AMSCO'S Geometry. New York - Rye High School

Review Exercises 89• Janice is 26, unmarried, and does not smoke.• Peg is 19, unmarried, and smokes.• Sue is 30, unmarried, and smokes.• Sarah is 18, unmarried, and does not smoke.• Laurie is 28, married, and does not smoke.• Pam is 19, married, and smokes.36. Some years after Elmer Megabucks prepared his will, he amended theconditions, by moving a comma, to read: I leave $100,000 to each ofmy nieces who, at the time of my death, is over 21, or unmarried and doesnot smoke. Which nieces described in Exercise 35 will now inherit$100,000?37. At a swim meet, Janice, Kay, and Virginia were the first three finishers of a200-meter backstroke competition. Virginia did not come in second. Kaydid not come in third. Virginia came in ahead of Janice. In what order didthey finish the competition?38. Peter, Carlos, and Ralph play different musical instruments and differentsports. The instruments that the boys play are violin, cello, and flute.The sports that the boys play are baseball, tennis, and soccer. From theclues given below, determine what instrument and what sport each boyplays.• The violinist plays tennis.• Peter does not play the cello.• The boy who plays the flute does not play soccer.• Ralph plays baseball.39. Let p represent “x is divisible by 6.”Let q represent “x is divisible by 2.”a. If possible, find a value of x that will:(1) make p true and q true. (2) make p true and q false.(3) make p false and q true. (4) make p false and q false.b. What conclusion can be drawn about the truth value of p → q?40. Each of the following statements is true.• Either Peter, Jim, or Tom is Maria’s brother.• If Jim is Maria’s brother, then Peter is Alice’s brother.• Alice has no brothers.• Tom has no sisters.Who is Maria’s brother?