NIT

With this score and rank in JEE Mains I'm sorry to say there are very slim chances of getting the college that you have mentioned above and for the advance there are chances but they are very less.
It will be better to wait for the result and then think about it.
For the college that you will get with your rank you can follow the link in the end of the answer.
http://josaa.nic.in/Result2016/result/OpeningClosingRank.aspx

Hello Sujit,
To get admission in NITs, you need to have 75% marks in your board exams as you have got only 50%, you have no chance to get an NIT. It is better if you choose a college that offers admission based on both JEE Main scores and board exam scores.
All the best.

Hello,
There are very low chances for you to get NIT with this score. If you belong to the general category then you will not be deemed qualified. You might get an NIT if you belong to SC/ST category, but there are no chances of getting a college.
You just need to score 75% in HSc to satisfy the eligibility criteria, your JEE Mains core should be good. So, try for some better colleges with your board exam marks or with both JEE Mains and board marks.

Participate in the counselling process. Your marks are above the par line for SC students (32).

Hello Apoorva,
The official opening and closing ranks of each NIT, IIIT, GFTI and IIT will be released only after the results of JEE Advanced exam are announced. The counselling will be tentatively starting in the first week of July 2017.
For the previous year closing and opening ranks refer:
http://josaa.nic.in/Result2016/result/OpeningClosingRank.aspx

Hello Mohit,
If only you could have scored just 25 marks more, admission would have been certainty. But, don't worry. I am attaching a link that will predict college for you:
https://www.resonance.ac.in/reso/news/JEE-Main-Branch-Predictor.aspx

Hi,
The JOSAA counselling for the admission into NITs, IITs, IIITs and GFTIs will start only after the announcement of the results of JEE Advanced 2017. Till then you need to wait. You should apply for counselling through www.josaa.nic.in

It depends upon the rank of JEE Mains. 12th mark is just for your eligibility for JEE Mains. Depending upon the rank do check the JOSAA's previous year opening and closing rank to get an idea of which college and which branch you can apply for. About better courses, CSE and IT are presently the best in terms of placements.

You can get an NIT still the chances are not high. But still, you can get some branch in an average NIT