Step 1: Identify structure A.
Structure A contains a benzene ring having a propanoic acid side chain and an isobutyl group at para position.
The parent chain is propanoic acid, and the benzene ring is attached at carbon-2.
The para substituent on the phenyl ring is isobutyl.
Therefore, structure A is:
\[
\text{2-(4-isobutylphenyl)propanoic acid}
\]
So,
\[
A = R
\]
Step 2: Identify structure B.
Structure B contains three carboxylic acid groups and one hydroxyl group.
The parent chain is propane with carboxylic acid groups at positions 1, 2, and 3.
A hydroxyl group is also present at position 2.
Therefore, the correct IUPAC name is:
\[
\text{2-Hydroxy-1,2,3-propanetricarboxylic acid}
\]
So,
\[
B = S
\]
Step 3: Identify structure C.
Structure C contains two terminal aldehyde groups.
The parent chain contains six carbon atoms with aldehyde groups at both ends.
Two bromine atoms are present at positions 2 and 3.
Therefore, the correct IUPAC name is:
\[
\text{2,3-Dibromohexanedial}
\]
So,
\[
C = Q
\]
Step 4: Identify structure D.
Structure D contains a phenyl group attached to a pentane chain.
The parent chain is pentane.
The phenyl group is attached at carbon-1, and bromine atoms are attached at carbon-2 and carbon-3.
Therefore, the correct IUPAC name is:
\[
\text{2,3-Dibromo-1-phenylpentane}
\]
So,
\[
D = P
\]
Step 5: Combine all matched pairs.
From the above identification:
\[
A = R
\]
\[
B = S
\]
\[
C = Q
\]
\[
D = P
\]
Step 6: Match with the options.
The option containing the matching:
\[
A = R,\; B = S,\; C = Q,\; D = P
\]
is option (B).
Step 7: Final Answer.
Thus, the correct matching is:
\[
\boxed{A = R,\; B = S,\; C = Q,\; D = P}
\]
Hence, the correct answer is option (B).