Hi

Your profile suggests that your home state is karnataka

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  14000 st rank

You have low chance in 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,

Some of the government engineering colleges in which you hold a chance are listed below along with their previous year cut off link :-

-------) 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

Thank you