Step 1: Vasculitides are classified by the calibre of the vessel predominantly involved - large, medium, or small.
Step 2: Large vessel vasculitis includes giant cell arteritis (temporal arteritis), Takayasu arteritis, and Cogan syndrome. So options a, b and d all belong to the large vessel group.
Step 3: Churg-Strauss syndrome (eosinophilic granulomatosis with polyangiitis) is an ANCA-associated small vessel vasculitis. It is therefore the odd one out and the correct answer.
Step 4: For context, medium vessel vasculitis includes classical polyarteritis nodosa, Kawasaki disease and Buerger's disease, while other small vessel types include HSP, Wegener's granulomatosis and microscopic polyangiitis.