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Quiz of the Month (January 2003)

Hector C. Parr

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SOLUTION TO LAST MONTH'S QUIZ

   1.  87.5 p
   2.  9 hr. 15 m.
   3.  9 hr. 33 m. 20 s.


Notes 1. Suppose present cost = x pence/litre Then previous cost = x - 7 So 25(x - 7) = 23 x Solving, x = 87.5 2. Assume some definite distance between KX and York. (We will choose 200 ml.) Then speed of each train = 100 mph. At 8:30 trains are 150 ml apart, and approaching at 200 mph. So time taken to meet = 150/200 = 3/4 hr. 3. Speed of train from York = 200/2.5 = 80 mph. At 9:00 trains are 100 ml apart, and approaching at 180 mph. So time taken to meet = 100/180 = 5/9 hr.

THIS MONTH'S QUIZ

There were six cars on a garage forecourt. Three passers-by, A, B and C, commented as follows:

A. "At least one of those cars is a Ford."
B. "More than one of those cars is a Ford."
C. "More than one of those cars is not a Ford."

What can you say about the number of Ford cars if:

1. A was correct but B was not?
2. B was correct but C was not?
3. Only one of the three comments was correct?


***

(c) Hector C. Parr (2003)


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