On a little-known remote island, people who are convicted of certain crimes are put to death by one of two methods. Before it happens, they are given the opportunity to make a final statement. The judges then work out whether the statement is true or false. If true, the person would be electrocuted. If the person was lying, he would be hanged.
Sid is convicted and sentenced to death under this ritual. But by his words, he makes it impossible for them to carry out the execution. What does Sid say?
You have a set of 27 marbles. They all look and feel the same, and all of them weigh the same except for one that is slightly heavier.
Using a set of balance scales, how can you pick out the heavier marble in the smallest number of weighings?
Move four matches to leave two squares.
Starting with the same pattern, add four matches to make ten squares.
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