IITJAM Chemistry paper consists question from three basic sections of chemistry that is, Physical Chemistry, Organic Chemistry and Inorganic Chemistry. Although few other subjects like analytical chemistry also contain some weightage but it can be grouped into the above three subjects also. Now, the books for IITJAM Chemistry which you should refer are given below although I would advise to study some of them only if you have your basics clear as they are quite descriptive and you have to be clever enough to understand the important topics and the not-so important ones. The books which you should refer are:-
• Inorganic Chemistry:- JD Lee, Meissler-Tarr, James E.Huheey. These are the authors of the books and the names of the books are different but are commonly known by these names only. Also you must refer to Vogel's Qualitative Inorganic Analysis book as in my opinion it is the best for inorganic analysis.
• Organic Chemistry:- You can refer the books by these authors IL Finar , PS Kalsi and also Mehta and Mehta is good in clearing the basics and reaction mechanisms.
• Physical Chemistry:- You can refer these books (these are the commonly known authors of the books) Peter Atkins, Samuel Glasstone, Thomas Engel-Phillip Reid, Keith Laidler etc. These are the books for different topics such as Chemical Thermodynamics, Chemical Kinetics etc.
These were some of the books which you can refer to but these are not necessary as you can have your own reference books based on difficulty level of some of these books.
Hope this helps.