Cubes and Dice problems
- 1. A solid cube of 4 inches has been painted Red, Green and Black on pair of opposite faces. It has then been cut into one inch cubes. How many cubes have only four faces painted?
Options- A. 0
- B. 4
- C. 8
- D. 16 Discuss
Correct Answer: 0
Explanation:
On the basis of the given all information in above question , we can say that
A solid cube of 4 inches has been painted Red, Green and Black on pair of opposite faces. No cube will have four faces painted.
- 2. A solid cube of 4 inches has been painted red, green and black on pair of opposite faces. It has been cut into one inch cubes. How many cubes have only two faces painted?
Options- A. 8
- B. 16
- C. 24
- D. 32 Discuss
Correct Answer: 24
Explanation:
As per the given all information in above question , we can say that
There are 8 cubes in Layer 1, 4 cubes in Layer 2, 4 cubes in Layer 3, and 8 cubes in Layer 4 which have only two faces painted.
Thus, there are 8 + 4 + 4 + 8 = 24 such cubes.
- 3. How many cubes are there in this diagram?
Options- A. 10
- B. 8
- C. 16
- D. 12 Discuss
Correct Answer: 12
Explanation:
On the basis of above given figure , we can see that
Count the numbers of cubes in given figure = 12
Hence , There are 12 cubes.
- 4. How many cubes are unseen in the figure?
Options- A. 5
- B. 6
- C. 10
- D. 15 Discuss
Correct Answer: 5
Explanation:
From the given above figure , we can count the total numbers of cubes :-
Altogether there are 9 + 5 +1 = 15 cubes.
10 cubes are seen in the figure.
So, five cubes are unseen in the figure.
- 5. Which of the following cubes can be created by folding the given figure?
Options- A. 1
- B. 2
- C. 3
- D. 4 Also asked in: Bank Exams
Correct Answer: 2
Explanation:
As per the given above open dice , we have
When folded in the form of a cube, then 'F' appears opposite 'B'; 'E' appears opposite 'C' and 'A' appears opposite 'D'.
In option (1) 'F' is adjacent to 'B'.
In option (3) 'E' is adjacent to 'C'.
In option (4) 'D' is adjacent to 'A'.
- 6. Study the 3 different positions of a cube given below and answer what number comes opposite to 2?
Options- A. 4
- B. 5
- C. 3
- D. 1 Discuss
Correct Answer: 5
Explanation:
On the basis of following pattern in given dices , we can say that
The numbers 2, 4, 5 and 6 are on the adjacent faces of number 3.
So, number 1 lies opposite 3.
The number 5 is on the adjacent faces of numbers 4 and 6.
So, number 5 lies opposite 2.
- 7. The sides of a cube show the colours of rainbow. Two positions of the cube are shown below. Which of the colours of rainbow is left out?
Options- A. Yellow
- B. Green
- C. Violet
- D. Indigo Discuss
Correct Answer: Violet
Explanation:
As per the given pattern in question figure , we can find the similar next position of given dice .
The seven colours of a Rainbow are: Violet, Indigo, Blue, Green, Yellow, Orange and Red.
Thus, Violet colour of rainbow is left out.
- 8. Choose the cube that will be formed by folding the sheet of paper shown in the problem figure.
Options- A. 1
- B. 2
- C. 3
- D. 4 Discuss
Correct Answer: 2
Explanation:
We follow the given pattern :-
After folding the sheet of paper in the form of a cube:
? will lie opposite ?
? will lie opposite ?
? will lie opposite ?
Symbols ? and ? cannot be on adjacent faces.
So, Answer Figure (3) can be ruled out.
Symbols ? and ? cannot be on adjacent faces.
So, Answer Figure (4) can be ruled out.
? and ? can not be on adjacent sides.
Hence options (1) is not true.
Hence option (2) is true.
- 9. The solid so formed by joining unit cubes is rotated to obtain different positions, which of these cannot be the shape after it has turned?
Options- A. 1
- B. 2
- C. 3
- D. 4 Discuss
Correct Answer: 3
Explanation:
As per the given pattern in question figure , we can find the similar next position of given dice .
The shape given in the option (3) is not appropriate.
- 10. Which symbol will appear on the face opposite to the face of a circle O in the cube given below?
Options- A. 1
- B. 2
- C. 3
- D. 4 Discuss
Correct Answer: 2
Explanation:
We follow the given pattern :-
Symbols ?, ?, ?
and ? lie on the faces adjacent to the symbol *Omicron;.
Therefore,? lies opposite ?.
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