Uttar Pradesh

Galgotia College would be the best choice in terms of placement.

You can look out for better options as Mangalmay Institute of Engineering and Technology, Greater Noida is an average college with not so good placements.

You can opt for PGDM at NIILM, as both PGDM and MBA are equivalent degree.

The fees for B.Tech (all branches) is 1,16,000 INR and for IT branch is 1,36,000 INR.

Yes, its good to take a chance. If you clear your JEE exam then there will be no problem to get the admission. If you couldn't qualify then you will have another option without any loss.

You may refer to following link for list of good MBA colleges in UP with admission process details : https://www.shiksha.com/mba/ranking/top-mba-colleges-uttar-pradesh/2-0-126-0-0

Yes it is a good Institution for travel and tourism and holds a good brand name. However, placements there are highly dependent on your academics and performance.

If I would rank these two colleges (MNIT and MNNIT) on the basis of campus, hostel life, placements, faculty, and infrastructure, then I would suggest you MNNIT.
As for MNNIT - Allahabad, from what I know from my friends who went there, it's great for someone interested in the core branch as well as the teachers being so supportive for someone pursuing his/her passions.