A group of highly qualified single men, including Dr. Richard Stanton (William Lundigan) and Dr. Jerry Lockwood (Richard Carlson), are recruited for a top secret project. They undergo a series of rigorous physical and psychological tests, during which Stanton becomes attracted to the beautiful Dr. Jane Flynn (Martha Hyer), one of the scientists testing the candidates. After most of the candidates have been eliminated from consideration, the four remaining are told about the purpose of the project.