"But" is used to introduce a contrast between two ideas; essentially, the second statement should oppose the first.
The best approach hereis to try out each of the four possible options presented and see which makes the most sense.
Option A: (I-III):Here, statement (I) talks about Doordarshan as a global marketplace, while statement(III) states the difficulty of addressing India's linguistic diversity.They present nodirect contrast as they discuss unrelated points.
Option B: (II-IV): Here, statement (II) critiques Doordarshan's ethnocentric focus, while statement (IV) suggestsimprovements for promotions. Here, too, there is no clear opposition, and using "but" would force an unnatural contrast.
Option C: (III-IV) :Statement (III) highlights India's diversity as a challenge for unified messaging, while statement (IV)proposes that Doordarshan must go beyond basic reporting. The complete sentence is "With over 1 billion people talking in several languages and a variety of lifestyles to boot, it is obvious one cannot address all of them together all the time, but Doordarshan's promotions must go beyond mere reportage of facts, and capture the story between the lines."This seems to be a good fit, as itpresents a contrast: (III) acknowledges a challenge but (IV) insists on higher standards.
Option D (I-II): Statement (I)praises Doordarshan's global market role, and(II) criticisesits ethnocentric bias. "But" would awkwardly oppose two unrelated traits (global vs. ethnocentric).
The best fit is clearly option C, and hence it is the correct choice.