Investigate the validity of each of the following arguments:
a. All squares are quadrilaterals.
All quadrilaterals are polygons.
Conclusion: All squares are polygons.
b. All teachers are intelligent.
Some teachers are rich.
Conclusion: Some intelligent people are rich.
c. If a student is a freshman, then the student takes mathematics.
Jane is a sophomore.
Conclusion: Jane does not take mathematics.
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