As you are not a resident of West Bengal, then it is going to be difficult to get any seats in Institute of Engineering and Management. Most probably, the closing rank in IEM is around 2500-3000. Maximum 3500 after round 3. So there is less chances to get any seat at this rank unlesa you belongs to any reservation category.
But you have a slim chance to get into Heritage Institute of Technology. Otherwise, there are another renowned private colleges like Techno India main campus,  Techno India College of Technology etc.
These are also good colleges , provides quality education and placement.
Good luck..

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