It seems there's a bit of a Socratic argument point to be made about this quiz. In the Socratic dialogues, Socrates leads his students down a path of logic to force them into positions where they question their own judgments. His logic is so watertight that if the students accept his initial premise, they get stuck in a conundrum.
For me this quiz is like that. Being given all the plays up to the river, I'm forced to make a choice from a bad position. Therefore, I choose not to accept one of the premises: that I would represent kings when I only had a low gutshot straight draw.
Instead, I would check after the flop and see what happened after that. I would be concerned that the player who simply calls is slow playing a big hand, and if I check and fold (or lose), I get out of the pot for less money.
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Just my $.02/$.04
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