Psychology

Universities like DU do offer all the courses but you cannot major in all of them. You will need to choose and apply to one specialisation.

The duration of Ph.D. depends on student only although it can vary for part-time and full-time candidates. Generally, maximum time limit is 5 years.

It is always recommended for the aspiring psychologists to pursue a regular course in psychology because psychology as a discipline involves learning from the environment. Some of the distance learning universities (best) are:
Indira Gandhi National Open University (IGNOU)
Annamalai University of Mumbai
Andhra University
Madras University
Dr. B. R. Ambedkar Open University
Osmania University.

You can work as:
Clinical Psychologist. Government Researcher. Industrial-Organizational Psychologist. Marriage and Family Therapist. Mental Health Clinician. Professional Consultant.

No, there is no entrance exam for admission in MA in psychology.

Generally in India, B.Sc. In Psychology is offered of three years duration. B.Sc. (Hons) may take one more year than that is of four years duration.