No, with a OBC NCL Rank of 51k, in spite of being from OBC Category and Female Quota, you wont secure a seat in NIT Patna (Home State) and neither in any other NIT/IIIT/GFTI under All India Quota. For more information and College Prediction do follow the link below

https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer

Hello aspirant,

I hope you're doing well as for your query,

- According to previous years closing ranks, it seems hard getting an admission to NITs.

- Visit the given link below to see JEE MAINS 2020 NIT closing ranks:

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

- You might try this year though, or can go for private colleges too.

- Also if you would like to explore more colleges to get an admission with your rank, try the college predictor with the following link:

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

I hope it helps

Best of luck