Puzzle 17
In the local wood there are a number of trees. On these trees there are a number of birds.
A local bird spotter knows that there are as many birds on each tree as there are trees in the wood, and that there are between 2,000 and 2,100 birds in total.
How many trees are there in the wood?
Puzzle Copyright © Kevin Stone
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Hint
The answer involves a square number.
Answer
45 trees.
Reasoning
We are after a number whose square lies between 2,000 and 2,100.
45 is the only possible number.
Puzzle 18
The same three-letter word has been removed from all of these words, leaving the letters below (which are still in the correct order).
What was the three-letter word?
loe
ch
she
er
vae
Puzzle Copyright © Kevin Stone
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Hint
The missing word is in these locations: lo---e, ---ch, s---he, ---er, va---e.
Answer
Cat.
loe = locat e
ch = cat ch
she = scat he
er = cat er
vae = vacat e
Puzzle 19
Are there more …
… 2's or 8's in the numbers from 1 to 50,000?
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Hint
Think about the first digits of the numbers.
Answer
There are more 2's because of the numbers beginning with 20,000.
Puzzle 20
10
100
1,000
10,000
Which number comes after 10,000?
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Hint
Make sure you answer the question asked.
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