Question Bank Website

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On the surface this may seem simple but it's actually rather complicated.  At a minimum, you'll need the following:

1) a backend database to hold categories, QAs, session IDs, date & time, results, usernames and passwords,

2) a registration system for new users,

3) a secure log-in system for users and admins,

4) a backend content management system for adding/editing/deleting QAs and other administrative tasks,

5) programming to query database, randomize and display requested number of questions,

6) programming to save results, score results and optionally provide feedback to users,

7) front end coding to make it look presentable on all devices.

As I write this, I'm wondering if an existing e-learning/exam platform might be a better fit.  There's no sense re-inventing the wheel.

6 Open Source Exam Software & Assessment Platforms

12 Free/Open Source Exam & Assessment Softwares

The short answer is Dreamweaver can build it if you can code it.  So while you can make that in DW it would require coding expertise to do so.

My instinct says that you may need to look into a solution like Survey Monkey ( https://www.surveymonkey.com ) or TypeForm ( https://www.typeform.com ) for this, but I don't know about the randomization of questions from a bank as I haven't had much experience.  I would reach out to those companies and see if they can fulfill your need.