Hi

With with 87 percentile

• your rank will be  around 132990 - 149500 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 ...

Your obc rank will be around 45,000.

With this rank, your chances of getting your seat in any IIIT for any branches is extremely low. You should try to get a obc rank of around 15000 to get into IIITs

For example,

In 6th round of josaa counselling 2020, IIIT closing rank is given below for some of the IIITs

• Indian Institute of Information Technology(IIIT) Una, Himachal Pradesh , electronics and communication :- 15738 obc rank

• Indian Institute of Information Technology(IIIT), Vadodara, Gujrat , Information Technology :- 10139 obc rank

• Indian Institute of Information Technology, Design & Manufacturing, Kancheepuram , mechanical engineering:- 13620

You can take the same at

https://josaa.nic.in/Result/Result/currentorcr.aspx

Above prediction  is on the basis of past year data but  cut off/closing rank for colleges keeps changing every year depending upon many factors like number of students that appeared in the examination, difficulty level of the JEE main question paper for different shifts etc so

To have a personalised report on your chances of getting a college you can go through our college predictor, it will give you complete list of colleges which you can get on the basis of the category you belong to,  your home state, your gender etc, the link for  jee main college predictor is provided below

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

Try to get at least around 95 percentile. To improve your score in remaining sessions of JEE main you should focus on your preparation go through previous year question papers ,mock test papers and to help you in your preparation we have jee main knockout out for you, for which  link is provided below

https://learn.careers360.com/knockout-jee-main-april/

If you have any other doubt then you can always reach us to clear them :) we are always available to help you out and guide you

Thankyou