I'm curious if you've ultimately found your mentor's behavior to be a net positive, or net negative, in your career.
One of the engineers under me often expresses his discontent that I won't give him answers, either. I think he's more than able to get to those answers on his own, and that the value he'll derive from learning how to learn is vastly greater than the value of being able to complete his work faster. On the other hand, he's given me the feedback that the method is excessively socratic at best, and flat-out frustrating at worst.