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Question

Three different positions of the same dice are shown. Find the number on the face opposite the face showing '4'.

The correct answer is
3

To find the number on the face opposite the face showing '4', we need to analyze the given positions of the dice carefully.

  1. The first dice position shows numbers: 6, 1, and 4. Here, 1 is adjacent to 4.
  2. The second position shows numbers: 2, 1, and 3. Here, 1 is adjacent to both 2 and 3.
  3. The third position shows numbers: 6, 4, and 5. Here, 4 is adjacent to both 6 and 5.

From these observations, we need to determine which number is opposite to 4:

  1. Since 1 is adjacent to 4 in the first position and adjacent to both 2 and 3 in the second position, 2 and 3 cannot be opposite 1. Thus, they must be on the remaining faces. Since they cannot be adjacent to 4 and 6 respectively in the other positions.
  2. Since 5 is seen in the third figure alongside 4, it cannot be opposite 4.
  3. This leaves 3 as the possible face opposite to 4 since it is not adjacent to 4 in any position.

Thus, the number on the face opposite the face showing '4' is 3.

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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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