Hi

I am assuming that you belong to general category

With 66.66 percentile

• Your rank will be  around 341068 - 383410 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 ...

With this rank, your chances of getting a seat in NIT, IIITs is extremely low.

You may not even qualify JEE main examination

For example,

In 2020, qualifying cutoff for general category was 90.3765335 percentile. You can check the same at our page the link is provided below

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

Some of the engineering colleges in which you hold a good chance are listed below along with the branch and the link for their previous year cutoff  :-

• *Murshidabad College of Engineering and Technology, Murshidabad :- B.Tech Electrical Engineering , B.Tech Civil Engineering , https://www.careers360.com/colleges/murshidabad-college-of-engineering-and-technology-murshidabad/cut-off

• *Budge Budge Institute of Technology, Kolkata, B.Tech Civil Engineering, : https://www.careers360.com/colleges/budge-budge-institute-of-technology-kolkata/cut-off

• *College of Engineering and Management, Kolaghat ,B.Tech Information Technology :- https://www.careers360.com/colleges/college-of-engineering-and-management-kolaghat/cut-off

Above prediction of colleges is on the basis of past year data but  cut off/closing rank for colleges keeps changing every year depending upon many factors like number of students that appeared in the examination, difficulty level of the JEE main question paper 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

To improve your score in remaining sessions of 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  is provided below

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

Thank you