Step 1: Conceptualization:
The objective is to order four significant figures of the Bengal School of Art chronologically by their birth year.
Step 3: Elaboration:
To determine the correct sequence, the birth year of each individual is required:
(C) E. B. Havell: Ernest Binfield Havell, a British art administrator instrumental in promoting the Bengal School, was born in 1861.
(B) Abanindranath Tagore: The progenitor of the Bengal School, was born in 1871.
(D) Kshitindranath Majumdar: A notable disciple of Abanindranath Tagore and a principal artist of the Bengal School, was born in 1891.
(A) Abdul Rehman Chughtai: An artist associated with the Bengal School aesthetic, was born in 1897 (alternate sources suggest 1899).
Ordering them from earliest to latest birth year yields the sequence: E. B. Havell$\rightarrow$Abanindranath Tagore$\rightarrow$Kshitindranath Majumdar$\rightarrow$Abdul Rehman Chughtai. This aligns with the order (C), (B), (D), (A).
Step 4: Conclusion:
Based on their respective birth years, the accurate chronological order is (C) E. B. Havell, (B) Abanindranath Tagore, (D) Kshitindranath Majumdar, (A) Abdul Rehman Chughtai.