Step 1: Centrifugal pumps.
\nThese pumps employ a rotating Impeller to propel fluid via centrifugal force. \n\[\nP \Rightarrow 2\n\] \n\n
Step 2: Reciprocating pumps.
\nTheir operation relies on the linear, back-and-forth movement of a piston connected to a Piston rod. \n\[\nQ \Rightarrow 1\n\] \n\n
Step 3: Rotary pumps.
\nThese utilize a rotating Gear or comparable component for positive displacement fluid transfer. \n\[\nR \Rightarrow 3\n\] \n\n
Step 4: Impulse pumps.
\nThis category encompasses the Hydraulic ram, which leverages water hammer effects for pumping operations. \n\[\nS \Rightarrow 5\n\] \n\n \n\[\n\boxed{P-2, \ Q-1, \ R-3, \ S-5}\n\]