Puzzle 5
During a recent trip to Scotland, I filled my car's 10 gallon fuel tank to the very top.
I travelled at 60 mph up the motorway, and I knew that I averaged exactly 40 miles per gallon.
However, the moment I started, my fuel tank developed a leak, and four hours later I came to a complete stop as I'd run out of fuel!
How much fuel did I lose through the leak?
Puzzle Copyright © Kevin Stone
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Hint
How far did I travel, and how much fuel did this use?
Answer
I had lost 4 gallons of fuel.
Reasoning
I travelled at 60mph for 4 hours, which is 240 miles.
At 40 miles per gallon this used 6 gallons, which meant the remaining 4 gallons were lost.
Puzzle 6
Which of the shapes is identical to the first one?
There might be more than one.
Puzzle Copyright © Robert A. Hartmann
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Hint
Try to rotate them around in your head, but watch out for mirror images.
Puzzle 7
What number comes next in this sequence:
1 · 4 · 1 · 5 · 9 · 2 · ?
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Hint
The full sequence starts with 3.
Answer
6.
These are the decimal places of π ≈ 3.1415926.
Puzzle 8
Which letter is missing from this sequence:
b · c · e · g · k · q · s · w
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Hint
Convert the letters to positions in the alphabet.
Answer
M.
Reasoning
These are letters that occupy prime number positions in the alphabet:
b = 2
c = 3
e = 5
g = 7
k = 11
m = 13 *
q = 17
s = 19
w = 23
