UoH - University of Hyderabad

The eligibility criteria for M.Sc. Statistics is completion of B.A. (Honors)/ B.Sc. (Honors) in Statistics or Mathematics or graduation in a related discipline from a recognised institute Mathematics and Statistics as main subjects at the level of graduation with minimum aggregate score of 60% at the level of graduation. Hence, B.Tech in EEE are not eligible for M.Sc Statistics.

Yes, you are eligible.
MCA Eligibility-
Any graduate who has passed or appearing for the final year degree examination in any discipline (Science, Commerce, Arts, Engineering or any approved University) is eligible to apply. Candidates must have mathematics as a subject in their 10+2 course or any one year of graduation. BCA qualified candidates can also pursue MCA For admission procedure, fees etc. Please specify the college/university.

That's not possible. Candidate must have Mathematics as a main subject and studied as full papers in Higher Secondary (10 + 2) level is a mandatory prerequisite. First Class Bachelors degree with at least 60% marks in aggregate, in any discipline.
NIMCET 2018 scores in order of merit, will be the only criteria for admission

Hi,
You can apply for MBA by the given link.
https://www.shiksha.com/mba/course/mba-in-health-care-hospital-management-university-of-hyderabad-gachibowli-191167
But, I would like to say for MBA cat entrance exam is compulsory.

The entrance exam happens in the month of June but fixed date has not been announced yet.

Yes, there is a Combined Biotechnology Entrance Examination (CBEE) conducted by Jawahar Lal Nehru University, New Delhi. Admission is based on the marks obtained in the exam.

University of Hyderabad is conducting counselling through CCMT and it might be difficult to predict the cutoff but if you have Gate score around 450-500, you will probably get admission in UOH.

Since the details of the course are not mentioned clearly, you will need to check with the college authorities once for confirmed information.
https://www.uohyd.ac.in