Brain Teasers
4 Grades
Just before the end of the term four high school students were discussing their chances for certain grades. The following remarks contain the gist of their hopes and fears.
Jack: We'll all get different grades. If I get an A, then Lucy will get a D.
Jean: If Lucy gets a C, then Jack will get a D. Jack will get a better grade than Paul.
Lucy: If Jean doesn't get an A, then Jack will get a C. If I get a B, then Paul won't get a D.
Paul: If Lucy gets an A, then I'll get a B. if Jean doesn't get a B, I won't either.
When the final examinations were graded and the term marks made out each of the four passed, and strange as it may seem, each received a grade that checked exactly with all the ideas they had previously expressed.
What grade did each receive?
Jack: We'll all get different grades. If I get an A, then Lucy will get a D.
Jean: If Lucy gets a C, then Jack will get a D. Jack will get a better grade than Paul.
Lucy: If Jean doesn't get an A, then Jack will get a C. If I get a B, then Paul won't get a D.
Paul: If Lucy gets an A, then I'll get a B. if Jean doesn't get a B, I won't either.
When the final examinations were graded and the term marks made out each of the four passed, and strange as it may seem, each received a grade that checked exactly with all the ideas they had previously expressed.
What grade did each receive?
Answer
Jack, Jean, Lucy, and Paul received B, A, D, and C, respectively.Hide Answer Show Answer
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Comments
Cool
i don't like to solve these problems sometimes because in situations like this i have a very short attention span
Nice work!!! Although a bit on the easy side, it was fun to figure it out.
Aug 16, 2010
The first line said if Jack got an A, Lucy would get a D. Lucy did get a D, but Jack received a B... Did I miss something?
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