Six numbers 1, 2, 3, 4, 5 and 6 are written on different faces of a dice. Three different positions of the same dice are shown. Select the number on the face opposite to the one having 4.
To find the number on the face opposite to the one having 4 on a dice, let's examine the given dice positions:
First, observe the three positions of the dice shown:
- Position 1: Faces visible are 6, 1, 4.
- Position 2: Faces visible are 1, 2, 4.
- Position 3: Faces visible are 1, 5, 2.
In the first two positions, the number 4 is common, and we can see that when 4 is shown, the number 6 is not visible. This implies that 6 is not opposite to 4.
Now, consider positions 2 and 3. The number 1 is common in both and visible, while 4 is concealed in position 3. Therefore, the numbers visible with 1 in position 3 are 5 and 2.
Thus, the number opposite to 4 must be among the numbers visible with 1 when 4 is not visible, which includes 5 and 2.
Since 2 is already opposite 1 (from analysis of position 3 where both 1 and 2 appear together), the number opposite to 4 is indeed 5.
Hence, the number on the face opposite to the one having 4 is 5.
Similar Questions
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Important Questions from Cube and Dice
Pairs of adjacent sides of a big cube are coloured with red, yellow and brown colour. Now this big cube is divided into 64 small equal cubes. How many small cubes will have 3 faces painted with different colours?
A cube of side 4 cm is painted green on all its faces and then divided into smaller cubes of side 2 cm each. How many small cubes have been obtained?
Two adjacent faces of a solid cube are painted with black colour. The faces opposite to the black faces is painted with blue colour while the remaining faces are painted with yellow colour. After painting, this cube has been divided into 125 equal cubes. How many cubes have no faces painted?
A cube is painted blue on two adjacent faces and on one opposite face, green on two opposite faces and pink on the remaining face. It is then cut into 64 equal cubes. How many cubes have only one blue-coloured face?
A cube, whose two adjacent faces are coloured, is cut into 64 identical small cubes. How many of these small cubes are not coloured at all?
