We are not asked to leave our minds at the door when we enter into the Catholic Faith. We welcome questions and the effort to understand a little more.
There are some sound resources on the internet where most questions about the Catholic Faith have already been asked. These resources can be a great help to Catholics seeking to give a reason for their hope and for inquirers in general.
Two good quality sites recommended are:
Catholic Answers - Contains extensive answers to many questions from many inquirers; just use the onsite search engine to find what you are looking for.
WhyImCatholic - Contains great sharings from people who explain why they are Catholic.
Fr Robert Barron is an eloquent exponent of the Catholic Faith and speaks about reasonable Faith in this clip: