It is true that viruses can be lytic or lysogenic depending on how they evolved. This is most commonly dictated by how their genome is encoded. RNA based viruses can propogate themselves lytically or lysogenically, while DNA viruses tend to be more commonly lysogenic. There are exceptions to both rules. I like to think of it this way: if a virus is RNA-based, then it can proceed lytically because the cell will replicate its genome in the cytosol and never needs to become incorporated. DNA viruses however, have to enter the nucleus for transcription, and commonly, integrate in the process.
HIV is an RNA virus, but it is one of the exceptions to the above rule since it is a retrovirus, which is special in nature in that it is encoded by an RNA genome, but undergoes reverse transcription to generate a DNA that can become incorporated into the host genome. I think knowing this is sufficient for the MCAT