Isn't a Director of Engineering meant to be an interface between engineers and the rest of the organization? Perhaps this was more like a smoke test for the political insight such a role calls for, not the ostensible test of technical skill it was presented as. After the first couple of wrong answers, people with the right social skills to manage others and represent their interests to the broader organization would stop striving to prove their technical chops, clarify what kinds of answers the test is looking for, and adjust their subsequent answers accordingly.
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