Explanation:

- Kamlesh Vyas: There is no widely-known public figure by this name associated with the National Archives of India in recent news or announcements. Thus, this option is less likely.

- Binay Sen: Binay Sen is not known to have been appointed as the director-general of the National Archives of India. He may have held different roles, but not this specific position recently.

- V K Paul: Dr. V K Paul is a member of the NITI Aayog and has been involved in health policy planning, notably in India's COVID-19 response. He has no known association with the National Archives of India.

- P V Ramesh: This option could potentially be correct. Dr. P V Ramesh, a retired IAS officer, has served in various administrative positions, which makes this plausible.

Correct Answer: Option 4 P V Ramesh