Colleges offering MSc Big Data Science are:

Kalyani University is located in Kalyani, India (Integrated BSc statistics and MSc Data Science)

To know more colleges you may visit the link provided below:

https://university.careers360.com/colleges/list-of-big-data-analytics-universities-in-india?sort=popularity&page=2

Also you can check:

• Vellore Institute of Technology
• Chandigarh University
• Indian Institute of Management,  Calcutta
• Rathinam Group of Institutions,  Coimbatore
• Shardha University
• Loyola College,  Chennai
• GD Geonka University,  Gurgaon
• Coimbatore Institute of Technology
• Fergusson college,  Pune

I hope this answer helps. All the very best for your future endeavors!