IIT

Hi Nishant, A national level examination, GATE (Graduate Aptitude Test in Engineering) is a qualifying exam for admissions to post-graduate programs (e. g. , M.E. /M.Tech direct Ph.D. in Indian institutes of higher education with financial assistance provided by MHRD and other government agencies. GATE scores may also be used in public and private sector. https://www.shiksha.com/engineering/exams/gate.

First of all, mention your category.

Yes, you are definitely eligible for IIT and need to go for the counselling.

You can visit Kakadeo for the best coaching centre. Some options are:
KalraShukla, Akash and Ashish Vishnoi.

Kindly visit the link:
https://www.google.co.in/url?sa=t&source=web&rct=j&url=https://www.shiksha.com/b-tech/ranking/top-computer-science-engineering-colleges-in-india/46-2-0-0-0&ved=2ahUKEwihxPGkit_cAhURdCsKHdUjBe4QFjADegQIAhAB&usg=AOvVaw1A-HDJVYw6710sR70CKULg&cshid=1533787161782.

You cannot get any college as your marks are very low, but you can try for a private university and college.

You should go for JEE Advanced examination to get admission in an IIT or take GATE examination after you complete your graduation.

I didn't understand your question. Please elaborate.

For taking admission in IIT, you will need a rank below 1500 and marks at least 250+ in JEE advance to get easy admission in aeronautical engineering. I hope this will help you.
Good luck.

My answer is based towards placements and faculty.
1. IIT Bombay / IISC Bangalore
2. IIT Delhi
3. IIT Kharagpur & IIT Madras
4. BITS PILANI & IIT Kanpur
5. IIIT Hyderabad, NIT Trichy, Warangal, Surathkal
6. IIT Roorkee, IIT Guwahati, IIIT Delhi & IIIT Bangalore
7. NIT Calicut & Allahabad
I hope this will help you.
All the Best.