In order to study for marine engineering you can go for B.tech programme.
You can appear for JEE (Main+Advanced), BITSAT, VIT, SRM, Manipal and Amrita.You can also appear for your state level entrance exam.
You can check the top colleges for marine engineering below
Amity University, Noida
AU College of Engineering, Vishakhapatnam
Maulana Abul Kalam Azad University of Technology, Kolkata
University of Calcutta, Kolkata
University of Mumbai, Mumbai
Cochin University of Science and Technology, Kochi
Vels University, Chennai
Chandigarh College of Engineering and Technology, Chandigarh
CV Raman College of Engineering, Bhubaneswar
ndian Maritime University, Chennai
Good luck!!
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