Hello Aspirant,

On such rank any NIT or IIIT or GFTIs seems to be quite difficult  but you can go some government autonomous institutions of some states like Rajasthan, MP, Gujarat and likewise.

If we go through previous year's data of seat allotment On the basis of data mentioned in the question by you, you can go for the enlisted colleges :-

MBM Engineering College, Jodhpur

SRM Institute of Science and Technology, Chennai

GEC Ajmer

Bharati Vidyapeeth Deemed University College of Engineering, Pune

And some more.

Note that the above list is merely a prediction which has been made on the basis of latest cut-offs 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.

So you can use JEE-Main College Predictor to predict your chances of admission in different engineering colleges of India on the basis of your JEE-Main 2021 result :-

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!!