Hello aspirant,

Based on your percentile score you can get a seat in these govt. colleges-

• Beant College of Engineering and Technology
• Shaheed Bhagat Singh State Technical Campus
• Giani Zail Singh College of Engineering and Technology- Maharaja Ranjit Singh Punjab Technical University
• Govind Ballabh Pant University of Agriculture and Technology, Pantnagar
• Department of Technology, Shivaji University

JEE MAINS COLLEGE PREDICTOR-https://engineering.careers360.com/jee-main-college-predictor

Hello student you can calculate and get your rank by using this formula -
100 - (your total percentile) 869010 /100
In your case your rank must be around - 312930
Cut off vary every year on various on various factors like the level of question in the entrance examination and total number of applicants in that examination. With this rank its difficult to get admission in government college as we all know that seats are very limited and admission is directly based on merit rank.

I request you to please help me with your category so that I can check and provide you the exact information about.

Feel free to comment if you have any doubt
Good luck

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