We are looking for one word that consistently fits each blank with correct grammar and meaning.
In sentence A — "Communism states that every individual must live for the ............." — the word "state" makes sense as communism often promotes service to the state as a collective entity.
In sentence B — "The ............. of the affairs of the nation is deplorable." — "state" here refers to the condition or situation, which works perfectly.
In sentence C — "............. have been laid down by the United States: states The Statesman." — in this context, "state" refers to the political divisions within a country, as in the United States, so "states" is correct.
In sentence D — "No ............. has succeeded in gaining complete autonomy from the Federal government." — again, "state" refers to an individual political unit within a federal system.
The other options do not maintain consistency: "nation" fails in C and D, "government" does not fit well in B and C, and "condition" fails in A, C, and D.
Therefore, "state" is the only option that works across all four blanks.