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