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The way I got this one and "No Margin For Error" was I set up a two player game, and answered one question on the account I wanted the acheivement on a split second before I answered the question correctly on the second account.

Then I answered incorrectly on both accounts for the rest of the questions. Sometimes I didn't even answer incorrectly, especially if I didn't know the answer and didn't want to take the risk of answering it correctly by mistake. I just let the time run out. Answering incorrectly allows the game to go by faster, though it will still take some time.

Repeat this as often as you want throughout the game, answering correctly on the account you want the achievement on a split second before you answer correctly on the other account, but be mindful of the score.

I did what Sticky Stalwart did, on the first question I got, I answered right away with my profile, and then a split second later with the other profile. After that I just answered the questions at the exact same time on both controllers, so I could still get correct answers and points. Obivously you wouldn't use the star system, so you could also go for winning a game with 2 un-used star portions. On the final cut don't answer at all, as the 2nd place player gets a point boost.

Can also be done to get "No Margin For Error." Set up a 2 player game, play both controllers, answer with the controller signed in to the gamertag you want to get the achievement just before you answer with the other. Give the same answer on both, so that if your wrong, both are wrong.