I ran many tests for my thesis, should I report tables and graphs for all of them?
The comments are correct when they say that it is absolutely wrong to try statistical tests until you find one that you like and then report just that one.  

That said, there's a little ambiguity in your phrasing


  Only one test was able to answer my question while the rest (3 tests)
  couldn't.


If they couldn't answer for some reason you can explain that's not simply "I didn't like the result" then you could discuss those  tests, explain why they were unsatisfactory, and perhaps provide the tables and graphs in some kind of supplement.

Whatever you do, you cannot just ignore them. You tried them and you must say so.

For all of this - talk to your advisor.