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What is the minimum number of conditions to be checked?

On a table there are four papers, one with the letter X written on top, one with the letter Y written on top, one with the number 1 written on top, and one with the number 2 written on top. Every paper has one of those letters on one side and one of those numbers on the other side. To prove that a paper with the letter x contains even number on the other side, what is the minimum number of conditions we have to check?

asked Nov 3, 2015 by Gaurav
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