Puzzle 1
This statement is false.
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Answer
This puzzle is a classic paradox. You can wrangle with the logic for hours and never reach an absolute conclusion.
Puzzle 2
Can you find three consecutive odd numbers that …
… total 7,644,585 when multiplied together?
Puzzle Copyright © Kevin Stone
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Hint
Try starting with the cube root of the number.
Answer
195 x 197 x 199.
Reasoning
Since we're after three numbers that multiply together, a good place to start is the cube root of 7,644,585, which is roughly 196.99.
Let's try dividing by the closest odd number to 196.99:
7644585 ÷ 197 = 38805
We're now after whole divisors of 38,805, so trying either odd number either side of 197 might work.
Trying either 195 or 199 gives the answer.
Double-Checking
195 x 197 x 199 = 7,644,585
Note
Trying the closest odd number to the cube root always works, and the other two numbers are the odd numbers either side.
Puzzle 4
Which word comes next in this sequence:
India · Victor · X-Ray · Lima · Charlie · ?
Puzzle Copyright © Kevin Stone
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Hint
Think of Roman numerals.
Answer
Delta.
Take the Roman numerals in sequence, and convert to the phonetic alphabet.
1 = I = India
5 = V = Victor
10 = X = X-Ray
50 = L = Lima
100 = C = Charlie
500 = D = Delta
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