Hello Aspirant,

As we go through the latest cut-offs of JEE-Main 2021 of JOSAA 6th round then it shows that you have good chances to get seat for Mechanical Engineering in Indian Institute of Engineering Science and Technology, Shibpur under EWS quota because in 2021 the closing EWS rank was 5386 for Other state male candidates.

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

I hope this information helps you.

Good Luck!!