Identify the alcohols X, Y and Z

CHEMISTRY · Subjective · A Level · Chemistry · Alcohols · Alcohols

Problem

Identify the alcohols X, Y and Z.

Alcohol	Molecular formula	Oxidized by acidified sodium dichromate(VI)?	Additional notes
X	$\text{C}_3\text{H}_8\text{O}$	yes	The product of oxidation evolves carbon dioxide when $\text{Na}_2\text{CO}_3$ is added.
Y	$\text{C}_4\text{H}_{10}\text{O}$	no
Z	$\text{C}_5\text{H}_{12}\text{O}$	yes	The alcohol has 3 signals in its low-resolution $^1\text{H}$ NMR spectrum.