In a dice, each face is numbered as follows: 1) 2 is adjacent to 3 2) 3 is opposite to 1 3) 5 is opposite to 4 4) 6 is adjacent to 3 Which of the following is definitely true? A) 2 is between 4 and 3 B) 2 is adjacent to 6 C) 3 is between 2 and 6 D) 1 is between 3 and 5
C
Dice Relationships Analysis
We are given the following properties of a dice:
- 1) 2 is adjacent to 3.
- 2) 3 is opposite to 1.
- 3) 5 is opposite to 4.
- 4) 6 is adjacent to 3.
We need to determine which statement is definitely true based on these conditions.
Evaluating the Options
Let's analyze each option:
- A) 2 is between 4 and 3: This means 2 is adjacent to both 4 and 3. We know 2 is adjacent to 3 (given). However, we don't have information relating 2 and 4 directly. 4 is opposite to 5, and 3 is opposite to 1. This doesn't guarantee 2 is adjacent to 4.
- B) 2 is adjacent to 6: We know 2 is adjacent to 3 and 6 is adjacent to 3. This means 2 and 6 are neighbours of 3. However, they could be adjacent to each other (e.g., if they are on adjacent sides of face 3) or not adjacent (e.g., if they are on opposite sides of face 3). This is not definitely true.
- C) 3 is between 2 and 6: This means 3 is adjacent to both 2 and 6. Statement (1) says "2 is adjacent to 3", and statement (4) says "6 is adjacent to 3". Both conditions are directly given, so 3 is definitely adjacent to both 2 and 6. This statement is definitely true.
- D) 1 is between 3 and 5: This means 1 is adjacent to both 3 and 5. Statement (2) explicitly states "3 is opposite to 1". Opposite faces cannot be adjacent. Therefore, this statement is definitely false.
Conclusion
Based on the direct analysis of the given statements, only option C is necessarily true.
Important Questions from Cube and Dice
- In a dice, each face is numbered as follows:
1) U is opposite to Z
2) X is opposite to V
3) Y is opposite to W
Which of the following is definitely false?
A) V is not adjacent to Y and W
B) V is adjacent to U
C) W is adjacent to X
D) Y is adjacent to Z A dice is numbered from 1 to 6. Based on the three images of dice, find out which of the following numbers comes in the place of C.
- In a dice, each face is marked as follows:
1) * is adjacent to ^
2)^ is opposite to #
3) @ is opposite to $
4)! is adjacent to ^
Which of the following is definitely true?
A) * is between $ and ^
B) * is adjacent to !
C) ^ is between * and !
D) # is between ^ and @ In a dice, each face is numbered as follows:
1) 4 is opposite to 2
2) 5 is opposite to 3
3) 1 is opposite to 6
Which of the following is definitely false?
A) 1 is not adjacent to 5 and 3
B) 4 is adjacent to 3
C) 4 is adjacent to 5
D) 2 is adjacent to 1
The dice contains A, B, C, D, E, F on the six faces. Which alphabet is opposite to E?
