Solvolysis of alkyl bromide

Which one of the following alkyl bromides would undergo rapid solvolysis in methanol to give corrosponding 

methyl ether 

options

Answer:

Solvolysis in methanol: it would depend on the stability of the carbonium ion, more stable is the carbonium ion more rapid would be solvolysis 
In oprion 1) a primary carbonium ion is formed

The carbonium ion is resonance stabilized 

While in other options the carbonium ions formed are as follows

The the stability of first carbonium ion is greater as it is resonance stabilized so the correct option should be the option 1)