TMISAT

IMUCET is the entrance examination for colleges affiliated to IMU whereas TMI has its own screening test called TMISAT. The intention is to check your basic knowledge in science, maths and English, aptitude additionally. If you are well versed with what you learnt in class 12, I don't think you need much preparation. As far as English is concerned, you need to work on your grammar. Even if you manage to clear the English exam, with poor English you wouldn't be able to sustain the interview. Students who are weak in English but have an excellent academic record are considered and are usually called a week before the sessions begin for English tutorials in TMI. Comparing both TMISAT and IMUCET is irrelevant as both of them hold equal integrity. The only thing I would say is you need not prepare separately provided you have studied well for the boards.

1. Age Limit:
Applicants must not be more than 21 years of age, as on September 1, 2017. Female applicants must be 22 years as on September 1, 2017.
The minimum age limit is 17 years.
2. Qualifying Exam & Pass Percentage:
Applicants must have passed 10+2 securing minimum aggregate marks of 60%.
Applicants who have appeared in 10+2 in the year 2017 will be considered eligible to take TMISAT 2017.
3. Subjects to study in qualifying exam:
They need to score the qualifying marks taking Physics, Chemistry and Mathematics together in 10+2.
4. Other Boards:
Candidates who have appeared in International Board need to submit an Equivalence Certificate from Association of Indian University along with relevant documents as mentioned below, while submitting the filled-in application form.
5. Entrance Exam:
All applicants must have appeared and qualified in IMUCET for the year 2017.
6. Medical Fitness.

Tolani Maritime Institute is conducting TMISAT 2018 in the first week of May. TMISAT 2018 examination AIMS to test the problem solving skills, language skills, reasoning skills, subject knowledge, and general knowledge, and aptitude and personality traits of the candidates. It includes Physics, Chemistry and Mathematics sections.
Algebra by M. L. Khanna
Bernard & Child Higher Algebra
ABC Chemistry
Arihant Organic Chemistry
Concept of Competition Physics for CBSE PMT by Aggarwals
Calculus and Analytic Geometry by G. N. Berman
HC Verma for Physics
Morrison Boyd for Organic Chemistry
Peter Atkins and Julio de Paula for Physical Chemistry
R. S. Aggarwal Maths XI & XII
English Proficiency IMS India
High School English Grammar & Comprehension, Wren and Martin
A Communicative Grammar of English by Geoffrey Leech
NCERT- Physics Part 1 and Part 2
Physics: CBSE PMT set of 3 Volumes by Anil Aggarwal
I personally suggest you to just follow NCERT and prepare on your own, without much reference to other books. We will help you through mentoring from time to time in any case of difficulties that you face during your preparations.