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Cubes and Dices

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Q 1. Two positions of a dice are shown below. When 3 is at the bottom, what number will be at the top?

6

3

4

2

From the two views of the dice it is clear that number 4 will be at the top when 3 is at the bottom.

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Q 2. Study the two different positions of a dice. When the face containing one dot is at the bottom then how many dots would be there on the top face?

6

5

4

3

When both 2 and 3 dots are at the same side, 1 dot should be opposite to 4 dot.

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Q 3. How many dots are there on the face opposite the face with two dots?

1

5

4

6

There are 2, 3, 4 and 6 dots respectively on the adjacent faces of the face having 5 dots. Therefore, the face with one dot will be opposite the face having 5 dots.

There are 1, 3, and 5 dots respectively on the adjacent faces of the face having two dots. Therefore, either 4 or 6 dots will be on the face opposite of the face having two dots. Now, 4 and 6 dots cannot be on the opposite faces. Clearly, 6 dots are there on the face opposite to the face with two dots.

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Q 4. Two positions of a dice are shown below. When number 'one' is on the top, what number will be at the bottom?

1

2

3

4

When both 6 and 4 are in the same position of cube, 5 should be opposite to 1.

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Q 5. Two positions of a dice are shown below :

When 3 is at the bottom, which number is at the top ?

4

5

2

1

1 lies opposite 5.

2 lies opposite 3.

4 lies opposite 6.

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Q 6. Two positions of a dice are shown below :

When '2' is at the bottom, what number will be at the top?

3

5

1

6

When '2' is at the bottom, number '1' will be on the top.

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Q 7. From the following two different appearances of die, find out the colour which is opposite to Red :

Blue

Black

White

Yellow

From the two views of the dice, it is clear that Black is opposite to Red.

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Q 8. Two positions of a dice are shown below :

When 4 is at the bottom, what will be at the top?

2

3

5

6

From the two views of the dice, it is clear that when 4 is at the bottom, 3 will be on the top.

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Q 9. Four positions of a dice are given in the question figures. Identify the number at the bottom when top's is 6.

5

1

3

4

From the given views of dice it is clear that the numbers 2, 3, 4, and 5 cannot be on the face opposite 1. Hence, 6 must be on face opposite 1. Therefore, when 6 is on the top face 1 must be on the bottom face.

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Q 10. Two positions of a dice are shown below. When 4 is at the top what number will be at the bottom?

5

1

2

6

The numbers 2, 4, and 5 cannot be on the opposite face of 6. From the two views of dice, it is clear that 2 is at the bottom when 4 is at the top.

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Q 11. Observe the faces of the dice and answer the question.

Which colour is opposite to Red?

Yellow

Pink

Green

Black

Blue, Pink, Yellow and Green colours are on the faces adjacent to Red. Therefore, Black colour is opposite to Red.

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Q 12. Four positions of a dice are given below.

Identify the number at the bottom when top is 6.

3

1

4

5

The numbers 2, 3, 4 and 5 cannot be on the opposite faces of the number 1. Therefore 1 lies opposite to 6.

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Q 13. Four positions of a dice are given below. Identify the number at the bottom when top's number is 6 :

5

1

3

4

The numbers 2, 3, 4 and 5 cannot be on the face opposite to1. Therefore, 6 lies opposite 1.

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Q 14. Three positions of a dice are given below. Identify the number on the face opposite to 6.

1

4

5

6

The numbers 2, 4, 5, and 6 cannot be on the face opposite to 3.

The numbers 1, 3, 4, and 6 cannot be on the face opposite to 5.

Therefore, 2 lies opposite 5.

Clearly, 4 lies opposite 6.

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Q 15. Position of Dices is given below :

Identify the number when top is 5 what will be at bottom?

6

3

4

2

The numbers 1, 2, 4 and 5 lie on the faces adjacent to 3.

Therefore, the number 6 lies opposite 3.

The numbers 3, 4,5 and 6 lie on the faces adjacent to 1.

Therefore, the number 2 lies opposite 1.

Now, the number 4 lies opposite 5.

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Q 16. Which number appear in the face opposite to the face with number 4?

1

2

3

5

From the two views of dice, it is clear that number '1' lies opposite to number '4'.

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Q 17. Study the following figures and find out the number opposite to 3.

6

4

5

2

The numbers 1, 2, 4 and 6 are on adjacent faces of the number 5. Therefore, the number 3 lies opposite to 5.

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Q 18. Study the following figures and find out the number opposite to 2.

1

4

5

6

The numbers 2, 4, 5 and 6 are on adjacent faces of the number 3. Therefore, number 1 lies opposite to 3.

The numbers 2, 3 and 5 are on adjacent faces of the number 6. Therefore, the number 4 lies opposite to 6.

Now, the number 5 lies opposite to 2.

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