Considering various aspects like placements, infrastructure, environment, and placements, etc, IIEST stands out to be the better among the other two. 

Cutoff: 

The cut-off of BIT Mesra is very high and the reason behind this is 50% reservation for Jharkhand state, SC, ST, and OBC category students.

Course Fees: (Winning Institution - IIEST)

After the hike in fees for NITs, BIT Mesra is only comparable to NIT Rourkela, not IIEST. The fees of BIT Mesra are much more than IIEST and NIT Rourkela.

Alumni Base: (Winning Institution - IIEST)

All these three institutes were established in the ’60s and hance have strong wide-spread alumni networks. IIEST has a great alumni network with a rich legacy.

ROI: (Winning Institution - IIEST)

ROI is one of the most important factors to consider while choosing an institution. Among the three institutions, IIEST is the best institution in that regard. It has the lowest course fee among the tree.

The table below will give a comparison of the three institutions.

Based on the above discussion it is safe to say that IIEST is a better alternative in all aspects. 

IIEST Shibpur holds rank #21 in India by NIRF Rankings in 2020. In all courses, 50% of the seats are reserved for students from other states and 50% are reserved for the students of West Bengal. Admission is based on the results of JEE Mainand for admission in M.Tech, a valid score in GATE is required.

National Institute of Technology, Rourkela holds #16 rank nationally according to NIRF rankings for 2020. The total seats reserved for B-tech mining is 42. One must have secured 75% marks in 12th standard along with a valid score in JEE Main.

Admission process:

IIEST Shibpur

• The admissionprocess is fully based on the results of JEE Main.With this, students are also required to complete 12th with at least 75%.
• The application fee for general is 1,500 and for reserved students, it is 1,000 INR.
• 3% seats are reserved for physically challenged students and 3 seats are also reserved under defense quota.
• This Institute conducts a separate entrance test and interview for Ph.D. students.

NITRourkela

• The application process is fully online. The application fee is 1,000 INR.
• Same as in IIEST Shibpur, admission eligibility for NIT Rourkela is also fully based on the JEE Main.
• With this, at least 75% marks are also required in 10+2 withMaths, Physics and Chemistry are required as compulsory subjects.

Placements:

IIEST Shibpur

• The highest package offered to the students is 39.12 lakhs while the average package is 6.5 lakhs.
• Last year, this Institute break its own record in terms of placements. A total of462 offers were made to students and out of them, about 311 got placements.
• Companies like Microsoft, Maruti, HSBC Technologies, TCS, and so on visit campus every year.

NIT Rourkela

• The highest package offered to students in the mining department was 18 Lakhs by TATA whereas, the average package was 7 lakhs.
• Various big companies like Microsoft, Tata Steel, Myntra, Bajaj, and so on visitsthe Institute every year for placements.
• Last year about 206 companies visited the campus and almost more than 700 students got placements.

Both the Institutes are good for mining with excellentfacilities like Wi-Fi, air-conditioned classrooms, laboratory facilities. Faculty members are also best, almost all the teachers are holding a Ph.D.So in short, the education facility as a whole is quite amazing and satisfactory for both the Institute.

If you are not looking only for the hallmark of IIT, then you should go for Mechanical Engineering in NIT Rourkela. NIT Rourkela is one of the top 10 NITs and is ranked under the top 20 best engineering colleges in India. It has an excellent pool of highly qualified and experienced faculties and offers well-furnished laboratories equipped with updated systems. The placement scenario of this college is also quite impressive and is growing. Many big MNCs and top PSUs consistently visit the college for recruitment and internship opportunities. Apart from these, this college offers a good Hostel facility and a ragging free environment. 

On the other hand, choose Biotechnology in IIT Bhubaneswar only if you are interested in the subject. Since Biotechnology has limited scope in India, you can't expect a cushy package like other branches. Biotechnology has good scope in research and development. Some IITs, IISC, JNU, DU offers Ph.D. courses in Biotechnology. But if you are concerned with placement, you should go for Mechanical Engineering in NIT Rourkela.

ECE, CSE, and IT departments are excellent at BIT Mesra. Although other core branches at NIT Rourkela are much better. 

A friend of mine is a student of BIT Mesra, so I have some idea about the campus. The campus is good and there are various club activities going on throughout the year. There are more than 10 student clubs of engineering departments, music, and culture including the Highlander Adventure Club, Engineering Society, etc.

Here's a table comparing the basics of both the institutes.

As you can see from the table above, BIT Mesra is so much costlier than NIT. The course fee will be half at NIT Rourkela. Choose BIT Mesra, only if you are ready to pay a huge amount of course fee.

The better decision among the two will be to join IIT Bhubaneshwar for ECE.

IIT’s are the top institutes of the country and the name is enough to make it stand out of others in comparison to NIT. You already have increased your chance incredibly of making into a Top-notch company when you get into an IIT. The college is placed in Top 10 IIT’s of the country. Although none of the batches have yet passed from the ECE branch from IIT Bhubaneshwar the average package in the college for other courses is pretty decent.

The campus of IIT Bhubaneswar is well-built and is the second-largest IIT in India. The faculty members are well-versed and use practical methods to suggest and help students with their doubts. They are very approachable, skillful, knowledgeable, and justifying for their roles.

The course curriculum is also very enhancing. The campus helps in the overall development of the student and hence it helps in developing a student in all the Non-curricular aspects as well. The living arrangements and the sports facility provided by the college is appreciable.

If someone needs to ensure progress and have a better scope on future opportunities, he/she must opt for IIT Bhubaneshwar.