UPCAT

Hi Anirudh,
Here is the list of the best MBA colleges in UPTU:
IIM-Lucknow Lucknow
FMS BHU Varanasi
Indian Institute of Technology Kanpur (IIT-K) Kanpur
Jaipuria Institute of Management Lucknow
Motilal Nehru National Institute Of Technology (MNNIT-A) Allahabad
Indian Institute of Information Technology Allahabad (IIIT-A)
School of Management Sciences (SMS) Varanasi
Sherwood College of Management (SCM) Lucknow
Dr. Gaur Hari Singhania Institute of Management & Research Kanpur
IMS-Design and Innovation Academy Noida
IILM Business School, Lucknow
IIPM Lucknow
Lucknow Model Institute Of Management
Allahabad Institute of International Management (AIIM)
All the best.

As 240 is the average mark in UPSEE which will get you something 30k around. (2k positive or negative that depends on cut-off).
But, if you choose deliberately between colleges and streams, there is chances of getting some good colleges too. Here is the list of college in which you can apply for counseling. This list is based on preference order and the first one should be locked first for the counselling. I will tell you later why is it so. So, here it is :
ABES engineering. College, Ghaziabad (CS,IT preferable)GLBITM, Gr. Noida (CS,EC,IT preferable)ITS engineering. College, Gr. Noida (CS,EC,IT preferable) NIET, Gr. Noida (any stream) GNIOT, Gr. Noida (any stream) United engineering. College, Allahabad (any stream) IPEC, Ghaziabad (any stream) BBDNITM, Lucknow (any stream) RKGIT, Ghaziabad (any stream)