The best suggestion to crack any exam is to go through the textbooks written by authorities in the respective fields. Following is a list of textbooks in different areas of chemical sciences. Actual list is very vast. However, it is better to go through only few books that are followed by professors at our universities and IITs.
1) Inorganic chemistry by Shriver & Atkins (Suggested by most of Indian Institutues of Technology. Solve the exercises given inside and at the end of each chapter to master this subject.)
2) Inorganic chemistry by Catherine E. Housecroft (Another favorite of IIT professors. The NCERT chemistry textbooks have the material referenced from this book.)
3) Inorganic chemistry by Miessler (I like this book for its simple and straight forward explanation.)
4) Inorganic chemistry: Principles of structure and reactivity by James E. Huheey (You will start appreciating inorganic chemistry after reading this book. I enjoyed and learned a lot from this fantastic text book.)
5) Advanced inorganic chemistry by F. Albert Cotton & Geoffrey Wilkinson (Must for an inorganic chemist. But you need lots of patience to feel like a Jargon.)
1) Organic chemistry by Clayden, Greeves, Warren & Wothers (I think already you know about this famous book. Not only written in a lucid manner and is very important for those who dare to attempt organic questions from part C of CSIR NET exam. Most of the previous organic questions are straightly from this book. Just enjoy reading this book and earn easy points.)
2) Modern methods of organic synthesis by William Carruthers & Iain Coldham (Refer this book for advanced organic synthesis. Another book from which most of the organic questions are dumped into the exam.)
3) Advanced organic chemistry by J March (A must reference book).
4) Pericyclic reactions by Ian Fleming.
5) Modern organic synthesis: An introduction by Michael H. Nantz (Book with straight forward explanations)
6) Spectrometric identification of organic compounds by Robert M. Silverstein.
7) Introduction to organic photochemistry by John D. Coyle.
8) Advanced organic chemistry (Part A & B) by Francis A. Carey & Richard J. Sundberg (Great reference book for organic synthesis).
9) Named organic reactions by Thomas laue & Andreas Plagens.
1) Physical chemistry by P.W. Atkins & Julio De Paula (Read the book. Solve the exercises & problems given. That is sufficient.)
2) Physical chemistry by Ira N. Levine
3) Principles of Physical chemistry by Puri, Sharma and Pathania (Read the book. Solve the exercises & problems given. That is sufficient.)