Hi

With 87.04  percentile

• Your rank will be  around 132581 - 149040  as per our rank predictor at

  JEE Main Rank Predictor 2021 - Predict your JEE Main ...

  JEE Main Rank Predictor - Know your expected IIT JEE Main 2021 Rank by ...

With this rank, your chances of getting a seat in NIT, IIITs is low.

But  yes, as per past year trend,

You  have chances in government engineering college, some of which are listed below along with  their previous year cutoff link :-

-------) Mizoram University, Aizawl:- https://www.careers360.com/university/mizoram-university-aizawl/cut-off

------) Sant Longowal Institute of Engineering and Technology, Longowal :- https://www.careers360.com/university/sant-longowal-institute-of-engineering-and-technology-longowal/cut-off

------) Tezpur University, Tezpur:- https://www.careers360.com/university/tezpur-university-tezpur/cut-off

To help you get the complete list of colleges on the basis of the category you belong to,  your home state, your gender etc, we have jee main college predictor, the link for which  is provided below

https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer

Minimum percentile in jee main 2021 to qualify it to  be eligible for jee advanced 2021 is given below :-

- -------) general :-87.8992241 percentile

††† so, with 87.04 percentile i. e less than 87.8992241 percentile you are not eligible for jee advanced .

--------) EWS:- 66.2214845 percentile

--------) OBC-NCL :- 68.0234447 percentile

--------) SC :- 46.8825338 percentile

--------) ST:- 34.6728999 percentile

--------) PH :- 0.0096375 percentile

Thank you