When faced with a similar situation different people make different choices. There is no right choice as it’s a matter of personal preference. IIT Indore CSE and BITS Pilani EEE are both lucrative options and thus only your personal choices can determine the right one. 

There are some who wish to grab the IIT tag and want to take CS because the branch is a major crowd-puller. While some want to experience the brand and prestige of the old BITS Pilani. 

I would suggest you go for IIT Indore as the small batch size has its own benefits and moreover, IIT Indore has been growing quickly and seems to give more promising results in the future. The small batch size gives the vibe of a small family and you will love the bond here. BITS Pilani on the other hand has its own aura with Meritocracy as the mantra but its high fees are a major issue. 

Both the institutes are equally good and choosing one of the other wouldn’t be a regretful decision.

Both IIT Patna and IIT Jodhpur are well-renowned institutions. 

My brother pursued his CSE at IIT Jodhpur. According to him, you will enjoy studying CSE at IIT Jodhpur. 

• IIT Jodhpur has a great coding culture, ICPC, and many GSoCers.
• A large number of IIT Jodhpur alumni are working for Google, Microsoft, and other big organizations.
• IIT Jodhpur alumni are even working for Google in California. Such a strong alumni base will provide you with a lot of support and information. 
• The senior-junior interaction at IIT Jodhpur is also great. The seniors are very helpful and supportive.
• There are regular coding competitions and the coding culture is great. The permanent campus is beautiful and is 852 acres in area.
• Every student is provided with single accommodation rooms.
• IIT Jodhpur holds a tech fest each year in which there are coding competitions on web development, obfuscation, etc.

Check out the CSE course details at IIT Jodhpur to draw a statistical comparison between the two.

One of my friends recently passed out from NIT Kurukshetra. He was all praise for the coding culture there and also the placements. A lot of good companies like Google Microsoft Directi offer great packages given that your profile is deserving.

• The city life however is not very dynamic because Kurukshetra is a small city with very few places to hang out unlike Delhi, a very vibrant city. 
• The hostel life is great because you make very good friends here. Students are provided with excellent internet facilities.
• The faculty is decent like any other engineering college with a mix of both good and below-average professors. 
• The best part is that students won’t have to buy any study material from outside. You get 5 books from the college library for the entire semester and 3 additional books for a 15-day cycle. 
• The food served in the mess is average but it's the same everywhere.
• The infrastructure is average but things are slowly getting better under the new director. New buildings and a swimming pool have been made. 

Here is a brief comparison of both NIT Kurukshetra and Jamia Milia:

It’s best to go for NIT Kurukshetra unless you have any financial constraints. 

One of my friends was in Amritapuri so I know better about Amrita University than Manipal University, Chennai. The brand Amrita isn’t known among the IITs and NITs but the college is quite prominent among the companies and universities.

• The placement stats are rarely released, but the alumni prove that the placement of this college is quite amazing.
• You will be eligible for placements if you have scored above 6 CGPA.
• The hostel life of this campus is not as good as compared to other colleges yet it’s bearable.
• Boys aren’t much restricted from the hostel rules and regulations but girls have to follow the set rules.
• There are sub-disciplines that you can join by joining The FOSS Club, the ICPC team, and CTF team.
• For exploring FOSS you would have to join The FOSS club, for sports programming the ICPC team and for security CTF team will be a good opportunity.

Moreover, the college offers more amazing opportunities such as exchange programs and internships in research labs. This is an absolutely good set of opportunities for CS students.

One of my friends has completed both his Bachelor’s and Master’s in CS from IIIT Hyderabad and still suggested his younger brother go for IIT Madras. 

He feels that IIIT Hyderabad certainly gives you an edge in getting placed initially but it restricts your prospects to a large extent. IIT Madras on the other hand gives a wider perspective and scope. Students get to learn specifics in their sub-field.

The lab facilities offered at both institutes are equally good. However, you can join as an intern/RA later in any of these institutes. So this affects the research edge in specific areas. IIT Madras seems to have better research options mainly because of its huge size.

Outside life shouldn’t be a problem in either institute because both are excellently located and offer a great urban life. So look at the vegged picture and choose wisely!