The question asks about the authority responsible for the superintendence, direction, and control over the elections of the President and Vice President of India. Let's analyze the options:
- The Comptroller General of India: This role primarily focuses on auditing government expenditure and does not have jurisdiction over elections.
- The Attorney General of India: This is the chief legal advisor to the Government of India and does not play a role in election processes.
- The Election Commission of India: This is an autonomous constitutional authority responsible for managing elections in India, including those for the President and Vice President.
- The Finance Commission of India: This body deals with financial relations between the central government and the states, unrelated to elections.
Based on the analysis above, the Election Commission of India is the correct answer. It has the constitutional authority to conduct, supervise, and control elections to ensure they are free and fair.