The correct option is A greater
Acidic strength ∝stablity of anion
1. HOBr has a greater extent of back bonding, as oxygen back bonds with Br, creating a partial positive change on oxygen. Hence it(oxygen) snatches away electrons of the acidic H, thus releasing the H+ ion.
2. Charge density of OBr− is more dispersed than OI− thus HOBr is more acidic than HOI.