The question asks about the reasons behind the rebellions in the hill region of Visakhapatnam, specifically the Gudem area, against the British authorities. We need to evaluate the options to determine which reasons were significant causes for these uprisings.

Let's analyze the given options:

1. The feudal affinities of the muttadars with the Bhupathi family of Golconda zamindari: The muttadars were local chieftains in the hill tracts who played a crucial role in local governance under indirect British control. Their alignment or allegiance with local zamindari families, like the Bhupathi family, could have prompted a sense of resistance or rebellion against British policies. Therefore, this is a plausible cause of the uprisings.
2. Placing the ex-zamindari family on the seat of Golconda: This option suggests a political maneuver by the British; however, it is not commonly recorded as a direct catalyst for the rebellions in the Gudem area.
3. British authorities' refusal to grant annual maintenance for the Bhupathi family: This factor signifies economic grievances. The refusal to grant maintenance could have led to financial distress among the ruling elite and their dependents, prompting resistance against the British authorities, which is a valid reason.

By analyzing the options, we can conclude that Option 1 and Option 3 are both viable reasons for the uprisings, while Option 2 does not have a direct connection with the frequent rebellions known in the area. Therefore, the correct answer is indeed 1 and 3.