Explanation:

Rat-hole mining is a controversial and often illegal method of coal extraction, predominantly practiced in the state of Meghalaya, India. Cherrapunji (now Sohra) is a town in Meghalaya, historically associated with this mining technique due to its rich coal deposits. Therefore, option A is correct. Option B, Durg, is located in Chhattisgarh and is known for its iron ore mines, not rat-hole coal mining. Option C, Bastar, also in Chhattisgarh, is known for various minerals but not specifically rat-hole mining. Option D, Chikamangalur, is in Karnataka and is famous for its coffee plantations and iron ore, not rat-hole mining. Hence, B, C, and D are incorrect.