Answer: C
In the dark, HX+ adds to the terminal carbon to give a secondary cation next to the ring carbon bearing one H. A 1,2-hydride shift gives the more stable tertiary cation in the ring, which is captured by BrX− to give 1-bromo-1-ethylcyclohexane. With peroxide, Br⋅ adds to the terminal carbon and H transfer gives (2-bromoethyl)cyclohexane without rearrangement.