Uttar Pradesh

It totally depend on JOSAA counselling. You may get NIT-Allahabad, but IIIT-Hyderabad is best. IIIT is among all the IIITs, so you cannot get it.

Yes, through management quota. But don't worry, private colleges take a very easy test.

Dear Gyan Prakash Mishra,
There is no chance for IET Lucknow. But you can take admission in CSE branch in JSS, Noida.

Amity University, Jaipur is better than others because of good placement record and experienced faculty.

No, there is no need to travel to Noida for good placement because Amity University itself provides good placements across the globe, so no need to worry about placement if you are studying in Amity University.

On the basis of placement record, IHMs are in the following order-
1. IHM Lucknow
2. IHM Bhopal
3. IHM Jaipur

It is not easy to get any government college with this rank. But, you can get fee waiver seat of good private colleges in Noida and NCR.

Ajay Kumar Garg Engineering College, Ghaziabad
Dr. Ambedkar Institute of Technology for Handicapped, Kanpur
Institute of Engineering and Technology, Lucknow
Kamla Nehru Institute of Technology, Sultanpur
KIET Group of Institutions, Ghaziabad
ABES Engineering College, Ghaziabad
Bundelkhand Institute of Eng

B.Voc is not offered at ECC, Allahabad. BHU offer B.Voc. in Food Processing and Management.
Please refer the link to know the details about the course: https://www.shiksha.com/business-management-studies/course/b-voc-in-food-processing-and-management-banaras-hindu-university-rajiv-gandhi-south-campu