Step 1: Identify \(Y\).
Addition of HBr to propene (Markovnikov addition) gives
\[
Y=\mathrm{CH_3CHBrCH_3}
\]
(2-bromopropane).
Step 2: Identify \(Z\).
On treatment with alcoholic KOH, dehydrohalogenation occurs.
\[
\mathrm{CH_3CHBrCH_3}
\xrightarrow{\mathrm{alc.\ KOH}}
\mathrm{CH_3CH=CH_2}
\]
Thus,
\[
Z=\mathrm{CH_3CH=CH_2}
\]
(propene).
Step 3: Analyse the options.
• Propene contains more than two \(\sigma\)-bonds. Hence incorrect.
• Propene has six \(\alpha\)-hydrogen atoms and therefore six hyperconjugative structures. \checkmark
• Propene cannot show cis-trans isomerism because one double-bonded carbon has two identical hydrogen atoms.
• Propene is not the chain isomer of \(X\).
Step 4: Final conclusion.
Hence, the correct statement is
\[
\boxed{\text{Number of hyperconjugative resonance structures possible is }6.}
\]
Therefore, the correct option is \(\boxed{(B)}\).