I entered the link provided, gave my name and password, opted for the seond link -- Password and Security -- clicked on that. It asks for the answers to my security questions. I have entered the correct answers (2 of which are very obvious to me -- my first pet and childhood nickname) and am being told they are incorrect.
There was no option to reset my security questions.
I spoke with someone from Apple who said he would verify my account using two of three means. 1) He sent a passcode to one of my devices which I repeated to him. Good. 2) He asked for a credit card on my account -- I don't have one. Strike. 3) He asked for my security questions. I gave him my answers and he told me they were wrong -- which is the problem to begin with! I am now locked out of my account for 8 hours.