Question

How did Frederick William I gain the loyalty of the Prussian

Answer 1

The correct answer to this open question is the following.

Although no options were provided, we can say the following.

Frederick William I gained the loyalty of the Prussian nobles because he gave them positions in the Prussian government and the military.

That was his way of getting loyalty and service to him. Frederick William I, King of Prussia from 1713 to 1740, knew that the nobles or Junkers (as they were known in that time) had ambitions and were full of greed, control, and power. So the best way to align them to his crown was to offer them positions of power and influence.

These have been the classic methods used by absolutists governments to "buy" the loyalty form wealthy families or even, the opposite factions of a government. The history of the European kingdoms was full of these situations.