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The name of entrance exam conducted for M.Sc in Hospitality Administration is NCHM M.Sc JEE-2020. The entrance exam is scheduled to be held on 16 May 2020. The last of the online submission of application form is 16 April 2020.
There is no specific name of the application form, first you have to register on http://thims.gov.in/ website rest of the application process will begin after this. How to apply : Candidates has to send print out of the filled in online application along with necessary fee (Rs.900/- for General/OBC Categories; Rs.700/- for EWS Category; and Rs.450/- for SC/ST/PD Categories) through a demand draft drawn in favour of NCHMCT payable at Noida or Delhi and other requirement documents, which should reach NCHMCT, Noida the latest by 22nd April 2020. Information Brochure can be downloaded from web site of this Council. Envelope containing application should be superscribed as APPLICATION FOR ADMISSION TO M.Sc. HA programme. Applications received after 22nd April 2020 will not be entertained.

Yes, you can be eligible for ICAR AIEEA UG 2020, if meeting the below eligibility criteria for B.Sc. (Hons. ). Agriculture and Horticulture etc. Eligibility criteria :
1. Candidate must have passed 12th qualifying examinations securing not less than 50% marks in aggregate for General, OBC (NCL), UPS, EWS categories and 40% marks in aggregate for SC, ST, Transgender, PwD categories in following subject PCB/PCM/PCA/ABC.
2. Candidate having a compartment/ supplementary in any of the subjects will not be eligible unless proof of having cleared the examination with requisite percentage as above is available.
3. Age Limit Indian Nationals of at least 16 years of age as on 31.08.2020 are eligible to apply for the examination. No relaxation is admissible regarding the minimum age limit. So from above PBC students are eligible for ICAR exam.

If you are asking about the TNDALU, then you can take the admission in 3 years of LL.B. course without giving the entrance exam. The Selection procedure of LL.B. Course is given below.
SELECTION PROCEDURE FOR 3 YEAR LL.B. [HONS. ].: Admission to the three year LL.B. [Hons. ]. Courses to be made only on the basis of marks obtained in the qualifying examination and following the rules of reservation of the State. The percentage of marks obtained by the candidate in aggregate of all the subjects in the qualifying degree examination, excluding languages, may be taken into account. In case, where the language alone is the subject to qualifying examination, the percentage of marks obtained by the candidate in the said examination may be taken into account.

The eligibility criteria of M.Sc. Forensic Science of LNJN is given below. Eligibility criteria B.Sc. Of minimum 3 years duration with at least 50% marks in aggregate from a recognised University. Also, the candidate must have studied from at least 1st year (2 semesters) of the 3 years degree course any 2 subjects out of (1) Physics, 2) Mathematics or Statistics 3) Chemistry 4) Biology (Zoology or Botany or Genetics or Biochemistry or Biotechnology or Physical Anthropology). Admission criteria : Admission shall be on the basis of the merit of the written test / CET. So from above a candidate must have studied any two subjects from Math/ Statistics, Physics, Chemistry and Biology at least in first year of his B.Sc. You have mentioned about the Physics you have studied for two years. But what about the other subjects in B.Sc. First year? So if you have studied any two subject from Math, Physics or Chemistry at least in first year of B.Sc. Course than you can be eligible. Please write about the first and second year of subjects if have any confusion.