Dear student,
Whoa...you have a huge list of options!! Let's start one by one:
St. Xavier's, Kolkata offers UG courses in Humanities & Science only. So, yes, they do have B. Sc course in Computer Science. The admission is basis marks scored in Class 12 Board exams. The college does not offer BCA course or IT course. Also, JEE Mains is NOT required for admission here.
However, if you wish to pursue B. Tech in Computer Science or B. Tech in IT, then yes, you will need to appear for JEE or any national level exam or state level exam like WBJEE or university level exam like BITSAT, depending upon where you want admission in. The 2017 JEE application form is out and if you want to apply, do so now.
Do not confuse B. Tech with BCA or B. Sc. If you want to talk to a counselor to get more clarity on them, let us know. We will arrange for a career counselor to have a chat with you to give you clarity.
However, here is a list of colleges as per your query.
You may also want to read important JEE 2017 information:
Good luck!!
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