Question 31
Decide T (necessarily follows) or F (not established); F does not automatically mean the opposite is proved. a. John hates football. All children in the playground play football except when it rains. None of the children play golf or basketball. All teachers play golf. John is a child. Therefore John plays football except when it rains, but not basketball. b. One hundred people ran a race. Everyone who finished received a medal. Anthea received no medal. Jane ran and received a medal. Philip did not run and received no medal. Therefore Anthea did not run. c. The pictured pyramid takes up half the volume of its rectangular block. For c, explicitly model the pyramid as having the entire bottom face as base and an apex on the top face.
