The valid example of paternalism among the provided statements is:
The British government only allowed British officials, not trained Indians, to hold positions in government.
Paternalism in this context refers to a policy or practice where one group (in this case, the British government) restricts the freedoms and responsibilities of another group (the Indians) under the justification of providing for their needs, similar to how a parent might treat a child. By only allowing British officials to hold positions of power, the British government is asserting that the local population is not capable of governing themselves, which is a key characteristic of paternalism.