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What is the remainder when 729+47^{29}+ 4729+4​ is divided by 6?
Question

What is the remainder when 729+47^{29}+ 4​ is divided by 6?

A.

3

B.

7

C.

5

D.

1

Correct option is C

Given:

Number 729+47^{29}+4​ to be divided by 6

Solution:

When 7 is divided by 6, the remainder is 1

The number 729+47^{29}+4 can be written as  (1)29+4(1)^{29}+4​​

=(1)29+46= \frac{(1)^{29}+4}{6}​​

=1+46=\frac{1+4}{6}

=56= \frac{5}{6}​​

Hence remainder is 5

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