There is no "passing" score on the ASVAB. It is simply a measure of the careers that might suit someone in the military. However, to enlist in the military a student has to earn at least a score of 31.
The career exploration scores are one set of composite scores derived from a student's answers on the ASVAB. These scores measure a student's understanding of math, verbal linguistics and science as compared to a national standard.
The military careers score helps a student compare his performance on the test and his aptitude for certain skills against new enlistees in a variety of military careers. This might point him in the direction of a military career that would utilize his skills and talents.
This score is also known as the Armed Forces Qualification Test score (AFQT). It determines a person's eligibility to enlist in the military.
The higher an ASVAB score, the more military careers a potential recruit can qualify for and select. The ASVAB scores help recruiters determine appropriate careers for recruits and align those recruits with the military careers that are right for them.