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 6k st rank

You have low chance in Indian  Institute of Information Technology, Design & Manufacturing, Kancheepuram for any branch

For example,

In 6th round of josaa counselling 2020,

--------)  Indian  Institute of Information Technology, Design & Manufacturing, Kancheepuram  cut off/closing rank  for st category for gender neutral was  3867 st rank and it was for Smart Manufacturing (4 Years, Bachelor of Technology)

You can check the same at

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

But yes,

You have chances in GFTIs like

----------)Institute of Technology, Guru Ghasidas Vishwavidyalaya (A Central University), Bilaspur, (C.G.) :- Industrial and Production Engineering:- 6635 st rank

----------)Sant Longowal Institute of Engineering and Technology:- Food Technology:-6799 st rank

----------)National Institute of Food Technology Entrepreneurship and Management, Sonepat, Haryana :- Food Technology and Management:-6852 st rank

This prediction is on the past year data basis but  cut closing rank for colleges changes every year depending upon factors like number of candidates that write jee main examination, difficulty level of the question paper for different shifts of jee main 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

Thank you