West Bengal

Jadavpur University [JU], Kolkata
Institute of Engineering and Management - [IEM], Kolkata.

You have not provided state rank, domicile, category, etc. , so it is difficult to predict with accuracy the college. According to your All India Rank, you have very little chance of getting admission there.

Candidates must have passed 10th and 12th with good score. Along with that atlest 92% in the exam given for the selection and than the overall results are based on merit

There are only a few best management institutes in Kolkata; however, only a few can place their students in some good and reputed companies. One such the best management institute in Kolkata is IEM Kolkata. Other good management institutes in Kolkata are :
1. IMI Kolkata
2. MDI Murshidabad
3. IISWBM, Kolkata
I am emphasizing more on IEM as it is one institute in West Bengal that is ranked as AAA, equivalent to the IITs and Iims of this country. Moreover, this institute has almost 100% placement records for engineering and management students. Some were successful in grabbing not just one but multiple job offers.

If a student fails internal exams in Future Institute of Engineering and Management anyhow, their parents are called to discuss about it. Attendance is really strict, too. You need to be attentive in order to not fail in internals. Even if you do, you can overcome next time.