Step 1: Match the modality to the fibre size. Conscious proprioception and vibration are fine, high-fidelity senses that demand the fastest conduction, so they ride the largest myelinated axons.
Step 2: The largest, fastest somatic afferents are A alpha fibres (groups Ia and Ib). They relay impulses from muscle spindles, Golgi tendon organs, and the receptors serving position and vibration sense up the dorsal columns.
Step 3: Rule out the others: A beta serves touch and pressure, A gamma is an efferent supply to muscle spindles, and B fibres are thin preganglionic autonomic fibres. None of these carry proprioception or vibration.
\[\boxed{A\ alpha}\]