Question and Answer verification plugin

I have a database with customer name and previous products they purchased.
I want to have a section of the website that customers can access by answering a question such as:

“What is your name?
and
In the previous year, which of these products have you purchased from us?
(radio button) apple device
(radio button) android device
(radio button) windows device”

They would select the answer. If that name and product matched what was in the database they could access a certain area of the site to submit feedback or edit certain profile information.

I realize this isn’t secure. That isn’t my concern. The information that would be accessed would not be sensitive in nature. I just want a method for people to verify they are in fact a customer by answering a question and not some random none customer or bot trying to access certain areas of the site. I am trying to avoid people having to register for a username/password to access this area.

Is there any such plug in that would make this “question and answer verification” possible?

PS: I looked at plugins like this: http://www.flippercode.com/product/wp-security-questions/

but it doesn’t appear it can set up multiple choice options? I need this to be multiple choice options. Also this works in addition to login. I want to avoid having username login.