Answer:
The sixth cube from the left is a green cube.
Step-by-step explanation:
There are 12 cubes, 3 blue cubes, 2 yellow cubes, 3 red cubes, and 4 green cubes.
Let B, Y, R and G represent blue, yellow, red and green cubes respectively.
The arrangement will be predicted with the information provided
- There is a yellow cube at one end and a red cube at the other end. There are two models to this.
Y, , , , , , , , , , , R
Or
R, , , , , , , , , , , Y
- The red cubes are all touching. Note that there are 3 red cubes
Y, , , , , , , , , R, R, R
Or
R, R, R, , , , , , , , , Y
- The green cubes are also all touching and the tenth cube from the left is blue.
We first position the blue cube at a position tenth from the left
Y, , , , , , , , , R, R, R
With this configuration, the blue cube will be taking the position of a red cube and that violates the rule that the 3 red ctubes are touching, Hence, it is evident that the 2nd model we're examining is the correct one
We then position the blue cube at a position tenth from the left in the 2nd model
R, R, R, , , , , , , B, , Y
Then all the 4 green cubes are touching, they could be placed in a number of ways
R, R, R, G, G, G, G, , , B, , Y
Or
R, R, R, , G, G, G, G, , B, , Y
Or
R, R, R, , , G, G, G, G, B, , Y
Note that in each of the 3 possible ways this can happen, the sixth cube from the left is always a green cube.
Hence, the sixth cube from the left is a green cube.
Hope this Helps!!!
