Design

Dear Aniket,
SPD Italy is Italy's premier postgraduate school for design. I doubt they offer any bachelor degree program. You can look forward to study here after completing your undergraduate studies from IIT. They have superior master degree courses in the areas of automobiles, web desigining, interior and many more.
Best Wishes

yes you Can.
NID (NATIONAL INSTITUTE OF DESIGN AHMEDABAD)IS THE BEST COLLEGE OF VECHIAL AND TRANSPORT DESIGN,its a 4year degree course on completion you will get Bachelor of Design.
every year all india NID EXAM are conducted.
All the best.

This is a very tricky question. Of course nothing is stopping you, but it is advised you make enough research before making a decision. Good luck

Dear Rashmi,
You may pursue short-term online course for fashion designing. The minimum duration for the course will be 6 months. Please refer the link below:
http://study.com/articles/List_of_Free_Online_Fashion_Design_Courses_Classes_and_Learning_Materials.html

Dear Vidya,
Kindly refer the below link:
http://www.htcampus.com/subcategory/fashion-design-colleges-in-tamil-nadu-state/

Web designing will teach you everything that you want for creating a running website. Design degree is a three year degree program which will create a foundation in various design discipline.