There are certain dice rules in reasoning which can be sued to solve dice-based questions:
Rule No. 1:
Two opposite faces of the dice cannot be adjacent to each other.
E.g. Two positions of a dice are shown below.
Here, faces with number 4, 3, 6 and 1 are adjacent to the face number 2.
Therefore, the 4,3,6,1 can’t be opposite to the face number 2.
Therefore, face number 5 is opposite to the face number 2.
Rule No. 2:
If two dice are shown as below, and one of the two common faces (Face number 4) is in the same position, then the remaining faces will be opposite to each other.
E.g.: Two dice are shown below
In both the diagrams, two faces numbered 1 & 3 are common.
Also, 5 & 6 are remaining faces. Hence, face which is number 5 is opposite to the face number 6.
Rule No. 3:
If in 2 different positions of the dice, the positions (different), the position of the face that’s common is the same, and then the opposite faces of the faces that remain will be in the same positions.
E.g.:
In both the positions, face number 1 is common for both dice is same.
Therefore, the opposite of 4 is 2 and the opposite of 5 is 6.
Rule No. 4:
If 2 positions of a die are given (Different) and it is also stated that common face is different then the face opposite to the given common face would be that which is not shown on any given face in the 2 given positions. It is also to be noted that the opposite face of the faces that are left cannot be the same.
E.g.:
Note, in the above shown dice, the face having value 6 is not in the similar position.
The face numbered 1 is not shown.
So, the face opposite to the face with number 6 is 1.
Also, the opposite face of 3 is the face with number 2 and the opposite to face numbered 5 is the face with number 1.
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