The job announcement is for a web application developer with knowledge of front-end development languages to be used in the state government enterp...
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My understanding of this is the literal interpretation - "how would I design a physical chicken" - e.g. 8 legs, 4 breasts, no poop, etc....
I think the "If you had you're way..." bit of the question says that, if the asked you to describe a class that defined a chicken then maybe.
I think they are looking for lateral thinking skills, but I could be wrong.