Answer: C. C is correct. Lower pKb means stronger base. Basicity order (decreasing): (CH₃)₂NH > CH₃NH₂ > (CH₃)₃N > C₆H₅NHCH₃. So increasing pKb: (i) < (ii) < (iii) < (iv). N-methylaniline (iv) is weakest because the nitrogen lone pair still delocalises into the ring despite one methyl group.
Why A is wrong: A is wrong — it places trimethylamine as the strongest base (lowest pKb), applying the gas-phase order to aqueous solution (trap: gas-phase vs aqueous basicity).
Why B is wrong: B is wrong — this reverses the entire order, placing the aromatic amine as strongest base (lowest pKb), which contradicts the principle that lone-pair delocalisation into the ring reduces basicity.
Why D is wrong: D is wrong — it places trimethylamine between dimethylamine and methylamine in pKb, which does not match aqueous data where 2° > 1° > 3°.