Which actress won an Oscar playing Eve White, Eve Black and Jane in 1957's "The Three Faces of Eve"?

Which TV host's 1957 bestseller "Kids Say the Darndest Things!" collected children's funny remarks from his shows? Jerome Robbins and Peter Martins took over which George Balanchine ballet company after Balanchine's death in 1983? Which Western set in Dodge City was TV's top-rated show in the 1957–58 season and the following three seasons? Which adjective, coined in the 1950s from Greek words meaning "mind-revealing", described drugs such as LSD? In which 1957 film does one juror hold out against eleven others who want a "guilty" verdict? Which French writer, author of "The Plague", won the 1957 Nobel Prize in Literature? Which 1957 U.S. policy allowed the president to use armed force to help Middle Eastern nations resist communist aggress… In which 1957 film does Elvis Presley play Vince Everett, who learns to sing while serving time for manslaughter?