There are many reasons why MS is a much more preferred program than MTech these days. 

Fees: The MTech fees at IIT Madras are more than that of MS thus making MS a much cheaper option.

Placement: MS has better placements than MTech at IIT Madras. 

Stipend: M.S. students receive an average of 1 lakh rupees as stipend whereas MTech students may not get stipend anymore.

International exposure: MS students get enough international exposure through international conferences which is not possible for MTech students.

Selection Procedure: The selection procedure for the MTech program just requires a good GATE score and thus the quality of students is not as good as MS. The selection process of the MS program requires a GATE score, written test heat, and even an interview. The selection criteria being difficult, filters only the best for the course.

Considering the fees, placements, and selection procedure we can safely conclude that MS is a much-preferred option over MTech today.

IIT Madras is the best choice for MTech in Chemical Engineering. Some reasons that support my claim are

• Being a metropolitan, Madras ensures better living standards and transport facilities thus attracting more faculty.
• The R and D centers of most top MNCs are located in Bangalore and Mumbai. Owing to the proximity Madras is preferred over KGP.
• Most process industries prefer BTech students over MTech students as chemical engineers. Only R and D and Consulting companies look for MTech students for core jobs.
• Better facilities attract better students thus you will find a better class of peers at IIT Madras in contrast to IIT KGP.
• The faculty comprises professors belonging to various fields and cultures whereas IIT KGP has more Bengali professors.

Thus, considering the demand for PG students and facilities at IIT Madras, it seems to be a better option for MTech than KGP.

This is a common dilemma faced by many who are applying for MSc. It requires a great research-oriented approach and thus the choice of the Institute should depend on the research work and projects offered by that institute. One needs a wide range of choices of courses so that you can select the one that matches your area of interest.

Before researching campus life, look up the faculty profiles available on the official website of the institutes. Once you come across a profile with the kind of research work you are looking for and want to work on, then choose that particular Institute.

My friend chose IIT Madras because she found diversity in the fields people worked in there. You can find people working in almost every field from Experimental Condensed Matter, Theoretical Condensed Matter, Nanotechnology, General relativity, and cosmology to String theory, Quantum computation, and chaos, High energy - particle physics, Theoretical and Experimental Optics, and Mathematical aspects.

IIT Madras maintains the right balance between Experimental and Theoretical Physics which is sometimes not possible at other IITs. Despite this many flocks to IIT Kharagpur mainly because of herd mentality. In reality, IIT Madras has a lot to offer provided you are committed to doing your part of your efforts. 

Aerospace Engineering can be further divided into four parts 

• Aerodynamics - An extension of fluid mechanics 
• Structures - All about mechanics of materials
• Propulsion - A good base in aerodynamics will help you 
• Controls and dynamics - Mainly used for navigation 

Apart from this there is a lot of Math involved in the curriculum.

The aerospace engineering branches of all the institutes you mentioned give an edge to each other and are equally good. The choice should be based on personal preference, accessibility, campus life, academics, extracurricular activities and placements.

IIT Kharagpur: Pros

• Massive and surreal campus 
• Less academic burden
• Good faculty pool with experienced professors that are easier approachable.
• Companies like Airbus, GE, Honeywell, Altair, Rolls Royce, etc come for placements in the core sector.
• Some of the students go for higher studies in foreign universities like Purdue, Texas A&M, University of Texas, Austin, etc
• IIT KGP offers the Boeing Project wherein a team of 5 fabricates all parts of an Unmanned Aerial Vehicle (UAV). On clearing the selection procedure, you will also be offered a scholarship of about 10k per month for an entire year.
• I am not gonna mention any of the institutional activities (clubs, societies, fests etc.)because I reckon the scenario will be pretty much the same in all the aforementioned colleges.

IIT Kharagpur: Cons 

• It’s not easily accessible to students from Western and Southern States.
• Kharagpur is a town and lacks many amenities apart from its large railway station.
• Mess food is not good at all
• The huge campus delays the time taken to reach the academic area.
• The core companies only select the best students and a major portion of the batch has to go for non-core placements.
• Aerospace Engineering in India has very few job prospects though we expect the scenario to improve a bit 
• You can also apply for off-campus placements at DRDO or ISRO.

Judging a branch solely on the basis of placements is misleading. Yet, most students end up with decent jobs. The best part is that the course curriculum of aerospace engineering is intriguing and keeps you hooked.

At IIT Madras, you have the privilege of having taken a course in R&D Management at the Department of Management Studies (DOMS) at the institution. The course is renowned for its comprehensive curriculum that covers various aspects of R&D management, including product development, project management, and technology commercialization. The faculty is well-experienced and knowledgeable in their respective fields, and they are known to provide valuable insights and guidance to students. The DOMS at IIT Madras is well-equipped with state-of-the-art facilities and infrastructure, making it an ideal place to pursue management education.

IIM Visakhapatnam, on the other hand, is one of the new IIMs that was established in 2015. It offers the Post Graduate Program in Management (PGP), which is designed to provide students with a comprehensive understanding of the various functional areas of management, as well as the skills and knowledge required to become successful managers. IIMs have a well-established brand name in the field of management education and are known for their rigorous curriculum, highly-qualified faculty, and excellent placement record.

In conclusion, both IIT Madras and IIM Visakhapatnam are reputed institutions that offer quality management education. The choice between the two will ultimately depend on your personal and professional goals, as well as your preferences. You should consider factors such as curriculum, faculty, infrastructure, and location, among others, before making a decision. It is also recommended that you research both institutions in-depth and visit their campuses to get a better understanding of the learning environment and culture.