Solve the following problems:

Question $1.(10$ points$)$ Let Array $A[1$:$80]=51,52,$dots.,$119,130.$ How many element comparisons are performed by Algorithm BINARYSEARCH when searching for the following values of $x?$ You need to show how you get your final answer.

$($a$)20$

$($b$)57$

$($c$)150$