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### Reactivity of 1-bromo-4-tert-butylcyclohexane isomers with methanol

You are right on the part of E2, 2 will react slower. The reactivity of SN1 follows the same order - the carbocations are same but in 1 due to $\ce{Br}$ being on the axial position, the $\ce{C-Br}$ ...