Step 1: Check statement I.
\[
CCl_4
\]
does not undergo hydrolysis because carbon has no vacant \(d\)-orbitals and cannot expand its octet.
However,
\[
SiCl_4
\]
undergoes hydrolysis because silicon can accept electron pairs from water.
So, statement I is false.
Step 2: Check statement II.
For germanium, the \(+4\) oxidation state is more stable than the \(+2\) oxidation state.
Therefore,
\[
GeX_4
\]
is more stable than
\[
GeX_2
\]
So, statement II is true.
Step 3: Check statement III.
Due to inert pair effect, the stability of \(+2\) oxidation state increases down group 14.
For lead,
\[
Pb^{2+}
\]
is more stable than
\[
Pb^{4+}
\]
Therefore,
\[
PbX_4
\]
is less stable than
\[
PbX_2
\]
So, statement III is true.
Step 4: Check statement IV.
The stability of dihalides increases down the group due to inert pair effect.
So, statement IV is false.
Step 5: Final conclusion.
Hence, the correct statements are
\[
\boxed{\text{II, III only}}
\]