If N = 9^21 + 1, what is the remainder when N is divided by 8?

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15 Feb 2022 Number System

If N = 9^21 + 1, what is the remainder when N is divided by 8?

OPtion

1) 7
2) 4
3) 0
4) 1
5) 2
6) 5
7) 6
8) 3
9) 9
10) None of these

Solution

9^21 = (8+1)^21 will give remainder 1 when divided by 8
So, 9^21 + 1 will give 1+1 = 2 as remainder.

Correct Option: 5 Best Solution (0)