Hi Piyush,

Yes, you can do M.Des after BE/B.Tech.  Actually, engineers are very well suited for this, if they have basic creative talent and aptitude. The IITs hold the Common Entrance Exam for Design called CEED, while other colleges have their own entrance exams. Below is the link for the list of institutes which offer M.Des:

https://design.careers360.com/colleges/list-of-mdes-colleges-in-india

All the best 

yes, you can do m.des in industrial design after b.tech. you have a lot of option to take admission in various colleges such as government, semigovernment and private college. depending upon the various exam you can select a good college for pursuing m.des in industrial design.