Puzzle 829
As oou oan oee, oy poinoer oepoacos eoero thord oetoer oito tho leoteo 'o'.
How mony oifoeront oetoero haoe boen oepoacod?
Puzzle Copyright © Kevin Stone
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Hint
Something's wrong with the letter O, and the word 'oifoeront' is important to the answer.
Answer
15 different letters: acdefhilmrstvwy.
Reasoning
The sentences should read:
As you can see, my printer replaces every third letter with the letter 'o'.
How many different letters have been replaced?
Puzzle 830
I travelled from London to Glasgow last week at 60 miles per hour, I had filled my petrol tank just before I left, so it was full with 25 gallons.
Unfortunately, my petrol tank sprang a leak immediately, and I only managed to drive 300 miles before I ran out of petrol.
My car does 30 miles per gallon, how fast was I losing petrol through the hole?
Puzzle Copyright © Kevin Stone
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Hint
How much petrol was used for the journey itself?
Answer
3 gallons each hour.
Reasoning
I drove 300 miles at 30 miles per gallon, so I used 10 gallons. Which means I lost the other 15 gallons.
I drove the 300 miles at 60mph, which took me 5 hours.
So I lost 15 gallons of petrol in 5 hours = 3 gallons per hour.
Puzzle 831
What number comes next in this sequence:
2 · 5 · 9 · 19 · 37 · ?
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Hint
The sequence involves doubling in some way.
Answer
75.
Alternately double plus one, double minus one.
Puzzle 832
At the local mid-summers fayre, four ladies are planning to delight the visitors with their speciality cakes.
Mrs Archer will make a chocolate cake.
Neither Mrs Bowness, Louise nor Kay Cook propose to make a vanilla cake.
Julie, who is not Mrs Dancer, will make coffee.
Mary will not make a plain one.
You need to find their full names and who plans to make which cake.
Puzzle Copyright © Kevin Stone
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Hint
Mary's name is Dancer.
Answer
Louise Archer will make the chocolate cake.
Julie Bowness will make the coffee cake.
Kay Cook will make the plain cake.
Mary Dancer will make the vanilla cake.
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