Step 1: Formula / Definition}
\[
\mathrm{MnO_2} \xrightarrow{\text{oxidizes}} \text{Allylic } -\mathrm{OH} \rightarrow \mathrm{C=O}
\]
\(\mathrm{MnO_2}\) oxidises allylic alcohol Step 2: Calculation / Simplification}
\(\mathrm{MnO_2}\) is selective for allylic and benzylic alcohols.
In the given diol, only the \(-\mathrm{OH}\) adjacent to the double bond (allylic position) is oxidized.
The isolated \(-\mathrm{OH}\) remains unaffected. Step 3: Final Answer
\[
\text{Option (b)}
\]