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really bad question. Some old-fart, zero-knowledge examiner/interviewer must have thought about it.
Now to the point:
Probably the non-synth op is the multiply "*". Most tools back then didn't provide module generators for synthesizing the operation.
Also the "&" operator (concatenation) is certainly synthesizable, since it means (for the correct types, of course) grouping of signals/wires.
In what country did you have the interview? This question shows what jerk-off company this interviewer works in.
---------- Post added at 23:50 ---------- Previous post was at 23:46 ----------
Also another point.
Since July 2000 that i made it to this business as a worker, I never had to do a single interview. I did a couple of "technical presentations" but never a strict interview.
I used to just sat down with those guys and present some tidbits of my portfolio (starting from my univ. years, still growing, much more mature now). Nothing more was required to get the job.
It is important to have a good portfolio and processes that automate your day-by-day work. Otherwise you will be victimized by such low-life fat-ass examiners.