Which type of motor is most likely to have an armature brake?

The correct choice is the landing light retraction motor, which is most likely to have an armature brake. This type of motor operates under conditions where precise control of the motor's position is critical. An armature brake can provide a quick response to stop the motor effectively, ensuring that the landing lights are properly stowed or deployed at the correct angles during operation and retraction.

In the aviation context specifically, the retraction of landing lights must be executed swiftly and reliably to ensure safety and aerodynamic efficiency. The use of an armature brake helps maintain the motor's position without the risk of drift after the command is given to stop, which is particularly important when the aircraft is in flight or preparing for landing.

Other types of motors mentioned, such as those used for fuel pumps, air conditioning compressors, or starter motors, typically do not require such immediate positional control, and their operational mechanisms focus more on continuous rotation or engagement. Thus, they are less likely to incorporate an armature brake function.