JEE Main Scores

Your score is great with respect to your caste. Check the college predictor:
: https://www.resonance.ac.in/reso/news/JEE-Main-Branch-Predictor.aspx

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 Saurabh,
In this college, admissions are normally based on MHTCET. However, some seats against All India Quota are filled by JEE Mains ranking. But your ranking is really low and I fear you have only a slim chance.

No, at first you have to clear your compartment exam then you can take provisional admission in some college.

Nope, you will not get admission in any branch in NIT Patna on this rank. For more queries, go through the below link-
http://josaa.nic.in/Result2016/result/OpeningClosingRank.aspx

To be on safer side you should get above 100 marks in JEE Mains.

Hello Sanjay,
You have received 21 marks out of 360 in JEE Mains. Have you analysed as to what went wrong? With these marks, it's quite tough to get admission in any college.

Hello Rahul,
It's good to know your dream. But I felt you perhaps have scored a bit less marks in JEE Mains. However, I am attaching a link that will predict a college for you.
https://www.resonance.ac.in/reso/news/JEE-Main-Branch-Predictor.aspx

Hello Shubham,
Frankly speaking, I would strongly advise you to analyse as to why you have scored so less marks? Both in JEE Mains and 12th. You may get admission in engineering college but is it worth it? What interests you? What is your passion? Go with this flow.

Hello Ritika,
Your score is too low to get admission in any good colleges, however, there are many colleges that will offer admission on your marks but they are simply worthless, so figure out what went wrong and prepare well for next year.
All the best.