A lateral thinking puzzle is basically a cross between a puzzle, and story-telling. I'll type a scenario, but I won't give the whole story. What you're supposed to do is ask "yes" or "no" questions to gain clues to solve the rest of the story.
Though, I should warn you that most of these puzzles are morbid and unlikely-- but they're still realistic. I won't give any answer other than "yes", "no", or "doesn't matter". They'll all be honest answers, but I won't promise that they can't be misleading. If you can solve it with the information you have, go for it and type what you think the answer is. When at least 5 people want to give up, I'll ask if you want me to give you the answer.
EDIT: If you've done the current puzzle, before, don't spoil the answer to those who haven't.
EDIT II: You can ask as many questions as you want at a time.
I'm going to start off with the easiest scenario I can think of, and see if you guys are interested in playing. Here goes.
A man is lying dead on the floor. The room he's in is locked from the inside. Beneath him is a pool of blood and water. How did he die?
Example question and answer: Was the room empty? Yes.