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 Puzzle 1501 How many squares, of any size, are on a board divided up into 6 squares by 6 squares? [Ref: ZTKI]   Hint: Answer: 91 squares: there are 36 one by ones, 25 two by twos, 16 three by threes, 9 four by fours, 4 five by fives and 1 six by six. Puzzle 1502 What number comes next in this sequence: 1 8 9 64 25 216 49 ==?== [Ref: ZPPV] © Kevin Stone  Hint: Think of squares and cubes. Answer: 512. Each term alternates between a square and a cube, 8 3 = 512. Puzzle 1503 You have the misfortune to own an unreliable clock. This one loses exactly 10 minutes every hour. It is now showing 1.00am and you know that is was correct at midnight, when you set it. The clock stopped 1 hour ago, what is the correct time now? [Ref: ZLOA] © Kevin Stone  Hint: Answer: 2.12am: since the clock is losing 10 minutes every hour, for every real hour that has passed, the clock will only show 50 minutes. Since the clock shows 1:00am, we know that 60 clock minutes have passed. This therefore equals 72 real minutes and hence 1.2 hours. The clock stopped 1 hour ago and the time must now be 2.12am. QED. Puzzle 1504 What number comes next in this sequence: 3 24 102 312 777 ==?== [Ref: ZUCY] © Kevin Stone  Hint: Answer: 1680. This is n to the power of 5, starting with 2^5 = 32, with the last digit missing, 7^5 = 16807. Puzzle 1505 At what distance from the earth it is possible to see exactly 1/3 of the earth's surface? [Ref: ZRUM]   Hint: Answer: At a distance equal to the diameter, about 7900 miles.

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