Step 1: Expand each abbreviation in Group-I.
VAV stands for Variable Air Volume, an HVAC strategy that adjusts the volume of conditioned air supplied to a space rather than its temperature, to control indoor comfort efficiently.
DEWAT stands for Decentralised Wastewater Treatment, a small, localised system for treating sewage close to where it is generated rather than piping it to one large plant.
El-Nino is a periodic warming of surface waters in the equatorial Pacific Ocean, which disturbs the normal ocean-atmosphere heat exchange and shifts weather patterns worldwide.
BRTS stands for Bus Rapid Transit System, a dedicated-lane, high-frequency bus network built to move large numbers of city commuters quickly.
Step 2: Match each term to its one-line description in Group-II.
VAV is fundamentally a building's automatic climate control system, so it matches "Intelligent air conditioning system of building" (3).
DEWAT treats sewage at a local scale, so it matches "Waste water treatment system" (5).
El-Nino is a disturbance in the heat balance between the ocean and the continents/atmosphere, so it matches "Continent-ocean heat balance system" (1).
BRTS moves commuters by bus along the city, so it matches "Public transportation system" (2).
Step 3: Assemble the match.
P - 3, Q - 5, R - 1, S - 2.
"Water supply monitoring system" (4) is left unused, since none of the four terms describe monitoring a fresh water supply network.
Final Answer:
\[ \boxed{\text{P - 3, Q - 5, R - 1, S - 2}} \]