(a) A man pushes a wall. — No
Reason: There is no displacement of the wall, so no work is done.
(b) A coolie stands with a box on his head for 15 minutes. — No
Reason: The coolie is not moving, so there is no displacement.
(c) A boy climbs up 20 stairs. — Yes
Reason: There is displacement in the direction of force (against gravity), so work is done.