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Yes, St. Xavier's college, Mumbai accepts CAT scores. The candidates must possess a valid score in CAT.
No candidate shall be eligible for admission after a lapse of mpre than five years from the year of passing the previous qualifying exam.
For admission to all courses, a student must have studied and passed in English in the +2 level. Admissions of the students failing in English or not having English will be cancelled.

Hello Aadil Panjawani, yes indeed. All colleges allow lateral admission for giving admission to Diploma holders directly into second year of four year degree course. You just need to download brochure of your intended college and follow procedure prescribed. That's all. Best wishes to you.