When may a motorized bicycle or moped be operated in a bicycle lane? Question When may a motorized bicycle or moped be operated in a bicycle lane? Answers Never. Motorized bicycles may never be used in bicycle lanes. Only when carrying a passenger. Only when authorized by local ordinance or law enforcement. Explanation Motorized bicycles and mopeds may be operated in bicycle lanes only if permitted by local ordinance or law enforcement. This questions appears in the following tests: California Motorcycle Practice Test 6