Correct option is B
Let's match each High Court with its year of establishment:
A. Allahabad High Court: The High Court of Judicature for the North-Western Provinces (which later became the Allahabad High Court) was established in 1866.
B. Andhra Pradesh High Court: The Andhra State High Court was established in 1954, following the creation of the state of Andhra.
C. Bombay High Court: The Bombay High Court was established on August 14, 1862, under the Indian High Courts Act of 1861.
D. Patna High Court: The Patna High Court was established in 1916.
Based on these facts, the correct matches are:
A. Allahabad - III. 1866
B. Andhra Pradesh - IV. 1954
C. Bombay - II. 1862
D. Patna - I. 1916
Thus, the correct option is A-III, B-IV, C-II, D-I.