Go to this link https://appleid.apple.com/cgi-bin/WebObjects/MyAppleId.woa/ and click on Reset your password. Give them your ID & you will recieve an email asking you to click on a link to reset your apple ID password. This will reset your password and allow you to recreate a new secruity question.
Underneath I listed step by step click directions on how to get your secret question reset through apple.com/support.
First go to www.apple.com/support
(click) Contact apple support
(click) Use express lane
(click)iTunes store account security
Fill out questions
(Click one of the contact options) Support options /email , chat now , or call me now
Have them reset your security question
If you do not know your password AND you do not know your security questions, you have to choose "send an email" when resetting your password through appleid.apple.com. After you receive the email and reset your password, you can return to appleid.apple.com, log in, and reset your security questions. expresslane.apple.com is also a great resource if you are unable to reset your security questions.
You can contact the Account Security team by following these steps:
Please navigate to:
iTunes > iTunes Store
Then for Topic choose
Account Management > Lost or Forgotten Apple ID password (any concerns regarding security questions also fall under this category)
You will be given the options to Talk to Apple Support Now or Call Apple Support Later, please choose the option that works best for you. If the hold time is long, you might only have the option to talk with them later.
If outside the US or Canada, and your country has Apple Phone Support, you must call and ask for The Account Security Team. They will then ask some secuirty questions. If resetting your Security Questions, you must have a Credit Card on file so they can reset your Password First, then they can help reset your secuirty questions.