Puzzle 1
Can you find three consecutive prime numbers …
… which total 190,747 when multiplied together?
Puzzle Copyright © Kevin Stone
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Hint
Try finding the cube root of 190,747.
Answer
53, 59, and 61.
Reasoning
Start by taking the cube root of 190,747, which is approximately 57.56.
The next highest prime number is 59:
190,747 ÷ 59 = 3,233
Let's try the next prime number, which is 61:
3,233 ÷ 61 = 53
53, 59, and 61, are all prime, and are consecutive, so this is the answer.
Double-Checking
53 x 59 x 61 = 190,747
Puzzle 2
Look at the following sentence once, and once only. How many times can you find the letter F?
Furry foxes of far origin often come of age far before scientific study forecasts.
Puzzle Copyright © Kevin Stone
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Answer
There are 10 letter Fs.
Sometimes the F in 'of' aren't always counted.
Puzzle 3
If:
SAFE + STAY + SOON + SKIP = STOP
then:
PINK + PORE + PUSH + PLOT = ?
Puzzle Copyright © Kevin Stone
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Hint
Where do the letters of STOP occur in SAFE, STAY, SOON, SKIP?
Answer
POST.
Using the first letter of the first word, the second letter of the second word, etc.
Puzzle 4
If …
7/28 of 64 is 16,
and 9/12 of 100 is 75,
and 3/9 of 33 is 11,
what is 5/15 of 45?
Puzzle Copyright © Kevin Stone
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Hint
This puzzle is perhaps easier than it first appears.
Answer
15.
Using normal mathematics!
5/15 of 45 = 1/3 of 45 = 15.