Three Statements XLogic puzzles require you to think. You will have to be logical in your reasoning.
Which of these three statements are true?
1. Using exactly three colors it is possible to color the sides of a cube in such a way that two sides having the same color never touch.
2. A regular octagon can be divided into 8 identical triangles by drawing 4 straight lines.
3. Three equally sized circles can be drawn in such a way that they overlap and create 9 separate compartments.
AnswerStatements 1 and 2 are true, statement 3 is false.
In statement 1, use each color on each pair of opposite surfaces, and they do not touch.
In statement 2, connect each vertex with its opposite one, this will be 4 straight lines, and the octagon is divided into 8 identical triangles.
In statement 3, the first circle divides the plane into 2 parts, the second circle at most divides each of the 2 parts into two, making 4 parts, and the third circle at most divides each of the 4 parts into two, making 8 parts. It's impossible to get more than 8 parts.
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