Never Occurs in a Day

What occurs twice in a week, once in a year but never in a day?




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There is a box in which distinct numbered balls have been kept. You have to pick two balls randomly from the lot.

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Will you accept that bet?

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Imagine a box with two cogwheels, one big with 24 teeth and one small with 8 teeth. The big one is firmly attached to the center of the box which means it does not turn or move while the small one rotates around the big one.

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In 2007, a puzzle was released and $2 million prizes were offered for the first complete solution. The competition ended at noon on 31 December 2010, with no solution being found. Wiki