Discrete Structures UPDATED Test Questions And CORRECT Answers

Discrete Structures UPDATED Test Questions And CORRECT Answers Give the converse for the foll owing statement: "John passes his tests whenever he studies." ✔✔✔ If John passes his tests, then he studies. Let p and q be the propositions "It is snowing" and "Class is cancelled," respectively. Express this compound proposition as an English sentence: ￢p → ￢q ✔✔✔ It is not snowing, so class is not cancelled. Give the inverse for the following statement: John passes his tests whenever he studies. ✔✔✔ If John does not study, then he does not pass his tests. T or F: p ∧ q means p or q. ✔✔✔ False What is the contrapositive for "if I went to the store, then my car is not at home?" ✔✔✔ If my car is at home, then I did not go to the store. What is the converse for "if we have enough money, then we can buy a Playstation 4 Pro?" ✔✔✔ If we can buy a Plays tation 4 Pro, then we have enough money. What is the converse for "if I went to the store, then my car is not at home?" ✔✔✔ If my car is not at home, then I went to the store. Which of the following is NOT a proposition? x + 4 = 16 I won the lottery. Birds can swim underwater. 9 * 9 = 81 ✔✔✔ x + 4 = 16 Let p be the proposition "Camping in the forest is allowed" and q be the proposition "wolves have been spotted in the forest." Which of the following expresses the compound proposition p → ¬q as an English s entence? ✔✔✔ If camping in the forest is allowed, then wolves have not been spotted in the forest. Let p be the proposition "you meet the maximum weight requirement," q be the proposition "you may join the military," and r be the proposition "you are young er than 18 years old." Express the following sentence as a logical expression: "If you do not meet the maximum weight requirement or are younger than 18 years old, then you may not join the military." ✔✔✔ (¬p ∨ r) → ¬q Let p be the proposition "Camping in the forest is allowed" and q be the proposition "wolves have been spotted in the forest." Which of the following expresses the compound proposition p ↔ ¬q as an English sentence? ✔✔✔ Camping is allowed in the forest if and only if wolves have not been spott ed in the forest. Let p be true and q be false. Is ¬q ⊕ p true or false? ✔✔✔ False T or F: The negation for "Kevin turned to the right" is "Kevin turned to the left." ✔✔✔ False p: 4 + 4 = 16 q: 16 * 4 = 64 Is the following statement true or false? p → q ✔✔✔True Which of the following is an example of the Distributive Equivalence Law? ￢￢ p ≡ p p ∨ q ≡ q ∨ p p ∨ (q ∨ r) ≡ (p ∨ q) ∨ r p ∨ (q ∧ r) ≡ (p ∨ q) ∧ (p ∨ r) ✔✔✔ p ∨ (q ∧ r) ≡ (p ∨ q) ∧ (p ∨ r) Which of the following is an example of the Associative Equivalence Law? p ∨ q ≡ q ∨ p