Whether you take the pencil-and-paper version of the ASVAB or the CAT-ASVAB (computerized version), the scores are the same. The computerized version of the ASVAB is adaptive, which means that on some sections of the test, harder questions are worth more points than easier questions, so you may be able to obtain the maximum possible score with fewer questions.
After the final ability estimate is computed, it is converted to a standard score on the ASVAB score scale that has been statistically linked to the ability estimate through a process called equating. Equating studies are conducted for every paper and pencil ASVAB form to ensure that scores have the same meaning regardless of which test form the examinee receives.