My strengths is my flexibility to handle change. As customer service manager at my last job, I was able to turn around a negative working environment and develop a very supportive team. As far as weaknesses, I feel that my management skills could be stronger, and I am constantly working to improve them."
When confronted with this interview question, remember the interviewer is looking for a fit. She is forming a picture of you based on your answers. A single answer will probably not keep you from getting the job, unless, of course, it is something blatant. Put your energy into your strengths statement—what you have to offer. Then let the interviewer know that although you may not be perfect, you are working on any shortcomings you have.