Guesswork
Number Theory
Level
2
There is a number I have in mind. It could be a multiple of 2, 3, and 4, but I will tell you that it is a multiple of only 2 of those numbers.
The same number that I'm thinking of must be a multiple of:
6
9
4
3
8
2
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The number can't be a multiple of only 4 and 3 since then it would also be a multiple of 2. So, it is either a multiple of 2 and 3 or 3 and 4. Therefore it is definitely a multiple of 2 . Because 3 and 4 are coprime, we can't draw any further conclusions.