Hello Aspirant,

Considering that you have mentioned your OBC rank because OBC rank is to be considered for allotment, if it is CRL rank then kindly correct me in the comment section below.

As we go through the latest cut-offs of JEE-Main 2021 of JOSAA 6th round then it shows that the closing OBC rank for Indian Institute of Engineering Science and Technology, Shibpur in 2021 was around 24.5k under Home state quota, so with the mentioned OBC rank you have very less chances to get Indian Institute of Engineering Science and Technology, Shibpur.

You can check out the latest cut-offs from the link given below :-

https://josaa.admissions.nic.in/Counseling/seatallotmentresult/currentorcr.aspx

Note that the above prediction is made on the basis of latest cut-offs available on official website of JOSAA or CSAB and the cut-offs are bound to change every year depending upon various factors such as the number of candidates appearing in an examination, the number of candidates qualifying an examination, difficulty level of the paper, and so on.

To have a list of all those colleges which you can get based upon your JEE-Main score or rank you can use JEE-Main College Predictor:-

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

As the cut-offs are released along with the JEE-Main 2022 result so now you can check whether you have qualified for JEE-Advance 2022 or not, JEE-Main 2022 qualifying cut-offs are enlisted below :-

==>> Common Rank List (CRL) -  88.4121383 percentile

==>> GEN-EWS - 63.1114141 Percentile

==>> Other Backward Classes (OBC-NCL) - 67.0090297  Percentile

==>> Scheduled Caste (SC) - 43.0820954 Percentile

==>> Scheduled Tribe (ST) - 26.7771328 Percentile

==>> PwD - 0.0031029 Percentile

You can check out previous year's cut-off trends from the link given below :-

https://engineering.careers360.com/articles/jee-main-cutoff

I hope this information helps you.

Good Luck!!