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Question

Two different positions of the same dice are shown having numbers 1 to 6 represented as dots. Find the number on the face opposite the face showing '5'.

The correct answer is
4

To determine the number on the face opposite the face showing '5', we can analyze the two dice positions given in the image. Let's observe the positions:

Dice positions showing different numbers
  1. In the first dice position, we see the numbers 5, 3, and 1.
  2. In the second dice position, we see the numbers 1, 4, and 6.

From the above observations:

  • The number '1' is common in both positions. This indicates that in these two views, the faces adjacent to '1' (5 & 3 in the first position, and 4 & 6 in the second position) do not include the opposite face. Thus, 1 is not facing opposite to any of these visible faces.
  • By process of elimination and matching adjacent faces, the unseen face is opposite '5'.
  • Since '5' is adjacent to 1 and 3 in one view, and '1' shifts but shows that '6' and '4' are adjacent without disrupting the positioning relative to '5'. Hence, '5' and '4' are opposite.

Therefore, the number on the face opposite the face showing '5' is 4.

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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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