536 Puzzles and Curious Problems

(Elliott) #1

Colonel Crackham then asked them
to show how a dial may be broken into
four parts so that the numerals on
each part shall in every case sum to 20.
As an example he gave our illustra-
tion, where it will be found that the
separated numerals on two parts sum
to 20, but on the other parts they add
up to 19 and 21 respectively, so it fails.


Clock Puzzles 15

so. WHEN DID THE DANCING BEGIN?

"The guests at that ball the other night," said Dora at the breakfast table,
"thought that the clock had stopped, because the hands appeared in exactly
the same position as when the dancing began. But it was found that they had
really only changed places. As you know, the dancing commenced between
ten and eleven oclock. What was the exact time of the start?"

51. MISTAKING THE HANDS

"Between two and three oclock yesterday," said Colonel Crackham, "I
looked at the clock and mistook the minute hand for the hour hand, and
consequently the time appeared to be fifty-five minutes earlier than it actually
was. What was the correct time?"



  1. EQUAL DISTANCES


A few mornings ago the following clock puzzle was sprung on his pupils by
Professor Rackbrane. At what time between three and four oclock is the
minute hand the same distance from VIII as ·the hour hand is from XII?


  1. RIGHT AND LEFT


At what time between three and four oclock will the minute hand be as far
from twelve on the left side of the dial plate as the hour hand is from twelve
on the right side of the dial plate?

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