Applied Maths at IIT Roorkee is a more viable alternative than BITS Goa CS provided that you have an interest in coding. 

• The course structure of Applied Mathematics is quite similar to that of KGP MnC. Unlike the general assumption, this program isn’t research-oriented. Only a few who have a deep passion for Maths take up research as a much later endeavor.
• The best part of the program is the excellent job opportunities it offers. Its placements are second only to CS, the most preferred branch.
• You get to avail top-notch facilities provided by a leading IIT, Roorkee
• IIT Roorkee has the highest intake of this program even more than IIIT Hyderabad.
• The Applied Maths team bagged the 68th position in the ACM ICPC world Finals and the 2nd position in India.
• The course structure covers diverse topics like data structures, design, Analysis of algorithms, and discrete mathematics. All these topics help to strengthen the Computer programming base of students.

So, Applied Mathematics is a much better option than BITS Goa CS.

I believe IIT Bombay has a better campus life than IIT Delhi. Here are a few points to prove the same

• Events: Asia's largest technical event Techfest and cultural event Mood Indigo are organized by IIT Bombay. These are much superior and better than IIT Delhi’s 'Tryst' and 'Rendezvous' in terms of planning, entertainment, and scale.
• Transport: IIT Bombay has its own elaborate bus service inside the campus that runs 24/7 on CNG. IIT Delhi on the other hand just has 3-4 buses that run not more than 4-5 times during morning and evening. Hardly all the students are able to avail of this service because the buses are always fully occupied.
• Exotic Powai Lake: The hostels of IIT Bombay especially H12 and H13 offer a picturesque view from the balcony or rooftop and give a calming effect to the students conducive to learning. IIT Delhi on the other hand is located in the most polluted city and the hostels offer a similar unhygienic view.
• Restrictions: IIT Bombay has no rules regarding girls' and boys' hostels and students are free to visit opposite-gender hostels. IIT Delhi gives no such relaxation and gender mix is possible only during House Day, which is held once a year.
• Food and refreshments: IIT Bombay has an abundance of food and refreshments offered through kiosks, food stalls, and ice cream parlors. Although IIT Delhi too provides snacks, its food is not comparable to IIT Bombay.
• Mess food: IIT Bombay serves both non-vegetarian and vegetarian in their real sense whereas IIT Delhi caters to North Indians' taste buds mainly and the quality of food is also lower than IIT Bombay.

Some might find the above differences too minor, for them, it’s better to choose the one that aligns with their own preferences like location, etc.

Whether you should opt for MnC at IIT Delhi or B.Math at ISI Bangalore depends on what you want from your graduation and your career prospects.

Academically both institutes are excellent and none is better than the other. So my answer entails the drastic difference in the curriculum and scope of the two programs.

Bachelor of Mathematics, ISI Bengaluru

This program has high-tech mathematical stuff and purely focuses on Mathematics. The Institute is smaller than IIT Delhi and ideal for those who have a single passion in life, Maths. The coursework consists of abstract algebra, analysis, probability theory, and so on. Additionally, it has compulsory courses in Statistics, Probability, and Physics as well. Although it offers some CS courses also, the program does not focus on Computer Science much.

Math and Computing (MnC), IIT Delhi

The curriculum of the MnC program is more inclined toward computer science than Mathematics. The program focuses more on applied mathematics, rather than pure mathematics. As a result, graduates from this course can start jobs earlier than those from ISI.

In a nutshell, if you are willing to go for higher education and research in mathematics, then ISI should be your goal. If you are a person interested in the practical application of concepts and want to eventually be employed in a company, then IIT Delhi is the best place for you.

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.

While the newer IIMs like Ranchi, Trichy, and Udaipur have a good reputation, IIT Delhi still offers certain advantages that make it stand out as a better option. Here are some reasons why you should consider IIT Delhi for your MBA:

• Placements: IIT Delhi has an impressive placement record, with several top-notch companies visiting the campus for recruitment every year. The average placement package for MBA graduates from IIT Delhi is also higher than that of the newer IIMs.
• Exposure: IIT Delhi has a larger and more diverse student body, which means that you'll have more opportunities to interact with students from different backgrounds and gain exposure to different industries and sectors.
• Faculty: IIT Delhi has a highly qualified and experienced faculty, with several professors who are experts in their fields. This means that you'll receive high-quality education and training from some of the best minds in the business.
• Academics: IIT Delhi's MBA program is highly regarded and has a rigorous curriculum that covers a wide range of topics, including finance, marketing, operations, and strategy. This will give you a strong foundation in business fundamentals and prepare you for a successful career in any industry.
• Alumni Network: IIT Delhi has a strong alumni network, with several successful MBA graduates who are now leaders in their respective industries. This network can provide you with valuable connections and mentorship opportunities that can help you advance your career.

While the newer IIMs are also good options for an MBA, IIT Delhi stands out as a better choice due to its strong reputation, impressive placement record, diverse student body, and highly qualified faculty. So, if you're looking for an MBA program that offers the best of everything, IIT Delhi should definitely be at the top of your list.