Brain Teasers
A Misinformed Liar Tells No Lies
Three friends, Allie, Kaleb, and Leah have 3 different actions whenever they come across potentially new information.
The first is a Scientist, they are always correct about which statements are true and will always tell the truth.
The second is a Psychologist, they like to test people by lying and seeing their reactions, however they are misinformed. This means that they will receive a false statement, think it is true, and lie about it.
The last is a Lapidary, they will always try to tell the truth, but they are also misinformed.
They receive information (or misinformation) about each other's behaviors and make the following statements:
Kaleb: Leah is misinformed
Allie: I am not misinformed
Leah: Allie is the Psychologist
Who is who?
The first is a Scientist, they are always correct about which statements are true and will always tell the truth.
The second is a Psychologist, they like to test people by lying and seeing their reactions, however they are misinformed. This means that they will receive a false statement, think it is true, and lie about it.
The last is a Lapidary, they will always try to tell the truth, but they are also misinformed.
They receive information (or misinformation) about each other's behaviors and make the following statements:
Kaleb: Leah is misinformed
Allie: I am not misinformed
Leah: Allie is the Psychologist
Who is who?
Hint
The Psychologist ends up telling the truth and the Lapidary ends up lying.Answer
Allie is the Scientist.Kaleb is the Psychologist.
Leah is the Lapidary.
Allie cannot be the Psychologist because the Psychologist would say they were misinformed.
Leah cannot be the Scientist because Allie isn't the Psychologist.
Kaleb cannot be the Lapidary because Leah is misinformed and the Lapidary would think Leah isn't misinformed and say that.
This leaves the scenarios:
Kaleb Scientist
Allie Lapidary
Leah Psychologist
and
Kaleb Psychologist
Allie Scientist
Leah Lapidary
Since the Psychologist cannot say someone else is the Psychologist (That would mean there's more than 1), the answer must be:
Allie is the Scientist.
Kaleb is the Psychologist.
Leah is the Lapidary.
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