I'd want high SAT or ACT scores, and ideally some 4s and 5s on AP Exams. I want to know if the applicant is smart, and I think SAT scores are an indication of that. Ideally, someone who teaches high-IQ students should have a high IQ herself. Therefore I'd like a candidate with a high score on an IQ test. I'm not saying test scores should be the sole criterion. I realize that my criteria may be politically unacceptable. If I can't get the test scores, I'd favor graduates of universities where the students have high scores. I want good grades in college, achieved in an actual academic discipline, not "education".