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Puzzle 1
This year, Farmer Stone's harvest of apples was quite significant.
He decided to donate some 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.
Hint
There are more than 37, look at the different sizes.
Answer
There are 64 hexagon-type shapes in total.
Reasoning
37 single hexagons
+ 19 hexagons that contain 7 smaller hexagons
+ 7 hexagons that contain 19 smaller hexagons
+ 1 large hexagon that contains all of the smaller hexagons.
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Puzzle 3
Using a tap, a nine gallon container and a four gallon container …
Hint
Start by filling the 9 gallon container, and then use that to fill the 4 gallon container.
Answer
Here are the contents of the containers after each stage:
A B
9 0 fill A
5 4 fill B from A
5 0 empty B
1 4 fill B from A
1 0 empty B
0 1 fill B from A
9 1 fill A
6 4 fill B from A
6 0 empty B
This leaves 6 gallons in container A.
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Puzzle 4
Can you find the country hidden in the following sentence:
A popular newspaper printed part of a page that pointed out that port officials use a pencil, not a pen, when they prepare paper updates to their port reports.
A popular newspaper printed part of a page that pointed out that port officials use a pencil, not a pen, when they prepare paPER Updates to their port reports.
It is now four years since I first asked for support, and I would like to sincerely thank everyone who has helped me. BrainBashers doesn't show adverts, and I continue to depend on the ongoing support from everyone who enjoys the site.
