To solve this problem, we need to analyze the two statements given in the question:$\newline$Statement I: In Lucas test, primary, secondary, and tertiary alcohols are distinguished on the basis of their reactivity with conc. HCl + ZnCl$_2,$ known as Lucas Reagent.$\newline$Statement II: Primary alcohols are most reactive and immediately produce turbidity at room temperature on reaction with Lucas Reagent.$\newline$Let's evaluate each statement:$\newline$• Statement I: This statement is correct. The Lucas test is indeed used to distinguish between primary, secondary, and tertiary alcohols based on their reactivity with Lucas Reagent (conc. HCl + ZnCl$_2). \newline$ Tertiary alcohols react immediately to form turbidity, secondary alcohols take a few minutes, and primary alcohols do not react at room temperature.$\newline$• Statement II: This statement is incorrect. In the Lucas test, tertiary alcohols are the most reactive and produce turbidity immediately. Primary alcohols are the least reactive and do not produce turbidity at room temperature.$\newline$Analyzing the options:$\newline$• Option 1: Both Statement I and Statement II are incorrect. This is not true as Statement I is correct.$\newline$• Option 2: Both Statement I and Statement II are correct. This is incorrect as Statement II is wrong.$\newline$• Option 3: Statement I is correct, but Statement II is incorrect. This is the correct choice.$\newline$• Option 4: Statement I is incorrect, but Statement II is correct. This is incorrect as Statement I is correct.$\newline$Therefore, the correct option is Option 3.