To answer this question, you need to have knowledge about the history and royal dynasties associated with Bangalore.
Option A) Scindia - This option is incorrect. The Scindia dynasty is associated with Gwalior and not Bangalore.
Option B) Wodeyar - This option is correct. The Wodeyar dynasty owned the Bangalore Palace. The palace was built in 1887 by the Wodeyar king, Chamaraja Wodeyar.
Option C) Peshwa - This option is incorrect. The Peshwa dynasty was associated with the Maratha Empire and not with Bangalore.
Option D) Holkar - This option is incorrect. The Holkar dynasty was associated with Indore and not with Bangalore.
The correct answer is B) Wodeyar. This option is correct because the Wodeyar dynasty owned the Bangalore Palace.