Have Space but no Room

You may enter, but you may not come in. I have space, but no room. I have keys, but open no lock. What am I?




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You see a mathematical expression in the picture. Can you think of a movie that this expression refers to?

Movie in Maths

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A detective visits his friend John just to discover that John's neighbour Dr Jacob was murdered. Dr Jacob, who is a mathematician wrote the murderer's name in a code word "Hcqtfz". There were five suspects
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The Detective was instantly able to find the murderer.
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In a basket of apples,
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when counted in threes, there were two extra when counted in fours, there were three extra
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There are people and strange monkeys on this island, and you can not tell who is who (Edit: until you understand what they said - see below). They speak either only the truth or only lies.
Who are the following two guys?
A: B is a lying monkey. I am human.
B: A is telling the truth.

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Amazing Facts

Gambling

In Canada, a mathematical puzzle must be solved in order to win the lottery to classify it as a “game of skill” not gambling.