When will the famous five tell the truth?
There are a group of five siblings which have a strange pattern:
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Charles, the oldest child, tells the truth only on Mondays.
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Darius, the second oldest child, tells the truth only on Tuesdays.
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Brenda, the middle child, tells the truth only on Wednesdays.
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Alfred, the second youngest child, tells the truth only on Thursdays.
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Eric, the youngest child, tells the truth only on Fridays.
On which day of the week will you expect ALL of them to say that they will tell the truth the next day?
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1 solution
The only two days all five of them lie are Saturday and Sunday. The day when all of them say that they will tell the truth the next day cannot be any of the weekdays. This is because on any weekday, one of the five siblings tell the truth so this would mean that that person will also tell the truth the following day since the statement "I will tell the truth tomorrow" is true. This is a contradiction as all siblings tell the truth on only ONE day a week.
It follows that the statement must be made during a weekend where all five are lying. This means the statement "I will tell the truth tomorrow" is false for all five siblings. This next day must also be a day when all five lie so the statement must be made on a Saturday, not a Sunday as the following day is a Monday when Charles tells the truth.