Step 1: Understand the cycles and their processes
- Diesel Cycle: It involves two adiabatic processes, one isobaric process, and two isochoric processes.
- Carnot Cycle: It involves two adiabatic processes and two isothermal processes.
- Dual Cycle: It has two adiabatic processes, one isobaric process, and one isochoric process.
- Otto Cycle: It has two adiabatic processes, one isobaric process, and one isochoric process.
Step 2: Conclusion
The correct matching is:
- (A) Diesel Cycle → (1)
- (B) Carnot Cycle → (II)
- (C) Dual Cycle → (III)
- (D) Otto Cycle → (IV)
Final Answer:
\[
\boxed{(A) (I), (B) (II), (C) (IV), (D) (III)}
\]