Dice is a cube. In cube there are 6 faces. Numbers 1 to 6 are written on the faces. Only one number from 1 to 6 is written on one face. Sometimes are faces are coloured and black dots from 1 to 6 are marked. Dice have been used since before recorded history, and it is uncertain where they originated. It also plays a critical role in the great Hindu epic **Mahabharata**, where **Yudhisthira** plays a game of dice against the **Kauravas** for the northern kingdom of **Hastinapura**, which becomes the trigger for a war.

## Important Points on Dice

**1)** There are 6 faces in the cube –** ABCG, GCDE, DEFH, BCDH, AGEF and ABHF.**

2) Always four faces are adjacent to one face.

**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.

There are certain rules with help of there rules questions on dice can easily determined.

**Rule No. 1**. Two opposite faces can not be adjacent to one another.

Solved Examples on Dice

**Example. 1**

Two different positions of a dice are shown above. 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 to the face with No.4. Hence the faces with no. 6, 2, 5 and 3 can not be opposite to the face with no. 4. Therefore the remaining face with no. 1 will be opposite to the face with no. 4.

**Rule No. 2)** If two different positions of a dice are shown and one of the two common faces is in same position then of the remaining faces will be opposite to each other.

**Example 2** Two different positions of a dice are shown below.

**Solution:** Here in both shown positions two faces 5 and 3 are common. The remaining faces 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.

**Example 3**

**Solution:** Here in both positions of common (3) is same 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. Besides, the opposite faces of the remaining faces will not be the same.

**Example 4**

**Solution:** Here in two positions of a dice the face with number 1 is not in same position. The face with number 6 is not shown. Hence the face opposite to the face with number (1) is (6). Besides the opposite face of (3) will be the face with number (2) and opposite face to face (5) will be the face with number (1)

## Dice Questions from Previous Year Exams

- Dice

## Dice Video Lecture

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