Computers & IT (Non-Engg)

No this is not possible without maths.Some universities provide you without maths admission but in 2nd year of BCA maths is compulsory so you're not eligible.
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It is a decent college with all possible amenities like Modern labs, infrastructure, Huge library and modern teaching paradigm.
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Both the courses has own aspects and curriculum. If you want to move into IT world or want to explore in Coding, Development, Testing then You can go for MCA or if you want to move your career towards Management side then MBA is best-fit for you.
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The minimum eligibility to apply is the candidate should have passed 10+2 from a recognised board with the minimum aggregate for each course. Selection of candidates to all the UG courses is done on the basis of merit in the qualifying examination!
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No, there isn't any scholarship on the basis of entrance exam. It has been held just for the sake of admission. However, you can get scholarships once you join KIIT and come out with flying colors in respective semester exams.

Yes, many institutions provide short-term courses like 4-12 weeks in programming languages. Find a best institute near you and contact them.
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Yes, you have a good score in your 12th. Apply for the course on the official website of the college. Admission is based on the marks obtained in 10+2.
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All the colleges are very reputed and government recognized. You can go for any college, check your location and other facilities you want like Campus life, Amenities etc. If you are able to crack IPU CET and get top colleges like VIPS, Maharaja agrasen etc., Then grab that opportunity.
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DAV College, Chandigarh is one of the top 10 colleges for the BCA. If you are able to get into it. Grab the opportunity.
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In BCA course, there are ample number of subjects to be studied. If you want a programmer choose a language of your choice like c, c+, Java, python. Master the language and apply for the jobs. You can also go in testing after BCA or in the field of operating system management.
Good Luck.