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Hello aspirant
Hope you are doing great there . Firstly you have mentioned a very wide rank comprising of almost 1 lakh students in between . If you manage to score 87 percentile in your jee mains , then you can get a seat in government college of your home state whereas at 80 percentile you won't be able to get a seat in any of your home state government colleges .
I would suggest you to work hard and try for score at least 90 percentile in your mains .
I hope my answer helps
Wish you all the very best !
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Dear aspirant,
As you didn't mentioned your category and home-state, I am taking you as a General candidate.
By providing us more specific information, we could help you to assist more.
As the competition is very high it seems impossible for a general candidate who scored 80-87 percentile can get a seat in any government Institute in India.
But you can take chance in some of the private institutions mentioned below,
1) Jaypee Institution of Information Technology, Noida
2) Techno Main, Salt Lake
3) MIT Academy of Engineering, Pune
4) Madhav Institute of Technology and Science, Gwalior
5) Kalinga University, Raipur, etc.
You can also use the JEE Main College predictor tool given below to know your other best admission possibilities.
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
Hope it helps you..
Best of Luck..
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