Anne, Bernice and Claudia are three remarkable women, each having some remarkable characteristics.

(1) Just two are intelligent, just two are beautiful, just two are artistic and just two are rich.
(2) No one has more than three characteristics.
(3) Of Anne it is true that : if she is intelligent, she is rich.
(4) Of Bernice and Claudia it is true that: if she is beautiful, she is artistic.
(5) Of Anne and Claudia it is true that: if she is rich, she is artistic.

Who is not rich? (Show your reasoning)

3) Anne is Rich but not Intelligent
4) Claudia is beautiful, therefore, she is artistic
4) Bernice is not beautful, therefore, she is not artistic
5) Anne is Rich, therefore, she is artistic
5) Claudia is artistic but not rich

It leaves me with.
Ann is.... Rich but not intelligent, Artistic because she is rich, beautiful because bernice is not.
Bernice is....not artistic (must be rich because claudia is not), (must be intelligent because Anne is not),  (can not be beautful because it will make her artistic)
Claudia is not rich, and is artistic, (must be intelligent), (must be beautiful because bernice is not)

Concluding,

Anne is Rich, Artistic, and Beautiful
Bernice is Rich and Intelligent
Claudia is Beautiful, Artistic and Intelligent

So, Claudia is not Rich.

Posted by wes yang on 2005-06-22 17:14:42