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Detective's Notebook:
A LOGIC PUZZLE
Reginald Eastlake was murdered last night.
The killer must be one of four suspects: Madame
D., Professor Q., Doctor L., and Mister E. Although
one is guilty of murder, each of them have a secret. In no
particular order, one is a bankrobber, another a blackmailer,
a third is a forger, and the fourth is an FBI informant.
The suspects all know each other's secrets,
and made the following statements. However:
All of the killer's statements are lies.
All of the FBI informant's statements are
true. (therefore the informant is NOT the killer).
One and only one of the suspects is insane,
and alternately lies and tells the truth (or tells the truth
and lies). The insane suspect is not the killer, and is not
the FBI informant.
Madame D.
The other woman is insane.
Professor Q.
That's true.
Doctor L.
I am not the killer.
Mister E.
I am not the killer.
Madame D.
Mister E. is the blackmailer.
Professor Q.
Doctor L. is the blackmailer.
Doctor L.
I am the blackmailer.
Mister E.
I am the blackmailer.
Professor Q.
I am a woman.
Doctor L.
I am a woman.
Mister E.
The killer is a man.
Madame D.
I am the FBI informant.
Doctor L.
She's lying.
Mister E.
All of my statements have been true.
Who is the killer?
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