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Hello Aspirant,
It will be difficult for you to get high demanding branches in top colleges.
Cutoff varies every year. Keep in mind that your chances to grab a seat will vary on the following basis:
Number of seats available
Number of students applied for the same branch
Performance of the students
The category you belong to etc.
You can go for JOSAA and CSAB counselling. Also, you can apply for central University. There you will get more advantages to get colleges.
Here are some colleges based on your rank :
Go through this link to get detailed information about total number of seats NITs :
https://engineering.careers360.com/articles/nit-seat-matrix
Use the below link to get list of colleges that you can get based on your rank :
https://engineering.careers360.com/jee-main-college-predictor?utm_source=qna&utm_medium=jee_cp
check out the previous year's cutoff for NITs:
https://engineering.careers360.com/articles/jee-main-cutoff
You can also check out marks vs rank vs percentile from the below link:
https://engineering.careers360.com/articles/jee-main-marks-vs-percentile
Hope this information will help you.
Best Wishes!
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