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A solid cube is painted yellow, blue and black such that opposite faces are of same color. The cube is then cut into 36 cubes of two different sizes such that 32 cubes are small and the other four cubes are big. None of faces of the bigger cubes is painted blue. How many cubes have only one face painted?

(a) 4
(b) 6
(c) 8
(d) 10