We're allowed to review our exams by appointment, one-on-one with our instructor. There are strict rules and you're not allowed to have your cell phone
or any paper with you. Last semester our exams were on the computer, and we took them in the school's computer lab with the "test center" staff overseeing us. They were very vigilant and you would get thrown out if you opened any other program or webpage on the computer, had your cell phone out, etc. We were allowed one sheet of scratch paper, which they provided and then collected at the end. The computer tests gave us our grade instantly, and showed us which items we got wrong, with a brief rationale for the correct answer (for most questions, but not all). We had 75 min to take a 50 question test on the computer, and we weren't allowed to leave or do ANYTHING besides stare at a blank computer screen until the time was up.
I don't think it's fair that you're not allowed to review your exams - I agree it helps you learn. I'd be upset about that too. Most of my instructors have a question bank and they generate a new test every semester using 50 questions from a 500 question bank. I think if your instructors are worried about the tests leaking to the incoming classes, they should at least have a few different versions of the tests and rotate them. I'm sorry you're dealing with this... Maybe if you can remember which questions you were confused about, write down the gist of it after the exam, and ask your instructor about them during their office hours.