Hi

Assuming you from general category.

Making  prediction is difficult as  cutoff  depends upon various factors like :-

-----------) number of students/ candidates  that appeared in the  jee main exam,

-----------) number of available seats,

-----------) performance of different students in the examination,

-----------) the branch you want,

-----------) the category you belong etc.

-----------) your rank in jee main

But yes,

When we go through previous year trend then

>>>>>>>>>  With  6791 rank

Yes, you can definitely get IIITs and nits as well.

You have chances in following  which are listed below along with their closing rank in 6th round of josaa counselling 2020 under other state/ all india quota   :-

IIITs

-------)Pt. Dwarka Prasad Mishra Indian Institute of Information Technology, Design & Manufacture Jabalpur:- cse :- 15413

-------)Indian Institute of Information Technology(IIIT) Kilohrad, Sonepat, Haryana:-cse:- 17628

---------) Indian Institute of Information Technology(IIIT), Vadodara, Gujrat:-cse:-21250

NITs

---------)National Institute of Technology Calicut, ECE :- 6864

---------)National Institute of Technology Allahabad, ECE :- 7138

----------) National Institute of Technology, Jalandhar:- computer science:-8053

----------) National Institute of Technology Durgapur:- computer science:-8215

---------) National Institute of Technology, Jamshedpur:- computer science:-8968

---------)National Institute of Technology Hamirpur:- computer science:-9617

And more

You can check the closing ranks  at official website of josaa by going through the link given below

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

Or

For previous year cut offs of top colleges like NITs, IIITs , you can also refer our page at :-

NITs :- https://engineering.careers360.com/articles/nits-cutoff-for-top-btech-branches

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

Above prediction has been made  considering  past year cut off data but  closing rank for colleges varies every year depending upon many factors like jee main question paper difficulty, number of students writing the exam etc so

To have a personalised report on your chances of getting a college you can go through our college predictor, it will give you complete list of colleges which you can get on the basis of the category you belong to,  your home state, your gender etc, the link for  jee main college predictor is provided below

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

This year minimum percentile in jee main 2021 to qualify it to  be eligible for jee advanced 2021 for different categories was:-

--------) general :-87.8992241 percentile

--------) EWS:- 66.2214845 percentile

--------) OBC-NCL :- 68.0234447 percentile

--------) SC :- 46.8825338 percentile

--------) ST:- 34.6728999 percentile

--------) PWD :- 0.0096375 percentile

Thank you