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.
The IRT model underlying ASVAB scoring is the three-parameter logistic (3PL) model. The 3PL model represents the probability that an examinee at a given level of ability will respond correctly to an individual item with given characteristics. Specifically, the item characteristics represented in the 3PL model are difficulty, discrimination (i.e., how well the item discriminates among examinees of differing levels of ability), and guessing (i.e., the likelihood that a very low ability examinee would respond correctly simply by guessing).