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| Truthful days (Posted on 2013-01-31) |
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Michael tells the truth on Sunday, Monday, Wednesday, and Friday, and lies on Tuesday, Thursday, and Saturday. Michelle tells the truth on Sunday, Tuesday, Wednesday, and Saturday, and lies on Monday, Thursday, and Friday. One day, they make the following statements.
Michael:Today is Sunday.
Michelle:Today is Wednesday.
What day is it?
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Submitted by Math Man
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Rating: 2.0000 (1 votes)
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Solution:
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(Hide)
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If it is Sunday, then Michelle cannot lie and say that it is Wednesday. Therefore, it is not Sunday. If it is Wednesday, then Michael cannot lie and say that it is Sunday. Therefore, it is not Wednesday. Since it is neither Sunday nor Wednesday, they are both lying. Therefore, it is Thursday.
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