Step 1: Identify the chemical reactions involved.
The given reactions involve an azo coupling reaction, where an arylamine (such as \( \text{C}_6\text{H}_5\text{NH}_2 \)) reacts with a compound containing an electrophilic group. The reaction produces a substituted azo compound.
Step 2: Understand the required reactants for the reactions.
- In reaction A, the compound \( [X] \) must contain an electrophilic group capable of undergoing an electrophilic aromatic substitution, such as a carbonyl group (\( \text{CHO} \)).
- The product of reaction A is hydroxyazobenzene, which suggests that \( [Y] \) contains a primary amine group (\( \text{NH}_2 \)).
Step 3: Choose the correct reactants for reactions A and B.
- For reaction A, \( [X] = \text{C}_6\text{H}_5\text{CHO} \) (benzaldehyde), which can undergo a coupling reaction with an amine to form the desired product.
- For reaction B, \( [Y] = \text{C}_6\text{H}_5\text{N} \text{(CH}_3)_2 \) (dimethylaniline), which contains the necessary amino group to react with \( [X] \).
Step 4: Conclusion.
Thus, the correct reactants for the reactions are \( [X] = \text{C}_6\text{H}_5\text{OH} \) and \( [Y] = \text{C}_6\text{H}_5\text{N} \text{(CH}_3)_2 \), corresponding to option (C).