St. Xavier's College, Mumbai

Yes, St. Xaviers college, Mumbai does have B.A in political Science. It is one of the best colleges if you want to opt for political Science. The cut-off percentage is generally high around 95%.

No, you can't get admission in St. Xavier's.

You need to fill an admission form on the website (xaviers.edu) which is available only in the month of April and May. Therefore you will get to know all the details of the entrance and merit-based admission.

No, St. Xavier's doesn't provide corresponding or distance learning courses. Otherwise too, BA is a full time course at Xavier's. Admissions are based purely on merit. And, the cut off for the same is above 95% every time.

BMM/BMS fall under the category of self-financed courses (comparatively expensive)
This is because these are professional courses provide technical knowledge. They are not just graduation degrees, but will land you in to a technical world. Even after being a government funded college, Xavier's College charge a higher fees for BMM and BMS, as the study kit involved in it charges more than for nominal courses.

St. Xavier's College, Mumbai does not provide BBA.

Xavier's College, Mumbai does not provide clinical research PG course.

No, its merit based. And, then, there is interview but there's no entrance.

It's based on your abilities, score and CV.
The average salary is 4-6 lakhs per annum provided you have got excellent skills.

The 1st cut-off is already out and it is 98% for open category. You don't get any benefits or quota other than Christian minority quota and special seats that include managements and sports quota.