Cubes and Dice problems
- 1. 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:
(a) satisfies all the conditions of dice formation or constructions.
- 2. Among the four alternatives which one cannot be the similar box as the question figure.
Options- A. (a)
- B. (b)
- C. (c)
- D. (d) Discuss
Correct Answer: (c)
Explanation:
in option (c) 2 and 5 are adjacent to the whiter portion side of the half shaded face, but in the option 2 is attached with the darker side, which cannot be possible.
- 3. Among the four alternatives which are cannot be the similar box as the question figure.
Options- A. Only (i)
- B. Only (ii)
- C. (ii) and (iii) only
- D. (ii) , (iii) and (iv) only Discuss
Correct Answer: (ii) and (iii) only
Explanation:
b and c cannot satisfies the conditions of dice formation, as option (b) B cannot be adjacent to D and in option (c) two white faces cannot be adjacent to each other.
- 4. A dice is thrown four times and its four different positions are given below. Find the number on the face opposite the face showing 2.
Options- A. 4
- B. 5
- C. 6
- D. 3 Discuss
Correct Answer: 5
Explanation:
As per the given pattern in question figure , we can find the similar next position of given dice .
The numbers 1, 3, 4 and 6 lie on the faces adjacent to the number 2.
Therefore, the number 5 lies on the face opposite to the number 2.
- 5. Three positions of a dice are given. Find out which number is found opposite the number 2 in the given cube.
Options- A. 6
- B. 5
- C. 3
- D. 1 Discuss
Correct Answer: 6
Explanation:
As per the given pattern in question figure , we can find the similar next position of given dice.
The numbers 1, 3, 4 and 5 are on the adjacent faces of number 6.
Therefore, 2 lies opposite 6.
- 6. If the difference between the no. of dots on the opposite faces is 3, find out the figure which is correct?
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 .
Answer Figure (4) shows the number of dots on its faces like a standard dice.
So, in this dice the difference between the numbers of dots on opposite faces may be 3.
- 7. Four positions of a dice are given below. Identify the number at the bottom when top is 1.
Options- A. 6
- B. 3
- C. 2
- D. 5 Discuss
Correct Answer: 2
Explanation:
As per the given pattern in question figure , we can find the similar next position of given dice .
The numbers 3, 4, 5 and 6 are on the faces adjacent to the number 1.
So, 2 lies opposite 1.
- 8. Two positions of a dice are shown below. When three is at the top what number will be at the bottom?
Options- A. 2
- B. 1
- C. 4
- D. 5 Discuss
Correct Answer: 5
Explanation:
As per the given pattern in question figure , we can find the similar next position of given dice .
Six dots are on the face adjacent to one dot, three dots, four dots and five dots.
So, two dots lie opposite six dots.
If we rotate the first dice downward two times, we get the second dice.
So, five dots lie opposite three dots.
- 9. In the diagrams below, faces of dice are shown from two different directions. Which number will be opposite to 4?
Options- A. 2
- B. 3
- C. 1
- D. 5 Discuss
Correct Answer: 2
Explanation:
As per the given pattern in question figure , we can find the similar next position of given dice .
It is clear from the two views of the same dice that from first figure to second figure, the dice has been rotated downward.
Therefore, the number 2 lies opposite the number 4.
- 10. Which color is opposite to yellow?
Options- A. Violet
- B. Red
- C. Purple
- D. Blue Discuss
Correct Answer: Violet
Explanation:
On the basis of following pattern in given dices , we can say that
Orange, Blue and Red are on the adjacent faces of yellow color.
Again, Blue, Orange, Red and Purple colors are on the adjacent faces of violet color.
Therefore, violet color will be on the face opposite to yellow color.
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