Which one of the following may be treated at home, using routine treatment?

A minor cut can typically be treated at home using routine treatment. This involves cleaning the cut with mild soap and water, applying an antiseptic to prevent infection, and covering it with a sterile bandage. Minor cuts usually do not pose a serious health risk and can heal effectively with proper at-home care.

In contrast, other options present more serious situations that require professional medical attention. An infection of an injury indicates underlying issues that may not be manageable without a healthcare provider's intervention, as infections can worsen if not treated appropriately. Choking on food is a critical situation that demands immediate attention, often requiring first aid or intervention to clear the airway. Uncontrolled bleeding is an emergency that requires immediate medical help, as it can lead to shock or other severe complications. Thus, the best answer is indeed a minor cut, as it is the only situation typically manageable at home.