Career
His most successful tournaments were Balatonfüred (1960), Salgótarján (1967), and Debrecen (1970). He placed first in all three. Bilek played on the Hungarian team in nine Chess Olympiads (1958 through 1974), earning three individual medals: silver on board 4 in 1962, bronze on board 3 in 1966, and silver on board 2 in 1972.
Bilek was awarded the International Master title in 1958 and the General Motors title in 1962.