question_answer

Directions: A wooden cube is painted blue on all the four adjoining sides and green on two opposite sides i.e., top and bottom. It is then cut at equal distances at right angles two times vertically (top and bottom) and two times horizontally (along the sides) as shown in the figure where the dotted lines represent the cuts made. Study the diagram and answer the following question.                 How many cubes will have only one face painted in Green?

A)  1                            

B)         2

C)  3                            

D)         4

Correct Answer: B

Solution :

The figure may be analyzed by dividing it into the three horizontal layers: In the top layer; the central cube has only one face painted green, the four cubes at the corner have three faces painted - one face green and two faces blue. The remaining four cubes have two faces painted - one green and one blue. In the middle layer, the central cube has no face painted, four cubes at the corners have two faces painted blue and the remaining four cubes have one face painted blue. There is one (central) cube in the top layer and one (central) cube in the bottom layer which have one face painted only in Green. There is no such layer in the middle cube.