Hello Aspirant,

No on such rank you have very less chances for any of the NITs/IIITs because the Closing ranks of last year were around 5k-6k for IIITs and 3-3.5k for NITs.

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, so I would recommend you to either go for state counselling for autonomous government colleges or 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

You can also check out the JEE-Main 2021 cut-off and know whether you have qualified for JEE-Advance 2021 or not, so it is given below :-

==>> Common Rank List (CRL) - 87.8992241-100.0000000 Percentile

==>> GEN-EWS - 66.2214845-87.8950071 Percentile

==>> Other Backward Classes (OBC-NCL) - 68.0234447-87.8950071 Percentile

==>> Scheduled Caste (SC) - 46.8825338-87.8950071 Percentile

==>> Scheduled Tribe (ST) - 34.6728999 87.8474721 Percentile

==>> PwD - 0.0096375-87.8273359 Percentile

You can check more details about JEE-Main 2021 cut-offs from the link given below :-

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

I hope this information helps you.

Good Luck for your future!!