Puzzle 2
This year, Farmer Stone's harvest of apples was quite significant.
He decided to donate some of the apples to the local community, 1,672 people in all.
Every person aged 50 or more received 16 apples, and every person under 50 received 96 apples.
Only 3/4 of the over 50s collected their apples, and only 1/8 of the under 50s collected theirs.
How many apples did the farmer give away?
Puzzle Copyright © Kevin Stone
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Hint
Try a random number of over 50s to see what happens.
Answer
20,064 apples.
Reasoning
It doesn't matter how old the people are.
As only 3/4 of the over 50s claimed 16 apples, this averages out to 12 apples each.
Similarly, only 1/8 of the under 50s claimed 96 apples, this again averages out to be 12 apples each.
Therefore, the total number of apples was 1,672 x 12 = 20,064.
Puzzle 3
What is the only number not found in the Roman numerals system?
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Puzzle 4
What number comes next in this sequence:
302 · 202 · 102 · 002 · 991 · ?
Puzzle Copyright © Kevin Stone
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Hint
Try reversing the numbers.
Answer
891.
If we reverse each of the numbers we get:
203 · 202 · 201 · 200 · 199 · ?
Which is counting down from 203, and the next number is 198, which is 891 when reversed.
