Step 1: Map the three long tracts and where they decussate, then apply a one-sided cord lesion. This is the cleanest way to predict Brown-Sequard findings. Step 2: Corticospinal fibres and the dorsal-column fibres for vibration and joint position have already crossed in the brainstem, so cutting one half of the cord drops motor power and proprioception on the SAME side as the lesion, below it. Step 3: Pain and temperature travel in the spinothalamic tract, which crosses just one or two segments after entering. A hemisection therefore abolishes pain and temperature on the OPPOSITE side, starting a few segments under the lesion level. Step 4: So the trademark contralateral sign is loss of pain sensation, matching option (b); the other choices misassign the side of proprioceptive or motor loss. \[\boxed{\text{Contralateral loss of pain}}\]