Answer: A. A is correct. Rank by the STRONGEST stabilising effect each cation has: benzyl (IV) and allyl (II) both delocalise the charge by resonance, and resonance outranks hyperconjugation, so both sit above the tert-butyl cation (I) whose 9 α-H hyperconjugation and +I are all it has. Benzyl beats allyl because the ring supplies more contributing structures. Secondary (III) is last. Order: C₆H₅CH₂⁺ > CH₂=CH–CH₂⁺ > (CH₃)₃C⁺ > (CH₃)₂CH⁺. This resonance-first order is the one NEET keys use; NCERT's own carbocation order covers only methyl, primary, secondary and tertiary (NCERT Class 11 Chemistry, Chapter 8, page 271).
Why B is wrong: B is wrong because it places tertiary (I) above benzyl (IV). Benzyl carbocation's aromatic resonance delocalises charge over multiple ring carbons, providing greater stabilisation than hyperconjugation alone.
Why C is wrong: C is wrong because it places secondary (III) above benzyl (IV) and allyl (II) last. Both resonance-stabilised cations are more stable than a secondary carbocation that relies only on hyperconjugation.
Why D is wrong: D is wrong because it puts the tert-butyl cation above allyl. On the resonance-first ordering this stem asks for, a resonance-delocalised cation always outranks one held up by hyperconjugation alone — so allyl comes before 3°.