World heritage (Buddhist art): Identify the site famous for a gigantic rock-cut statue of the Buddha. Full question: Which of the following places is renowned for its monumental, rock-cut statue(s) of Buddha? Choose the correct option.

Given

• Looking for a site famed for a gigantic rock-cut Buddha statue.

Concept/Approach
The colossal Buddhas of Bamiyan (Afghanistan) were monumental rock-cut statues carved into cliffs—historically among the tallest standing Buddha figures.

Distractors
Ajanta/Ellora feature rock-cut caves and sculptures but not a single gigantic free-standing Buddha of Bamiyan scale. Sarnath and Bodh Gaya are key Buddhist sites (preaching/enlightenment) but not for a gigantic rock-cut Buddha statue.

Final Answer
Bamiyan (Afghanistan).