Never heard of any other those qualifications, but here's the official ones:
Radiology specialists (68P) must possess the following qualifications:
(1) A physical demands rating of moderately heavy.
(2) A physical profile of 222221.
(3) Qualifying scores.
(a) A minimum score of 110 in aptitude area ST in Armed Services Vocational Aptitude Battery (ASVAB) tests administered prior to 2 January 2002.
(b) A minimum score of 107 in aptitude area ST on ASVAB tests administered on and after 2 January 2002 and prior to 1 July 2004.
(c) A minimum score of 106 in aptitude area ST on ASVAB tests administered on and after 1 July 2004.
(4) One year of Algebra “C” grade or higher (9th grade or above). (5) Normal color perception and normal vision with or without corrective lens.
(6) Females must not be pregnant.
(7) No history of a felony conviction.
(8) No history of conviction of crimes involving:
(a) Any weapons/ammunition/explosives/arson charges.
(b) Any drug activity involving illegal possession, buying, selling or distribution (dealing) of controlled substances or synthetics.
(c) Violence against persons or property.
(d) Sexual misconduct.
(9) Formal training (completion of MOS 68P course conducted under the auspices of the AMEDDC&S) mandatory or meet the ACASP criteria per paragraph 9-5b(5)(b) of this pamphlet and in paragraphs (a) and (b) below.
(a) Have successfully completed a Joint Review Committee on Education in Radiologic Technology (JRCERT) accredited radiography program or documented equivalent and be certified/registered in medical radiography (radiologic technology) by the American Registry of Radiologic Technologist (ARRT) or an unrestricted state license to operate radiation producing equipment. A limited state license or permit does not qualify.
(b) Proficiency training must be performed under the supervision of a radiologist (AOC 61Q or 61R) or an NCO qualified in MOS 68P.