Colleges in Patna

It depends on what branch you are getting there.And if you talk about similar branches, then JMI is far better than NITP

No, there is no such course offered by NIT, Patna. For more querries, go through the official website of NIT, Patna.
nitp.ac.in

For Civil in NIT Patna, last year closing ranks were 26279 for other state students and 26097 for home state quota. So, according to these datas, you may get admission in NIT Patna in civil branch. For more queries, go through the below link-
http://josaa.nic.in/Result2016/result/OpeningClosingRank.aspx

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

From the view of last year closing ranks, I think you cannot get the mechanical or electrical branch in NIT-Patna and it is also hardly possible in NIT Sikkim. If your home state is Sikkim then you may get. For more queries, visit the link:
http://josaa.nic.in/Result2016/result/OpeningClosingRank.aspx.

You can refer to the link: https://goo.gl/JO4Ez4