TREATISE:
. Quantum
Nodal Theory
ROMALDKIRK:
. Village
. Reservoirs
ESSAYS: COSMOLOGY
. Infinity
. Universe
. Dark Matter
ESSAYS: PHILOSOPHY
. Free Will
. Representation
. Conditionals
. Postscript
ESSAYS: ORGAN MUSIC
. Practising
. British Organs
. Hymn Playing
. Music Lovers
QUIZ QUESTIONS
. Monthly Quiz
. Quiz Archive
SERVICES
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Quiz of the Month (January 2006)
Hector C. Parr
SOLUTION TO LAST MONTH'S QUIZ1. 2 m 2. 4.2857 m 3. 7 m Notes.  1. By similar triangles, h/3 = x/(x+y)
Similarly, h/6 = y/(x+y)
Adding, h/3 + h/6 = 1 (etc.)
2. Similarly, 2.5/k + 2.5/6 = 1 (etc.)
where k is height of shorter pole.
3. x/12 = 2.5/k (etc.)
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THIS MONTH'S QUIZTommy wrote down three 3-digit numbers; the second number was twice the first, and the third was three times the first. To his surprise he discovered that altogether he had then written each of the digits 1 to 9 once only. Find all possible values for Tommy's first number. |