Bethune College

No, for Psychology, there is no entrance test. It totally depends on your merit score.

As nothing much is stated by the about the eligibility so I would request you to contact the college officials for details:
Link: http://www.bethunecollege.ac.in/BethuneCollege-Contact.htm

Hi Bishal, Admission to the Bethune College Kolkata is strictly done on the basis of merit, I. e. , the percentage of marks received by the candidate for her Higher Secondary or any equivalent exam. However, for admission to English and Bengali Honours courses, you need to appear for an entrance test. The overall percentage required is 60%. I. e; Physics - 65%
Mathematics - 60%
English - 50%. .

You should have above 75 percentage, as you will get admission according to your JEE rank, so class 12th percentage does not much matter.
Good luck.

Hi Prity,
Yes, you can apply for the course.
ELIGIBILITY CRITERIA:
Candidate should pass (10+2) with maths and english as compulsory subject from CBSE or other board of examination.
1. Aggregate- 60%
2. Maths- 65%, English-50%
All the Best!

Yes, you are eligible to apply for admission.