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Quiz of the Month (November 2005)

Hector C. Parr

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SOLUTION TO LAST MONTH'S QUIZ

  1.  1413
  2.  4074M
  3.  Between 360 and 369 Marsdollars (inclusive)
        (i.e. 260M to 269M Marsdollars)

Notes.
1. 9*144 + 9*12 + 9 = 1413

2. 4*1728 + 0 + 7*12 + 4 = 7000

3. Suppose the digits on the bill are a, b, c.
Then (a*144 + b*12 + c) - (a*100 + b*10 + c) = 100
So 44*a + 2*b = 100
By inspection, a = 2, b = 6.
c may have any value from 0 to 9.

THIS MONTH'S QUIZ

ABCDWXYZ is a square room measuring 20 ft by 20 ft, and 10 ft high, as shown.

1. A badly-educated fly spends its life flying in a straight line between points D and X. Find the length of its flight-path.

2. A spider, more intelligent than the fly but excessively timid, cowers in the corner W. What is the least distance between the spider and the fly?

3. If the spider musters sufficient courage to venture along the line WZ, then what is the least distance it can ever be from the fly?

***

© Hector C. Parr (2005)

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