In my opinion, the institute is more crucial than the branch as academics rarely matter for an IITian. What actually matters is how the college molded him from a fresher to a mentally stable and talented person who has honed his talents to the fullest through maximum exploration.

That being said, I would recommend you to go for IIT Bombay irrespective of the branch you are able to make it into. 

• IIT Bombay has its own legacy of being an IIT from the start whereas IIT Roorkee was a State University initially. Hence it is still undergoing changes. This eventually limits the opportunities offered to the students especially related to research work. At IIT Bombay many universities and R&D labs approach students for internships. 
• The rules for girls and boys are equal at IIT Bombay, unlike IIT Roorkee which discriminates between the 2 genders. 
• Because of its location, IIT Bombay, the finance capital is preferred over Roorkee. 
• The placements are better at IIT Bombay Civil than at IIT Roorkee Electrical, so need not worry about jobs. 

Overall, IIT Bombay will give you a sense of freedom to explore everything and broaden your opportunities.

On an overall scale, Civil Engineering from IIT Bombay will be a better option. But you should always give preference to branch over the institute. If you aren’t an IT enthusiast, choose IIT Bombay. It offers better career prospects and placement opportunities. IIT Bombay offers unparalleled academics, peer learning opportunities, exposure, and placement opportunities. 

During the recent IIT Bombay placements, Civil Engineering students received the average CTC of INR 8 LPA. The highest CTC for the branch goes up to INR 60 LPA. 

The choice of Institute or even the choice of the branch depends on where your inclinations lie. Still, if I would have been in your place, I would have opted for either IIT Roorkee Electrical or Electronics. Here are a few points that justify my inclination towards IIT Roorkee in general and these branches specifically

• The placement scenario of both the branches is excellent with the highest package of both the branches around INR 1,06,00,000. The average packages are well above 15 LPA.
• Both branches provide excellent exposure in terms of opportunities and knowledge 
• The location of the Institute close to the IT hubs like Gurugram, Noida, and the other cities of NCR helps establish industry relations and improve placements tenfold
• The college has a rich coding culture with platforms like SDS Labs, PAG, and IMG making it possible to inculcate coding skills
• The TPO is very responsible and encourages infant companies and startups to offer internship opportunities to its students.
• The overall infrastructure of the campus is decent with hygiene maintenance and basic facilities. Being close to the Himalayas, you can occasionally plan trips also.
• The hostel and food facilities are also good despite the hostels being very old.
• IIT Roorkee has the oldest and strongest alumni network of all the Engineering colleges in India

All in all, the Institute and the branches are much coveted and should be preferred over the other options you have.

IIT B is the best option among these for pursuing an MTech in Industrial Engineering. Your preference order should be IITB>IIT KGP>IIT K>NITIE. IIT B has an innovative course curriculum. You will learn optimizing techniques and algorithms. The course work and curriculum inspire research. 

Companies such as Deloitte, Mahindra, Accenture, Sony, etc. visit the campus placements. The highest salary offered for MTech Industrial Engineering goes up to INR 19 LPA. 

NIRF rankings are not the sole factor that determines an institute's worth and credibility 

Usually, rankings systems evaluate an Institute based on aspects such as international students, international faculty, and research which don’t matter much for a UG student.

Even without the JEE, IIT Bombay has always been a much more preferred IIT than Madras mainly because of its location advantage and thus excellent opportunities.

IIT Bombay is preferred because of herd mentality as most JEE toppers consider only IIT Bombay worthy of their rank. It’s like because that has been the usual trend, they have to follow it. In reality, IIT Madras has its share of toppers though the numbers might be less in comparison to IIT Bombay.

People usually choose one from IIT Bombay or IIT Madras over the other because of geographical reasons and not academic reasons. 

Academically, it’s the course you are choosing that decides which Institute is best for you. As far as CS is concerned, the program has equal rigor and dynamism at both institutes. However, IIT Bombay has a slight advantage over IIT Madras considering the academics.

If you are concerned about the culture, both institutes offer great ambiance. It’s just a myth that North Indians find it difficult to settle in IIT Madras. Hindu is spoken in almost all IITs and only food might disappoint you a bit. However, culture is a secondary aspect and what matters is the quality of education offered at that Institute. This varies from course to course.

Both institutes will help you create amazing memories and offer an excellent college-life experience. So, the best college for you will depend on your individual needs and preferences.

One can consider aspects such as location, campus culture, and specific programs while making their decision.

I assume that you haven’t decided on a specific branch and hence you have multiple options open from different institutes and branches. Before I give you my suggestion it’s important to know that most non-CS students at IIT Bombay and IIT Kharagpur try to get a job in CS only. For this, they learn programming and sit for non-core placements. 

For the same reason, I am recommending you join either BHU or Guwahati (CSE).

• BHU is known for its elaborate and old alumni base leading to better placements whereas Guwahati speaks highly of its infrastructure.
• BHU has much better connectivity owing to its city locations whereas Guwahati is situated outside the city.
• Guwahati has a larger faculty pool than BHU

In the end unless you are a North-Eastern, BHU is the best option for you. Either way you are good to go and thus can make a decision that suits your location.

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.