The reset option only shows if you have a verified rescue email address on your account (an additional/alternate email address is different), if you aren't getting the link on http://appleid.apple.com then you don't have one and you will have to contact Support in the country where you are (and which is therefore the country on your account) to get the questions reset - which is likely to be by phone as they need to confirm your id and that it's your account
Contacting Apple about account security : Contact Apple for help with Apple ID account security
If your country isn't on that page then try this form to contact Support : https://www.apple.com/emea/support/itunes/contact.html
When they've been reset you can then add a rescue email address for potential future use : About your Apple ID email addresses - Apple Support
Or if it's available in your country you could change to 2-step verification : Frequently asked questions about two-step verification for Apple ID