Some best colleges in India for this course are,

National Institute of Design, Ahmedabad

National Institute of Fashion Technology, Mumbai

Symbiosis Institute of Design, Pune

Pearl Academy of Fashion Management, Jaipur

Arch Academy of Design, Jaipur

Pinnacle Institute of Fashion Technology, Ludhiana

IIT, Mumbai

Every college have it's own procedure for admission, in general you need to first give the entrance exam and if you qualified that you might be asked for an interview and after clearing it you'll get admission.
The mode of paper will be in English as being a universal language it becomes easy for the students coming from different regions.
Hope it helps.