Consistency/Flaws: Is their title VP of IT but one of their duties is 1st level helpdesk support? Red flag! Is the format of their resume messy and distracted with misspellings and grammar mistakes? That person is automatically eliminated for jobs requiring organization and attention to detail!
Career Progression: Did they go from Jr Developer to Developer to Sr Developer... or from Architect to Developer to Team Lead to Developer, etc. Titles aren't the most important thing, duties are.
Details! Do they just have a company and title listed? Have they put time into describing their duties or just put down the most generic one-sentence description of a database administrator? Are there dates of employment? Watch out for a lot of 2005-2006, 2006-2007... this might only be a few months over the new year. The less details they include, the more likely they are to be hiding something.