### The Clock Between Noon Midnight

At noon and at midnight, the long and short hands of a clock are together.

Between noon and midnight, how many times does the long hand pass the short hand?

At noon and at midnight, the long and short hands of a clock are together.

Between noon and midnight, how many times does the long hand pass the short hand?

Ah! Click here to read the solution. | SelectShow |
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The long hand passes the short hand only 11 times. The long hand passes the short hand at noon, and between the times 1 pm and 2 pm, 2 pm and 3 pm, 3 pm and 4 pm, 4 pm and 5 pm, 5 pm and 6 pm, 6 pm and 7 pm, 7 pm and 8 pm, 8 pm and 9 pm, 9 pm and 10 pm, 10 pm and 11 pm a total of 11 times. Please note that the long hand does not pass the short hand between 11 pm and 12 am, it just meets the short hand at 12 am. |

A knight wants to marry a princess and she wants to marry him.

However, the king demands that the knight draw one of two slips of paper from a box. The king says one will say ‘Death’ and the other ‘Marriage’. The princess whispers to her suitor that both slips say ‘Death’. What could the knight do to wed the princess?

Ah! Click here to read the solution. | SelectShow |
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The knight could tear up the paper he picks and offer the other one to the king. He could then tell the king that since the untorn paper reads ‘Death’, the one torn must have read, ‘Marriage’. |

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