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Question

Three different positions of the same dice are shown. Find the number on the face opposite the face showing '3'.

The correct answer is
1

To find the number on the face opposite the face showing '3', we need to analyze the positions of the dice shown in the images.

  1. In the first position, we see the numbers 3, 2, and 4.
  2. In the second position, we see the numbers 3, 6, and 5.
  3. In the third position, we see the numbers 4, 3, and 6.

Let's use the logic of adjacency to determine the opposite face:

  • The numbers adjacent to '3' in the first image are 2 and 4.
  • The numbers adjacent to '3' in the second image are 6 and 5.
  • The numbers adjacent to '3' in the third image are 4 and 6.

From these, we conclude that the numbers on opposite faces cannot be adjacent on the same face.

By identifying all numbers adjacent to '3', we have 2, 4, 6, and 5. The only number missing (which is not adjacent) is '1'. Therefore, '1' is on the face opposite '3'.

Conclusion: The number on the face opposite the face showing '3' is 1.

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Important Questions from Cube and Dice

  1. Four friends J, Q, B and Z rolled the dice in alphabetical order.

    The scores were:

    1st round: 3, 2, 5, 2

    2nd round: 1, 5, 1, 4

    3rd round: 4, 2, 1, 1

    If each point on the dice would get 10 points, who won the maximum points after 3 rounds?

  2. Six numbers, 1, 2, 3, 4, 5, and 6, are written on the different faces of a dice. Three different positions of the same dice are shown (Figures 1-3). Find the number on the face opposite to the face showing ‘3’.

  3. 1, 2, 3, 4, 5, and 6 are written on different faces of a dice. Three different positions of the same dice are shown below. Find the number on the face opposite to the one showing ‘6’.

  4. Which of the following interchanges of signs would make the given equation correct?
    7 − 4 × 40 ÷ 5 + 6 = 51

  5. Select the correct mirror image of the given figure when the mirror is placed at PQ as shown below.

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