You are showing the likely first step of the mechanism. Probably, the person who wrote the question is thinking "aldol reaction". The outcomes seem a little ambiguous with no temperature written, especially for the second one because Aldol addition isn't favored at equilibrium when the ketone is the electrophile. Aldol can give two possible products, and the outcome sometimes depends on temperature. But long story short if you think Aldol, you will probably have some reasonable possible answers.