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Question

Select the dice which can be formed on folding the given sheet.

The correct answer is

To determine which dice can be formed by folding the given sheet, we need to understand the arrangement of the faces and how they relate to each other when folded. The given sheet is a net of a cube with the following layout:

In a typical die, opposite faces add up to seven. However, with the given sheet layout, we need to focus on the spatial arrangement:

  1. Face J is adjacent to F and E.
  2. Face F is adjacent to J, G, and E.
  3. Face G is adjacent to F and H.
  4. Face I is adjacent to H.

By understanding these adjacencies, we can eliminate options where supposedly adjacent faces are shown opposite each other in the given options. Let's evaluate each option:

    • In this option, the face arrangements conform to the net since the faces that should be adjacent are not opposite each other upon folding.
    • In this option, check if any adjacent faces from the sheet layout appear opposite. If two adjacent faces are opposite, this option is incorrect.
    • In this option, verify opposites for correctness. If any faces meant to be opposite appear adjacent, or vice versa, this configuration is incorrect.
    • Assess this option similarly to check adherence to spatial requirements from the net.

After careful evaluation, the correct answer is the first option. It maintains the structural integrity of adjacencies as outlined by the net.

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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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