1) What does your character find funny?
The problem with this question is that I'm not sure that I could describe what
I find funny, much less invent a description of what someone else finds funny.
2) What is your character's greatest fear?
Likewise, while I could list a few things I'm afraid of, I'm not sure I even know what my own greatest fear is. I'm afraid that any answer I imagined for someone else would be, compared to a real person, too simple. I would consider simply having a clear cut 'greatest fear' to be a character defining trait, but not a trait necessarily shared by everyone. Not everyone has a fear that so stands out from the rest of their fears as to be a distinguishing and obvious feature.
3) What is your character's favorite dish?
Again, I'm not sure that I can answer this question with any clarity about myself, as the answer to the question depends on my mood, what I've eaten recently, the time of year, and so forth.
Personally, I think this is the kind of question that I think could be better summed up as, "Does you character have any notable quirks: for example, a slight phobia, a favorite dish, an obcession with a particular sort of humor, a favorite color, a lucky charm, a notable habit, a fondness for collecting some item, etc." Not everyone is going to possess any of these particular traits to a strong degree, but if they do possess it to a strong degree, then it will likely be noticable and character defining.