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What's My Number?

Puzzle 3

Difficulty:
Fun:
(based on 49 votes)

I am thinking of a whole number between 1 and 20, inclusive.
  • Either my number is greater than the hypotenuse of a right triangle with sides of 5 and 12, or it is less than the diameter of a circle with an area of 48.
  • My number is less than the longest possible side of a triangle with sides of 7 and 11, and greater than the shortest possible side of the same triangle.
  • My number is either odd or a multiple of five, but not both.
  • My number is the smaller of the two numbers that fit all of the above requirements.

What is my number?

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