In a dice, each face is numbered as follows:
1) 2 is opposite to 6
2) 3 is opposite to 5
3) 4 is opposite to 1
Which of the following is definitely false?
A) 4 is not adjacent to 3 and 5
B) 4 is adjacent to 5
C) 4 is adjacent to 6
D) 4 is adjacent to 3
Dice Opposite Faces Analysis
The problem describes the pairs of opposite faces on a standard six-sided die.
- The face opposite to 2 is 6.
- The face opposite to 3 is 5.
- The face opposite to 4 is 1.
This means the pairs of opposite faces are (2, 6), (3, 5), and (1, 4).
Identifying Adjacent Faces for Number 4
A standard die has 6 faces. The faces adjacent to any given face are all the other faces except the one opposite to it.
For face 4, the opposite face is 1.
Therefore, the faces adjacent to face 4 are all the remaining faces: 2, 3, 5, and 6.
Evaluating the Options
We need to find the statement that is definitely false. Let's examine each option:
- Option A: 4 is not adjacent to 3 and 5
Based on our analysis, 4 *is* adjacent to both 3 and 5. This statement claims the opposite, making it definitely false. - Option B: 4 is adjacent to 5
Since 5 is not opposite to 4 (only 1 is), 5 must be adjacent to 4. This statement is true. - Option C: 4 is adjacent to 6
Since 6 is not opposite to 4 (only 1 is), 6 must be adjacent to 4. This statement is true. - Option D: 4 is adjacent to 3
Since 3 is not opposite to 4 (only 1 is), 3 must be adjacent to 4. This statement is true.
Conclusion on False Statement
The only statement that contradicts the established adjacency rules for face 4 is Option A.
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?
