Student Logic
Four students competed in math, logic, French and English contests and are wondering about the outcome.
Jack thinks Paul won the logic award.
Kate thinks Mary won the English award.
Mary thinks Jack did not win the math title.
Paul thinks Kate won the French trophy.
As it turns out, the winners of the French and English contests were wrong, and the winners of the math and logic contests were right.
If each student was awarded, who won which contest?
| Student | Contest |
|---|---|
| Jack | |
| Kate | |
| Mary | |
| Paul |