Explanation
The odd one out in the given series is option C: Branding.
Transportation, Banishment, Exile are all forms of punishment where a person is forced to leave their home or their country and live somewhere else.
Transportation was a form of punishment where a convicted person was sent to a penal colony or a distant colony for life. Banishment involves forcing a person to leave a particular place, often their home or their country, as a form of punishment. Exile is the state of being barred from one's native country, typically for political or punitive reasons.
Branding, on the other hand, is not a form of punishment where a person is forced to leave their home or country. Branding is a form of punishment where a mark is burned onto a person's skin with a hot iron as a permanent means of identification or punishment. Therefore, branding is the odd one out in this series.
