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Choosing a college for pursuing B.Com (Bachelor of Commerce) in Kolkata can depend on several factors such as academic reputation, faculty quality, infrastructure, location, placement opportunities, and affordability. Here are a few renowned colleges in Kolkata known for their B.Com programs:
St. Xavier's College: St. Xavier's College is one of the most prestigious institutions in Kolkata. It offers a B.Com Honours programme with a focus on academic excellence and holistic development. Admission to St. Xavier's College is highly competitive, and the college has a reputation for its quality faculty and strong industry connections. Goenka College of Commerce and Business Administration: Goenka College is another reputed institution offering a B.Com programme. It has a long history and is known for its academic rigor and industry-oriented approach. The college provides a conducive learning environment and has tie-ups with corporate organizations for internships and placements. Presidency University: Presidency University, formerly known as Presidency College, offers a B.Com Honours programme. The college has a rich heritage and is known for its high academic standards. It provides a blend of theoretical knowledge and practical exposure to prepare students for the industry. Bhawanipur Education Society College: Bhawanipur Education Society College is a popular choice among students for B.Com in Kolkata. It offers both B.Com Honours and B.Com General programs. The college emphasizes interactive teaching methods and provides opportunities for skill development and extracurricular activities. Shri Shikshayatan College: Shri Shikshayatan College is a women's college that offers a B.Com Honours programme. It has a well-qualified faculty and a supportive learning environment. The college focuses on academic excellence and overall personality development. It's important for your friend to research and consider factors such as admission criteria, course curriculum, faculty expertise, placement records, and campus facilities while selecting a college. He should also check if these colleges have any specific admission requirements or quotas for students from other state boards. Additionally, it would be beneficial for your friend to visit the college websites, attend college fairs, and seek advice from career counselors to gather more information and make an informed decision based on his preferences and goals.

I'm sorry, but I would need more information about the college you are referring to in order to provide a specific answer to your question.
Generally, the entrance exam that you need to take for admission to a college depends on the course and the college/university you are interested in.
Some of the popular entrance exams in India for undergraduate courses are JEE Main (for engineering), NEET (for medical courses), NATA (for architecture), and CLAT (for law). For postgraduate courses, some of the popular entrance exams are CAT (for management courses), GATE (for engineering courses), and JAM (for science courses).
So, if you could provide me with the name of the college and the course you are interested in, I can give you more specific information on the entrance exam you need to take.