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For admission to its undergraduate, graduate, and doctoral programmes, the Indian Maritime University administers the IMU-CET, or Indian Maritime University Common Entrance Test.

Currently, B. Tech and various masters-level degrees in ocean engineering and naval architecture are offered by the Indian Institutes of Technology at Madras and Kharagpur.

Please refer this link for syllabus, Eligibility details and other information.

https://www.careers360.com/courses/naval-architecture-course#:~:text=Entrance%20Exams%20for%20Naval%20Architecture&text=IMU%2DCET%3A%20The%20Indian%20Maritime,by%20the%20National%20Testing%20Agency.