For the DAT exam,,,,,keep the following in mind,,,,,,CN- SH-, CH3S- are all very very powerful nucleophiles and are the superstars of the SN2 reaction. I- is fairly good as well especially when an aprotic solvent is employed. Nucleophilicity often parallels basicity.....BUT NOT ALWAYS. For example, I- is a good nucleophile but a poor base. Strong bases you need to know for the DAT exam include,,,,HO-....CH3O-, C2H5O-, NH2-, t-butoxide, and LDA. These bases are also nucleophiles. When doing reactions on a secondary or tertiary halide they will do the E2 mechanism. Heating always favors the elimination process as well. Zaitsev elimination for most of them, Hofmann elimination with t-butoxide and LDA. Be on the lookout for these bases,,,,,E2 mechanism will be the likely mechanism path. For a primary halide you will do SN2 with the exception of t-butoxide or LDA....which gives the E2 product. Many examples of this methodology are shown in Destroyer . For further clarification, I think the David Klein text as well as the Francis Carey text do a fine job to present examples if you need it.
Hope this helps...keep hammering away.
Dr. Romano