Dear Student ,

According to your rank and caste category , you have very less chances to get any NITs (Including NIT Patna with HS quota) as per previous year cut off trends .

For clarification, you can find the previous year's cut off of various NITs from the following link:

https://engineering.careers360.com/articles/jee-main-cutoff-for-top-nits

Well, you need to remember that every  year's cutoff of JEE MAIN depends on some following factors :

• No of Students appeared for exam
• Seat Matrix
• Difficulty level  of exam

To find other NITs or any other well known colleges  for getting admission through your given rank and category , refer to this JEE Main college predictor link:

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

Hope this helps !
Best wishes !!