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AMC logic

Source: AMC 10b Problem 11

November 17, 2022
AMCAMC 10AMC 10 B

Problem Statement

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”?
(<spanclass=latexbold>A</span>)(<span class='latex-bold'>A</span>) All schools smaller than Euclid HS sold fewer T-shirts than Euclid HS. (<spanclass=latexbold>B</span>)(<span class='latex-bold'>B</span>) No school that sold more T-shirts than Euclid HS is bigger than Euclid HS. (<spanclass=latexbold>C</span>)(<span class='latex-bold'>C</span>) All schools bigger than Euclid HS sold fewer T-shirts than Euclid HS. (<spanclass=latexbold>D</span>)(<span class='latex-bold'>D</span>) All schools that sold fewer T-shirts than Euclid HS are smaller than Euclid HS. (<spanclass=latexbold>E</span>)(<span class='latex-bold'>E</span>) All schools smaller than Euclid HS sold more T-shirts than Euclid HS.