Step 1: Link reactivity to carbocation stability.
Because the slow (rate-determining) step of \(S_N1\) is loss of the halide to form a carbocation, the more stabilised the resulting cation, the faster the reaction.
Step 2: Rank the cations.
A forms a tertiary cation (very stable). D forms a secondary cation. B forms an ordinary primary cation (least stable). C is nominally primary but rearranges by a methyl/hydride shift toward a tertiary cation, so it beats B.
Step 3: Write the increasing sequence.
Weakest first: \(B < C < D < A\), matching option (ii).
\[\boxed{B < C < D < A}\]