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What's My Number?

Puzzle 7

Difficulty:
Fun:
(based on 19 votes)

I am thinking of a whole number between 1 and 20, inclusive.
  • My number is either less than the smaller possible value of x in the equation 20x-x^2=96 or greater than the larger possible value of x in the same equation.
  • My number is neither less than the smaller possible value of x in the equation 20x-x^2=75 nor greater than the larger possible value of x in the same equation.
  • My number is not a factor of 210.

What is my number?

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