Durand Cup is associated with the sport of

Football
Golf
Hockey
Table Tennis

The correct answer is (a) Football.

The Durand Cup is an annual football tournament in India. It is the oldest football tournament in Asia, and the second oldest club football competition in the world after the Football Association Challenge Cup in England. The tournament was started in 1888 by the British Indian Army, and is named after Sir Mortimer Durand, the British Foreign Secretary. The Durand Cup is currently contested by 16 teams, including both Indian and foreign teams. The current champions are Mohun Bagan, who won the 129th edition of the tournament in 2021.

The other options are incorrect because:

(b) Golf is a club-and-ball sport in which players use various clubs to hit balls into a series of holes on a course in as few strokes as possible.
(c) Hockey is a team sport in which two teams play against each other by trying to maneuver a ball or puck into the other team’s goal using a hockey stick.
(d) Table tennis is a sport in which two or four players hit a lightweight ball back and forth using table tennis rackets.