I agree with phth on this one in that both products are possible. I also agree this question can be ambiguous. In addition, I have been of the opinion the factors in these types of questions may not be completely understood. You may find different results for NaOEt/EtOH reactions versus KOtBu/toluene reactions. I generally find NaOEt/EtOH examples give the Zaitsev products. I think these reactions have additional SN1 character to them in which the proton lost is from the more substituted (electron rich) carbon. That would lead to product A.
Although this example is not suited to formation of a more kinetic-like product, but I think if 1-chloro-1-methylcyclohexane were treated with KOBu, the major product would be methylenecyclohexane. I reason the greater acidity of a methyl group plays the major role in the product formation. That is different than the example given here, but are generally considered together in E2-eliminations.