2022 AMC 10 B

Complete problem set with solutions and individual problem pages

Problem 11 Easy

All the high schools in a large school district are involved in a fundraiser selling T-shirts. Which of the choices below is logically equivalent to the statement "No school bigger than Euclid HS sold more T-shirts than Euclid HS"?

A.
All schools smaller than Euclid HS sold fewer T-shirts than Euclid HS.
B.
No school that sold more T-shirts than Euclid is bigger than Euclid HS.
C.
All schools bigger than Euclid HS sold fewer T-shirts than Euclid HS.
D.
All schools that sold fewer T-shirts than Euclid HS are samller than Euclid HS.
E.
All schools smaller than Euclid HS sold more T-shirts than Euclid HS.

Answer:B

In mathematical logics, a contrapositive statement is equivalent to the original statement. We find answer choice is such a statement.