Science

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 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.

Jagannath University, Jaipur, is one of the top private colleges in Rajasthan and offers admission to an B.Sc. in radiology and imaging technology.
To be eligible for admission, you must have passed the 12th standard or an equivalent examination with more than a 50% aggregate score in science subjects.
According to the latest guidelines of the college, admissions starting from the 2022 session will be done on the basis of the CUET UG 2022 Exam scores. Also, the final selection of students for this course will be based on their performance in the 12th board exam, score in the CUET entrance test, and the availability of seats this year.
Since CUET results have been released recently in mid-September, the latest cut-off is yet to be published on the official website of the university.

Ahmedabad Institute of Nursing Sciences is an Indian Nursing Council and Gujarat Nursing Council-recognized institute. It is affiliated with Gujarat University and is run by the Garavi Gujarat Medical & Educational Foundation.
The institute provides admission to 60 seats in the Bachelor of Science in Nursing. The fee for this course is charged as per Fee Regulatory Committee (Medical) Gujarat State norms (academic year 2021-2023).
For government quota seats, the total fee is Rs. 96,000 per year.
For Management Quota seats, the total fee is Rs. 1,44,000 per year.
The fee is taken only by check or DD, and no donation is asked for or accepted. They also don't ask for any extra fees like clinical fees, library fees, gymkhana fees, or laboratory fees separately.
The eligibility criteria are passing the 12th Standard Board Examination (GSHSEB or CBSE) in the Science Stream or an equivalent examination.

I am assuming you are referring to Presidency University, Kolkata, and not Presidency University, Bangalore, as it does not offer a M.Sc. In biotechnology. Presidency University, Kolkata, is a second major public research university in West Bengal. It offers admission to multiple post-graduate courses, including an M.Sc. In Biotechnology. To apply, you must fulfil the eligibility criteria, which is as follows:
You must have graduated with honours or major from a recognised university or institute in any branch of the life sciences that includes Chemistry or you must have graduated in biotechnology. You must also have secured a minimum of 55% marks or a 6.0 grade at the graduation level. After fulfilling eligibility criteria, you will have to apply online on the official website of the university. The application forms for postgraduate courses are usually available in the month of September. After registrations are over, admission will be done on a merit basis, and academic scores will be used to determine the general merit rank (GMR) of individual students and to prepare the general merit list. Allotment of seats or admission will be done based on GMR only (not on category ranks). The score for the merit list will be calculated as per this formula:
75% of the honours or major grade point average plus 25% of the 10+2 grade point average. The total score wise list will be published on official website in order of merit. According to the website of the university, the tentative last date of admission is October 31, 2022.

Tata Institute of Social Sciences (TISS) is a multi-campus public research university in Mumbai.
It offers unique courses like an undergraduate-level Bachelor of Science (BS) in Analytics and Sustainability Studies. Students must have completed the 12th grade in any subject stream from a recognized board to be eligible for admission in this course.
According to the official website of the college, the admission to this and all other undergraduates will be done through the TISS Undergraduate Seat Allocation System 2022.
Admission to the UG program will be offered based on the score candidates receive in the CUET (UG) in 2022. The registration for TUGSAS 2022 is now open on the TISS admission portal. Candidates who do not complete the registration process will not be considered for admission.
The cutoff will be available after September 30, after the registration process is over.