The district famous for the Gol Gumbaz monument:

Bidar
Vijayapura
Belagavi
Ballari

The correct answer is A) Bidar.

Gol Gumbaz is a mausoleum located in Bidar, Karnataka, India. It was built by Muhammad Adil Shah, the fifth sultan of the Adil Shahi dynasty, in 1656. The monument is one of the largest domes in the world, and is known for its intricate architecture and acoustics.

Bidar is a city in the Indian state of Karnataka. It was once the capital of the Adil Shahi dynasty, and is home to many historical monuments, including the Gol Gumbaz. The city is also known for its textiles and handicrafts.

Vijayapura is a city in the Indian state of Karnataka. It was once the capital of the Vijayanagara Empire, and is home to many historical monuments, including the Hampi ruins. The city is also known for its silk sarees.

Belagavi is a city in the Indian state of Karnataka. It is the headquarters of the Belagavi district. The city is known for its historical monuments, including the Fort of Belgaum.

Ballari is a city in the Indian state of Karnataka. It is the headquarters of the Ballari district. The city is known for its iron ore mines.