Answer should be N/2


#1

The answer to the question “do you think you are a good processor is always yes?” as a good processor will tell the truth and say yes and a bad one will lie and say yes.
so if you arrange n processors and ask the ith processor “if I ask the (i+1)th processor are you good?”, a good processor will always reply yes and a bad one will always reply no.
so if you start asking the processors from 1 to n label the processor that replies no as bad and yes as good, so for the worst case n/2 questions as required.


#2

The point here is you can only ask “whether it thinks another processor is good or bad”