Must a tutorial TA resolve any questions from the students?
My job as an instructor is to help the students learn, and I try to do so to the best of my abilities.


If a student is asking very basic questions (don't call them lame ever), help them to get up to speed pointing at some reading. You should pay attention to this, since for every student that asks questions, there may be several silent ones, and it may be an indication that the cohort is missing some knowledge your course is assuming.
If they ask questions for which they know the answer, but are unsure, teach them how to validate and verify their answers.
If they ask every little step of the way, the Socratic method is an option: ask questions back, make them work for the answers. But make them helpful: use them to guide the student towards the answer.
The students that just ask very many questions, just get lower priority, since I have to take care of the whole group, but I do still help them.
Questions that are off topic can be either gently shot down and redirected, or quickly point them at some references. If you find the question particularly interesting, you can offer to give more details after class. Make sure they don't get lost in the sidetracks, though.


In general, the goal should be to try to make yourself redundant by teaching them how to not need you you. This is never going to actually happen, but it is a worthy sky to look up to.