Puzzle 197
What number comes next in this sequence:
1 2 6 24 120 {?}
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Answer
720.
Each term is a factorial, 6! = 1 x 2 x 3 x 4 x 5 x 6 = 720.
Puzzle 198
Which is the odd one out:
CAT DOG GOLDFISH HAMSTER COW
Puzzle Copyright © Kevin Stone
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Hint
This is nothing to do with pets.
Answer
Goldfish.
All of the others are mammals. If you suggested Cow I will let you have half a mark!
Puzzle 199
Alex Smith was born on December 25th, 1971, yet their birthday is always in the summer.
How is this possible?
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Hint
They can't have been born in the USA then.
Answer
They live in Australia, but they could have been born anywhere South of the equator, where the seasons are reversed.
Puzzle 200
Can you find three consecutive prime numbers …
… that equal 409,457 when multiplied together?
Puzzle Copyright © Kevin Stone
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Hint
The cube root of the given number is a good starting point.
Answer
71, 73, 79.
Reasoning
The cube root of 409,457 is around 74.
The closest consecutive prime numbers to 74 are: 61, 67, 71, 73, 79, 83, 89, 97.
Using a calculator, it is quickly seen that the answer can only be found using 71, 73 and 79.
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