Explanation:

- Option 1: 1727 – ? The Regulating Act was not passed in this year. British administration in India was not formally restructured at this time.

- Option 2: 1737 – ? No significant changes regarding the Governor-General of India happened in this year.

- Option 3: 1772 – ? Warren Hastings became Governor of Bengal in 1772, but the Regulating Act did not appoint him Governor-General then.

- Option 4: 1773 – The Regulating Act of 1773 officially made Warren Hastings the first Governor-General of Bengal, marking a major change in British administration in India.

Correct Answer: 1773