Explanation:

- Durand Cup, Santosh Trophy, and Rovers Cup are tournaments associated with the sport of football.

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- *Option 1: Hockey*

- Hockey has its own set of distinguished tournaments like the Sultan Azlan Shah Cup and FIH Hockey World Cup.

- *Option 2: Cricket*

- Popular cricket tournaments include the ICC Cricket World Cup and the Ashes, rather than the Durand Cup or Santosh Trophy.

- *Option 3: Football*

- Football is the correct option. The Durand Cup is one of the oldest football tournaments, the Santosh Trophy is for state teams, and the Rovers Cup was also a popular football competition.

- *Option 4: Badminton*

- Badminton events include the All England Open and the BWF Championships, unrelated to the Durand or Rovers Cup.