Hey Aspirant  ,

I am afraid that you might not be able to get any branch in NIT Patna . But you might get some branches in other NITs:-

1.NIT Jalandhar - Bio Technology

2. NIT Agartala- Chemical Engineering                                                          Civil Engineering

Computer science engineering

EE

ECE

3. NIT Puducherry

For more accurate results I am providing you with a link to predict a college through JEE Mains rank

https://engineering.careers360.com/jee-main-college-predictor?utm_source=qna&utm_medium=jee_cp

I hope this helps!!