Step 1: Concept
This question explores historical figures, ancient universities, and philosophical traditions of ancient and medieval India.
Step 2: Meaning
Connecting historically significant educators, writers, and philosophical movements to their central geographical hubs or institutions.
Step 3: Analysis
[leftmargin=20pt, itemsep=3pt, topsep=4pt]
• A. Chanakya – III. Takshshila: Chanakya (Kautilya), the author of Arthashastra, was an eminent teacher and scholar at the ancient university of Takshshila.
• B. Gyanchandra Sheelbhadra – IV. Nalanda: Acharya Shilabhadra was the legendary Buddhist scholar and rector of the ancient Nalanda University during the visit of Chinese traveler Xuanzang.
• C. Jayadev's Gita Govind was composed here – I. Nadia: The famous 12th-century poet Jayadeva composed the Gita Govinda in the region of Bengal, which is historically associated with Nadia (Navadvipa).
• D. Nyaya philosophy evolved here – II. Mithila: The specialized school of logic and Navya-Nyaya philosophy evolved and flourished brilliantly in Mithila, Bihar.
Step 4: Conclusion
Matching these yields A-III, B-IV, C-I, D-II, which corresponds to option (B).
Final Answer: (B)