Cubes and Dice problems
- 1. Two positions of a block are shown below (i) and (ii). When 2 dots is at the bottom which number of dots will be at the top?
Options- A. 3
- B. 5
- C. 6
- D. cannot be determine Discuss
Correct Answer: 3
Explanation:
Number 1 is common to both the figures (i) and (ii). The dice in fig. (ii) is assumed to be rotated so that 1 dot moves to the top face i.e to the same position as in figure (i) and 2 and 4 dots move to the face behind the faces with 3 and 5 dots respectively. Clearly by combination, 3 dots lie on the face opposite the face having 2 dots. Therefore, when there are 2 dots at the bottom, the number of dots at the top will be 3.
- 2. What number is opposite of 3 in the figure shown below?
Options- A. 2
- B. 4
- C. 5
- D. 6 Discuss
Correct Answer: 5
Explanation:
as 5 is common on both the figure, and 1,2,4 and 6 are adjacent to 5. hence 3 is opposite of 5.
- 3. If the total sum of numbers on opposite faces of a cubical block is always 7, find the figure which is correct.
Options- A. (a)
- B. (b)
- C. (c)
- D. (d) Discuss
Correct Answer: (c)
Explanation:
as per the question, sum of the numbers on opposite sides or faces is always 7. Therefore
1 appears opposite 6,
2 appears opposite 5 and
3 must appears opposite of 4.
In (a) 1 cannot adjacent to 6 In (b) 3 cannot adjacent to 4 In (d) 2 cannot appears adjacent to 5 Hence only option (c) is correct.
For the better understanding take a dice and apply the same steps which is mentioned above.
- 4. Among the four alternatives choose which one can be the similar box as the question figure.
Options- A. (a)
- B. (b)
- C. (c)
- D. (d) Discuss
Correct Answer: (a)
Explanation:
option (a) is clear from the alternatives.
- 5. Among the four alternatives choose which one can be the similar box as the question figure.?
Options- A. (a)
- B. (b)
- C. (c)
- D. (d) Discuss
Correct Answer: (a)
Explanation:
from the alternatives it is very easy to recognize option (a) as it satisfies all the conditions of a dice formation.
- 6. Among the four alternatives choose which can be the similar boxes as the question figure.
Options- A. Only (i)
- B. (i) and (ii) both
- C. (i), (ii) and (iv) only
- D. none of them Discuss
Correct Answer: (i) and (ii) both
Explanation:
(iii) will be eliminated as the separation present on the two faces which is possible and option (iv) as the separation is not on the middle of the face.
- 7. Study the following figures and find out the number opposite to 2.
Options- A. 1
- B. 4
- C. 5
- D. 6 Discuss
Correct Answer: 5
Explanation:
As we can see that ,
The numbers 2, 4, 5 and 6 are on adjacent faces of the number 3.
Therefore, number 1 lies opposite to 3.
The numbers 2, 3 and 5 are on adjacent faces of the number 6.
Therefore, the number 4 lies opposite to 6.
Now, the number 5 lies opposite to 2.
- 8. Four positions of dice are given below. Which letter will be opposite to D?
Options- A. B
- B. C
- C. D
- D. A Discuss
Correct Answer: A
Explanation:
On the basis of question figure pattern ,
The letters A, B, D and E are on the adjacent faces of face C.
Therefore, some other letter lies opposite 'C'.
The letters B, C and E are on the adjacent faces of face D.
Therefore, A lies opposite D.
- 9. Four different positions of dice are as shown below. What number is opposite to face 3?
Options- A. 4
- B. 3
- C. 2
- D. 6 Discuss
Correct Answer: 4
Explanation:
On the basis of following pattern in given dices , we can say that
The numbers 1, 2, 5 and 6 are on the adjacent faces of the number 3.
So, the number 4 lies opposite 3.
- 10. Four positions of a dice are given below. Identify the number at the bottom when the number on the top is 2.
Options- A. 3
- B. 5
- C. 4
- D. 6 Discuss
Correct Answer: 6
Explanation:
On the basis of following pattern in given dices , we can say that
The numbers 1, 3, 4 and 6 are on faces adjacent to number 5.
Therefore, 5 lies opposite 2.
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