To determine the correct answer, let`s analyze the events mentioned in List II and match them with the corresponding periods in List I:

I. 1883 - (A) Announcement of Communal Award from Whitehall

II. 1906 - (B) Formation of the All-India State Peoples Conference

III. 1927 - (C) Foundation of Muslim League at Dacca

IV. 1932 - (D) First session of National Conference at Calcutta

Now, let`s go through the options provided and see which one correctly matches the events with their respective periods:

Option 1: I - D, II - C, III - A, IV - B

Option 2: I - C, II - D, III - A, IV - B

Option 3: I - D, II - C, III - B, IV - A

Option 4: I - C, II - D, III - B, IV - A

To determine the correct answer, let`s examine each event in detail:

I. The announcement of the Communal Award from Whitehall refers to a significant decision made by the British government in 1932, which granted separate electorates to various religious communities in India. This aligns with Option 3 (I - D).

II. The formation of the All-India State Peoples Conference took place in 1927. This aligns with Option 3 (II - C).

III. The foundation of the Muslim League at Dacca occurred in 1906. This aligns with Option 3 (III - B).

IV. The first session of the National Conference at Calcutta refers to an event that happened in 1883. This aligns with Option 3 (IV - A).

Therefore, based on the detailed analysis, the correct answer is Option 3: I - D, II - C, III - B, IV - A.