The correct option is C bluer than
When two nouns are compared to one another, the sentence is in the comparative degree of comparison.
As mentioned in the question, an adjective of the comparative degree must fill in the blank.
Option C: 'Bluer' is an adjective in the comparative degree. Also, 'than' indicates comparison.
Together, the phrase 'bluer than' is in the comparative degree. Hence option C is correct.
Option A is incorrect because the adjective 'blue' on its own does not indicate any comparison.
Option B is incorrect because 'as blue as' is in the positive degree of comparison.
Option D is incorrect because 'the bluest' is in the comparative degree of comparison.