You didn't even read the wiki entry you were just linked to, did you? If you'd so much as glanced at it, you'd have seen that there was no "troll plot" beyond Quirrell using a troll as a distraction to allow him to try to get the Philosopher's Stone.

If you'd further gone on to use said wiki to refresh your memory, you'd have found that there was no RPG made by Dumbledore - there was a chess game, made by McGonagall, and later the Mirror of Erised, placed by Dumbledore. The puzzle Hermione solved, meanwhile, was logic rather than mathematics.

I very strongly suggest that you abstain from further discussion until you've used the wiki (or the books) to remind yourself what really happens in canon.