Indian Institute of Technology, IIT Bombay

No. JEE Mains rank does't matter at all. The key is only JEE Advance Rank to open the lock of IITs.

For which course you wish to apply?

Hi Saksham,
If you could not apply for UCEED exam for the upcoming session, you will have to apply next year then. There is no other way you could appear now for the 2018 batch.

Candidates are selected based on GATE score/IIT merit and performance in interview.
Exemptions:
Candidates having two years of relevant work experience are exempted from requirement of GATE score, provided their candidature is sponsored by the employer.
Candidate having an B.Tech. Degree from IITs and having a CGPA/CPI score of 8.00 (on 0-10 scale) and above are exempted from requirement of GATE qualification. They may be admitted to M.Tech. Program under TA/RA positions through written test and/or interview. Regards.

Getting into IIT Bombay- Admission
1) For all B.Tech programs- JEE Advanced
All the IIT aspirants have to sit for JEE Main and afterwards, JEE Advanced. Only the top 150,000 scores in JEE Main will become eligible to sit for JEE Advanced.
2) IIT Bombay Eligibility
JEE eligibility criteria apply to all the IITs for admissions to their undergraduate programs. Based upon their score and rank in the JEE Advanced exam, shortlisted candidates are called for counseling. Regards.

Hi Rohit!
Yes, Industrial Design Center which was set up by IIT Bombay does offer M.Des in Mobility and Vehicle Design. You can find a detailed information about the course on this page https://www.shiksha.com/design/industrial-product-design/course/m-des-in-mobility-and-vehicle-design-industrial-design-centre-iit-bombay-idciitb-powai-mumbai-255083.