Other mistake: When Chevy chase is being filmed cheating on the exam, all the video cameras are on the sidewalls near the roof. But later when they view the footage, the last shot of Chevy copying the answers is from the floor level where no camera was seen in any previous shots. Also what was a floor level camera going to film anyway...everyone's feet?
Continuity mistake: When Dan Aykroyd and Chevy Chase are getting ready to take the FSB Exam, the test monitor angrily puts a test booklet on Dan Aykroyd's desk, then immediately returns to the front of the room without ever putting a test on Chevy Chase's desk. In the next shot, Chevy has a test on his desk.
Suggested correction: More than likely he gave Dan 2 booklets. 1 to give to Chevy.