when n is divided by 4, the remainder is 3. what is the remainder when 2n is divided by 4 ?
Answer Explanation
Let us say that the number = n it is divided by 4 and the remainder = 3 n = 4k + 3 (1)
Multiply this equation by 2 2n = 8k + 6 We have to divide 2n by 4 2n/4 = (8k+ 6)/4 now 8k is completely divisible by 4 SO remainder would be Re(6/4) = 2 Thus when 2n is divided by 4 , the remainder = 2 .
