I've done tech interviewing for years. Job listing that are to various degree fake are quite common. Of course, fakeness comes in many flavor, from listings posted just to "see if there's anyone out there" (I had a boss who did this regularly) to jobs a supervisor really does want to fill but which they know they won't because the bureaucracy has forced impossible requirements on them. An example: "Junior programmer, 10 years experience in language X" (that's existed for five years).