MBA/PGDM

Yes, you can pursue MBA after BA. You can go for BA in public policy and administration and then further do MBA in human resource management. This combination would fetch you amazing jobs.
You should enroll for BA in UPES as it is the only university providing IAS coaching along with this course.
For

You cannot get good ones, but certainly average colleges.

They might have higher cutoff based on ranks. You can check with them for exact cutoff and criteria on which ranks have been allotted.

Do you have work experience?
What is your educational background?

Dear Kashish,
The fee for MBA ranges from 20,000 AUD to 30,000 AUD depending on the University, you can take an average of 25,000 for calculation purpose, the living cost as per the border agency is 20,000 AUD, so a 2 year MBA will cost about 90,000 AUD which at today's rates is about INR 50 lacs. Do

It majorly depends on which university you are getting admission in as all three countries have some of the best business schools. If finance is not a constraint, then Canada is the best choice. Germany stands on 2nd number and New Zealand on 3rd.

Any graduate who has cleared aptitude test as applicable to the institute can pursue an MBA.

One can be a regular course and the other distance education, but depends on the university. Some universities permit a degree and a certificate course to be done together.

There are lots of B-schools which accept entrance exams other than CAT.

You should opt for MBA. The selection criteria of M.Tech is very high.