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Bangalore Medical College and Research Institute is a medical college run by the Government of Karnataka.
It offers admission to a postgraduate degree in nursing, M.Sc. in Nursing.
To be eligible for admission to the M.Sc. in Nursing program, candidates should have completed their B.Sc. degree in Nursing from a recognized institute.
The admission will be done on a merit basis, and you don't need a NEET PG score. The final selection of candidates is based on their performance in the previous qualifying degree exams and seat availability.
After the admissions procedure is over, there will be a merit list published at the college where the selected students can check their names.

The MHT CET or Common Entrance Test is an annual entrance exam conducted by the Government of Maharashtra. The Maharashtra Common Entrance Test MHT CET is conducted to shortlist candidates for admission to undergraduate engineering and pharmacy courses in various colleges in Maharashtra. It has recently announced results for 2022. According to the information you have given, you may be able to get into these institutes.
1-Sipna College of Engineering and Technology, Amravati
2-K. C. College of Engineering and Management Studies and Research, Mumbai
3-SVKM's Institute of Technology, Dhule
4-Karmaveer Bhaurao Patil College of Engineering, Satara
5-St. Vincent Pallotti College of Engineering and Technology (SVPCET), Nagpur
Here you may get a B.E. In the Computer science Engineering branch. However, it will also depend on the number of students applying to this branch and the college cutoff for this year. Alternatively, you can use the Shiksha platform's MHT CET College Predictor 2022 (https://www.shiksha.com/engineering/mht-cet-college-predictor)to get more specific recommendations based on fees, location, and rank. Here you need to enter your MHT CET score, gender, category, and domicile to get recommendations of possible good colleges.

The College of Agriculture, Karad, is affiliated with Mahatma Phule Krishi Vidyapeeth (MPKV). It offers admission to a B.Sc. (Hons.) in Agriculture at the undergraduate level.
To be eligible for admission, the candidates should have completed their 12th in PCB, PCMB, PCM, or Inter-Agriculture subjects with a 50% aggregate. It also considers the scores of the ICAR AIEEA exam and MH CET exam for admission.
The final selection of candidates is based on their performance in the entrance exam and seat availability. Since the results for the MH CET were recently announced and the ICAR results are awaited, the admissions in this course have yet to begin.
After the admissions procedure is over, there will be a merit list published at the college where the selected students can check their names.

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.

The Deen Dayal Upadhyay University (DDU), Gorakhpur, is recognized as one of the top institutions of higher learning and has received a B grade from the NAAC for accreditation. The university offers admission to the B.Sc. in Agriculture through its affiliated colleges.
To be eligible for admission, students must have passed the 12th grade or an equivalent exam in a science stream.
Also, the student must have a minimum score of 45% in the 12th board exam.
To take admission, students will have to submit their applications online via the official website of DDU. The final admission will be based on merit and will be determined by the class 12 board exam score.
Currently, admissions are open, and a list of shortlisted candidates will be published after the admission process is over by colleges affiliated with DDU on their website or notice board. There is no separate cutoff issued by the university.