If you would like to drive additional traffic to your application, I would recommend integrating a Facebook application. People browsing there Facebook News Feed enjoy seeing the responses of others. Maybe you could update their status with some statistics. You could also make users invite their Facebook friends to try out the application.
You could also show what their friends answered on the application page, if they have signed in using their Facebook account.
This could also be a cool feature, you could classify the person by a certain characteristic. Example, depending on the users answers, you could display the users personality. They could be categorized as Artistic, Logical, Funny, Nerdy etc. You could also change the background style of the application depending on their personality.
These are just a few ideas that came to mind,
Good luck!
Karl