The correct option is A-II, B-I, C-IV, D-III.

Let us verify and understand the association between each literary work in List-I and its respective author in List-II:

A. My Days with Gandhi matches with II. N. K. Basu
Nirmal Kumar Bose (N. K. Basu) was a renowned anthropologist, sociologist, and close associate of Mahatma Gandhi. In his book My Days with Gandhi, he provides a firsthand account of his experiences working as Gandhi's personal secretary during his travels, particularly during the turbulent times in Noakhali in 1946-1947.

B. Among the Great matches with I. D. K. Roy
Dilip Kumar Roy (D. K. Roy) was a prominent musician, singer, and writer who was associated with Sri Aurobindo's ashram. His book Among the Great contains conversations and exchanges with some of the most influential figures of his time, including Mahatma Gandhi, Rabindranath Tagore, Romain Rolland, Bertrand Russell, and Sri Aurobindo.

C. Life of Sri Aurobindo matches with IV. A. B. Purani
Ambalal Balkrishna Purani (A. B. Purani) was a disciple of Sri Aurobindo and spent many years at the Sri Aurobindo Ashram in Pondicherry. He authored The Life of Sri Aurobindo, which serves as a highly detailed and authentic biography of the philosopher and spiritual leader.

D. Rabindranath Tagore matches with III. Krishna Kripalani
Krishna Kripalani was a noted writer, biographer, and administrator who served as the first secretary of the Sahitya Akademi. He was married to Tagore's granddaughter and wrote a celebrated biography titled Rabindranath Tagore: A Biography, capturing the life, art, and vision of the Nobel laureate.

Combining these matches, we get:
A - II
B - I
C - IV
D - III