Islam was introduced in Telangana during the rule of the:

Khalji Dynasty
Qutb Shahi Dynasty
Tughlaq Dynasty
Bahmani Sultanate

The correct answer is: D) Bahmani Sultanate.

The Bahmani Sultanate was a Muslim sultanate that ruled over the Deccan Plateau in India from 1347 to 1518. It was founded by Alauddin Bahman Shah, a former general of the Delhi Sultanate. The Bahmani Sultanate was a major power in the Deccan and played a significant role in the spread of Islam in the region.

The Khalji Dynasty was a Muslim dynasty that ruled over the Delhi Sultanate from 1290 to 1320. It was founded by Jalaluddin Khalji, a former general of the Delhi Sultanate. The Khalji Dynasty was a powerful and aggressive dynasty that expanded the territory of the Delhi Sultanate significantly.

The Tughlaq Dynasty was a Muslim dynasty that ruled over the Delhi Sultanate from 1320 to 1414. It was founded by Ghiyasuddin Tughlaq, a former general of the Khalji Dynasty. The Tughlaq Dynasty was a powerful and ambitious dynasty that attempted to expand the territory of the Delhi Sultanate even further than the Khaljis had done. However, the Tughlaq Dynasty was also a troubled dynasty that was plagued by internal conflicts and rebellions.

The Qutb Shahi Dynasty was a Muslim dynasty that ruled over the Deccan Plateau in India from 1518 to 1687. It was founded by Quli Qutb Shah, a former general of the Bahmani Sultanate. The Qutb Shahi Dynasty was a major power in the Deccan and played a significant role in the spread of Islam in the region.

In conclusion, the correct answer is: D) Bahmani Sultanate. The Bahmani Sultanate was a Muslim sultanate that ruled over the Deccan Plateau in India from 1347 to 1518. It was founded by Alauddin Bahman Shah, a former general of the Delhi Sultanate. The Bahmani Sultanate was a major power in the Deccan and played a significant role in the spread of Islam in the region.