Puzzle 1
Which is larger:
millimetres in a mile
sixteenths of an inch in 2 kilometres
Puzzle Copyright © Kevin Stone
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Answer
Millimetres in a mile.
Reasoning
One inch = 25.4mm.
So:
1 mile = 1760 yards = 1760 x 3 feet = 1760 x 3 x 12 inches = 1760 x 3 x 12 x 25.4 millimetres = 1,609,344 mm in 1 mile.
And:
2 kilometres = 2000 metres = 2000 x 100 centimetre = 2000 x 100 x 10 millimetres = 2000 x 100 x 10 ÷ 25.4 inches = 2000 x 100 x 10 ÷ 25.4 x 16 = sixteenths of an inch ≈ 1,259,843 sixteenths of an inch in 2 kilometres.
Puzzle 2
Richard, Kevin, and James like coffee …
… Andrew, Anne, and John don't.
Does Simon like coffee?
Puzzle Copyright © Kevin Stone
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Hint
Look at the number of letters in each name.
Answer
Yes.
Because there is an odd number of letters in the name.
Puzzle 3
What number comes next in this sequence:
31 · 30 · 31 · 31 · ?
Clue: the answer is NOT 30!
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Hint
Does it start with January?
Answer
28.
The number of days in each month starting from October. The answer could also be 29 for a leap year.
The answer can't be 30, as the question specifically says that the answer is not 30, so it can't be the sequence starting with May.
Puzzle 4
What are the next two numbers in this sequence:
202 · 122 · 232 · 425 · 262 · 728 · ? · ?
Puzzle Copyright © Kevin Stone
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Answer
293 031: these are the numbers 20, 21, 22, 23 etc grouped into three digits.
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