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Quiz of the Month (February 2008)

Hector C. Parr

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SOLUTION TO LAST MONTH'S QUIZ

  1. Earth:  18.53 ml/sec
     Mars:   15.03 ml/sec
  2. 11 Feb 2010
  3.  9 Apr 2008 

Notes. The question does not specify the time of day at which opposition occurs, nor whether 2008 is a leap year (leap years would be unnecessary if the the year length were exactly 365 days), so answers are acceptable if within two days of those given above. 2. In one day Earth gains on Mars 1/365 - 1/687 = 0.0012841 of one orbit. So Earth gains one orbit in 1/0.0012841 = 778.7 days. (etc.) 3. If q is the angle between Earth and Mars as seen from Sun, cos q = 93/142, so q = 49.086o Now Earth gains 360o in 778.7 days So Earth gains 49.086o in 778.7 * 49.086 / 360 = 106.08 days (etc.)

THIS MONTH'S QUIZ

1. Find the least whole number, with 5 as its first digit, which is divided by 4 (without remainder) when this first digit is transferred to the other end.

2. Find the least whole number, with 3 as its first digit, which is divided by 2 (without remainder) when this first digit is transferred to the other end.

3. Find the least whole number, with 4 as its first digit, which is divided by 3 (without remainder) when this first digit is transferred to the other end.

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© Hector C. Parr (2008)

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