Puzzle 17
What number is …
… three-quarters of eight-ninths of one-half of 2001?
Puzzle Copyright © Kevin Stone
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Hint
Can the fractions be simplified?
Answer
667.
Reasoning
3 8 1
— of — of — of 2001
4 9 2
which simplifies to:
24
—— of 2001
72
which simplifies to:
1
— of 2001
3
Giving 667.
Puzzle 18
Can you find the number that best completes this puzzle?
Puzzle Copyright © Kevin Stone
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Hint
The answer involves a square root.
Answer
4.
The middle of each triangle contains the square root of the sum of the three surrounding numbers.
Puzzle 19
Someone purchases 1 for 38p, 23 for 76p and 102 for £1.14.
What are they buying?
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Hint
3,876 would cost £1.52.
Answer
House numbers at 38p each.
Puzzle 20
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.
