Answer: C
POCl3 converts the OH into a dichlorophosphate leaving group, and pyridine removes a beta hydrogen in a concerted E2 step with no carbocation. The only beta hydrogens are on C-1, so 3,3-dimethylbut-1-ene is formed without methyl shift. With conc. HX2SOX4 the carbocation route would give 2,3-dimethylbut-2-ene.