BrainBashers - Random Puzzles

Puzzle 5

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?

Line showing dots at the distances.

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Puzzle 6

A 'complete' word is a word in which every letter, in turn, can be replaced by another to form a new word.

For example, RUG is a complete word because:
-ug = hug
r-g = rig
ru- = run

How many of the following words are not complete words? Proper nouns and names are not allowed.
hard port duck bugs bail mast thin lean fire read

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Puzzle 7

Using a 3 gallon container and a 7 gallon container (along with a water source and drain) …

… can you measure exactly 5 gallons in the fewest steps?

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Puzzle 8

I was travelling from Chesterton to Newcastle recently when I came across a sign which had fallen off its post at the crossroads.

It was marked to Newcastle, Chesterton, Knutton and Silverdale.

Unfortunately I didn't know which road to take to Newcastle and had hoped the sign would help.

Luckily I had a brainwave which helped me put the sign back pointing correctly to Newcastle.

What was my idea?

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