M.Sc

Yes, you can pursue M.Sc in Maths after B.Tech, detailed eligibility is mentioned below:
M.Sc Mathematics Eligibility:
Candidates should have a pass B.Sc. (Mathematics) or B.Sc. (Mathematics and computer applications) degree or any other degree of another university as equivalent thereto shall be eligible for PG admission. A pass in B.Sc with a minimum aggregate of 60% is desirable but the marks of admission for the course may vary from university to university.

The difference between MA and M.Sc in Psychology is not much. But it will differ according to the university/college offering you the same. Talking generally about MA offered in India by some top universities like Delhi University, Jamia Millia Islamia, Ambedkar University, etc., has a different approach and a combination of all subjects whereas M.Sc offered by BHU, Allahabad University, etc., focuses more on cognitive aspect of it. But, if we say what would be best to choose, it will not matter if your interest lies primarily in psychology.

There is no university in India offering Master of Science in finance (MSF) course.

Hi Harika, The best way to go ahead is by first checking the university admission deadline, without having any target or goal you should't fix any test dates. You have to first know if universities will accept applications so late because usually you have to apply by November or December of the previous year. Please visit the university websites first and check the deadlines.

Hi Onkar,
The conditions or the admission requirements differ from university to university. On a general front you have to hold an undergraduate degree in mechanical engineering with a good percentage, a first class is preferred. In addition you must take the IELTS an overall band of 6.5 will be required by majority of the colleges. You should see these on the university websites and understand the admission requirements alongwith the deadlines. Most will have a rolling admission system. These are the main conditions, for more you need to check with the universities.

Engineering Mathematics is a branch of applied Mathematics concerning Mathematical methods and techniques that are typically used in engineering and industry. Along with fields like engineering physics and engineering geology, both of which may belong in the wider category engineering Science, engineering Mathematics is an interdisciplinary subject motivated by engineers' needs, both for practical, theoretical and other considerations out with their specialization, and to deal with constraints to be effective in their work.