If N is divided by 9 then the remainder is 5, what will be the remainder if N is divided by 3If N is divided by 9 then the remainder is 5, what will be the remainder if N is divided by 3

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Solution

Given : If N is divided by 9 then the remainder is 5.
Let N = 9m + 5 = 3 Ã— 3m + 3 + 2 = 3(3m + 1) + 2
Hence, when N is divided by 3 the remainder is 2.

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