Professor Stewart's Hoard of Mathematical Treasures

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together with such gratuitous facts and fancies as may facilitate their further delectation and enlightenment.
    Calculator Curiosity 1 (8×8) + 13 = 77 (8×88) + 13 = 717 (8×888) + 13 = 7117 (8×8888) + 13 = 71117 (8×88888) + 13 = 711117 (8×888888) + 13 = 7111117 (8×8888888) + 13 = 71111117 (8×88888888) + 13 = 711111117 Year Turned Upside Down Past: 1961; Future: 6009.
If you insist on allowing a squiggle on the 7, amend these to 2007 and 2117.
    Sixteen Matches Move these two.
    Swallowing
...Elephants The deduction is false.
Suppose, for the sake of argument, that elephants are easy to swallow. Then the third statement in the puzzle tells us that elephants eat honey. The second then tells us that elephants can play the bagpipes. On the other hand, the first statement tells us that elephants wear pink trousers, in which case the fourth statement tells us that elephants can’t play the bagpipes. So we get a logical contradiction.


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