Concept:
Al-Biruni was a versatile eleventh-century Central Asian scholar who traveled to the Indian subcontinent in the train of Mahmud of Ghazni. His encyclopedic text, \textit{Kitab-ul-Hind}, is considered a foundational literary source for understanding early medieval Indian society, culture, and science.
Step 1: Assessing Statement I and Statement IV
The \textit{Kitab-ul-Hind} is an exhaustive work divided into exactly **80 chapters**. It explores an array of subjects, including Indian philosophy, religious systems, festivals, manners, customs, social stratification, weights and measures, iconography, laws, and astronomy. Thus, Statements I and IV are correct.
Step 2: Assessing Statement II
Al-Biruni composed this treatise entirely in **Arabic**, which was the dominant intellectual language of the Islamic world at the time. Urdu and Hindavi did not exist as formal literary media for scholarly works of this type during the early 11th century. Thus, Statement II is incorrect.
Step 3: Assessing Statement III
Al-Biruni adopted a highly structured, geometric approach to writing. Each chapter typically starts with a clear question, follows with a descriptive analysis based on Sanskrit traditions, and concludes with a cross-cultural comparison to Greek or other ancient cultures. Thus, Statement III is correct.
Step 4: Concluding the option match
Since statements I, III, and IV are correct while statement II is false, the correct combination corresponds to Option (A).