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 2001)

### Hector C. Parr

***

#### SOLUTION TO LAST MONTH'S QUIZ

```  1).  4.3094 cm

2).  5.4026 cm

3).  6.0000 cm

Notes```
 1). If O is the centre of the required circle, angle QOP = 60 degrees. So OQ = 1/sin 60, and OR = 1 + 1/sin 60. So the required diameter = 2 + 2/sin 60.

``` 2).Five coins may be arranged in similar fashion, each touching
its two neighbours and the circumference of the required circle.
Here angle QOP = 36 degrees. So required diameter = 2 + 2/sin 36.```

 3. If six circles are fitted into the required circle as in questions 1) and 2), there is room for a seventh in the middle, as shown.

#### THIS MONTH'S QUIZ

```  1. There were three nominations A, B and C for two places
on a committee. The electors each voted for one pair of
candidates and the result was A 10 votes, B 9 votes and
C 7 votes. How many electors voted for both the two
candidates A and B?

2. There were four nominations for three places on another
committee, each elector voting for three of them. If A
got 30 votes, B got 34, C got 29 and D got 27, how many
electors voted for the three candidates A, B and C?

3. There were four nominations for two places on yet another
committee, each elector voting for two of them. A got 31
votes, B got 23, C got 29 and D got 27. The number of
electors voting for A and B was the same as the number
voting for B and D, and was one more than the number
voting for B and C. How many voted for both A and B?```

***

(c) Hector C. Parr (2001)

Back to Quiz Archive