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

With 71000 obc rank,

You have extremely low chance in any NITs .

For example,

When we go through previous year trend then ,

--------------) Under your homestate

Under Uttarakhand home state quota, In the 6th round of josaa counselling 2020 , the closing rank/last rank for obc category gender neutral in NIT uttarakhand was 21902 obc rank .

---------------) Under other state

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 (4 Years, Bachelor of Technology) :-  15340 obc rank

• National Institute of Technology AgartalaProduction Engineering (4 Years, Bachelor of Technology :- 15659  obc rank

• National Institute of Technology, Surat:-Chemistry (5 Years, Integrated Master of Science):-16453 obc rank

You can verify the above at

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

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 :-

-------) IK Gujral Punjab Technical University, Jalandhar:- https://www.careers360.com/university/ik-gujral-punjab-technical-university-jalandhar/cut-off

-------) Indira Gandhi Engineering College, Sagar :- https://www.careers360.com/colleges/indira-gandhi-engineering-college-sagar/cut-off

------) Jiwaji University, Gwalior:- https://www.careers360.com/university/jiwaji-university-gwalior/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