Puzzle 17
Can you find a 5-digit number …
… whose digits add up to 18 and whose product is 210 and the digits increase from left to right in the number?
Puzzle Copyright © Kevin Stone
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Hint
Break down 210 into its factors.
Answer
12357.
Reasoning
Since 210 = 2 x 3 x 5 x 7, 12357 is the only way to get a 5-digit number, in ascending order.
Puzzle 18
Which is larger, the number of seconds in a week …
… or the number of minutes in a year?
Puzzle Copyright © Kevin Stone
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Hint
There are 60 seconds in a minute, and 60 minutes in an hour.
Answer
Seconds in a week.
Reasoning
There are 60 x 60 x 24 x 7 = 604,800 seconds in a week.
There are 60 x 24 x 365 = 525,600 minutes in a (non-leap) year.
Puzzle 19
Would you believe that this amazing sentence contains ninety two letters, one comma and a single question mark?
Puzzle Copyright © Kevin Stone
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Hint
The question is a true statement.
Answer
This is not really a puzzle, merely a curious piece of text.
Puzzle 20
What three-letter word best completes these words?
c---on
he---
e---h
m---yr
qu---er
st---
Puzzle Copyright © Kevin Stone
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Hint
The word ends with the letter T.
Answer
Art.
c---on = carton
he--- = heart
e---h = earth
m---yr = martyr
qu---er = quarter
st--- = start