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Chapter 1: Problem 63

One person tells the truth on Monday, Tuesday, Wednesday, and Thursday, but lies on all other days. A second person lies on Tuesday, Wednesday, and Thursday, but tells the truth on all other days. If both people state "I lied yesterday," then what day of the week is it today?

Short Answer

Expert verified
The day of the week is Thursday.

Step by step solution

01

Analyze statements by person one

Person one tells the truth on Monday to Thursday, and lies on Friday, Saturday, and Sunday. Therefore, when this person says 'I lied yesterday', it to be a day between Tuesday and Friday.
02

Analyze statements by person two

Person two tells the truth on Monday, Friday, Saturday, and Sunday, and lies on Tuesday to Thursday. When this person says 'I lied yesterday', it has to be a day between Wednesday and Sunday.
03

Find the common day

After analyzing the statements of both persons, it's clear that the only common day where both could truthfully say 'I lied yesterday' is Thursday. So, the answer is Thursday.

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