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Hi Titli!
The process of application is online and offline for all the programs. Candidates have to download the application form online and submit to college. Candidates can also get the application form from the college.
Qualification required:
1. For Students coming from West Bengal Board/ Other Board/ University For admission to B.A. / B.Sc. / B.Com course ( General /Honours/ Major) a student is required to pass 10+2 course of W.B. Council of H.S. Education or other boards / Universities in five (5) recognized subjects (full marks not being less than 100 each) of which at least one shall be a language subject.
2. Students coming from other Universities / Boards may, however, be admitted only provisionally at their own risk. They are required to pay a Migration Fee and to furnish the Migration Certificate to the College Office within two months from the date of admission, failing which their provisional admission will be cancelled.
3. Candidates coming from other universities /Boards etc. are, therefore, advised to ascertain their eligibility from the Calcutta University before getting themselves admitted here.

You can look for state engineering colleges. Government colleges like IITs, NITs, IIITs will be difficult. State engineering counsellings of Madhya Pradesh, Rajasthan, Haryana, Odisha, Jharkhand andanh more accepts JEE Mains score. You can still get into state government funded/ autonomous institutes for ex:- SGSITS, IET-DAVV of M. P. accepts JEE Mains score. Also check the below government funded institutes-
Assam University, Silchar
Gurukula Kangri Vishwavidyalaya, Haridwar
Indian Institute of Carpet Technology, Bhadohi
Institute of Infrastructure, Technology, Research and Management- Ahmedabad
Institute of Technology, Guru Ghasidas Vishwavidyalaya, Bilaspur
National Institute of Electronics and Information Technology, Aurangabad
National Institute of Foundry & Forge Technology, Hatia, Ranchi
Sant Longowal Institute of Engineering and Technology
School of Engineering & Technology, Mizoram University, Aizawl
School of Engineering, Tezpur University, Napaam, Tezpur
School of Planning & Architecture, Bhopal
School of Planning & Architecture, New Delhi
School of Planning & Architecture, Vijayawada.

Suchitra
Here are the cut-offs for admission in IHM Bangalore:
Cut off for previous years for general category is
Opening Rank : 7
Closing Rank : 891
NCHMCT JEE Cut off 2017 (For all open candidates):
ROUND 1 (open)
Opening Rank : 69
Closing Rank : 871
ROUND 2 (open)
Opening Rank : 162
Closing Rank : 1561
ROUND 3 (open)
Opening Rank : 591
Closing Rank : 1882
NCHMCT JEE- Previous Years Cut off :2014 2015 2016
Scheduled Tribes 14225 16466 17349
Scheduled Tribes
physically disabled 0
OBC 6851 10351 5737
OBC
physically disabled 0 13158
Kashmir Migrant 1652 4034 1783
Open Category 1496 2766 1957
Open Category
physically disabled 7881 12777 9287
SC 8551 14186 11014
SC
physically disabled 0 21852.