It's amazing: a website will make me choose an 8-character (but not more than 14!) password with a number, a symbol, and at least one capital and one lowercase letter, but then it will let anyone who knows my birthday and favorite color change that password to whatever they like.
(Obviously, I can opt out of this feature by typing gibberish into those answer fields, but do you think your grandfather will think to do that?)
One variation that I know of that you can't opt out of it is on some banks' two-factor authentication, where they have you log in by answering a security question first, and then entering your password once you get the question right. The great thing about this is that it makes the bank an easy test-ground for guessing your security questions to use on other sites.