As someone who has reverse-engineered calculators, that question has me curious. You could implement the same external behavior regardless of what processor a calculator uses. So I can't see any way to determine the bit width. Is there an answer I'm missing? (Also the question ignores the many 4-bit calculators.)
(Of course you could open up the chip and take a look with a microscope, which I've done. But I don't think that's the answer they are looking for.)
b) That's a different question from this set about UNIX arcana, so it's not the same set
c) All of the other questions on that page are non-technical, so this isn't a question from a standard director set either. (It may be what 'DannyBee said, that people assumed they were being screened for a much higher position than they were actually being screened for.)
A question on Glassdoor (for a Director position) is in the same vein: "How do you tell if a calculator is 8 bit or 16 bit."[1]
[1] https://www.glassdoor.com/Interview/Google-Director-Intervie...