In auto flight operation, if the FCU is not selected for control, what mode is the system not in?

When the Flight Control Unit (FCU) is not selected for control, the system would not be in Selected Mode. This mode requires the FCU to be actively engaged in setting specific parameters for altitude, speed, and vertical speed, allowing the pilot to handpick values for the autopilot to maintain. If the FCU isn't selected, it indicates that the pilot is not choosing these specific parameters, thus preventing the system from functioning in this mode.

Managed Mode, on the other hand, allows the aircraft to follow predetermined flight profiles automatically when selected, thus it can still operate without direct FCU input. Manual Mode is a state where pilots control the aircraft without the assistance of autopilot, and Automatic Mode refers to any automated system engagements. However, these options do not directly relate to the FCU's active engagement, making Selected Mode the clear choice since it depends explicitly on FCU input parameters.