Is the sentence "Bob likes eggs." objective or subjective?
To flesh it out a bit, I'm using "likes" in the usual sense when applied to food; some combination of finding the food pleasing to eat, relatively preferrable to some other (disliked) foods etc. Note that this is more about the sensual/emotional reaction to the food than an intellectual one, as might occur if Bob consciously values eggs' nutritional value.
"Liking" seems like a paragon of subjective assessments, and it is pretty clear that Bob's experience of this sentiment would be properly considered subjective.
However, for me, as a separate agent, it seems like Bob's attitudinal state is just another feature of the outside world. In particular it is independent of my subjectivity. If we're willing to make an assumption that Bob's behaviour is related to his attitude towards eggs, we can devise empirical tests (e.g. having him rank food items) to assess whether in fact he "likes" eggs.
Also note that there is an edge case where even Bob himself need not realize his attitudinal state: he can feel that eggs are disgusting, and be repulsed at the idea of consuming them; but when fed an egg-dish without him realizing that it is, in fact made (mostly) of eggs, he likes it. (This happened in my presence where the person "didn't like" yogurt, except in the case where he thought is was a type of sour cream.)