This has always been pretty evident to me ever since I opened a Hotmail account 10 years ago. I always pick either questions only I really know the answer to or choose answers that are slightly misleading.
The only downfall is that sometimes I forget the answers, but I eventually get them right. :)
I read a tip, I don't remember where anymore sadly, about taking a key word from the question, adding some password-like string to it and calling that your answer.
So: "What is your pet's name?" n0tm4hp4s5w3rd-pets-name
and: "What street did you grow up on?" n0tm4hp4s5w3rd-street
You still have to remember an arbitrary string, it is SLIGHTLY more accessible than mashing randomly, and certainly more secure than putting the real answer.
The only downfall is that sometimes I forget the answers, but I eventually get them right. :)