Correct Option
The Kolkata High Court (formerly Calcutta High Court) exercises territorial jurisdiction over the Andaman and Nicobar Islands. This jurisdiction was established and extended under the Calcutta High Court (Extension of Jurisdiction to the Andaman and Nicobar Islands) Act, 1953. As a Union Territory, the Andaman and Nicobar Islands fall under the judicial purview of the Kolkata High Court, facilitating access to justice for its residents.
Incorrect Options
Options (a) Andhra Pradesh, (c) Chennai, and (d) Orissa are incorrect. These High Courts do not possess territorial or extended jurisdiction over the Andaman and Nicobar Islands. The judicial administration for this Union Territory is exclusively handled by the Kolkata High Court.