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# What is the remainder when 4^96 is divided by 6 ? (2003)

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### What is the remainder when 496 is divided by 6 ? [CAT, 2003]

#### a= bq+r, o≤ r<b, where

Practically, this means If I say, I want to divide a number by 6 then the remainder will always be less than 6, i.e., 0, 1, 2, 3, 4, 5.

Sample solution: Notice, when the exponent is even, the remainder, is 1. But when the exponent is odd, the remainder is 2. This happens in some cases.

#### Hence, the answer is 4 and the option (d) is correct.

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