Mental AbilityTest - Dice and Cubes

1. A cube is painted yellow on all sides. It is then cut into 64 cubes of equal size. How many of these smaller cubes are painted on one side only?

2. The following figures show the same dice in different positions. How many dots are contained on the face opposite to that containing four dots?

    

3. Directions: A cube having volume 216 cm³ is painted red on two opposite sides, black on other two opposite sides, and green on the remaining two sides. It is then cut into cubes with sides of one cm each. Answer the following question based on the above statement.

   How many cubes have no side painted?

4. Directions: A cube having volume 216 cm³ is painted red on two opposite sides, black on other two opposite sides, and green on the remaining two sides. It is then cut into cubes with sides of one cm each. Answer the following question based on the above statement.

   How many cubes have just one side painted?

5. Directions: A cube having volume 216 cm³ is painted red on two opposite sides, black on other two opposite sides, and green on the remaining two sides. It is then cut into cubes with sides of one cm each. Answer the following question based on the above statement.

   How many cubes have three sides painted?

6. Directions: A cube having volume 216 cm³ is painted red on two opposite sides, black on other two opposite sides, and green on the remaining two sides. It is then cut into cubes with sides of one cm each. Answer the following question based on the above statement.

   How many cubes have only two or three sides painted?

7. Directions: A cube having volume 216 cm³ is painted red on two opposite sides, black on other two opposite sides, and green on the remaining two sides. It is then cut into cubes with sides of one cm each. Answer the following question based on the above statement.

   How many cubes have one side black?

8. In a dice, a, b, c, and d are written on the adjacent faces in a clockwise order and e and f are at the top and bottom of the cube. When c is at the top, what will be at the bottom?

9. Directions: Study the three different positions of a cube given below and answer the question.

   

   Which number appears on the face opposite to the one having a 2?

10. Directions: Study the three different positions of a cube given below and answer the question.

    

    The number on the face opposite to the face having a 6 is