Magic Apple

There are 20 people in an empty, square room. Each person has full sight of the entire room and everyone in it without turning his head or body, or moving in any way (other than the eyes). Where can you place an apple so that all but one person can see it?




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Of only one of the following statements, we now certainly know it is correct:

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10 people came into a hotel with 9 rooms and each guest wanted his own room. The bellboy solved this problem.
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What is the probability of choosing the correct answer at random from the options below?

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Using eight eights and addition only, can you make 1000?

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1 dollar = 100 cent
= 10 cent x 10 cent
= 1/10 dollar x 1/10 dollar
= 1/100 dollar
= 1 cent

=> 1 dollar = 1 cent

solve this tricky problem?

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Challenging

There is a cryptic organization called Cicada 3301 that posts challenging puzzles online, possibly to recruit codebreakers and linguists.