Counting You Should Know

Count the number of triangles in the picture below:

Counting You Should Know




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A lion and its tamer are standing inside a cage that measures 1 unit in radius. Both of them can effortlessly run at the speed of 1 unit maximum.

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At the local model boat club, four friends were talking about their boats.

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If,
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Based on similar logic, Can you prove that the below algebraic equation is true?
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Can you fill the blank with the correct number?

6 30 870 756030 _____

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In a rainy season, one day 3 huge ladies walked under a normal-sized umbrella.
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There is a cryptic organization called Cicada 3301 that posts challenging puzzles online, possibly to recruit codebreakers and linguists.