The correct option is
C The
Option A: The given sentence is in the superlative degree of comparison. In such a sentence, one thing has the high est quality 'most polluted city' compared to the other things 'other cities'. In a superlative degree, we use the article 'the'.
Hence option A is correct.
Option B: The article 'a' is an indefinite article. It modifies non specific nouns. Here, the noun 'world' is only one, it's not any world. Hence it's a specific noun and 'a' is not a suitable option.
Option C: 'This' is a demonstrative that points out at a particular object. By saying 'this world', it means that there are other worlds. This meaning is not completely true, hence this word is not suitable.
Option D: 'Our' expresses possession of the noun 'world'. It changes the meaning of the sentence. While laying out facts, it's best to stay neutral and use 'the' instead of 'our'.
Hence options B, C and D are wrong.