Step 1: Identify reagent \(A\).
Propene reacts with HBr in the presence of peroxide by the anti-Markovnikov addition.
\[
\mathrm{CH_3CH=CH_2}
\xrightarrow[\mathrm{(C_6H_5CO)_2O_2}]{\mathrm{HBr}}
\mathrm{CH_3CH_2CH_2Br}
\]
Thus,
\[
X=\mathrm{1\!-\!bromopropane}.
\]
Step 2: Formation of \(Y\).
Wurtz reaction gives
\[
2\mathrm{CH_3CH_2CH_2Br}
\xrightarrow{\mathrm{Na/dry\ ether}}
\mathrm{n\!-\!hexane}.
\]
Hence,
\[
Y=\mathrm{n\!-\!hexane}.
\]
Step 3: Identify reagents \(B\) and \(C\).
Aromatization of \(n\)-hexane at
\[
773\,\mathrm{K},\ 10{-}20\,\mathrm{atm}
\]
is carried out using
\[
\boxed{\mathrm{Cr_2O_3}}.
\]
Isomerisation of alkanes occurs in the presence of
\[
\boxed{\mathrm{anhyd.\ AlCl_3/HCl}}.
\]
Therefore,
\[
\boxed{
A=\mathrm{HBr/(C_6H_5CO)_2O_2},\;
B=\mathrm{Cr_2O_3},\;
C=\mathrm{anhyd.\ AlCl_3/HCl}
}
\]
Hence,
\[
\boxed{(C)}
\]
is the correct answer.