Puzzle 5
Which are there more of …
… fathoms in a kilometre …
… or hours in a month?
Puzzle Copyright © Kevin Stone
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Answer
Hours in a month.
Reasoning
A fathom is 6 feet, which is 1.8288 metres.
So there are 1000 ÷ 1.8288 ≈ 546.8 fathoms in a kilometre.
The shortest month has 28 x 24 hours = 672.
So even the shortest month has more hours than there are fathoms in a kilometre.
Puzzle 6
What number comes next in the sequence:
11 13 17 31 37 71 73 79 97 ?
Puzzle Copyright © Kevin Stone
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Hint
A very tricky puzzle involving prime numbers.
Answer
101.
These are prime numbers, which, when reversed, are also prime.
Puzzle 7
What number comes next in this sequence:
1 8 9 64 25 216 49 ?
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Hint
Think of squares and cubes.
Answer
512.
Each term alternates between a square and a cube, 8 3 = 512.
