Noble gases do not react with other elements because.......

Which of the following reactions does not involve the liberation of oxygen?

What is the atomic state of noble gases?

Why do noble gases have comparatively large atomic sizes?

Given below are two statements:
Statement-$I$: Noble gases have very high boiling points.
Statement-$II$: Noble gases are monoatomic gases. They are held together by strong dispersion forces. Because of this,they are liquefied at very low temperatures. Hence,they have very high boiling points.
In the light of the above statements,choose the correct answer from the options given below:

$Xe_{(g)} + 3F_{2(g)} \xrightarrow{573 \ K, 60-70 \ bar} XeF_{6(s)}$ ($1:20$ molar ratio).
$XeF_6 + H_2O \rightarrow XeOF_4 + 2HF$ $(Y)$
$XeF_6 + 3H_2O \rightarrow XeO_3 + 6HF$ $(Z)$
The correct statements regarding $Y$ and $Z$ are:
$I$. $Y$ has square pyramidal geometry
$II$. $Y$ has linear geometry
$III$. $Z$ has $3 \sigma, 3 \pi$ bonds and $1$ lone pair of electrons on the central atom
$IV$. $Z$ has tetrahedral geometry