Cubes and Dice problems
- 1. Which number will appear at the bottom face in last cube?
Options- A. 3
- B. 4
- C. 6
- D. 1 Also asked in: GRE, GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk
Correct Answer: 6
Explanation:
As per the given pattern in question figure , we can find the similar next position of given dice .
1, 2, 3 and 5 are adjacent to 4.
So 6 will be opposite to 4.
- 2. A solid cube is made using 64 small cubes. In how many small cubes two sides are seen?
Options- A. 24
- B. 32
- C. 40
- D. 42 Discuss
Correct Answer: 24
Explanation:
On the basis of given all above information , we can say that
A solid cube is made using 64 small cubes.In 24 small cubes two sides would be seen.
- 3. In a solid cube made up of 27 small cubes, two opposite sides are painted red, two opposite sides yellow and two other sides white. How many small cubes have the colors yellow and white alone in them?
Options- A. 4
- B. 8
- C. 12
- D. 16 Discuss
Correct Answer: 4
Explanation:
On the basis of above given question , we can say that
The cubes of middle row will have no red colour ? 9 Cubes
The Central cube will have no colour
Now, out of 8 cubes, 4 cubes have either yellow or white colour.
- 4. A solid cube of 4 inches has been painted red, green and black on pairs of opposite faces. It has been cut into one inch cubes. How many cubes have only 3 faces painted?
Options- A. 4
- B. 8
- C. 12
- D. 16 Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO, Database Administrator, IT Trainer
Correct Answer: 8
Explanation:
As per the given all information in above question , we get
In layers I and IV four cubes each at the four corners will have three faces painted.
Hence , required answer will be option B .
- 5. 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 Red and Green faces?
Options- A. 4
- B. 8
- C. 16
- D. 24 Discuss
Correct Answer: 16
Explanation:
On the basis of given all information in above question , we get
There are 4 + 4 = 8 cubes in layer ?1 and 4 + 4 = 8 cubes in Layer ? 4 which have one face painted green and one face painted red.
Thus there are 16 such cubes.
- 6. 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 one face painted?
Options- A. 4
- B. 8
- C. 16
- D. 24 Discuss
Correct Answer: 24
Explanation:
As per the given all information in question , we can say that
In Layers 1 and 4 the four cubes each in the centre have only one face painted. In Layers 2 and 3, eight cubes each in the centre have one face painted .
Thus, total number of cubes = 8 + 16 = 24
- 7. How many cubes are there in this figure?
Options- A. 69
- B. 180
- C. 144
- D. 84 Discuss
Correct Answer: 144
Explanation:
As per the given in above question figure , we can see that
Total number of cubes = 6 × 6 × 4 = 144.
- 8. Three views of the same cube are given. All the faces of the cube are numbered from 1 to 6. Select one figure which will result when the cube is unfolded.
Options- A. 1
- B. 2
- C. 3
- D. 4 Discuss
Correct Answer: 4
Explanation:
As per the given pattern in question figure , we can find the similar next position of given dice .
If we fold the option (1) the number 2 will lie opposite 5.
If we fold the option (2) the number 1 will lie opposite 3.
If we fold the option (3) the number 2 will lie opposite 5.
Therefore, Answer Figure (4) is correct.
- 9. How many cubes are there in the group?
Options- A. 20
- B. 10
- C. 16
- D. 18 Discuss
Correct Answer: 20
Explanation:
On the basis of the given all information in above question , we can say that
10 cubes are visible and 10 cubes are hidden.
Clearly, there is one column having four cubes.
There are two columns each having three cubes.
There are three columns, each having two cubes.
There are four columns, each having only one cube.
Thus, total number of cubes = 4 + 6 + 6 + 4 = 20 cubes
- 10. Few cubes are arranged as shown in the figure. How many cubes are unseen?
Options- A. 8
- B. 10
- C. 12
- D. 14 Discuss
Correct Answer: 10
Explanation:
On the basis of the following given dice, we can say that
Three cubes each in the column I and column II from the left are not seen.
Similarly, two cubes each in column III and IV are not seen.
Total number of unseen cubes = 3 + 3 + 2 + 2 = 10
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