Isn't something akin to Fizzbuzz the obvious solution to this problem? An unemployed person whether skilled or unskilled is still unemployed and doesn't really have grounds for saying a test is beneath them.
If we can filter out a large percentage of the unskilled with a litmus test like Fizzbuzz that should be a big win. Bigger, in fact, because we've stipulated that the unskilled are far more common than the skilled in today's labor market. I would think that this would be a much better solution than throwing out all resumes from the unemployed.