Correct answer: (CH3)2CHCH2Br
Acetoacetic ester after alkylation, hydrolysis and decarboxylation gives a methyl ketone CH3-CO-CH2-R. For 5-methyl-2-hexanone, CH3-CO-CH2-CH2-CH(CH3)-CH3, the fragment R is -CH2-CH(CH3)2 (isobutyl), so the required alkyl halide is isobutyl bromide, (CH3)2CHCH2Br.