Answer: Option B
The Bahmanis of the Deccan was a Muslim dynasty that ruled parts of present-day South India from 1347 CE to 1527 CE. They rose to prominence in the 14th century, particularly in the year 1347, when the first ruler of the dynasty, Alauddin Hasan Bahman Shah, declared his independence from the Delhi Sultanate.
The Bahmanis were a significant power in the Deccan region of South India during the 14th, 15th, and early 16th centuries. The dynasty was founded by Hasan Bahman Shah, who was a governor of the Delhi Sultanate. After declaring his independence, Hasan Bahman Shah established a capital at Gulbarga in present-day Karnataka.
Some of the key features of the Bahmani dynasty are as follows:

• The Bahmanis were a Shia Muslim dynasty that ruled over a predominantly Hindu population.
• They were known for their tolerance of different religions and cultures.
• They encouraged the growth of arts, literature, and architecture.
• The Bahmanis were involved in several wars with neighboring kingdoms, particularly the Vijayanagara Empire.

In conclusion, the Bahmanis of the Deccan rose to prominence in the 14th century. They were a significant power in South India during the 14th, 15th, and early 16th centuries and left a lasting impact on the region's culture, art, and architecture.