Final answer:
Option C, 'What are your favorite foods?', is the most likely to encourage conversation because it allows the resident to share more detailed information and preferences, fostering a more engaging dialogue.
Step-by-step explanation:
The question likely to encourage conversation with the resident is C) What are your favorite foods?. Open-ended questions like this one provide an opportunity for the individual to share more about their preferences and experiences. This contrasts with the other options, which are more closed-ended and likely to result in a simple yes or no answer. Engaging in a collaborative exercise or a discussion on personal likes or hobbies often leads to more extensive conversations.