Puzzle 1
Last week, I travelled from London to Stoke.
On the first day, I travelled one half of the distance.
On day two, I travelled one third of the remaining distance.
On day three, I travelled three quarters of the remaining distance.
Yesterday I travelled one half of the remaining distance.
I now have 5 miles left to travel.
How far is it from Stoke to London in total?
Puzzle Copyright © Kevin Stone
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Hint
Try working backwards.
Answer
120 miles.
Reasoning
I now have 5 miles left to travel, so I must have travelled 5 miles yesterday.
At the end of Day 3, I had 10 miles left to travel, so I must have had 40 miles left at the start of the Day 3.
At the end of Day 2, I had 40 miles left to travel, so I must have had 60 miles left at the start of the Day 2.
At the end of Day 1, I had 60 miles left to travel, so I must have had 120 miles left at the start of the Day 1.
Double-Checking
On the Day 1, I travelled 60 miles, leaving 60 miles.
On Day 2, I travelled 20 miles, leaving 40 miles.
On Day 3, I travelled 30 miles, leaving 10 miles.
Yesterday, I travelled 5 miles, leaving 5 miles.
Puzzle 2
Can you decode this well-known saying:
V CCVCCC VC CVCV CVCVC CVCV
Puzzle Copyright © Kevin Stone
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Hint
V represents a vowel (AEIOU).
Answer
A stitch in time saves nine.
Each vowel (AEIOU) is represented by the letter V and each consonant is represented by C.
Puzzle 3
Richard, Kevin, and James like coffee …
… Andrew, Anne, and John don't.
Does Simon like coffee?
Puzzle Copyright © Kevin Stone
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Hint
Look at the number of letters in each name.
Answer
Yes.
Because there is an odd number of letters in the name.
Puzzle 4
Which of the shapes are identical to the first 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.
