Question $3$

$($a$)$ What is the time $15$ hours before $11$ p$.$m$.?$ Show your work to prove that

$($b$)$ Find the remainder when $2^{81}$ is divided by $17.$ Show your work.

$($c$)$ Find the value for each of the following. Show your work

i$.$ What is the smallest non$-$negative integer for $360$mod$13?$

ii$.$ What is the smallest non$-$negative integer for $-86$mod$10?$

$($d$)$ Compute the remainder of $3^{64}$ in the division by $67.$ Show your work