Engineering Entrance Exam

Hello Ankit,
Yes, you can get it as your rank is less so you get admission in NITs for automobile engineering, be a part of the counselling conducted by JoSAA after the results of JEE Advanced exam are announced.
All the best.

Hello Lovely,
Please follow the link provided below for complete details about the books according to your branch form which you have done your B.Tech:
https://www.shiksha.com/engineering/articles/gate-books-blogId-21817

Firstly, you can solve NCERT (physics) then you can solve HC Verma and you are fully prepared for boards and for IIT, you can solve the objective questions of physics.

Check the link below for knowing admission criteria:
http://www.jiit.ac.in/admission-procedures

Hello Abhishek,
You can go through the link provided by the college last year
http://www.nirmauni.ac.in/itnu/btech_AI_Cutoff
Your rank must be less than the closing rank of the specified branch.

You cannot get a government college but you can try in private colleges.

Hello Sanjoy,
You can go through the link given below for colleges under WBJEE, here you can mention your marks and then civil engineering branch and you get the college details:
https://www.shiksha.com/b-tech/resources/wbjee-college-predictor

Hello Ashish,
JEE Mains and JEE Advanced are the only entrance examinations that provide admission into government engineering colleges. While JEE Advanced provides admission into IITs, JEE Mains provide admission into NITs and other government engineering colleges.
I hope this answers your question. If you have any further questions, kindly revert.

You should try for private colleges and government colleges of your state.