Bear News Beartown News

SEPTEMBER 1, 2006

MYSTERY

ROWS OF BUSHES

To celebrate her sixteenth birthday, Rose Busch decided to plant 16 rose bushes in her garden.  At first she considered planting them in a four-by-four array, which would result in ten rows of fours (four rows, four columns, and two diagonals).
However, she finally decided that it would be more pleasing to plant the bushes in fifteen rows of four,
HOW DID SHE ARRANGE THEM?

SEE NEXT MONTH'S BEARTOWN NEWS FOR THE ANSWER


FROM LAST MONTH

MORE TRUTH AND LIES

In a certain country there are three types of inhabitants: type T who always tells the truth; type F who always lie; and type A who alternately lie and tell the truth.  They will answer any question with "Yes" or "No" if one of these answers is possible.  If the question cannot be answered, they will keep silent.

By asking an inhabitant one question, determine which type he is.  WHAT IS THE QUESTION?  "Are both of the following statements true?:
1. Are you type A?
2. If this question were, 'Does a triangle have four sides?' your answer would be the same as your present answer."
In response to this question, type T will answer, "No"; type F will answer, "Yes"; and type A will be unable to reply.


 

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