Step 1: Understand the relationships between vectors and diseases.
Vectors are organisms that transmit pathogens or diseases from one host to another. The correct relationships are:
I. Fleas (R. Plague): Fleas are known vectors for the plague, specifically the bacterium \textit{Yersinia pestis}.
I. Ticks (P. Kyasanur Forest Disease): Ticks are vectors for Kyasanur Forest Disease, a tick-borne viral hemorrhagic fever.
III. Mosquitoes (Q. Dengue): Mosquitoes, particularly \textit{Aedes aegypti}, are vectors for dengue fever, a viral disease.
Step 2: Analyze the options.
Option (A): Correct. Matches I-R, II-P, and III-Q correctly.
Option (B): Incorrect. Misassigns fleas (I) to Kyasanur Forest Disease (P).
Option (C): Incorrect. Misassigns ticks (II) to dengue (Q).
Option (D): Incorrect. Misassigns mosquitoes (III) to plague (R).