For Finance, IIM Trichy is the best option. It has a great faculty base for this domain. Most of the faculty members are from IIM ABC. It is among the handful of B-School in India that has an association with CFA. 

According to the highlights of IIM Trichy placements 2021, 15% of the placement offers were made from the finance sector. The average CTC offered by the recruiters from this sector was INR 17.67 LPA. 

All the 3 baby IIMs namely IIM Udaipur, Ranchi, and Trichy are the top 3 among the new IIMs, so if you choose one over the other, it usually is a matter of personal preference. As far as I know, Udaipur fares better in terms of international rankings like QS, FT, and also NIRF in research, etc. This speaks highly of the future potential the institute has. In terms of placements, IIM Ranchi is a better choice. Here is a table with a comparative analysis of the 2 institutes.

Overall, the final decision is yours to make based on personal inclinations and priorities.

In most ways, IIM Udaipur and IIM Kashipur are similar. In terms of infrastructure, Kashipur had the first permanent building. But now Udaipur has as well. In terms of faculty, there isn't much of a difference; both are world-class in this regard.

Now comes the most crucial fact placement. Both are nearly identical in this case. Placement in the BFSI sector is the same in both. Kashipur is only four hours from Delhi and is located in a better industrial hub, so opportunities in sales and marketing are better. However, placement in the IT, consulting, and analytic sectors is better in Udaipur.

It is true that, at the moment, IIM Kozhikode is regarded as being a more powerful institution than IIM Udaipur. This is most likely due to the fact that IIM Kozhikode has been in operation for a longer period of time and has had more time to build its reputation and resources. However, it is important to note that this comparison is not entirely fair because IIM Udaipur is a relatively new institution with less time to develop than IIM Kozhikode.

In the long run, things could change and IIM Udaipur could eventually compete with IIM Kozhikode on a level playing field. This would almost certainly necessitate IIM Udaipur continuing to invest in its resources and reputation, while also ensuring that IIM Kozhikode does not continue to outpace it. Furthermore, it would necessitate IIM Kozhikode to slip from its position of relative strength, which is not guaranteed.

It is important to note that when comparing institutions, it is important to consider more than just their reputation or past performance. Other factors to consider include location, campus culture, industry connections, and the quality of faculty and students. Finally, it is up to each student to determine which institution is the best fit for them.

When comparing IIM Rohtak and IIM Udaipur, it is important to note that both institutes are Institutes of National Importance and are part of the second generation of IIMs. Both institutes excel in their respective areas of focus and trying to compare them would not do justice to these institutes. The suitability of an institute to a candidate depends on his or her aptitude and area of interest.

Some key points to consider when choosing between the two institutes include:

• Both institutes have the IIM brand tag, which provides an advantage for future growth and prospects.
• Both institutes have moved into permanent campuses, which is an advantage in terms of facilities and infrastructure. Both institutes' hostels are fully equipped with air conditioning and other essential services.
• IIM Udaipur focuses on academic research, whereas IIM Rohtak focuses more on finance and analytics. Both institutes are good in the marketing domain. IIM Rohtak is affiliated with the CFA Institute and students can receive scholarships for appearing for the CFA Examination.
• IIM Rohtak is located in the Delhi-NCR region, which allows it to conduct events like Start-up Expo and Management Summits in Delhi. IIM Udaipur is also well-connected via road, rail, and air transport.
• Both institutes have a student-driven culture, providing ample opportunities for students to learn and grow.
• Both institutes are comparable in terms of placements, however, IIM Rohtak was the first among the new IIMs to place all of its batches and the placement reports of IIMR are CRISIL-verified.

It is important to evaluate your own priorities, interests, and career aspirations when considering which institute may be a better fit for you. It might be helpful to take a look at their academic curriculum, and reputation and talk to the alumni or current students of these institutes before making a decision.

Both VGSoM (IIT Kharagpur) and IIM Udaipur are highly reputable institutions with strong reputations in their respective fields. However, VGSOM is known for its strong focus on technology and engineering and lacks an environment conducive to Management studies. IIM Udaipur on the other hand is known for its business and management programs. The IIM tag is a strong advantage for IIM Udaipur, and an MBA in marketing from an IIM is highly valued in the job market.

Moreover, IIM Udaipur ranked 81 in the Financial Times Global rankings and should be preferred over IIT Kharagpur in my opinion. The branch value of the MBA program plays a major role in shaping your career so make sure you choose it after deep research and analysis. IIT Kharagpur is an excellent brand for B.Tech, but not so much for MBA. In fact, the whole ambiance is different. 

Ultimately, the decision on which college to join will depend on your interests, goals, and career aspirations. It is important to do your own research and consult with professionals in both fields to make an informed decision.