Six numbers 1, 2, 3, 4, 5 and 6 are written on different faces of a dice. Three different positions of the same dice are shown. Select the number on the face opposite to the one having 4.
- A5
- B3
- C6
- D1
Solution & Step-by-step Explanation
Let's compare the positions of the dice:
From View 1 (1, 2, 3) and View 2 (1, 3, 5), the common numbers are 1 and 3. Therefore, the remaining faces must be opposite to each other: 2 is opposite to 5.
From View 1 (1, 2, 3) and View 3 (2, 3, 4), the common numbers are 2 and 3. Therefore, the remaining faces must be opposite to each other: 1 is opposite to 4.
Thus, the number opposite to 4 is 1.
From View 1 (1, 2, 3) and View 2 (1, 3, 5), the common numbers are 1 and 3. Therefore, the remaining faces must be opposite to each other: 2 is opposite to 5.
From View 1 (1, 2, 3) and View 3 (2, 3, 4), the common numbers are 2 and 3. Therefore, the remaining faces must be opposite to each other: 1 is opposite to 4.
Thus, the number opposite to 4 is 1.