Find the remainder when 9400+9401+9402..........9410is divided by 6?

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Question

Find the remainder when

9^{400} + 9^{401} + 9^{402} . . . . . . . . . . 9^{410}

is divided by 6?

Options:

A . 0

B . 1

C . 3

D . 2

Answer: Option C
:
C
Any power of 9 when divided by 6, gives a remainder 3. hence answer

= \frac{11 \times 3}{6}

((As there are 11 terms)

= \frac{33}{6}

= remainder =3

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