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What's My Number?

Puzzle 4

Difficulty:
Fun:
(based on 36 votes)

I am thinking of a whole number between 1 and 20, inclusive.
  • If my number is even, then it is also a multiple of 3.
  • If my number is not a multiple of 3, then it is greater than the length of the diagonal of a square with an area of 81.
  • If my number is not greater than the length of the diagonal of a square with an area of 81, then it is square.
  • If my number is not square, then it is one greater than a multiple of 5.

What is my number?

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