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Fractional part of the number (3^(102))...

Fractional part of the number `(3^(102))/(40)` is :

A

`1/40`

B

`3/40`

C

`9/40`

D

`1/10`

Text Solution

Verified by Experts

The correct Answer is:
C

`3^(102) = 3^(100) xx 9 xx (3^4)^(25) xx 9 = (80 + 1)^(25) xx 9 = 80 k + 9` .
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