Hi

Your profile suggest that your home state is west Bengal

I am assuming you from general category

With 86.54 percentile

• Your rank will be  around  137696 - 154790  as per our rank predictor at

  JEE Main Rank Predictor 2021 - Predict your JEE Main ...

  JEE Main Rank Predictor - Know your expected IIT JEE Main 2021 Rank by ...

I am  sorry to tell you but with this rank you have low chances in any NIT, even in lower ones.

For example,

Cosing 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 under other state  for general category  :-

• National Institute of Technology Sikkim, Civil Engineering :- 47412

• National Institute of Technology, Mizoram, Civil Engineering:- 49757

• National Institute of Technology Agartala, Biotechnology and Biochemical Engineering :- 50,010

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 45,000 - 50,000 to get into even lower NITs. And to get a rank in this range, you need at atleast around 95.5 - 96 percentile .

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

----------)Madhav Institute of Technology and Science, Gwalior :-:- https://www.careers360.com/colleges/madhav-institute-of-technology-and-science-gwalior/cut-off

----------)Dr CV Raman University, Bilaspur:- https://www.careers360.com/university/dr-cv-raman-university-bilaspur/cut-off

---------) Jabalpur Engineering College, Jabalpur:- https://www.careers360.com/colleges/jabalpur-engineering-college-jabalpur/cut-off

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

To improve your score in remaining attempts  of your JEE main you should focus on your preparation go through previous year question papers ,mock test papers and to help you in your preparation we have jee main knockout out for you, for which link is provided below

https://learn.careers360.com/knockout-jee-main

To help you further,

To give you an idea of qualifying cut off, JEE mains 2020  qualifying  CUT OFF percentile to be eligible for jee advanced is given below for different category

>>>> General :-     90.3765335

>>>> GEN-EWS :-  70.2435518

>>>> OBC-NCL :-  72.8887969

>>>> SC     :-           50.1760245

>>>> ST :-                39.0696101

>>>> PwD :-            0.0618524

You can check the same at our page the link is provided below

https://engineering.careers360.com/articles/jee-main-cutoff

ThankyouHi