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 Quiz of the Month (February 2008)
Hector C. Parr
***
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 = 49.086^{o}
Now Earth gains 360^{o} in 778.7 days
So Earth gains 49.086^{o} 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.

***
© Hector C. Parr (2008)
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