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What's My Number?

Puzzle 1

Difficulty:
Fun:
(based on 1027 votes)

I am thinking of a whole number between 1 and 20, inclusive.
  • If my number is less than 10, then it is even.
  • If my number is not divisible by 3, then it is prime.
  • If my number is not a factor of 60, then it is a factor of 102.
  • If my number, divided by 7, leaves a remainder greater than 4, then my number is greater than 14.
  • If one less than my number is a square number, then the reciprocal of my number is less than 3/7.
  • If one more than my number is a square number, then my number is not divisible by 5.

What is my number?

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