M.Sc

So far my knowledge goes, you can pursue M.Sc Math in some Institute after doing B.Tech Mechanical. For example, Chennai Mathematical Institute allows B.Tech /BE for doing M.Sc Math. They also allow B.Sc Math/B.Math/B.Stat. For M.Sc Maths, you can visit their site for confirmation. Best wishes.

Please check the link below for detailed syllabus
http://oucet.admissions.com/PDF/Syllabus/72.pdf
http://oucet.admissions.com/UI/Syllabus.aspx.

You can do that, if you have chemistry, as one of the major subjects, as in B.Sc, Life sciences or B.Sc. Physical sciences.

Hello, course based programs are more practical oriented programme not much of thesis based, whereas thesis based programme is more of a research based studies.

Cyber Law Questions and Answers | Cyber Law Mock Test - Vskills
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Practice mocks, because last year's question papers aren't available.

Without B.Ed, you can't appear in CTET. After completion of B.Ed, you will be eligible for that.

There are different exams such as JAM, GS, JEST and many other state or central university exam through which you can get admission in Masters or Integrated Master courses and most of them do have a syllabus of Bachelor's course where GS and JEST little bit more advanced syllabus, but questions you'll find there are about basics and to judge how good are you in problem solving skills including how clearly you understood the topics. So when you are willing to prepare for any entrance exam your main focus must be to understand each and every concept rather than just solving and learning problem solving using formulae.

You should use Shiksha's abroad study counsellor service. They will also be able to calculate your chances of admission in a university.

Yes, Annamalai University is reputed institute and all it's Bachelor courses are recognized for admission into Masters.