HI there,
Hope you are doing well.
With 6544 rank in IMUCET Exam and General Category, there are not any colleges in which you can get Marine Engineering or BSc in Nautical Sciences.
The only course you would be able to get is Diploma in Nautical Science leading to BSc in Nautical Science in IMU Mumbai, Kochi, Kolkata and Chennai Campus.

Hope it would help
Thank You

Hello dear aspirant

All the IMUs have a high cutoff,  if you belong to general category,  you need a minimum of 5k Rank for B. Sc nautical science and B. Tech marine engineering.
As per the last year trends,  your rank isn't enough to get you a seat in any of the IMU. As per the last year cutoff,  for IMU Mumbai,  3k was the minimum rank to get into B. Sc nautical science or B.Tech marine engineering.

Hope I am clear.

Magrahat College, South 24 Parganas

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