I think of three word replies as placeholders. People who are too busy talking to other people to actually reply to me. I want people to be interested, and interesting, otherwise what's the point.
I ask : so, what's the worst joke you can remember. What's the last film you went to see? Where did you last go on holiday. Do you have kids?
Sometimes I'll fire five questions in one go : red wine or white. Favourite character from game of thrones. Dogs or cats. Do you like your job and why. What would you do third if you won the lottery?
Rapid fire questions either confuse people (who I wouldn't want to get in a conversation with) or get them enthused and chatty. And they ask me the same back, and then we fire questions back and forth, getting more challenging.
At least, those who are interesting do that. Others give bland answers and they're not interesting to chat to, so I drop and move on.
I want to meet someone interesting and imaginative and enthusiastic about talking about random crap, so this works for me.