The correct answer is option 3 - Karwar.

In this question, we are asked about the location of the only operational Naval Base exclusively controlled by the Indian Navy. Let`s analyze each option to understand why option 3 is the correct answer.

Option 1 - Puducherry: Puducherry is a Union Territory in India, but it does not have an operational Naval Base controlled by the Indian Navy.

Option 2 - Okha: Okha is a town situated in Gujarat, India, but it also does not have an operational Naval Base exclusively controlled by the Indian Navy.

Option 3 - Karwar: The naval base at Karwar, located in Karnataka, is indeed the only operational Naval Base controlled solely by the Indian Navy. It was commissioned in 2005 and is strategically located along the Arabian Sea coast.

Option 4 - Kakinada: Kakinada is a port city in Andhra Pradesh, India. However, it does not have an operational Naval Base exclusively controlled by the Indian Navy.

In conclusion, option 3 - Karwar is the correct answer as it is the only operational Naval Base exclusively controlled by the Indian Navy.