Brain Teasers
Three Statements X
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.
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.
Answer
Statements 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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Comments
These are awesome-ly FUN!!!
I REALLYREALLYREALLY love your teasers, lips!
I REALLYREALLYREALLY love your teasers, lips!
These are such fun teasers! I would be very interested in knowing how you got 8 compartments with the circles - the most I could get was 7.
I think he is including the outside area as a "part". Poor wording because I don't think a compartment can be bounded on the inside only.
other than that the teaser was fun and easy.
other than that the teaser was fun and easy.
Hey if thats constructive criticsism then ok but if not then thats just plain negative. Great teaser lips!
i got the impression that only one of the statements was true because of the wording. Anyone else? Good job anyway though
I LIKED IT. EASY
Yes, Fasil is right. The outside part also counts as a part.
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