As you want to get the list of some of the best Universities and entrance exams for admission in M.Sc Chemistry so here it is for you:

List of Entrance Exams in M.Sc Chemistry

Acharya Nagarjuna University M.Sc Chemistry Entrance Exam
Annamalai University M.Sc in Chemistry Entrance Examination
Banaras Hindu University (BHU) M.Sc Chemistry Entrance Exam
Calicut University M.Sc Chemistry Entrance Exam
Cochin University of Science and Technology Common Admission Test
Department of Chemistry, University of Pune M.Sc Chemistry Entrance Exam
Indian Institute of Science M.Sc Chemistry Entrance exam
Indian Institute of Technology Joint Admission Test (IIT JAM)
Jadavpur University M.Sc Chemistry Entrance Exam
Kerala University M.Sc Chemistry Entrance Exam
Kuvempu University M.Sc Chemistry Entrance Exam
Madurai Kamraj University M.Sc Chemistry Entrance Exam
Mahatma Gandhi University M.Sc Chemistry Entrance Exam
Osmania University M.Sc Chemistry Entrance Exam

List of universities:
Sardar Patel University
Dr B R Ambedkar University
The Bengal Engineering & Science University
Gulbarga University
Jiwaji University
Kakatiya University
Jawaharlal Nehru Technological University
Dr Babasahheb Ambedkar Marathawada University
Banaras Hindu University (BHU), Varanasi
Bidhan Chandra Krishi Vishwavidyalaya
Shivaji University
Avinashlingam Institute for Home Science and Higher Education for Women
Indian Institute of Technology, Mumbai
Devi Ahilya Vishwavidyalaya
Karnataka University
Bharathiar University
University of Madras
Ramakrishna Mission Vivekananda Educational & Research Institute
Osmania University
Guru Jambeshwar University, Hissar
Indian Institute of Technology Kharagpur, Kharagpur
IISc, Bangalore
Swami Ramanand Teerth Marathwada University
Alagappa University
North Maharashtra University
Madras University
Jamia Millia Islamia, New Delhi
Mahatma Gandhi Chitrkoot Gramodaya Vishwavidyalaya
Dr Bhim Rao Ambedkar University
Andhra University
Rani Durgavati Vishwavidyalaya
Vikram University
Guru Nanak Dev University, Amritsar
Barkatulla University
University of Kerala
Kurukshetra University
University of Pune
Cochin University of Science & Technology
National Institute of Technology, West Bengal
M S University of Baroda
University of Mumbai
University of Delhi

M.Sc. Chemistry Job Types

Chemistry Teacher
Online Chemistry Tutor
Scientist-Synthetic Lab (Computational Chemistry)
Chemistry-Content Developer
Chemistry Lecturers / Assistant / Associate Professors
Chemistry-Research Officer
Scientist-Soil Chemistry / Fertility / Microbiology
Assistant Professor - Inorganic Chemistry
Application Specialists - Analytical Chemistry
Solid State Chemistry Expert
Research Officer - Bio-Chemistry