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(B) $I$ is a primary benzylic halide,which is highly reactive towards both $S_{N}1$ (due to resonance-stabilized carbocation) and $S_{N}2$ (due to low

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$A, B$

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(B) $I$ is a primary benzylic halide,which is highly reactive towards both $S_{N}1$ (due to resonance-stabilized carbocation) and $S_{N}2$ (due to low steric hindrance).$II$ is a primary alkyl halide,which primarily follows $S_{N}2$ mechanism.$III$ is a tertiary alkyl halide,which follows $S_{N}1$ mechanism due to the formation of a stable tertiary carbocation.$IV$ is a secondary benzylic halide,which follows $S_{N}1$ mechanism primarily.Analysis of statements:$A$. $I$ (benzylic) and $III$ (tertiary) can both undergo $S_{N}1$ reactions. This is correct.$B$. $I$ (primary benzylic) and $II$ (primary alkyl) are both primary halides and are highly reactive towards $S_{N}2$. This is correct.$C$. $IV$ is a chiral secondary halide. In $S_{N}2$ conditions,it would undergo inversion,but it typically reacts via $S_{N}1$ (racemization). However,if forced to undergo $S_{N}2$,it would show inversion. Given the context of standard questions,$C$ is considered correct as a property of $S_{N}2$ pathways.$D$. Reactivity order for $S_{N}1$ is $IV > I > III$ is incorrect; the order is $IV > III > I$ or similar depending on conditions. Thus,$D$ is incorrect.Therefore,$A, B, C$ are correct.

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