Q5. We remember that a knight is a person who always tells the truth, and a knave is a person who always lies. When we say that two people are of the same type, it means that they are both knights or both knaves. When they are said to be of different types, it means that one of them is a knight and the other is a knave. You meet two people, A and B. A said: "If B is a knave, then I am a knight." B says, "A and I are different types" What are the identities of A and B? A. A is a knight and B is a knight. B. A is a knight and B is a knave. C. A is knave and B is knight. D. A is knave and B is knave. E. It is impossible to determine the identity of A and B. F. none of the above

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Q5. We remember that a knight is a person who always tells the truth, and a knave is a
person who always lies. When we say that two people are of the same type, it means
that they are both knights or both knaves. When they are said to be of different types,
it means that one of them is a knight and the other is a knave. You meet two people,
A and B.
A said: "If B is a knave, then I am a knight."
B says, "A and I are different types"
What are the identities of A and B?
A. A is a knight and B is a knight.
B. A is a knight and B is a knave.
C. A is knave and B is knight.
D. A is knave and B is knave.
E. It is impossible to determine the identity of A and B.
F. none of the above
Transcribed Image Text:Q5. We remember that a knight is a person who always tells the truth, and a knave is a person who always lies. When we say that two people are of the same type, it means that they are both knights or both knaves. When they are said to be of different types, it means that one of them is a knight and the other is a knave. You meet two people, A and B. A said: "If B is a knave, then I am a knight." B says, "A and I are different types" What are the identities of A and B? A. A is a knight and B is a knight. B. A is a knight and B is a knave. C. A is knave and B is knight. D. A is knave and B is knave. E. It is impossible to determine the identity of A and B. F. none of the above
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