Hii yashaswini,

Coming  to your question I want to tell you that yes BA Hons in physcology is available in the presidency University ,Chennai

The cuttof. For the physcology department in the presidency University is will be between 70-90% depending on the various courses if you had your marks in between them then feel relaxed.

Hope this helps you feel free to ask if you still have a doubt.

Good luck:)