Question : Directions: Three different positions of the same dice are shown. Find the number on the face opposite the face showing 5.
Option 1: 2
Option 2: 3
Option 3: 4
Option 4: 1
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Correct Answer: 1
Solution :
According to the dice rule, if two or three positions of the same dice are given with two common faces but in different orientations, then out of those two common faces the faces that are not common are opposite to each other.
In Figures 1 and 2, two faces 5 and 6 are common. So, the remaining numbers are 4 and 3. So, 4 and 3 are the opposite faces of each other in the given dice.
In Figures 1 and 3, two faces 5 and 3 are common. So, the remaining numbers are 2 and 6. So, 2 and 6 are the opposite faces of each other in the given dice.
The remaining numbers after the above consideration are 1 and 5, so they are the opposite faces of each other.
So, the opposite faces of the dice are as follows –
So, the face opposite the face showing 5 is 1. Hence, the fourth option is correct.
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