Cubes and Dice Questions Non Verbal Reasoning Quiz
Construction of Boxes:
The details of the cube formed when a sheet is folded to form a box:
| Form I |
In this case: 1 lies opposite 5; 2 lies opposite 4; 3 lies opposite 6. |
| Form II |
In this case: 1 lies opposite 6; 2 lies opposite 4; 3 lies opposite 5. |
| Form III |
In this case: 1 lies opposite 4; 2 lies opposite 6; 3 lies opposite 5. |
| Form IV |
In this case: 1 lies opposite 4; 2 lies opposite 5; 3 lies opposite 6. |
| Form V |
In this case: 1 lies opposite 3; 2 lies opposite 5; 4 lies opposite 6. |
| Form VI |
In this case:
will be the one of the faces of the cube and it lies opposite 3; 2 lies opposite 4; 1 lies opposite 5. |
| Form VII |
In this case: will be the one of the faces of the cube and it lies opposite 3; 2 lies opposite 4; 1 lies opposite 5. |
| Form VIII |
In this case: and
are two faces of the cube that lie opposite to each other. 1 lies opposite 3; 2 lies opposite 4; |
Q1. Choose the box that is similar to the box formed from the given sheet of paper (X).
A. 1,2
B. 2,4
C. 2,3
D. 4,1
Answer: Option C
Explanation:
The fig. (X) is similar to the Form VI. So, when a cube is formed by folding the sheet shown in fig. (X), then
Q2. Choose the box that is similar to the box formed from the given sheet of paper (X).
A. 1,4
B. 2,4
C. 3,2
D. 1,3
Answer: Option A
Explanation:
The fig. (X) is similar to the Form I. So, when the sheet shown in fig. (X) is folded to form a cube then one of the two half-shaded faces lies opposite to one of the blank faces and the other half-shaded face lies opposite to another blank face. The two remaining blank faces lie opposite to each other. Thus, both the cubes shown in figures (1).and (4) can be formed when the sheet shown in fig. (X) is folded. Also, though the cubes shown in figures (2) and (3) have faces that can appear adjacent to each other but the cube formed by folding the sheet in fig. (X) cannot be rotated to form either of the two. Hence, the cubes in figures (2) and (3) cannot be formed.
Q3. How many dots lie opposite to the face having three dots, when the given figure is folded to form a cube?
A. 2
B. 4
C. 5
D. 6
Answer: Option D
Explanation:
The given figure is similar to Form V. Therefore, when this figure is folded to form a cube then the face bearing six dots will lie opposite the face bearing three dots.
Q4. Choose the box that is similar to the box formed from the given sheet of paper (X).
A. 1,3
B. 3,2
C. 2,4
D. 1,4
Answer: Option A
Explanation:
The fig. (X) is similar to Form II. So, when the sheet shown in fig. (X) is folded to form a cube then the two half-shaded faces lie opposite to each other, the face bearing a circle lies opposite to one of the two blank faces and the two remaining blank faces lie opposite to each other. Therefore, the cubes shown in fig. (4) which has the two half-shaded faces adjacent to each other, cannot be formed by folding the sheet shown in fig. (X). Also, the cube shown in fig. (2) has the face bearing a circle adjacent to two blank faces. This is not possible since there is one blank face opposite to the circle and one blank face opposite to the third blank face. Hence, only the cubes in figures (1) and (3) can be formed.
Q5. Choose the box that is similar to the box formed from the given sheet of paper (X).
A. 2,3
B. 3,4
C. 1,2
D. 1,2,3 & 4
Answer: Option D
Explanation:
The fig. (X) is similar to Form II. So, when a cube is formed by folding the sheet shown in fig. (X), then the two half-shaded faces lie opposite to each other and one. of the three blank faces appears opposite to the face bearing a dot. Clearly, each one of the four cubes shown in figures (1), (2), (3) and (4) can be formed by folding the sheet shown in fig. (X).
Q6. Choose the box that is similar to the box formed from the given sheet of paper (X).
A. 1
B. 1,3
C. 1,3 & 4
D. 1,2,3, & 4
Answer: Option C
Explanation:
When the sheet in fig. (X) is folded, then one of the faces of the cube formed will be of the form
Q7. Choose the box that is similar to the box formed from the given sheet of paper (X).
A. 1
B. 2
C. 1,3
D. 1,2,3 & 4
Answer: Option B
Explanation:
The fig. (X) is similar to the Form III. So, when the sheet in fig. (X) is folded to form a cube, then ‘F’ appears opposite ‘B’, ‘E’ appears opposite ‘C’ and ‘A’ appears opposite ‘D’ Therefore, the cube in fig. (1) which shows ‘F’ adjacent to ‘B’ the cube in fig. (3) which shows ‘E’ adjacent to ‘C’ and the cube in fig. (4) which shows ‘A’ adjacent to ‘D’ cannot be formed. Hence, only the cube in fig.(2) can be formed.
Q8. Choose the box that is similar to the box formed from the given sheet of paper (X).
A. 1 Only
B. 2 Only
C. 3 Only
D. 4 Only
Answer: Option B
Explanation:
The fig. (X) is similar to the Form III. So, when the sheet in fig. (X) is folded to form a cube, then the half-shaded face appears opposite to the face bearing a rhombus, the face with a black circle appears opposite to one of the two blank faces and the face with a ‘+’ sign appears opposite to the other blank face. Clearly, the cubes shown in figures (1) and (4) cannot be formed since they have the half-shaded face adjacent to the face bearing the rhombus. Also, though the cube shown in fig. (3) has faces that can appear adjacent to each other but the cube formed by folding the sheet in fig. (X) cannot be rotated to form fig. (3). Hence, the cube in fig. (3) cannot be formed. Thus, only the cube shown in fig. (2) can be formed.
Q9. Choose the box that is similar to the box formed from the given sheet of paper (X).
A. 1 Only
B. 2 Only
C. 3 Only
D. 4 Only
Answer: Option A
Explanation:
The fig. (X) is similar to the Form II. So, when the sheet shown in fig. (X) is folded to form a cube then the two half-shaded faces lie opposite to each other, the face bearing a square lies opposite to one of the two blank faces and the face bearing a circle lies opposite to the other blank face. Therefore, the cubes shown in figures (2) and (3) which have the two half-shaded faces adjacent to each other, cannot be formed by folding the sheet shown in fig. (X). Also, though the cube shown in fig. (4) has faces that can appear adjacent to each other but the cube formed by folding the sheet in fig. (X) cannot be rotated to form the cube in fig. (4). Hence, only the cube in fig. (1) can be formed.
Q10. Choose the box that is similar to the box formed from the given sheet of paper (X).
A. 1
B. 1,3 & 4
C. 1,3
D. 2,1
Answer: Option B
Explanation:
The fig. (X) is similar to the Form V. So, when the sheet in fig. (X) is folded to form a cube, then the face bearing a dot lies opposite to one of the shaded faces. Therefore, the cube shown in fig. (2) which has both the shaded faces adjacent to the face bearing the dot, cannot be formed. Hence, the cubes shown in figures (1), (2) and (4) can be formed.