Design

No, The eligibility criteria for getting into B. Des programme at CEPT is that one should have passed 12th with PCM subjects. So you probably will not get admission in cept University for interior design programme as you are a humanities student.

There is no comparison between these two courses as both the courses are way too different from each other. Food Technology is a field which depends on Chemistry biotechnology, nutrition, processing, production, preservation, analysis and research of the food and food products which all comes under food Science. Whereas Fashion Design is that Branch of Design which is the art of designing and creating clothings and accessories where designers work on starting from it's raw design, then coming to the illustrations to the making of final outfits.

There are many colleges in Chennai which offers Interior Design, amongst which few of them are listed below -
P. Right Angle Interior Design Institute.
Iifa Lancaster Degree College.
Fida The Design School.
International Institute Of Fashion Design.
Image Creative Education
. Dlk Career Development.
PAAVENDHAR ITI.
National College Of Design.

No, for doing Masters in interior design you must have a Bachelor's degree in interior design, without it, it isn't possible for you to get into a master course. There are many colleges which offers M.Sc. In Interior Design -
P. Right Angle Interior Design Institute.
Iifa Lancaster Degree College. F
ida The Design School.
International Institute Of Fashion Design. Image Creative Education.
Dlk Career Development. PAAVENDHAR ITI. National College Of Design. Etc.

UCEED is a common entrance examination for design and can be given by students from any background. So yes you are absolutely eligible for the same.

Yes, Graphic designing is one of the most demanding skill in today's market. You won't sit jobless if you have honed your graphic designing skill. Alone a degree can't do a thing. There are also options in freelance.

It differs from college to college. While government colleges like NID or Artemisia have low fees, private colleges like INIFD or AAFT have slightly higher. For example, admission fees + annual fees in Artemisia is equivalent to 75000 whereas in AAFT, it might be above 4 Lacs.

Yes you can. Work on your portfolio and you are pretty much likely to fly off anywhere if your portfolio is strong, that is.

In which college do you want admission? If it's nid you need to get a decent score plus qualify the entrance and interview if you wanna get in. As for the other colleges, it is relatively easier but still require efforts on your side.