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Re: What is the remainder when 11^452 is divided by 6 [#permalink]

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05 Jul 2017, 10:45

sriamlan wrote:

sriamlan wrote:

What is the remainder when \(11^{452}\) is divided by 6.

(A) 1 (B) 2 (C) 3 (D) 4 (E) 5

Experts my doubt here is - The cyclicity of power of 11 when divided by 6 is 5,4,3,2,1,0

So if we divide 452 by 6 remainder is 2

So as 2 is the remainder as per the cyclicity should not 4 be the answer instead of 1?

Not sure if i can clear your doubt. You can look at the problem like when 11/6 then remainder is 5, when 11^2/6 then remainder is 1. Now you have 11^452 which is 11^even power so remainder will be 1.