My knowledge is limited to IIT Patna as my brother was a student of the same and thus my answer talks about that particular institute only. Firstly, judging an IIT on the basis of its location is not logical. What matters is the job opportunities and facilities it has to offer. In that sense, IIT Patna will definitely serve you well. 

IIT Patna offers one of the best UG EE Courses. For an undergraduate student, EE is one of the most challenging branches. But the plethora of opportunities it has to offer makes it a more lucrative branch too. IIT Patna EE branch includes courses from both Electrical and Electronics leaving you to decide on which field to pursue.

If you are inclined to CS and coding stuff, you can do it despite being in the EE department. IIT Patna has one of the best coders, a senior of the EE Branch who cleared Google Code Jam and was also part of this year’s ACM-ICPC Team which qualified for World Finals and Secured 56 Rank. Another senior cleared GSoC which is quite an achievement.

If you are a research enthusiast and want to go for a Master's, then IIT Patna is the best place. Its highly supportive professors help you in every way. The seniors are helpful and guide you in making the wisest decisions.

It’s best to talk to the students of all the institutes you mentioned and then decide.

The preference varies from person to person. Till 2014, BITS Pilani was the best institute, especially for the CSE branch. But today, the IITs gain the leading position as they are rapidly advancing every year. They have better infrastructure and academics than BITS. So, students started to prefer IITs since they have a lower budget than BITS. When it comes to the ranking of IITs, they are increasing every year in CSE. BITS Pilani is not easily accessible to many companies, which has decreased their placement support. IIT Patna offers foreign internships to the students and it is easier to get good CPI here than at BITS

For the MS, IIT Patna is better because, as we know, a tagline has more value on the outside, and you can prove excellence in your field with a good CPI from IIT Patna when compared with BITS Pilani.

IIT Patna is better for the CSE department when compared with IIT Dhanbad. Before taking a final decision, have a look at the details given below

• IIT Patna was established in 2008 and is one of the rapidly advancing institutes in India with the best infrastructure and research facilities.
• The CSE department is renowned and they ensure 100% placement support on high packages every year and are gifted with highly experienced faculties
• The course curriculum of the CSE department is fabulous and builds the best software developers and Engineers. The same curriculum is followed in most of the reputed institutions like IIT Bombay, IISc, and so on

The recent placement at IIT Patna

Particulars	Placement Statistics 2023
No. of PPOs	72
No. of Offers	281
Highest domestic package	INR 82.05 Lakh per annum
Average Salary	INR 29.30 Lakh per annum
Median Package	INR 20 Lakh per annum

So, you can go with the option IIT Patna

The final decision should be based on your interest in the core subject. Both institutes are renowned for their academics, experienced scholars, and infrastructure. The final decision should be based on your interest in the core subject. Both institutes are renowned for their academics, experienced scholars, and infrastructure.

IIT Patna

The Department of Metallurgy and Material Sciences was established in 2012; you won’t regret choosing this institute as you will have the advantage of the brand name IIT. Most companies prefer IIT students, and it is also beneficial if you are planning to attend competitive entrance exams like the CAT, GMAT, and so on.

IIT Patna Placements

Particulars	Placement Statistics 2023
No. of PPOs	72
No. of Offers	281
Highest domestic package	INR 82.05 Lakh per annum
Average Salary	INR 29.30 Lakh per annum
Median Package	INR 20 Lakh per annum

BITS Hyderabad

It is good for academics, placement support, and a rich alumni network. The opportunity for a master’s in Physics is comparatively higher than in metallurgy and material sciences, but you won’t get the brand tag of IIT here.

Placement at BITS Hyderabad

Particulars	Statistics 2023
Companies visited	109
Highest package	INR 65.75 Lakh per annum
Average package	INR 30.37 Lakh per annum
Median package	INR 30 lakh per annum

Selection can be made solely based on your interest in the core subject.

My knowledge is limited to IIT Patna CSE as my brother studies there and his frequent narrations have given me a good insight of the institute. But trust me after going through the points you won’t consider IIT Gandhinagar or NIT Allahabad anymore.

• Usually, the majority of professors in IITs and NITs are a bit careless but here the CSE professors are especially supportive.
• IIT Patna CSE Placements recorded 98.65% with the highest package at INR 82.05 LPA and the average package at INR 35.57 LPA. Siem exceptional cases even receive packages in CPA.
• IIT Patna has made many big achievements and the number of students clearing the Google Summer of Code (GSoC) has also increased.
• In the ACM-ICPC, world-level coding competition, IIT Patna stood 2nd in the Kolkata zone and 56th worldwide. 
• IIT Patna is well-known for its good coding culture so its CSE program is great.

 So I would say go for IIT Patna!