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  13938 obc rank

You have chances in following  nits and iiits which are listed below along with their closing rank in 6th round of josaa counselling 2020 under other state/ all india quota   :-

-----------) NIT Mizoram ,civil engineering :-14730 obc rank

-----------) National Institute of Technology, Jalandhar,  biotechnology engineering :-14504 obc rank

-----------) Nit nagaland ,Electronics and Instrumentation Engineering (4 Years, Bachelor of Technology) :-  15340 obc rank

-----------) National Institute of Technology Agartala:-Production Engineering (4 Years, Bachelor of Technology :- 15659  obc rank

-----------) Indian Institute of Information Technology(IIIT) Kalyani, West Bengal :- computer science :-14063 obc rank

-----------) Indian Institute of Information Technology Manipur:- computer science:- 15500 obc rank

-----------) Indian Institute of Information Technology Bhagalpur:- computer science :-15168 obc rank

And more

You can check the closing ranks  at official website of josaa by going through the link given below

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

Or

For previous year cut offs of top colleges like NITs, IIITs , you can also refer our page at :-

NITs :- https://engineering.careers360.com/articles/nits-cutoff-for-top-btech-branches

IIITs:- https://engineering.careers360.com/articles/jee-main-cutoff-for-top-iiits

Above prediction has been made  considering  past year cut off data but  closing rank for colleges varies every year depending upon many factors like jee main question paper difficulty, number of students writing the exam 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