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Question

Three different positions of the same dice are shown. Find the number on the face opposite the face showing '5'.

The correct answer is
6

To determine the number on the face opposite the face showing '5', let's analyze the given positions of the dice.

  1. From the first position of the dice, the faces visible are 5, 3, and 4.
  2. From the second position, the faces visible are 5, 2, and 1.
  3. From the third position, the faces visible are 2, 5, and 4.

The key is to find common numbers across different positions and identify the opposite face to '5'.

  • Numbers 3 and 2 can be seen along with the number 5 in different orientations.
  • The number 4 is visible with '5' in two positions; this means 4 cannot be opposite '5'.
  • Thus, the only face not visible in any of the same positions as '5' is the number '6'.

Hence, the face opposite to '5' is 6.

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Important Questions from Cube, cuboid and Dice

  1. Each of the six different faces of a cube has been coated with a different colour i.e., V, I, B, G, Y and O. 

    Following information is given: 

    1) Colours Y, O and B are on adjacent faces. 

    2) Colours I, G and Y are on adjacent faces. 

    3) Colours B, G and Y are on adjacent faces. 

    4) Colours O, V and B are on adjacent faces. 

    Which is the colour of the face opposite to the face coloured with O?

  2. Three views of a cube following a particular motion are given below:
    What is the letter opposite to A?

  3. Six squares are coloured, front and back, red (R), blue (B), yellow (Y), green (G), white (W) and orange (0) and are hinged together as shown in the figure given below. If they are folded to form a cube, what would be the face opposite the white face?

  4. A cuboid has six sides of different colours. The red side is opposite to black. The blue side is adjacent to white. The brown side is adjacent to blue. The red side is face down. Which one of the following would be the opposite of brown?

  5. A cube has six numbers marked 1, 2, 3, 4, 5 and 6 on its faces. Three views of the cube are shown below:

    What possible numbers can exist on the two faces marked and respectively on the cube?

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