Hi

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 3878 st rank

I am extremely sorry to tell you but with your rank you have a very low chance in NIT  Silchar in any branch even under  home state quota

For example,

In 6th round of josaa counselling 2020, closing rank for gender-neutral  for st category was  2815 st rank for Electronics and Instrumentation Engineering (4 Years, Bachelor of Technology) under home state in NIT silchar .

You can check the same at

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

you have chances in IIITs some of which are listed below along with their closing rank in 6th round of josaa counselling 2020  :-

----------)Indian Institute of Information Technology(IIIT) Kalyani, West Bengal:- cse :- 4431 st rank

----------)Indian Institute of Information Technology(IIIT) Kilohrad, Sonepat, Haryana:- IT :- 4795 st rank

----------)Indian Institute of Information Technology(IIIT) Una, Himachal Pradesh:-Electronics and Communication Engineering (4 Years, Bachelor of Technology):-5872 st rank

----------)Indian Institute of Information Technology Bhopal, ECE :-5641 ST rank

And 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