Which of the following pairs is correctly matched ?

Option 1 is correct. The Diwan-i-Bandagani (department for slaves/servants) was associated with the Tughlaq period—specifically Firuz Shah Tughlaq—so the pairing with ‘Tughlaq’ is accurate. The other pairs are incorrect: Diwan-i-Mustakhraj (Muslim: Mushtakhraj, arrears recovery) is credited to Alauddin Khalji, not Balban. Diwan-i-Kohi / Diwan-i-Amir-i-Kohi (department related to agricultural matters) is linked with Muhammad bin Tughlaq rather than Alauddin Khalji. Diwan-i-Arz (Ariz/Ariz-i-Mumalik, the military department) was introduced or organised under Balban’s reforms, not by Muhammad Tughlaq. Hence only option 1 is correctly matched.