question_answer

Directions: A cube is cut in two equal parts along a plane parallel to one of its faces. One piece is then colored red on the two larger faces and green on the remaining, while the other is colored green on two smaller adjacent faces and red on the remaining. Each is then cut into 32 cubes of same size and mixed up.

Now answer the following questions based on the above statement.

How many cubes have one red face each?

A)  28                         

B)         32

C)  0                            

D)         50

Correct Answer: D

Solution :

Number of red faces in \[\text{I}=\text{32}\] (Top & bottom i.e., \[\text{2}\times \text{16}\]) Number of red faces in \[\text{II}=\text{18}\] (Top & bottom 4 central faces \[+\text{2}\times \text{5}\] blocks which have Green on the other face) Total = 50.