It's understandable that you're looking for past year question papers for the M.Com entrance exam at St. Xavier's College, Kolkata, especially since they aren't readily available on their official website. Here's how you might try to find them:

1. Contact the Department Directly: The most reliable way to get past year papers would be to directly contact the M.Com department or the admissions office of St. Xavier's College, Kolkata. You can try emailing them or calling their office. They might have a collection of old papers that they could share with prospective students, perhaps in a digital format.

2. Reach Out to Alumni and Current Students: Try connecting with alumni or current students of the M.Com program at St. Xavier's College, Kolkata. You can look for them on platforms like LinkedIn or other social media groups related to the college. They might have kept copies of previous year's question papers that they could share with you.

3. Coaching Institutes: Some coaching institutes that prepare students for M.Com entrance exams might have compiled past year papers for St. Xavier's College as part of their study material. You could inquire with such institutes located in Kolkata or those that offer online coaching for this specific entrance exam.

4. Online Forums and Groups: Explore online forums and social media groups dedicated to M.Com admissions in Kolkata or specifically for St. Xavier's College. Other aspirants or alumni might have uploaded or shared past year papers in these communities.

5. Libraries: While not always the case for entrance exams, you could check if any local libraries in Kolkata, especially those near the college or university libraries, might have copies of past entrance exam papers.