Question

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

• A. 0
• B. 1
• C. 2
• D. 3

Answer 1

The correct option is A 0

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