Complete the collocation.

I met my professor yesterday and we _____ a long conversation about books and work.

had

The correct answer is had.

The collocation "had a conversation" means to talk to someone about something for a period of time. It is the most appropriate word to use in this context, as it conveys the meaning of the speaker and their professor talking about books and work for a long time.

The other options are not as appropriate.

• Did means to perform an action. This is not the right word to use, as it does not convey the same meaning as "had a conversation."
• Spoke means to say something in words. This is not the right word to use, as it does not convey the same meaning as "had a conversation."
• Talked means to have a conversation with someone. This is not the right word to use, as it is not as formal as "had a conversation."