Psychology

Master of Arts or M.A. Psychology is a postgraduate course in psychology which studies human behavior and human psychology. It is concerned with thorough and comprehensive study of psychology as a discipline. Minimum eligibility for this course is a graduation degree from any stream passed from any recognized university.

Cut off of DU is always very high.
You will get admission in almost 3rd or 4th counselling.

https://www.shiksha.com/humanities-social-sciences/psychology/colleges/colleges-india?uaf[]=base_course&ts=4294935&rf=filters&bc[]=26
Go to above link to get list of good colleges providing B.Sc psychology course in India.

For a B.A. in Psychology you must have Psychology as a paper in your plus two. Some colleges also ask for maths and statistics, however it is not mandatory. Since there is a paper of 'statistics' in psychology, an elementary knowledge about maths and stats is needed.
Also most of the colleges in some universities like Calcutta university and some universities in South India offer a B.Sc in psychology. However to get a B.Sc degree you must have science in your Plus two subjects and psychology which can be elective.