The Bhauma-Kara dynasty ruled over parts of Odisha during the: *

The correct answer is: c) 12th-13th centuries CE.

The Bhauma-Kara dynasty was a Hindu dynasty that ruled over parts of Odisha in eastern India from the 12th to the 14th centuries. The dynasty was founded by Narasimha I, who conquered the region from the Somavamshi dynasty. The Bhauma-Karas were known for their patronage of art and architecture, and they built many temples and other monuments in Odisha. The dynasty came to an end in the 14th century, when it was overthrown by the Ganga dynasty.

The other options are incorrect. The 5th-6th centuries CE was the time of the Shailodbhava dynasty, the 8th-9th centuries CE was the time of the Somavamshi dynasty, and the 15th-16th centuries CE was the time of the Gajapati dynasty.