I had an instance where I applied to a Fortune 500 company. The minimums were broken out as a survey, and you were automatically (and explicitly) disqualified if you answered "wrong". One of the minimums contradicted the posting, and being honest, I was disqualified.

Months later, after the summer, I got a frenzied email from HR asking me to apply again. Apparently the posting ruled out all the candidates, someone high-up thought for-sure "someone" was qualified.