Not possilbe
US Federal Aviation Regulations require 20 hours as the sole occupant of an airplane before a student can take his PPL check ride. It is not possible for a private pilot to have never flown solo.
Doug Daniel, Certified Flight Instructor, Airplanes, Single and Multiengine, Land, Instruments
Doug..
You might want to go read the FAR's again. Try starting with FAR 61.109.
Here