n is a whole number which when divided by 4 gives 3 as remainder. What will be the remainder when 2n is divided by 4?

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Accepted Answer

Let n = 4 q + 3. Then 2 n = 8 q + 6 = 4(2 q + 1 ) + 2. Thus, when 2n is divided by 4, the remainder is 2.

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