Well we were given a reaction quite like this on the exam, and there were factors supporting both substitution and elimination so I choose elimination as the favorable reaction because of your last post. It'll be interesting to see if I am correct (if I could remember the reaction I would post it).
I thought this was the essence of an earlier question you posted. I knew of the Brown, Foote, and Iverson guideline, but did not post it at that time. Let me ask you a question about your question. Are you trying to give the answer that your professor will give credit for or are you trying to predict what will be the product if you performed the reaction? For the first, this may require knowledge given in a class I did not attend. For the second, this may be an hypothetical question to which I am merely offering my guess.
In regards to the question in discussion, I was able to infer from the question that the SN2 substitution was expected to occur. I cannot say that even though I thought elimination should be the major product, that absolutely no substitution should also occur. So the question could make sense. Perhaps your professor mentioned conditions that negates the Brown, Foote, and Iverson guidelines (I wasn't there).
If I were a student in your class, thought elimination should be the major product, answered the question in that light, and not given full credit, I would argue this point with my professor. I would bring references that led me to think elimination should occur to my professor's attention.