Puzzle 765
What is the next number in this sequence:
0 0 1 2 2 4 3 6 4 8 5 {?}
Puzzle Copyright © Kevin Stone
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Hint
There are two merged sequences.
Answer
10.
Reasoning
There are two sequences mixed together.
0 1 2 3 4 5
and
0 2 4 6 8 {?}
Puzzle 766
Using a tap, a container of 9 litres and a container of 4 litres...
...can you measure 6 litres?
Puzzle Copyright © Kevin Stone
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Hint
Fill the 9-litre container first.
Answer
Here are the contents of the containers after each stage:
A = 9 litres, B = 4 litres
A B
9 0 fill A
5 4 fill B from A (leaving 5 litres in A)
5 0 empty B
1 4 fill B from A (leaving 1 litre in A)
1 0 empty B
0 1 fill B from A
9 1 fill A
6 4 fill B from A (only 3 more litres fit in B)
6 0 empty B
This leaves 6 litres in container A.
Puzzle 767
How far can...
...a horse run into a forest?
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Hint
Some might argue that this isn't a puzzle.
Answer
Half way — after which it would be running out!
Puzzle 768
Two explorers went wandering one day, one mile south, then one mile east, then one mile north, and they were back where they started.
What colour was the bear that was eating their sandwiches?
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Hint
Where on Earth can you end up back where you start?
Answer
White.
They were at the north pole and saw a polar bear.
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