The correct IUPAC names of the compounds X and Y given below are respectively
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In IUPAC nomenclature:
\[
-OH
\]
has higher priority than alkyl or phenyl substituents.
Therefore numbering must always give the hydroxyl group the lowest possible locant.
Step 1: Naming compound X.
The longest continuous chain contains:
\[
7 \text{ carbon atoms}
\]
Therefore the parent hydrocarbon is:
Heptane
Substituents present are:
Ethyl
and
Methyl
Numbering from the appropriate end gives:
\[
4\text{-Ethyl}
\]
and
\[
3\text{-Methyl}
\]
According to alphabetical order:
\[
\boxed{4\text{-Ethyl-3-Methylheptane}}
\]
Step 2: Naming compound Y.
The principal functional group is:
\[
-OH
\]
Hence alcohol receives suffix priority.
The longest chain containing the hydroxyl group consists of four carbons.
Parent chain:
Butan-2-ol
Phenyl substituent occurs at carbon-1.
Therefore:
\[
\boxed{1\text{-Phenylbutan-2-ol}}
\]
Step 3: Check the options.
Only option (B) contains both correct names.
Step 4: Final conclusion.
\[
\boxed{\text{Option (B)}}
\]