Hello, Arpita. The best institutions for pursuing BCA in West Bengal, Uttar Pradesh and Punjab are as follows:

Best places for pursuing BCA in Uttar Pradesh:

1. Lucknow University: 

Eligibilty Criteria: An aggregate of 50% Marks in Class 12th and 45% for SC/ST Candidates

Process of Admission: Entrance Examination Test of 400 Marks. 

2. Integral University

Eligibility Criteria: The student must have scored 45% marks in Class 12th from recognized Boards/Universities

Process of Admission: Merit List and Counselling

3. Amity University (Lucknow)

Eligibility Criteria: The students must have passed in Class 12th.

Process of Admission: On the basis of marks scored in Class 12th. 

Best Places for pursuing BCA in Punjab:

1. Chandigarh University

Eligibility Criteria: Successfully passed Class 12th or equivalent

Process of Admission: On the basis of Marks scored in Class 12th

2. Chandigarh Group of Colleges

Eligibility Criteria: Students must have scored 45% marks in Class 12 and there is 5% marks concession for reserved category SC/ST. 

Process of Admission: On the basis of marks achieved in Class 12. 

3. Lovely Professional University

Eligibility Criteria: The student must have passed Class 12th Examination with 50% Marks with English.

Process of Admission: On the basis of LPU-NEST Entrance Exam. 

Best Places for pursuing BCA in Kolkata

1. Guru Nanak Institute of Technology 

Eligibility Criteria: Student must have scored 45% in Class 12th Examination and must have English/Mathematics/Computer Science. 

Process of Admission: Entrance Examination 

2. Narula Institute of Technology

Eligibility Criteria: Student must have scored 45% Marks in Class 12 with any of these subjects: English/Mathematcics/Computer Science. 

Process of Admission: Direct Admission

3. Techno India College of Technologies

Eligibility Criteria: The candidate must have passed Class 12 or Equivalent

Process of Admission: Direct Admission 

If you are looking for more information, please feel free to ask. All the best!!