Point values are noted before each problem: problem 1 is a true/false problem for which you do not need to show any work. If your proof uses a theorem we"ve proved in class or in the text, then give a brief statement or paraphrase of that theorem. The only items you may have on your desk are a pen or pencil, eraser, and id card. It is a serious o ense to use unauthorized notes or to exchange information with another student during the exam. Mark each of the following twelve statements true or false. Mark a statement as true if and only if it is true for all possible values of the unknowns; otherwise, mark it as false. You do not have to show any work, and no partial credit will be given. (1a) there are exactly 12 primitive roots (mod 29) in any reduced residue system (mod 29).
