Explanation:

- Statement I: Robert Clive came to Madras from England in 1743 at the age of 18.

- *Explanation:* This statement is correct. Clive first arrived in India in 1743 and joined the East India Company as a clerk in Madras at the age of 18.

- Statement II: After the Battle of Buxar, the East India Company appointed Residents in Indian states.

- *Explanation:* This is also correct. The Battle of Buxar in 1764 was decisive for the East India Company, leading them to enforce political control and strategically place Residents in various Indian courts to exert influence.

- Option 1: Only I

- Incorrect. Both statements are correct.

- Option 2: Neither I nor II

- Incorrect. Both statements are accurate.

- Option 3: Only II

- Incorrect. Both statements are true.

- Option 4: Both I and II

- This option is correct as both statements are true.