In which of the following cases, is work being done?

 A girl is climbing up the staircase in this case work is done 

A boy pushing a wall doesn't cause the wall to move. So, there was no work done.

 For a coolie wearing a load on his head, the force the coolie applies is vertically upward and works against gravity. Additionally, the load is being moved horizontally forward. As a result, the force and the displacement are parallel. This implies that there was no work done.

 In a similar way, when a student holds a book in his hands, there is no displacement because there is no force acting against gravity. Therefore, there was no work done.

When a girl climbs stairs, she applies force against gravity and moves higher as well, i.e. in the force's direction. So work is done here