Solution:A. Sonakia (a) was associated with the Geological Survey of India (III). The Geological Survey of India plays an instrumental role in conducting geological studies, and researchers like Sonakia have contributed to the understanding of geological aspects, including the study of fossils, minerals, and other geological attributes.
A. Carlyle (b) was associated with the Archaeological Survey of India (IV). The Archaeological Survey of India is responsible for archaeological research, conservation efforts, and the preservation of India's cultural heritage. Scholars like Carlyle have played vital roles in excavations and research that have enriched our understanding of India's ancient history.
S.P.. Gupta (c) is linked to the Allahabad Museum (II). Museums like the Allahabad Museum house historical artifacts, antiquities, and other essential records of India's rich cultural and historical heritage.
S.K. Saraswat (d) was connected with the Birbal Sahni Institute of Palaeobotany (I). This institute is dedicated to studying plant fossils, and researchers like Saraswat have immensely contributed to the field.