Correct Option (d):
Assertion (A) states that British sovereignty continued to exist in free India. This statement is false. The Indian Independence Act, 1947, marked the end of British paramountcy and sovereignty over India. From August 15, 1947, India became an independent dominion, with its own sovereign government. While India remained a member of the British Commonwealth and acknowledged the British Monarch as its symbolic head until it became a republic in 1950, this did not constitute a continuation of British sovereignty over India's internal or external affairs.
Reason (R) states that the British sovereign appointed the last Governor General of free India. This statement is true. After India gained independence, the Governor-General of India continued to be formally appointed by the British Monarch (King George VI) on the advice of the Indian Cabinet. C. Rajagopalachari served as the last Governor-General of India from 1948 to 1950. His appointment, like that of Lord Mountbatten before him, was formally made by the British sovereign, acting on the recommendation of the Indian government. This arrangement persisted until India adopted its Constitution and became a republic on January 26, 1950.
Incorrect Options:
- Options (a) and (b) are incorrect because Assertion (A) is false. British sovereignty did not continue in free India.
- Option (c) is incorrect because Assertion (A) is false, and Reason (R) is true.