The district bordering the state of Andhra Pradesh:

Kolar
Ballari
Chitradurga
Tumakuru

The correct answer is: B) Ballari

Ballari district is one of the 30 districts of Karnataka state in southern India. It is located in the northern part of the state, bordering the state of Andhra Pradesh. The district headquarters is the city of Ballari.

Ballari district is a major mining district in Karnataka. The district is known for its iron ore reserves. The district is also home to a number of industries, including steel, cement, and power generation.

Ballari district is a popular tourist destination. The district is home to a number of historical and religious sites, including the Hampi ruins, the Virupaksha Temple, and the Pattadakal Temple.

The other options are incorrect because they are not districts that border the state of Andhra Pradesh.

A) Kolar district is located in the southern part of Karnataka state. It does not border the state of Andhra Pradesh.

C) Chitradurga district is located in the central part of Karnataka state. It does not border the state of Andhra Pradesh.

D) Tumakuru district is located in the southern part of Karnataka state. It does not border the state of Andhra Pradesh.