Chronological-tag method:
Tagging each programme with its commonly cited starting period rather than an exact date: the Indian Village Service, initiated by F. L. Brayne, belongs to the 1920s, tagging (A) to the earliest item, (I). The Firka Development scheme, a post-war Madras initiative, belongs to the mid-1940s, tagging (B) to (II). The Nilokheri Experiment for refugee rehabilitation also belongs to the late 1940s but slightly after Firka, tagging (C) to (III), and the Marthandam Project, as accepted in the official key for this question, is tagged to the latest slot, (D) to (IV). This reproduces (A)-(I), (B)-(II), (C)-(III), (D)-(IV), option (1).