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## Quiz of the Month (October 2002)

### Hector C. Parr

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#### SOLUTION TO LAST MONTH'S QUIZ

 ``` 1. 48 hrs. 2. 4 3. 0 cm. The water level does not rise at all. ```

Notes
1. A new date is "born" when it is midnight on the Date Line. The sector to which this date applies grows from zero to 360o over the next 24 hours, and decreases to zero over the following 24 hours. (The local mean time is a continuous function of longitude: it does not vary in steps of one hour.)

2. The four points are the vertices of a regular tetrahedron.

3. A floating body displaces its own weight of water. So the material of the ice displaces 1 cubic metre of water both before and after melting.

#### THIS MONTH'S QUIZ

1. The Chairman of Little Puddleton Parish Council wants to buy two new chairs for the use of officials at council meetings. A Classic chair and an Elegant chair would cost a total of £212, an Elegant and a Sumptuous would cost £229, while a Sumptuous and a Luxury would cost £220. What would be the cost of a Classic and a Luxury?

2. Little Puddleton achieved a brief moment of fame when a well-known pop group staged an outdoor concert there. Three-quarters of the audience brought rain coats, one-half brought umbrellas, and one-third brought both. Twenty people brought neither, and got very wet. How many attended the concert?

3. The number of women present at last night's AGM of the Little Puddleton Parish Council was four-fifths the number of men present. Sixty percent of the men were married, and a quarter of these were accompanied by their wives. Half the married women were accompanied by their husbands, and ten unmarried women were present. How many people attended the meeting?

***

(c) Hector C. Parr (2002)

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