What is the correct major product of the following reaction?

$A$ hydroxy compound $(X)$ with molar mass $122 \ g \ mol^{-1}$ is acetylated with acetic anhydride,using a large excess of the reagent ensuring complete acetylation of all hydroxyl groups. The product obtained has a molar mass of $290 \ g \ mol^{-1}$. The number of hydroxyl groups present in compound $(X)$ is :

Which reagent is useful for the conversion of cyclohexanol to chlorocyclohexane?

When the product formed by the reaction of $1-$methylcyclohexene with $H_3O^+$ is treated with Lucas reagent,when does turbidity appear?

Product $(P)$ is

What are $X$,$Y$ and $Z$ in the following reaction?
$R-OH + PCl_5 \longrightarrow X + Y + Z$