The order of reactivity with alcohols with lucas reagent is 3∘>2∘>1∘ ∴ Lucas reagent reacts fastest with 3∘ alcohol.
(a) butanol - 1 (1∘ alcohol)CH3−CH2−CH2−CH2OH
(b) butanol-1 (2∘ alcohol)CH3−CH2−C∣OHH−CH3
(c) 2 - methyl 2 - propanol (3∘ alcohol)CH3−O∣HC∣CH3−CH3
(d) 2 - methyl 1- propanol (1∘ alcohol)CH3−C∣CH3H−CH2OH ∴ choice (c) is the answer as it is 3∘ alcohol and rate of reaction is fastest for 3∘ alcohol.