It is indeed true that TAPMI has a good reputation in the market, and it is well known for providing quality education and attracting high-quality students. Marketing exposure and placement for Marketing students are considered to be particularly strong at TAPMI, making it a popular choice for students interested in this field.

IMT Nagpur, on the other hand, also has its own strengths and maybe a better fit for some students. As you mentioned, the number of students per batch is a concern for both TAPMI and IMT Nagpur, and this could potentially impact the quality of education and the individual attention that students receive from faculty. Before making a final decision, it is indeed a good idea to visit the college websites and read the placement reports provided by NIRF to gain a more comprehensive understanding of the colleges' strengths and weaknesses.

In terms of the strict rules regarding attendance, it is important to be aware of these before making a final decision. Strict rules and regulations can be challenging for some students, so it is crucial to carefully consider your own study habits and how well you are likely to adapt to such an environment.

Ultimately, the best way to determine which college is right for you is to weigh your individual career goals, preferences, and priorities against the strengths and weaknesses of each college. By doing so, you can make an informed decision that will help you reach your full potential and achieve success in your chosen field.

IMT Nagpur and IMT Hyderabad are considered good B-Schools, better than TAPMI and LBSIM but IMT Nagpur is more established and has a better reputation, which puts it higher on the list. However, this ranking can vary depending on the factors that are being considered, such as faculty quality, campus infrastructure, industry linkages, and alumni network, among others. Additionally, personal preference and individual career goals should also be taken into consideration while evaluating the B-Schools. 

It is always recommended to visit the campus and talk to current students and alumni before making a final decision.