Selasa, 26 April 2011

Puzzle 6
You have 12 coins, one of which is fake. The fake coin is indistinguishable from the rest except that it is either heavier or lighter, but you don't know which. Can you determine which is the fake coin and whether it is lighter or heavier using a balance scale and only 3 weighings?
?
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 [Ref: ZLKY]

Difficulty: Easy4 Star RatingPuzzle 7
Dodgy Dave did such a good job of the housing estate, he was asked to paint the room numbers on all of the doors of the fourth floor of the local hotel. He painted all of the numbers from 400 to 499. How many times did he paint the number 4?
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 [Ref: ZULZ] © Kevin Stone [Protected Puzzle]

Difficulty: Medium4 Star RatingPuzzle 8
Practical Peter was asked to cut a 99 foot rope into three smaller, equal length ropes. However, as usual, Pete couldn't find his measuring tape so he guessed!

When he finally did find his tape (it was under his hat), he discovered that the second piece of rope was twice as long as the first piece minus 35 feet. The third piece of rope was half the length of the first, plus 15 feet. How long were each of the pieces of rope?
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 [Ref: ZGCD] © Kevin Stone [Protected Puzzle]

Difficulty: Easy4 Star RatingPuzzle 9
How many squares, of any size, can be found on a standard chess board?

How many rectangles, of any size, can be found on a standard chess board? Remember when counting the rectangles, that squares are also rectangles.
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 [Ref: ZLYW]

Difficulty: Medium4 Star RatingPuzzle 10
Last week I travelled from London to Leeds, which is a distance of 174 miles. I started at 9.15am and completed the journey with an average speed of 40 miles per hour. On the way back, in the evening, I travelled exactly the same route, starting at 5.15pm. The traffic was light and I completed the journey with an average speed of 60 miles per hour. What was the overall average speed for round trip? The answer is not 50 mph.
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