Hello Aspirant,

Unfortunately you cannot get seat in any of the NITs or IIITs on such OBC rank even after considering your home state quota for NIT Patna because the closing OBC ranks were around 12-14k for NITs and for IIITs the figure goes till 15-16k and you are much far away from both the figures.

You can check out previous year's cut-offs from the official website of JOSAA as given below :-

https://josaa.nic.in/Result/Result/currentorcr.aspx

So on such rank and category you have no chance to get any of the NITs/IIITs/CFTIs/GFTIs , therefore I would recommend you to either go for private colleges or you can prepare for further attempts of JEE-Main and to help you in your preparation we have some resources which you can access from the link given below :-

https://learn.careers360.com/jee-main-coaching/?utm_source=%20QnA

Note that the above prediction is made on the basis of latest cut-offs available on official website of JOSAA or CSAB and the cut-offs are bound to change every year depending upon various factors such as the number of candidates appearing in an examination, the number of candidates qualifying an examination, difficulty level of the paper, and so on.

To have a list of all those colleges which you can get based upon your marks, category, and state you can use JEE-Main College Predictor:-

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

Now if you appeared for JEE-Advance 2021 then you must have got your result so to have a list of all those colleges which you can get based upon JEE-Advance 2021 score you can use JEE-Advance College Predictor:-

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

JEE-Advance 2021 cut-offs are mentioned below :-

>>> Common rank list (CRL) - 10.0 (Minimum percentage of marks in each subject) - 35.0 (Minimum percentage of aggregate marks)

>>> GEN-EWS rank list - 9.0 - 31.5

>>> OBC-NCL rank list - 9.0 - 31.5

>>> SC rank list - 5.0 - 17.5

>>> ST rank list - 5.0 - 17.5

>>> CRL-PwD rank list - 5.0 - 17.5

>>> GEN-EWS-PwD rank list - 5.0 - 17.5

>>> OBC-NCL-PwD rank list - 5.0 - 17.5

>>> SC-PwD rank list - 5.0 - 17.5

>>> ST-PwD rank list - 5.0 - 17.5

>>> Preparatory course rank lists - 2.5 - 8.75

I hope this information helps you.

Good Luck for your future!!