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Hello aspirant,
For 87 percentile your JEE Mains Paper-1 expected Overall Rank will be around 132990 - 149500 . For this rank you can get very few NITs.
List of NITs you have chances of getting seat.
You can predict your JEE Mains rank using JEE Mains Rank Predictor. It prediction is based on previous year's data.
Rank Predictor-
https://engineering.careers360.com/jee-main-rank-predictor
You can go through JEE Mains cutoffs using below links. These cut-offs are based on previous year's cut-off trends. So, you have have a look of cut-offs of JEE Mains of various colleges using below links.
B.Tech/B.Arch Admissions OPEN
Cutoff-
https://engineering.careers360.com/articles/jee-main-cutoff
Official cutoffs for NITs, IIITs, IITs, CFTIs-
https://josaa.nic.in/Result/Result/currentorcr.aspx
You can predict which colleges you can get for your JEE Mains rank using below link. This analysis is based on previous year's opening and closing ranks of various colleges.
College Predictor-
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
Hope this information helped you.
Good Luck!!
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