Statements: True or False?
Logic
Level
2
One of these statements is False:
1.)R
2.)Q
3.)T and R
4.)[P and Q] implies [P xor [P and Q]]
5.)T
6.)P
Which statement is guaranteed false?
The answer is 4.
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1 solution
Statement 4 is false. If P and Q are true, that means either P or P and Q, but not both. P and Q is true, but so is P. Therefore, statement 4 is false. Knowing that, we can infer statements 1, 2, 5, and 6 are true. And since statements 1 and 5 are true, statement 3 must also be true.