I don't see this exercise as being so much about rationality as it is about our relationship with dissonance. People in my community (context-driven software testers) are expected to treat confusion or controversy as itself evidence of a potentially serious problem. For the responsible tester, such evidence must be investigated and probably raised as an issue to the client.
In short, in the situation given in the exercise, I would not answer the question, but rather raise some questions.
I drive telephone surveyors nuts in this way. They just don't know what to do with a guy who answers "no opinion" or "I don't know" or "can't answer" to every single question in their poorly worded and context-non-specific questionnaires.
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Eliezer, never mind *black*, the true iconoclasts don't *go* to school. I quit in 10th grade and became an emancipated minor. In the three years prior, I refused to do homework, citing the 13th Amendment. My motivation echoes yours: I could not abide fakers, and public school abounds with them. Fake lessons. Fake arguments. Fake sentiments. Public school is a thinly disguised day care center.
Fortunately, education is not the same as schooling, and there are plenty of ways to become better educated in private life. Then I discovered as an adult that being unconventionally educated could be a competitive advantage.