Answer: A
Joining the carbonyl carbons gives A = (CHX3)X2C=CH−CHX2CHX3 (2-methylpent-2-ene). With peroxide, Br⋅ adds to the less substituted carbon (CX3) to give the more stable tertiary radical at CX2. The product is (CHX3)X2CH−CHBr−CHX2CHX3, 3-bromo-2-methylpentane.