have value 9 as unit digit which when divided by 10 shall give remainder 9.
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Re: If n is an integer > 0 what is [#permalink] New post 05 Jun 2018, 00:43
Good one!
Re: If n is an integer > 0 what is   [#permalink] 05 Jun 2018, 00:43
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If n is an integer > 0 what is

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