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What's My Number?

Puzzle 11

Difficulty:
Fun:
(based on 6 votes)

I am thinking of a whole number between 1 and 20, inclusive.
  • If my number leaves a remainder greater than 2 when divided by 6, then it leaves a remainder less than 2 when divided by 5. Otherwise, my number leaves a remainder greater than 3 when divided by 7.
  • If the majority of the numbers that fit the above requirement are even, then my number is less than 12. Otherwise, my number is odd.
  • If my number is greater then 7, then it is the multiple of two prime numbers. Otherwise, my number is square.

What is my number?

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