IIT Bombay was established in 1958 as a second-oldest institute of the Indian Institutes of Technology system

As you want to do M.sc from IIT Bombay and for the same here looking for JAM Cutoff info , so on your demand I am providing same for you :

Subject General category OBC category SC / ST category
Biological Sciences 32 28.8 16
Biotechnology 35 31.5 17.5
Chemistry 26 23.5 13
Geology 40 36 20
Mathematics 12.5 11.25 6.25
Mathematical Statistics 5 4.5 2.5
Physics 13 11.5 6.5

Departments
Department of Aerospace Engineering
Department of Bio sciences and Bio engineering
Department of Chemical Engineering
Department of Chemistry
Department of Civil Engineering
Department of Computer Science & Engineering
Department of Earth Sciences
Department of Electrical Engineering
Department of Energy Science and Engineering
Department of Humanities & Social Science
Department of Industrial Design Center
Department of Mathematics
Department of Mechanical Engineering
Department of Metallurgical Engineering & Materials Science
Department of Physics

Address
Indian Institute of Technology, Bombay
Powai
Mumbai
State : Maharashtra
Country : India
Contact No : 022-25722545
Contact Email : dean.aa@iitb.ac.in