If you ask me, I think you should opt for Mechanical at IIT Bhubaneswar rather than choosing ED at IITM. I am saying this not because I am a student of IIT Bhubaneswar but because of the high academic standards the institute maintains.

• The Mechanical Branch at IIT Bhubaneswar is one of the oldest branches.
• IIT Bhubaneswar offers undergraduate full-time courses for four years.
• The average fee for four years is around INR 9 Lakhs.
• IIT Bhubaneswar Mechanical branch has recorded 87% placement for students in 2023 with the highest salary package being INR 21.28 LPA and the average salary package being INR 12.57 LPA.

I can understand that choosing between IIT Bhubaneswar for CSE and IIT Kharagpur for mechanical engineering can be a tough choice. But it depends on your career goals and preferences. I don't have much idea about IIT Kharagpur but I can guide you about IIT Bhubaneswar. Being a student at IIT Bhubaneswar myself I can say that the institution offers excellent academic standards for the students.

• The CSE department offers both undergraduate and postgraduate full-time courses for the students.
• The average fee for a first-year BTech in CSE at IIT Bhubaneswar is around INR 2.32 Lakhs.
• The placement scenario at IIT Bhubaneswar is good. In 2023, the CSE department had 100% placement of the students with the highest salary package offered is INR 55.75 LPA and the average salary package is INR 20.18 LPA.

IIT Bhubaneswar and IIT Mandi are well-recognized academic institutions for Engineering and technology nationwide. As a student of IIT Bhubaneswar, I can certainly help you with some insights about the institution, but in the end, the choice depends on your personal preference, desired location, and career goals.

• IIT Bhubaneswar offers both undergraduate and postgraduate courses for different engineering streams.
• The average course fee for 4 years of BTech program is around INR 17.6 Lakhs.
• The placement scenario at IIT Bhubaneswar is very good with 92.86% of students placed from EE, 90.91% from ECE, and 87% in Mechanical Engineering in 2023 placements.
• The highest package is INR 55.6 LPA and the average package is INR 17.5 LPA.
• Top recruiters are Microsoft, Goldman Sachs, Amazon, and more
   

If you ask me, choosing IIT Bhubaneswar for CSE is a better option as the CSE branch for IIT Bhubaneswar is great.

• The CSE branch at IIT Bhubaneswar is known for its extensive curriculum and practical research projects.
• The cutoff for pursuing CES at IIT Bhubaneswar for 2023 was 2806 and for 2024 is 3404.
• IIT Bhubaneswar's B.Tech ranking by NIRF is 47 out of 200 institutions in India in 2023 and ranked 11 out of 32 by India Today Engineering Ranks.

The placement details for the IIT Bhubaneswar CSE branch for the year 2023 are given below:

I am a second year B.Tech Civil student at IIT Bhubaneswar. The 2023 NIRF ranking of IIT Bhubaneswar was 47 in the Engineering Category, while that of Jadavpur University was 10. 

During 2023, B.Tech Civil at IIT Bhubaneswar recorded 80% placements, and the average CTC stood at INR 12.85 LPA. The top recruiters at IIT Bhubaneswar for the placement season were- Accenture, Adobe, Amazon, Dell, Deloitte, HCL, Infosys, and ISRO.

Jadavpur University offers a BE in Electronics and Telecommunication, and a BE in Instrumentation and Electronics. During 2023 placements, 98% students were placed from BE Electronics and Telecommunication. On the other hand, 100% students were placed from BE Instrumentation and Electronics at JU. The median package for BE stood at 10 LPA during 2023. Companies like Schrodinger, DE Shaw India, Citi Bank, HSBC, etc. participated in the placements. 

Here are the 2023 placement figures for IIT Bhubaneswar (for B.Tech Civil):

I hope these figures will give you an idea of the placements and ranking of both these institutions. Out of my personal experience, I can assure you that B.Tech Civil from IIT Bhubaneswar is a good option. 

I am not sure about Chemical Engineering at IIT Kharagpur but I can vouch for IIt Bhubaneswar, you can opt for any ECE, EE, or Mechanical engineering from IIT Bhubaneswar.

• I have been a student at IIT Bhubaneswar and I must say it offers extensive academic and research facilities that help you in gathering both practical and theoretical knowledge.
• IIT Bhubaneswar offers both undergraduate and postgraduate courses for ECE, EE, and Mechanical Engineering.
• The average course fee for 4 years of BTech program is around INR 17.6 Lakhs.
• The placement scenario at IIT Bhubaneswar is very good with 90.91% of students placed from ECE, 92.86% of students placed from EE, and 87% of students placed in Mechanical Engineering in 2023 placements.
• The highest package was INR 55.6 LPA and the average package was INR 17.5 LPA. Top recruiters are Microsoft, Goldman Sachs, Amazon, and more.

Both IIT Dhanbad and IIt Bhubaneswar are well-known IITs in India. Popular for its excellent and well-structured academic courses and research facilities. However, if you take my opinion then opting for IIT Bhubaneswar is a better option than IIT Dhanbad.

• IIT Bhubaneswar is recognized for having excellent faculties with industry expertise offering the students both academic and research insights.
• IIT Bhubaneswar offers 5 years B.Tech in Civil Engineering + M.Tech Transportation Engineering.
• IIT Bhubaneswar is ranked 47th out of 200 colleges by NIRF ranking.
• The total course fee for 5 years is around INR 8.9 Lakhs.
• IIT Bhubaneswar offers good placement opportunities for the students. With 80% of students being placed in 2023, the highest package is INR 38.7 LPA and the average is INR 12.85 LPA.

Other than the classroom coaching centers mentioned in the previous answer, there are several others that you can consider for your GRE preparation. Some of these coaching centers are mentioned below-

1. Endeavor Careers- Endeavor Careers has just one coaching centre in Bhubaneswar, in Nayapalli. The coaching center has these facilities- Doubt Sessions, Counseling, Test Series, and Periodic Tests. Online Lecture facility is also available at Endeavor Careers.
2. Gateway Abroad- Gateway Abroad has one coaching center in Bhubaneswar, in Baramunda.
3. IMS- It has a total of 4 coaching centers in Bhubaneswar, in Master Canteen, Nayapalli, Patia, and KIIT. The facilities available at IMS are Printed Notes, Distance Learning, Doubt Sessions, Counseling, Test Series, and Periodic Tests. Online Lectures and Classroom teaching are both available for the students. IMS holds an entrance exam.
4. Visu Academy Limited- Visu Academy Limited is a coaching center located in Khandagiri in Bhubaneswar.

There are numerous coaching centers available in Bhubaneswar for your GRE preparation. You can choose the one that best suits you according to your locational 

and other preferences.