Hello

Your profile suggests that your home state is UP

This is a little difficult to predict as closing or cutoff rank keeps changing every year depending upon a number of factors like number of students that appeared in JEE main, difficulty level of the examination , the category you belong etc

Anyway,

When we go through previous year trend then

• With 40k ews rank,

You have  low chance in any NITs .

For example,

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

---------) NIT Nagaland :- Electronics and Instrumentation Engineering  :- 8007 EWS rank

---------) NIT Raipur :- biotechnology :- 8096 ews rank

---------) National Institute of Technology Agartala:- production engineering :- 8629 ews rank

You can verify the above at

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

So, to get a seat in NIT you should get at least around 8000 ews rank

But yes,

Some of the government engineering colleges in which you hold a chance on the basis of past year closing rank are listed below along with the link for their previous year cutoff :-

-------) Indira Gandhi Engineering College, Sagar :- https://dqxeclau.top/colleges/indira-gandhi-engineering-college-sagar/cut-off

-------) Vikram University, Ujjain :- https://dqxeclau.top/university/vikram-university-ujjain/cut-off

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

-------) University Institute of Technology Rajiv Gandhi Proudyogiki Vishwavidyalaya, Shahdol:- https://dqxeclau.top/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