The correct answer is option A) 1862.

Explanation:
The establishment of High Courts in India is closely linked to the British rule and the judicial reforms that took place during that period. Here is a detailed explanation of the establishment of High Courts in India:

1. Introduction of the Regulating Act of 1773:
The Regulating Act of 1773 was the first step towards establishing a centralized judicial system in British India. It established the Supreme Court at Fort William in Calcutta (now Kolkata) to administer justice and to hear appeals from the Company's courts in India.

2. Charter Act of 1861:
The Charter Act of 1861 transferred the powers of the Supreme Court to the High Courts and abolished the Supreme Court in Calcutta, Madras, and Bombay. It also provided for the establishment of High Courts in other provinces.

3. Establishment of High Courts:
a) Calcutta High Court: The Calcutta High Court was the first High Court to be established in India. It was established on July 1, 1862, under the High Courts Act, 1861, which was enacted as a result of the Charter Act of 1861. The Calcutta High Court has original, appellate, and extraordinary jurisdiction.

b) Bombay High Court: The Bombay High Court was established on August 14, 1862, under the High Courts Act, 1861. It exercises original and appellate jurisdiction over the state of Maharashtra, Goa, and the Union Territories of Daman and Diu and Dadra and Nagar Haveli.

c) Madras High Court: The Madras High Court was established on July 15, 1862, under the High Courts Act, 1861. It has original and appellate jurisdiction over the state of Tamil Nadu, Puducherry, and Andaman and Nicobar Islands.

4. Expansion of High Courts:
After the initial establishment of High Courts in Calcutta, Bombay, and Madras, several other High Courts were established in different provinces of British India. The Punjab High Court was established in 1919, Allahabad High Court in 1866, Lahore High Court in 1919, and so on.

In conclusion, the High Courts were first established in India in the year 1862. The Calcutta, Bombay, and Madras High Courts were the first ones to be established, followed by the establishment of High Courts in other provinces of British India.