Yes you can get admission in Master of computer application course after passing BA course if you have pass 12th grade with mathematics subject.

Here I am giving you Eligibility for MCA course offered by reputed colleges in India below :

General eligibility for MCA admission:
You have to pass graduation in any discipline Science, Commerce, Arts, Engineering from a well recognized University and you have studies mathematics as a subject in their 10+2 course or any one year of graduation.

For admission in MCA course you have to pass an entrance examination organized by college administration .

MCA college:
Motilal Nehru National Institute Of Technology (MNNIT)
Apeejay Institute of Management
Jawaharlal Nehru Technological University
PSG College of Technology
International Institute of Management, Media & IT (IIMMI)
Acharya Institute of Management and Sciences (AIMS)
Birla Institute of Technology, Mesra
Greater Kolkata College of Engineering & Management
Anna University
National Institute of Technology
VIT University
Regional College of Management (RCM)
S.S. Institute of Medical Sciences Management Technology & Research
Guru Nanak Institute of Technology (GNIT)
Thapar University
Thiagarajar School of Management (TSM)
Shri Ramdeobaba Kamla Nehru Engineering College
Accurate Institute of Management & Technology
Harlal Institute of Management & Technology (HIMT)
Lovely Professional University
V.R.S.& Y.R.N. College Of Engineering
SSN School of Management and Computer Applications
Geeta Institute of Advanced Computer & Research
Asan Memorial Institute of Management
Punjab College of Technical Education (PCTE)
Veermata Jijabai Technological Institute (VJTI)
Mepco Schlenk Engineering College
Shri Govindram Seksaria Institute of Technology and Science
Rajagiri collage of Social Science
Bangalore Institute of Technology (BIT)