Step 1: Understanding the diseases.
- P: Hansen’s disease is caused by Mycobacterium leprae.
- Q: Sleeping sickness is caused by Trypanosoma brucei.
- R: Syphilis is caused by Treponema pallidum.
- S: Lyme disease is caused by Borrelia burgdorferi. Step 2: Conclusion.
Thus, the correct matching is:
- P: iv (Mycobacterium leprae)
- Q: ii (Trypanosoma brucei)
- R: iii (Treponema pallidum)
- S: i (Borrelia burgdorferi)
So, the correct answer is (B).