M.Sc Chemistry

I am not sure what you are trying to ask for. The entrance exam for M.Sc. Chemistry is
1. IIT JAM
2. BHU PET
3. TIFR GS
4. CUCET
5. JNUEE.

In Chemistry all disciplines like Inorganic, Organic, Physical, Analytical Chemistry are equally important for Research. If you are not onto research, then you can choose your favorite discipline. Each discipline has its own scope in Industry.

You should prepare for CSIR NET (now known as NTA Joint CSIR-UGC NET)
UGC NET has no chemical sciences paper
CSIR NET has a Chemical sciences paper
As an M.Sc. Chemistry candidate for NET, you should choose Chemical sciences paper.

No, but you should have studied 2 math papers in your BSc to fulfill the eligibility.

Some institutes uploaded PDFs of the syllabus of M.Sc. Chemistry on the official website.
For example IITM, NITT, Pondicherry University, etc.

Sardar Patel University Gujarat is better as per reviews and rank.

1. Get strong with your basics.
2. Practice previous year's question papers.
3. Catch the topics that you may have skipped in your B.Sc.

B.Sc. Chemistry takes 3 years,
M.Sc. Chemistry takes another 2 years,
Ph.D. Chemistry takes 3 to 5 years depending upon your research output and willingness. The general eligibility for B.Sc. Chemistry admission is passed in all subjects of 12th grade with Science subjects like PCM. Score as much as possible to get admission easily.

Go with your interest because each of them has its own importance in the industry.
If you have an idea of doing research, then go for the branch which contains your research interest topic.