Rangaswamy Cup is associated with

The correct answer is: A. Badminton

The Rangaswamy Cup is a women’s badminton tournament held in India. It is named after former Indian badminton player P. V. V. Lakshmi. The tournament is held annually and is one of the most prestigious women’s badminton tournaments in the world.

The other options are incorrect because:

• The Ranji Trophy is a first-class cricket tournament held in India.
• The Durand Cup is a football tournament held in India.
• The Hockey India League is a professional field hockey league held in India.