Explanation:

- Statement I: Mahapadma Nanda was the ruler of the Magadha Empire. He is often recognized as the founder of the Nanda Dynasty, which ruled Magadha.

- Statement II: Ajatasattu was not a ruler of the Maurya Empire; he was actually a ruler of the Haryanka Dynasty of the Magadha Empire. He was the son of King Bimbisara.

- Option 1, Only I: Correct - Mahapadma Nanda belonged to the Magadha Empire.

- Option 2, Both I and II: Incorrect - Only Mahapadma Nanda is correctly matched.

- Option 3, Neither I nor II: Incorrect - Mahapadma Nanda is correctly matched.

- Option 4, Only II: Incorrect - Ajatasattu is not matched with the Maurya Empire.

Answer: Option 1 - Only I