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Cube and Cuboid - Verbal and Reasoning

Directions to SolveThe following questions are based on the information given below:All the opposite faces of a big cube are coloured with red, black and green colours. After that is cut into 64 small equal cubes.
Q1:

How many small cubes are there whose at the most two faces are coloured ?

A 48

B 56

C 28

D 24

ANS:B - 56

Number of small cubes having two faces coloured = 8 + 8 + 4 + 4 = 24 and Number of small cubes having only one face coloured = 4 x 6 = 24 and Number of small cubes having no face coloured = 4 + 4 = 8 Therefore, total number of small cubes whose at the most two faces are coloured = 24 + 24 + 8 = 56.