1) "The moon orbits the Earth." a) Proposition b) Compound statement c) Negation d) categorical 2) "It is raining and it is cold." a) Conjunction (∧) b) Disjunction ( ∨) c) Biconditional (↔) d) Conditional (→) 3) "Either the store is closed or we are too early." a) Biconditional (↔) b) Disjunction ( ∨) c) Conjunction (∧) d) Conditional (→) 4) Negate the statement "Some students are late." a) Many students are late b) No students are late. c) They are not late d) all students are late 5) Negate the statement "The cat is on the roof." a) The cat is not on the roof. b) All cat is on the roof c) Some cats are on the roof d) No cats is on the roof 6) what is the symbolic statement for "He will not pass the test and he will not study more." a) (p∧q) b) ~p∧~q c) ~(~p∧~q) d) (p∧~q) 7) "He is tall and he plays basketball." a) p∧q b) q∧p c) p→q d) ~p∧q 8) Which of the following is the negation of the statement:"The machine is running."? a) The machine is working perfectly. b) The machine is off. c) The machine is not running. d) The machine will run later 9) What is the negation of the statement:"All students passed the test."? a) Some students passed the test. b) No student passed the test. c) Some students did not pass the test. d) Every student failed the test. 10) Which of the following is a compound statement? a) The dog barked. b) It is raining. c) The lights are on and the door is locked. d) She runs every morning.
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