As you are not a resident of West Bengal, then it is going to be difficult to get any seat in Institute of Engineering and Management. Most probably, According to previous year analysis, the closing rank of IEM is around 2500-3000. Maximum 3500 after round 3. So it is difficult for you to get any seat there.
But you have slim chances to get into Heritage Institute of Technology, sometimes closing rank in HIT ranges between 7000-7300.
Otherwise there are many well known private colleges that provide quality education and placements. For example, Techno India college of technology,  Techno India Main Campus, RCC Institute of Information Technology, Netaji Subhas Engineering College etc.

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