1. In a far away land there are exactly two types of people: The 'Liars' and the Truth tellers. Every statement that a 'Liar' says is a lie (without exceptions). Every statement that a "Truth teller' says is the truth (without exceptions). Solve the following problems and prove your solutions. a. Traveling in this land you meet two people, Don and Roy. Don says: "I am a 'Liar' or Roy is a 'Truth teller'". Which type of people Don and Roy are? b. In the same land you meet three new people, A, B and C. A says: "B is a 'Liar". B says: "A and C are of the same type". Which type of person C is? c. Again in this land you meet two new people, Sara and Jane. Sara says: "If Jane is a 'Truth Teller' then I am a 'Liar'". Which type of people Sara and Jane are? d. In the same land you meet a guy named Michael. Michael says: "I am a 'Truth Teller' if and only if I am wearing a hat". Is Michael wearing a hat?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1. In a far away land there are exactly two types of people: The 'Liars' and
the Truth tellers. Every statement that a 'Liar' says is a lie (without
exceptions). Every statement that a "Truth teller' says is the truth (without
exceptions). Solve the following problems and prove your solutions.
a. Traveling in this land you meet two people, Don and Roy. Don says: "I
am a 'Liar' or Roy is a 'Truth teller'". Which type of people Don and
Roy are?
b. In the same land you meet three new people, A, B and C. A says: "B
is a 'Liar". B says: "A and Care of the same type". Which type of
person C is?
c. Again in this land you meet two new people, Sara and Jane. Sara says:
"If Jane is a 'Truth Teller' then I am a 'Liar'". Which type of people
Sara and Jane are?
d. In the same land you meet a guy named Michael. Michael says: "I am
a 'Truth Teller' if and only if I am wearing a hat". Is Michael wearing
a hat?
Transcribed Image Text:1. In a far away land there are exactly two types of people: The 'Liars' and the Truth tellers. Every statement that a 'Liar' says is a lie (without exceptions). Every statement that a "Truth teller' says is the truth (without exceptions). Solve the following problems and prove your solutions. a. Traveling in this land you meet two people, Don and Roy. Don says: "I am a 'Liar' or Roy is a 'Truth teller'". Which type of people Don and Roy are? b. In the same land you meet three new people, A, B and C. A says: "B is a 'Liar". B says: "A and Care of the same type". Which type of person C is? c. Again in this land you meet two new people, Sara and Jane. Sara says: "If Jane is a 'Truth Teller' then I am a 'Liar'". Which type of people Sara and Jane are? d. In the same land you meet a guy named Michael. Michael says: "I am a 'Truth Teller' if and only if I am wearing a hat". Is Michael wearing a hat?
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