Correct option is (b) 10
Case 1 : All 6 sides black.
Case 2 : 1 side white and 5 side black.
Case 3 : 2 adjacent sides white and other 4 sides black.
Case 4 : 2 opposite sides white and other 4 sides black.
Case 5 : 3 sides with same corner white and other 3 black.
Case 6 : 2 opposite sides and 1 center side white and other 3 black.
Case 7 : 2 adjacent sides black and other 4 sides white.
Case 8 : 2 opposite sides black and other 4 sides white.
Case 9 : 1 side black and 5 sides white.
Case 10 : All sides white.
Hence, the cube can be painted in 10 different ways.
