Let us analyze each option to see which gives a dicarboxylic acid.
(A): The starting compound is HO–CH\(_2\)–CH\(_2\)–Cl.
Step (i): Reaction with NaCN:
\[
\text{HO–CH}_2–\text{CH}_2\text{Cl} \xrightarrow{\text{NaCN}} \text{HO–CH}_2–\text{CH}_2\text{CN}
\]
Step (ii): Alkaline hydrolysis:
\[
\text{CN} \xrightarrow{\text{OH}^-, \text{H}_2\text{O}} \text{COO}^-
\Rightarrow \text{HO–CH}_2–\text{CH}_2\text{COO}^-
\]
Step (iii): Acidic hydrolysis:
\[
\text{HO–CH}_2–\text{CH}_2\text{COO}^- \\\xrightarrow{\text{H}_3\text{O}^+} \text{HO–CH}_2–\text{CH}_2\text{COOH}
\Rightarrow \text{Oxidation of alcohol group to acid gives} \text{HOOC–CH}_2–\text{COOH}
\]
Thus, this leads to a dicarboxylic acid:
succinic acid (HOOC–CH\(_2\)–CH\(_2\)–COOH).
This satisfies the condition.
(B): The compound is glucose.
Reaction with Br\(_2\)/H\(_2\)O selectively oxidizes the aldehyde group (\( \text{CHO} \)) to a carboxylic acid (\( \text{COOH} \)) without affecting the primary alcohol.
\[
\text{CHO–(CHOH)}_4–\text{CH}_2\text{OH} \\
\xrightarrow{\text{Br}_2, \text{H}_2\text{O}} \text{COOH–(CHOH)}_4–\text{CH}_2\text{OH}
\Rightarrow \text{Only one COOH formed}
\]
This gives a monocarboxylic acid, not dicarboxylic.
(C): Cyclohexyl bromide undergoes elimination to form cyclohexene with KOH/EtOH
Then:
\[
\text{Cyclohexene} \xrightarrow{\text{KMnO}_4, \text{H}_2\text{SO}_4, \Delta} \text{Adipic acid} (HOOC–(CH\(_2\))\(_4\)–COOH)
\]
This gives a dicarboxylic acid —
adipic acid
So this is also correct.
But between (A) and (C), both give dicarboxylic acid.
However, (A) is a more straightforward conversion and directly gives aliphatic dicarboxylic acid without involving oxidation of a ring.
Still, both are correct chemically.
But the question asks: "The correct reaction/reaction sequence..." — so only one correct must be selected.
Between these, (A) is the most straightforward method, starting from bifunctional compound (halide + alcohol).
(D):
This is a methyl ketone \( \text{CH}_3–CO– \) structure
Upon oxidation with H\(_2\)CrO\(_4\) (a strong oxidizing agent), side chains are oxidized, but this structure won't form a dicarboxylic acid.
Not forming a stable dicarboxylic acid.
% Final Analysis:
- (A) → Succinic acid (dicarboxylic)
- (B) → Gluconic acid ( mono)
- (C) → Adipic acid (dicarboxylic)
- (D) → Not dicarboxylic ()
Since (A) is the most direct and predictable route, it is preferred.