Step 1: Match Glucose to \(n\)-Hexane.
When glucose is heated with excess hydroiodic acid in the presence of red phosphorus, complete reduction takes place and all oxygen atoms are removed.
\[
\text{Glucose}
\xrightarrow[\Delta]{HI}
n\text{-Hexane}
\]
Thus,
\[
(A)\rightarrow(III)
\]
Step 2: Match Glucose to Oxime.
The aldehyde group of glucose reacts with hydroxylamine to form glucose oxime.
\[
\text{Glucose}+NH_2OH
\rightarrow
\text{Glucose Oxime}
\]
Therefore,
\[
(B)\rightarrow(I)
\]
Step 3: Match Glucose to Gluconic Acid.
Bromine water is a mild oxidizing agent and oxidizes only the aldehyde group to carboxylic acid.
\[
\text{Glucose}
\xrightarrow{Br_2/H_2O}
\text{Gluconic Acid}
\]
Hence,
\[
(C)\rightarrow(IV)
\]
Step 4: Match Glucose to Saccharic Acid.
Nitric acid is a strong oxidizing agent.
It oxidizes both the aldehyde group and terminal alcohol group into carboxylic acids.
\[
\text{Glucose}
\xrightarrow{HNO_3}
\text{Saccharic Acid}
\]
Thus,
\[
(D)\rightarrow(II)
\]
Step 5: Write the final matching.
\[
(A)-(III),\ (B)-(I),\ (C)-(IV),\ (D)-(II)
\]
Hence the correct option is
\[
{\text{Option (A)}}
\]