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If the fractional part of the number (2^...

If the fractional part of the number `(2^(403))/(15)` is `(k)/(15)` then k is equal to

A

4

B

8

C

14

D

6

Text Solution

Verified by Experts

The correct Answer is:
B
`2^(400)=(15+1)^(100)=15n+1` for some `n epsilon N`
`2^(403)=8(15n+1)=120n+8=120n+8`
Hence `(2^(403))/15=8n+8/15`
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