HOME

TREATISE:
. Quantum
Nodal Theory

ROMALDKIRK:
. Village
. Reservoirs

ESSAYS: COSMOLOGY
. Infinity
. Universe

ESSAYS: PHILOSOPHY
. Free Will
. Representation
. Conditionals
. Postscript

ESSAYS: ORGAN MUSIC
. Practising
. British Organs
. Hymn Playing
. Music Lovers

QUIZ QUESTIONS
. Quiz Archive

SERVICES
. Book Reviews

Quiz of the Month (November 2000)

Hector C. Parr

***

SOLUTION TO LAST MONTH'S QUIZ

                1) 463/512
                2) John has 90, David has 30
                3) 100 ml.

Notes 1). Can be solved by trial and error with a calculator. There are 720 such fractions, but only a few need be tested. Alternatively, the question presents a nice little programming problem. (Several replies gave 543/612 as the answer. Check it out with a calculator!) 2). 2J/3 = D + J/3 2D/3 = J + D/3 - 80 Solving, J = 90, D = 30 3). At 12:30 I have travelled 30 ml., so we are 220 ml. apart. We then approach each other at 110 mph. So we meet at 14:30, by which time my friend has covered 100 ml.

THIS MONTH'S QUIZ

  1. What three numbers (all different) give the same result
     when multiplied together as when added together?

  2. A cube with edges 5 inches long is given a coat of paint.
     If it is then cut into 125 equal cubes, how many of these  
     will have (i) exactly three painted faces, (ii) two
     painted faces, (iii) one painted face?

  3. What number ending in 8 is doubled when the last digit is
     transferred to the beginning? [Hint: it may contain more
     digits than you expect.]

***

(c) Hector C. Parr (2001)


Back to Quiz Archive