Step 1: Understanding the question.
The question asks us to find the incorrect pairing between cities and their famous libraries. Three of these pairs are correct, while one is mismatched.
Step 2: Analyzing each pair.
(i) Kolkata — National Library: Correct. The National Library of India, located in Kolkata, is the largest library in India.
(ii) Delhi — Nehru Memorial Museum and Library: Correct. It is situated in Teen Murti Bhavan, New Delhi.
(iii) Hyderabad — State Central Library: Correct. Hyderabad houses the State Central Library, one of the oldest in India.
(iv) Pune — Library of Asiatic Society: Incorrect. The Library of Asiatic Society is located in Mumbai, not Pune. Pune has other famous libraries like the Bhandarkar Oriental Research Institute.
Step 3: Conclusion.
The incorrect pair is (iv) Pune — Library of Asiatic Society, because the Asiatic Society’s library is in Mumbai.