Clock Puzzles

9. Where of the smaller watches would continue the sequence shown on the top line?
   
Puzzles for Time
Answer
Ans: (b).
On each watch the minutes value equals the hour value multiplied by three.
10. WHAT IS THE TIME?
At what time are the two hands of a clock so situated that, reckoning as minute points past XII, one is exactly the square of the distance of the other?
Answer
Ans: The time is 63/4 minutes past IX, when the hour hand is 45x9/16
(the square of 6x3/4) minutes past XII. If we allow fractions less than a minute point,
there is also the solution, five seconds (one-twelfth of a minute) past XII oclock.
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