Yes. Purdue made the Final Four in 1969 and 1980.
Twice
No, Illinois has never won the NCAA Men's Basketball Tournament.
Never. Along with Army, the Citadel, St. Francis (NY), and William & Mary, they are one of only five teams with fifty years of NCAA Division I play and no NCAA tournament appearances.
Brigham Young University has made 22 NCAA Tournament appearances without advancing to the final four. This is as of the end of the 2007 season.
No they have not.
university of Kansas
3 NCAA Tournament Championships1952, 1988, 2008
UCLA has won the most NCAA tournament championships having won 11. University of Kentucky is second on the list with 8 wins in the tournament.
NO
wisconsin
once
Northwestern University, Evanston, IL