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The amine that reacts with Hinsberg's reagent to give an alkali insoluble product is:
Detailed Solution
Secondary amines react with benzenesulphonyl chloride to give N,N-dialkylbenzenesulphonamides with no acidic H on N, so they are insoluble in alkali: $[(CH_3)_2CH]_2NH+ClSO_2Ph\rightarrow[(CH_3)_2CH]_2NSO_2Ph+HCl$. Primary amines give alkali-soluble products and tertiary amines do not react.