Reasoning Dices

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Dice is also said as Cube.There are 6 faces in the dice as cube has 6 faces.

Some important points about dice are given below

1. There are 6 faces in the dice - ABCG, GCDE, DEFH, BCDH, AGEF and ABHF.
2. Always four faces are adjacent to one face.the adjacent of face GCDE are EDHF , EFAG , GABC , CDHB.
3. Opposite of ABCG is DEFH and so on.
4. CDEG is the upper face of the cube.
5. ABHF is the bottom of the cube.

It consist of four rules to solve the Dice problem. By using that four rules question on dice can easily solve.

Rule No. 1:

Two opposite faces cannot be adjacent to one another.

Example:

Two different positions of a dice are shown below. Which number will appear on the face opposite to the face with number 4?

Solution:

Faces with four numbers 6, 2, 5 and 3 are adjacent of to the face with No. 4.

the faces with no. 6, 2, 5 and 3 cannot be opposite to the face with no. 4.

Hence 1 is the opposite of number 4.

Rule No. 2:

If two different positions of a dice are shown and one of the two common faces is in the same position then of the remaining faces will be opposite to each other.

Example:

Two different positions of a dice are shown below.

Here in both shown positions two faces 5 and 3 are common.

The remaining faces are 2 and 4.

Hence the number on the face opposite to the face with number 2 is 4.

Rule No. 3:

If in two different positions of dice, the position of a common face be the same, then each of the opposite faces of the remaining faces will be in the same position means the opposite of the number on 1st position of dice is same face on the 2nd position of a dice.

Example:

Here in both positions of common 3 is same.

Therefore, opposite of 5 is 6 and opposite of 4 is 2.

Rule No. 4:

If in two different positions of a dice, the position of the common face be not the same, then opposite face of the common face will be that which is not shown on any face in these two positions. But, the opposite faces of the remaining faces will not be the same.

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