Base your questions on the different options available to your customers and their possible needs.
You have complete control over what products are recommended. You can taylor your recommendations towards products with higher margins or that you want to clear.
Show first time visitors an overlay with a link to your quiz.
Add a prominent link to your quiz in your main site navigation.
Share your quiz with customers in your newsletter.
Customers quickly abandon shopping if faced with too many options or if uncertain of what to buy. Recommendations make customers feel more confident in their choices and less likely to leave empty handed.
Offer discounts and promotions to customers that buy your recommendation.
All the analytics you need about your quiz are available from the quiz's dashboard.