Colleges in Orissa - Other

Yes, it is. If you are planning to get admission in MNNIT - Allahabad, then math subject is compulsory. For more information, you can contact or visit their official website.

Please visit this site first-
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor

Please visit this link for all details and you can also download their brochure.
https://www.shiksha.com/b-tech/course/b-tech-lateral-entry-indira-gandhi-institute-of-technology-igit-orissa-other-251525

If you want a good branch then more then 110 in JEE or else minimum 85 to get a seat in VSSUT if you are from General category. You can get, chance is more.

It is always advisable to join full time PGDM/MBA general programme and not specialised one. If you are genuinely interested in that course than only join it because once enrolled than it will be difficult for you to change your domain. It is your career decision don't just go with the college brand do give more weight-age to course. I really don't know about the course but it seems to be really specific. Take decision wisely.
All the best

Total Fee for B.Tech lateral entry in VSSUT is Rs.106,500/- .

Following are the age requirements:
1. 21 Years to 30 Years for General candidates,
2. 21 Years to 33 Years for OBC candidates and
3. 21 Years to 35 Years for SC / ST candidates.
And Eligibility for B.tech Lateral Entry : There are no such specific rules exclusively for Lateral Entry students. The university has the same set of rules and regulations for everyone. The only difference that a regular student and Lateral entry student from the academic perspective is the fee structure.

Yes, you can try through state university academic committee through admission.

Yes, you are eligible.
All the Best.