Definitions of qualified
if you are qualified for something then you have done what you need to do to accept a particular job, responsibility or official position etc (eg you have the skills you need, have undergone the necessary training, taken the necessary exams or had the necessary experience etc)
The nomination system insures that only qualified men and women sit on the board.
limited
Because the issue of warrants was not fully subscribed, the board of directors considered it a qualified success.