Answer: D. D is correct. In the Hinsberg test, a secondary amine forms N,N-dialkylbenzenesulfonamide that has no acidic N–H, so it is insoluble in NaOH. A primary amine's product would dissolve in NaOH, and a tertiary amine would not react at all (NCERT Class 12 Chemistry Chapter 9, Part 2, page 270).
Why A is wrong: A is wrong because a primary amine's sulfonamide retains an N–H bond and dissolves in NaOH — the opposite of what is observed here.
Why B is wrong: B is wrong because a tertiary amine does not react with benzenesulfonyl chloride at all, so no sulfonamide product would form.
Why C is wrong: C is wrong because the Hinsberg test is designed to distinguish all three classes: NaOH-soluble product = 1°, NaOH-insoluble product = 2°, no reaction = 3°.