A solid cube is painted yellow, blue and black such that opposite faces are of same colour. 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 the faces of the bigger cubes is painted blue. How many cubes have only one face painted?

Answer is (c).According to the condition described in the question, the cube can be divided as depicted below. For simplicity, let’s assume the side of the original cube to be 12 units. Thus, the new structure appears as shown in the image. The desired cubes, marked with “R,” total to 8 cubes, with 4 on each side having only one face painted.