You can halogenate one of the 1o carbons on 2-methylpropane and deprotonate the ethylyne with a strong base (like sodium amide). The deprotonated ethylyne is a nucleophile and can do an SN2 reaction on the halogenated 2-methylpropane. Then add water with HgSO4 and sulfuric acid to convert the alkyne into a ketone.
Tricky part is halogenating the 1o carbon instead of the 3o carbon on 2-methylpropane, but it turns out to be less of a problem using chlorine than, say, bromine...