Sort the four agents by chemical family. Synthetic pyrethroids are laboratory copies of plant pyrethrins and typically carry names such as permethrin, prallethrin (written here as proparthrin) and cypermethrin. These three are everyday pyrethroids found in mosquito mats, sprays and bed-net treatments, so they cannot be the answer.
DDT is different. It is the classic organochlorine compound, banned in many countries because it stores in fat and stays in the food chain for years. Its mode of action is on nerve sodium channels, and chemically it has nothing to do with the pyrethrin skeleton. Since the question wants the one that is NOT a pyrethroid, DDT stands apart from the other three.
$\therefore$ DDT is the non-pyrethroid agent.
\[\boxed{\text{A. DDT}}\]