Yes,for admission to bsc honours psycology most of the colleges takes entrance test.

Some college takes admission merit based.you need to pass 12th standard with atleast 50 percent marks.

List of the goverment colleges

https://university.careers360.com/colleges/list-of-psychology-universities-in-india

See for most of the government colleges, there are no admission entrances for the BSc Psychology course and the admission is purely on the basis of merit. So the probability is that if you have good marks in your 10+2 then you can easily get admission to the college.

Now there are some universities in which they offer the course of BSc then they can take admission. So if you have any college in your mind just check the admission procedure visiting the official website of the college.

To know more about the BSc Psychology visit the link below:

https://www.careers360.com/courses/bsc-in-psychology

To know more about Government BSc Psychology colleges in India visit the link below:

https://university.careers360.com/colleges/list-of-psychology-degree-colleges-in-west-bengal?ownership=Public/Government&degree=B.Sc.(Hons)

I hope this answer helps. All the very best for your future endeavors!