Here I am telling you the names of MSc. Biochemistry entrance exams:

University of Mysore M.Sc. Biochemistry Entrance Examination
IIT JAM
University of Hyderabad M.Sc. Biochemistry Entrance Examination

Here is the list of M.Sc. Biochemistry colleges in India:

KLE University, Belgaum - Master of Science in Biochemistry
JSS College of Arts, Commerce and Science - Master of Science in Biochemistry
The Oxford College of Science - Master of Science in Biochemistry
D.A-V. College - Master of Science in Biochemistry
St.Joseph's College, Tiruchirappalli - Master Of Science in BioChemistry
Sengamala Thayaar Educational Trust Women's College, Thiruvarur - Master Of Science in Biochemistry
Lekshmipuram College of Arts and Science - Master of Science in Biochemistry
St. Berchmans College - Master of Science in Biochemistry
Seethalakshmi Ramaswami College, Tiruchirappalli - Master of Science in Biochemistry
M.S. Ramaiah College of Arts, Science and Commerce (MSRMSC), Bangalore - Master Of Science BioChemistry
Government Arts College, Kumbakona - Master Of Science in Biochemistry
Barkatullah University - Master Of Science in Biochemistry
Osmania University, Hyderabad - Master of Science in Biochemistry
M.S. Ramaiah Junior & Degree College (MSRJ&DC) - Master of Science in Biochemistry
Bangalore University - Master of Science in Bio Chemistry
Reva Institute of Science & Management - Master of Science in Biochemistry
The Institute of Science - Master of Science in Biochemistry
Mar Athanasius College - Master of Science in Bio-Chemistry
Panjab University, Chandigarh - Master of Science in Biochemistry
University of Kerala, Thiruvananthapuram - Master of Science in Biochemistry
Shrimati Indira Gandhi College - Master of Science in Biochemistry
Dr. C.S.N. Degree & P.G. College - Master of Science in Biochemistry
Ganga Kaveri Group of Institutions - Master Of Science in Biochemistry
T John College (TJC), Bangalore - Master of Science in Bio-Chemistry
Maharani Lakshmi Ammanni College for Women - Master of Science in Biochemistry
Pooja Bhagavat Memorial Mahajana Post Graduate Center - Master of Science in Biochemistry
Prof.Dhanapalan College For Women - Master Of Science in Bichemistry
Bhavan's Vivekananda College of Science, Humanities and Commerce, Secunderabad - Master of Science in Biochemistry
St. George College of Management, Science & Nursing - Master of Science in Biochemistry
Kuvempu University - Master Of Science In Bio-Chemistry
Ahmednagar College - Master of Science in Bio Chemistry
PGP College of Arts and Science, Namakkal - Master of Science in Biochemistry
Muthayammal College of Arts & Science - Master of Science in Biochemistry
Dayananda Sagar Institutions (DSI), Bangalor - Master of Science in Biochemistry
Mohamed Sathak College of Arts and Science - Master of Science in Biochemistry
Goutham College - Master Of Science in Biochemistry
Pee Gee College of Arts and Science - Master of Science in Biochemistry
Mar Athanasios College for Advanced Studies Tiruvalla, Tiruvalla - Master of Science in Biochemistry
University of Kalyani - Master of Science in Biochemistry
AVS College of Arts & Science, Salem - Master of Science in Biochemistry
Paladugu Nagaiah Chowdary & Kotha Raghuramaiah Degree and PG college - Master of Science in Biochemistry
Karpagam Arts and Science College - Master of Science in Bio-chemistry
Dr.Ram Manohar Lohia Avadh University, Faizabad - Master of Science in Biochemistry
Dr.N.G.P. Arts and Science College - Master of Science in Biochemistry
T.S.Narayanaswami College of Arts and Science - Master Of Science in Biochemistry
D.L Reddy College - Master of Science in Biochemistry
Montessori Mahila Kalasala College - Master of Science in Biochemistry
Chhatrapati Shahu Ji Maharaj University, Kanpur - Master of Science in Biochemistry
Maharajah's Post Graduate College - Master of Science in Bio-Chemistry
Vignan Degree College (VDC) - Master of Science in Biochemistry
Singhania University - Master of Science in Biochemistry
Al Azhar College of Arts and Science, Thodupuzha - Master of Science in BioChemistry
Sher-e-Kashmir University of Agricultural Sciences and Technology of Jammu - Master of Science in Biochemistry
Sri Venkateshwara Institute of Distance Education - Master of Science in Biochemistry
Aurora’s Degree and PG College - Master of Science in Biochemistry
Garden City College (GCC), Bangalore - Master of Science in Biochemistry
M.G.R. College of Arts and Science - Master of Science in Biochemistry
Jain University - Master of Science in Biochemistry + Advanced Diploma in Research & Clinical Data Mgt
Indian Academy Group of Institutions, Bangalore - Master Of Science in Biochemistry
King Edward Memorial Hospital and Seth Gordhandas Sunderdas Medical College - Master of Science in Biochemistry - by Papers/Research
Vikas Degree College - Master of Science in Bio-Chemistry
Bharathidasan University, Tiruchirapalli - Master of Science in Biochemistry
Centre for Life Long Learning - Master of Science in Biochemistry
St. George College of Management, Science & Nursing, Bangalore - Master Of Science in Biochemistry
Prof. Dhanapalan College For Women - Master Of Science in Biochemistry
School of Life & Basic Sciences, Jaipur National University - Master of Science in Biochemistry
Kasturba Medical College, Manipal - Master of Science in Medical Biochemistry
Sneha Academy, Pune - Master of Science in Biochemistry
Maharani's Science College for Women - Master of Science in Biochemistry
St. Mary's College For Women - Master Of Science In Bio-Chemistry
Asan Memorial College of Arts & Science - Master of Science in Biochemistry
Sri Auribindo Institute of Medical Sciences - Master of Science in Biochemistry
University of Kashmir - Master of Science in Biochemistry
Bangalore City College - Master of Science in Biochemistry
Dolphin (PG) Institute of Biomedical & Natural Sciences - Master Of Science in Biochemistry
D.S. Institute of Paramedical Science and Hospital - Master Of Science In Biochemistry
University of Kashmir - Master of Science in Clinical Biochemistry
Jain University - Master of Science in Biochemistry + Advanced Diploma in Bioinformatics
Medical College-Baroda - Master of Science in Medical Biochemistry
Mithibai College of Arts, Chauhan Institute of Science & Amrutben Jivanlal College of Commerce and Economics, Mumbai - Master of Science in Biochemistry
Fergusson College, Pune - Master of Science in Bio Chemistry
University of Allahabad - Master of Science in Bio-Chemistry