The district headquarters of Kadapa district is located in:

Rayachoti
Proddatur
Kadapa
Pulivendula

The correct answer is (c). Kadapa is the district headquarters of Kadapa district. It is a city in the Indian state of Andhra Pradesh. It is the headquarters of Kadapa district and the division of Rayalaseema. It is located on the banks of the Penna River, about 300 kilometers (190 mi) northwest of Hyderabad, the state capital. The city has a population of about 350,000 people.

Rayachoti is a town in Kadapa district, Andhra Pradesh, India. It is the headquarters of Rayachoti mandal in Rayachoti revenue division. The town is located on the banks of the Penna River, about 200 kilometers (120 mi) northwest of Hyderabad, the state capital. The town has a population of about 100,000 people.

Proddatur is a town in Kadapa district, Andhra Pradesh, India. It is the headquarters of Proddatur mandal in Proddatur revenue division. The town is located on the banks of the Penna River, about 150 kilometers (93 mi) northwest of Hyderabad, the state capital. The town has a population of about 75,000 people.

Pulivendula is a town in Kadapa district, Andhra Pradesh, India. It is the headquarters of Pulivendula mandal in Pulivendula revenue division. The town is located on the banks of the Penna River, about 100 kilometers (62 mi) northwest of Hyderabad, the state capital. The town has a population of about 50,000 people.