When ( 11111 + 5 11111 ) is divided by 4, what is the remainder? Options: A . &nbsp 0 B . &nbsp 1 C . &nbsp 2 D . &nbsp 3

Answer: Option A : A ( 11111 ) 4 + 5 11111 4 = 3 4 + ( 4 + 1 ) 11111 4 = 3 4 + 1 4 = 4 4 . Thus the required remainder is 0.

When (11111+511111) is divided by 4, what is the remainder?

Question

When $(11111 + 5^{11111})$ is divided by 4, what is the remainder?

Options:

A . 0

B . 1

C . 2

D . 3

Answer: Option A
:
A

$\frac{(11111)}{4} + \frac{5^{11111}}{4} = \frac{3}{4} + \frac{(4 + 1)^{11111}}{4} = \frac{3}{4} + \frac{1}{4} = \frac{4}{4} .$ Thus the required remainder is 0.

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