1. See my User Tip for some help: Some Solutions for Resetting Forgotten Security Questions: Apple Support Communities.
2. Here are two different but direct methods:
a. Send Apple an email request at: Apple - Support - iTunes Store - Contact Us.
b. Call Apple Support in your country: Customer Service: Contacting Apple for support
3. For other queries about Apple ID see Frequently asked questions about Apple ID.
I forgot my security answers too, but i solved the problem.
i went to:
support (located at the top right corner of your screen next to the search bar)
itunes (click on the iTunes icon)
contact itunes support (the blue link under the picture of the people)
account management (click on it)
forgotten apple id security questions
(there may be a few more step but you should easily firgure it out)
they should give you a case number and call you as soon as you see your case number
when they call, wait for the option that allows you to talk to a real person (not a computer)
tell them why you called and that you would like to reset your security questions.
they should tell you what to do from there.
They were very friendly and helpful!
I would not suggest contacting customer service it was a dead end.