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Hello Aspirant,
With this rank it will be difficult for you to get high demanding branches in top colleges.
Cutoff varies every year depending on various factors. Keep in mind that your chances to get a seat will depend 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.
Use the below link to get list of other colleges that you can get based on your rank :
https://engineering.careers360.com/jee-main-college-predictor?utm_source=qna&utm_medium=jee_cp
Go through this link to get more information about private colleges :
https://engineering.careers360.com/colleges/ranking/top-private-engineering-colleges-in-India-accepting-jee-main-score
check out the previous year's cutoff :
https://engineering.careers360.com/articles/jee-main-cutoff
Use the below link to get all details about private colleges in UP:
https://engineering.careers360.com/colleges/list-of-engineering-colleges-in-uttar-pradesh-accepting-jee-main
Hope this information will help you.
Best Wishes!
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