The correct answer is "Shatranj Ke Khilari". Let`s take a look at each film:
1. "Shatranj Ke Khilari": This is an Indian film directed by Satyajit Ray, based on a story written by Munshi Premchand. Notably, Pearl S. Buck, a Nobel laureate in Literature, did a translation of the same story in English. So, she collaborated indirectly in the making of this film.
2. "Guide": This is another Indian film, directed by Vijay Anand and based on the novel of the same name by R.K. Narayan. Pearl S. Buck had no collaboration for this film.
3. "Lawrence of Arabia": This is a British historical drama film directed by David Lean. It`s based on the life of T. E. Lawrence. It does not bear any connection with Pearl S. Buck.
4. "Titanic": This is a British-American romantic disaster film directed by James Cameron. The story isn`t based on any work by Pearl S. Buck, so she had no involvement with this film.
From the analysis, we see that Pearl S. Buck only collaborated, albeit indirectly, with "Shatranj Ke Khilari