If they are in series (and are designed to operate in series) they all must have the same current.
P=VI
V=P/I
which means that the 10W bulb should have the least voltage
and as R=V/I it also means it will have the least resistance.
Where do you get the idea that it should be the highest value of V and R?
However, I suspect this is part of a longer question where these bulbs have been connected in parallel, maybe? Or where their voltage rating has been given.
In which case, your question is only half of the problem.
In order to answer it fully, you need to say what voltage rating the bulbs have for full power operation.
If they all operate at the same voltage for nominal power, then the 10W bulb does have a higher resistance than the other two. So, it depends.
Maybe you could explain the full problem?