The correct option is A SN1 and SN2
The nucleophile is not involved in the RDS in SN1 reaction. thus it does not affect the rate of SN1 reaction.
However, a stronger nucleophile may lead to side reactions. So, weak & moderate nucleophiles are preferred.
C2H5OH being a weaker nucleopbile, when used as a solvent in case of hindered 1∘ halide, favours SN1 mechanism while C2H5O− being a strong nucleophile in this reaction favours SN2 mechanism. Hence correct option is a.