Step 1: Analyzing the reaction sequence.
In the given reaction sequence:
- The reaction with \( Br_2 \) in the presence of \( AlBr_3 \) is a bromination reaction, producing compound \( A \).
- The subsequent reaction with \( HCl \) suggests that the compound undergoes electrophilic substitution.
- The reaction with \( NaNO_2 \) and \( HCl \) leads to a diazonium salt intermediate.
- The reaction with \( KMnO_4/KOH \) indicates oxidation, which converts \( A \) to a carboxylic acid group.
Step 2: Identifying compounds.
- \( A \) is ethyl benzene, and after oxidation, the compound converts into a carboxylic acid, which is \( E \).
Step 3: Conclusion.
Therefore, \( A = C_2H_5 \) and \( E = COOH \).
Final Answer: (A) and (E)