perplexus.info :: Liars and Knights : Never on Sunday

Never on Sunday (Posted on 2016-04-21)

One fellow (A) lies only on Mondays, Tuesdays, and Wednesdays, and tells the truth on other days, and his friend (B) lies on Thursdays, Fridays, and Saturdays, and tells the truth on other days.

At noon, they have the following conversation:

A: I lie on Saturdays.

B: I will lie tomorrow.

A: I lie on Sundays.

On which day of the week does this conversation take place?

Adapted from Crux Mathematicorum.

Submitted by Ady TZIDON

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Solution: (Hide)

Answer:
A is lying today. That means it’s not Saturday, but rather Sunday, Monday, Tuesday, or Wednesday. B, who is telling the truth today, says he will lie tomorrow, so today must be Wednesday.
A's 2nd statement, although consistent, is redundant.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Explanation for Puzzle Answer	K Sengupta	2022-02-27 02:13:05
Puzzle Answer	K Sengupta	2022-02-27 02:01:57
Too easy?	tomarken	2016-04-21 08:10:49

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