Puzzle 297
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 298
Which pair of letters comes next in this sequence:
on · et · wo · th · re · ef · ou · ?
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Hint
Try removing the spaces.
Answer
rf.
This sequence spells out the numbers onetwothreefourfive etc.
Puzzle 299
At a recent BrainBashers party, I noted the ages of the children who attended.
Billie was 3, James and Keith were 4, Frankie and Rebecca were 5.
How old was Lara?
Puzzle Copyright © Kevin Stone
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Hint
Look at the vowels (AEIOU).
Answer
2.
Consonants are worth 2 and vowels (AEIOU) are worth − 1.
Puzzle 300
What word completes this square:
ferret rabbit
otter ?
Choose from:
giraffe, mink, cow, bison
Puzzle Copyright © Kevin Stone
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Hint
Look at the first letters of the three words.
Answer
Giraffe.
The initial letters of the words spell FROG.