K J Somaiya Institute of Management

Core usually get filled at 300-350 maximum.
Core-maximum rank 326, IB- maximum rank 650, RM- maximum rank 1000, FS-maximum rank 2000 and comm-maximum rank 2000.

Yes, all marks are given ranking and accordingly marks are added for final merit list.

Depends on specialization, Marketing, Finance, International Business, retail management are must electives:
https://www.shiksha.com/mba/course/post-graduate-diploma-in-management-k-j-somaiya-institute-of-management-studies-and-research-ghatkopar-east-mumbai-11644

You can try BIMTECH and ITM - Navi Mumbai. IB is not a lucrative profile. You have to start in general from hard core sales by visting various trade fair, event and generate foreign clients for your organization and make them prospect customer.
It may be target based and if you are good with that, then you can go for that or you can try dual marketing and IB. You can verify the job profile with placement officer or try a secured sustainable job in IB by CAT.

Dear student,
Entrance test score doesn't guarantee admission. Admission depends upon a lot of factors like past academics,entrance test score and GD/PI performance.
So, in order to make it, prepare well for GD/PI rounds.
All the best.

The chance of getting admission depends on the overall score in various section like exam marks, GD/PI, academics, extra-curricular and work experience.