Hard Number Series Puzzle

What number comes next in the series?

5 15 5 18 5 24 14 20 _




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Can you complete the sequence puzzle?

AR TA GE CA LE VI LI _

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Can you think of a smallest +ve number such that if we shuffle the digits of the number, the new number becomes double the original number?

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You are given 16 witch hats. The hats are divided in four different colours – red, blue, green and yellow. Every colour has been assigned to four hats. Now each of the hat will be glued with a label of an arithmetic sign – ‘+’, ‘-‘, ‘x’ or ‘/’. But you can label one sign only once on one colour. In such an arrangement, the hats can be uniquely defined by its colour and symbol.

Can you arrange all the 16 hats in a 4x4 grid in a fashion that no two rows and columns have a repetition of colour or sign?
We have arranged four hats in the below picture to assist you.

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What has six faces, but does not wear makeup, has twenty-one eyes, but cannot see? What is it?

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Use the digits from 1 up to 9 and make 100.

Follow the rules.
=> Each digit should be used only once.
=> You can only use addition.
=> For making a number, two single digits can be combined (for example, 4 and 2 can be combined to form 42 or 24)
=> A fraction can also be made by combining the two single digits (for example, 4 and 2 can be combined to form 4/2 or 2/4)

Question: how can we do this?

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Irene killed hundreds of people mercilessly and yet the police were not able to put her behind the bars. Why?

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The square root of number 121 is "11". What is the square root of the number "12345678987654321."?

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In the 1920s, people feared that crossword puzzles would contribute to illiteracy.