The statement is resolved by identifying Diwan-i-Riyasat as the precise match. The Diwan-i-Riyasat administered Alauddin Khalji's regulated markets; the shahna-i-mandi enforced rules within the market. This problem belongs to the institutional history of the Delhi Sultanate, where authority depended on mobile military elites, revenue assignments and close supervision from the capital. Administrative terms must be distinguished carefully because a department, an officer and a fiscal assignment performed different functions. The distractors need separate rejection: Diwan-i-Insha belongs to a different institution, context or chronology; Diwan-i-Kohi does not perform the function described in the stem; and Diwan-i-Arz fails the required association. The wording of “Which department supervised Alauddin Khalji's market-control regulations in Delhi?” is deliberately specific, so the candidate should isolate its operative clue before recalling names. — Diwan-i-Riyasat”, but also remember the factual reason stated above.