Identify compounds A, B, and C from the following information.

(a) Compound A, C₈H₁₀O, is insoluble in water but soluble in aqueous NaOH solution, and yields 3,5-dimethylcyclohexanol when hydrogenated over a nickel catalyst at high pressure.

(b) Aromatic compound B, C₈H₁₀O, is insoluble in both water and aqueous NaOH solution. When treated successively with concentrated HBr, then Mg in THF, then water, it gives p-xylene.

(c) Compound C, C₉H₁₂O, is insoluble in water and in NaOH solution, but reacts with concentrated HBr and heat to give m-cresol and a volatile alkyl bromide.