Stan tells lies on Fridays, Saturdays, and Sundays. He tells the truth on all the other days of the week. Fred tells lies on Tuesdays, Wednesdays, and Thursdays. He tells the truth on all the other days of the week. If both Stan and Fred say, "Yesterday I lied," then what day is it today

Question

17-06-2024
Mathematics

Answered

Stan tells lies on Fridays, Saturdays, and Sundays. He tells the truth on all the other days of the week. Fred tells lies on Tuesdays, Wednesdays, and Thursdays. He tells the truth on all the other days of the week. If both Stan and Fred say, "Yesterday I lied," then what day is it today

Answer :

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chibabykalu16 chibabykalu16 · Answer 1 · 2024-06-17T23:13:05-04:00

Answer:

On Friday, Stan said "Yesterday, I lied" which is true based on the fact that he lied about saying the truth yesterday while, Fren said "Yesterday, I lied" which is true because he's saying the truth about what happened on Thursday

Step-by-step explanation:

Given:

Stan's Pattern
Lies on: Friday, Saturday, Sunday
Tells the truth on Monday, Tuesday, Wednesday, and Thursday
Fred's Pattern
Lies on: Tuesday, Wednesday, Thursday
Tells the truth on Friday, Saturday, Sunday, and Monday

Let's validate each scenario

Monday

Stan (truth) ➜ Yesterday was Sunday (he lied)

Fred (truth) ➜ Yesterday was Sunday (he told the truth)

Fred contradicts himself

Tuesday

Stan (truth) ➜ Yesterday was Monday (he told the truth)

Fred (lie) ➜ Yesterday was Monday (he told the truth)

Fred contradicts himself

Wednesday

Stan (truth) ➜ Yesterday was Tuesday (he told the truth)

Fred (lie) ➜ Yesterday was Tuesday (he lied)

Stan contradicts himself

Thursday

Stan (truth) ➜ Yesterday was Wednesday (he told the truth)

Fred (lie) ➜ Yesterday was Wednesday (he lied)

Stan contradicts himself

Friday

Stan (lie) ➜ Yesterday was Thursday (he told the truth)

Fred (truth) ➜ Yesterday was Thursday (he lied)

Valid - both statements are consistent

Saturday

Stan (lie) ➜ Yesterday was Friday (he lied)

Fred (truth) ➜ Yesterday was Friday (he told the truth)

Fred contradicts himself

Sunday

Stan (lie) ➜ Yesterday was Saturday (he lied)

Fred (truth) ➜ Yesterday was Saturday (he told the truth)

Fred contradicts himself

The only valid day where both Stan and Fred can say, "Yesterday I lied," and their statements are consistent is Friday.