Hi

Your profile suggests that your home state is Telangana

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  12000 st rank

You have extremely low chance in any NITs.

For example,

Under other state quota , closing rank for some of the lower nits for which closing rank goes low are listed below along with their closing rank in the 6th round of josaa counselling 2020 for st category  :-

• NIT Mizoram ,civil engineering :-   2975 st rank

• Nit nagaland ,Electronics and Instrumentation Engineering :- 3086 st rank

• National Institute of Technology Agartala,    Biotechnology and Biochemical Engineering:- 3521 st rank

You can check the same at

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

From above, it is clear that you need at least a rank of around 3500 st rank to get into an NIT .

But yes,

You have chances in some of the state government engineering colleges under other state which are listed below along with the link for their previous year cut off  :-

-------) 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

And a few more

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

To help you  further,

Minimum percentile in jee main 2021 to qualify it to  be eligible for jee advanced 2021 is given below :-

--------) 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