Engineering Entrance Exam

Yes, surly you can get, but I dint think it would be a core branch.

You can take admission in around 111 colleges under Gujarat Technological University (GTU), by simply applying to ACPC following by counseling, but from this year GTU started considering their own exam named GUJCET, therefore the seats are going to be distributed between GUJCET and JEE, also there are top private university like NIRMA, PDPU, Parul University, where you can directly apply through their own application form, and if you are eligible, they will admit you.

If you don't have 75% marks in board exam, then you are eligible.

For CSE you should atleast have around 300 marks.

BA College of Engineering & Technology
Birla Institute of Technology, Mesra
NIT Jamshedpur
Guru Gobind Singh Educational Society's Technical Campus
University college of engineering and technology
Cambridge Institute of Technology

Yes, your rank is good. You can try for good college, you have to take a chance in good college according to your branch preferences, then it will confirm that college is good or not according to your branch.

The expected cut off for any rank will depend on many conditions like rank, categories, and branch, if you tell me these information, then I will suggest the cut off.

Counseling will be done online for JEE, if you want to pursuing in this college, then you have to cross the cut according to your branch that will clear in counseling.

Yes, you have a chance to get admission in it.