If you get the question wrong, it will lower your star-rating at the end of the case, and it might cause you to miss a clue, which will also lower your star-rating. It won't prevent you from completing the case--it will just lower your score. If you need help with the questions, you can follow the guides here: http://www.sleeandtopher.com/gaming/guides/la-noire-case-guides/
