Puzzle of the Month, August 99
Logic? Shmlogic...

1) Holy Pentagram
Find the area of the pentagram shown below (the answer is a 1-digit number).

Holy pentagram
96-99, Sarcone & Waeber, Lausanne


2) Which number?
Find x in the following sequence, and explain your choice:

which number
96-99, Sarcone & Waeber, Lausanne

Solutions

1) The area of the pentagram is 0. Considering that the sum of the small and medium sides of each triangle is equal to the largest ones, for instance:
AE + AD = DE, CD + BD = BC, and CE + CD = DE. Then,
the triangles AED, CDE and CDB are not triangles at all, but lines! The area of any line equals zero...

2) x = 3. ONE has 3 letters; TWO, 3 letters; THREE, 5 letters, etc... TEN has 3 letters, and ELEVEN, 6 letters.


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