Hi

It's quite difficult to predict because cutoff keeps changing every year depending upon various factors like :-

******number of students that appeared in the  jee main exam,

****** number of available seats,

****** performance of different students in the examination,

****** the category you belong etc.

But yes,

When we go through previous year trend then

>>>>> with 15790 sc rank

You have low chance in NITs.

For example,

-------------) Under your homestate

Under Maharashtra home state quota, In the 6th round of josaa counselling 2020 , the closing rank/last rank for sc category in NIT Nagpur was 7321 sc rank and it was for Mining Engineering

-------------) Under otherstate

Under other state quota closing rank for some of the lower NIT for SC category is provided below as 6th josaa counselling 2020 :-

• NIT Mizoram :- civil engineering :- 8376 sc rank

• Nit nagaland :- Electronics and Instrumentation Engineering:- 8641  sc rank

• National Institute of Technology Agartala, Production Engineering :- 9207 sc rank

You can verify the above at

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

So, you need at least sc rank of around 8000 - 9000 for nits.

But yes,

You have chances in some of the government engineering colleg which are listed below along with the link for their previous year cutoff :-

-------) Vikram University, Ujjain :- https://www.careers360.com/university/vikram-university-ujjain/cut-off

-------) Institute of People's Science and Technology, Chitrakoot :- https://www.careers360.com/colleges/institute-of-peoples-science-and-technology-chitrakoot/cut-off

-------) University Institute of Technology Rajiv Gandhi Proudyogiki Vishwavidyalaya, Shahdol:- https://www.careers360.com/colleges/university-institute-of-technology-rajiv-gandhi-proudyogiki-vishwavidyalaya-shahdol/cut-off

This prediction of colleges is  based of past year data but  cut off or closing rank changes every year depending upon many factors like the number of students that give the examination, difficulty level of the JEE main  for different shifts 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

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