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Automobile Engineering is a specialized course. To keep your chances open, you may opt for Mechanical Engineering and choose the specialized domains of study only after B.Tech
I will suggest you University of Engineering & Management (UEM) under IEM group. Students passing out from IEM and UEM are all having 1-2 job offers. They are working all over the world in top positions. They are working in Microsoft, Google, Oracle, Honeywell, IBM research, INTEL and all top multinational companies.
Govt of India, MHRD, NIRF
has ranked IEM group as 3rd in Bengal after IIT Kharagpur and NIT Durgapur. The top 4 of Bengal within 100 in order are:-
1) IIT Kharagpur
2) NIT Durgapur
3) IEM Kolkata
4) IIEST Shibpur (Formerly BESU)

Hi Kashish, Greetings!
Interior Designing is a very good field for creative and planned people irrespective of the genders. There's a great scope in India and worldwide. Also, if you're dedicated to your passion and earn good credits while pursuing your degree, you'll get a lot of opportunities to work and get trained under some good construction companies and interior designers. Today we SEE a lot of builders creating societies and investing in real estate for people looking for a well-designed house for their living and lots of commercial places where design and ambiance matters a lot. So, of course, it worth investing your time and efforts if you're really interested and keeping a good portfolio, credits, and do some great projects. I hope this helps you. Be free to share any problem you have. You can also have a look at IILM University, Gurugram. You can appear for IILM University Gurugram's Design Aptitude Test with the Interview Process for applying. They offer M.Des degree programs with various specializations like Fashion, Interior, Interaction, and Product Design of 2 years with an added advantage of Liberal Education in their curriculum with good and advanced pedagogy in teaching. The School of Design & Fashion at IILM University, Gurugram offers a choice of career by combining a major and minor degree within design fields or other mainstream courses like a combination of major in Fashion and minor in Graphic Design or a major in Interaction and minor in Business. You can visit their website to apply for the programme or to enquire more.