The day I started using Google is the day I became the laziest man on the planet.
It varies from game to game, as well from puzzle to puzzle in that game. For the most part, if i get to a point where i don't know what to do (meaning that i can't even find the puzzle or don't understand what the puzzle is asking for) then i go online to look up an answer. Like others have said in this topic, I find that the older i get, the less time i'll wait before i'll go online looking for an answer. On the last professor layton game, i did about 165 of the puzzles on my own, and looked up the last 5 (mainly sliding puzzles near the end)
When I talk myself into the mindset that "Ok, the problem I'm having has nothing to do with the skill set required for this game, so fuck it, I'm not going to waste my time."
This generally happens when I get lost or can't find where I'm supposed to go in RPG's like Final Fantasy or The Elder Scrolls, or especially Zelda.
i give up after i begin using a shitload of profanity, and after i begin to sweat because i'm so highly irritated. the last time i had to go online for a solution to a problem was about 3 weeks ago. it wasn't video game related, either. it was to see how to remove a fucking headlight for a 2006 chevy cobalt so i could change the bulb. upon looking it up, i was thrilled i wasn't the only one having the same issues.
I only look up the answers in two situations:
1. The situation has a choice, and that choice might have long lasting consequences that the game doesn't explain, and I don't want to be fucked because I didn't know something (dark souls for example)
2. I can't figure out the solution and I'm not sure if it's a failure on my part, or because I'm unaware of a game mechanic.
I give up pretty easily. The alternative is just getting bored and doing something else. It is the same reason I like a game to have easy and frequent save points. I also use the same "cheat" to ensure I did everything in an area before I move on. It may save some anguish later.
It depends on the game really, for modern games not particularly but for older games most often, I justify this by wanting to see more of the game and enjoy the overall experience but I do see how I lose the challenging aspect and for some people that means the fun.