University College of Medical Sciences, University of Delhi

Both have its unique perks. MCK is one of those rare colleges in calcutta where student political involvement is minimal. You won't find any political party interfering with college procedures. It's a 180 year old college with a huge alumni network. Also, you will get state quota of 50% reservation ( unlike AIIMS. ). AIIMS Patna may be a new college but it's AIIMS. It will be great to apply for foreign colleges. Also centrally aided institutes are very well funded, having top notch infrastructure and recognised abroad. You won't get such infrastructure in MCK. You need not worry about cases since you won't understand much the first two years atleast. As for teaching, both should be similar, though I would give an edge to AIIMS. Concluding
Choose mck for state quota and alumni base. Choose AIIMS 2012 ones) for a chance to study abroad in PG ( the brand name), good infrastructure and a healthy investment in curricular activities. ( Along with a little bit of research). .

No, without taking an entrance exam, you might not be eligible for admission to the University College of Medical Sciences.
The University College of Medical Sciences is affiliated with Delhi University and is recognized by the Medical Council of India (MCI).
Accordingly, you will be required to give some kind of national-level entrance exam to get admission into this college. For instance, you would be required to give NEET for MBBS, NEET-PG for MD and MS, and NEMT for MS courses.
Similarly, you will need to give the college entrance exams for some other courses like the B.Sc. in Medical Technology (Radiography) and M.Sc. in Medical Imaging Technology (Radiography) courses.
In addition, you will be required to fulfill a basic eligibility criterion.
Like for BSc, you should have passed 12th grade with a minimum of 60% marks in the science stream, and for MSc, you must have passed a bachelor's degree in sciences in medical technology (radiography) and medicine from any recognized university.