Hey Vanshaj.

A student studying PCM in class 12 is very much eligible to persue BA after the completion of class 12. There are several entrance exams which you can take for admissions in BA. Some of them are:

DU JAT

IPUCET

BHU UET

SET

CUCET

JMI Entrance Exam

AMU Entrance exam

JNUEE

Mumbai University 

You can also consider the local colleges/universities of the state you live in. Some exams which I have mentioned are over. For some the applications are on. 

Hope this helps. All the best.