IIIT Allahabad is the institute of national importance, whereas Thapar Institute of Engineering & Technology is a deemed university in Punjab. The best institute among the two for pursuing engineering is IIIT Allahabad. It is far better than Thapar. Here is a brief overview of the institutes.

• The tag of IIIT is an advantage. IIIT Allahabad is not less than old IITs as it is one among the Tier-1 colleges for engineering.
• The quality of research and reputation it has in the industry makes it a lucrative choice.
• IIIT Allahabad offers only two specializations, IT and ECE. It diverts the complete focus on these two branches.
• The faculty of the institute is skilled in teaching and has vast experience in the industry. They use the industry-specific teaching approach and prepare the students to take up real-world challenges.
• The coding culture of the institute is renowned in the country. It has given birth to many excellent programmers in the world. Every year, a team goes to compete at the international finals in ACM ICPC. Heard of ‘Humblefool’? Till date, he is considered the best programmer from India and he belongs to IIIT Allahabad.

Overall, the above points conclude that IIIT Allahabad is not only the brand, but it also gives the best return on investment.

Firstly, you should know that there is no difference in the facilities and reputation of the colleges, Although BITS ranks better as an engineering school. BITS Pilani ranks #30 on NIRF's Engineering rank list and IIIT Allahabad ranks #103 on the same. But you should focus on your monetary capacity in consonance with your future plans before applying. 

My cousin studied at IIIT A and the following points are based on his experience:

• IIIT A is an excellent place to study coding. The classes are good although the syllabus has to be maneuvered because it's tough. You can manage it through attention in the classroom.
• Attendance is an important part of the academic process here because IIIT A has a 75% mandatory attendance rule.
• Without a doubt, BITS has a higher fee range as compared to IIIT A, about 7 LPA for a 4-year program.

Here's a table comparing both institutes:

Lastly, if you love the mechanical stream and are truly motivated to study Maths and Physics then you must go for it. Mechanical is a vast field as well because you'd learn everything related to mechanical processes and even production scheduling. So clearly check your interests and goals before deciding.

Production Engineering is the course for creating safe and efficient processes and transforming raw materials into finished items. IT Dual degree aims for doing collaborative projects under foreign universities. 

MNNIT Allahabad ranks 48th among the top private engineering colleges as per NIRF 2020 ranking. This institute provides top quality placements of 100% for all departments.

IIITM Gwalior is IT-oriented and ranks 100 among the top engineering colleges in India as per NIRF 2020 ranking. This institute always maintains above 90% placement by providing jobs in top-quality MNCs. 

Admission Process 

IIITM Gwalior:-

• The primary eligibility criteria is a minimum of 75% marks in 10+2.
• The final selection of the candidates depends on the JEE Main scores.

MNNIT Allahabad:-

• The primary eligibility criteria is a minimum of 75% marks in 10+2.
• The final selection of the candidates depends on the JEE Main scores.

Placements:-

MNNIT Allahabad is one of the best engineering institutes in North India. 792 students bagged placements in top-notch MNCs in 2019. 

In the 2019-20 placement session, more than 200 students were placed in top-notch MNCs. A total of 18% students were offered PPOs. More than 65 recruiters participated in the campus recruitment who offered 70 students a package above INR 10 LPA.

The top companies are Amazon, Citrix, Cipla, Dell, Google, Infosys, Deloitte, Airtel, Britannia, Accolite, etc. 

Faculty:-

The faculties of both the institutes are very much helpful towards their students. They are very much renowned for their research works. They always help the students for get jobs during their campus placements. 

IIITM Gwalior is a far better choice than MNNIT Allahabad. IIITM Gwalior is way ahead than MNNIT Allahabad in terms of placements. It is because the job opportunities after pursuing IT/CSE course from IIITM Gwalior is plenty and provides tremendous scope in future.