The official website of St Xavier's College, Mumbai hasn't yet updated any details regarding schedule for entrance test or commencement of application form, due to covid 19 pandemic admission schedules are being revised by concerned officials, so stay updated at http://xaviers.edu/main/ to know more about latest updates regarding the matter.
I assume you're speaking about St. Xavier's College, Mumbai. As of now, there's no official update regarding entrance examinations on the college website.
Also, the college management has posted a notice stating that there are multiple scammers spreading around the word that they're hired by the management to grant admissions in autonomous courses. The management has denied any such claim.
The college official website will be updated as soon as news about admission process and such comes from the education ministry.
Hope this information helps you
Best of luck!!