In the aircraft propellers

the propulsive matter is ejected from within the propelled body
the propulsive matter is caused to flow around the propelled body
its functioning does not depend upon the presence of air
none of the above
✅ The correct answer is option A.

The assumption made in two stage compression with intercooler is that

there is no pressure drop in the intercooler
the compression in both the cylinders is polytropic
the suction and delivery of air takes place at constant pressure
all of the above
✅ The correct answer is option D.