Chemistry Question from JEE Main 2026 · 24 January, Shift 1

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 _____.