Step 1: Methyl orange is prepared by an azo-coupling reaction. Its structure has a sulphonate group on one benzene ring and a dimethylamino group on the other ring, connected through an azo (\(-N=N-\)) linkage.
Step 2: \(NaNO_2 + HCl\) at low temperature converts a primary aromatic amine, \(Ar-NH_2\), into its diazonium salt through diazotization.
Step 3: For "A" to give the diazonium salt required for methyl orange, "A" must already carry both a primary aromatic \(-NH_2\) group and a \(-SO_3H\) group on the same benzene ring.
Step 4: The compound with exactly this combination is sulphanilic acid, para-aminobenzenesulphonic acid, \(H_2N-C_6H_4-SO_3H\).
Step 5: Diazotizing sulphanilic acid and coupling with N,N-dimethylaniline forms methyl orange.
Benzoic acid, salicylic acid, and picric acid have no free primary aromatic amine group, ruling them out.
\[\boxed{\text{A = Sulphanilic acid}}\]