Step 1: Identify \(X\).
\(\text{C}_2\text{H}_5\text{I}\) with alcoholic KOH undergoes dehydrohalogenation (elimination) to form ethene:
\[
\text{C}_2\text{H}_5\text{I} \xrightarrow{\text{alc. KOH}} \text{CH}_2=\text{CH}_2 \ (X)
\]
Step 2: Identify \(Y\).
Ethene adds bromine in presence of \(CCl_4\) to form 1,2-dibromoethane:
\[
\text{CH}_2=\text{CH}_2 \xrightarrow{\text{Br}_2/CCl_4} \text{BrCH}_2-\text{CH}_2\text{Br} \ (Y)
\]
Step 3: Identify \(Z\).
1,2-dibromoethane reacts with KCN and both bromines are replaced by CN groups, giving dicyanoethane:
\[
\text{BrCH}_2-\text{CH}_2\text{Br} \xrightarrow{\text{KCN}} \text{NCCH}_2-\text{CH}_2\text{CN} \ (Z)
\]
Step 4: Final hydrolysis to acid \(A\).
On acidic hydrolysis, both \(-CN\) groups convert to \(-COOH\):
\[
\text{NCCH}_2-\text{CH}_2\text{CN} \xrightarrow{H_3O^+} \text{HOOC-CH}_2-\text{CH}_2-\text{COOH}
\]
This is succinic acid.
Final Answer:
\[
\boxed{\text{succinic acid}}
\]