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Question

Three different positions of the same dice are shown. Find the number on the face opposite the face having '1'.

The correct answer is
3

To determine the number on the face opposite the face having '1', we will analyze the given positions of the dice:

  1. In Figure 1, the visible numbers are 4, 5, and 3.
  2. In Figure 2, the visible numbers are 3, 5, and 6.
  3. In Figure 3, the visible numbers are 3, 6, and 2.

From Figures 1 and 2, we can see that:

  • The common number on the visible faces is '3'.
  • The face opposite '4' (from Figure 1) must be one of the numbers in Figure 2 that is not common, which is '6'.

When observing Figure 3:

  • The common number from Figure 2 is '3' and from Figure 3 is '3'.
  • This implies that face '6' in Figure 2 must pair with another face which in Figure 3 is paired with 2.

Thus, by elimination and deduction from these figures:

  • The number opposite '3' must be '1'.
  • The number opposite '1' is therefore '3'.

Therefore, the number on the face opposite the face having '1' is 3.

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Important Questions from Cube, cuboid and Dice

  1. What would be the symbol on the opposite side of ‘@’ if the given sheet is folded to form a cube?

  2. Six letters J, K, L, M, N and O are written on different faces of a dice. Two positions of this dice are shown in the figure below. Find the letter on the face opposite to J.

  3. Six letters U, V, W, X, Y, and Z are written on different faces of a dice. Two positions of this dice are shown in the figure. Find the letter on the face opposite to V.

  4. Six letters B, F, D, X, N, and A are written on different faces of a dice. Two positions of this dice are shown in the figures below. Find the letter on the face opposite to D.

  5. Six letters G, H, I, J, K, and L are written on different faces of a dice. Two positions of this dice are shown in the figure below. Find the letter on the face opposite to G.

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